Simulate basic population dynamics model
Arguments
- ages
Ages to include in the simulation.
- years
Years to include in the simulation.
- Z
Total mortality function, like
sim_Z, for generating mortality matrix.- R
Recruitment (i.e. abundance at
min(ages)) function, likesim_R, for generating recruitment vector.- N0
Starting abundance (i.e. abundance at
min(years)) function, likesim_N0, for generating starting abundance vector.- growth
Closure, such as
sim_vonB, for simulating length given age. The function is used here to generate a abundance-at-age matrix and it is carried forward for later use insim_surveyto simulate lengths from survey catch at age.
Value
A list of length 9:
ages- Vector of ages in the simulationlengths- Vector of length groups (depends on growth function)years- Vector of years in the simulationR- Vector of recruitment valuesN0- Vector of starting abundance valuesZ- Matrix of total mortality valuesN- Matrix of abundance valuesN_at_length- Abundance at length matrixsim_length- Function for simulating lengths given ages
Details
Abundance from is calculated using a standard population dynamics model.
An abundance-at-length matrix is generated using a growth function coded as a closure like
sim_vonB. The function is retained for later use in sim_survey
to simulate lengths given simulated catch at age in a simulated survey. The ability to simulate
distributions by length is yet to be implemented.
Examples
R_fun <- sim_R(log_mean = log(100000), log_sd = 0.1, random_walk = TRUE, plot = TRUE)
R_fun(years = 1:100)
#> 1 2 3 4 5 6 7
#> 86115.210 88700.853 97996.030 110283.561 124124.202 139116.269 106266.060
#> 8 9 10 11 12 13 14
#> 100970.212 109912.369 105921.446 106414.365 130479.096 131495.129 138516.400
#> 15 16 17 18 19 20 21
#> 138627.157 127104.450 134729.528 128599.582 111377.825 99346.519 84981.949
#> 22 23 24 25 26 27 28
#> 89593.778 79267.485 76742.253 74227.511 69403.588 71177.995 67054.765
#> 29 30 31 32 33 34 35
#> 64938.349 57788.456 54775.616 55204.950 52807.212 44001.357 39718.444
#> 36 37 38 39 40 41 42
#> 41058.034 48759.847 56591.409 53684.634 58323.904 53803.250 51605.592
#> 43 44 45 46 47 48 49
#> 45413.735 36423.668 34382.823 34338.140 29977.597 30621.096 28609.199
#> 50 51 52 53 54 55 56
#> 26376.565 21334.681 16899.333 16909.223 18425.530 17806.687 17666.466
#> 57 58 59 60 61 62 63
#> 21143.820 20296.994 16826.316 15746.961 14359.045 14443.377 14155.149
#> 64 65 66 67 68 69 70
#> 13925.845 15165.306 14219.258 15183.336 16807.473 15418.250 14978.437
#> 71 72 73 74 75 76 77
#> 14319.737 12534.632 12655.132 12481.648 11419.606 13054.674 12197.761
#> 78 79 80 81 82 83 84
#> 10862.972 10895.653 9828.831 9948.752 12630.341 11657.871 11972.618
#> 85 86 87 88 89 90 91
#> 12444.104 12054.173 10772.134 10785.027 10757.177 11312.385 12240.277
#> 92 93 94 95 96 97 98
#> 11958.864 13429.148 15820.071 20988.385 21621.524 20482.459 19378.000
#> 99 100
#> 22618.925 25248.744
sim_abundance(R = sim_R(log_mean = log(100000), log_sd = 0.5))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178 181 184 187 190 193 196 199 202 205 208 211 214 217 220 223 226
#> [77] 229 232 235 238
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7
#> 62635.716 55877.714 55002.008 79275.006 17087.885 16086.738 6840.633
#> 8 9 10 11 12 13 14
#> 9592.063 21106.319 14405.841 23620.868 34033.704 74520.219 153431.666
#> 15 16 17 18 19 20
#> 170271.974 224344.641 88113.113 40009.602 39548.172 30960.954
#>
#> $N0
#> [1] 6.263572e+04 3.742932e+04 2.081397e+04 9.345867e+03 3.791605e+03
#> [6] 1.293673e+03 3.519829e+02 9.935020e+01 2.554073e+01 4.644370e+00
#> [11] 7.440762e-01 7.972659e-02 1.382480e-02 3.162383e-03 6.371955e-04
#> [16] 1.757000e-04 4.467097e-05 1.147066e-05 2.267202e-06 5.939780e-07
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.5148813 0.2403464 0.6137423 0.7294215 0.8679982 0.6535110 1.2526248
#> 2 0.5868301 0.2761922 0.7088798 0.6510849 0.7891481 0.3854664 1.0040946
#> 3 0.8006901 0.2913018 0.7025574 0.9213261 1.2274935 0.4643885 0.9062027
#> 4 0.9021448 0.3237236 0.7500739 1.2618889 1.3468377 0.5887655 1.0209032
#> 5 1.0753039 0.4435617 1.0186159 1.3442571 1.0139536 0.5693541 1.0785025
#> 6 1.3016583 0.4157140 0.7991037 0.9505405 0.4632904 0.2793678 0.5504559
#> 7 1.2649315 0.3972355 0.6786441 1.3320015 0.6821921 0.3854466 0.6364511
#> 8 1.3583765 0.3602344 0.6045118 1.1454343 0.6095506 0.3368413 0.4209544
#> 9 1.7046189 0.4099926 0.8434730 1.1259429 0.6323043 0.2883267 0.5284087
#> 10 1.8312675 0.4580232 0.5271462 0.8536640 0.6607182 0.3335120 0.5486079
#> 11 2.2335403 0.7302075 0.5055531 0.8244571 0.8437597 0.4042471 0.7505162
#> 12 1.7521394 0.7852661 0.4393178 0.7479787 0.6993884 0.4541638 0.8722326
#> 13 1.4751379 0.7750433 0.4919964 0.9018178 0.7371741 0.4641228 0.8279940
#> 14 1.6020046 0.7313284 0.4637148 0.8720013 0.6113642 0.2985659 0.5111305
#> 15 1.2882985 0.5367731 0.3856789 0.8466694 0.5172135 0.3907084 0.6999388
#> 16 1.3694542 0.7402226 0.4922600 1.6553447 0.6141372 0.3893758 0.4339619
#> 17 1.3595318 0.6429878 0.3825430 1.2036212 0.4749940 0.3227843 0.4275504
#> 18 1.6212455 0.8497839 0.4266441 1.3706669 0.4301914 0.3835392 0.3588083
#> 19 1.3394595 0.8564734 0.5113224 1.2494601 0.3181460 0.5161176 0.3617587
#> 20 1.0995910 0.9378985 0.5030804 0.9363052 0.2972331 0.5286959 0.4008367
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.7942858 1.2239047 0.3439609 0.2214552 0.2640002 0.3319526 0.1914181
#> 2 0.9094376 1.2506875 0.3053551 0.2600682 0.2815586 0.3139389 0.2383951
#> 3 0.9515537 0.9952791 0.2692876 0.2390751 0.3503905 0.3555782 0.2590102
#> 4 1.2871886 1.2427583 0.4010067 0.2920936 0.4107011 0.3770880 0.3049007
#> 5 1.0006555 0.9085721 0.4587379 0.4911387 0.5775641 0.4000084 0.3754915
#> 6 0.5510193 0.8121558 0.4345232 0.5239791 0.6193191 0.4234769 0.5640646
#> 7 0.4331169 0.9112915 0.3890056 0.4952257 0.4462495 0.3094576 0.4430672
#> 8 0.3482388 0.5458366 0.3581614 0.5269818 0.5321414 0.3670985 0.5703029
#> 9 0.4906950 0.7732275 0.5016055 0.6523121 0.6594323 0.3639696 0.5101911
#> 10 0.5687069 1.1174750 0.5794442 0.7970837 0.8226573 0.2332203 0.5107038
#> 11 0.4885362 0.6950821 0.6665550 0.7609870 0.9015222 0.3014390 0.6528309
#> 12 0.5856974 0.7387473 1.0022928 0.9944880 0.8048842 0.3691068 0.6219999
#> 13 0.7744380 0.6736228 0.8920252 0.8904080 0.7280740 0.3725940 0.7132045
#> 14 0.4798661 0.3488966 0.5041044 0.6093455 0.5736548 0.4102158 0.6688736
#> 15 0.6192381 0.3155402 0.5203368 0.6286627 0.8176823 0.3736854 0.7729354
#> 16 0.3696102 0.2363389 0.3995331 0.3696707 0.7472222 0.3663762 0.5723668
#> 17 0.3658938 0.2170191 0.1755654 0.3490108 0.7673601 0.2423404 0.4431693
#> 18 0.3302918 0.2422806 0.1556442 0.3905620 0.7102162 0.2707561 0.4007874
#> 19 0.2766942 0.1758177 0.2026155 0.2841423 0.4872562 0.2186082 0.3166119
#> 20 0.2836620 0.2265367 0.2582883 0.3587224 0.7361430 0.1973558 0.4093964
#> year
#> age 15 16 17 18 19 20
#> 1 0.1631616 0.5277769 0.3393869 0.2123860 0.3052512 0.4403319
#> 2 0.1857725 0.5334306 0.3389042 0.2136835 0.2656657 0.4725939
#> 3 0.2349816 0.5840404 0.4028603 0.3235761 0.3346434 0.6269619
#> 4 0.2980016 0.8071101 0.3909095 0.3010620 0.3468906 0.4873685
#> 5 0.3097471 0.7846494 0.3904408 0.2702783 0.2489762 0.4370505
#> 6 0.4022084 0.7496635 0.3568768 0.2081326 0.2057618 0.4458405
#> 7 0.3186134 0.6377795 0.1977996 0.1341173 0.1944976 0.5780722
#> 8 0.3534662 0.7968326 0.2178803 0.2396981 0.2913624 0.7469838
#> 9 0.3913838 0.7846725 0.2668803 0.3150766 0.3630587 0.8759644
#> 10 0.4285400 0.7657618 0.3654380 0.3897982 0.4835808 1.2298761
#> 11 0.4398226 0.9635657 0.3830654 0.5226204 0.6208667 1.1916001
#> 12 0.4872910 1.1181801 0.4554288 0.7161204 0.6947364 1.2154906
#> 13 0.5404119 0.9158310 0.3403630 0.6758265 0.7433431 1.1903602
#> 14 0.4472309 0.8447426 0.5475618 0.8769995 0.5660774 0.8411898
#> 15 0.5598875 1.1193825 0.7003881 0.6614387 0.5142382 0.5166770
#> 16 0.5399984 1.2435799 0.9830120 0.8343113 0.5485190 0.5656231
#> 17 0.5147278 1.6376830 0.9007392 0.7513721 0.5632290 0.4835877
#> 18 0.5077359 1.4549726 0.7965600 0.5987654 0.6200987 0.5733518
#> 19 0.4010187 0.8187358 0.5019250 0.5616510 0.4682145 0.6585393
#> 20 0.4725238 1.0418295 0.7628429 0.5672654 0.5424261 0.6301590
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 6.263572e+04 5.587771e+04 5.500201e+04 7.927501e+04 1.708788e+04
#> 2 3.742932e+04 3.742932e+04 4.393974e+04 2.977376e+04 3.822544e+04
#> 3 2.081397e+04 2.081397e+04 2.839640e+04 2.162693e+04 1.552641e+04
#> 4 9.345867e+03 9.345867e+03 1.555407e+04 1.406522e+04 8.607323e+03
#> 5 3.791605e+03 3.791605e+03 6.761269e+03 7.346681e+03 3.982126e+03
#> 6 1.293673e+03 1.293673e+03 2.433250e+03 2.441456e+03 1.915525e+03
#> 7 3.519829e+02 3.519829e+02 8.536547e+02 1.094310e+03 9.437012e+02
#> 8 9.935020e+01 9.935020e+01 2.365943e+02 4.330628e+02 2.888414e+02
#> 9 2.554073e+01 2.554073e+01 6.929804e+01 1.292612e+02 1.377511e+02
#> 10 4.644370e+00 4.644370e+00 1.695024e+01 2.981297e+01 4.192542e+01
#> 11 7.440762e-01 7.440762e-01 2.937716e+00 1.000551e+01 1.269591e+01
#> 12 7.972659e-02 7.972659e-02 3.585026e-01 1.771948e+00 4.387145e+00
#> 13 1.382480e-02 1.382480e-02 3.635519e-02 2.310463e-01 8.387025e-01
#> 14 3.162383e-03 3.162383e-03 6.368860e-03 2.222773e-02 9.376581e-02
#> 15 6.371955e-04 6.371955e-04 1.521958e-03 4.005649e-03 9.293724e-03
#> 16 1.757000e-04 1.757000e-04 3.725247e-04 1.034914e-03 1.717786e-03
#> 17 4.467097e-05 4.467097e-05 8.381026e-05 2.277033e-04 1.976957e-04
#> 18 1.147066e-05 1.147066e-05 2.348439e-05 5.716904e-05 6.833501e-05
#> 19 2.267202e-06 2.267202e-06 4.903789e-06 1.532817e-05 1.451737e-05
#> 20 5.939780e-07 5.939780e-07 9.627833e-07 2.940812e-06 4.393964e-06
#> year
#> age 6 7 8 9 10
#> 1 1.608674e+04 6.840633e+03 9.592063e+03 2.110632e+04 1.440584e+04
#> 2 7.173341e+03 8.368580e+03 1.954737e+03 4.334690e+03 6.206939e+03
#> 3 1.736320e+04 4.878828e+03 3.066049e+03 7.872715e+02 1.241056e+03
#> 4 4.549644e+03 1.091311e+04 1.971318e+03 1.183926e+03 2.909915e+02
#> 5 2.238432e+03 2.525107e+03 3.931659e+03 5.441740e+02 3.416658e+02
#> 6 1.444643e+03 1.266708e+03 8.588002e+02 1.445429e+03 2.193562e+02
#> 7 1.205267e+03 1.092528e+03 7.304939e+02 4.949798e+02 6.416260e+02
#> 8 4.770482e+02 8.197585e+02 5.781299e+02 4.737141e+02 1.989842e+02
#> 9 1.570128e+02 3.406229e+02 5.381059e+02 4.081194e+02 2.744495e+02
#> 10 7.319625e+01 1.176837e+02 2.008117e+02 3.294288e+02 1.883557e+02
#> 11 2.165365e+01 5.243803e+01 6.799217e+01 1.137110e+02 1.077577e+02
#> 12 5.460388e+00 1.445336e+01 2.475719e+01 4.171482e+01 5.674562e+01
#> 13 2.179924e+00 3.467230e+00 6.041753e+00 1.378276e+01 1.992767e+01
#> 14 4.012890e-01 1.370489e+00 1.514919e+00 2.785023e+00 7.027252e+00
#> 15 5.087828e-02 2.977089e-01 8.220425e-01 9.375324e-01 1.964740e+00
#> 16 5.540728e-03 3.442310e-02 1.478469e-01 4.425502e-01 6.838312e-01
#> 17 9.295070e-04 3.753730e-03 2.230400e-02 1.021627e-01 3.493992e-01
#> 18 1.229448e-04 6.730839e-04 2.447825e-03 1.546953e-02 8.223228e-02
#> 19 4.444404e-05 8.378014e-05 4.701547e-04 1.759286e-03 1.214104e-02
#> 20 1.056133e-05 2.652568e-05 5.834871e-05 3.565119e-04 1.475638e-03
#> year
#> age 11 12 13 14 15
#> 1 2.362087e+04 3.403370e+04 7.452022e+04 1.534317e+05 1.702720e+05
#> 2 1.021312e+04 1.892863e+04 2.613698e+04 5.346985e+04 1.267019e+05
#> 3 4.573655e+03 7.874303e+03 1.428367e+04 1.909473e+04 4.212843e+04
#> 4 9.480718e+02 3.601094e+03 5.546761e+03 1.000954e+04 1.473760e+04
#> 5 1.948612e+02 7.079239e+02 2.388192e+03 3.804278e+03 7.378999e+03
#> 6 2.159604e+02 1.192412e+02 3.973321e+02 1.600839e+03 2.613355e+03
#> 7 1.420492e+02 1.278830e+02 6.418885e+01 2.601597e+02 9.107048e+02
#> 8 4.348495e+02 8.656955e+01 8.184821e+01 4.710466e+01 1.670392e+02
#> 9 1.390821e+02 2.567283e+02 5.084626e+01 5.669965e+01 2.663082e+01
#> 10 1.661950e+02 7.243952e+01 1.327657e+02 3.533370e+01 3.404138e+01
#> 11 1.055187e+02 7.489433e+01 3.181999e+01 1.051477e+02 2.120280e+01
#> 12 5.533083e+01 4.929887e+01 3.040345e+01 2.353893e+01 5.473671e+01
#> 13 2.082774e+01 2.046758e+01 2.204348e+01 2.101947e+01 1.263734e+01
#> 14 8.166855e+00 8.549541e+00 9.882528e+00 1.518674e+01 1.030104e+01
#> 15 4.244786e+00 4.440373e+00 4.817345e+00 6.557127e+00 7.779945e+00
#> 16 1.167685e+00 2.263763e+00 1.960219e+00 3.315265e+00 3.027137e+00
#> 17 4.585998e-01 8.068255e-01 1.072301e+00 1.358906e+00 1.870434e+00
#> 18 2.931398e-01 3.234897e-01 3.745582e-01 8.415298e-01 8.724156e-01
#> 19 7.037962e-02 1.983608e-01 1.590075e-01 2.857140e-01 5.636503e-01
#> 20 9.914278e-03 5.297189e-02 1.218550e-01 1.277842e-01 2.081751e-01
#> year
#> age 16 17 18 19 20
#> 1 2.243446e+05 8.811311e+04 4.000960e+04 3.954817e+04 3.096095e+04
#> 2 1.446382e+05 1.323443e+05 6.275476e+04 3.235386e+04 2.914456e+04
#> 3 1.052212e+05 8.484320e+04 9.430199e+04 5.068099e+04 2.480556e+04
#> 4 3.330612e+04 5.867562e+04 5.670966e+04 6.823285e+04 3.626697e+04
#> 5 1.093972e+04 1.485938e+04 3.969062e+04 4.196695e+04 4.823262e+04
#> 6 5.413473e+03 4.991573e+03 1.005621e+04 3.029057e+04 3.271738e+04
#> 7 1.747920e+03 2.558004e+03 3.493396e+03 8.166641e+03 2.465734e+04
#> 8 6.622251e+02 9.237136e+02 2.098930e+03 3.054931e+03 6.723173e+03
#> 9 1.173032e+02 2.985009e+02 7.428706e+02 1.651576e+03 2.282781e+03
#> 10 1.800564e+01 5.352183e+01 2.285814e+02 5.420971e+02 1.148746e+03
#> 11 2.217658e+01 8.372256e+00 3.713841e+01 1.547939e+02 3.342417e+02
#> 12 1.365780e+01 8.461032e+00 5.707939e+00 2.202176e+01 8.319836e+01
#> 13 3.362412e+01 4.464381e+00 5.365783e+00 2.789152e+00 1.099340e+01
#> 14 7.361354e+00 1.345583e+01 3.176461e+00 2.729766e+00 1.326302e+00
#> 15 6.586446e+00 3.162938e+00 7.782292e+00 1.321501e+00 1.549819e+00
#> 16 4.444475e+00 2.150352e+00 1.570059e+00 4.016505e+00 7.901992e-01
#> 17 1.764061e+00 1.281565e+00 8.046236e-01 6.816778e-01 2.320756e+00
#> 18 1.117890e+00 3.429865e-01 5.206604e-01 3.795561e-01 3.881253e-01
#> 19 5.250692e-01 2.609230e-01 1.546448e-01 2.860975e-01 2.041599e-01
#> 20 3.774414e-01 2.315496e-01 1.579535e-01 8.818880e-02 1.791311e-01
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 3.805631e-58 3.395027e-58 3.341821e-58 4.816604e-58 1.038229e-58
#> 4 4.602878e-18 4.106256e-18 4.041904e-18 5.825641e-18 1.255728e-18
#> 7 3.367864e-04 3.004492e-04 2.957406e-04 4.262542e-04 9.187995e-05
#> 10 1.405921e+02 1.254231e+02 1.234575e+02 1.779407e+02 3.835546e+01
#> 13 1.682659e+04 1.501110e+04 1.477585e+04 2.129660e+04 4.590525e+03
#> 16 3.862449e+04 3.445775e+04 3.391879e+04 4.888255e+04 1.054145e+04
#> 19 7.568625e+03 6.827874e+03 6.854178e+03 9.248674e+03 2.591036e+03
#> 22 8.060387e+03 8.040675e+03 9.408758e+03 6.498172e+03 8.094519e+03
#> 25 1.656632e+04 1.656618e+04 1.946905e+04 1.320622e+04 1.688645e+04
#> 28 1.116131e+04 1.116131e+04 1.335349e+04 9.199512e+03 1.103695e+04
#> 31 7.068445e+03 7.068445e+03 9.221992e+03 6.808400e+03 5.905921e+03
#> 34 7.557474e+03 7.557474e+03 1.036139e+04 7.945158e+03 5.765800e+03
#> 37 6.253417e+03 6.253417e+03 8.901146e+03 7.077527e+03 4.888067e+03
#> 40 4.441068e+03 4.441068e+03 6.796400e+03 5.789021e+03 3.751042e+03
#> 43 3.407235e+03 3.407235e+03 5.561126e+03 5.050920e+03 3.101347e+03
#> 46 2.593792e+03 2.593792e+03 4.384720e+03 4.188905e+03 2.492414e+03
#> 49 1.863567e+03 1.863567e+03 3.233988e+03 3.239653e+03 1.906006e+03
#> 52 1.301429e+03 1.301429e+03 2.316855e+03 2.403803e+03 1.447564e+03
#> 55 8.852583e+02 8.852583e+02 1.619215e+03 1.714655e+03 1.096598e+03
#> 58 5.802127e+02 5.802127e+02 1.096640e+03 1.184743e+03 8.188518e+02
#> 61 3.664192e+02 3.664192e+02 7.213864e+02 8.073189e+02 5.980255e+02
#> 64 2.239424e+02 2.239424e+02 4.618866e+02 5.466444e+02 4.242537e+02
#> 67 1.328911e+02 1.328911e+02 2.873969e+02 3.652692e+02 2.910577e+02
#> 70 7.675854e+01 7.675854e+01 1.734680e+02 2.381255e+02 1.931654e+02
#> 73 4.321213e+01 4.321213e+01 1.015381e+02 1.501404e+02 1.244654e+02
#> 76 2.369830e+01 2.369830e+01 5.767651e+01 9.115277e+01 7.814259e+01
#> 79 1.263663e+01 1.263663e+01 3.181073e+01 5.323586e+01 4.786543e+01
#> 82 6.536947e+00 6.536947e+00 1.703387e+01 2.994585e+01 2.857723e+01
#> 85 3.275016e+00 3.275016e+00 8.849201e+00 1.626210e+01 1.659575e+01
#> 88 1.587858e+00 1.587858e+00 4.455778e+00 8.547407e+00 9.357739e+00
#> 91 7.451459e-01 7.451459e-01 2.172847e+00 4.357797e+00 5.118176e+00
#> 94 3.387778e-01 3.387778e-01 1.025860e+00 2.158512e+00 2.714782e+00
#> 97 1.494526e-01 1.494526e-01 4.690546e-01 1.039667e+00 1.396792e+00
#> 100 6.410036e-02 6.410036e-02 2.078757e-01 4.871696e-01 6.974038e-01
#> 103 2.678960e-02 2.678960e-02 8.941333e-02 2.221349e-01 3.380566e-01
#> 106 1.093670e-02 1.093670e-02 3.738960e-02 9.858767e-02 1.591684e-01
#> 109 4.372637e-03 4.372637e-03 1.522994e-02 4.260919e-02 7.283326e-02
#> 112 1.716707e-03 1.716707e-03 6.055892e-03 1.794679e-02 3.241214e-02
#> 115 6.636156e-04 6.636156e-04 2.356046e-03 7.374444e-03 1.403983e-02
#> 118 2.532579e-04 2.532579e-04 8.989781e-04 2.960072e-03 5.925661e-03
#> 121 9.566406e-05 9.566406e-05 3.372342e-04 1.162442e-03 2.439739e-03
#> 124 3.585125e-05 3.585125e-05 1.246798e-04 4.473753e-04 9.811756e-04
#> 127 1.335792e-05 1.335792e-05 4.554032e-05 1.690388e-04 3.859678e-04
#> 130 4.956858e-06 4.956858e-06 1.647216e-05 6.282379e-05 1.487257e-04
#> 133 1.834354e-06 1.834354e-06 5.913165e-06 2.300936e-05 5.622037e-05
#> 136 6.775767e-07 6.775767e-07 2.110945e-06 8.320334e-06 2.087943e-05
#> 139 2.499449e-07 2.499449e-07 7.507237e-07 2.975953e-06 7.629566e-06
#> 142 9.208701e-08 9.208701e-08 2.663492e-07 1.054678e-06 2.747033e-06
#> 145 3.388126e-08 3.388126e-08 9.437629e-08 3.709667e-07 9.759352e-07
#> 148 1.244460e-08 1.244460e-08 3.342184e-08 1.296951e-07 3.425790e-07
#> 151 4.561137e-09 4.561137e-09 1.183389e-08 4.513035e-08 1.189735e-07
#> 154 1.667338e-09 1.667338e-09 4.189834e-09 1.564842e-08 4.092894e-08
#> 157 6.076350e-10 6.076350e-10 1.483182e-09 5.411907e-09 1.396422e-08
#> 160 2.206640e-10 2.206640e-10 5.247803e-10 1.868215e-09 4.730336e-09
#> 163 7.982789e-11 7.982789e-11 1.855200e-10 6.440931e-10 1.592616e-09
#> 166 2.876215e-11 2.876215e-11 6.550578e-11 2.218676e-10 5.334620e-10
#> 169 1.031676e-11 1.031676e-11 2.308501e-11 7.636345e-11 1.779198e-10
#> 172 3.685278e-12 3.685278e-12 8.121386e-12 2.627203e-11 5.914166e-11
#> 175 1.310106e-12 1.310106e-12 2.848507e-12 9.030123e-12 1.960168e-11
#> 178 4.640998e-13 4.640998e-13 9.979386e-13 3.104142e-12 6.486867e-12
#> 181 1.634841e-13 1.634841e-13 3.478871e-13 1.065190e-12 2.142110e-12
#> 184 5.732714e-14 5.732714e-14 1.208253e-13 3.644491e-13 7.055806e-13
#> 187 2.008488e-14 2.008488e-14 4.209524e-14 1.254583e-13 2.334870e-13
#> 190 6.976919e-15 6.976919e-15 1.449904e-14 4.277172e-14 7.699721e-14
#> 193 2.412186e-15 2.412186e-15 4.963841e-15 1.442987e-14 2.491208e-14
#> 196 8.419861e-16 8.419861e-16 1.741387e-15 5.097112e-15 8.660430e-15
#> 199 2.868539e-16 2.868539e-16 5.837010e-16 1.669173e-15 2.683952e-15
#> 202 9.891469e-17 9.891469e-17 2.007337e-16 5.737988e-16 9.059364e-16
#> 205 3.308308e-17 3.308308e-17 6.665965e-17 1.853147e-16 2.625983e-16
#> 208 1.136365e-17 1.136365e-17 2.284086e-17 6.358183e-17 8.918946e-17
#> 211 4.143943e-18 4.143943e-18 8.318823e-18 2.351462e-17 3.744503e-17
#> 214 1.290032e-18 1.290032e-18 2.576911e-18 7.143306e-18 9.009393e-18
#> 217 4.812837e-19 4.812837e-19 9.781538e-19 2.699275e-18 3.702408e-18
#> 220 1.417917e-19 1.417917e-19 2.792853e-19 7.787906e-19 9.228313e-19
#> 223 4.194254e-20 4.194254e-20 8.154125e-20 2.282066e-19 2.521908e-19
#> 226 1.546926e-20 1.546926e-20 2.987944e-20 8.381781e-20 9.068903e-20
#> 229 3.401400e-21 3.401400e-21 6.602148e-21 1.870454e-20 2.232679e-20
#> 232 2.172587e-21 2.172587e-21 4.337494e-21 1.170955e-20 1.373718e-20
#> 235 3.835996e-22 3.835996e-22 7.582108e-22 2.354760e-21 2.587407e-21
#> 238 6.594480e-23 6.594480e-23 1.068904e-22 3.264957e-22 4.878280e-22
#> year
#> length 6 7 8 9 10
#> 1 9.774007e-59 4.156243e-59 5.827961e-59 1.282381e-58 8.752725e-59
#> 4 1.182158e-18 5.026940e-19 7.048869e-19 1.551029e-18 1.058634e-18
#> 7 8.649688e-05 3.678144e-05 5.157562e-05 1.134867e-04 7.745885e-05
#> 10 3.610829e+01 1.535448e+01 2.153034e+01 4.737524e+01 3.233535e+01
#> 13 4.321574e+03 1.837682e+03 2.576831e+03 5.670044e+03 3.870014e+03
#> 16 9.919571e+03 4.218932e+03 5.914412e+03 1.301404e+04 8.883047e+03
#> 19 1.898028e+03 9.070019e+02 1.088113e+03 2.394906e+03 1.695627e+03
#> 22 1.558027e+03 1.781298e+03 4.395868e+02 9.737142e+02 1.348161e+03
#> 25 3.247921e+03 3.705046e+03 8.760960e+02 1.909998e+03 2.735245e+03
#> 28 2.983486e+03 2.511194e+03 7.080328e+02 1.190182e+03 1.711185e+03
#> 31 4.421236e+03 1.668364e+03 8.274170e+02 4.482248e+02 6.619884e+02
#> 34 6.026079e+03 2.076278e+03 1.111346e+03 3.351236e+02 4.683809e+02
#> 37 4.779191e+03 2.608133e+03 1.014518e+03 3.479676e+02 3.406192e+02
#> 40 2.879645e+03 3.232642e+03 9.048088e+02 3.857280e+02 2.032898e+02
#> 43 1.885515e+03 3.303237e+03 9.991164e+02 4.024779e+02 1.446904e+02
#> 46 1.400759e+03 2.577255e+03 1.154477e+03 3.789092e+02 1.338141e+02
#> 49 1.095151e+03 1.705215e+03 1.194499e+03 3.760805e+02 1.371538e+02
#> 52 8.987675e+02 1.124830e+03 1.048048e+03 4.124448e+02 1.463887e+02
#> 55 7.652915e+02 8.190766e+02 8.034086e+02 4.440949e+02 1.630344e+02
#> 58 6.579767e+02 6.608725e+02 5.891804e+02 4.347634e+02 1.838217e+02
#> 61 5.548709e+02 5.646794e+02 4.546357e+02 3.901028e+02 1.979959e+02
#> 64 4.476517e+02 4.857950e+02 3.799133e+02 3.362323e+02 1.976721e+02
#> 67 3.407367e+02 4.054884e+02 3.307719e+02 2.900326e+02 1.842342e+02
#> 70 2.442374e+02 3.218491e+02 2.854566e+02 2.524191e+02 1.640142e+02
#> 73 1.658715e+02 2.411843e+02 2.364663e+02 2.174544e+02 1.418733e+02
#> 76 1.077177e+02 1.707313e+02 1.851185e+02 1.810082e+02 1.195436e+02
#> 79 6.745765e+01 1.146792e+02 1.362111e+02 1.432187e+02 9.740163e+01
#> 82 4.096906e+01 7.351558e+01 9.423765e+01 1.069075e+02 7.607605e+01
#> 85 2.419087e+01 4.522535e+01 6.152692e+01 7.517625e+01 5.665224e+01
#> 88 1.389101e+01 2.681500e+01 3.810592e+01 4.989572e+01 4.015218e+01
#> 91 7.751687e+00 1.536976e+01 2.251386e+01 3.137352e+01 2.710347e+01
#> 94 4.200858e+00 8.532430e+00 1.275741e+01 1.877211e+01 1.745912e+01
#> 97 2.210399e+00 4.593346e+00 6.965893e+00 1.073777e+01 1.075980e+01
#> 100 1.129652e+00 2.400264e+00 3.679714e+00 5.897810e+00 6.361588e+00
#> 103 5.611552e-01 1.218671e+00 1.886626e+00 3.123301e+00 3.618468e+00
#> 106 2.712024e-01 6.018432e-01 9.413314e-01 1.600557e+00 1.985594e+00
#> 109 1.276450e-01 2.894460e-01 4.580645e-01 7.962763e-01 1.053995e+00
#> 112 5.856316e-02 1.357308e-01 2.177790e-01 3.856722e-01 5.426152e-01
#> 115 2.621446e-02 6.213684e-02 1.013110e-01 1.823058e-01 2.715836e-01
#> 118 1.145834e-02 2.780256e-02 4.617247e-02 8.428115e-02 1.324463e-01
#> 121 4.894782e-03 1.217173e-02 2.063666e-02 3.817645e-02 6.306248e-02
#> 124 2.045277e-03 5.218921e-03 9.053015e-03 1.696921e-02 2.936757e-02
#> 127 8.367081e-04 2.193642e-03 3.900805e-03 7.411145e-03 1.339686e-02
#> 130 3.354423e-04 9.046492e-04 1.651927e-03 3.183666e-03 5.994559e-03
#> 133 1.319242e-04 3.663381e-04 6.879330e-04 1.346382e-03 2.634092e-03
#> 136 5.095102e-05 1.457884e-04 2.818718e-04 5.609488e-04 1.137775e-03
#> 139 1.934528e-05 5.706276e-05 1.136941e-04 2.303877e-04 4.835158e-04
#> 142 7.228857e-06 2.198483e-05 4.516911e-05 9.332759e-05 2.023158e-04
#> 145 2.661440e-06 8.344258e-06 1.768515e-05 3.730683e-05 8.341001e-05
#> 148 9.664780e-07 3.122498e-06 6.828061e-06 1.472300e-05 3.390460e-05
#> 151 3.465479e-07 1.152981e-06 2.601211e-06 5.738954e-06 1.359625e-05
#> 154 1.228248e-07 4.204374e-07 9.784092e-07 2.210539e-06 5.382187e-06
#> 157 4.307273e-08 1.515271e-07 3.635929e-07 8.417769e-07 2.104407e-06
#> 160 1.496012e-08 5.401722e-08 1.335816e-07 3.170581e-07 8.131681e-07
#> 163 5.150992e-09 1.906178e-08 4.855135e-08 1.181784e-07 3.107103e-07
#> 166 1.759781e-09 6.663641e-09 1.746891e-08 4.361268e-08 1.174621e-07
#> 169 5.970248e-10 2.309332e-09 6.226112e-09 1.594346e-08 4.395875e-08
#> 172 2.013090e-10 7.939699e-10 2.199570e-09 5.776594e-09 1.629424e-08
#> 175 6.750427e-11 2.709759e-10 7.706884e-10 2.075351e-09 5.985398e-09
#> 178 2.253533e-11 9.187721e-11 2.680024e-10 7.397481e-10 2.179980e-09
#> 181 7.489985e-12 3.096100e-11 9.253524e-11 2.617146e-10 7.876395e-10
#> 184 2.479019e-12 1.037146e-11 3.173716e-11 9.193923e-11 2.824309e-10
#> 187 8.201027e-13 3.462160e-12 1.082703e-11 3.210074e-11 1.005747e-10
#> 190 2.700510e-13 1.149332e-12 3.672194e-12 1.113847e-11 3.557937e-11
#> 193 8.820373e-14 3.785551e-13 1.236535e-12 3.838610e-12 1.250230e-11
#> 196 2.961172e-14 1.263041e-13 4.179781e-13 1.322386e-12 4.377013e-12
#> 199 9.456776e-15 4.089299e-14 1.388400e-13 4.499245e-13 1.519311e-12
#> 202 3.152727e-15 1.352123e-14 4.641917e-14 1.533663e-13 5.263225e-13
#> 205 9.190369e-16 4.163041e-15 1.505973e-14 5.120344e-14 1.798607e-13
#> 208 3.084759e-16 1.380047e-15 5.015764e-15 1.734239e-14 6.183692e-14
#> 211 1.344536e-16 5.663499e-16 1.802460e-15 6.092531e-15 2.174641e-14
#> 214 2.901085e-17 1.304077e-16 5.280546e-16 1.951088e-15 7.154363e-15
#> 217 1.340135e-17 6.464843e-17 2.325698e-16 7.099193e-16 2.548408e-15
#> 220 2.662924e-18 1.076503e-17 4.794769e-17 2.064483e-16 8.013338e-16
#> 223 7.046595e-19 2.362641e-18 1.069123e-17 5.325041e-17 2.464241e-16
#> 226 2.695068e-19 9.125075e-19 4.333242e-18 2.112909e-17 9.291470e-17
#> 229 5.331997e-20 1.619972e-19 5.906799e-19 3.171615e-18 1.730641e-17
#> 232 3.055343e-20 1.109999e-19 4.150265e-19 2.345587e-18 1.280844e-17
#> 235 7.279367e-21 1.519135e-20 6.515367e-20 2.744815e-19 1.675584e-18
#> 238 1.172544e-21 2.944942e-21 6.478008e-21 3.958077e-20 1.638287e-19
#> year
#> length 11 12 13 14 15
#> 1 1.435161e-58 2.067825e-58 4.527712e-58 9.322227e-58 1.034541e-57
#> 4 1.735814e-18 2.501017e-18 5.476228e-18 1.127515e-17 1.251269e-17
#> 7 1.270072e-04 1.829960e-04 4.006882e-04 8.249876e-04 9.155364e-04
#> 10 5.301939e+01 7.639204e+01 1.672681e+02 3.443927e+02 3.821924e+02
#> 13 6.345558e+03 9.142883e+03 2.001926e+04 4.121819e+04 4.574221e+04
#> 16 1.456530e+04 2.098677e+04 4.595037e+04 9.460840e+04 1.050024e+05
#> 19 2.780947e+03 4.086017e+03 8.659184e+03 1.782216e+04 2.104361e+04
#> 22 2.218324e+03 4.082881e+03 5.718342e+03 1.170017e+04 2.716056e+04
#> 25 4.514465e+03 8.363460e+03 1.156759e+04 2.360929e+04 5.592330e+04
#> 28 2.975473e+03 5.476939e+03 7.777977e+03 1.527262e+04 3.599161e+04
#> 31 1.669496e+03 2.964225e+03 4.874569e+03 7.653457e+03 1.738607e+04
#> 34 1.635060e+03 2.893610e+03 5.158830e+03 7.114191e+03 1.549654e+04
#> 37 1.227947e+03 2.372572e+03 4.177787e+03 5.933681e+03 1.213488e+04
#> 40 6.848979e+02 1.673448e+03 2.827866e+03 4.437349e+03 7.955473e+03
#> 43 3.893386e+02 1.231890e+03 2.080954e+03 3.545648e+03 5.748687e+03
#> 46 2.416779e+02 8.434388e+02 1.560541e+03 2.722581e+03 4.416806e+03
#> 49 1.558764e+02 5.055307e+02 1.103232e+03 1.951768e+03 3.332098e+03
#> 52 1.153449e+02 2.849951e+02 7.337051e+02 1.370534e+03 2.450444e+03
#> 55 1.045061e+02 1.650412e+02 4.536153e+02 9.458301e+02 1.734800e+03
#> 58 1.088999e+02 1.064961e+02 2.611233e+02 6.253327e+02 1.174777e+03
#> 61 1.202181e+02 8.286016e+01 1.467132e+02 3.900823e+02 7.645965e+02
#> 64 1.318351e+02 7.757731e+01 8.817204e+01 2.306314e+02 4.793188e+02
#> 67 1.374159e+02 7.959556e+01 6.225890e+01 1.334179e+02 2.891400e+02
#> 70 1.336621e+02 8.165986e+01 5.226763e+01 8.073227e+01 1.688044e+02
#> 73 1.215672e+02 7.978432e+01 4.822554e+01 5.528496e+01 9.755712e+01
#> 76 1.045074e+02 7.302384e+01 4.495233e+01 4.379745e+01 5.832811e+01
#> 79 8.576747e+01 6.263360e+01 4.040767e+01 3.789379e+01 3.798415e+01
#> 82 6.751845e+01 5.070346e+01 3.444674e+01 3.326199e+01 2.749866e+01
#> 85 5.099520e+01 3.905195e+01 2.780068e+01 2.831661e+01 2.146786e+01
#> 88 3.689154e+01 2.879255e+01 2.133205e+01 2.296289e+01 1.716381e+01
#> 91 2.553314e+01 2.039519e+01 1.564966e+01 1.767476e+01 1.351236e+01
#> 94 1.691108e+01 1.390597e+01 1.102881e+01 1.294505e+01 1.026727e+01
#> 97 1.073578e+01 9.137073e+00 7.490178e+00 9.060863e+00 7.477129e+00
#> 100 6.549240e+00 5.792516e+00 4.911334e+00 6.087288e+00 5.216110e+00
#> 103 3.850552e+00 3.548489e+00 3.112500e+00 3.939129e+00 3.493139e+00
#> 106 2.188406e+00 2.104369e+00 1.907945e+00 2.461720e+00 2.252047e+00
#> 109 1.205645e+00 1.210425e+00 1.132256e+00 1.488531e+00 1.401537e+00
#> 112 6.454695e-01 6.765468e-01 6.511922e-01 8.721049e-01 8.438751e-01
#> 115 3.365284e-01 3.680681e-01 3.634208e-01 4.956478e-01 4.924680e-01
#> 118 1.711729e-01 1.951887e-01 1.970839e-01 2.735492e-01 2.789476e-01
#> 121 8.506778e-02 1.010195e-01 1.040060e-01 1.467636e-01 1.535410e-01
#> 124 4.135764e-02 5.107744e-02 5.348696e-02 7.662981e-02 8.221220e-02
#> 127 1.969111e-02 2.525329e-02 2.684163e-02 3.898186e-02 4.286340e-02
#> 130 9.189938e-03 1.221879e-02 1.316115e-02 1.934235e-02 2.178209e-02
#> 133 4.207710e-03 5.790267e-03 6.312727e-03 9.372048e-03 1.079953e-02
#> 136 1.891495e-03 2.689429e-03 2.965215e-03 4.439451e-03 5.229264e-03
#> 139 8.354263e-04 1.225305e-03 1.365391e-03 2.058135e-03 2.475434e-03
#> 142 3.627952e-04 5.480042e-04 6.169341e-04 9.348368e-04 1.146795e-03
#> 145 1.550119e-04 2.407777e-04 2.737775e-04 4.164544e-04 5.204647e-04
#> 148 6.521004e-05 1.040111e-04 1.194297e-04 1.821402e-04 2.316391e-04
#> 151 2.702724e-05 4.420911e-05 5.125601e-05 7.828378e-05 1.012007e-04
#> 154 1.104373e-05 1.850328e-05 2.165933e-05 3.309567e-05 4.344420e-05
#> 157 4.451877e-06 7.631704e-06 9.018831e-06 1.377507e-05 1.834304e-05
#> 160 1.771599e-06 3.104243e-06 3.703283e-06 5.649560e-06 7.624334e-06
#> 163 6.964027e-07 1.246146e-06 1.500620e-06 2.285036e-06 3.122553e-06
#> 166 2.705829e-07 4.940484e-07 6.004921e-07 9.121671e-07 1.261147e-06
#> 169 1.039804e-07 1.935785e-07 2.374605e-07 3.596574e-07 5.027187e-07
#> 172 3.954335e-08 7.501021e-08 9.285552e-08 1.401694e-07 1.979374e-07
#> 175 1.489082e-08 2.876323e-08 3.592780e-08 5.403430e-08 7.703691e-08
#> 178 5.555626e-09 1.092136e-08 1.376336e-08 2.061706e-08 2.965839e-08
#> 181 2.054718e-09 4.108605e-09 5.223269e-09 7.791140e-09 1.130235e-08
#> 184 7.536977e-10 1.532260e-09 1.964838e-09 2.917780e-09 4.266210e-09
#> 187 2.743570e-10 5.668096e-10 7.330187e-10 1.083524e-09 1.596015e-09
#> 190 9.915128e-11 2.080784e-10 2.713500e-10 3.991988e-10 5.921168e-10
#> 193 3.558485e-11 7.583639e-11 9.971563e-11 1.459913e-10 2.179592e-10
#> 196 1.269964e-11 2.746356e-11 3.640043e-11 5.302909e-11 7.965757e-11
#> 199 4.500988e-12 9.879643e-12 1.320015e-11 1.913608e-11 2.891193e-11
#> 202 1.588005e-12 3.534896e-12 4.759774e-12 6.865703e-12 1.042885e-11
#> 205 5.556317e-13 1.256122e-12 1.704743e-12 2.446964e-12 3.738046e-12
#> 208 1.942241e-13 4.448965e-13 6.083257e-13 8.687889e-13 1.333394e-12
#> 211 6.831572e-14 1.576182e-13 2.168900e-13 3.083094e-13 4.741935e-13
#> 214 2.333976e-14 5.505655e-14 7.633537e-14 1.079676e-13 1.671919e-13
#> 217 8.325199e-15 1.947285e-14 2.712692e-14 3.814535e-14 5.918152e-14
#> 220 2.737239e-15 6.661511e-15 9.381648e-15 1.316094e-14 2.055249e-14
#> 223 8.973382e-16 2.241043e-15 3.217622e-15 4.465987e-15 7.092826e-15
#> 226 3.107758e-16 7.879249e-16 1.140323e-15 1.556214e-15 2.483701e-15
#> 229 8.251189e-17 2.239825e-16 3.421843e-16 4.614883e-16 7.400739e-16
#> 232 5.477671e-17 1.152459e-16 1.580628e-16 2.419912e-16 3.606855e-16
#> 235 1.001512e-17 3.378460e-17 4.471061e-17 6.009442e-17 1.088019e-16
#> 238 1.100706e-18 5.881062e-18 1.352862e-17 1.418690e-17 2.311208e-17
#> year
#> length 16 17 18 19 20
#> 1 1.363077e-57 5.353591e-58 2.430910e-58 2.402874e-58 1.881131e-58
#> 4 1.648630e-17 6.475122e-18 2.940165e-18 2.906256e-18 2.275211e-18
#> 7 1.206280e-03 4.737759e-04 2.151279e-04 2.126468e-04 1.664741e-04
#> 10 5.035639e+02 1.977787e+02 8.980554e+01 8.876982e+01 6.949495e+01
#> 13 6.026840e+04 2.367089e+04 1.074826e+04 1.062430e+04 8.317414e+03
#> 16 1.383443e+05 5.434704e+04 2.467781e+04 2.438879e+04 1.909374e+04
#> 19 2.730749e+04 1.214409e+04 5.564275e+03 4.942648e+03 3.941106e+03
#> 22 3.109863e+04 2.811244e+04 1.333057e+04 6.928106e+03 6.225182e+03
#> 25 6.415198e+04 5.863441e+04 2.809786e+04 1.449786e+04 1.294599e+04
#> 28 4.469448e+04 4.017880e+04 2.246887e+04 1.172085e+04 9.238352e+03
#> 31 3.296576e+04 2.766850e+04 2.559151e+04 1.382681e+04 7.588680e+03
#> 34 3.740791e+04 3.139224e+04 3.402779e+04 1.961521e+04 9.803726e+03
#> 37 2.973820e+04 2.815382e+04 3.027043e+04 2.128524e+04 1.094261e+04
#> 40 1.877488e+04 2.313315e+04 2.434295e+04 2.301063e+04 1.284166e+04
#> 43 1.267310e+04 1.933727e+04 2.153574e+04 2.392319e+04 1.536183e+04
#> 46 8.926407e+03 1.428487e+04 1.882436e+04 2.193025e+04 1.718247e+04
#> 49 6.135859e+03 9.282359e+03 1.544389e+04 1.892619e+04 1.800676e+04
#> 52 4.268380e+03 5.837040e+03 1.175490e+04 1.611923e+04 1.758074e+04
#> 55 3.038114e+03 3.772199e+03 8.206381e+03 1.327835e+04 1.606388e+04
#> 58 2.152116e+03 2.520429e+03 5.361781e+03 1.028430e+04 1.392654e+04
#> 61 1.481959e+03 1.722400e+03 3.427004e+03 7.420338e+03 1.146586e+04
#> 64 9.827464e+02 1.183475e+03 2.222472e+03 5.033563e+03 8.881386e+03
#> 67 6.270529e+02 8.010823e+02 1.476329e+03 3.279292e+03 6.434495e+03
#> 70 3.857390e+02 5.255999e+02 9.909373e+02 2.098925e+03 4.375646e+03
#> 73 2.294563e+02 3.314069e+02 6.577190e+02 1.337187e+03 2.824402e+03
#> 76 1.329218e+02 2.003940e+02 4.239455e+02 8.474829e+02 1.755023e+03
#> 79 7.627673e+01 1.165577e+02 2.625950e+02 5.293034e+02 1.062315e+03
#> 82 4.468773e+01 6.576612e+01 1.557706e+02 3.221816e+02 6.302632e+02
#> 85 2.768733e+01 3.655640e+01 8.868446e+01 1.895811e+02 3.665902e+02
#> 88 1.848377e+01 2.047978e+01 4.879166e+01 1.074303e+02 2.083153e+02
#> 91 1.312446e+01 1.186147e+01 2.623638e+01 5.863841e+01 1.151647e+02
#> 94 9.586730e+00 7.221637e+00 1.400265e+01 3.094321e+01 6.176664e+01
#> 97 6.977118e+00 4.610964e+00 7.546370e+00 1.589449e+01 3.212376e+01
#> 100 4.956956e+00 3.029008e+00 4.164778e+00 8.024490e+00 1.623521e+01
#> 103 3.403900e+00 1.998820e+00 2.366143e+00 4.028231e+00 8.010149e+00
#> 106 2.251572e+00 1.299887e+00 1.376177e+00 2.034064e+00 3.884155e+00
#> 109 1.434547e+00 8.233943e-01 8.090411e-01 1.042074e+00 1.866342e+00
#> 112 8.815857e-01 5.051296e-01 4.740690e-01 5.432390e-01 8.962144e-01
#> 115 5.235301e-01 2.995543e-01 2.737608e-01 2.872112e-01 4.331343e-01
#> 118 3.009992e-01 1.717649e-01 1.546433e-01 1.528293e-01 2.115050e-01
#> 121 1.678388e-01 9.535539e-02 8.510651e-02 8.111534e-02 1.043421e-01
#> 124 9.090783e-02 5.134090e-02 4.555631e-02 4.260196e-02 5.181511e-02
#> 127 4.789623e-02 2.685919e-02 2.371511e-02 2.201047e-02 2.575397e-02
#> 130 2.457814e-02 1.367773e-02 1.201449e-02 1.114490e-02 1.273491e-02
#> 133 1.229886e-02 6.791322e-03 5.930602e-03 5.519517e-03 6.232078e-03
#> 136 6.008200e-03 3.292893e-03 2.856292e-03 2.671636e-03 3.006408e-03
#> 139 2.868589e-03 1.561305e-03 1.344119e-03 1.263971e-03 1.425988e-03
#> 142 1.340002e-03 7.248267e-04 6.188929e-04 5.848370e-04 6.640518e-04
#> 145 6.130770e-04 3.298535e-04 2.792017e-04 2.648830e-04 3.034190e-04
#> 148 2.750092e-04 1.473040e-04 1.235642e-04 1.175562e-04 1.360302e-04
#> 151 1.210715e-04 6.461754e-05 5.370925e-05 5.117870e-05 5.986179e-05
#> 154 5.236341e-05 2.787010e-05 2.295415e-05 2.188113e-05 2.587414e-05
#> 157 2.227005e-05 1.182954e-05 9.655381e-06 9.197348e-06 1.099329e-05
#> 160 9.322336e-06 4.945486e-06 4.001143e-06 3.804752e-06 4.595292e-06
#> 163 3.844383e-06 2.038059e-06 1.634891e-06 1.550594e-06 1.891531e-06
#> 166 1.563149e-06 8.285732e-07 6.592393e-07 6.231488e-07 7.673982e-07
#> 169 6.271968e-07 3.325658e-07 2.625338e-07 2.471710e-07 3.071275e-07
#> 172 2.485305e-07 1.318773e-07 1.033320e-07 9.684636e-08 1.213611e-07
#> 175 9.733191e-08 5.170213e-08 4.022477e-08 3.751403e-08 4.738671e-08
#> 178 3.770010e-08 2.005308e-08 1.549703e-08 1.437658e-08 1.829753e-08
#> 181 1.445235e-08 7.699522e-09 5.912487e-09 5.454700e-09 6.992013e-09
#> 184 5.486884e-09 2.928332e-09 2.235206e-09 2.050342e-09 2.645991e-09
#> 187 2.064306e-09 1.103836e-09 8.377967e-10 7.640156e-10 9.923274e-10
#> 190 7.700839e-10 4.126274e-10 3.115036e-10 2.823806e-10 3.690151e-10
#> 193 2.850079e-10 1.530400e-10 1.149519e-10 1.035781e-10 1.361439e-10
#> 196 1.047083e-10 5.634869e-11 4.212247e-11 3.772842e-11 4.987482e-11
#> 199 3.820182e-11 2.060469e-11 1.533407e-11 1.365102e-11 1.814138e-11
#> 202 1.384927e-11 7.487324e-12 5.547726e-12 4.909496e-12 6.558756e-12
#> 205 4.988681e-12 2.702694e-12 1.995138e-12 1.755223e-12 2.356689e-12
#> 208 1.787970e-12 9.710594e-13 7.140038e-13 6.243953e-13 8.426246e-13
#> 211 6.382876e-13 3.481689e-13 2.546949e-13 2.213882e-13 2.997912e-13
#> 214 2.264229e-13 1.234453e-13 9.007587e-14 7.818389e-14 1.062096e-13
#> 217 8.023381e-14 4.381522e-14 3.229059e-14 2.737012e-14 3.741908e-14
#> 220 2.811959e-14 1.538956e-14 1.111741e-14 9.579059e-15 1.313283e-14
#> 223 9.721877e-15 5.349231e-15 3.845586e-15 3.206612e-15 4.580243e-15
#> 226 3.395715e-15 1.896020e-15 1.344857e-15 1.116748e-15 1.658858e-15
#> 229 1.069663e-15 5.909742e-16 4.245991e-16 3.356377e-16 4.718442e-16
#> 232 4.921259e-16 2.502587e-16 1.973611e-16 1.644111e-16 2.077485e-16
#> 235 1.421032e-16 8.038262e-17 5.224174e-17 5.134505e-17 6.244141e-17
#> 238 4.190441e-17 2.570717e-17 1.753636e-17 9.790924e-18 1.988755e-17
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604df14e448>
#>
sim_abundance(years = 1:20,
R = sim_R(log_mean = log(c(rep(100000, 10), rep(10000, 10))), plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178 181 184 187 190 193 196 199 202 205 208 211 214 217 220 223 226
#> [77] 229 232 235 238
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7
#> 180700.538 275891.508 260013.030 239466.201 263760.016 62195.170 81912.374
#> 8 9 10 11 12 13 14
#> 134442.023 68775.157 115567.151 7533.408 3359.597 2327.987 2315.627
#> 15 16 17 18 19 20
#> 3185.566 3518.662 3172.345 5231.858 10542.895 8795.689
#>
#> $N0
#> [1] 1.807005e+05 4.434941e+04 6.657846e+03 1.294133e+03 2.761365e+02
#> [6] 5.202963e+01 7.936376e+00 2.260373e+00 4.596100e-01 8.769105e-02
#> [11] 2.104789e-02 6.896394e-03 2.693447e-03 9.516619e-04 3.583020e-04
#> [16] 1.400784e-04 6.314377e-05 2.557037e-05 1.133169e-05 5.470376e-06
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 1.4047418 1.284598 0.7893714 0.3328571 0.4111331 0.3808980 0.4158871
#> 2 1.8963035 1.599179 0.8123169 0.3261419 0.3592188 0.3199216 0.2792110
#> 3 1.6379548 1.055440 0.7802626 0.1989806 0.2181180 0.2405802 0.2251775
#> 4 1.5447013 1.132706 0.8133311 0.2097647 0.2342684 0.2783563 0.2576002
#> 5 1.6690818 1.623716 1.0672779 0.2044748 0.2200564 0.3547311 0.2938602
#> 6 1.8803565 1.909762 1.1699423 0.2244603 0.2249496 0.3099594 0.3786287
#> 7 1.2559269 1.121754 0.6669046 0.2142311 0.2286389 0.2390613 0.4218134
#> 8 1.5929068 1.525609 0.7953651 0.2092614 0.2676179 0.2273771 0.4691489
#> 9 1.6565586 1.603953 1.2334923 0.2670522 0.2893288 0.2798999 0.4864472
#> 10 1.4270197 1.187332 0.9227292 0.2696901 0.3291355 0.3079261 0.5593158
#> 11 1.1158015 1.627547 1.1246200 0.3201105 0.3290237 0.3776192 0.5287711
#> 12 0.9401769 1.102197 0.7120608 0.3083249 0.3099581 0.4170046 0.4364608
#> 13 1.0403671 1.204061 0.5783832 0.3865616 0.4021795 0.3044204 0.4518204
#> 14 0.9768337 1.378394 1.0521407 0.5011109 0.4735363 0.2694908 0.3563529
#> 15 0.9391737 1.539371 1.4706176 0.4081432 0.4724039 0.2894097 0.3446243
#> 16 0.7967883 1.250852 1.1363188 0.6113349 0.6627660 0.3525235 0.3417559
#> 17 0.9039799 1.247540 1.0621769 0.6810947 0.6589365 0.3507381 0.2577413
#> 18 0.8138312 1.237443 0.9485033 0.3893389 0.5309043 0.3735016 0.1959389
#> 19 0.7282558 1.264559 1.0009228 0.4585624 0.4255731 0.3632707 0.2176478
#> 20 0.9428886 1.250204 1.0048462 0.4233894 0.5321532 0.2450074 0.1643928
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.7286803 0.6474177 1.4563111 0.5058096 0.3115383 0.3166348 0.6301680
#> 2 0.8609130 0.5896408 1.2165485 0.3047995 0.2585149 0.1895676 0.4567449
#> 3 0.9445055 0.7968980 1.3156507 0.3858813 0.3754111 0.2043639 0.4632262
#> 4 0.9021387 0.8481071 1.4372348 0.4548489 0.3228490 0.2527653 0.3986188
#> 5 0.9137394 0.8652112 1.4637017 0.5691518 0.2898057 0.3075126 0.4916870
#> 6 0.8866475 0.5662217 1.1015783 0.5294758 0.3801605 0.5339883 0.5880094
#> 7 0.6649718 0.6499849 1.1378382 0.5480712 0.4538173 0.5774526 0.5816039
#> 8 0.8526806 0.7668773 0.9591719 0.4724934 0.6523060 0.9352291 0.6370940
#> 9 1.0902100 0.7493089 0.9704188 0.5466747 0.5894336 0.8109463 0.5436457
#> 10 1.0508266 0.5378496 0.7927624 0.5538456 0.6478347 0.6647524 0.9673575
#> 11 1.1665602 0.5808786 0.7466394 0.4896896 0.4434920 0.5157437 0.9399216
#> 12 1.0857972 0.6284660 0.8372667 0.6344313 0.7488841 0.5764129 1.1101089
#> 13 0.8124061 0.4144704 0.7427385 0.7571423 0.7336057 0.4065744 0.5817756
#> 14 0.7007321 0.3976668 0.6516571 0.7141965 0.6649785 0.4102005 0.5434944
#> 15 0.5307841 0.4359404 0.5187470 0.5001509 0.9594890 0.5651161 0.7281202
#> 16 0.3987561 0.4081612 0.3964890 0.4835709 0.9987948 0.5724140 0.9246562
#> 17 0.2379691 0.3557868 0.3374928 0.5831798 0.8375547 0.4890266 0.7831131
#> 18 0.2202105 0.3508270 0.2736892 0.6305509 0.9027910 0.6041824 0.6211156
#> 19 0.3161615 0.4556898 0.3619758 0.5515922 0.6628410 0.6285643 0.6456218
#> 20 0.2148142 0.3741544 0.3216027 0.4059477 0.4700232 0.8052431 0.6757852
#> year
#> age 15 16 17 18 19 20
#> 1 0.3444455 0.2948276 0.2312997 0.7069088 0.5959355 0.4090692
#> 2 0.2852402 0.2164452 0.2128379 0.6393155 0.4416741 0.3050477
#> 3 0.3303471 0.2579515 0.2671515 0.8502553 0.6066639 0.4326078
#> 4 0.4375313 0.3701219 0.2908857 0.7747115 0.8825531 0.5024248
#> 5 0.5745798 0.5050353 0.4804918 0.8045344 1.2292135 0.8633869
#> 6 0.5827486 0.4971800 0.4262158 0.7876046 0.8898972 0.6784345
#> 7 0.3831513 0.2781828 0.4570205 0.7697779 0.7730135 0.6423034
#> 8 0.2661817 0.2575812 0.3517322 0.9208389 0.8455375 0.6635416
#> 9 0.2781010 0.3299916 0.3815216 1.0527281 0.7105954 0.7774112
#> 10 0.4389924 0.4398026 0.4843349 1.0753625 0.7644179 0.9940679
#> 11 0.4407407 0.4939856 0.5861542 1.1848479 0.5714036 0.8569747
#> 12 0.6198610 0.4579495 0.5949930 1.3863078 0.5452271 0.7451188
#> 13 0.5184337 0.4366070 0.5907647 1.3035176 0.3640193 0.5024858
#> 14 0.6113176 0.4986808 0.6233655 1.2849092 0.3765206 0.4681224
#> 15 0.5279589 0.3781285 0.3858241 1.0215344 0.4485270 0.4230305
#> 16 0.4079706 0.2797847 0.2480632 0.5696308 0.3771766 0.3091912
#> 17 0.3650487 0.1933067 0.1828739 0.4190999 0.2746224 0.2572021
#> 18 0.2675288 0.2133490 0.2318353 0.4014845 0.3213522 0.3454914
#> 19 0.3259177 0.1841218 0.2604864 0.5066341 0.4426368 0.5138016
#> 20 0.4092857 0.3283169 0.2789137 0.5134129 0.3010280 0.3532170
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 1.807005e+05 2.758915e+05 2.600130e+05 2.394662e+05 2.637600e+05
#> 2 4.434941e+04 4.434941e+04 7.635621e+04 1.180798e+05 1.716668e+05
#> 3 6.657846e+03 6.657846e+03 8.961347e+03 3.388907e+04 8.521849e+04
#> 4 1.294133e+03 1.294133e+03 2.317193e+03 4.106857e+03 2.777432e+04
#> 5 2.761365e+02 2.761365e+02 4.169182e+02 1.027394e+03 3.329737e+03
#> 6 5.202963e+01 5.202963e+01 5.444435e+01 1.433963e+02 8.374032e+02
#> 7 7.936376e+00 7.936376e+00 7.706402e+00 1.689870e+01 1.145661e+02
#> 8 2.260373e+00 2.260373e+00 2.584941e+00 3.955658e+00 1.363999e+01
#> 9 4.596100e-01 4.596100e-01 4.916053e-01 1.166885e+00 3.208763e+00
#> 10 8.769105e-02 8.769105e-02 9.242761e-02 1.431916e-01 8.934057e-01
#> 11 2.104789e-02 2.104789e-02 2.674876e-02 3.673377e-02 1.093434e-01
#> 12 6.896394e-03 6.896394e-03 4.134030e-03 8.687353e-03 2.667125e-02
#> 13 2.693447e-03 2.693447e-03 2.290573e-03 2.028288e-03 6.382395e-03
#> 14 9.516619e-04 9.516619e-04 8.079627e-04 1.284563e-03 1.377996e-03
#> 15 3.583020e-04 3.583020e-04 2.398026e-04 2.821320e-04 7.782620e-04
#> 16 1.400784e-04 1.400784e-04 7.686147e-05 5.510269e-05 1.875850e-04
#> 17 6.314377e-05 6.314377e-05 4.009898e-05 2.467242e-05 2.990015e-05
#> 18 2.557037e-05 2.557037e-05 1.813555e-05 1.386232e-05 1.248579e-05
#> 19 1.133169e-05 1.133169e-05 7.418605e-06 7.024267e-06 9.391783e-06
#> 20 5.470376e-06 5.470376e-06 3.199659e-06 2.726635e-06 4.440684e-06
#> year
#> age 6 7 8 9 10
#> 1 6.219517e+04 8.191237e+04 1.344420e+05 6.877516e+04 1.155672e+05
#> 2 1.748462e+05 4.249470e+04 5.404208e+04 6.487438e+04 3.599662e+04
#> 3 1.198614e+05 1.269743e+05 3.214215e+04 2.284769e+04 3.597456e+04
#> 4 6.851828e+04 9.423165e+04 1.013731e+05 1.249918e+04 1.029802e+04
#> 5 2.197364e+04 5.187019e+04 7.283204e+04 4.112716e+04 5.352457e+03
#> 6 2.672026e+03 1.541148e+04 3.866303e+04 2.920724e+04 1.731300e+04
#> 7 6.687137e+02 1.959869e+03 1.055378e+04 1.593052e+04 1.657996e+04
#> 8 9.115059e+01 5.265229e+02 1.285393e+03 5.427680e+03 8.316584e+03
#> 9 1.043732e+01 7.261241e+01 3.293582e+02 5.479252e+02 2.520947e+03
#> 10 2.402613e+00 7.889146e+00 4.464260e+01 1.107124e+02 2.590005e+02
#> 11 6.428461e-01 1.765847e+00 4.509436e+00 1.560922e+01 6.465635e+01
#> 12 7.868638e-02 4.406655e-01 1.040665e+00 1.404402e+00 8.731903e+00
#> 13 1.956276e-02 5.185573e-02 2.848109e-01 3.513622e-01 7.491215e-01
#> 14 4.268933e-03 1.442853e-02 3.300454e-02 1.263959e-01 2.321415e-01
#> 15 8.582105e-04 3.260476e-03 1.010323e-02 1.637758e-02 8.492364e-02
#> 16 4.852476e-04 6.425469e-04 2.310003e-03 5.942147e-03 1.059066e-02
#> 17 9.668574e-05 3.410864e-04 4.565434e-04 1.550369e-03 3.950765e-03
#> 18 1.547038e-05 6.808302e-05 2.635899e-04 3.598599e-04 1.086222e-03
#> 19 7.342556e-06 1.064857e-05 5.596849e-05 2.114913e-04 2.533793e-04
#> 20 6.136546e-06 5.106000e-06 8.565802e-06 4.079777e-05 1.340877e-04
#> year
#> age 11 12 13 14 15
#> 1 7.533408e+03 3.359597e+03 2.327987e+03 2.315627e+03 3.185566e+03
#> 2 2.693807e+04 4.542775e+03 2.460298e+03 1.696164e+03 1.233077e+03
#> 3 1.066403e+04 1.986067e+04 3.507919e+03 2.035446e+03 1.074252e+03
#> 4 9.651963e+03 7.249954e+03 1.364441e+04 2.859535e+03 1.280805e+03
#> 5 2.446644e+03 6.124593e+03 5.249570e+03 1.059694e+04 1.919453e+03
#> 6 1.238442e+03 1.384813e+03 4.583701e+03 3.859870e+03 6.481020e+03
#> 7 5.753907e+03 7.293353e+02 9.468684e+02 2.687250e+03 2.143895e+03
#> 8 5.314063e+03 3.326125e+03 4.632729e+02 5.315023e+02 1.502176e+03
#> 9 3.186999e+03 3.313030e+03 1.732390e+03 1.818327e+02 2.810727e+02
#> 10 9.552480e+02 1.844863e+03 1.837543e+03 7.699388e+02 1.055771e+02
#> 11 1.172218e+02 5.490148e+02 9.651905e+02 9.452340e+02 2.926430e+02
#> 12 3.064431e+01 7.183544e+01 3.523529e+02 5.762732e+02 3.692637e+02
#> 13 3.779972e+00 1.624874e+01 3.397054e+01 1.979908e+02 1.898953e+02
#> 14 3.564389e-01 1.772825e+00 7.802232e+00 2.262192e+01 1.106580e+02
#> 15 1.209878e-01 1.745072e-01 9.117366e-01 5.176915e+00 1.313690e+01
#> 16 5.055215e-02 7.337176e-02 6.685173e-02 5.181346e-01 2.499496e+00
#> 17 7.124102e-03 3.116933e-02 2.702451e-02 3.771520e-02 2.055273e-01
#> 18 2.819097e-03 3.976110e-03 1.348907e-02 1.657205e-02 1.723514e-02
#> 19 8.261464e-04 1.500601e-03 1.612060e-03 7.372062e-03 8.904904e-03
#> 20 1.764278e-04 4.758867e-04 7.733873e-04 8.598035e-04 3.865441e-03
#> year
#> age 16 17 18 19 20
#> 1 3.518662e+03 3.172345e+03 5.231858e+03 10542.894511 8795.689031
#> 2 2.257334e+03 2.620207e+03 2.517261e+03 2580.176225 5809.628655
#> 3 9.270687e+02 1.818004e+03 2.117879e+03 1328.241648 1658.947849
#> 4 7.720369e+02 7.162837e+02 1.391786e+03 904.982131 724.112908
#> 5 8.269240e+02 5.332074e+02 5.354944e+02 641.386129 374.413999
#> 6 1.080540e+03 4.990357e+02 3.297777e+02 239.524597 187.619914
#> 7 3.618752e+03 6.572312e+02 3.258580e+02 150.026822 98.372269
#> 8 1.461514e+03 2.739969e+03 4.161374e+02 150.910033 69.255366
#> 9 1.151117e+03 1.129632e+03 1.927482e+03 165.699605 64.789682
#> 10 2.128340e+02 8.275723e+02 7.713369e+02 672.660935 81.416760
#> 11 6.806405e+01 1.370999e+02 5.098729e+02 263.160151 313.194228
#> 12 1.883332e+02 4.153197e+01 7.629105e+01 155.915413 148.615012
#> 13 1.986709e+02 1.191357e+02 2.290764e+01 19.072507 90.385739
#> 14 1.130736e+02 1.283862e+02 6.598970e+01 6.221138 13.253061
#> 15 6.004698e+01 6.867316e+01 6.883260e+01 18.257747 4.269225
#> 16 7.748243e+00 4.114074e+01 4.669020e+01 24.782629 11.658813
#> 17 1.662161e+00 5.857257e+00 3.210255e+01 26.414247 16.995803
#> 18 1.426694e-01 1.370001e+00 4.878352e+00 21.111875 20.071104
#> 19 1.318950e-02 1.152589e-01 1.086516e+00 3.265207 15.309651
#> 20 6.428135e-03 1.097148e-02 8.882736e-02 0.654648 2.097374
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.097903e-57 1.676266e-57 1.579792e-57 1.454953e-57 1.602558e-57
#> 4 1.327905e-17 2.027429e-17 1.910744e-17 1.759753e-17 1.938279e-17
#> 7 9.716098e-04 1.483443e-03 1.398066e-03 1.287587e-03 1.418213e-03
#> 10 4.056004e+02 6.192660e+02 5.836252e+02 5.375058e+02 5.920357e+02
#> 13 4.854376e+04 7.411605e+04 6.985042e+04 6.433068e+04 7.085702e+04
#> 16 1.114201e+05 1.701114e+05 1.603260e+05 1.476638e+05 1.626505e+05
#> 19 2.063981e+04 3.107378e+04 2.993453e+04 2.846610e+04 3.213554e+04
#> 22 9.859401e+03 1.013705e+04 1.682560e+04 2.554734e+04 3.689874e+04
#> 25 1.953332e+04 1.953537e+04 3.361572e+04 5.209013e+04 7.592383e+04
#> 28 1.208708e+04 1.208709e+04 2.065244e+04 3.320171e+04 5.054156e+04
#> 31 4.221955e+03 4.221955e+03 6.697876e+03 1.493575e+04 3.001635e+04
#> 34 2.577945e+03 2.577945e+03 3.603630e+03 1.230119e+04 3.069386e+04
#> 37 1.789282e+03 1.789282e+03 2.490716e+03 8.735710e+03 2.418387e+04
#> 40 9.759314e+02 9.759314e+02 1.456433e+03 4.345179e+03 1.522843e+04
#> 43 5.407498e+02 5.407498e+02 8.861857e+02 2.050135e+03 9.903348e+03
#> 46 3.244380e+02 3.244380e+02 5.517523e+02 1.114059e+03 6.206788e+03
#> 49 1.892776e+02 1.892776e+02 3.152345e+02 6.415964e+02 3.390217e+03
#> 52 1.065665e+02 1.065665e+02 1.680658e+02 3.660094e+02 1.702032e+03
#> 55 5.911827e+01 5.911827e+01 8.691741e+01 2.022354e+02 8.614209e+02
#> 58 3.207676e+01 3.207676e+01 4.368231e+01 1.059844e+02 4.524805e+02
#> 61 1.690085e+01 1.690085e+01 2.127844e+01 5.254859e+01 2.399693e+02
#> 64 8.696471e+00 8.696471e+00 1.018892e+01 2.505113e+01 1.244135e+02
#> 67 4.414613e+00 4.414613e+00 4.896187e+00 1.171845e+01 6.202785e+01
#> 70 2.230350e+00 2.230350e+00 2.395294e+00 5.471504e+00 2.968491e+01
#> 73 1.127271e+00 1.127271e+00 1.196465e+00 2.582125e+00 1.374529e+01
#> 76 5.698950e-01 5.698950e-01 6.056982e-01 1.238788e+00 6.236267e+00
#> 79 2.868326e-01 2.868326e-01 3.068872e-01 6.023615e-01 2.808389e+00
#> 82 1.428856e-01 1.428856e-01 1.538475e-01 2.940143e-01 1.267537e+00
#> 85 7.019028e-02 7.019028e-02 7.579974e-02 1.424842e-01 5.758302e-01
#> 88 3.399566e-02 3.399566e-02 3.664443e-02 6.801086e-02 2.629592e-01
#> 91 1.628212e-02 1.628212e-02 1.741906e-02 3.186234e-02 1.201002e-01
#> 94 7.748720e-03 7.748720e-03 8.175134e-03 1.465840e-02 5.452841e-02
#> 97 3.683310e-03 3.683310e-03 3.805763e-03 6.643947e-03 2.449070e-02
#> 100 1.756254e-03 1.756254e-03 1.764881e-03 2.980670e-03 1.085208e-02
#> 103 8.420345e-04 8.420345e-04 8.179719e-04 1.329873e-03 4.742027e-03
#> 106 4.060607e-04 4.060607e-04 3.796484e-04 5.923557e-04 2.046035e-03
#> 109 1.966521e-04 1.966521e-04 1.765795e-04 2.640227e-04 8.737199e-04
#> 112 9.538344e-05 9.538344e-05 8.226170e-05 1.178357e-04 3.702664e-04
#> 115 4.618918e-05 4.618918e-05 3.833114e-05 5.262340e-05 1.561086e-04
#> 118 2.226242e-05 2.226242e-05 1.783086e-05 2.347759e-05 6.560565e-05
#> 121 1.065177e-05 1.065177e-05 8.263269e-06 1.044372e-05 2.751356e-05
#> 124 5.048580e-06 5.048580e-06 3.807316e-06 4.623436e-06 1.151834e-05
#> 127 2.366562e-06 2.366562e-06 1.741041e-06 2.033732e-06 4.812088e-06
#> 130 1.095877e-06 1.095877e-06 7.890311e-07 8.878122e-07 2.004718e-06
#> 133 5.009017e-07 5.009017e-07 3.539850e-07 3.843163e-07 8.320167e-07
#> 136 2.258732e-07 2.258732e-07 1.570787e-07 1.648812e-07 3.436687e-07
#> 139 1.004552e-07 1.004552e-07 6.890247e-08 7.008744e-08 1.411523e-07
#> 142 4.405825e-08 4.405825e-08 2.986548e-08 2.951430e-08 5.760430e-08
#> 145 1.905658e-08 1.905658e-08 1.278871e-08 1.231188e-08 2.334521e-08
#> 148 8.130024e-09 8.130024e-09 5.409681e-09 5.087611e-09 9.391747e-09
#> 151 3.421964e-09 3.421964e-09 2.260579e-09 2.082636e-09 3.749691e-09
#> 154 1.421466e-09 1.421466e-09 9.333130e-10 8.445840e-10 1.485560e-09
#> 157 5.829640e-10 5.829640e-10 3.807911e-10 3.393378e-10 5.840086e-10
#> 160 2.361443e-10 2.361443e-10 1.535738e-10 1.350887e-10 2.278225e-10
#> 163 9.452482e-11 9.452482e-11 6.124377e-11 5.329102e-11 8.819915e-11
#> 166 3.740751e-11 3.740751e-11 2.415925e-11 2.083540e-11 3.389079e-11
#> 169 1.464311e-11 1.464311e-11 9.430937e-12 8.074818e-12 1.292725e-11
#> 172 5.672758e-12 5.672758e-12 3.644736e-12 3.102758e-12 4.895985e-12
#> 175 2.176010e-12 2.176010e-12 1.395097e-12 1.182331e-12 1.841335e-12
#> 178 8.269158e-13 8.269158e-13 5.291479e-13 4.469300e-13 6.879460e-13
#> 181 3.114618e-13 3.114618e-13 1.989608e-13 1.676281e-13 2.553145e-13
#> 184 1.163337e-13 1.163337e-13 7.419447e-14 6.240111e-14 9.416102e-14
#> 187 4.311227e-14 4.311227e-14 2.745595e-14 2.306752e-14 3.452901e-14
#> 190 1.585835e-14 1.585835e-14 1.008482e-14 8.468113e-15 1.258532e-14
#> 193 5.792022e-15 5.792022e-15 3.678490e-15 3.087733e-15 4.559439e-15
#> 196 2.102784e-15 2.102784e-15 1.333808e-15 1.120288e-15 1.647024e-15
#> 199 7.581328e-16 7.581328e-16 4.802803e-16 4.033715e-16 5.898583e-16
#> 202 2.719772e-16 2.719772e-16 1.721117e-16 1.446846e-16 2.107993e-16
#> 205 9.682977e-17 9.682977e-17 6.116189e-17 5.139138e-17 7.458591e-17
#> 208 3.439363e-17 3.439363e-17 2.170379e-17 1.826343e-17 2.643879e-17
#> 211 1.224011e-17 1.224011e-17 7.731794e-18 6.562626e-18 9.459571e-18
#> 214 4.273721e-18 4.273721e-18 2.687890e-18 2.258553e-18 3.264639e-18
#> 217 1.518132e-18 1.518132e-18 9.552806e-19 8.107793e-19 1.196507e-18
#> 220 5.201108e-19 5.201108e-19 3.265333e-19 2.745215e-19 3.911213e-19
#> 223 1.765878e-19 1.765878e-19 1.111189e-19 9.401206e-20 1.303018e-19
#> 226 6.229201e-20 6.229201e-20 3.907427e-20 3.280460e-20 4.574067e-20
#> 229 1.819584e-20 1.819584e-20 1.134694e-20 9.804622e-21 1.393825e-20
#> 232 8.999024e-21 8.999024e-21 5.792113e-21 4.915031e-21 6.429686e-21
#> 235 2.472738e-21 2.472738e-21 1.534098e-21 1.385285e-21 2.028727e-21
#> 238 6.073337e-22 6.073337e-22 3.552335e-22 3.027173e-22 4.930150e-22
#> year
#> length 6 7 8 9 10
#> 1 3.778865e-58 4.976846e-58 8.168451e-58 4.178652e-58 7.021648e-58
#> 4 4.570504e-18 6.019452e-18 9.879670e-18 5.054044e-18 8.492622e-18
#> 7 3.344176e-04 4.404351e-04 7.228821e-04 3.697975e-04 6.213937e-04
#> 10 1.396033e+02 1.838605e+02 3.017685e+02 1.543727e+02 2.594020e+02
#> 13 1.670824e+04 2.200511e+04 3.611678e+04 1.847590e+04 3.104619e+04
#> 16 3.837328e+04 5.051054e+04 8.290015e+04 4.241393e+04 7.125991e+04
#> 19 1.010155e+04 9.776727e+03 1.575143e+04 8.757094e+03 1.334358e+04
#> 22 3.698330e+04 9.193096e+03 1.176650e+04 1.385329e+04 7.914836e+03
#> 25 7.750583e+04 1.937186e+04 2.393167e+04 2.864062e+04 1.602036e+04
#> 28 5.357093e+04 1.920728e+04 1.626203e+04 1.850998e+04 1.174126e+04
#> 31 3.829212e+04 3.197897e+04 1.104775e+04 9.214759e+03 1.044852e+04
#> 34 4.376117e+04 4.615932e+04 1.473165e+04 8.552123e+03 1.266030e+04
#> 37 3.790472e+04 4.305512e+04 2.130901e+04 7.360784e+03 1.002942e+04
#> 40 2.917915e+04 3.711519e+04 3.029624e+04 6.596664e+03 6.219111e+03
#> 43 2.352929e+04 3.364171e+04 3.544117e+04 8.217829e+03 4.335102e+03
#> 46 1.752684e+04 2.843408e+04 3.413781e+04 1.125957e+04 3.746873e+03
#> 49 1.161200e+04 2.214823e+04 2.994559e+04 1.375825e+04 4.058617e+03
#> 52 7.134870e+03 1.622838e+04 2.495883e+04 1.439149e+04 5.084315e+03
#> 55 4.106591e+03 1.104574e+04 1.955055e+04 1.329182e+04 6.238779e+03
#> 58 2.201720e+03 6.926308e+03 1.424397e+04 1.125366e+04 6.895997e+03
#> 61 1.118537e+03 4.031288e+03 9.628135e+03 8.894375e+03 6.782022e+03
#> 64 5.557839e+02 2.203232e+03 6.036574e+03 6.578699e+03 5.992623e+03
#> 67 2.755535e+02 1.144289e+03 3.520701e+03 4.543022e+03 4.812243e+03
#> 70 1.360909e+02 5.725762e+02 1.923133e+03 2.923686e+03 3.543466e+03
#> 73 6.610983e+01 2.797165e+02 9.931644e+02 1.753540e+03 2.409098e+03
#> 76 3.125569e+01 1.344631e+02 4.900081e+02 9.822934e+02 1.521102e+03
#> 79 1.433351e+01 6.363442e+01 2.333242e+02 5.161006e+02 8.967410e+02
#> 82 6.395097e+00 2.952486e+01 1.081331e+02 2.558374e+02 4.962076e+02
#> 85 2.795003e+00 1.337191e+01 4.904817e+01 1.205102e+02 2.591130e+02
#> 88 1.206271e+00 5.900750e+00 2.182801e+01 5.435854e+01 1.284076e+02
#> 91 5.176862e-01 2.540186e+00 9.532447e+00 2.366046e+01 6.074401e+01
#> 94 2.218965e-01 1.070604e+00 4.082273e+00 1.000724e+01 2.759199e+01
#> 97 9.511402e-02 4.438939e-01 1.713952e+00 4.136756e+00 1.210333e+01
#> 100 4.071739e-02 1.819392e-01 7.060794e-01 1.678792e+00 5.154185e+00
#> 103 1.736168e-02 7.401514e-02 2.859730e-01 6.710261e-01 2.140758e+00
#> 106 7.352794e-03 2.996588e-02 1.141912e-01 2.648124e-01 8.706274e-01
#> 109 3.086260e-03 1.208894e-02 4.509703e-02 1.033863e-01 3.478162e-01
#> 112 1.282476e-03 4.860080e-03 1.766777e-02 4.000769e-02 1.368535e-01
#> 115 5.275365e-04 1.945936e-03 6.883552e-03 1.537591e-02 5.314968e-02
#> 118 2.149438e-04 7.753180e-04 2.671726e-03 5.880810e-03 2.041374e-02
#> 121 8.684606e-05 3.071716e-04 1.034020e-03 2.242715e-03 7.767933e-03
#> 124 3.484067e-05 1.209591e-04 3.991570e-04 8.542171e-04 2.933617e-03
#> 127 1.389521e-05 4.733660e-05 1.536591e-04 3.253401e-04 1.101384e-03
#> 130 5.514664e-06 1.841251e-05 5.896488e-05 1.239827e-04 4.116955e-04
#> 133 2.179447e-06 7.120545e-06 2.254480e-05 4.728042e-05 1.534220e-04
#> 136 8.580321e-07 2.738738e-06 8.585039e-06 1.803622e-05 5.705821e-05
#> 139 3.365280e-07 1.048015e-06 3.255035e-06 6.878061e-06 2.119170e-05
#> 142 1.314720e-07 3.990905e-07 1.228606e-06 2.619909e-06 7.862812e-06
#> 145 5.114623e-08 1.512613e-07 4.616196e-07 9.959501e-07 2.914520e-06
#> 148 1.980631e-08 5.706280e-08 1.726491e-07 3.775495e-07 1.079039e-06
#> 151 7.632119e-09 2.142553e-08 6.427877e-08 1.426275e-07 3.988624e-07
#> 154 2.925446e-09 8.005984e-09 2.382344e-08 5.366369e-08 1.471352e-07
#> 157 1.115150e-09 2.976855e-09 8.790162e-09 2.010221e-08 5.413976e-08
#> 160 4.226440e-10 1.101236e-09 3.228739e-09 7.494296e-09 1.986119e-08
#> 163 1.592476e-10 4.052736e-10 1.180660e-09 2.780238e-09 7.261468e-09
#> 166 5.964988e-11 1.483653e-10 4.298215e-10 1.026250e-09 2.645222e-09
#> 169 2.221118e-11 5.401997e-11 1.557495e-10 3.768396e-10 9.596350e-10
#> 172 8.222951e-12 1.956643e-11 5.619547e-11 1.376933e-10 3.467994e-10
#> 175 3.026703e-12 7.048813e-12 2.017983e-11 5.004578e-11 1.247806e-10
#> 178 1.108108e-12 2.526838e-12 7.218403e-12 1.810920e-11 4.473228e-11
#> 181 4.034180e-13 9.008875e-13 2.568513e-12 6.515830e-12 1.595927e-11
#> 184 1.460725e-13 3.195076e-13 9.100488e-13 2.333191e-12 5.667243e-12
#> 187 5.268683e-14 1.129467e-13 3.214964e-13 8.330035e-13 2.010324e-12
#> 190 1.888584e-14 3.969112e-14 1.129599e-13 2.953751e-13 7.077229e-13
#> 193 6.735945e-15 1.384566e-14 3.943582e-14 1.042839e-13 2.477942e-13
#> 196 2.403726e-15 4.869266e-15 1.386801e-14 3.687453e-14 8.759738e-14
#> 199 8.478033e-16 1.673749e-15 4.774327e-15 1.287033e-14 3.024435e-14
#> 202 2.996169e-16 5.808842e-16 1.659516e-15 4.509828e-15 1.054921e-14
#> 205 1.042148e-16 1.971074e-16 5.599742e-16 1.545358e-15 3.610713e-15
#> 208 3.660559e-17 6.807019e-17 1.936146e-16 5.388044e-16 1.253925e-15
#> 211 1.316117e-17 2.457611e-17 6.945045e-17 1.970491e-16 4.534944e-16
#> 214 4.438410e-18 7.844608e-18 2.247528e-17 6.338900e-17 1.460876e-16
#> 217 1.591735e-18 2.900971e-18 8.382557e-18 2.289941e-17 5.634482e-17
#> 220 5.239402e-19 8.784279e-19 2.521636e-18 7.340472e-18 1.636040e-17
#> 223 1.647227e-19 2.768908e-19 7.781156e-19 2.322473e-18 5.261151e-18
#> 226 6.000165e-20 1.043058e-19 2.711198e-19 8.381206e-19 1.908801e-18
#> 229 1.656030e-20 2.192461e-20 7.028627e-20 2.108743e-19 4.861923e-19
#> 232 7.435693e-21 1.332447e-20 4.739783e-20 1.140897e-19 2.661768e-19
#> 235 2.177774e-21 2.315988e-21 8.115741e-21 3.253918e-20 5.790421e-20
#> 238 6.812935e-22 5.668799e-22 9.509950e-22 4.529462e-21 1.488673e-20
#> year
#> length 11 12 13 14 15
#> 1 4.577161e-59 2.041229e-59 1.414442e-59 1.406933e-59 1.935492e-59
#> 4 5.536036e-19 2.468849e-19 1.710755e-19 1.701673e-19 2.340960e-19
#> 7 4.050643e-05 1.806424e-05 1.251737e-05 1.245091e-05 1.712849e-05
#> 10 1.690949e+01 7.540950e+00 5.225398e+00 5.197656e+00 7.150321e+00
#> 13 2.023791e+03 9.025290e+02 6.253951e+02 6.220748e+02 8.557769e+02
#> 16 4.648830e+03 2.072082e+03 1.435718e+03 1.427985e+03 1.964289e+03
#> 19 1.331742e+03 4.535828e+02 3.013870e+02 2.856787e+02 3.723349e+02
#> 22 5.691157e+03 9.676516e+02 5.248205e+02 3.638529e+02 2.688544e+02
#> 25 1.189854e+04 2.105035e+03 1.100581e+03 7.566724e+02 5.479067e+02
#> 28 7.761002e+03 2.449535e+03 8.708964e+02 5.751292e+02 3.923843e+02
#> 31 4.113403e+03 4.843073e+03 1.007414e+03 5.800371e+02 3.256728e+02
#> 34 4.096258e+03 6.941356e+03 1.674042e+03 7.983744e+02 4.141166e+02
#> 37 3.842296e+03 5.749501e+03 2.645573e+03 9.171319e+02 4.357157e+02
#> 40 3.485173e+03 3.905335e+03 3.856779e+03 1.231235e+03 4.855411e+02
#> 43 3.104323e+03 3.052988e+03 4.295984e+03 1.893265e+03 6.136372e+02
#> 46 2.367499e+03 2.644331e+03 3.709422e+03 2.683482e+03 8.397868e+02
#> 49 1.650302e+03 2.244719e+03 2.894303e+03 3.148939e+03 1.200816e+03
#> 52 1.314772e+03 1.774678e+03 2.305587e+03 3.024548e+03 1.606167e+03
#> 55 1.383229e+03 1.332228e+03 1.872541e+03 2.502623e+03 1.855965e+03
#> 58 1.706137e+03 1.069431e+03 1.477930e+03 1.913522e+03 1.825643e+03
#> 61 2.069131e+03 1.038259e+03 1.131417e+03 1.418403e+03 1.565496e+03
#> 64 2.279970e+03 1.163122e+03 8.948406e+02 1.036832e+03 1.216589e+03
#> 67 2.248361e+03 1.312036e+03 7.892205e+02 7.596083e+02 8.900673e+02
#> 70 1.996512e+03 1.374977e+03 7.733186e+02 5.809594e+02 6.320467e+02
#> 73 1.612337e+03 1.306500e+03 7.785075e+02 4.845375e+02 4.478217e+02
#> 76 1.194589e+03 1.124848e+03 7.511330e+02 4.385026e+02 3.264506e+02
#> 79 8.177939e+02 8.832250e+02 6.723371e+02 4.078428e+02 2.509662e+02
#> 82 5.204392e+02 6.374594e+02 5.534551e+02 3.687547e+02 2.032211e+02
#> 85 3.096335e+02 4.260800e+02 4.196257e+02 3.139476e+02 1.683566e+02
#> 88 1.731718e+02 2.655419e+02 2.945276e+02 2.486472e+02 1.375917e+02
#> 91 9.154751e+01 1.552527e+02 1.925075e+02 1.828939e+02 1.080194e+02
#> 94 4.599614e+01 8.563302e+01 1.178566e+02 1.253031e+02 8.033693e+01
#> 97 2.208053e+01 4.479060e+01 6.795122e+01 8.032597e+01 5.631975e+01
#> 100 1.017935e+01 2.232392e+01 3.707960e+01 4.842298e+01 3.721379e+01
#> 103 4.528199e+00 1.065002e+01 1.923735e+01 2.758551e+01 2.322937e+01
#> 106 1.952229e+00 4.883797e+00 9.529046e+00 1.491963e+01 1.374302e+01
#> 109 8.189483e-01 2.161232e+00 4.524135e+00 7.694002e+00 7.733780e+00
#> 112 3.354557e-01 9.263442e-01 2.066213e+00 3.798301e+00 4.154449e+00
#> 115 1.345929e-01 3.858752e-01 9.108291e-01 1.801601e+00 2.137606e+00
#> 118 5.304173e-02 1.567080e-01 3.887734e-01 8.238052e-01 1.056881e+00
#> 121 2.058236e-02 6.222551e-02 1.611552e-01 3.642810e-01 5.036238e-01
#> 124 7.881873e-03 2.422406e-02 6.505641e-02 1.562213e-01 2.319392e-01
#> 127 2.984816e-03 9.268456e-03 2.564298e-02 6.514570e-02 1.035024e-01
#> 130 1.119934e-03 3.493427e-03 9.893310e-03 2.648112e-02 4.486169e-02
#> 133 4.170827e-04 1.299895e-03 3.744582e-03 1.051659e-02 1.892859e-02
#> 136 1.544194e-04 4.784503e-04 1.393419e-03 4.088944e-03 7.790761e-03
#> 139 5.691637e-05 1.745127e-04 5.107896e-04 1.559505e-03 3.134009e-03
#> 142 2.090871e-05 6.318258e-05 1.847946e-04 5.844953e-04 1.234420e-03
#> 145 7.662172e-06 2.273990e-05 6.609518e-05 2.156332e-04 4.768692e-04
#> 148 2.802626e-06 8.146243e-06 2.340851e-05 7.842582e-05 1.809640e-04
#> 151 1.023532e-06 2.907843e-06 8.221207e-06 2.815983e-05 6.755849e-05
#> 154 3.732397e-07 1.035148e-06 2.867042e-06 9.995436e-06 2.484616e-05
#> 157 1.358846e-07 3.677315e-07 9.940142e-07 3.511599e-06 9.013395e-06
#> 160 4.937751e-08 1.304202e-07 3.429882e-07 1.222447e-06 3.229160e-06
#> 163 1.790257e-08 4.619048e-08 1.178976e-07 4.221156e-07 1.143803e-06
#> 166 6.474172e-09 1.633806e-08 4.040420e-08 1.447194e-07 4.009876e-07
#> 169 2.334084e-09 5.770969e-09 1.381460e-08 4.930620e-08 1.392697e-07
#> 172 8.388824e-10 2.035663e-09 4.715222e-09 1.670745e-08 4.796542e-08
#> 175 3.003292e-10 7.167172e-10 1.607141e-09 5.634678e-09 1.639534e-08
#> 178 1.072079e-10 2.520429e-10 5.474045e-10 1.892749e-09 5.566502e-09
#> 181 3.807747e-11 8.838931e-11 1.862765e-10 6.336444e-10 1.878657e-09
#> 184 1.347012e-11 3.089488e-11 6.325592e-11 2.113850e-10 6.306100e-10
#> 187 4.757654e-12 1.082262e-11 2.156578e-11 7.045662e-11 2.107414e-10
#> 190 1.670397e-12 3.759413e-12 7.331225e-12 2.344250e-11 7.016656e-11
#> 193 5.812939e-13 1.299090e-12 2.452057e-12 7.715792e-12 2.322613e-11
#> 196 2.056681e-13 4.580266e-13 8.657842e-13 2.623004e-12 7.729119e-12
#> 199 7.029042e-14 1.553909e-13 2.805604e-13 8.433566e-13 2.528170e-12
#> 202 2.443860e-14 5.398757e-14 9.635089e-14 2.833276e-13 8.404983e-13
#> 205 8.280203e-15 1.786490e-14 3.078887e-14 8.491558e-14 2.581893e-13
#> 208 2.862384e-15 6.186730e-15 1.060658e-14 2.863361e-14 8.634624e-14
#> 211 1.016900e-15 2.271186e-15 4.244148e-15 1.145687e-14 3.741961e-14
#> 214 3.358127e-16 7.149538e-16 1.138747e-15 2.894012e-15 8.168376e-15
#> 217 1.225318e-16 2.552578e-16 4.567077e-16 1.352585e-15 3.649142e-15
#> 220 3.784991e-17 8.160734e-17 1.238266e-16 2.691549e-16 7.500018e-16
#> 223 1.113613e-17 2.535139e-17 3.999188e-17 7.331233e-17 1.636698e-16
#> 226 3.954168e-18 9.653237e-18 1.412017e-17 2.574727e-17 6.299877e-17
#> 229 1.012851e-18 2.006016e-18 3.673161e-18 6.736496e-18 1.316361e-17
#> 232 6.139485e-19 1.091641e-18 2.370716e-18 4.049538e-18 6.465671e-18
#> 235 1.308955e-19 2.722682e-19 3.507011e-19 1.009378e-18 1.846943e-18
#> 238 1.958742e-20 5.283403e-20 8.586324e-20 9.545736e-20 4.291501e-19
#> year
#> length 16 17 18 19 20
#> 1 2.137874e-59 1.927459e-59 3.178781e-59 6.405669e-59 5.344099e-59
#> 4 2.585741e-19 2.331245e-19 3.844708e-19 7.747601e-19 6.463642e-19
#> 7 1.891951e-05 1.705740e-05 2.813121e-05 5.668815e-05 4.729359e-05
#> 10 7.897988e+00 7.120646e+00 1.174343e+01 2.366458e+01 1.974280e+01
#> 13 9.452605e+02 8.522253e+02 1.405497e+03 2.832264e+03 2.362892e+03
#> 16 2.169816e+03 1.956344e+03 3.226150e+03 6.500754e+03 5.423969e+03
#> 19 4.280851e+02 3.969413e+02 6.207528e+02 1.204082e+03 1.073230e+03
#> 22 4.853279e+02 5.607602e+02 5.451364e+02 5.737860e+02 1.248241e+03
#> 25 9.973085e+02 1.161652e+03 1.118083e+03 1.141547e+03 2.562771e+03
#> 28 6.524549e+02 8.041244e+02 7.960812e+02 7.627211e+02 1.633110e+03
#> 31 3.521892e+02 5.775318e+02 6.425720e+02 4.640023e+02 7.350925e+02
#> 34 3.534268e+02 6.522544e+02 7.757695e+02 4.946069e+02 6.209090e+02
#> 37 3.285499e+02 5.339990e+02 6.938340e+02 4.413524e+02 4.973466e+02
#> 40 3.066473e+02 3.700334e+02 5.648702e+02 3.716176e+02 3.512460e+02
#> 43 3.217217e+02 2.942175e+02 4.812122e+02 3.407341e+02 2.738493e+02
#> 46 3.530291e+02 2.620421e+02 3.821533e+02 3.042143e+02 2.196785e+02
#> 49 4.193931e+02 2.506333e+02 2.876555e+02 2.571415e+02 1.726396e+02
#> 52 5.486049e+02 2.658354e+02 2.278065e+02 2.076119e+02 1.355052e+02
#> 55 7.403891e+02 3.212163e+02 2.038574e+02 1.620476e+02 1.063367e+02
#> 58 9.428461e+02 4.285157e+02 2.148944e+02 1.289759e+02 8.388792e+01
#> 61 1.072727e+03 5.750138e+02 2.642466e+02 1.135623e+02 6.833563e+01
#> 64 1.076966e+03 7.150151e+02 3.476387e+02 1.161881e+02 6.003401e+01
#> 67 9.659651e+02 7.939839e+02 4.434405e+02 1.336989e+02 5.925828e+01
#> 70 7.912685e+02 7.836732e+02 5.177284e+02 1.589719e+02 6.547875e+01
#> 73 6.060648e+02 6.950876e+02 5.423288e+02 1.815812e+02 7.635717e+01
#> 76 4.441787e+02 5.637080e+02 5.100723e+02 1.916877e+02 8.769452e+01
#> 79 3.189408e+02 4.264191e+02 4.352153e+02 1.846361e+02 9.486267e+01
#> 82 2.296870e+02 3.073892e+02 3.419319e+02 1.625279e+02 9.484345e+01
#> 85 1.686563e+02 2.158606e+02 2.517103e+02 1.319663e+02 8.739584e+01
#> 88 1.264432e+02 1.506166e+02 1.769457e+02 1.002174e+02 7.466427e+01
#> 91 9.544348e+01 1.057245e+02 1.210726e+02 7.239016e+01 5.976782e+01
#> 94 7.107396e+01 7.474301e+01 8.195223e+01 5.064302e+01 4.541228e+01
#> 97 5.130091e+01 5.274591e+01 5.540727e+01 3.487984e+01 3.319327e+01
#> 100 3.548806e+01 3.666482e+01 3.745385e+01 2.391048e+01 2.361609e+01
#> 103 2.339887e+01 2.479956e+01 2.515773e+01 1.636210e+01 1.648762e+01
#> 106 1.468245e+01 1.618332e+01 1.663431e+01 1.112833e+01 1.133223e+01
#> 109 8.774889e+00 1.014107e+01 1.073005e+01 7.460168e+00 7.659129e+00
#> 112 5.005009e+00 6.091619e+00 6.707978e+00 4.887156e+00 5.070651e+00
#> 115 2.731595e+00 3.508252e+00 4.048269e+00 3.107668e+00 3.272995e+00
#> 118 1.430513e+00 1.939672e+00 2.354459e+00 1.910062e+00 2.051516e+00
#> 121 7.208588e-01 1.031526e+00 1.319446e+00 1.132424e+00 1.245232e+00
#> 124 3.504857e-01 5.288147e-01 7.130811e-01 6.473380e-01 7.308761e-01
#> 127 1.648433e-01 2.619355e-01 3.721819e-01 3.570133e-01 4.146736e-01
#> 130 7.518031e-02 1.256434e-01 1.879309e-01 1.902032e-01 2.275315e-01
#> 133 3.332356e-02 5.849142e-02 9.197812e-02 9.804710e-02 1.208616e-01
#> 136 1.438561e-02 2.648235e-02 4.371642e-02 4.899053e-02 6.223461e-02
#> 139 6.060197e-03 1.168383e-02 2.021596e-02 2.377120e-02 3.111269e-02
#> 142 2.495851e-03 5.032420e-03 9.112143e-03 1.122137e-02 1.512540e-02
#> 145 1.006608e-03 2.119712e-03 4.010257e-03 5.162588e-03 7.162230e-03
#> 148 3.981962e-04 8.745416e-04 1.726066e-03 2.318743e-03 3.308712e-03
#> 151 1.547271e-04 3.539445e-04 7.276823e-04 1.018357e-03 1.493528e-03
#> 154 5.913729e-05 1.407162e-04 3.009191e-04 4.379939e-04 6.597159e-04
#> 157 2.226048e-05 5.502615e-05 1.222266e-04 1.847463e-04 2.855634e-04
#> 160 8.262283e-06 2.119011e-05 4.882429e-05 7.652485e-05 1.212913e-04
#> 163 3.027176e-06 8.044962e-06 1.920308e-05 3.116671e-05 5.061554e-05
#> 166 1.095958e-06 3.014367e-06 7.444709e-06 1.249535e-05 2.077678e-05
#> 169 3.924510e-07 1.115767e-06 2.847816e-06 4.936841e-06 8.398354e-06
#> 172 1.391236e-07 4.083678e-07 1.075920e-06 1.924139e-06 3.346441e-06
#> 175 4.886543e-08 1.479107e-07 4.018290e-07 7.404999e-07 1.315735e-06
#> 178 1.701873e-08 5.305947e-08 1.484772e-07 2.816451e-07 5.109127e-07
#> 181 5.881561e-09 1.886527e-08 5.432201e-08 1.059573e-07 1.961054e-07
#> 184 2.018285e-09 6.652726e-09 1.969278e-08 3.945931e-08 7.446379e-08
#> 187 6.881678e-10 2.328413e-09 7.078740e-09 1.455719e-08 2.799246e-08
#> 190 2.332931e-10 8.092911e-10 2.524619e-09 5.323679e-09 1.042516e-08
#> 193 7.864204e-11 2.794903e-10 8.939003e-10 1.931197e-09 3.849071e-09
#> 196 2.642109e-11 9.597280e-11 3.144088e-10 6.953465e-10 1.409748e-09
#> 199 8.817089e-12 3.277242e-11 1.099074e-10 2.486285e-10 5.124729e-10
#> 202 2.940674e-12 1.114178e-11 3.820381e-11 8.833557e-11 1.850152e-10
#> 205 9.564850e-13 3.751152e-12 1.320058e-11 3.119686e-11 6.636230e-11
#> 208 3.180449e-13 1.265707e-12 4.545312e-12 1.095983e-11 2.366458e-11
#> 211 1.155107e-13 4.379076e-13 1.564703e-12 3.831177e-12 8.393226e-12
#> 214 3.288300e-14 1.428767e-13 5.340279e-13 1.335043e-12 2.963493e-12
#> 217 1.517367e-14 5.163150e-14 1.842249e-13 4.616026e-13 1.038622e-12
#> 220 2.884403e-15 1.498074e-14 6.056657e-14 1.604060e-13 3.653506e-13
#> 223 6.845648e-16 3.511887e-15 1.883119e-14 5.405152e-14 1.274138e-13
#> 226 2.868120e-16 1.344205e-15 7.351070e-15 1.852805e-14 4.354497e-14
#> 229 3.382913e-17 2.239933e-16 1.191767e-15 5.029501e-15 1.298573e-14
#> 232 2.305014e-17 1.850018e-16 8.420319e-16 3.504994e-15 7.024898e-15
#> 235 2.891662e-18 1.523247e-17 1.403512e-16 5.078718e-16 2.165423e-15
#> 238 7.136664e-19 1.218079e-18 9.861818e-18 7.268053e-17 2.328553e-16
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604db2eb668>
#>
Z_fun <- sim_Z(log_mean = log(0.5), log_sd = 0.1, phi_age = 0.9, phi_year = 0.9, plot = TRUE)
Z_fun(years = 1:100, ages = 1:20)
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.2805222 0.3347343 0.3691940 0.4659994 0.3564141 0.4791927 0.6783722
#> 2 0.2905016 0.3425453 0.4222769 0.5821591 0.4222365 0.5013222 0.7939899
#> 3 0.4012315 0.4306191 0.4859236 0.6237141 0.4859377 0.5795295 0.8968305
#> 4 0.4605145 0.4767842 0.4990763 0.6968863 0.4907328 0.5727680 1.0185181
#> 5 0.2852599 0.2945813 0.2882888 0.4261963 0.3724288 0.3644718 0.5901022
#> 6 0.2051479 0.2400937 0.2837983 0.3429554 0.3107663 0.3272714 0.4394638
#> 7 0.2169102 0.2374602 0.2625311 0.3588917 0.3772231 0.3475030 0.4731450
#> 8 0.2514833 0.2872960 0.2894496 0.3357693 0.4248733 0.4348808 0.5897809
#> 9 0.2514627 0.2970536 0.2870618 0.3048796 0.3610538 0.3463094 0.4161522
#> 10 0.2490909 0.2541010 0.2791915 0.3134653 0.3808495 0.3493049 0.4492279
#> 11 0.1936241 0.2099906 0.2198871 0.2392772 0.2434336 0.2439423 0.3346713
#> 12 0.2043061 0.2378367 0.2738531 0.3493900 0.3547848 0.3206082 0.4372866
#> 13 0.2539081 0.2762704 0.3333235 0.4476855 0.4839078 0.4062036 0.5824763
#> 14 0.2856192 0.3111993 0.3766254 0.5790244 0.6163583 0.4676535 0.6091615
#> 15 0.3669857 0.4117416 0.5341608 0.8348206 0.8363457 0.5453215 0.6524692
#> 16 0.2919055 0.3444530 0.4819952 0.6790474 0.6587868 0.4646225 0.6148922
#> 17 0.2883025 0.3368628 0.5356807 0.7567481 0.7456205 0.4864127 0.6558484
#> 18 0.3349260 0.3003645 0.4247787 0.7092884 0.6662098 0.4499699 0.6280432
#> 19 0.4658066 0.3378540 0.4164876 0.6449805 0.6768895 0.5774232 0.8329735
#> 20 0.5151935 0.4569830 0.5747861 0.9989060 1.0222218 0.8899632 1.0611742
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.6150762 0.6199978 0.5027233 0.4760897 0.4169773 0.4176526 0.4586927
#> 2 0.7114551 0.8546835 0.7618607 0.6686010 0.6717461 0.6080917 0.6015762
#> 3 0.7125036 0.7763025 0.7479698 0.7350820 0.6157649 0.5089446 0.6922186
#> 4 0.9204604 0.8628134 0.7494533 0.7706588 0.6688957 0.6319264 0.9661436
#> 5 0.4971341 0.5064650 0.4706973 0.4448950 0.4134954 0.4836599 0.7389588
#> 6 0.3945270 0.4620933 0.4680356 0.3787580 0.3503587 0.3984552 0.6161703
#> 7 0.4451587 0.5244548 0.5942467 0.5299169 0.4686821 0.4713296 0.6706236
#> 8 0.5512868 0.5058535 0.4776190 0.4958203 0.4905621 0.5305977 0.7237364
#> 9 0.4205394 0.3868969 0.3368437 0.3101673 0.3257003 0.3703903 0.5253523
#> 10 0.5042886 0.4365747 0.3595729 0.3667894 0.3404404 0.3972045 0.4817208
#> 11 0.4076330 0.3668543 0.3241831 0.3159997 0.3012949 0.3851403 0.4719598
#> 12 0.5554265 0.5247450 0.4878689 0.4299758 0.4369717 0.4642974 0.5053223
#> 13 0.6722737 0.7510636 0.7490566 0.6251283 0.6019801 0.5505550 0.5169384
#> 14 0.7945360 0.8724322 1.0197960 0.8584729 0.9248503 0.7006341 0.6338116
#> 15 0.8515585 0.8668308 1.0986841 0.9487341 1.1352588 0.9563250 1.0578665
#> 16 0.7288450 0.7900526 1.1437394 1.0697117 1.2267396 0.9802296 1.0532100
#> 17 0.8901996 0.8026837 1.0894927 1.0331113 1.1945643 0.9318062 1.1548416
#> 18 0.7189212 0.6018161 0.8354160 0.8213805 0.9579368 0.7708431 1.0833293
#> 19 1.0538232 1.0050030 1.0997249 0.9894614 1.3254754 1.0822127 1.4494712
#> 20 1.1282650 0.9929445 0.9196109 0.8337593 1.1740313 0.7884261 0.9949213
#> year
#> age 15 16 17 18 19 20 21
#> 1 0.3674901 0.2914264 0.2161348 0.2903257 0.3071546 0.2645403 0.3358517
#> 2 0.4428956 0.3790781 0.3188193 0.4592415 0.5031852 0.3893134 0.4695171
#> 3 0.4973974 0.4036044 0.3462881 0.4241537 0.5458437 0.4617608 0.4867115
#> 4 0.6857797 0.5230584 0.4082339 0.4523874 0.6423160 0.6053958 0.6477360
#> 5 0.6339794 0.4817433 0.3944793 0.3644940 0.5346919 0.6038834 0.6604231
#> 6 0.6214910 0.5029434 0.4038570 0.4269435 0.5819720 0.6361345 0.7122553
#> 7 0.7037648 0.6084822 0.4180937 0.4452779 0.5691912 0.6958245 0.7051604
#> 8 0.7274576 0.7494745 0.5324114 0.6150445 0.6564724 0.9217993 0.8549171
#> 9 0.5170334 0.5760114 0.4637096 0.5115665 0.5322871 0.6418398 0.7170876
#> 10 0.4833509 0.5087501 0.3526647 0.4177376 0.4216485 0.5221598 0.5965736
#> 11 0.4891503 0.5317660 0.3542131 0.4344599 0.4518356 0.5054792 0.5518259
#> 12 0.5009533 0.5083986 0.3313915 0.3961788 0.4131267 0.4940544 0.4537591
#> 13 0.5468901 0.4856486 0.3619641 0.4690133 0.4257347 0.4256615 0.3844083
#> 14 0.5700599 0.5363094 0.4220059 0.6133076 0.5039436 0.4280005 0.4341754
#> 15 0.8851954 0.6477412 0.4705356 0.5925241 0.6677002 0.5836734 0.6174551
#> 16 0.7926917 0.5820240 0.4602056 0.5046863 0.6082718 0.4931818 0.5222259
#> 17 0.6879107 0.5033990 0.4347138 0.4599623 0.6149385 0.4915454 0.4655646
#> 18 0.6912665 0.4783110 0.4288587 0.4375465 0.5823401 0.4824799 0.4131331
#> 19 0.8593200 0.5287839 0.3861985 0.3921573 0.4904924 0.3719598 0.3528922
#> 20 0.6866191 0.4100722 0.2956252 0.3620537 0.4843018 0.4026179 0.3943291
#> year
#> age 22 23 24 25 26 27 28
#> 1 0.5046413 0.5498511 0.6240994 0.4354820 0.4336349 0.5344807 0.6405717
#> 2 0.6239011 0.6876465 0.7474648 0.5961321 0.5471075 0.6706143 0.7193900
#> 3 0.6019611 0.5988651 0.6898644 0.6016651 0.6860619 0.7706783 0.8657334
#> 4 0.8468463 0.8124311 0.8952665 0.6750682 0.7360776 0.8285371 0.8993763
#> 5 0.8234358 0.7504804 0.9576793 0.7528820 0.9639827 1.1103577 1.1136608
#> 6 0.8285182 0.8901488 1.0483440 0.9564996 1.2378682 1.3854020 1.1611681
#> 7 0.8023129 0.8268501 0.8949738 0.6637798 0.8371438 0.8967554 0.8070348
#> 8 0.9226159 0.9069077 0.8468901 0.7108111 0.9014719 1.1595767 1.1239896
#> 9 0.7966898 0.8874327 0.8399975 0.8034255 0.9416309 1.2939850 1.2862528
#> 10 0.7413537 0.8794353 0.8727618 0.7763022 0.8554857 1.0883478 0.9742338
#> 11 0.5960261 0.7273874 0.6379170 0.5994510 0.5486332 0.6951231 0.6155689
#> 12 0.4996627 0.6648848 0.5580203 0.6149083 0.5896691 0.6715745 0.6705476
#> 13 0.4208790 0.6275223 0.5384194 0.7685963 0.7794786 0.7849117 0.7712983
#> 14 0.4033517 0.5222300 0.4535706 0.5883940 0.6860764 0.6025558 0.6045583
#> 15 0.5425471 0.6458971 0.5156921 0.6376009 0.8474515 0.7914670 0.6966578
#> 16 0.4529578 0.5720368 0.5403768 0.5804368 0.5990720 0.6770613 0.7970330
#> 17 0.3992450 0.5883347 0.5497245 0.4752535 0.4608017 0.4669596 0.6629884
#> 18 0.4064667 0.5371532 0.5876797 0.5588949 0.5499093 0.5661982 0.7138763
#> 19 0.3358771 0.5736356 0.5977367 0.6120892 0.5499648 0.5997409 0.8320175
#> 20 0.3369324 0.4799040 0.5534997 0.5951800 0.4890593 0.5576575 0.7749434
#> year
#> age 29 30 31 32 33 34 35
#> 1 0.6624668 0.8166123 0.6489105 0.9026191 0.5359880 0.4658600 0.4202375
#> 2 0.6989854 0.8790682 0.8467088 0.7957087 0.5058379 0.4065463 0.3558800
#> 3 0.8325359 1.1343795 1.0899214 0.9344452 0.5691244 0.4145555 0.3691093
#> 4 0.8026136 1.1288780 1.1661551 0.8722133 0.4567997 0.3303037 0.2740620
#> 5 1.1662192 1.2415355 1.2429337 1.0647702 0.5803691 0.4193333 0.2858060
#> 6 1.0342891 1.0909072 1.2616212 1.2149943 0.6695345 0.4951638 0.3486381
#> 7 0.8044214 1.0870626 1.3910848 1.4780906 0.8502872 0.6363313 0.4319969
#> 8 1.1598701 1.9368645 2.2575989 2.1931772 1.5410118 1.1623417 0.8110065
#> 9 1.1487773 1.9521783 2.5210458 2.7817713 1.7936795 1.1728270 0.8278432
#> 10 0.8648231 1.3281532 2.1211515 2.1394594 1.5797815 1.2489425 0.8165251
#> 11 0.5251781 0.8526672 1.4196618 1.4008790 1.0308610 0.9134927 0.5700121
#> 12 0.5722147 0.9382330 1.4379591 1.4214725 1.2097295 1.1156993 0.7751270
#> 13 0.6294183 1.0693953 1.7107084 1.5848085 1.2774709 1.1668134 0.9187756
#> 14 0.5057613 0.8636112 1.1878736 1.0710919 0.8195646 0.6757469 0.5375085
#> 15 0.5532602 0.7585744 0.8577358 0.8016491 0.6683979 0.6104997 0.5189396
#> 16 0.6855565 0.7758505 0.8770291 0.7752225 0.5453449 0.5589689 0.4467501
#> 17 0.5915355 0.6189569 0.8198464 0.7582558 0.5995548 0.6772774 0.6188135
#> 18 0.6528008 0.6678259 0.7362622 0.7794523 0.6059798 0.7543969 0.6010008
#> 19 0.8375863 0.8825799 0.8515181 0.8344418 0.8255375 0.8394270 0.6931255
#> 20 0.7782107 0.7771305 0.8454453 0.8591861 0.8874476 0.8747304 0.6897001
#> year
#> age 36 37 38 39 40 41 42
#> 1 0.2997218 0.2067104 0.2103706 0.3065496 0.2842441 0.2280166 0.1856674
#> 2 0.2706416 0.1892975 0.1807711 0.2925558 0.3195046 0.3035439 0.2824895
#> 3 0.2723319 0.2478527 0.2565720 0.3423475 0.4149595 0.4914971 0.3940234
#> 4 0.2010359 0.2147735 0.2529741 0.3904917 0.5177877 0.5612763 0.4143900
#> 5 0.2083491 0.2132712 0.2480843 0.3634273 0.4343220 0.5462971 0.4057629
#> 6 0.2581469 0.2495817 0.2778019 0.4397527 0.4904184 0.6222196 0.4227211
#> 7 0.3429985 0.3532493 0.3903533 0.6503284 0.6155030 0.7341068 0.4751979
#> 8 0.6118380 0.5903115 0.6974811 1.1308553 1.0246822 1.1309519 0.8121762
#> 9 0.6325378 0.5564981 0.6973079 1.0601581 0.8304096 0.8785560 0.6242910
#> 10 0.6409385 0.4135987 0.5090693 0.7020507 0.6557123 0.7498494 0.5224818
#> 11 0.4433534 0.3207164 0.4765666 0.7181711 0.6743528 0.8435949 0.5965668
#> 12 0.5899466 0.4854885 0.6773734 1.1361364 1.1223933 1.3966315 1.0231063
#> 13 0.6959520 0.5367637 0.6436356 1.1011776 1.1026185 1.2648675 0.9032481
#> 14 0.4362024 0.3872101 0.5718419 1.0128832 1.1872418 1.2482827 0.9592933
#> 15 0.4361342 0.3710341 0.4895319 0.7183184 0.8330950 1.0491537 0.8450868
#> 16 0.4460266 0.4062856 0.5160522 0.7544981 0.8339407 1.1776224 0.9156347
#> 17 0.6849876 0.7306455 0.8795453 1.1301788 1.1559432 1.4920498 1.0309816
#> 18 0.6629876 0.5799923 0.7467109 0.8600799 0.9908750 1.2730719 0.9534082
#> 19 0.7535682 0.6246047 0.8101421 0.9364443 0.9981845 1.1821824 0.8531709
#> 20 0.7950979 0.6514404 0.6877549 0.6883314 0.7352213 0.7480825 0.6072858
#> year
#> age 43 44 45 46 47 48 49
#> 1 0.3157800 0.2953579 0.2458112 0.1458949 0.1306667 0.1103568 0.1310768
#> 2 0.4298498 0.5011396 0.3955987 0.2214300 0.1969614 0.1573409 0.2215977
#> 3 0.6333664 0.7344555 0.5192125 0.3687702 0.2736855 0.1627788 0.2306514
#> 4 0.7404822 1.0363913 0.7807280 0.4861208 0.4085973 0.2803620 0.3164225
#> 5 0.6947663 1.0957733 0.9559237 0.5797966 0.4780588 0.3338239 0.3646690
#> 6 0.7691372 1.2155624 1.1798502 0.7348489 0.6090876 0.4353979 0.4849862
#> 7 0.8020884 1.0871728 1.1068335 0.6934689 0.5509331 0.3487145 0.4568377
#> 8 1.2413451 1.6129041 1.6557320 1.0831812 0.8164017 0.5360151 0.6342306
#> 9 1.0133680 1.1332288 1.3049019 0.9025591 0.6852459 0.4937283 0.5927173
#> 10 0.9879930 0.9170323 1.0159066 0.8405578 0.6140305 0.4115637 0.3961517
#> 11 0.9043943 0.8535948 0.9629605 0.8121051 0.6561369 0.4611446 0.4299141
#> 12 1.4482257 1.2032619 1.1600125 1.0001202 0.7824496 0.5283000 0.4924053
#> 13 1.3368797 1.1984998 1.2394667 1.0833022 0.7820313 0.5573739 0.4540851
#> 14 1.4421838 1.4724507 1.2946041 1.0694187 0.7379655 0.4817934 0.4529333
#> 15 1.3777780 1.2728303 1.1593108 0.9516581 0.8397937 0.5413125 0.4842239
#> 16 1.5469554 1.1416391 0.9844251 0.7915829 0.8035064 0.4461846 0.3976409
#> 17 1.5123017 1.1733085 1.0312780 1.0035854 1.1409364 0.6244391 0.6209991
#> 18 1.3738659 1.0438691 0.7663511 0.8201735 0.9872321 0.5484839 0.6525378
#> 19 1.3000664 1.0938500 0.9106624 0.8940575 1.0114106 0.5924301 0.6680021
#> 20 0.9835313 0.8746909 0.7439231 0.7940445 0.8669552 0.5726139 0.6380325
#> year
#> age 50 51 52 53 54 55 56
#> 1 0.1226516 0.1150462 0.07581984 0.1085316 0.1184273 0.1420807 0.1622082
#> 2 0.1898016 0.1595724 0.10980131 0.1417390 0.1515544 0.1741822 0.1978297
#> 3 0.1791926 0.1558060 0.11984019 0.1465271 0.1550444 0.1490507 0.1641172
#> 4 0.2464493 0.2248467 0.17677371 0.2063044 0.2051309 0.1939817 0.2347475
#> 5 0.2910649 0.2877429 0.23306569 0.2928778 0.2826872 0.2884244 0.3777944
#> 6 0.3925374 0.3702758 0.32403023 0.3896843 0.3512693 0.2965164 0.3949187
#> 7 0.3588118 0.2911906 0.29106193 0.3962820 0.3718970 0.3383222 0.4529686
#> 8 0.5481344 0.5047578 0.48964813 0.5365963 0.4695631 0.4553696 0.6167495
#> 9 0.4353706 0.4050248 0.40287955 0.3963503 0.3626945 0.3721606 0.4425500
#> 10 0.3580697 0.3315674 0.31330570 0.3604332 0.3258966 0.3439150 0.4049734
#> 11 0.3109820 0.2946373 0.33180308 0.4627179 0.4318462 0.4522749 0.5311336
#> 12 0.4452270 0.4210389 0.47083101 0.6190410 0.5720248 0.5355977 0.5490228
#> 13 0.4991056 0.5513105 0.58780553 0.7140958 0.8063605 0.8083250 0.8645513
#> 14 0.5762853 0.7136440 0.84821801 1.0412057 1.0607949 1.1126104 1.1889387
#> 15 0.6848150 0.9035603 0.89722771 0.9576362 1.2244869 1.2736505 1.3239221
#> 16 0.4580131 0.6413535 0.73420724 0.8141093 1.0473111 1.1550018 1.2480427
#> 17 0.6579787 0.8819400 0.80375090 1.0083866 1.2510615 1.4365816 1.3207827
#> 18 0.5851171 0.8327969 0.90306511 0.9798022 1.0062681 1.1843191 1.0462422
#> 19 0.5848606 0.8913609 1.05850335 1.1204282 1.1807960 1.3477814 1.0387924
#> 20 0.5598955 0.7884830 0.81008712 0.9547415 1.0165832 1.0520750 0.7554991
#> year
#> age 57 58 59 60 61 62 63
#> 1 0.1499576 0.1583357 0.1899884 0.15443157 0.1742259 0.2086720 0.2407697
#> 2 0.1974269 0.2148848 0.2046720 0.14164217 0.1623489 0.2193087 0.2402166
#> 3 0.1454567 0.1474340 0.1342247 0.09304595 0.1147415 0.1440166 0.1602089
#> 4 0.2118194 0.1762445 0.1495891 0.11933232 0.1447876 0.2036610 0.1969333
#> 5 0.3985086 0.2794840 0.2276523 0.18040793 0.2593716 0.3849061 0.3497740
#> 6 0.3937157 0.2434280 0.1946159 0.16162711 0.2285123 0.3286431 0.2663900
#> 7 0.4683698 0.3051626 0.2664950 0.22691882 0.2915081 0.3479508 0.3647712
#> 8 0.5665130 0.2968702 0.3021317 0.25815833 0.2811352 0.3225238 0.3099387
#> 9 0.4383613 0.3054014 0.2828809 0.25380410 0.2087754 0.2390299 0.2245673
#> 10 0.3869887 0.2717513 0.3147743 0.29500238 0.2204533 0.2173924 0.2231522
#> 11 0.5185175 0.3117318 0.3601832 0.41218646 0.2481051 0.2424413 0.2661808
#> 12 0.5779162 0.3670926 0.3875951 0.52662569 0.2933655 0.3001667 0.3185414
#> 13 0.8778469 0.5322906 0.5236178 0.70702525 0.4364441 0.4098062 0.3958899
#> 14 1.1472429 0.6587169 0.7260895 1.00924500 0.6310041 0.5544315 0.5087298
#> 15 1.3328876 0.7767113 1.0200008 1.20355415 0.7846581 0.6903195 0.6635129
#> 16 1.3599160 0.9133766 1.2353631 1.42979465 0.7384525 0.6313087 0.5835012
#> 17 1.4342506 0.8787270 1.2186609 1.29721878 0.6395626 0.5178025 0.4739743
#> 18 1.1418255 0.7076412 1.0716694 1.26721808 0.7049164 0.5489053 0.4614559
#> 19 1.1271043 0.6813338 1.0477044 1.05542746 0.6661369 0.5042150 0.4225308
#> 20 0.7675894 0.4213929 0.7051166 0.65118419 0.4322106 0.2789162 0.2353668
#> year
#> age 64 65 66 67 68 69 70
#> 1 0.1752458 0.1437645 0.1916828 0.1837905 0.2126101 0.2830129 0.3336935
#> 2 0.1719290 0.1659138 0.2138594 0.1998417 0.2110282 0.2385502 0.2503245
#> 3 0.1599409 0.1756212 0.2383043 0.2421335 0.2537627 0.3737760 0.4069752
#> 4 0.1817353 0.2151371 0.2948325 0.2734100 0.2651271 0.3231251 0.2822536
#> 5 0.3747651 0.4021601 0.4873657 0.4656612 0.4004217 0.5046368 0.4778768
#> 6 0.2924151 0.3328701 0.4874015 0.5035547 0.4112896 0.4598997 0.4777006
#> 7 0.4353951 0.4413303 0.6757624 0.6654566 0.6019513 0.7793660 0.7768489
#> 8 0.3381685 0.3854549 0.5617020 0.6047055 0.5408476 0.7199653 0.7191319
#> 9 0.2400901 0.3285177 0.4753505 0.5469502 0.4371523 0.5301729 0.4827538
#> 10 0.2442390 0.2897739 0.4125186 0.4491940 0.3531481 0.5261488 0.5484877
#> 11 0.2849204 0.2788963 0.3889221 0.4095462 0.3592674 0.5492185 0.5559516
#> 12 0.3487096 0.3007889 0.4135419 0.3984488 0.3896080 0.5144628 0.5177980
#> 13 0.4067897 0.3638779 0.4999699 0.4470508 0.4550770 0.5808651 0.5299745
#> 14 0.4817695 0.4849585 0.5585657 0.5088543 0.4697147 0.6043508 0.4872843
#> 15 0.6247839 0.6767182 0.7833555 0.6071036 0.5872885 0.6903396 0.5349215
#> 16 0.5893406 0.6288756 0.6644954 0.6142646 0.5917299 0.6162603 0.5236252
#> 17 0.4661958 0.5382545 0.6497214 0.6704350 0.7416137 0.8493234 0.7331472
#> 18 0.4560336 0.4903374 0.5787133 0.6715398 0.6890947 0.7613755 0.7303626
#> 19 0.3828852 0.4168726 0.5329103 0.6279790 0.5745432 0.6482256 0.5683116
#> 20 0.2089355 0.2326803 0.3455092 0.4112977 0.4098220 0.5378071 0.4124287
#> year
#> age 71 72 73 74 75 76 77
#> 1 0.3069690 0.3052507 0.3715904 0.3150047 0.2887075 0.4240531 0.3156191
#> 2 0.2440080 0.2453983 0.2682858 0.2454515 0.2360905 0.3493042 0.3461665
#> 3 0.4214652 0.4019311 0.4315747 0.3546178 0.3439880 0.4755043 0.4224133
#> 4 0.3258055 0.3000082 0.3792091 0.3094989 0.2925350 0.4058999 0.3331633
#> 5 0.4654875 0.4397495 0.5489391 0.4525821 0.3618098 0.4532411 0.4414252
#> 6 0.4991679 0.4208355 0.4930635 0.3732334 0.3062239 0.3564593 0.3350863
#> 7 0.8145258 0.6198633 0.6496432 0.4751209 0.4388414 0.5292373 0.6073652
#> 8 0.7878141 0.5623518 0.6793603 0.4164285 0.4041787 0.4955267 0.5745366
#> 9 0.6102675 0.4356712 0.4811589 0.3174283 0.2729130 0.2752113 0.2997012
#> 10 0.7616020 0.6062750 0.7283543 0.5091853 0.4113420 0.4040324 0.4411930
#> 11 0.6128368 0.5082556 0.6048508 0.4783132 0.3413624 0.3189034 0.3514238
#> 12 0.5107592 0.4705028 0.5539955 0.4342551 0.3372980 0.3359722 0.2992716
#> 13 0.4927019 0.4371596 0.5717044 0.4001981 0.2965359 0.2881515 0.2695657
#> 14 0.4765885 0.4338119 0.5442999 0.3547309 0.2966322 0.2433970 0.2356690
#> 15 0.4671094 0.4217932 0.5109172 0.3048118 0.2785928 0.2042339 0.2403199
#> 16 0.4817714 0.5000959 0.6961814 0.3959176 0.3809486 0.3058407 0.3179938
#> 17 0.7231440 0.6645158 0.9392855 0.4751832 0.5155688 0.3900251 0.3679224
#> 18 0.8414275 0.8311377 1.1558341 0.5330596 0.6007317 0.4455632 0.3887461
#> 19 0.6637281 0.5873979 0.8052975 0.4607379 0.5397326 0.4137268 0.3929904
#> 20 0.4926728 0.4794579 0.6390759 0.3235839 0.4144687 0.2964951 0.3081170
#> year
#> age 78 79 80 81 82 83 84
#> 1 0.2751842 0.3071343 0.3779499 0.3604373 0.3146582 0.4589518 0.4936411
#> 2 0.2802391 0.3258263 0.3770326 0.3689933 0.3140465 0.5183526 0.5113476
#> 3 0.3763457 0.4417348 0.4523583 0.4489587 0.4011291 0.6649357 0.6099206
#> 4 0.3135189 0.3416039 0.2986127 0.2994378 0.2873456 0.5176453 0.5351437
#> 5 0.3560437 0.3296999 0.2678667 0.2589742 0.2861681 0.5195541 0.5816645
#> 6 0.3491022 0.3140211 0.2645010 0.2695972 0.3133295 0.4086170 0.4833723
#> 7 0.5687997 0.5488269 0.4516277 0.4418881 0.5118603 0.6032995 0.5237831
#> 8 0.5065097 0.5482009 0.4976375 0.5569615 0.6831817 0.8090096 0.7412222
#> 9 0.2638698 0.2974427 0.2679110 0.2847880 0.3474670 0.4234599 0.4544118
#> 10 0.3649084 0.4942613 0.3769786 0.3446158 0.3769143 0.4200478 0.4214796
#> 11 0.3357692 0.4635835 0.3665020 0.3109757 0.4352535 0.5445593 0.5466964
#> 12 0.3036481 0.4482716 0.3039168 0.2633473 0.4111276 0.4154820 0.4558728
#> 13 0.3276414 0.4287872 0.2844129 0.2530538 0.3748506 0.4125716 0.4311692
#> 14 0.2956515 0.3885728 0.2439893 0.2809603 0.3115565 0.3485704 0.4042644
#> 15 0.2538683 0.3142694 0.2258064 0.2235575 0.2677482 0.3326920 0.3853950
#> 16 0.3338051 0.3941363 0.2992040 0.2729630 0.2998137 0.3170650 0.3069723
#> 17 0.3801348 0.4754607 0.3696400 0.3291877 0.4174139 0.4218163 0.4032433
#> 18 0.4217573 0.6340031 0.4662626 0.4068638 0.4909883 0.4507079 0.3902301
#> 19 0.3830323 0.5660283 0.5124884 0.4288612 0.4493777 0.3372856 0.2662741
#> 20 0.3037619 0.4532406 0.4136067 0.3368508 0.4332374 0.3521160 0.2481690
#> year
#> age 85 86 87 88 89 90 91
#> 1 0.5832389 0.7655056 0.7076239 0.6983279 0.6565014 0.5339610 0.7489109
#> 2 0.4981778 0.6847694 0.6359638 0.6008697 0.6212523 0.5995978 0.7772601
#> 3 0.6969214 0.8724892 0.7835993 0.8951862 1.0064559 0.9657049 1.1303828
#> 4 0.6626825 0.8910559 0.8849827 0.9248884 1.2107617 1.1810277 1.4151388
#> 5 0.7550847 0.7806300 0.7406222 0.8762448 1.2914447 1.0955208 1.2874411
#> 6 0.7356423 0.8537548 0.7439384 0.8302080 1.3164808 0.9646205 1.1316163
#> 7 0.7464985 0.7973703 0.8128673 0.7969811 1.1934160 0.9456923 1.0154781
#> 8 1.0622629 1.2259316 1.0542613 1.1527860 1.5869736 1.1239715 1.1761654
#> 9 0.6482437 0.8173070 0.8020578 0.9797059 1.2061591 0.9837888 0.9379754
#> 10 0.6813613 0.6269127 0.5962835 0.8538383 0.9402381 0.6365638 0.6705607
#> 11 0.7512657 0.7554244 0.8618550 0.9870778 0.8787577 0.5960264 0.6245779
#> 12 0.6038724 0.6222296 0.7280455 0.9338553 0.8282182 0.6325533 0.6074631
#> 13 0.5318141 0.5034703 0.6084037 0.7112526 0.6900187 0.5776690 0.5283358
#> 14 0.4355129 0.4450696 0.5263668 0.5844133 0.6091556 0.4927126 0.4188003
#> 15 0.4243839 0.4546620 0.5449307 0.5279907 0.6590388 0.5542039 0.4743862
#> 16 0.3635380 0.3690324 0.4579558 0.4538348 0.5917278 0.5485219 0.4876159
#> 17 0.4608171 0.4044696 0.4217892 0.3788975 0.4743396 0.4816481 0.4785033
#> 18 0.4845058 0.3992441 0.3719459 0.4164672 0.4712155 0.5334751 0.5231369
#> 19 0.3080828 0.2960565 0.3005158 0.3616552 0.3883360 0.4162411 0.4150637
#> 20 0.3005312 0.3114566 0.3625071 0.4074344 0.3563059 0.4061278 0.3906808
#> year
#> age 92 93 94 95 96 97 98
#> 1 0.5968289 0.5905415 0.6565579 0.4505555 0.4695807 0.8072341 0.6933165
#> 2 0.6701614 0.6361675 0.7138298 0.5565276 0.5125654 0.8566690 0.8208014
#> 3 0.9043435 0.7450596 0.7762908 0.6597949 0.5479157 0.9018218 0.8504777
#> 4 1.0567438 0.8658971 0.8149648 0.7459674 0.7080456 1.1639622 1.1194893
#> 5 1.0742273 0.8297299 0.7119549 0.6541202 0.6028730 0.9791956 1.0605942
#> 6 0.8594120 0.6317285 0.5914315 0.4489355 0.4096950 0.5959354 0.6900390
#> 7 0.8203919 0.5764776 0.5839577 0.4982645 0.5349195 0.7838524 0.8426429
#> 8 0.9371019 0.5993524 0.5564686 0.5126426 0.5369914 0.6055209 0.6313248
#> 9 0.8050274 0.5292542 0.5005084 0.4628027 0.4758832 0.5290590 0.4850200
#> 10 0.5278221 0.3577466 0.3368576 0.3425150 0.3923988 0.5567218 0.5627948
#> 11 0.5593453 0.4203697 0.3773131 0.4315427 0.4655969 0.5820784 0.6819213
#> 12 0.5044930 0.4434071 0.3864589 0.3785479 0.4181264 0.5537834 0.7181370
#> 13 0.4415384 0.3544969 0.3486616 0.3454600 0.4302067 0.6074427 0.6681484
#> 14 0.3896386 0.2956973 0.2905360 0.2842224 0.3652278 0.4776099 0.5325829
#> 15 0.4218164 0.2887937 0.3098530 0.2919024 0.3799821 0.4744867 0.5094500
#> 16 0.4269695 0.2892966 0.3557507 0.3226518 0.3849988 0.5292663 0.6080618
#> 17 0.4607563 0.3191674 0.4105067 0.4110261 0.4315969 0.6838312 0.8394009
#> 18 0.5529082 0.4122295 0.4700364 0.4436431 0.4159543 0.7143771 0.9272595
#> 19 0.4460975 0.3788091 0.4377221 0.3868059 0.3599791 0.6628614 0.9614653
#> 20 0.3751998 0.3399288 0.3582157 0.3474967 0.2888098 0.4710930 0.6658394
#> year
#> age 99 100
#> 1 0.4585065 0.6520421
#> 2 0.5197236 0.7417294
#> 3 0.5377406 0.7166571
#> 4 0.6699325 0.9783865
#> 5 0.5749701 0.7560182
#> 6 0.4256866 0.4667733
#> 7 0.4978451 0.5883719
#> 8 0.3514052 0.4585602
#> 9 0.2690832 0.3042531
#> 10 0.4244028 0.4483705
#> 11 0.5947241 0.6136594
#> 12 0.7283978 0.6805225
#> 13 0.6454895 0.5703907
#> 14 0.4799633 0.3994433
#> 15 0.4761428 0.3731776
#> 16 0.6038841 0.5595911
#> 17 0.7292472 0.7336006
#> 18 0.8018580 0.8778451
#> 19 0.8270704 0.8479685
#> 20 0.5377685 0.4968035
sim_abundance(Z = sim_Z(log_mean = log(0.5), log_sd = 0.1, plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178 181 184 187 190 193 196 199 202 205 208 211 214 217 220 223 226
#> [77] 229 232 235 238
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6
#> 25833460.85 38404684.56 30005818.46 5654239.06 4001093.62 1017976.25
#> 7 8 9 10 11 12
#> 610424.32 959855.37 823361.72 777649.72 605990.23 211266.27
#> 13 14 15 16 17 18
#> 118194.72 98623.45 135088.81 102174.98 42610.73 62263.07
#> 19 20
#> 50319.91 45849.64
#>
#> $N0
#> [1] 25833460.85 16578007.64 10265534.26 6329414.54 3832360.22 2616464.62
#> [7] 1895611.22 1346656.31 896237.03 600412.79 426254.23 291729.97
#> [13] 201610.51 134736.73 88174.25 59753.79 41299.91 29648.66
#> [19] 21314.41 15612.62
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.4435936 0.4905819 0.3661391 0.3438082 0.3695551 0.3012191 0.2791397
#> 2 0.4792849 0.4657560 0.3705067 0.3518840 0.3548086 0.2653296 0.2555891
#> 3 0.4835844 0.5584226 0.4689636 0.4124716 0.3690177 0.3302253 0.2716822
#> 4 0.5017269 0.5724338 0.3993342 0.4571112 0.4100872 0.3796703 0.2923728
#> 5 0.3816568 0.4450245 0.4510818 0.4653350 0.3507824 0.3759980 0.3189512
#> 6 0.3222827 0.4175437 0.4481182 0.5533222 0.4569488 0.4147548 0.3508782
#> 7 0.3419166 0.4747384 0.5083713 0.5576801 0.4352101 0.4539410 0.3935052
#> 8 0.4071751 0.5778747 0.6250096 0.5796235 0.4732166 0.4749698 0.3493921
#> 9 0.4005875 0.6288460 0.6282384 0.5140522 0.4345694 0.5273043 0.3982030
#> 10 0.3425815 0.6312706 0.5807263 0.5066948 0.4112284 0.5162515 0.3885375
#> 11 0.3792073 0.6936672 0.5832361 0.4742260 0.4003184 0.4627244 0.3479261
#> 12 0.3694910 0.6806758 0.5535464 0.4306140 0.4811434 0.5244178 0.3860778
#> 13 0.4030149 0.6973748 0.5460502 0.4926764 0.6259313 0.7482849 0.4403268
#> 14 0.4240078 0.5760623 0.5009169 0.4612935 0.6044905 0.7347228 0.3686678
#> 15 0.3890823 0.4232401 0.4863597 0.4243614 0.5641183 0.7577553 0.3638179
#> 16 0.3693722 0.4294612 0.4688277 0.5348442 0.5498258 0.7279122 0.3451435
#> 17 0.3314434 0.4326880 0.5344256 0.5772687 0.5693998 0.6753182 0.3359407
#> 18 0.3300337 0.3532271 0.4718070 0.4999956 0.5461255 0.5610001 0.3014932
#> 19 0.3113036 0.3340240 0.4593766 0.5446309 0.6100144 0.6827300 0.3198813
#> 20 0.3638121 0.3686720 0.4498122 0.5591703 0.6511176 0.7608269 0.3435908
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.3228129 0.4264691 0.6428868 0.5864072 0.3651176 0.4259722 0.3225675
#> 2 0.3128288 0.3980705 0.5402705 0.6020240 0.3675115 0.4369532 0.3387368
#> 3 0.3838700 0.5019351 0.5887387 0.4747363 0.3392248 0.4833738 0.3448024
#> 4 0.3857800 0.4987159 0.5614809 0.4900389 0.3428742 0.5330681 0.3521086
#> 5 0.4118279 0.4664008 0.5254691 0.4568774 0.3506027 0.5062015 0.3125472
#> 6 0.4438999 0.4911113 0.5731077 0.3984671 0.3480252 0.5562715 0.3044247
#> 7 0.4570757 0.4538850 0.4914050 0.4718880 0.3968650 0.5500234 0.2928646
#> 8 0.4139457 0.4168632 0.4024640 0.4987013 0.4587430 0.6109232 0.3648320
#> 9 0.4783035 0.4221768 0.4656122 0.5367522 0.5215719 0.6386967 0.5013555
#> 10 0.4176600 0.3705180 0.4198951 0.4956143 0.4982473 0.6571701 0.5553827
#> 11 0.3700781 0.2830384 0.3424487 0.5029598 0.5305509 0.5892365 0.5484071
#> 12 0.3678318 0.3428614 0.4454441 0.5509083 0.5429998 0.6407628 0.5696697
#> 13 0.3680792 0.3287650 0.4584179 0.5040241 0.4789049 0.5087628 0.4704792
#> 14 0.3462148 0.3351409 0.4463690 0.4446535 0.4508885 0.5031201 0.4714188
#> 15 0.3717158 0.3825800 0.4546766 0.4384659 0.4276937 0.4875275 0.4017288
#> 16 0.3647415 0.3867137 0.4813465 0.4366604 0.3688095 0.4230210 0.3807559
#> 17 0.4165199 0.4603661 0.5117754 0.4621745 0.4111194 0.4455902 0.3512764
#> 18 0.3323595 0.3622924 0.5223313 0.4494852 0.3979681 0.3996467 0.3723359
#> 19 0.3572830 0.3221293 0.6081638 0.4475702 0.4065411 0.4077979 0.3121806
#> 20 0.4160501 0.4214032 0.7530678 0.4493980 0.4334757 0.4123349 0.3382397
#> year
#> age 15 16 17 18 19 20
#> 1 0.3037282 0.4204182 0.4210879 0.5125570 0.4186901 0.5356313
#> 2 0.2564522 0.4850308 0.4722050 0.5097798 0.4706696 0.5093724
#> 3 0.2989278 0.4660914 0.4483338 0.4945761 0.4410854 0.5119528
#> 4 0.3047786 0.5201967 0.4716070 0.5894992 0.4897445 0.5480140
#> 5 0.3381235 0.6209161 0.5811306 0.4969621 0.4409271 0.6400681
#> 6 0.3149793 0.5129395 0.4464087 0.4512492 0.4148990 0.5410510
#> 7 0.2761200 0.4158308 0.4333987 0.4572703 0.4105173 0.5295939
#> 8 0.2949576 0.4280673 0.3601738 0.4157343 0.3946115 0.4874953
#> 9 0.3226899 0.3701751 0.3779635 0.4557042 0.4405745 0.4917689
#> 10 0.4221164 0.4706938 0.4703541 0.5118914 0.4416281 0.4809292
#> 11 0.4947322 0.5957164 0.5368271 0.5792645 0.4168480 0.4606373
#> 12 0.6095920 0.6827141 0.6420612 0.6199906 0.4216220 0.4597265
#> 13 0.5206570 0.7421899 0.6572057 0.5728672 0.5271810 0.5610149
#> 14 0.5560415 0.7674894 0.6982563 0.5176919 0.4949485 0.5304761
#> 15 0.5283358 0.8017541 0.6392741 0.4946108 0.4665967 0.6116539
#> 16 0.4620710 0.7785068 0.6625045 0.5382305 0.4364008 0.6329779
#> 17 0.3962394 0.8080383 0.5823487 0.5871054 0.4234241 0.6696485
#> 18 0.3933641 0.8267335 0.4692741 0.6012062 0.4436377 0.6860227
#> 19 0.3515673 0.8532176 0.4531970 0.6247232 0.4695048 0.5813901
#> 20 0.4149196 0.8823097 0.5419620 0.6053028 0.4765726 0.6067000
#>
#> $N
#> year
#> age 1 2 3 4 5 6
#> 1 25833460.85 38404684.56 30005818.46 5654239.06 4001093.619 1017976.252
#> 2 16578007.64 16578007.64 23514036.03 20806223.88 4009222.666 2764922.532
#> 3 10265534.26 10265534.26 10405358.79 16233724.48 14634300.597 2811698.441
#> 4 6329414.54 6329414.54 5873022.91 6510116.62 10746919.990 10118348.635
#> 5 3832360.22 3832360.22 3570744.00 3939427.04 4121619.590 7131574.465
#> 6 2616464.62 2616464.62 2455809.25 2274345.10 2473663.543 2902184.680
#> 7 1895611.22 1895611.22 1723367.67 1568842.51 1307830.924 1566355.323
#> 8 1346656.31 1346656.31 1179160.69 1036561.53 898218.410 846334.955
#> 9 896237.03 896237.03 755594.81 631153.18 580587.641 559585.702
#> 10 600412.79 600412.79 477879.64 403133.12 377471.991 375955.719
#> 11 426254.23 426254.23 319368.87 267369.77 242881.104 250201.837
#> 12 291729.97 291729.97 213016.32 178236.39 166402.013 162756.242
#> 13 201610.51 201610.51 147695.51 122464.64 115873.222 102849.135
#> 14 134736.73 134736.73 100379.99 85550.14 74824.540 61964.733
#> 15 88174.25 88174.25 75736.51 60827.74 53936.591 40880.592
#> 16 59753.79 59753.79 57747.20 46567.40 39792.743 30682.448
#> 17 41299.91 41299.91 38891.33 36134.47 27277.344 22962.415
#> 18 29648.66 29648.66 26793.85 22790.55 20286.963 15435.294
#> 19 21314.41 21314.41 20825.74 16715.98 13823.225 11749.997
#> 20 15612.62 15612.62 15261.90 13155.15 9696.204 7510.753
#> year
#> age 7 8 9 10 11 12
#> 1 610424.320 959855.369 823361.722 777649.718 605990.230 211266.274
#> 2 753216.559 461745.824 695040.244 537498.789 408866.769 337125.973
#> 3 2120566.059 583336.172 337709.420 466799.249 313141.778 223937.126
#> 4 2020941.441 1616075.781 397380.257 204435.129 259086.146 194789.552
#> 5 6921829.672 1508612.917 1098802.390 241333.011 116602.392 158716.836
#> 6 4896565.458 5031554.055 999362.964 689230.206 142694.880 73839.395
#> 7 1916899.357 3447522.250 3227891.081 611556.141 388567.768 95797.975
#> 8 994823.957 1293308.687 2182738.165 2050213.555 374129.403 242397.657
#> 9 526338.959 701466.884 854924.690 1438666.973 1370917.110 227215.841
#> 10 330264.012 353450.132 434793.038 560504.138 903124.157 801498.398
#> 11 224352.819 223934.792 232777.353 300170.939 368316.102 550180.140
#> 12 157518.596 158426.976 154667.361 175395.614 213130.231 222734.773
#> 13 96335.397 107068.167 109668.477 109773.085 112347.864 122853.803
#> 14 48665.887 62023.234 74097.849 78940.703 69407.676 67868.763
#> 15 29720.666 33660.011 43872.786 52997.544 50517.913 44493.536
#> 16 19161.444 20656.391 23210.266 29925.597 33635.060 32585.328
#> 17 14817.051 13568.578 14343.304 15766.399 18492.545 21734.667
#> 18 11687.741 10589.235 8946.271 9051.379 9450.859 11648.684
#> 19 8807.966 8645.572 7594.911 6227.309 5368.700 6029.237
#> 20 5936.519 6396.656 6048.222 5503.306 3389.833 3431.562
#> year
#> age 13 14 15 16 17 18 19
#> 1 118194.722 98623.450 135088.810 102174.980 42610.730 62263.070 50319.912
#> 2 146643.093 77197.051 71431.686 99703.845 67105.673 27966.802 37293.217
#> 3 233444.678 94731.684 55016.023 55273.266 61385.489 41848.819 16797.640
#> 4 159515.409 143965.153 67104.162 40800.596 34681.208 39206.385 25520.639
#> 5 138247.500 93603.931 101236.837 49474.998 24252.022 21641.028 21744.056
#> 6 111778.478 83332.952 68478.867 72192.718 26590.429 13563.324 13165.883
#> 7 52136.602 64087.387 61462.017 49976.152 43224.164 17015.806 8637.561
#> 8 64416.936 30079.500 47817.081 46632.576 32973.861 28022.311 10771.162
#> 9 153214.145 34968.701 20884.595 35602.838 30393.601 23001.083 18490.677
#> 10 134872.312 80894.017 21180.858 15124.590 24587.797 20827.382 14582.717
#> 11 486986.137 69906.480 46421.241 13887.394 9446.346 15361.988 12483.118
#> 12 323660.402 270155.880 40396.826 28304.618 7654.281 5522.336 8607.480
#> 13 129409.512 170533.552 152830.494 21958.607 14300.735 4027.734 2970.738
#> 14 76103.185 77806.041 106532.794 90801.190 10453.839 7412.036 2271.264
#> 15 43236.602 46015.118 48560.005 61093.863 42147.823 5200.283 4416.791
#> 16 29010.278 26553.456 30791.577 28630.268 27403.132 22240.367 3171.175
#> 17 22534.617 19003.614 18145.163 19398.004 13143.899 14127.917 12983.488
#> 18 14408.079 14432.209 13374.539 12208.893 8646.303 7341.984 7854.192
#> 19 7824.228 9661.437 9945.563 9024.911 5341.097 5407.883 4024.509
#> 20 4015.169 5203.998 7070.716 6997.544 3844.990 3394.764 2895.433
#> year
#> age 20
#> 1 45849.642
#> 2 33105.876
#> 3 23292.742
#> 4 10806.557
#> 5 15638.613
#> 6 13990.987
#> 7 8694.841
#> 8 5729.355
#> 9 7259.137
#> 10 11901.830
#> 11 9376.523
#> 12 8227.886
#> 13 5646.352
#> 14 1753.527
#> 15 1384.568
#> 16 2769.915
#> 17 2049.716
#> 18 8501.599
#> 19 5040.018
#> 20 2516.573
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.569594e-55 2.333398e-55 1.823099e-55 3.435412e-56 2.430991e-56
#> 4 1.898410e-15 2.822225e-15 2.205022e-15 4.155101e-16 2.940263e-16
#> 7 1.389041e-01 2.064984e-01 1.613385e-01 3.040231e-02 2.151350e-02
#> 10 5.798578e+04 8.620314e+04 6.735105e+04 1.269150e+04 8.980854e+03
#> 13 6.939953e+06 1.031711e+07 8.060824e+06 1.518967e+06 1.074862e+06
#> 16 1.593045e+07 2.368141e+07 1.850400e+07 3.489291e+06 2.467526e+06
#> 19 3.143028e+06 4.520972e+06 3.730648e+06 1.010587e+06 5.138747e+05
#> 22 3.564604e+06 3.601270e+06 5.036216e+06 4.396016e+06 8.567315e+05
#> 25 7.343139e+06 7.343410e+06 1.039262e+07 9.233684e+06 1.842057e+06
#> 28 5.009934e+06 5.009935e+06 6.843297e+06 6.498863e+06 1.979974e+06
#> 31 3.378918e+06 3.378918e+06 3.830563e+06 5.000014e+06 3.631207e+06
#> 34 3.775885e+06 3.775885e+06 3.853803e+06 5.810276e+06 5.309229e+06
#> 37 3.317351e+06 3.317351e+06 3.293308e+06 4.777542e+06 4.937496e+06
#> 40 2.675111e+06 2.675111e+06 2.568641e+06 3.304208e+06 4.193335e+06
#> 43 2.351321e+06 2.351321e+06 2.205477e+06 2.556651e+06 3.670304e+06
#> 46 2.044497e+06 2.044497e+06 1.904629e+06 2.111792e+06 2.933869e+06
#> 49 1.745056e+06 1.745056e+06 1.625167e+06 1.752914e+06 2.187143e+06
#> 52 1.512307e+06 1.512307e+06 1.408682e+06 1.466666e+06 1.656451e+06
#> 55 1.327820e+06 1.327820e+06 1.234037e+06 1.231050e+06 1.302731e+06
#> 58 1.171148e+06 1.171148e+06 1.081539e+06 1.036121e+06 1.044507e+06
#> 61 1.032518e+06 1.032518e+06 9.432807e+05 8.756312e+05 8.433228e+05
#> 64 9.050528e+05 9.050528e+05 8.148579e+05 7.392519e+05 6.844709e+05
#> 67 7.853070e+05 7.853070e+05 6.947379e+05 6.191067e+05 5.588163e+05
#> 70 6.731150e+05 6.731150e+05 5.837120e+05 5.123020e+05 4.579359e+05
#> 73 5.698336e+05 5.698336e+05 4.834703e+05 4.187571e+05 3.749537e+05
#> 76 4.767814e+05 4.767814e+05 3.954298e+05 3.387810e+05 3.054549e+05
#> 79 3.944748e+05 3.944748e+05 3.200919e+05 2.719404e+05 2.469822e+05
#> 82 3.226141e+05 3.226141e+05 2.569462e+05 2.169825e+05 1.980291e+05
#> 85 2.604495e+05 2.604495e+05 2.047464e+05 1.722019e+05 1.573697e+05
#> 88 2.071358e+05 2.071358e+05 1.619026e+05 1.358209e+05 1.238332e+05
#> 91 1.619038e+05 1.619038e+05 1.268149e+05 1.062337e+05 9.631558e+04
#> 94 1.240730e+05 1.240730e+05 9.808631e+04 8.212167e+04 7.384609e+04
#> 97 9.299917e+04 9.299917e+04 7.461352e+04 6.247737e+04 5.562434e+04
#> 100 6.802373e+04 6.802373e+04 5.557720e+04 4.656793e+04 4.101222e+04
#> 103 4.844849e+04 4.844849e+04 4.036783e+04 3.385873e+04 2.949321e+04
#> 106 3.353494e+04 3.353494e+04 2.849023e+04 2.392593e+04 2.062205e+04
#> 109 2.252249e+04 2.252249e+04 1.948541e+04 1.638526e+04 1.398519e+04
#> 112 1.465958e+04 1.465958e+04 1.289136e+04 1.085427e+04 9.182927e+03
#> 115 9.240487e+03 9.240487e+03 8.242263e+03 6.948027e+03 5.832245e+03
#> 118 5.639157e+03 5.639157e+03 5.091433e+03 4.296401e+03 3.581613e+03
#> 121 3.332230e+03 3.332230e+03 3.039534e+03 2.567141e+03 2.127100e+03
#> 124 1.907499e+03 1.907499e+03 1.754911e+03 1.483213e+03 1.222426e+03
#> 127 1.058596e+03 1.058596e+03 9.808901e+02 8.294816e+02 6.804174e+02
#> 130 5.701041e+02 5.701041e+02 5.314053e+02 4.495621e+02 3.672258e+02
#> 133 2.982785e+02 2.982785e+02 2.794149e+02 2.364497e+02 1.924175e+02
#> 136 1.517973e+02 1.517973e+02 1.427906e+02 1.208568e+02 9.801541e+01
#> 139 7.523773e+01 7.523773e+01 7.102259e+01 6.011958e+01 4.860552e+01
#> 142 3.636671e+01 3.636671e+01 3.443188e+01 2.914749e+01 2.349767e+01
#> 145 1.716472e+01 1.716472e+01 1.629307e+01 1.379254e+01 1.108950e+01
#> 148 7.921249e+00 7.921249e+00 7.535604e+00 6.378898e+00 5.116040e+00
#> 151 3.578674e+00 3.578674e+00 3.410992e+00 2.887256e+00 2.310250e+00
#> 154 1.584718e+00 1.584718e+00 1.513014e+00 1.280616e+00 1.022432e+00
#> 157 6.886421e-01 6.886421e-01 6.584652e-01 5.572855e-01 4.440011e-01
#> 160 2.939921e-01 2.939921e-01 2.814836e-01 2.382139e-01 1.894120e-01
#> 163 1.234368e-01 1.234368e-01 1.183265e-01 1.001307e-01 7.946572e-02
#> 166 5.102294e-02 5.102294e-02 4.896352e-02 4.143165e-02 3.282103e-02
#> 169 2.078354e-02 2.078354e-02 1.996431e-02 1.689246e-02 1.335832e-02
#> 172 8.350396e-03 8.350396e-03 8.028479e-03 6.792911e-03 5.362689e-03
#> 175 3.312126e-03 3.312126e-03 3.187080e-03 2.696530e-03 2.125331e-03
#> 178 1.298007e-03 1.298007e-03 1.249959e-03 1.057556e-03 8.322325e-04
#> 181 5.029869e-04 5.029869e-04 4.847116e-04 4.101026e-04 3.222383e-04
#> 184 1.928702e-04 1.928702e-04 1.859854e-04 1.573603e-04 1.234654e-04
#> 187 7.323276e-05 7.323276e-05 7.066212e-05 5.978823e-05 4.684382e-05
#> 190 2.755258e-05 2.755258e-05 2.660076e-05 2.250823e-05 1.761101e-05
#> 193 1.027787e-05 1.027787e-05 9.928192e-06 8.401194e-06 6.564615e-06
#> 196 3.803556e-06 3.803556e-06 3.676009e-06 3.110827e-06 2.427663e-06
#> 199 1.397167e-06 1.397167e-06 1.350966e-06 1.143343e-06 8.911474e-07
#> 202 5.097075e-07 5.097075e-07 4.930735e-07 4.173318e-07 3.248872e-07
#> 205 1.847371e-07 1.847371e-07 1.787895e-07 1.513396e-07 1.176770e-07
#> 208 6.657021e-08 6.657021e-08 6.445240e-08 5.456281e-08 4.237841e-08
#> 211 2.386861e-08 2.386861e-08 2.311555e-08 1.957060e-08 1.518461e-08
#> 214 8.509629e-09 8.509629e-09 8.245504e-09 6.981814e-09 5.411087e-09
#> 217 3.020495e-09 3.020495e-09 2.927041e-09 2.478494e-09 1.919288e-09
#> 220 1.067801e-09 1.067801e-09 1.035336e-09 8.768826e-10 6.783256e-10
#> 223 3.748439e-10 3.748439e-10 3.636196e-10 3.080458e-10 2.379053e-10
#> 226 1.307902e-10 1.307902e-10 1.269434e-10 1.076891e-10 8.294267e-11
#> 229 4.222410e-11 4.222410e-11 4.102819e-11 3.478240e-11 2.669146e-11
#> 232 1.842451e-11 1.842451e-11 1.776542e-11 1.500504e-11 1.178065e-11
#> 235 5.833073e-12 5.833073e-12 5.700943e-12 4.776877e-12 3.687676e-12
#> 238 1.733349e-12 1.733349e-12 1.694411e-12 1.460515e-12 1.076495e-12
#> year
#> length 6 7 8 9 10
#> 1 6.185037e-57 3.708826e-57 5.831905e-57 5.002595e-57 4.724857e-57
#> 4 7.480748e-17 4.485793e-17 7.053639e-17 6.050595e-17 5.714674e-17
#> 7 5.473563e-03 3.282194e-03 5.161052e-03 4.427138e-03 4.181349e-03
#> 10 2.284949e+03 1.370158e+03 2.154491e+03 1.848117e+03 1.745512e+03
#> 13 2.734713e+05 1.639856e+05 2.578575e+05 2.211896e+05 2.089094e+05
#> 16 6.280583e+05 3.764776e+05 5.918810e+05 5.077585e+05 4.795507e+05
#> 19 1.635173e+05 8.105781e+04 1.138841e+05 1.033049e+05 9.533522e+04
#> 22 5.850265e+05 1.604798e+05 1.000154e+05 1.486807e+05 1.154117e+05
#> 25 1.230646e+06 3.426391e+05 2.061564e+05 3.073539e+05 2.388110e+05
#> 28 9.064988e+05 3.323021e+05 1.585538e+05 2.042180e+05 1.708876e+05
#> 31 8.523202e+05 5.386476e+05 1.680288e+05 1.210504e+05 1.401534e+05
#> 34 1.319622e+06 7.894422e+05 2.560408e+05 1.322961e+05 1.673208e+05
#> 37 2.029674e+06 8.091002e+05 3.587305e+05 1.389272e+05 1.403075e+05
#> 40 2.979938e+06 9.215840e+05 5.056643e+05 1.655264e+05 1.039081e+05
#> 43 3.506203e+06 1.317318e+06 6.390556e+05 2.326333e+05 9.618512e+04
#> 46 3.347669e+06 1.868980e+06 7.755042e+05 3.280280e+05 1.121362e+05
#> 49 2.876236e+06 2.294428e+06 1.018182e+06 4.374811e+05 1.514168e+05
#> 52 2.335450e+06 2.382504e+06 1.353108e+06 5.666741e+05 2.139401e+05
#> 55 1.807504e+06 2.161320e+06 1.630848e+06 7.349045e+05 2.967344e+05
#> 58 1.361334e+06 1.784560e+06 1.715441e+06 9.237169e+05 4.000030e+05
#> 61 1.025314e+06 1.383347e+06 1.589503e+06 1.065875e+06 5.193606e+05
#> 64 7.832446e+05 1.031676e+06 1.331129e+06 1.099715e+06 6.319624e+05
#> 67 6.079847e+05 7.570379e+05 1.036240e+06 1.016432e+06 7.020624e+05
#> 70 4.784783e+05 5.564787e+05 7.697497e+05 8.553468e+05 7.047739e+05
#> 73 3.804504e+05 4.138935e+05 5.582627e+05 6.695581e+05 6.421576e+05
#> 76 3.041139e+05 3.122029e+05 4.025207e+05 4.986075e+05 5.381528e+05
#> 79 2.429003e+05 2.380893e+05 2.918587e+05 3.607406e+05 4.220741e+05
#> 82 1.927196e+05 1.824177e+05 2.136894e+05 2.580224e+05 3.155727e+05
#> 85 1.512079e+05 1.393670e+05 1.576634e+05 1.845550e+05 2.287995e+05
#> 88 1.169868e+05 1.054389e+05 1.165454e+05 1.325737e+05 1.630411e+05
#> 91 8.910742e+04 7.858238e+04 8.570850e+04 9.544300e+04 1.151201e+05
#> 94 6.674655e+04 5.751079e+04 6.230663e+04 6.845540e+04 8.073669e+04
#> 97 4.910658e+04 4.126490e+04 4.455342e+04 4.857351e+04 5.612584e+04
#> 100 3.542228e+04 2.900543e+04 3.123026e+04 3.388505e+04 3.850191e+04
#> 103 2.499399e+04 1.995929e+04 2.141019e+04 2.313034e+04 2.593365e+04
#> 106 1.720649e+04 1.343186e+04 1.433212e+04 1.540025e+04 1.707795e+04
#> 109 1.152806e+04 8.827492e+03 9.355906e+03 9.981004e+03 1.096023e+04
#> 112 7.500811e+03 5.656342e+03 5.949290e+03 6.289556e+03 6.841179e+03
#> 115 4.732379e+03 3.528090e+03 3.681584e+03 3.851357e+03 4.148524e+03
#> 118 2.892526e+03 2.139350e+03 2.215499e+03 2.291263e+03 2.443087e+03
#> 121 1.712250e+03 1.260032e+03 1.295892e+03 1.324483e+03 1.397388e+03
#> 124 9.818263e+02 7.205484e+02 7.366335e+02 7.441620e+02 7.766554e+02
#> 127 5.456809e+02 4.000787e+02 4.069827e+02 4.065896e+02 4.197356e+02
#> 130 2.942161e+02 2.157799e+02 2.186353e+02 2.161713e+02 2.207652e+02
#> 133 1.540614e+02 1.131284e+02 1.142786e+02 1.119266e+02 1.131121e+02
#> 136 7.844318e+01 5.770769e+01 5.816623e+01 5.648690e+01 5.651404e+01
#> 139 3.888819e+01 2.867269e+01 2.885756e+01 2.781383e+01 2.756352e+01
#> 142 1.879592e+01 1.389272e+01 1.396990e+01 1.337569e+01 1.313756e+01
#> 145 8.869046e+00 6.572379e+00 6.606321e+00 6.288878e+00 6.125883e+00
#> 148 4.091037e+00 3.039586e+00 3.055329e+00 2.893995e+00 2.797475e+00
#> 151 1.847119e+00 1.375939e+00 1.383536e+00 1.304841e+00 1.252477e+00
#> 154 8.173428e-01 6.103835e-01 6.141204e-01 5.770519e-01 5.503407e-01
#> 157 3.548810e-01 2.656661e-01 2.675061e-01 2.505671e-01 2.375705e-01
#> 160 1.513662e-01 1.135772e-01 1.144729e-01 1.069368e-01 1.008506e-01
#> 163 6.349181e-02 4.774622e-02 4.817425e-02 4.490067e-02 4.214067e-02
#> 166 2.621802e-02 1.975738e-02 1.995754e-02 1.856579e-02 1.734829e-02
#> 169 1.066849e-02 8.055457e-03 8.146962e-03 7.566669e-03 7.042449e-03
#> 172 4.281853e-03 3.239120e-03 3.280030e-03 3.042327e-03 2.821405e-03
#> 175 1.696558e-03 1.285655e-03 1.303559e-03 1.207753e-03 1.116422e-03
#> 178 6.641634e-04 5.041337e-04 5.118144e-04 4.737681e-04 4.366589e-04
#> 181 2.570939e-04 1.954496e-04 1.986836e-04 1.837790e-04 1.689360e-04
#> 184 9.847839e-05 7.497482e-05 7.631330e-05 7.054704e-05 6.469429e-05
#> 187 3.735310e-05 2.847704e-05 2.902225e-05 2.681698e-05 2.453911e-05
#> 190 1.403896e-05 1.071671e-05 1.093556e-05 1.010108e-05 9.225063e-06
#> 193 5.231593e-06 3.998393e-06 4.085061e-06 3.772370e-06 3.439141e-06
#> 196 1.934136e-06 1.479907e-06 1.513806e-06 1.397689e-06 1.272202e-06
#> 199 7.097728e-07 5.436649e-07 5.567723e-07 5.140109e-07 4.671892e-07
#> 202 2.586871e-07 1.983477e-07 2.033634e-07 1.877366e-07 1.704141e-07
#> 205 9.367026e-08 7.188961e-08 7.378853e-08 6.811658e-08 6.175714e-08
#> 208 3.372308e-08 2.590496e-08 2.661832e-08 2.457388e-08 2.225635e-08
#> 211 1.207982e-08 9.287252e-09 9.554251e-09 8.822942e-09 7.984683e-09
#> 214 4.303416e-09 3.310849e-09 3.408977e-09 3.147740e-09 2.846030e-09
#> 217 1.525738e-09 1.174854e-09 1.211211e-09 1.119404e-09 1.012026e-09
#> 220 5.391368e-10 4.154714e-10 4.285191e-10 3.955769e-10 3.569581e-10
#> 223 1.891254e-10 1.459948e-10 1.507065e-10 1.390109e-10 1.249907e-10
#> 226 6.597882e-11 5.086428e-11 5.255949e-11 4.860840e-11 4.377183e-11
#> 229 2.110735e-11 1.641358e-11 1.708796e-11 1.578134e-11 1.415721e-11
#> 232 9.325852e-12 7.207877e-12 7.356373e-12 6.708570e-12 6.053584e-12
#> 235 2.972234e-12 2.296053e-12 2.380194e-12 2.186179e-12 1.913350e-12
#> 238 8.338611e-13 6.590860e-13 7.101714e-13 6.714875e-13 6.109897e-13
#> year
#> length 11 12 13 14 15
#> 1 3.681886e-57 1.283615e-57 7.181295e-58 5.992180e-58 8.207748e-58
#> 4 4.453209e-17 1.552521e-17 8.685713e-18 7.247490e-18 9.927200e-18
#> 7 3.258352e-03 1.135959e-03 6.355219e-04 5.302890e-04 7.263598e-04
#> 10 1.360206e+03 4.742082e+02 2.652998e+02 2.213702e+02 3.032203e+02
#> 13 1.627944e+05 5.675500e+04 3.175207e+04 2.649440e+04 3.629053e+04
#> 16 3.736926e+05 1.303093e+05 7.289640e+04 6.081915e+04 8.330152e+04
#> 19 7.410325e+04 2.948960e+04 1.570998e+04 1.226027e+04 1.614897e+04
#> 22 8.782972e+04 7.157429e+04 3.122376e+04 1.654041e+04 1.542968e+04
#> 25 1.814316e+05 1.494042e+05 6.572995e+04 3.444952e+04 3.169963e+04
#> 28 1.273622e+05 1.028498e+05 5.333463e+04 2.631008e+04 2.227418e+04
#> 31 9.745857e+04 7.245492e+04 6.290230e+04 2.692935e+04 1.718847e+04
#> 34 1.168432e+05 8.422846e+04 8.486633e+04 3.736241e+04 2.131843e+04
#> 37 1.097355e+05 8.012100e+04 7.763262e+04 4.200964e+04 2.250918e+04
#> 40 9.786717e+04 7.460809e+04 6.628695e+04 4.754029e+04 2.502913e+04
#> 43 9.002234e+04 7.403714e+04 6.311313e+04 5.084848e+04 2.990581e+04
#> 46 7.789150e+04 7.011952e+04 6.090185e+04 4.800027e+04 3.442872e+04
#> 49 7.039886e+04 6.352062e+04 5.815038e+04 4.364061e+04 3.716989e+04
#> 52 7.753881e+04 5.735064e+04 5.476201e+04 4.059313e+04 3.730477e+04
#> 55 1.026975e+05 5.544775e+04 5.047208e+04 3.817827e+04 3.552827e+04
#> 58 1.469821e+05 6.265283e+04 4.690760e+04 3.556537e+04 3.318034e+04
#> 61 2.106545e+05 8.241180e+04 4.716818e+04 3.298743e+04 3.081551e+04
#> 64 2.899297e+05 1.156497e+05 5.440735e+04 3.174648e+04 2.851246e+04
#> 67 3.721185e+05 1.600882e+05 7.040331e+04 3.369719e+04 2.671338e+04
#> 70 4.364701e+05 2.089495e+05 9.440441e+04 4.031562e+04 2.640761e+04
#> 73 4.638220e+05 2.512729e+05 1.225462e+05 5.172962e+04 2.864126e+04
#> 76 4.473657e+05 2.757299e+05 1.484369e+05 6.618191e+04 3.378942e+04
#> 79 3.951608e+05 2.759426e+05 1.652896e+05 8.032888e+04 4.107771e+04
#> 82 3.238040e+05 2.532409e+05 1.687178e+05 9.041409e+04 4.868447e+04
#> 85 2.497318e+05 2.150824e+05 1.584323e+05 9.376020e+04 5.441398e+04
#> 88 1.838858e+05 1.709354e+05 1.378358e+05 8.973250e+04 5.657383e+04
#> 91 1.309027e+05 1.286017e+05 1.120817e+05 7.969296e+04 5.457418e+04
#> 94 9.095004e+04 9.259757e+04 8.598415e+04 6.614895e+04 4.898110e+04
#> 97 6.202908e+04 6.440329e+04 6.279281e+04 5.170512e+04 4.110840e+04
#> 100 4.161020e+04 4.356243e+04 4.399702e+04 3.833422e+04 3.244910e+04
#> 103 2.743164e+04 2.876986e+04 2.976160e+04 2.713111e+04 2.422882e+04
#> 106 1.772916e+04 1.857851e+04 1.952019e+04 1.842830e+04 1.720319e+04
#> 109 1.120070e+04 1.172639e+04 1.244507e+04 1.206221e+04 1.166918e+04
#> 112 6.899131e+03 7.224570e+03 7.720863e+03 7.631053e+03 7.591460e+03
#> 115 4.135267e+03 4.337798e+03 4.661826e+03 4.675610e+03 4.751897e+03
#> 118 2.409200e+03 2.534900e+03 2.738720e+03 2.778246e+03 2.869529e+03
#> 121 1.363643e+03 1.440516e+03 1.564931e+03 1.602435e+03 1.675306e+03
#> 124 7.499384e+02 7.957911e+02 8.696139e+02 8.977949e+02 9.473273e+02
#> 127 4.009253e+02 4.274293e+02 4.699889e+02 4.889348e+02 5.196421e+02
#> 130 2.085239e+02 2.233245e+02 2.471427e+02 2.590072e+02 2.768937e+02
#> 133 1.056152e+02 1.135945e+02 1.265278e+02 1.335699e+02 1.435129e+02
#> 136 5.214957e+01 5.630548e+01 6.312009e+01 6.711696e+01 7.244010e+01
#> 139 2.513227e+01 2.722655e+01 3.071290e+01 3.289366e+01 3.565375e+01
#> 142 1.183544e+01 1.285844e+01 1.459200e+01 1.574005e+01 1.713124e+01
#> 145 5.452856e+00 5.938196e+00 6.777081e+00 7.361915e+00 8.045303e+00
#> 148 2.460698e+00 2.684782e+00 3.080399e+00 3.369397e+00 3.697178e+00
#> 151 1.088886e+00 1.189766e+00 1.371860e+00 1.510699e+00 1.664438e+00
#> 154 4.730158e-01 5.173785e-01 5.993018e-01 6.642787e-01 7.348809e-01
#> 157 2.019291e-01 2.210183e-01 2.570962e-01 2.867755e-01 3.185576e-01
#> 160 8.479965e-02 9.284989e-02 1.084239e-01 1.216780e-01 1.357170e-01
#> 163 3.506578e-02 3.839787e-02 4.499664e-02 5.079289e-02 5.688435e-02
#> 166 1.429122e-02 1.564675e-02 1.839448e-02 2.088045e-02 2.347919e-02
#> 169 5.745592e-03 6.288257e-03 7.414024e-03 8.461151e-03 9.552270e-03
#> 172 2.280570e-03 2.494610e-03 2.948938e-03 3.382665e-03 3.833946e-03
#> 175 8.944177e-04 9.776848e-04 1.158481e-03 1.335356e-03 1.519378e-03
#> 178 3.468592e-04 3.788410e-04 4.498527e-04 5.209472e-04 5.949945e-04
#> 181 1.331043e-04 1.452435e-04 1.727979e-04 2.009926e-04 2.304180e-04
#> 184 5.057673e-05 5.513406e-05 6.570564e-05 7.674851e-05 8.830552e-05
#> 187 1.904183e-05 2.073548e-05 2.474900e-05 2.902424e-05 3.351377e-05
#> 190 7.107692e-06 7.731203e-06 9.240157e-06 1.087763e-05 1.260383e-05
#> 193 2.631813e-06 2.859368e-06 3.421551e-06 4.042495e-06 4.699909e-06
#> 196 9.672626e-07 1.049648e-06 1.257358e-06 1.490652e-06 1.738760e-06
#> 199 3.530062e-07 3.826103e-07 4.587496e-07 5.456526e-07 6.385257e-07
#> 202 1.280034e-07 1.385696e-07 1.662814e-07 1.983964e-07 2.328893e-07
#> 205 4.612287e-08 4.986973e-08 5.988719e-08 7.166688e-08 8.438234e-08
#> 208 1.653253e-08 1.785373e-08 2.145310e-08 2.574478e-08 3.040197e-08
#> 211 5.901790e-09 6.364653e-09 7.650961e-09 9.205051e-09 1.090254e-08
#> 214 2.093504e-09 2.255360e-09 2.712147e-09 3.271252e-09 3.884628e-09
#> 217 7.411311e-10 7.967061e-10 9.580248e-10 1.158433e-09 1.379234e-09
#> 220 2.600599e-10 2.796952e-10 3.368250e-10 4.082281e-10 4.872244e-10
#> 223 9.021979e-11 9.701655e-11 1.172403e-10 1.427960e-10 1.709101e-10
#> 226 3.161015e-11 3.395118e-11 4.085911e-11 4.966608e-11 5.960799e-11
#> 229 9.831337e-12 1.044744e-11 1.265242e-11 1.571475e-11 1.924671e-11
#> 232 4.499429e-12 4.917903e-12 6.011586e-12 7.214126e-12 8.403274e-12
#> 235 1.348740e-12 1.431340e-12 1.760210e-12 2.228155e-12 2.674194e-12
#> 238 3.763470e-13 3.809800e-13 4.457733e-13 5.777599e-13 7.850072e-13
#> year
#> length 16 17 18 19 20
#> 1 6.207964e-58 2.588950e-58 3.782990e-58 3.057346e-58 2.785740e-58
#> 4 7.508479e-18 3.131312e-18 4.575493e-18 3.697833e-18 3.369328e-18
#> 7 5.493852e-04 2.291139e-04 3.347827e-04 2.705654e-04 2.465292e-04
#> 10 2.293419e+02 9.564403e+01 1.397557e+02 1.129481e+02 1.029141e+02
#> 13 2.744849e+04 1.144703e+04 1.672648e+04 1.351804e+04 1.231714e+04
#> 16 6.301223e+04 2.628221e+04 3.839333e+04 3.103099e+04 2.827416e+04
#> 19 1.307231e+04 5.931106e+03 7.350043e+03 6.216120e+03 5.647478e+03
#> 22 2.128252e+04 1.425034e+04 6.070378e+03 7.995423e+03 7.101967e+03
#> 25 4.412690e+04 2.983086e+04 1.252189e+04 1.648437e+04 1.467916e+04
#> 28 2.972331e+04 2.153256e+04 1.000450e+04 1.087482e+04 1.018063e+04
#> 31 1.885618e+04 1.824534e+04 1.142218e+04 6.209879e+03 7.378087e+03
#> 34 2.065035e+04 2.224990e+04 1.559711e+04 6.787700e+03 8.414672e+03
#> 37 1.889480e+04 1.941895e+04 1.528018e+04 7.485239e+03 7.099789e+03
#> 40 1.700879e+04 1.527321e+04 1.438244e+04 8.585295e+03 5.420849e+03
#> 43 1.779966e+04 1.344768e+04 1.379429e+04 9.506960e+03 5.136099e+03
#> 46 1.986898e+04 1.237455e+04 1.209902e+04 9.416712e+03 5.583519e+03
#> 49 2.281332e+04 1.198782e+04 1.016718e+04 8.770291e+03 6.092450e+03
#> 52 2.594481e+04 1.268493e+04 8.912278e+03 7.918984e+03 6.292900e+03
#> 55 2.813185e+04 1.428691e+04 8.529957e+03 7.045840e+03 6.103189e+03
#> 58 2.877960e+04 1.625937e+04 9.018249e+03 6.441848e+03 5.667655e+03
#> 61 2.807742e+04 1.793811e+04 1.017433e+04 6.331594e+03 5.204776e+03
#> 64 2.656501e+04 1.883863e+04 1.156331e+04 6.735098e+03 4.919554e+03
#> 67 2.471902e+04 1.884235e+04 1.269883e+04 7.464816e+03 4.927478e+03
#> 70 2.298607e+04 1.812661e+04 1.324847e+04 8.210675e+03 5.201138e+03
#> 73 2.195599e+04 1.702760e+04 1.313008e+04 8.683476e+03 5.590219e+03
#> 76 2.225525e+04 1.595565e+04 1.249167e+04 8.738383e+03 5.905870e+03
#> 79 2.417512e+04 1.529703e+04 1.161944e+04 8.410712e+03 6.014097e+03
#> 82 2.736019e+04 1.525885e+04 1.081152e+04 7.860783e+03 5.884264e+03
#> 85 3.083427e+04 1.574385e+04 1.025379e+04 7.272771e+03 5.574600e+03
#> 88 3.337806e+04 1.636957e+04 9.949342e+03 6.764204e+03 5.176736e+03
#> 91 3.403168e+04 1.664236e+04 9.739468e+03 6.347408e+03 4.759764e+03
#> 94 3.244006e+04 1.618184e+04 9.402581e+03 5.952150e+03 4.344773e+03
#> 97 2.889353e+04 1.486785e+04 8.770175e+03 5.485442e+03 3.915295e+03
#> 100 2.411106e+04 1.284946e+04 7.797326e+03 4.889254e+03 3.446800e+03
#> 103 1.892782e+04 1.044387e+04 6.563001e+03 4.167140e+03 2.932364e+03
#> 106 1.404095e+04 8.000207e+03 5.218552e+03 3.375081e+03 2.390975e+03
#> 109 9.885746e+03 5.794112e+03 3.922518e+03 2.591545e+03 1.859226e+03
#> 112 6.633008e+03 3.981707e+03 2.792982e+03 1.886823e+03 1.375852e+03
#> 115 4.256958e+03 2.605645e+03 1.889246e+03 1.304684e+03 9.688560e+02
#> 118 2.621795e+03 1.629415e+03 1.217787e+03 8.588542e+02 6.500144e+02
#> 121 1.554056e+03 9.768595e+02 7.503710e+02 5.397150e+02 4.163114e+02
#> 124 8.888233e+02 5.631494e+02 4.433243e+02 3.246974e+02 2.551353e+02
#> 127 4.916270e+02 3.130453e+02 2.518606e+02 1.875376e+02 1.499948e+02
#> 130 2.635223e+02 1.682218e+02 1.379644e+02 1.042738e+02 8.480928e+01
#> 133 1.371413e+02 8.759026e+01 7.305279e+01 5.595789e+01 4.623345e+01
#> 136 6.941155e+01 4.428435e+01 3.747878e+01 2.905371e+01 2.435883e+01
#> 139 3.422135e+01 2.178277e+01 1.867045e+01 1.462792e+01 1.243174e+01
#> 142 1.645926e+01 1.044299e+01 9.049333e+00 7.156884e+00 6.159055e+00
#> 145 7.733567e+00 4.887726e+00 4.275419e+00 3.409424e+00 2.968082e+00
#> 148 3.554532e+00 2.236798e+00 1.972376e+00 1.584342e+00 1.393906e+00
#> 151 1.600168e+00 1.002318e+00 8.899054e-01 7.193928e-01 6.390710e-01
#> 154 7.063984e-01 4.403740e-01 3.932658e-01 3.196828e-01 2.865054e-01
#> 157 3.061475e-01 1.899394e-01 1.704575e-01 1.392343e-01 1.257902e-01
#> 160 1.304009e-01 8.051763e-02 7.255906e-02 5.951693e-02 5.416364e-02
#> 163 5.464470e-02 3.358327e-02 3.036916e-02 2.500081e-02 2.290292e-02
#> 166 2.255071e-02 1.379607e-02 1.251194e-02 1.033240e-02 9.522083e-03
#> 169 9.173233e-03 5.587350e-03 5.079488e-03 4.205922e-03 3.897006e-03
#> 172 3.681459e-03 2.232889e-03 2.033960e-03 1.688033e-03 1.571646e-03
#> 175 1.458875e-03 8.812697e-04 8.040600e-04 6.686173e-04 6.252279e-04
#> 178 5.712986e-04 3.437790e-04 3.140718e-04 2.616021e-04 2.455778e-04
#> 181 2.212500e-04 1.326498e-04 1.213143e-04 1.011896e-04 9.532077e-05
#> 184 8.479868e-05 5.066409e-05 4.637284e-05 3.872603e-05 3.659227e-05
#> 187 3.218658e-05 1.916691e-05 1.755459e-05 1.467444e-05 1.390362e-05
#> 190 1.210650e-05 7.186834e-06 6.585377e-06 5.509484e-06 5.232568e-06
#> 193 4.515266e-06 2.672494e-06 2.449649e-06 2.050837e-06 1.951833e-06
#> 196 1.670779e-06 9.861297e-07 9.040994e-07 7.573332e-07 7.220826e-07
#> 199 6.137061e-07 3.612661e-07 3.312505e-07 2.776031e-07 2.650959e-07
#> 202 2.238889e-07 1.314617e-07 1.205450e-07 1.010595e-07 9.663499e-08
#> 205 8.114787e-08 4.753914e-08 4.359034e-08 3.655514e-08 3.499463e-08
#> 208 2.924452e-08 1.709316e-08 1.567186e-08 1.314568e-08 1.259552e-08
#> 211 1.048977e-08 6.115212e-09 5.604703e-09 4.701138e-09 4.508105e-09
#> 214 3.738661e-09 2.177271e-09 1.996113e-09 1.673677e-09 1.605648e-09
#> 217 1.328906e-09 7.725111e-10 7.054651e-10 5.919622e-10 5.682750e-10
#> 220 4.689847e-10 2.720229e-10 2.495767e-10 2.094659e-10 2.013470e-10
#> 223 1.645986e-10 9.488571e-11 8.716214e-11 7.364027e-11 7.083335e-11
#> 226 5.753792e-11 3.313102e-11 3.051036e-11 2.574274e-11 2.430392e-11
#> 229 1.857034e-11 1.058881e-11 9.623913e-12 8.124010e-12 7.931812e-12
#> 232 8.020693e-12 4.707172e-12 4.277282e-12 3.694356e-12 3.739350e-12
#> 235 2.555733e-12 1.446740e-12 1.354185e-12 1.089725e-12 1.118346e-12
#> 238 7.768834e-13 4.268797e-13 3.768945e-13 3.214576e-13 2.793957e-13
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604e1b49718>
#>
Za_dev <- c(-0.2, -0.1, 0, 0.1, 0.2, 0.3, 0.3, 0.2, 0.1, 0)
Zy_dev <- c(-0.2, -0.2, -0.2, -0.2, -0.2, 2, 2, 2, 2, 0.2, 0.2, 0.2, 0.2, 0.2, 0, 0, 0, 0, 0, 0)
Z_mat <- outer(Za_dev, Zy_dev, "+") + 0.5
sim_abundance(ages = 1:10, years = 1:20,
Z = sim_Z(log_mean = log(Z_mat), plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7 8
#> 56260827 42113066 54678673 59522630 112510939 134861535 149135784 60087061
#> 9 10 11 12 13 14 15 16
#> 54365808 67999236 62810533 79198670 69699480 78082848 67861783 136620906
#> 17 18 19 20
#> 109714986 296650529 200821568 185853193
#>
#> $N0
#> [1] 56260827.2 47412169.5 37216003.6 27248595.1 16677794.3 8488085.7
#> [7] 3908345.3 1879683.9 978165.2 576386.0
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.1711196 0.1709674 0.05848874 0.06846032 0.04629478 2.642440 3.694580
#> 2 0.2421401 0.2106784 0.13658076 0.15642639 0.11574394 3.683988 4.492350
#> 3 0.3117369 0.3116031 0.21188208 0.29273376 0.19543383 5.267788 4.420430
#> 4 0.4909238 0.4113885 0.34656155 0.37477283 0.23429705 4.642790 3.730027
#> 5 0.6754147 0.4289961 0.33145755 0.46132132 0.19941167 4.602621 2.999988
#> 6 0.7755494 0.6233966 0.32960689 0.51744524 0.27775363 5.762127 2.797621
#> 7 0.7320105 0.5358708 0.38902425 0.67403517 0.27778395 5.078557 2.816277
#> 8 0.6531803 0.4931648 0.34369805 0.36594055 0.19681282 3.608743 3.040460
#> 9 0.5289011 0.3786906 0.23620317 0.34403794 0.18845659 3.343724 3.454208
#> 10 0.2689211 0.2636980 0.17587197 0.17828303 0.13226137 3.513397 4.197810
#> year
#> age 8 9 10 11 12 13 14
#> 1 1.700759 2.149901 0.7918287 0.5014649 0.5173920 0.4084648 0.2865161
#> 2 2.402146 2.850332 1.1255237 0.5987896 0.4891913 0.5527278 0.2729352
#> 3 2.418495 3.166064 1.0625389 0.6399733 0.4352818 0.4614901 0.2856061
#> 4 2.434635 3.919311 1.9775352 0.8117454 0.3941633 0.6848062 0.3857433
#> 5 2.329370 2.800955 1.6944566 0.9428832 0.4609988 0.6337987 0.3851592
#> 6 1.934433 2.655401 1.6746258 1.0624519 0.3879603 0.5055578 0.4117065
#> 7 1.539010 1.830865 1.4456075 1.2747210 0.5693194 0.5926270 0.6343457
#> 8 1.277334 1.575375 1.0058104 1.6029575 0.4682149 0.5940478 0.5934715
#> 9 1.415326 1.933909 1.0440390 1.4918103 0.4462054 0.6552721 0.4885900
#> 10 1.619039 1.914912 1.0948783 1.6481083 0.3950548 0.6402296 0.6059490
#> year
#> age 15 16 17 18 19 20
#> 1 0.1616054 0.1612132 0.3762921 0.3130485 0.2162559 0.2154540
#> 2 0.1495650 0.1604455 0.2911497 0.3639653 0.2730315 0.2828207
#> 3 0.1753502 0.2555181 0.3253443 0.4208324 0.3244515 0.3136097
#> 4 0.2807379 0.4935449 0.6362271 0.5578474 0.3851220 0.3786038
#> 5 0.2660358 0.6231719 0.9085400 0.8443107 0.5460648 0.4770608
#> 6 0.2975203 0.7593481 0.9142969 0.7890089 0.5362484 0.6836305
#> 7 0.4351757 0.9119605 0.9401969 1.1848676 0.5490879 0.7385825
#> 8 0.3945882 0.8979243 1.0416689 0.9666516 0.5381891 0.7033663
#> 9 0.3596727 0.5665884 0.6969949 0.7457038 0.3801032 0.3505071
#> 10 0.3548925 0.5060196 0.4249617 0.4936669 0.2157959 0.3021304
#>
#> $N
#> year
#> age 1 2 3 4 5 6
#> 1 56260827.2 42113065.5 54678673.2 59522629.5 112510939 134861535
#> 2 47412169.5 47412169.5 35494958.7 51572315.4 55584048 107420998
#> 3 37216003.6 37216003.6 38405493.7 30963525.6 44104359 49508893
#> 4 27248595.1 27248595.1 27252240.3 31072352.4 23105627 36274855
#> 5 16677794.3 16677794.3 18058446.2 19270475.9 21360547 18279480
#> 6 8488085.7 8488085.7 10859954.2 12963736.6 12149073 17498828
#> 7 3908345.3 3908345.3 4550635.4 7810548.7 7726923 9202721
#> 8 1879683.9 1879683.9 2287005.3 3084046.7 3980630 5852839
#> 9 978165.2 978165.2 1147905.3 1621813.9 2138922 3269468
#> 10 576386.0 576386.0 669805.9 906409.2 1149707 1771533
#> year
#> age 7 8 9 10 11
#> 1 149135783.97 60087061.301 5.436581e+07 6.799924e+07 6.281053e+07
#> 2 9600434.19 3707200.076 1.096859e+07 6.333384e+06 3.080472e+07
#> 3 2698692.56 107470.166 3.355887e+05 6.342599e+05 2.055072e+06
#> 4 255218.51 32462.732 9.570814e+03 1.415152e+04 2.191858e+05
#> 5 349355.38 6123.250 2.844701e+03 1.900263e+02 1.958711e+03
#> 6 183261.39 17393.581 5.961418e+02 1.728212e+02 3.490764e+01
#> 7 55023.61 11170.681 2.513480e+03 4.189126e+01 3.238295e+01
#> 8 57322.73 3291.968 2.397155e+03 4.028475e+02 9.869701e+00
#> 9 158529.31 2740.764 9.177331e+02 4.960432e+02 1.473407e+02
#> 10 115429.30 5011.483 6.655849e+02 1.326876e+02 1.746221e+02
#> year
#> age 12 13 14 15 16
#> 1 7.919867e+07 6.969948e+07 7.808285e+07 6.786178e+07 1.366209e+08
#> 2 3.804075e+07 4.720820e+07 4.632714e+07 5.863046e+07 5.773523e+07
#> 3 1.692646e+07 2.332362e+07 2.716256e+07 3.526154e+07 5.048566e+07
#> 4 1.083653e+06 1.095281e+07 1.470190e+07 2.041426e+07 2.959018e+07
#> 5 9.733654e+04 7.306464e+05 5.522276e+06 9.996481e+06 1.541738e+07
#> 6 7.629244e+02 6.138562e+04 3.876609e+05 3.757038e+06 7.661420e+06
#> 7 1.206434e+01 5.175979e+02 3.702591e+04 2.568326e+05 2.790192e+06
#> 8 9.051323e+00 6.827335e+00 2.861659e+02 1.963418e+04 1.662095e+05
#> 9 1.986774e+00 5.667205e+00 3.769290e+00 1.580798e+02 1.323261e+04
#> 10 3.314651e+01 1.271639e+00 2.942984e+00 2.312425e+00 1.103247e+02
#> year
#> age 17 18 19 20
#> 1 1.097150e+08 296650529.37 200821568.3 185853193.4
#> 2 1.162795e+08 75308561.06 216915153.4 161767619.0
#> 3 4.917681e+07 86907738.95 52333071.1 165087357.8
#> 4 3.910190e+07 35519356.20 57054941.0 37832822.9
#> 5 1.806358e+07 20696074.06 20332698.4 38818335.2
#> 6 8.267431e+06 7281652.12 8896280.6 11777200.5
#> 7 3.585326e+06 3313572.57 3308016.8 5203777.8
#> 8 1.120920e+06 1400252.30 1013246.3 1910301.2
#> 9 6.771614e+04 395533.85 532592.2 591537.7
#> 10 7.508949e+03 33728.04 187641.4 364181.7
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 3.418305e-55 2.558713e-55 3.322176e-55 3.616486e-55 6.835958e-55
#> 4 4.134410e-15 3.094741e-15 4.018143e-15 4.374108e-15 8.268032e-15
#> 7 3.025092e-01 2.264380e-01 2.940021e-01 3.200476e-01 6.049607e-01
#> 10 1.262830e+05 9.452698e+04 1.227317e+05 1.336045e+05 2.525420e+05
#> 13 1.511402e+07 1.131334e+07 1.468899e+07 1.599028e+07 3.022517e+07
#> 16 3.469545e+07 2.597245e+07 3.371818e+07 3.670718e+07 6.937846e+07
#> 19 7.057385e+06 5.506635e+06 6.660115e+06 7.493056e+06 1.337651e+07
#> 22 1.014396e+07 1.010269e+07 7.631931e+06 1.102819e+07 1.202818e+07
#> 25 2.104342e+07 2.104312e+07 1.581183e+07 2.283796e+07 2.467400e+07
#> 28 1.482549e+07 1.482549e+07 1.176557e+07 1.552598e+07 1.740919e+07
#> 31 1.149629e+07 1.149629e+07 1.104367e+07 1.033674e+07 1.354946e+07
#> 34 1.375493e+07 1.375493e+07 1.407291e+07 1.182446e+07 1.597421e+07
#> 37 1.259463e+07 1.259463e+07 1.288309e+07 1.160477e+07 1.373977e+07
#> 40 1.083819e+07 1.083819e+07 1.100007e+07 1.125205e+07 1.064194e+07
#> 43 9.940775e+06 9.940775e+06 1.012750e+07 1.110203e+07 9.497288e+06
#> 46 8.693162e+06 8.693162e+06 9.044891e+06 1.003543e+07 8.976335e+06
#> 49 7.225089e+06 7.225089e+06 7.780943e+06 8.646374e+06 8.360488e+06
#> 52 5.864863e+06 5.864863e+06 6.569833e+06 7.438170e+06 7.488167e+06
#> 55 4.629003e+06 4.629003e+06 5.376464e+06 6.349232e+06 6.406575e+06
#> 58 3.546779e+06 3.546779e+06 4.228745e+06 5.293359e+06 5.309062e+06
#> 61 2.657159e+06 2.657159e+06 3.208102e+06 4.267838e+06 4.312822e+06
#> 64 1.958572e+06 1.958572e+06 2.367549e+06 3.310201e+06 3.434544e+06
#> 67 1.424821e+06 1.424821e+06 1.714759e+06 2.469746e+06 2.667158e+06
#> 70 1.022511e+06 1.022511e+06 1.223952e+06 1.778696e+06 2.009015e+06
#> 73 7.200177e+05 7.200177e+05 8.579341e+05 1.239902e+06 1.459917e+06
#> 76 4.927785e+05 4.927785e+05 5.849725e+05 8.355287e+05 1.016993e+06
#> 79 3.241847e+05 3.241847e+05 3.835667e+05 5.413134e+05 6.744369e+05
#> 82 2.029963e+05 2.029963e+05 2.394538e+05 3.346798e+05 4.231500e+05
#> 85 1.201332e+05 1.201332e+05 1.413237e+05 1.961478e+05 2.500588e+05
#> 88 6.692397e+04 6.692397e+04 7.854408e+04 1.084810e+05 1.388632e+05
#> 91 3.504799e+04 3.504799e+04 4.105317e+04 5.650316e+04 7.244206e+04
#> 94 1.726584e+04 1.726584e+04 2.019228e+04 2.771954e+04 3.554532e+04
#> 97 8.017058e+03 8.017058e+03 9.364142e+03 1.282889e+04 1.644193e+04
#> 100 3.518532e+03 3.518532e+03 4.105685e+03 5.615506e+03 7.190850e+03
#> 103 1.464327e+03 1.464327e+03 1.707363e+03 2.331987e+03 2.983310e+03
#> 106 5.798851e+02 5.798851e+02 6.757176e+02 9.218275e+02 1.178163e+03
#> 109 2.192720e+02 2.192720e+02 2.553864e+02 3.480463e+02 4.444295e+02
#> 112 7.944038e+01 7.944038e+01 9.248903e+01 1.259341e+02 1.606778e+02
#> 115 2.766546e+01 2.766546e+01 3.219988e+01 4.380991e+01 5.585602e+01
#> 118 9.290124e+00 9.290124e+00 1.081013e+01 1.469799e+01 1.872745e+01
#> 121 3.016896e+00 3.016896e+00 3.509802e+00 4.769324e+00 6.073452e+00
#> 124 9.500361e-01 9.500361e-01 1.105073e+00 1.500880e+00 1.910354e+00
#> 127 2.908473e-01 2.908473e-01 3.382652e-01 4.592204e-01 5.842599e-01
#> 130 8.676818e-02 8.676818e-02 1.009029e-01 1.369310e-01 1.741517e-01
#> 133 2.527996e-02 2.527996e-02 2.939536e-02 3.987794e-02 5.070146e-02
#> 136 7.207630e-03 7.207630e-03 8.380313e-03 1.136551e-02 1.444629e-02
#> 139 2.014754e-03 2.014754e-03 2.342398e-03 3.175995e-03 4.035924e-03
#> 142 5.531167e-04 5.531167e-04 6.430288e-04 8.716741e-04 1.107455e-03
#> 145 1.493737e-04 1.493737e-04 1.736466e-04 2.353461e-04 2.989506e-04
#> 148 3.974024e-05 3.974024e-05 4.619601e-05 6.259963e-05 7.950510e-05
#> 151 1.043015e-05 1.043015e-05 1.212409e-05 1.642677e-05 2.086001e-05
#> 154 2.703779e-06 2.703779e-06 3.142785e-06 4.257571e-06 5.405931e-06
#> 157 6.932765e-07 6.932765e-07 8.058274e-07 1.091541e-06 1.385811e-06
#> 160 1.759328e-07 1.759328e-07 2.044875e-07 2.769641e-07 3.515972e-07
#> 163 4.421055e-08 4.421055e-08 5.138485e-08 6.958928e-08 8.833196e-08
#> 166 1.109578e-08 1.109578e-08 1.289666e-08 1.746749e-08 2.217427e-08
#> 169 2.687651e-09 2.687651e-09 3.123263e-09 4.226529e-09 5.361012e-09
#> 172 7.039087e-10 7.039087e-10 8.179974e-10 1.106948e-09 1.404074e-09
#> 175 1.279834e-10 1.279834e-10 1.487268e-10 2.012633e-10 2.552863e-10
#> 178 6.399170e-11 6.399170e-11 7.436340e-11 1.006316e-10 1.276431e-10
#> year
#> length 6 7 8 9 10
#> 1 8.193940e-55 9.061217e-55 3.650780e-55 3.303167e-55 4.131509e-55
#> 4 9.910499e-15 1.095946e-14 4.415586e-15 3.995151e-15 4.997024e-15
#> 7 7.251378e-01 8.018891e-01 3.230825e-01 2.923198e-01 3.656255e-01
#> 10 3.027102e+05 3.347501e+05 1.348714e+05 1.220295e+05 1.526311e+05
#> 13 3.622948e+07 4.006414e+07 1.614191e+07 1.460494e+07 1.826745e+07
#> 16 8.316674e+07 9.195320e+07 3.704808e+07 3.352164e+07 4.192683e+07
#> 19 1.680007e+07 1.652725e+07 6.655836e+06 6.165119e+06 7.572426e+06
#> 22 2.300107e+07 2.455312e+06 9.553100e+05 2.466534e+06 1.531023e+06
#> 25 4.748815e+07 4.237650e+06 1.631325e+06 4.824085e+06 2.788668e+06
#> 28 3.138889e+07 2.695874e+06 9.820211e+05 2.906620e+06 1.706114e+06
#> 31 1.798934e+07 1.201084e+06 2.500210e+05 7.434092e+05 5.299108e+05
#> 34 1.859974e+07 9.785112e+05 6.239677e+04 1.874663e+05 2.560997e+05
#> 37 1.675783e+07 6.878085e+05 3.171601e+04 8.674660e+04 1.570622e+05
#> 40 1.431193e+07 3.368468e+05 1.871951e+04 3.535619e+04 6.542459e+04
#> 43 1.289974e+07 1.718331e+05 1.213482e+04 1.125475e+04 1.968837e+04
#> 46 1.106371e+07 1.320119e+05 8.321610e+03 3.840212e+03 5.498272e+03
#> 49 9.332780e+06 1.244932e+05 6.179710e+03 1.816170e+03 1.696724e+03
#> 52 8.228744e+06 1.130331e+05 5.670750e+03 1.136079e+03 5.551932e+02
#> 55 7.417607e+06 9.398831e+04 5.887484e+03 8.972830e+02 2.016449e+02
#> 58 6.542577e+06 7.443412e+04 5.869492e+03 8.803150e+02 1.132018e+02
#> 61 5.546612e+06 6.057462e+04 5.315612e+03 9.513018e+02 1.104461e+02
#> 64 4.533284e+06 5.437804e+04 4.434730e+03 9.964731e+02 1.329590e+02
#> 67 3.598046e+06 5.380739e+04 3.535900e+03 9.568806e+02 1.554062e+02
#> 70 2.775887e+06 5.455984e+04 2.789580e+03 8.349042e+02 1.633598e+02
#> 73 2.068205e+06 5.269662e+04 2.207549e+03 6.666009e+02 1.519611e+02
#> 76 1.473643e+06 4.663164e+04 1.729575e+03 4.915230e+02 1.254526e+02
#> 79 9.950786e+05 3.731820e+04 1.306611e+03 3.370472e+02 9.269521e+01
#> 82 6.326463e+05 2.699895e+04 9.297750e+02 2.158238e+02 6.188781e+01
#> 85 3.773191e+05 1.774314e+04 6.147007e+02 1.293313e+02 3.767900e+01
#> 88 2.108447e+05 1.066122e+04 3.756146e+02 7.262267e+01 2.109494e+01
#> 91 1.104554e+05 5.897514e+03 2.121881e+02 3.826339e+01 1.094255e+01
#> 94 5.435121e+04 3.023600e+03 1.111687e+02 1.895048e+01 5.294926e+00
#> 97 2.518974e+04 1.445796e+03 5.426343e+01 8.843353e+00 2.404575e+00
#> 100 1.103166e+04 6.485596e+02 2.480261e+01 3.899634e+00 1.030439e+00
#> 103 4.581209e+03 2.744009e+02 1.067031e+01 1.630191e+00 4.187416e-01
#> 106 1.810483e+03 1.100412e+02 4.342045e+00 6.482403e-01 1.620831e-01
#> 109 6.833147e+02 4.201682e+01 1.679094e+00 2.460440e-01 5.999929e-02
#> 112 2.471425e+02 1.533877e+01 6.197322e-01 8.944241e-02 2.131881e-02
#> 115 8.594014e+01 5.374130e+00 2.191910e-01 3.124301e-02 7.295278e-03
#> 118 2.882108e+01 1.813389e+00 7.456443e-02 1.051957e-02 2.411649e-03
#> 121 9.348699e+00 5.911916e-01 2.447936e-02 3.424201e-03 7.723298e-04
#> 124 2.941014e+00 1.867649e-01 7.779893e-03 1.080527e-03 2.402335e-04
#> 127 8.995900e-01 5.732752e-02 2.400408e-03 3.313945e-04 7.275188e-05
#> 130 2.681710e-01 1.713987e-02 7.208800e-04 9.902072e-05 2.149778e-05
#> 133 7.808043e-02 5.002848e-03 2.112233e-04 2.888954e-05 6.211092e-06
#> 136 2.224896e-02 1.428570e-03 6.051591e-05 8.246683e-06 1.757872e-06
#> 139 6.216171e-03 3.998498e-04 1.698697e-05 2.307626e-06 4.882146e-07
#> 142 1.705803e-03 1.098939e-04 4.680354e-06 6.341024e-07 1.332729e-07
#> 145 4.604909e-04 2.970585e-05 1.267921e-06 1.713822e-07 3.581242e-08
#> 148 1.224711e-04 7.909594e-06 3.382427e-07 4.562772e-08 9.486086e-09
#> 151 3.213417e-05 2.077381e-06 8.898398e-08 1.198280e-08 2.480097e-09
#> 154 8.327921e-06 5.388724e-07 2.311584e-08 3.107934e-09 6.407338e-10
#> 157 2.134896e-06 1.382221e-07 5.936767e-09 7.972978e-10 1.638033e-10
#> 160 5.416673e-07 3.510025e-08 1.509198e-09 2.024068e-10 4.146311e-11
#> 163 1.360864e-07 8.824741e-09 3.799164e-10 5.088777e-11 1.038804e-11
#> 166 3.416152e-08 2.213789e-09 9.519426e-11 1.276589e-11 2.614462e-12
#> 169 8.260548e-09 5.382395e-10 2.336823e-11 3.103580e-12 6.187139e-13
#> 172 2.163477e-09 1.409675e-10 6.120250e-12 8.128424e-13 1.620441e-13
#> 175 3.933594e-10 2.563045e-11 1.112773e-12 1.477895e-13 2.946257e-14
#> 178 1.966797e-10 1.281523e-11 5.563864e-13 7.389476e-14 1.473128e-14
#> year
#> length 11 12 13 14 15
#> 1 3.816253e-55 4.811966e-55 4.234813e-55 4.744171e-55 4.123158e-55
#> 4 4.615725e-15 5.820031e-15 5.121969e-15 5.738033e-15 4.986923e-15
#> 7 3.377263e-01 4.258438e-01 3.747675e-01 4.198441e-01 3.648864e-01
#> 10 1.409845e+05 1.777693e+05 1.564474e+05 1.752647e+05 1.523225e+05
#> 13 1.687355e+07 2.127609e+07 1.872421e+07 2.097633e+07 1.823053e+07
#> 16 3.873130e+07 4.883671e+07 4.298121e+07 4.814996e+07 4.184985e+07
#> 19 7.463348e+06 9.395590e+06 8.526574e+06 9.428935e+06 8.539697e+06
#> 22 6.665111e+06 8.236958e+06 1.013884e+07 9.978294e+06 1.253807e+07
#> 25 1.355232e+07 1.681422e+07 2.087832e+07 2.051217e+07 2.596385e+07
#> 28 8.233325e+06 1.107544e+07 1.389241e+07 1.390353e+07 1.765212e+07
#> 31 2.342776e+06 6.183326e+06 8.242742e+06 9.081714e+06 1.170334e+07
#> 34 9.059407e+05 5.967212e+06 8.520019e+06 9.933847e+06 1.293343e+07
#> 37 5.359742e+05 4.226008e+06 7.053729e+06 8.488285e+06 1.120626e+07
#> 40 2.547455e+05 1.919575e+06 4.984375e+06 6.426554e+06 8.759590e+06
#> 43 1.103278e+05 7.233941e+05 3.588383e+06 5.162736e+06 7.363466e+06
#> 46 5.031412e+04 2.954024e+05 2.282488e+06 3.912533e+06 5.974676e+06
#> 49 2.121911e+04 1.295731e+05 1.168189e+06 2.663748e+06 4.546776e+06
#> 52 7.406871e+03 5.511188e+04 5.048728e+05 1.661286e+06 3.321716e+06
#> 55 2.147238e+03 2.232839e+04 2.026078e+05 9.383692e+05 2.296508e+06
#> 58 5.534030e+02 8.567394e+03 8.043650e+04 4.713596e+05 1.468292e+06
#> 61 1.467126e+02 3.032624e+03 3.177028e+04 2.122771e+05 8.580484e+05
#> 64 5.698346e+01 9.710578e+02 1.223006e+04 8.826055e+04 4.561198e+05
#> 67 4.423277e+01 2.830827e+02 4.506784e+03 3.496666e+04 2.206938e+05
#> 70 4.797994e+01 7.891526e+01 1.571726e+03 1.345375e+04 9.790629e+04
#> 73 5.136845e+01 2.428282e+01 5.152668e+02 5.044228e+03 4.033248e+04
#> 76 4.940745e+01 1.047058e+01 1.585808e+02 1.831767e+03 1.565662e+04
#> 79 4.215070e+01 6.506729e+00 4.608737e+01 6.391912e+02 5.802327e+03
#> 82 3.205701e+01 4.614026e+00 1.284055e+01 2.131223e+02 2.071628e+03
#> 85 2.192460e+01 3.183492e+00 3.522925e+00 6.774741e+01 7.159320e+02
#> 88 1.360745e+01 2.033194e+00 9.896810e-01 2.055275e+01 2.398252e+02
#> 91 7.730200e+00 1.191727e+00 2.969238e-01 5.974391e+00 7.785015e+01
#> 94 4.051387e+00 6.430001e-01 9.735496e-02 1.675379e+00 2.447297e+01
#> 97 1.973039e+00 3.212675e-01 3.448397e-02 4.575898e-01 7.448544e+00
#> 100 8.987030e-01 1.496028e-01 1.275160e-02 1.232074e-01 2.195858e+00
#> 103 3.851341e-01 6.533162e-02 4.758863e-03 3.315515e-02 6.277312e-01
#> 106 1.561178e-01 2.691033e-02 1.752508e-03 9.035377e-03 1.743074e-01
#> 109 6.015254e-02 1.051035e-02 6.293635e-04 2.517417e-03 4.711410e-02
#> 112 2.212802e-02 3.911130e-03 2.193094e-04 7.193862e-04 1.242580e-02
#> 115 7.803179e-03 1.392735e-03 7.405722e-05 2.101163e-04 3.205934e-03
#> 118 2.647525e-03 4.764697e-04 2.424817e-05 6.223312e-05 8.113169e-04
#> 121 8.671757e-04 1.571677e-04 7.709338e-06 1.852193e-05 2.019180e-04
#> 124 2.750461e-04 5.015006e-05 2.384333e-06 5.495132e-06 4.954674e-05
#> 127 8.471380e-05 1.552566e-05 7.187279e-07 1.615625e-06 1.201583e-05
#> 130 2.540202e-05 4.676000e-06 2.115652e-07 4.689645e-07 2.886367e-06
#> 133 7.433093e-06 1.373461e-06 6.092627e-08 1.341095e-07 6.880664e-07
#> 136 2.127133e-06 3.943246e-07 1.719598e-08 3.775376e-08 1.630799e-07
#> 139 5.964898e-07 1.108873e-07 4.764575e-09 1.046500e-08 3.850298e-08
#> 142 1.642042e-07 3.059978e-08 1.297926e-09 2.853051e-09 9.036149e-09
#> 145 4.444923e-08 8.300684e-09 3.481902e-10 7.702325e-10 2.141485e-09
#> 148 1.184975e-08 2.216949e-09 9.207277e-11 2.034091e-10 4.955327e-10
#> 151 3.115560e-09 5.838191e-10 2.403970e-11 5.332785e-11 1.173456e-10
#> 154 8.089389e-10 1.517966e-10 6.203013e-12 1.378387e-11 2.562824e-11
#> 157 2.076571e-10 3.901415e-11 1.584367e-12 3.551480e-12 7.356435e-12
#> 160 5.277127e-11 9.924665e-12 4.006149e-13 8.939469e-13 1.253502e-12
#> 163 1.327824e-11 2.500266e-12 1.002657e-13 2.247836e-13 2.971729e-13
#> 166 3.328496e-12 6.260415e-13 2.525902e-14 5.638221e-14 7.874500e-14
#> 169 8.142516e-13 1.545601e-13 5.929573e-15 1.372295e-14 1.078269e-14
#> 172 2.132564e-13 4.048003e-14 1.552983e-15 3.594105e-15 2.824038e-15
#> 175 3.877388e-14 7.360005e-15 2.823606e-16 6.534736e-16 5.134615e-16
#> 178 1.938694e-14 3.680002e-15 1.411803e-16 3.267368e-16 2.567307e-16
#> year
#> length 16 17 18 19 20
#> 1 8.300836e-55 6.666081e-55 1.802394e-54 1.220155e-54 1.129210e-54
#> 4 1.003979e-14 8.062567e-15 2.179980e-14 1.475767e-14 1.365770e-14
#> 7 7.345978e-01 5.899272e-01 1.595062e+00 1.079799e+00 9.993151e-01
#> 10 3.066592e+05 2.462662e+05 6.658617e+05 4.507640e+05 4.171660e+05
#> 13 3.670212e+07 2.947406e+07 7.969280e+07 5.394911e+07 4.992798e+07
#> 16 8.424412e+07 6.766359e+07 1.829153e+08 1.238516e+08 1.146144e+08
#> 19 1.605964e+07 1.421013e+07 3.393074e+07 2.608671e+07 2.341017e+07
#> 22 1.255178e+07 2.479163e+07 1.671985e+07 4.623270e+07 3.459663e+07
#> 25 2.565483e+07 5.137943e+07 3.358088e+07 9.563159e+07 7.200642e+07
#> 28 1.837887e+07 3.369877e+07 2.530113e+07 6.037459e+07 5.297910e+07
#> 31 1.516469e+07 1.846363e+07 2.457752e+07 2.537595e+07 4.770155e+07
#> 34 1.835210e+07 1.864819e+07 3.088303e+07 2.102352e+07 5.774901e+07
#> 37 1.608599e+07 1.704759e+07 2.564511e+07 2.019624e+07 4.486722e+07
#> 40 1.266659e+07 1.495615e+07 1.783442e+07 1.974124e+07 2.658849e+07
#> 43 1.076831e+07 1.354785e+07 1.378416e+07 1.866156e+07 1.818336e+07
#> 46 8.917606e+06 1.120520e+07 1.116716e+07 1.501019e+07 1.552668e+07
#> 49 7.049297e+06 8.589029e+06 8.816719e+06 1.078029e+07 1.378078e+07
#> 52 5.479792e+06 6.463999e+06 6.722747e+06 7.582897e+06 1.134699e+07
#> 55 4.151933e+06 4.811019e+06 4.906534e+06 5.365774e+06 8.450218e+06
#> 58 3.007773e+06 3.501707e+06 3.456163e+06 3.765343e+06 5.858458e+06
#> 61 2.056053e+06 2.473937e+06 2.394870e+06 2.587847e+06 3.940016e+06
#> 64 1.311489e+06 1.682002e+06 1.643939e+06 1.734383e+06 2.627463e+06
#> 67 7.737937e+05 1.089288e+06 1.108908e+06 1.134994e+06 1.737543e+06
#> 70 4.204537e+05 6.660858e+05 7.252329e+05 7.284094e+05 1.130530e+06
#> 73 2.104174e+05 3.823297e+05 4.544954e+05 4.597933e+05 7.192013e+05
#> 76 9.734678e+04 2.054043e+05 2.707288e+05 2.848622e+05 4.456752e+05
#> 79 4.190084e+04 1.032665e+05 1.525654e+05 1.719623e+05 2.680898e+05
#> 82 1.691783e+04 4.868284e+04 8.117333e+04 1.001782e+05 1.558131e+05
#> 85 6.465229e+03 2.160149e+04 4.077218e+04 5.582398e+04 8.700509e+04
#> 88 2.359022e+03 9.065750e+03 1.935736e+04 2.957162e+04 4.642586e+04
#> 91 8.281357e+02 3.618516e+03 8.705264e+03 1.484248e+04 2.357629e+04
#> 94 2.813769e+02 1.381438e+03 3.718189e+03 7.052479e+03 1.136815e+04
#> 97 9.291941e+01 5.071915e+02 1.512817e+03 3.175091e+03 5.201715e+03
#> 100 2.990069e+01 1.799600e+02 5.881588e+02 1.357063e+03 2.260426e+03
#> 103 9.389436e+00 6.196300e+01 2.191833e+02 5.520743e+02 9.345264e+02
#> 106 2.879516e+00 2.077107e+01 7.853140e+01 2.143934e+02 3.684622e+02
#> 109 8.628712e-01 6.795428e+00 2.713101e+01 7.971772e+01 1.389281e+02
#> 112 2.527819e-01 2.173550e+00 9.062960e+00 2.846683e+01 5.023969e+01
#> 115 7.244512e-02 6.805502e-01 2.934779e+00 9.791292e+00 1.747588e+01
#> 118 2.032858e-02 2.087807e-01 9.234753e-01 3.252975e+00 5.864292e+00
#> 121 5.590980e-03 6.280424e-02 2.830007e-01 1.046698e+00 1.903611e+00
#> 124 1.508902e-03 1.853790e-02 8.463672e-02 3.270051e-01 5.993324e-01
#> 127 4.001076e-04 5.372985e-03 2.474965e-02 9.942707e-02 1.834670e-01
#> 130 1.043777e-04 1.530331e-03 7.089035e-03 2.948687e-02 5.473360e-02
#> 133 2.682446e-05 4.286720e-04 1.992165e-03 8.547094e-03 1.594749e-02
#> 136 6.800149e-06 1.181989e-04 5.501045e-04 2.426073e-03 4.547191e-03
#> 139 1.702910e-06 3.211062e-05 1.494729e-04 6.755483e-04 1.271202e-03
#> 142 4.214491e-07 8.602188e-06 4.001693e-05 1.848377e-04 3.490223e-04
#> 145 1.035502e-07 2.275161e-06 1.056935e-05 4.977100e-05 9.426626e-05
#> 148 2.509381e-08 5.943253e-07 2.756878e-06 1.320742e-05 2.508157e-05
#> 151 6.061846e-09 1.536298e-07 7.110813e-07 3.458646e-06 6.583537e-06
#> 154 1.436382e-09 3.918418e-08 1.813750e-07 8.947789e-07 1.706715e-06
#> 157 3.538773e-10 1.000794e-08 4.596947e-08 2.290680e-07 4.377057e-07
#> 160 8.002136e-11 2.487292e-09 1.149682e-08 5.803541e-08 1.110666e-07
#> 163 1.860053e-11 6.186817e-10 2.849951e-09 1.455909e-08 2.791324e-08
#> 166 5.020473e-12 1.567583e-10 7.244022e-10 3.659764e-09 7.004837e-09
#> 169 5.144369e-13 3.501375e-11 1.572717e-10 8.749599e-10 1.698156e-09
#> 172 1.347335e-13 9.170268e-12 4.119022e-11 2.291562e-10 4.447552e-10
#> 175 2.449699e-14 1.667322e-12 7.489130e-12 4.166476e-11 8.086458e-11
#> 178 1.224850e-14 8.336608e-13 3.744565e-12 2.083238e-11 4.043229e-11
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604e1846210>
#>
sim_abundance(ages = 1:10, years = 1:20,
Z = sim_Z(log_mean = log(Z_mat), log_sd = 0, phi_age = 0, phi_year = 0, plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7 8
#> 37984980 39166998 27975870 41525242 31805064 41139566 32999965 71565699
#> 9 10 11 12 13 14 15 16
#> 37661689 47373802 75098735 59233583 36672477 32277803 15917170 20941241
#> 17 18 19 20
#> 6358887 6107586 7011996 6609387
#>
#> $N0
#> [1] 37984980 34370231 28139965 20846599 13973893 8475595 4651505 2552800
#> [9] 1548351 1037891
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
#> 1 0.1 0.1 0.1 0.1 0.1 2.3 2.3 2.3 2.3 0.5 0.5 0.5 0.5 0.5 0.3 0.3 0.3 0.3
#> 2 0.2 0.2 0.2 0.2 0.2 2.4 2.4 2.4 2.4 0.6 0.6 0.6 0.6 0.6 0.4 0.4 0.4 0.4
#> 3 0.3 0.3 0.3 0.3 0.3 2.5 2.5 2.5 2.5 0.7 0.7 0.7 0.7 0.7 0.5 0.5 0.5 0.5
#> 4 0.4 0.4 0.4 0.4 0.4 2.6 2.6 2.6 2.6 0.8 0.8 0.8 0.8 0.8 0.6 0.6 0.6 0.6
#> 5 0.5 0.5 0.5 0.5 0.5 2.7 2.7 2.7 2.7 0.9 0.9 0.9 0.9 0.9 0.7 0.7 0.7 0.7
#> 6 0.6 0.6 0.6 0.6 0.6 2.8 2.8 2.8 2.8 1.0 1.0 1.0 1.0 1.0 0.8 0.8 0.8 0.8
#> 7 0.6 0.6 0.6 0.6 0.6 2.8 2.8 2.8 2.8 1.0 1.0 1.0 1.0 1.0 0.8 0.8 0.8 0.8
#> 8 0.5 0.5 0.5 0.5 0.5 2.7 2.7 2.7 2.7 0.9 0.9 0.9 0.9 0.9 0.7 0.7 0.7 0.7
#> 9 0.4 0.4 0.4 0.4 0.4 2.6 2.6 2.6 2.6 0.8 0.8 0.8 0.8 0.8 0.6 0.6 0.6 0.6
#> 10 0.3 0.3 0.3 0.3 0.3 2.5 2.5 2.5 2.5 0.7 0.7 0.7 0.7 0.7 0.5 0.5 0.5 0.5
#> year
#> age 19 20
#> 1 0.3 0.3
#> 2 0.4 0.4
#> 3 0.5 0.5
#> 4 0.6 0.6
#> 5 0.7 0.7
#> 6 0.8 0.8
#> 7 0.8 0.8
#> 8 0.7 0.7
#> 9 0.6 0.6
#> 10 0.5 0.5
#>
#> $N
#> year
#> age 1 2 3 4 5 6 7
#> 1 37984980 39166998 27975870 41525242 31805064 41139566 32999964.6
#> 2 34370231 34370231 35439765 25313614 37573593 28778412 4124605.3
#> 3 28139965 28139965 28139965 29015626 20725034 30762656 2610718.7
#> 4 20846599 20846599 20846599 20846599 21495304 15353483 2525152.6
#> 5 13973893 13973893 13973893 13973893 13973893 14408733 1140358.1
#> 6 8475595 8475595 8475595 8475595 8475595 8475595 968346.3
#> 7 4651505 4651505 4651505 4651505 4651505 4651505 515401.4
#> 8 2552800 2552800 2552800 2552800 2552800 2552800 282858.3
#> 9 1548351 1548351 1548351 1548351 1548351 1548351 171562.2
#> 10 1037891 1037891 1037891 1037891 1037891 1037891 115001.6
#> year
#> age 8 9 10 11 12
#> 1 71565699.47 37661688.517 4.737380e+07 7.509874e+07 5.923358e+07
#> 2 3308538.29 7175094.279 3.775917e+06 2.873366e+07 4.554969e+07
#> 3 374175.75 300143.822 6.509099e+05 2.072267e+06 1.576937e+07
#> 4 214300.84 30714.216 2.463731e+04 3.232323e+05 1.029058e+06
#> 5 187552.12 15916.890 2.281255e+03 1.107025e+04 1.452376e+05
#> 6 76638.35 12604.536 1.069703e+03 9.274890e+02 4.500830e+03
#> 7 58885.20 4660.383 7.664826e+02 3.935217e+02 3.412041e+02
#> 8 31341.59 3580.813 2.833982e+02 2.819732e+02 1.447685e+02
#> 9 19009.64 2106.328 2.406504e+02 1.152211e+02 1.146417e+02
#> 10 12742.54 1411.914 1.564445e+02 1.081312e+02 5.177218e+01
#> year
#> age 13 14 15 16 17
#> 1 3.667248e+07 3.227780e+07 1.591717e+07 2.094124e+07 6358887.165
#> 2 3.592698e+07 2.224298e+07 1.957748e+07 1.179173e+07 15513652.979
#> 3 2.499820e+07 1.971715e+07 1.220721e+07 1.312318e+07 7904232.866
#> 4 7.830837e+06 1.241374e+07 9.791245e+06 7.404045e+06 7959608.244
#> 5 4.623854e+05 3.518622e+06 5.577852e+06 5.373549e+06 4063426.234
#> 6 5.904921e+04 1.879919e+05 1.430565e+06 2.769879e+06 2668425.682
#> 7 1.655763e+03 2.172299e+04 6.915834e+04 6.427942e+05 1244586.961
#> 8 1.255220e+02 6.091211e+02 7.991442e+03 3.107484e+04 288826.068
#> 9 5.885849e+01 5.103343e+01 2.476501e+02 3.968433e+03 15431.311
#> 10 5.151186e+01 2.644682e+01 2.293080e+01 1.359133e+02 2177.922
#> year
#> age 18 19 20
#> 1 6107586.279 7011996.39 6609387.3
#> 2 4710779.475 4524611.20 5194614.7
#> 3 10399112.579 3157729.91 3032937.6
#> 4 4794159.575 6307380.61 1915260.0
#> 5 4368325.623 2631090.56 3461563.9
#> 6 2017837.751 2169246.31 1306560.9
#> 7 1199000.948 906672.95 974705.2
#> 8 559228.970 538745.85 407394.4
#> 9 143426.781 277704.89 267533.3
#> 10 8468.883 78714.29 152407.7
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 2.307898e-55 2.379715e-55 1.699763e-55 2.522998e-55 1.932417e-55
#> 4 2.791382e-15 2.878245e-15 2.055848e-15 3.051544e-15 2.337242e-15
#> 7 2.042417e-01 2.105973e-01 1.504236e-01 2.232773e-01 1.710128e-01
#> 10 8.526108e+04 8.791423e+04 6.279463e+04 9.320755e+04 7.138964e+04
#> 13 1.020436e+07 1.052190e+07 7.515495e+06 1.115543e+07 8.544177e+06
#> 16 2.342528e+07 2.415407e+07 1.725418e+07 2.560673e+07 1.961544e+07
#> 19 4.809175e+06 4.938737e+06 3.732156e+06 5.027110e+06 4.191957e+06
#> 22 7.345552e+06 7.348999e+06 7.541401e+06 5.450338e+06 8.000810e+06
#> 25 1.526116e+07 1.526118e+07 1.573104e+07 1.128530e+07 1.662861e+07
#> 28 1.082082e+07 1.082082e+07 1.110217e+07 8.493609e+06 1.119571e+07
#> 31 8.603744e+06 8.603744e+06 8.668754e+06 8.253282e+06 7.107314e+06
#> 34 1.039950e+07 1.039950e+07 1.040679e+07 1.063114e+07 7.960339e+06
#> 37 9.561348e+06 9.561348e+06 9.561820e+06 9.767797e+06 7.865099e+06
#> 40 8.299087e+06 8.299087e+06 8.299107e+06 8.384275e+06 7.735509e+06
#> 43 7.733666e+06 7.733666e+06 7.733666e+06 7.755579e+06 7.721724e+06
#> 46 6.953197e+06 6.953197e+06 6.953197e+06 6.957093e+06 7.040959e+06
#> 49 6.022986e+06 6.022986e+06 6.022986e+06 6.023500e+06 6.076480e+06
#> 52 5.146231e+06 5.146231e+06 5.146231e+06 5.146285e+06 5.166117e+06
#> 55 4.308761e+06 4.308761e+06 4.308761e+06 4.308765e+06 4.314246e+06
#> 58 3.524165e+06 3.524165e+06 3.524165e+06 3.524165e+06 3.525371e+06
#> 61 2.827655e+06 2.827655e+06 2.827655e+06 2.827655e+06 2.827875e+06
#> 64 2.233979e+06 2.233979e+06 2.233979e+06 2.233979e+06 2.234014e+06
#> 67 1.740220e+06 1.740220e+06 1.740220e+06 1.740220e+06 1.740225e+06
#> 70 1.332988e+06 1.332988e+06 1.332988e+06 1.332988e+06 1.332988e+06
#> 73 9.960499e+05 9.960499e+05 9.960499e+05 9.960499e+05 9.960500e+05
#> 76 7.176843e+05 7.176843e+05 7.176843e+05 7.176843e+05 7.176843e+05
#> 79 4.927468e+05 4.927468e+05 4.927468e+05 4.927468e+05 4.927468e+05
#> 82 3.193292e+05 3.193292e+05 3.193292e+05 3.193292e+05 3.193292e+05
#> 85 1.941695e+05 1.941695e+05 1.941695e+05 1.941695e+05 1.941695e+05
#> 88 1.104832e+05 1.104832e+05 1.104832e+05 1.104832e+05 1.104832e+05
#> 91 5.882380e+04 5.882380e+04 5.882380e+04 5.882380e+04 5.882380e+04
#> 94 2.935584e+04 2.935584e+04 2.935584e+04 2.935584e+04 2.935584e+04
#> 97 1.377040e+04 1.377040e+04 1.377040e+04 1.377040e+04 1.377040e+04
#> 100 6.092633e+03 6.092633e+03 6.092633e+03 6.092633e+03 6.092633e+03
#> 103 2.552071e+03 2.552071e+03 2.552071e+03 2.552071e+03 2.552071e+03
#> 106 1.015933e+03 1.015933e+03 1.015933e+03 1.015933e+03 1.015933e+03
#> 109 3.857907e+02 3.857907e+02 3.857907e+02 3.857907e+02 3.857907e+02
#> 112 1.402564e+02 1.402564e+02 1.402564e+02 1.402564e+02 1.402564e+02
#> 115 4.898551e+01 4.898551e+01 4.898551e+01 4.898551e+01 4.898551e+01
#> 118 1.648877e+01 1.648877e+01 1.648877e+01 1.648877e+01 1.648877e+01
#> 121 5.365297e+00 5.365297e+00 5.365297e+00 5.365297e+00 5.365297e+00
#> 124 1.692395e+00 1.692395e+00 1.692395e+00 1.692395e+00 1.692395e+00
#> 127 5.188498e-01 5.188498e-01 5.188498e-01 5.188498e-01 5.188498e-01
#> 130 1.549740e-01 1.549740e-01 1.549740e-01 1.549740e-01 1.549740e-01
#> 133 4.519800e-02 4.519800e-02 4.519800e-02 4.519800e-02 4.519800e-02
#> 136 1.289780e-02 1.289780e-02 1.289780e-02 1.289780e-02 1.289780e-02
#> 139 3.608043e-03 3.608043e-03 3.608043e-03 3.608043e-03 3.608043e-03
#> 142 9.911695e-04 9.911695e-04 9.911695e-04 9.911695e-04 9.911695e-04
#> 145 2.678232e-04 2.678232e-04 2.678232e-04 2.678232e-04 2.678232e-04
#> 148 7.128795e-05 7.128795e-05 7.128795e-05 7.128795e-05 7.128795e-05
#> 151 1.871797e-05 1.871797e-05 1.871797e-05 1.871797e-05 1.871797e-05
#> 154 4.854075e-06 4.854075e-06 4.854075e-06 4.854075e-06 4.854075e-06
#> 157 1.244971e-06 1.244971e-06 1.244971e-06 1.244971e-06 1.244971e-06
#> 160 3.160431e-07 3.160431e-07 3.160431e-07 3.160431e-07 3.160431e-07
#> 163 7.944384e-08 7.944384e-08 7.944384e-08 7.944384e-08 7.944384e-08
#> 166 1.993274e-08 1.993274e-08 1.993274e-08 1.993274e-08 1.993274e-08
#> 169 4.839620e-09 4.839620e-09 4.839620e-09 4.839620e-09 4.839620e-09
#> 172 1.267520e-09 1.267520e-09 1.267520e-09 1.267520e-09 1.267520e-09
#> 175 2.304581e-10 2.304581e-10 2.304581e-10 2.304581e-10 2.304581e-10
#> 178 1.152291e-10 1.152291e-10 1.152291e-10 1.152291e-10 1.152291e-10
#> year
#> length 6 7 8 9 10
#> 1 2.499565e-55 2.005017e-55 4.348201e-55 2.288255e-55 2.878345e-55
#> 4 3.023202e-15 2.425051e-15 5.259111e-15 2.767625e-15 3.481334e-15
#> 7 2.212036e-01 1.774377e-01 3.848020e-01 2.025034e-01 2.547245e-01
#> 10 9.234186e+04 7.407171e+04 1.606363e+05 8.453542e+04 1.063352e+05
#> 13 1.105182e+07 8.865177e+06 1.922555e+07 1.011751e+07 1.272659e+07
#> 16 2.536945e+07 2.034721e+07 4.412533e+07 2.322191e+07 2.920955e+07
#> 19 5.049918e+06 3.694634e+06 7.906532e+06 4.262909e+06 5.263614e+06
#> 22 6.178426e+06 9.643833e+05 9.049332e+05 1.619610e+06 9.327425e+05
#> 25 1.281770e+07 1.827854e+06 1.457800e+06 3.156156e+06 1.664217e+06
#> 28 9.514379e+06 1.250209e+06 8.940093e+05 1.906455e+06 1.034388e+06
#> 31 8.840238e+06 8.575521e+05 2.874686e+05 5.048180e+05 3.783059e+05
#> 34 1.104687e+07 9.919326e+05 1.554933e+05 1.505022e+05 2.446261e+05
#> 37 9.477346e+06 9.635199e+05 1.202243e+05 7.937297e+04 1.613099e+05
#> 40 7.220288e+06 9.103947e+05 9.498761e+04 3.743392e+04 6.963769e+04
#> 43 6.371624e+06 8.619116e+05 8.586862e+04 1.741370e+04 2.312438e+04
#> 46 6.024355e+06 7.323483e+05 7.979994e+04 1.051202e+04 7.952198e+03
#> 49 5.637043e+06 5.929104e+05 7.150034e+04 7.904552e+03 3.227450e+03
#> 52 5.063419e+06 4.979872e+05 6.074660e+04 6.556643e+03 1.493135e+03
#> 55 4.319425e+06 4.314163e+05 4.916613e+04 5.534442e+03 8.199105e+02
#> 58 3.542481e+06 3.698008e+05 3.917089e+04 4.551271e+03 5.465148e+02
#> 61 2.837182e+06 3.068857e+05 3.152337e+04 3.619214e+03 4.096027e+02
#> 64 2.237455e+06 2.464926e+05 2.554890e+04 2.823166e+03 3.181622e+02
#> 67 1.741241e+06 1.930517e+05 2.050073e+04 2.193922e+03 2.464137e+02
#> 70 1.333243e+06 1.479680e+05 1.605211e+04 1.699500e+03 1.880582e+02
#> 73 9.961059e+05 1.104989e+05 1.214294e+04 1.293252e+03 1.405803e+02
#> 76 7.176953e+05 7.957130e+04 8.797079e+03 9.482476e+02 1.019082e+02
#> 79 4.927488e+05 5.461339e+04 6.051129e+03 6.595424e+02 7.068418e+01
#> 82 3.193295e+05 3.538694e+04 3.922992e+03 4.309380e+02 4.633824e+01
#> 85 1.941696e+05 2.151565e+04 2.385187e+03 2.632445e+02 2.847868e+01
#> 88 1.104832e+05 1.224213e+04 1.356950e+03 1.501400e+02 1.634754e+01
#> 91 5.882380e+04 6.517914e+03 7.223699e+02 8.002438e+01 8.762299e+00
#> 94 2.935585e+04 3.252731e+03 3.604624e+02 3.995268e+01 4.393995e+00
#> 97 1.377040e+04 1.525806e+03 1.690777e+02 1.874316e+01 2.068075e+00
#> 100 6.092633e+03 6.750833e+02 7.480488e+01 8.292539e+00 9.170593e-01
#> 103 2.552071e+03 2.827776e+02 3.133350e+01 3.473288e+00 3.846910e-01
#> 106 1.015933e+03 1.125686e+02 1.247315e+01 1.382533e+00 1.532747e-01
#> 109 3.857907e+02 4.274683e+01 4.736527e+00 5.249626e-01 5.823451e-02
#> 112 1.402564e+02 1.554085e+01 1.721984e+00 1.908407e-01 2.117707e-02
#> 115 4.898551e+01 5.427749e+00 6.014137e-01 6.664906e-02 7.396993e-03
#> 118 1.648877e+01 1.827008e+00 2.024386e-01 2.243353e-02 2.489865e-03
#> 121 5.365297e+00 5.944918e-01 6.587165e-02 7.299448e-03 8.101292e-04
#> 124 1.692395e+00 1.875227e-01 2.077812e-02 2.302439e-03 2.555171e-04
#> 127 5.188498e-01 5.749019e-02 6.370098e-03 7.058635e-04 7.832673e-05
#> 130 1.549740e-01 1.717160e-02 1.902668e-03 2.108300e-04 2.339238e-05
#> 133 4.519800e-02 5.008081e-03 5.549113e-04 6.148776e-05 6.821538e-06
#> 136 1.289780e-02 1.429117e-03 1.583507e-04 1.754615e-05 1.946382e-06
#> 139 3.608043e-03 3.997826e-04 4.429717e-05 4.908352e-06 5.444235e-07
#> 142 9.911695e-04 1.098247e-04 1.216893e-05 1.348374e-06 1.495441e-07
#> 145 2.678232e-04 2.967565e-05 3.288156e-06 3.643417e-07 4.040445e-08
#> 148 7.128795e-05 7.898930e-06 8.752264e-07 9.697864e-08 1.075377e-08
#> 151 1.871797e-05 2.074011e-06 2.298069e-07 2.546350e-08 2.823380e-09
#> 154 4.854075e-06 5.378468e-07 5.959512e-08 6.603352e-09 7.321381e-10
#> 157 1.244971e-06 1.379467e-07 1.528493e-08 1.693631e-09 1.877599e-10
#> 160 3.160431e-07 3.501858e-08 3.880169e-09 4.299350e-10 4.766396e-11
#> 163 7.944384e-08 8.802628e-09 9.753590e-10 1.080729e-10 1.198046e-11
#> 166 1.993274e-08 2.208611e-09 2.447211e-10 2.711587e-11 3.006136e-12
#> 169 4.839620e-09 5.362452e-10 5.941766e-11 6.583665e-12 7.294908e-13
#> 172 1.267520e-09 1.404452e-10 1.556177e-11 1.724293e-12 1.910571e-13
#> 175 2.304581e-10 2.553549e-11 2.829413e-12 3.135078e-13 3.473766e-14
#> 178 1.152291e-10 1.276774e-11 1.414706e-12 1.567539e-13 1.736883e-14
#> year
#> length 11 12 13 14 15
#> 1 4.562861e-55 3.598924e-55 2.228152e-55 1.961140e-55 9.670981e-56
#> 4 5.518741e-15 4.352867e-15 2.694931e-15 2.371982e-15 1.169697e-15
#> 7 4.037988e-01 3.184934e-01 1.971845e-01 1.735547e-01 8.558513e-02
#> 10 1.685666e+05 1.329557e+05 8.231503e+04 7.245075e+04 3.572768e+04
#> 13 2.017468e+07 1.591263e+07 9.851769e+06 8.671174e+06 4.276021e+06
#> 16 4.630745e+07 3.652807e+07 2.261627e+07 1.990464e+07 9.816864e+06
#> 19 8.771368e+06 7.348243e+06 4.694551e+06 3.955810e+06 2.112435e+06
#> 22 6.265178e+06 9.758584e+06 7.668969e+06 4.776332e+06 4.167002e+06
#> 25 1.264238e+07 2.010793e+07 1.592823e+07 9.884757e+06 8.671888e+06
#> 28 7.689610e+06 1.297774e+07 1.102987e+07 7.097641e+06 5.922099e+06
#> 31 2.221249e+06 6.375200e+06 7.926637e+06 5.907507e+06 4.019132e+06
#> 34 9.012576e+05 5.628864e+06 8.894165e+06 7.194441e+06 4.569240e+06
#> 37 5.527668e+05 3.944393e+06 7.043946e+06 6.380438e+06 4.244335e+06
#> 40 2.821929e+05 1.795010e+06 4.373134e+06 5.076907e+06 3.766255e+06
#> 43 1.395152e+05 6.845689e+05 2.768099e+06 4.164818e+06 3.487965e+06
#> 46 7.150871e+04 2.892567e+05 1.658142e+06 3.068604e+06 2.979158e+06
#> 49 3.274164e+04 1.356543e+05 8.273963e+05 1.964831e+06 2.327218e+06
#> 52 1.270501e+04 6.379020e+04 3.517025e+05 1.144415e+06 1.690303e+06
#> 55 4.463465e+03 2.899229e+04 1.402408e+05 6.114792e+05 1.122737e+06
#> 58 1.591995e+03 1.240085e+04 5.673860e+04 2.942403e+05 6.747086e+05
#> 61 6.448130e+02 4.887242e+03 2.357448e+04 1.275294e+05 3.685085e+05
#> 64 3.193866e+02 1.791016e+03 9.767742e+03 5.111861e+04 1.841256e+05
#> 67 1.933953e+02 6.405938e+02 3.919106e+03 1.965575e+04 8.453997e+04
#> 70 1.329497e+02 2.437628e+02 1.501374e+03 7.452648e+03 3.590995e+04
#> 73 9.542249e+01 1.081872e+02 5.512347e+02 2.810583e+03 1.428316e+04
#> 76 6.776773e+01 5.718904e+01 1.987357e+02 1.048145e+03 5.406955e+03
#> 79 4.631514e+01 3.361757e+01 7.359750e+01 3.830497e+02 1.980318e+03
#> 82 3.002897e+01 2.021063e+01 2.944744e+01 1.366022e+02 7.104128e+02
#> 85 1.833008e+01 1.180020e+01 1.300095e+01 4.768681e+01 2.511033e+02
#> 88 1.049498e+01 6.537206e+00 6.168895e+00 1.645269e+01 8.748056e+01
#> 91 5.630521e+00 3.408605e+00 2.997953e+00 5.682329e+00 2.996365e+01
#> 94 2.833092e+00 1.670860e+00 1.434949e+00 1.986538e+00 1.006257e+01
#> 97 1.339942e+00 7.714177e-01 6.617431e-01 7.063288e-01 3.308182e+00
#> 100 5.975211e-01 3.364978e-01 2.912389e-01 2.545672e-01 1.064709e+00
#> 103 2.521097e-01 1.391816e-01 1.220041e-01 9.215623e-02 3.358400e-01
#> 106 1.010200e-01 5.478976e-02 4.868439e-02 3.315228e-02 1.040061e-01
#> 109 3.858574e-02 2.060240e-02 1.854771e-02 1.174321e-02 3.168245e-02
#> 112 1.410033e-02 7.425990e-03 6.766229e-03 4.069896e-03 9.508524e-03
#> 115 4.946834e-03 2.574212e-03 2.370897e-03 1.375045e-03 2.814861e-03
#> 118 1.671664e-03 8.608640e-04 8.004488e-04 4.521698e-04 8.225637e-04
#> 121 5.457979e-04 2.785370e-04 2.611566e-04 1.446971e-04 2.373604e-04
#> 124 1.726717e-04 8.742974e-05 8.257223e-05 4.509152e-05 6.764330e-05
#> 127 5.307278e-05 2.669010e-05 2.536715e-05 1.370030e-05 1.903804e-05
#> 130 1.588736e-05 7.942603e-06 7.590527e-06 4.064491e-06 5.291794e-06
#> 133 4.642453e-06 2.309033e-06 2.217248e-06 1.179272e-06 1.452752e-06
#> 136 1.326995e-06 6.570754e-07 6.335841e-07 3.351659e-07 3.939842e-07
#> 139 3.717543e-07 1.833653e-07 1.774507e-07 9.346406e-08 1.055862e-07
#> 142 1.022543e-07 5.026597e-08 4.879816e-08 2.560891e-08 2.796503e-08
#> 145 2.766053e-08 1.355727e-08 1.319776e-08 6.907332e-09 7.332892e-09
#> 148 7.369657e-09 3.602779e-09 3.515666e-09 1.834941e-09 1.899388e-09
#> 151 1.936677e-09 9.446370e-10 9.237448e-10 4.811839e-10 4.881806e-10
#> 154 5.026019e-10 2.446644e-10 2.396974e-10 1.245919e-10 1.234375e-10
#> 157 1.289909e-10 6.268511e-11 6.150978e-11 3.196388e-11 3.170446e-11
#> 160 3.276275e-11 1.589779e-11 1.562172e-11 8.094332e-12 7.740842e-12
#> 163 8.240921e-12 3.991896e-12 3.928920e-12 2.033332e-12 1.921081e-12
#> 166 2.066429e-12 1.002593e-12 9.852933e-13 5.104835e-13 4.877805e-13
#> 169 5.042088e-13 2.414104e-13 2.401965e-13 1.233199e-13 1.069249e-13
#> 172 1.320547e-13 6.322653e-14 6.290862e-14 3.229806e-14 2.800413e-14
#> 175 2.400994e-14 1.149573e-14 1.143793e-14 5.872375e-15 5.091660e-15
#> 178 1.200497e-14 5.747866e-15 5.718965e-15 2.936187e-15 2.545830e-15
#> year
#> length 16 17 18 19 20
#> 1 1.272351e-55 3.863543e-56 3.710857e-56 4.260360e-56 4.015743e-56
#> 4 1.538898e-15 4.672922e-16 4.488250e-16 5.152869e-16 4.857006e-16
#> 7 1.125991e-01 3.419114e-02 3.283992e-02 3.770284e-02 3.553805e-02
#> 10 4.700470e+04 1.427316e+04 1.370909e+04 1.573913e+04 1.483543e+04
#> 13 5.625697e+06 1.708265e+06 1.640754e+06 1.883717e+06 1.775559e+06
#> 16 1.291337e+07 3.922966e+06 3.766418e+06 4.324017e+06 4.075883e+06
#> 19 2.516884e+06 9.884084e+05 7.579463e+05 8.535811e+05 8.220358e+05
#> 22 2.543528e+06 3.283611e+06 1.010067e+06 9.728049e+05 1.112595e+06
#> 25 5.254870e+06 6.862033e+06 2.127370e+06 2.006100e+06 2.299893e+06
#> 28 3.931346e+06 4.581213e+06 1.896264e+06 1.390596e+06 1.558228e+06
#> 31 3.745243e+06 2.781570e+06 2.681753e+06 1.022495e+06 1.016546e+06
#> 34 4.738964e+06 3.035110e+06 3.686001e+06 1.311578e+06 1.120158e+06
#> 37 4.149739e+06 2.962531e+06 3.147382e+06 1.594697e+06 9.982892e+05
#> 40 3.264911e+06 2.852055e+06 2.327061e+06 1.939043e+06 8.739030e+05
#> 43 2.863091e+06 2.751545e+06 1.991188e+06 2.045081e+06 9.408073e+05
#> 46 2.549182e+06 2.380648e+06 1.837056e+06 1.763371e+06 1.071700e+06
#> 49 2.199250e+06 1.937032e+06 1.667488e+06 1.398890e+06 1.123544e+06
#> 52 1.819498e+06 1.580507e+06 1.437446e+06 1.139340e+06 1.032777e+06
#> 55 1.409591e+06 1.286509e+06 1.168433e+06 9.544390e+05 8.517863e+05
#> 58 1.009127e+06 1.014560e+06 9.136401e+05 7.875249e+05 6.682678e+05
#> 61 6.649196e+05 7.586118e+05 6.994277e+05 6.255914e+05 5.208211e+05
#> 64 4.023659e+05 5.309908e+05 5.230069e+05 4.790404e+05 4.059033e+05
#> 67 2.236535e+05 3.457112e+05 3.767099e+05 3.565985e+05 3.125118e+05
#> 70 1.145744e+05 2.089370e+05 2.578246e+05 2.586263e+05 2.351186e+05
#> 73 5.439117e+04 1.172892e+05 1.661894e+05 1.815167e+05 1.716719e+05
#> 76 2.408564e+04 6.130175e+04 1.004447e+05 1.219667e+05 1.207930e+05
#> 79 1.002430e+04 2.994107e+04 5.685160e+04 7.771999e+04 8.119939e+04
#> 82 3.954950e+03 1.373030e+04 3.015641e+04 4.668490e+04 5.170529e+04
#> 85 1.492947e+03 5.943505e+03 1.502173e+04 2.636369e+04 3.099152e+04
#> 88 5.441372e+02 2.442651e+03 7.046668e+03 1.399333e+04 1.742694e+04
#> 91 1.929743e+02 9.587430e+02 3.123122e+03 6.990560e+03 9.187039e+03
#> 94 6.695872e+01 3.614682e+02 1.312363e+03 3.294487e+03 4.546349e+03
#> 97 2.279871e+01 1.316071e+02 5.247267e+02 1.468907e+03 2.117307e+03
#> 100 7.623327e+00 4.648707e+01 2.003411e+02 6.215787e+02 9.309982e+02
#> 103 2.501824e+00 1.598949e+01 7.329387e+01 2.504395e+02 3.878971e+02
#> 106 8.049580e-01 5.369939e+00 2.577901e+01 9.638767e+01 1.537059e+02
#> 109 2.536709e-01 1.764131e+00 8.744396e+00 3.554897e+01 5.813763e+01
#> 112 7.825524e-02 5.675548e-01 2.869048e+00 1.260214e+01 2.106438e+01
#> 115 2.363145e-02 1.789315e-01 9.130208e-01 4.306632e+00 7.335358e+00
#> 118 6.988595e-03 5.530313e-02 2.825269e-01 1.422672e+00 2.462905e+00
#> 121 2.025597e-03 1.676298e-02 8.520970e-02 4.554861e-01 7.996710e-01
#> 124 5.760004e-04 4.985034e-03 2.510147e-02 1.416800e-01 2.517725e-01
#> 127 1.608797e-04 1.455205e-03 7.236743e-03 4.291397e-02 7.706355e-02
#> 130 4.418928e-05 4.172516e-04 2.045512e-03 1.268448e-02 2.298595e-02
#> 133 1.195087e-05 1.176028e-04 5.677954e-04 3.666032e-03 6.695775e-03
#> 136 3.186173e-06 3.261012e-05 1.550135e-04 1.037947e-03 1.908732e-03
#> 139 8.384058e-07 8.904394e-06 4.168120e-05 2.883769e-04 5.334683e-04
#> 142 2.179071e-07 2.396390e-06 1.105231e-05 7.874957e-05 1.464345e-04
#> 145 5.607883e-08 6.364473e-07 2.893722e-06 2.116858e-05 3.954091e-05
#> 148 1.425757e-08 1.668639e-07 7.487760e-07 5.608970e-06 1.051852e-05
#> 151 3.598041e-09 4.327432e-08 1.917454e-07 1.466900e-06 2.760390e-06
#> 154 8.970805e-10 1.107246e-08 4.857059e-08 3.790493e-07 7.155129e-07
#> 157 2.249739e-10 2.833282e-09 1.225130e-08 9.694888e-08 1.834440e-07
#> 160 5.476465e-11 7.064684e-10 3.043487e-09 2.453832e-08 4.655162e-08
#> 163 1.332980e-11 1.761733e-10 7.498845e-10 6.149629e-09 1.169704e-08
#> 166 3.446368e-12 4.453208e-11 1.916871e-10 1.547300e-09 2.935915e-09
#> 169 6.337550e-13 1.015551e-11 3.948987e-11 3.670397e-10 7.106673e-10
#> 172 1.659835e-13 2.659777e-12 1.034258e-11 9.612945e-11 1.861272e-10
#> 175 3.017881e-14 4.835958e-13 1.880470e-12 1.747808e-11 3.384130e-11
#> 178 1.508941e-14 2.417979e-13 9.402349e-13 8.739041e-12 1.692065e-11
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604e0567b70>
#>
N0_fun <- sim_N0(N0 = "exp", plot = TRUE)
N0_fun(R0 = 1000, Z0 = rep(0.5, 20), ages = 1:20)
#> [1] 1.000000e+03 6.065307e+02 3.678794e+02 2.231302e+02 1.353353e+02
#> [6] 8.208500e+01 4.978707e+01 3.019738e+01 1.831564e+01 1.110900e+01
#> [11] 6.737947e+00 4.086771e+00 2.478752e+00 1.503439e+00 9.118820e-01
#> [16] 5.530844e-01 3.354626e-01 2.034684e-01 1.234098e-01 7.485183e-02
sim_abundance(N0 = sim_N0(N0 = "exp", plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178 181 184 187 190 193 196 199 202 205 208 211 214 217 220 223 226
#> [77] 229 232 235 238
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7 8
#> 51094795 38504546 47198341 56517579 139178572 193742883 139546258 60822967
#> 9 10 11 12 13 14 15 16
#> 67056626 43784608 75991010 56255003 69110179 164091380 299413534 344273371
#> 17 18 19 20
#> 247435129 204106798 287968578 151691932
#>
#> $N0
#> [1] 5.109479e+07 1.279910e+07 2.446037e+06 5.016514e+05 1.052518e+05
#> [6] 2.615345e+04 6.506959e+03 1.719351e+03 4.294465e+02 1.407118e+02
#> [11] 3.589962e+01 1.437454e+01 7.227362e+00 4.028551e+00 2.814423e+00
#> [16] 1.694984e+00 1.049229e+00 6.539951e-01 4.010134e-01 2.423493e-01
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 1.3843076 0.8517969 0.3529707 0.3104938 0.5641453 0.3719244 1.0033679
#> 2 1.6549059 0.7835492 0.3316260 0.2177456 0.4405803 0.2555618 0.5801269
#> 3 1.5843188 0.7559632 0.2933879 0.1687559 0.3614935 0.2657536 0.5161110
#> 4 1.5615495 0.6243185 0.2356441 0.2329872 0.2707957 0.2821589 0.5046504
#> 5 1.3923748 0.5841385 0.1745251 0.2163780 0.2784371 0.2350243 0.5153014
#> 6 1.3911090 0.5771339 0.1941121 0.1937896 0.3053019 0.2947473 0.6756182
#> 7 1.3309253 0.5585548 0.2219093 0.2189908 0.3619706 0.2981122 1.0413808
#> 8 1.3872051 0.6115006 0.2668359 0.2080661 0.3567300 0.3569572 1.3853331
#> 9 1.1157835 0.5141533 0.1847396 0.1915878 0.2804336 0.2920106 1.0140028
#> 10 1.3659870 0.4443821 0.2272387 0.1969738 0.3198933 0.3315270 1.0561180
#> 11 0.9152677 0.4017632 0.1775344 0.1920251 0.3716807 0.4011728 1.0116243
#> 12 0.6875848 0.4466222 0.2026328 0.2718206 0.5815936 0.4750660 0.9826847
#> 13 0.5844672 0.3823160 0.2157186 0.2945157 0.4882749 0.5246299 0.7822606
#> 14 0.3586497 0.3317080 0.2360895 0.3151972 0.2989920 0.3471264 0.3968625
#> 15 0.5070841 0.3584635 0.1822251 0.3106252 0.2400796 0.2308445 0.3309850
#> 16 0.4796174 0.5130655 0.2934980 0.2977113 0.3455130 0.2245230 0.2863150
#> 17 0.4727111 0.3640551 0.2665156 0.2505388 0.3074927 0.1509592 0.2034701
#> 18 0.4891049 0.4043683 0.3836165 0.3112250 0.3052462 0.2432431 0.4053106
#> 19 0.5036147 0.4155586 0.4647345 0.3573555 0.3385422 0.3278619 0.4337263
#> 20 0.5202647 0.2837831 0.4413893 0.3399806 0.3601700 0.4552144 0.5911412
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.3828467 0.3449030 0.4946872 0.7640272 0.7524785 0.6955419 0.4863659
#> 2 0.2773964 0.2740067 0.3638881 0.5711326 0.5588760 0.4886839 0.4101890
#> 3 0.4043195 0.4173694 0.2358265 0.5175288 0.4939549 0.3402710 0.3231328
#> 4 0.4075791 0.3677035 0.2166960 0.3828553 0.3233729 0.3471685 0.5469689
#> 5 0.4370225 0.4734649 0.3187614 0.5351082 0.4072828 0.3970649 0.6090479
#> 6 0.4456860 0.5194160 0.3641581 0.3604944 0.2553610 0.4246158 0.5963451
#> 7 0.7127033 0.7145900 0.3902812 0.3004056 0.2814623 0.2913392 0.6261963
#> 8 0.9402025 0.9378074 0.5319479 0.3446644 0.2189084 0.3318378 0.5697107
#> 9 0.9880558 0.9882202 0.6579032 0.4934048 0.3006720 0.3441528 0.6563331
#> 10 0.9412808 0.7722295 0.4505389 0.4094881 0.3254937 0.3632738 0.7070554
#> 11 0.6757326 0.4659030 0.3606677 0.3747931 0.2524085 0.2675135 0.5240569
#> 12 0.6704794 0.3880871 0.3543261 0.4391596 0.2578584 0.2351538 0.4926383
#> 13 0.4599189 0.2681051 0.2457741 0.4313951 0.2507266 0.1928702 0.4504767
#> 14 0.3638946 0.2163905 0.2397937 0.4949268 0.3037176 0.2854981 0.4701634
#> 15 0.3542851 0.1788466 0.2233796 0.4791732 0.2747542 0.3112214 0.3815617
#> 16 0.3231247 0.1623838 0.2524896 0.5237568 0.2121434 0.3151979 0.3086470
#> 17 0.4978901 0.2313103 0.3312174 0.4955657 0.2727378 0.4645196 0.3459627
#> 18 0.7194132 0.2836237 0.2977494 0.4979260 0.3216812 0.6007503 0.4431192
#> 19 1.0023060 0.2130218 0.2640223 0.4158913 0.4218709 0.5583152 0.4606825
#> 20 1.0484183 0.1583331 0.1970216 0.2848069 0.3260352 0.4605476 0.5105179
#> year
#> age 15 16 17 18 19 20
#> 1 0.5168560 0.5031228 0.4475395 0.6925702 0.4722507 0.5302765
#> 2 0.5608927 0.4302983 0.4334412 0.5081016 0.2748423 0.4339591
#> 3 0.5086085 0.5060416 0.4874918 0.6012621 0.3443551 0.6721118
#> 4 0.8416544 0.7436377 0.8885535 0.6336128 0.4730221 0.4973232
#> 5 0.7206422 0.5664383 0.6616556 0.6803410 0.5329518 0.6115001
#> 6 0.6428414 0.5438067 0.9119934 0.5899251 0.5719256 0.8635460
#> 7 0.8010558 0.4710211 0.6804333 0.5870163 0.3801939 0.5945348
#> 8 0.8488863 0.4582643 0.6062652 0.4659529 0.4028557 0.4598169
#> 9 0.7718157 0.3940313 0.5649094 0.4460644 0.5973291 0.5486084
#> 10 0.9535755 0.6422145 0.8834746 0.5589146 0.4445224 0.6648132
#> 11 0.7856413 0.4601517 0.7278288 0.3533035 0.3892625 0.6720236
#> 12 0.5990057 0.3701317 0.5580348 0.3840076 0.4709837 0.6304572
#> 13 0.5124435 0.3155262 0.4802797 0.3742573 0.5383517 0.7175574
#> 14 0.3770895 0.3761907 0.6518165 0.4003930 0.8392445 0.8372323
#> 15 0.2532826 0.3815762 0.6693882 0.5378752 0.8555169 1.3165973
#> 16 0.2615838 0.3914538 0.5642894 0.5253968 0.7929799 1.2874569
#> 17 0.2937487 0.6022248 0.4937514 0.4165940 0.7501123 1.2260226
#> 18 0.4417836 0.6747545 0.6935752 0.3726636 0.7166174 1.4101112
#> 19 0.4722259 0.8646166 0.7329097 0.3434543 0.7212663 1.0652467
#> 20 0.5139224 1.0972894 0.5280843 0.4133198 0.9816280 1.1584640
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 5.109479e+07 3.850455e+07 4.719834e+07 5.651758e+07 1.391786e+08
#> 2 1.279910e+07 1.279910e+07 1.642787e+07 3.316145e+07 4.143218e+07
#> 3 2.446037e+06 2.446037e+06 5.846398e+06 1.179120e+07 2.667275e+07
#> 4 5.016514e+05 5.016514e+05 1.148556e+06 4.359851e+06 9.960204e+06
#> 5 1.052518e+05 1.052518e+05 2.686977e+05 9.074306e+05 3.453716e+06
#> 6 2.615345e+04 2.615345e+04 5.868696e+04 2.256673e+05 7.308725e+05
#> 7 6.506959e+03 6.506959e+03 1.468530e+04 4.833256e+04 1.859118e+05
#> 8 1.719351e+03 1.719351e+03 3.722209e+03 1.176275e+04 3.882695e+04
#> 9 4.294465e+02 4.294465e+02 9.328100e+02 2.850463e+03 9.553159e+03
#> 10 1.407118e+02 1.407118e+02 2.568119e+02 7.754643e+02 2.353477e+03
#> 11 3.589962e+01 3.589962e+01 9.022725e+01 2.046099e+02 6.368207e+02
#> 12 1.437454e+01 1.437454e+01 2.402184e+01 7.555019e+01 1.688617e+02
#> 13 7.227362e+00 7.227362e+00 9.196626e+00 1.961571e+01 5.756856e+01
#> 14 4.028551e+00 4.028551e+00 4.931080e+00 7.412132e+00 1.461159e+01
#> 15 2.814423e+00 2.814423e+00 2.891279e+00 3.894123e+00 5.408225e+00
#> 16 1.694984e+00 1.694984e+00 1.966575e+00 2.409631e+00 2.854348e+00
#> 17 1.049229e+00 1.049229e+00 1.014715e+00 1.466378e+00 1.789189e+00
#> 18 6.539951e-01 6.539951e-01 7.290599e-01 7.773162e-01 1.141402e+00
#> 19 4.010134e-01 4.010134e-01 4.364752e-01 4.967761e-01 5.694222e-01
#> 20 2.423493e-01 2.423493e-01 2.646574e-01 2.742382e-01 3.475067e-01
#> year
#> age 6 7 8 9 10
#> 1 1.937429e+08 1.395463e+08 6.082297e+07 6.705663e+07 4.378461e+07
#> 2 7.917119e+07 1.335676e+08 5.116359e+07 4.147624e+07 4.749548e+07
#> 3 2.666835e+07 6.131661e+07 7.477478e+07 3.876942e+07 3.153550e+07
#> 4 1.858117e+07 2.044470e+07 3.659603e+07 4.990699e+07 2.554042e+07
#> 5 7.597368e+06 1.401306e+07 1.234281e+07 2.434583e+07 3.455173e+07
#> 6 2.614345e+06 6.006112e+06 8.370291e+06 7.972922e+06 1.516357e+07
#> 7 5.385806e+05 1.946954e+06 3.056160e+06 5.360207e+06 4.742835e+06
#> 8 1.294509e+05 3.997443e+05 6.872106e+05 1.498487e+06 2.623246e+06
#> 9 2.717737e+04 9.059006e+04 1.000322e+05 2.683892e+05 5.866356e+05
#> 10 7.216992e+03 2.029499e+04 3.286281e+04 3.724196e+04 9.990484e+04
#> 11 1.709157e+03 5.180551e+03 7.058666e+03 1.282070e+04 1.720511e+04
#> 12 4.391353e+02 1.144339e+03 1.883793e+03 3.591333e+03 8.045862e+03
#> 13 9.439483e+01 2.730736e+02 4.283318e+02 9.634908e+02 2.436192e+03
#> 14 3.532891e+01 5.586044e+01 1.248959e+02 2.704208e+02 7.369041e+02
#> 15 1.083545e+01 2.496751e+01 3.756204e+01 8.679824e+01 2.178025e+02
#> 16 4.253922e+00 8.601860e+00 1.793206e+01 2.635634e+01 7.258365e+01
#> 17 2.020471e+00 3.398446e+00 6.460220e+00 1.298072e+01 2.240592e+01
#> 18 1.315570e+00 1.737368e+00 2.772774e+00 3.926598e+00 1.030012e+01
#> 19 8.411467e-01 1.031513e+00 1.158424e+00 1.350446e+00 2.956924e+00
#> 20 4.058891e-01 6.060146e-01 6.685129e-01 4.251788e-01 1.091348e+00
#> year
#> age 11 12 13 14 15
#> 1 7.599101e+07 5.625500e+07 6.911018e+07 1.640914e+08 2.994135e+08
#> 2 2.669817e+07 3.539561e+07 2.650720e+07 3.447244e+07 1.008927e+08
#> 3 3.300788e+07 1.508141e+07 2.024103e+07 1.626040e+07 2.287332e+07
#> 4 2.491045e+07 1.967242e+07 9.202799e+06 1.440306e+07 1.177054e+07
#> 5 2.056450e+07 1.698673e+07 1.423701e+07 6.503492e+06 8.335070e+06
#> 6 2.512080e+07 1.204270e+07 1.130392e+07 9.571402e+06 3.537044e+06
#> 7 1.053537e+07 1.751753e+07 9.328715e+06 7.393000e+06 5.272131e+06
#> 8 3.210266e+06 7.801625e+06 1.322011e+07 6.970996e+06 3.952456e+06
#> 9 1.541051e+06 2.274339e+06 6.267789e+06 9.486803e+06 3.943416e+06
#> 10 3.038398e+05 9.408796e+05 1.683740e+06 4.442738e+06 4.921280e+06
#> 11 6.366782e+04 2.017466e+05 6.794757e+05 1.170866e+06 2.190687e+06
#> 12 1.199559e+04 4.376726e+04 1.567425e+05 5.199892e+05 6.932856e+05
#> 13 5.645348e+03 7.732090e+03 3.381917e+04 1.238970e+05 3.177198e+05
#> 14 1.905343e+03 3.667230e+03 6.017384e+03 2.788692e+04 7.896254e+04
#> 15 5.797889e+02 1.161527e+03 2.706670e+03 4.522905e+03 1.742654e+04
#> 16 1.742009e+02 3.590605e+02 8.824803e+02 1.982776e+03 3.088214e+03
#> 17 5.638764e+01 1.031777e+02 2.904256e+02 6.438969e+02 1.456230e+03
#> 18 1.608855e+01 3.435283e+01 7.854837e+01 1.825142e+02 4.555821e+02
#> 19 7.647707e+00 9.778455e+00 2.490337e+01 4.307593e+01 1.171797e+02
#> 20 2.270789e+00 5.045590e+00 6.412894e+00 1.424902e+01 2.717458e+01
#> year
#> age 16 17 18 19 20
#> 1 3.442734e+08 2.474351e+08 2.041068e+08 2.879686e+08 1.516919e+08
#> 2 1.785680e+08 2.081613e+08 1.581603e+08 1.021123e+08 1.795764e+08
#> 3 5.757940e+07 1.161255e+08 1.349456e+08 9.515502e+07 7.757389e+07
#> 4 1.375445e+07 3.471331e+07 7.132019e+07 7.396633e+07 6.743419e+07
#> 5 5.073066e+06 6.538612e+06 1.427586e+07 3.784757e+07 4.608962e+07
#> 6 4.054509e+06 2.879184e+06 3.373900e+06 7.229926e+06 2.221161e+07
#> 7 1.859765e+06 2.353781e+06 1.156634e+06 1.870385e+06 4.080841e+06
#> 8 2.366421e+06 1.161171e+06 1.191949e+06 6.430694e+05 1.278836e+06
#> 9 1.691221e+06 1.496478e+06 6.332840e+05 7.479918e+05 4.298331e+05
#> 10 1.822541e+06 1.140446e+06 8.506157e+05 4.053920e+05 4.116045e+05
#> 11 1.896468e+06 9.588862e+05 4.713969e+05 4.864070e+05 2.599092e+05
#> 12 9.985751e+05 1.197027e+06 4.631003e+05 3.310922e+05 3.295682e+05
#> 13 3.808617e+05 6.896593e+05 6.850980e+05 3.154298e+05 2.067299e+05
#> 14 1.903237e+05 2.778024e+05 4.266304e+05 4.712104e+05 1.841194e+05
#> 15 5.415683e+04 1.306518e+05 1.447624e+05 2.858665e+05 2.035802e+05
#> 16 1.352732e+04 3.697744e+04 6.689655e+04 8.453946e+04 1.215114e+05
#> 17 2.377404e+03 9.145462e+03 2.103144e+04 3.955731e+04 3.825363e+04
#> 18 1.085566e+03 1.301847e+03 5.581773e+03 1.386579e+04 1.868345e+04
#> 19 2.928886e+02 5.528588e+02 6.506451e+02 3.845266e+03 6.772072e+03
#> 20 7.307474e+01 1.233685e+02 2.656536e+02 4.615129e+02 1.869323e+03
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 3.104426e-55 2.339466e-55 2.867685e-55 3.433905e-55 8.456235e-55
#> 4 3.754776e-15 2.829563e-15 3.468440e-15 4.153278e-15 1.022774e-14
#> 7 2.747319e-01 2.070353e-01 2.537810e-01 3.038897e-01 7.483501e-01
#> 10 1.146874e+05 8.642729e+04 1.059414e+05 1.268593e+05 3.124002e+05
#> 13 1.372621e+07 1.034394e+07 1.267946e+07 1.518300e+07 3.738921e+07
#> 16 3.150512e+07 2.374242e+07 2.910324e+07 3.485164e+07 8.581867e+07
#> 19 5.840964e+06 4.460935e+06 5.482032e+06 6.817842e+06 1.603375e+07
#> 22 2.842369e+06 2.805646e+06 3.594885e+06 7.143621e+06 9.126482e+06
#> 25 5.640093e+06 5.639822e+06 7.253516e+06 1.464113e+07 1.835930e+07
#> 28 3.521420e+06 3.521419e+06 4.690699e+06 9.468376e+06 1.258413e+07
#> 31 1.338811e+06 1.338811e+06 2.338820e+06 4.727243e+06 8.652639e+06
#> 34 9.242352e+05 9.242352e+05 2.110813e+06 4.329395e+06 9.568752e+06
#> 37 6.592523e+05 6.592523e+05 1.562995e+06 3.419862e+06 7.741254e+06
#> 40 3.650362e+05 3.650362e+05 8.603667e+05 2.247966e+06 5.151924e+06
#> 43 2.061125e+05 2.061125e+05 4.807766e+05 1.553565e+06 3.680316e+06
#> 46 1.250476e+05 1.250476e+05 2.925815e+05 1.043205e+06 2.650196e+06
#> 49 7.347623e+04 7.347623e+04 1.747846e+05 6.310212e+05 1.787581e+06
#> 52 4.207799e+04 4.207799e+04 1.018370e+05 3.629533e+05 1.151381e+06
#> 55 2.427867e+04 2.427867e+04 5.897558e+04 2.087542e+05 7.115225e+05
#> 58 1.407657e+04 1.407657e+04 3.376879e+04 1.200394e+05 4.194585e+05
#> 61 8.113743e+03 8.113743e+03 1.906523e+04 6.814687e+04 2.383970e+05
#> 64 4.632782e+03 4.632782e+03 1.066810e+04 3.800944e+04 1.327169e+05
#> 67 2.617195e+03 2.617195e+03 5.932548e+03 2.082708e+04 7.288238e+04
#> 70 1.461580e+03 1.461580e+03 3.273949e+03 1.123417e+04 3.944712e+04
#> 73 8.068630e+02 8.068630e+02 1.788969e+03 5.983290e+03 2.099763e+04
#> 76 4.406853e+02 4.406853e+02 9.668919e+02 3.154457e+03 1.099080e+04
#> 79 2.384873e+02 2.384873e+02 5.170934e+02 1.648488e+03 5.666980e+03
#> 82 1.281871e+02 1.281871e+02 2.740618e+02 8.544458e+02 2.885224e+03
#> 85 6.867792e+01 6.867792e+01 1.442889e+02 4.394861e+02 1.453467e+03
#> 88 3.686048e+01 3.686048e+01 7.567779e+01 2.245038e+02 7.254530e+02
#> 91 1.994583e+01 1.994583e+01 3.967394e+01 1.140400e+02 3.590213e+02
#> 94 1.095781e+01 1.095781e+01 2.087004e+01 5.769985e+01 1.762689e+02
#> 97 6.147562e+00 6.147562e+00 1.106316e+01 2.914092e+01 8.591632e+01
#> 100 3.530494e+00 3.530494e+00 5.933886e+00 1.472796e+01 4.161813e+01
#> 103 2.070469e+00 2.070469e+00 3.229119e+00 7.468945e+00 2.006573e+01
#> 106 1.231513e+00 1.231513e+00 1.783149e+00 3.809537e+00 9.647607e+00
#> 109 7.361121e-01 7.361121e-01 9.962833e-01 1.956895e+00 4.635262e+00
#> 112 4.380671e-01 4.380671e-01 5.601254e-01 1.012164e+00 2.229633e+00
#> 115 2.575227e-01 2.575227e-01 3.147376e-01 5.260907e-01 1.075086e+00
#> 118 1.486735e-01 1.486735e-01 1.755731e-01 2.738387e-01 5.197843e-01
#> 121 8.396561e-02 8.396561e-02 9.667977e-02 1.421319e-01 2.517646e-01
#> 124 4.628183e-02 4.628183e-02 5.232503e-02 7.323941e-02 1.219340e-01
#> 127 2.486905e-02 2.486905e-02 2.775282e-02 3.732077e-02 5.889368e-02
#> 130 1.302274e-02 1.302274e-02 1.440005e-02 1.874742e-02 2.828491e-02
#> 133 6.647154e-03 6.647154e-03 7.303087e-03 9.262405e-03 1.346960e-02
#> 136 3.309134e-03 3.309134e-03 3.619478e-03 4.494176e-03 6.344577e-03
#> 139 1.608030e-03 1.608030e-03 1.753444e-03 2.139754e-03 2.950239e-03
#> 142 7.634712e-04 7.634712e-04 8.307802e-04 9.993899e-04 1.352423e-03
#> 145 3.545375e-04 3.545375e-04 3.852629e-04 4.579332e-04 6.106340e-04
#> 148 1.612024e-04 1.612024e-04 1.750191e-04 2.059322e-04 2.714319e-04
#> 151 7.184441e-05 7.184441e-05 7.796160e-05 9.093752e-05 1.187678e-04
#> 154 3.141917e-05 3.141917e-05 3.408525e-05 3.945971e-05 5.116285e-05
#> 157 1.349691e-05 1.349691e-05 1.464092e-05 1.683780e-05 2.170564e-05
#> 160 5.701064e-06 5.701064e-06 6.184535e-06 7.071053e-06 9.073081e-06
#> 163 2.370213e-06 2.370213e-06 2.571544e-06 2.924852e-06 3.738905e-06
#> 166 9.708207e-07 9.708207e-07 1.053482e-06 1.192611e-06 1.519882e-06
#> 169 3.921057e-07 3.921057e-07 4.255885e-07 4.797517e-07 6.098636e-07
#> 172 1.562981e-07 1.562981e-07 1.696874e-07 1.905450e-07 2.417150e-07
#> 175 6.153837e-08 6.153837e-08 6.682781e-08 7.477719e-08 9.469129e-08
#> 178 2.395070e-08 2.395070e-08 2.601641e-08 2.901678e-08 3.668951e-08
#> 181 9.221257e-09 9.221257e-09 1.001929e-08 1.114136e-08 1.406933e-08
#> 184 3.514513e-09 3.514513e-09 3.819686e-09 4.235695e-09 5.342878e-09
#> 187 1.326883e-09 1.326883e-09 1.442478e-09 1.595483e-09 2.010605e-09
#> 190 4.965496e-10 4.965496e-10 5.399426e-10 5.957908e-10 7.501597e-10
#> 193 1.842931e-10 1.842931e-10 2.004457e-10 2.206808e-10 2.776400e-10
#> 196 6.787885e-11 6.787885e-11 7.384609e-11 8.113693e-11 1.020190e-10
#> 199 2.482176e-11 2.482176e-11 2.700938e-11 2.961619e-11 3.721189e-11
#> 202 9.016989e-12 9.016989e-12 9.813785e-12 1.074158e-11 1.348986e-11
#> 205 3.254624e-12 3.254624e-12 3.542824e-12 3.870561e-12 4.856775e-12
#> 208 1.168376e-12 1.168376e-12 1.272073e-12 1.387576e-12 1.740481e-12
#> 211 4.175749e-13 4.175749e-13 4.547636e-13 4.954810e-13 6.216795e-13
#> 214 1.483182e-13 1.483182e-13 1.615411e-13 1.756886e-13 2.201268e-13
#> 217 5.253833e-14 5.253833e-14 5.721949e-14 6.218277e-14 7.793695e-14
#> 220 1.848109e-14 1.848109e-14 2.013859e-14 2.183122e-14 2.734308e-14
#> 223 6.443675e-15 6.443675e-15 7.017600e-15 7.590609e-15 9.503466e-15
#> 226 2.249109e-15 2.249109e-15 2.444279e-15 2.655279e-15 3.315751e-15
#> 229 7.080988e-16 7.080988e-16 7.742848e-16 8.245038e-16 1.035472e-15
#> 232 3.230880e-16 3.230880e-16 3.541561e-16 3.792852e-16 4.846441e-16
#> 235 9.833379e-17 9.833379e-17 1.072242e-16 1.160463e-16 1.403805e-16
#> 238 2.690618e-17 2.690618e-17 2.938288e-17 3.044655e-17 3.858099e-17
#> year
#> length 6 7 8 9 10
#> 1 1.177146e-54 8.478575e-55 3.695492e-55 4.074238e-55 2.660273e-55
#> 4 1.423748e-14 1.025476e-14 4.469665e-15 4.927755e-15 3.217576e-15
#> 7 1.041737e+00 7.503271e-01 3.270394e-01 3.605572e-01 2.354257e-01
#> 10 4.348752e+05 3.132255e+05 1.365232e+05 1.505153e+05 9.827892e+04
#> 13 5.204748e+07 3.748799e+07 1.633961e+07 1.801423e+07 1.176239e+07
#> 16 1.194667e+08 8.605905e+07 3.750886e+07 4.135087e+07 2.700307e+07
#> 19 2.272347e+07 1.780470e+07 7.627919e+06 8.129225e+06 5.691418e+06
#> 22 1.722640e+07 2.851749e+07 1.095039e+07 8.926608e+06 1.012453e+07
#> 25 3.494811e+07 5.904493e+07 2.289711e+07 1.844311e+07 2.104881e+07
#> 28 2.251309e+07 3.900951e+07 1.818401e+07 1.336585e+07 1.448866e+07
#> 31 1.098128e+07 2.221034e+07 2.034267e+07 1.158421e+07 1.019689e+07
#> 34 1.012937e+07 2.217439e+07 2.668877e+07 1.503519e+07 1.180000e+07
#> 37 8.899277e+06 1.752603e+07 2.281517e+07 1.595079e+07 1.110103e+07
#> 40 7.397305e+06 1.143473e+07 1.665906e+07 1.678475e+07 1.042406e+07
#> 43 6.411979e+06 8.438798e+06 1.295497e+07 1.679675e+07 1.115755e+07
#> 46 5.103551e+06 6.937916e+06 9.775841e+06 1.434988e+07 1.195763e+07
#> 49 3.711798e+06 5.744134e+06 7.034776e+06 1.102490e+07 1.190958e+07
#> 52 2.597711e+06 4.597486e+06 5.202254e+06 8.127392e+06 1.061715e+07
#> 55 1.758693e+06 3.469535e+06 3.992325e+06 5.857972e+06 8.453748e+06
#> 58 1.135863e+06 2.459862e+06 3.032618e+06 4.181127e+06 6.186693e+06
#> 61 6.971815e+05 1.650001e+06 2.191826e+06 2.984740e+06 4.298920e+06
#> 64 4.079461e+05 1.051223e+06 1.482598e+06 2.105280e+06 2.897809e+06
#> 67 2.289202e+05 6.368461e+05 9.369914e+05 1.430594e+06 1.912250e+06
#> 70 1.242265e+05 3.677251e+05 5.559404e+05 9.185690e+05 1.233513e+06
#> 73 6.575890e+04 2.033173e+05 3.118130e+05 5.532027e+05 7.711281e+05
#> 76 3.417263e+04 1.083096e+05 1.666039e+05 3.129559e+05 4.625625e+05
#> 79 1.749362e+04 5.596179e+04 8.552640e+04 1.673404e+05 2.645225e+05
#> 82 8.834969e+03 2.821783e+04 4.256888e+04 8.527582e+04 1.440186e+05
#> 85 4.405112e+03 1.395383e+04 2.072555e+04 4.179309e+04 7.488754e+04
#> 88 2.169391e+03 6.789646e+03 9.944220e+03 1.988372e+04 3.742608e+04
#> 91 1.055595e+03 3.256946e+03 4.725936e+03 9.267884e+03 1.812414e+04
#> 94 5.076310e+02 1.541616e+03 2.230096e+03 4.267277e+03 8.580635e+03
#> 97 2.413386e+02 7.203078e+02 1.045303e+03 1.953749e+03 4.005594e+03
#> 100 1.134982e+02 3.323338e+02 4.863319e+02 8.932348e+02 1.856917e+03
#> 103 5.285576e+01 1.514868e+02 2.243990e+02 4.084833e+02 8.590111e+02
#> 106 2.441350e+01 6.828348e+01 1.026431e+02 1.867772e+02 3.974067e+02
#> 109 1.120729e+01 3.047803e+01 4.655529e+01 8.525106e+01 1.838282e+02
#> 112 5.125236e+00 1.349439e+01 2.095534e+01 3.876214e+01 8.486564e+01
#> 115 2.340179e+00 5.938715e+00 9.371366e+00 1.752383e+01 3.900183e+01
#> 118 1.068792e+00 2.603153e+00 4.168730e+00 7.865698e+00 1.779801e+01
#> 121 4.887636e-01 1.138600e+00 1.846338e+00 3.501966e+00 8.048019e+00
#> 124 2.238230e-01 4.976137e-01 8.146425e-01 1.545592e+00 3.600783e+00
#> 127 1.025501e-01 2.174482e-01 3.581028e-01 6.759773e-01 1.592585e+00
#> 130 4.693405e-02 9.500191e-02 1.567739e-01 2.929035e-01 6.960010e-01
#> 133 2.141184e-02 4.146655e-02 6.830470e-02 1.257170e-01 3.005123e-01
#> 136 9.715488e-03 1.805961e-02 2.958880e-02 5.344007e-02 1.282012e-01
#> 139 4.375233e-03 7.836007e-03 1.273080e-02 2.249428e-02 5.404851e-02
#> 142 1.951964e-03 3.381880e-03 5.435026e-03 9.374381e-03 2.252410e-02
#> 145 8.614846e-04 1.449584e-03 2.300286e-03 3.867454e-03 9.281249e-03
#> 148 3.757245e-04 6.162927e-04 9.644620e-04 1.579374e-03 3.782576e-03
#> 151 1.618219e-04 2.596225e-04 4.003881e-04 6.384299e-04 1.525178e-03
#> 154 6.879956e-05 1.082885e-04 1.645201e-04 2.554623e-04 6.086047e-04
#> 157 2.887104e-05 4.469852e-05 6.689937e-05 1.011981e-04 2.404170e-04
#> 160 1.195920e-05 1.825401e-05 2.691998e-05 3.969360e-05 9.404699e-05
#> 163 4.891099e-06 7.374701e-06 1.072055e-05 1.541941e-05 3.644307e-05
#> 166 1.975727e-06 2.947706e-06 4.226008e-06 5.933780e-06 1.399331e-05
#> 169 7.885837e-07 1.165887e-06 1.649398e-06 2.262763e-06 5.326043e-06
#> 172 3.111583e-07 4.564451e-07 6.375986e-07 8.553540e-07 2.010150e-06
#> 175 1.214359e-07 1.769377e-07 2.441982e-07 3.206251e-07 7.525504e-07
#> 178 4.690157e-08 6.794182e-08 9.270446e-08 1.192269e-07 2.795787e-07
#> 181 1.793592e-08 2.585198e-08 3.489524e-08 4.399652e-08 1.031001e-07
#> 184 6.795055e-09 9.751677e-09 1.302942e-08 1.611695e-08 3.775425e-08
#> 187 2.551897e-09 3.648890e-09 4.828770e-09 5.864916e-09 1.373585e-08
#> 190 9.504020e-10 1.354600e-09 1.776499e-09 2.120079e-09 4.966002e-09
#> 193 3.511708e-10 4.991084e-10 6.489605e-10 7.613523e-10 1.783824e-09
#> 196 1.288785e-10 1.828050e-10 2.358350e-10 2.723893e-10 6.384400e-10
#> 199 4.694067e-11 6.642948e-11 8.503722e-11 9.663390e-11 2.266239e-10
#> 202 1.699854e-11 2.401856e-11 3.053317e-11 3.419453e-11 8.025220e-11
#> 205 6.111129e-12 8.617732e-12 1.087349e-11 1.197265e-11 2.810412e-11
#> 208 2.188180e-12 3.082584e-12 3.866104e-12 4.201456e-12 9.871897e-12
#> 211 7.823794e-13 1.102019e-12 1.378655e-12 1.490524e-12 3.514422e-12
#> 214 2.760923e-13 3.882900e-13 4.813791e-13 5.082408e-13 1.195842e-12
#> 217 9.798263e-14 1.383957e-13 1.709386e-13 1.815487e-13 4.287291e-13
#> 220 3.420160e-14 4.792396e-14 5.872605e-14 6.002793e-14 1.415345e-13
#> 223 1.186657e-14 1.652907e-14 1.987980e-14 1.980860e-14 4.634850e-14
#> 226 4.132906e-15 5.788751e-15 7.003853e-15 7.113793e-15 1.633004e-14
#> 229 1.285668e-15 1.794750e-15 2.084021e-15 1.838132e-15 4.516467e-15
#> 232 6.032061e-16 8.256153e-16 1.010381e-15 1.019025e-15 2.527095e-15
#> 235 1.835115e-16 2.490832e-16 2.770506e-16 2.443383e-16 5.706124e-16
#> 238 4.506274e-17 6.728114e-17 7.421984e-17 4.720433e-17 1.211639e-16
#> year
#> length 11 12 13 14 15
#> 1 4.617074e-55 3.417951e-55 4.199008e-55 9.969891e-55 1.819182e-54
#> 4 5.584311e-15 4.133982e-15 5.078663e-15 1.205850e-14 2.200284e-14
#> 7 4.085965e-01 3.024779e-01 3.715989e-01 8.823039e-01 1.609918e+00
#> 10 1.705694e+05 1.262700e+05 1.551247e+05 3.683195e+05 6.720635e+05
#> 13 2.041438e+07 1.511246e+07 1.856590e+07 4.408184e+07 8.043506e+07
#> 16 4.685730e+07 3.469007e+07 4.261479e+07 1.011780e+08 1.846226e+08
#> 19 8.830944e+06 6.831027e+06 8.073140e+06 1.863374e+07 3.471414e+07
#> 22 5.842595e+06 7.613281e+06 5.781061e+06 7.733681e+06 2.210471e+07
#> 25 1.191637e+07 1.564107e+07 1.176268e+07 1.524404e+07 4.447706e+07
#> 28 9.110453e+06 1.026633e+07 8.251919e+06 1.009698e+07 2.798660e+07
#> 31 9.266314e+06 5.678223e+06 6.273225e+06 5.869488e+06 1.140649e+07
#> 34 1.212361e+07 5.992157e+06 7.290470e+06 6.191069e+06 8.766788e+06
#> 37 1.129176e+07 6.286836e+06 6.147484e+06 5.829975e+06 7.115358e+06
#> 40 9.992690e+06 6.835342e+06 4.683530e+06 5.331080e+06 5.380673e+06
#> 43 9.733416e+06 7.423877e+06 4.470303e+06 4.985900e+06 4.575984e+06
#> 46 9.577247e+06 7.410124e+06 4.915997e+06 4.340084e+06 4.005610e+06
#> 49 9.568944e+06 7.146294e+06 5.389030e+06 3.831799e+06 3.436860e+06
#> 52 9.628760e+06 6.939695e+06 5.597585e+06 3.756897e+06 2.936305e+06
#> 55 9.252095e+06 6.844540e+06 5.588958e+06 3.920420e+06 2.578797e+06
#> 58 8.167241e+06 6.762887e+06 5.545750e+06 4.086347e+06 2.415500e+06
#> 61 6.557798e+06 6.452027e+06 5.519281e+06 4.185285e+06 2.404087e+06
#> 64 4.834677e+06 5.736756e+06 5.395904e+06 4.227868e+06 2.450611e+06
#> 67 3.331275e+06 4.677733e+06 5.026944e+06 4.186737e+06 2.482742e+06
#> 70 2.182968e+06 3.500912e+06 4.364166e+06 3.988283e+06 2.457919e+06
#> 73 1.376888e+06 2.428363e+06 3.496950e+06 3.582813e+06 2.345193e+06
#> 76 8.403762e+05 1.580321e+06 2.587064e+06 2.997536e+06 2.127424e+06
#> 79 4.963769e+05 9.757239e+05 1.777705e+06 2.325983e+06 1.815511e+06
#> 82 2.830665e+05 5.764182e+05 1.144187e+06 1.677078e+06 1.449483e+06
#> 85 1.555107e+05 3.276195e+05 6.958394e+05 1.129493e+06 1.081830e+06
#> 88 8.227264e+04 1.797196e+05 4.030068e+05 7.153567e+05 7.567344e+05
#> 91 4.199423e+04 9.532394e+04 2.237253e+05 4.290484e+05 4.982960e+05
#> 94 2.076156e+04 4.895644e+04 1.196409e+05 2.452787e+05 3.104898e+05
#> 97 9.994930e+03 2.438728e+04 6.186170e+04 1.344104e+05 1.840369e+05
#> 100 4.713562e+03 1.181054e+04 3.101530e+04 7.093269e+04 1.042767e+05
#> 103 2.190344e+03 5.577135e+03 1.511368e+04 3.618437e+04 5.672585e+04
#> 106 1.007944e+03 2.576749e+03 7.174059e+03 1.789588e+04 2.973804e+04
#> 109 4.609673e+02 1.169014e+03 3.324583e+03 8.602191e+03 1.507190e+04
#> 112 2.099124e+02 5.225949e+02 1.507692e+03 4.027299e+03 7.405215e+03
#> 115 9.521091e+01 2.309045e+02 6.707393e+02 1.840002e+03 3.535577e+03
#> 118 4.297881e+01 1.010782e+02 2.934412e+02 8.219451e+02 1.643874e+03
#> 121 1.927943e+01 4.390723e+01 1.265375e+02 3.596632e+02 7.457991e+02
#> 124 8.579809e+00 1.894206e+01 5.389438e+01 1.544460e+02 3.307721e+02
#> 127 3.782157e+00 8.117159e+00 2.271101e+01 6.520236e+01 1.436678e+02
#> 130 1.649513e+00 3.454105e+00 9.481182e+00 2.710798e+01 6.121372e+01
#> 133 7.111586e-01 1.458726e+00 3.924684e+00 1.111642e+01 2.562689e+01
#> 136 3.029466e-01 6.109862e-01 1.611688e+00 4.502809e+00 1.055746e+01
#> 139 1.274904e-01 2.536521e-01 6.567129e-01 1.803798e+00 4.286006e+00
#> 142 5.300553e-02 1.043222e-01 2.655079e-01 7.153649e-01 1.716870e+00
#> 145 2.177647e-02 4.249084e-02 1.064927e-01 2.811041e-01 6.793931e-01
#> 148 8.843260e-03 1.713610e-02 4.236572e-02 1.095199e-01 2.658616e-01
#> 151 3.551089e-03 6.842398e-03 1.671384e-02 4.232766e-02 1.029762e-01
#> 154 1.410639e-03 2.705321e-03 6.537945e-03 1.623399e-02 3.951014e-02
#> 157 5.545811e-04 1.059304e-03 2.535575e-03 6.180439e-03 1.502677e-02
#> 160 2.158734e-04 4.108875e-04 9.749489e-04 2.336157e-03 5.668408e-03
#> 163 8.323552e-05 1.579276e-04 3.716995e-04 8.769026e-04 2.121831e-03
#> 166 3.180401e-05 6.016933e-05 1.405310e-04 3.269180e-04 7.884998e-04
#> 169 1.204748e-05 2.273149e-05 5.269963e-05 1.210680e-04 2.910017e-04
#> 172 4.526269e-06 8.519023e-06 1.960733e-05 4.454547e-05 1.066939e-04
#> 175 1.687232e-06 3.168161e-06 7.239629e-06 1.628624e-05 3.887389e-05
#> 178 6.243048e-07 1.169748e-06 2.653834e-06 5.918458e-06 1.407966e-05
#> 181 2.293657e-07 4.288810e-07 9.660283e-07 2.137934e-06 5.070305e-06
#> 184 8.370258e-08 1.562120e-07 3.492768e-07 7.678111e-07 1.815739e-06
#> 187 3.035918e-08 5.656675e-08 1.255639e-07 2.743786e-07 6.470892e-07
#> 190 1.094349e-08 2.035803e-08 4.485231e-08 9.752662e-08 2.294164e-07
#> 193 3.921644e-09 7.282903e-09 1.591895e-08 3.443279e-08 8.087826e-08
#> 196 1.399919e-09 2.598225e-09 5.643108e-09 1.217655e-08 2.850083e-08
#> 199 4.961012e-10 9.190832e-10 1.978504e-09 4.245026e-09 9.935596e-09
#> 202 1.753721e-10 3.245825e-10 6.936115e-10 1.485197e-09 3.470736e-09
#> 205 6.127196e-11 1.133951e-10 2.400998e-10 5.093616e-10 1.185935e-09
#> 208 2.149731e-11 3.975820e-11 8.355125e-11 1.771004e-10 4.119990e-10
#> 211 7.670628e-12 1.419337e-11 2.949077e-11 6.355072e-11 1.488899e-10
#> 214 2.594782e-12 4.793516e-12 9.948915e-12 2.089934e-11 4.811019e-11
#> 217 9.371222e-13 1.737016e-12 3.594720e-12 7.453327e-12 1.772653e-11
#> 220 3.050324e-13 5.623704e-13 1.145038e-12 2.414431e-12 5.488877e-12
#> 223 9.948087e-14 1.817436e-13 3.618802e-13 7.568296e-13 1.772847e-12
#> 226 3.560697e-14 6.498389e-14 1.312880e-13 2.751638e-13 6.403624e-13
#> 229 9.468291e-15 1.767938e-14 3.188350e-14 6.628600e-14 1.539067e-13
#> 232 4.996969e-15 9.346221e-15 1.852213e-14 3.931967e-14 9.470080e-14
#> 235 1.353282e-15 2.205973e-15 4.188778e-15 7.946306e-15 1.904353e-14
#> 238 2.521082e-16 5.601730e-16 7.119743e-16 1.581959e-15 3.016984e-15
#> year
#> length 16 17 18 19 20
#> 1 2.091742e-54 1.503370e-54 1.240115e-54 1.749644e-54 9.216524e-55
#> 4 2.529944e-14 1.818314e-14 1.499909e-14 2.116180e-14 1.114731e-14
#> 7 1.851126e+00 1.330435e+00 1.097463e+00 1.548380e+00 8.156332e-01
#> 10 7.727559e+05 5.553928e+05 4.581381e+05 6.463742e+05 3.404877e+05
#> 13 9.248629e+07 6.647148e+07 5.483166e+07 7.736046e+07 4.075083e+07
#> 16 2.122931e+08 1.525905e+08 1.258684e+08 1.775663e+08 9.355447e+07
#> 19 4.109031e+07 3.103166e+07 2.534320e+07 3.348258e+07 2.000021e+07
#> 22 3.858292e+07 4.453315e+07 3.388781e+07 2.233521e+07 3.823539e+07
#> 25 7.880826e+07 9.213258e+07 7.025704e+07 4.540691e+07 7.935639e+07
#> 28 5.061055e+07 6.209344e+07 5.013381e+07 3.287919e+07 5.214664e+07
#> 31 2.406411e+07 3.932360e+07 4.073515e+07 2.825006e+07 2.891553e+07
#> 34 2.098997e+07 4.154094e+07 4.879572e+07 3.518798e+07 2.960005e+07
#> 37 1.573131e+07 3.254661e+07 4.184669e+07 3.272632e+07 2.773021e+07
#> 40 9.151921e+06 2.004573e+07 3.110013e+07 2.860078e+07 2.555686e+07
#> 43 5.657586e+06 1.286848e+07 2.390488e+07 2.597104e+07 2.471975e+07
#> 46 3.921725e+06 8.319831e+06 1.669037e+07 2.158826e+07 2.238182e+07
#> 49 2.861509e+06 5.006522e+06 1.013218e+07 1.626164e+07 1.903051e+07
#> 52 2.245445e+06 3.027390e+06 5.790085e+06 1.136930e+07 1.541641e+07
#> 55 1.880116e+06 2.025805e+06 3.339397e+06 7.328186e+06 1.169060e+07
#> 58 1.624031e+06 1.526016e+06 1.997194e+06 4.379319e+06 8.208707e+06
#> 61 1.437088e+06 1.251974e+06 1.273232e+06 2.516459e+06 5.350261e+06
#> 64 1.318034e+06 1.083337e+06 8.959786e+05 1.463906e+06 3.273461e+06
#> 67 1.254880e+06 9.739840e+05 7.035104e+05 9.074703e+05 1.922965e+06
#> 70 1.219728e+06 9.040131e+05 6.025892e+05 6.237161e+05 1.124678e+06
#> 73 1.182031e+06 8.570507e+05 5.445213e+05 4.811696e+05 6.859135e+05
#> 76 1.118392e+06 8.155489e+05 5.053768e+05 4.081786e+05 4.554798e+05
#> 79 1.016929e+06 7.642260e+05 4.724776e+05 3.671091e+05 3.358134e+05
#> 82 8.790864e+05 6.939955e+05 4.377357e+05 3.382385e+05 2.706947e+05
#> 85 7.179938e+05 6.037035e+05 3.959598e+05 3.108681e+05 2.298155e+05
#> 88 5.527608e+05 4.993521e+05 3.453238e+05 2.794257e+05 1.978605e+05
#> 91 4.013244e+05 3.911942e+05 2.876706e+05 2.421823e+05 1.680607e+05
#> 94 2.754222e+05 2.898864e+05 2.275909e+05 2.005203e+05 1.384643e+05
#> 97 1.792566e+05 2.033277e+05 1.705492e+05 1.577683e+05 1.096099e+05
#> 100 1.110501e+05 1.352482e+05 1.210173e+05 1.176984e+05 8.296724e+04
#> 103 6.572490e+04 8.554418e+04 8.141719e+04 8.325208e+04 5.993131e+04
#> 106 3.729280e+04 5.160470e+04 5.205416e+04 5.591024e+04 4.130514e+04
#> 109 2.035156e+04 2.978460e+04 3.171785e+04 3.572962e+04 2.718628e+04
#> 112 1.071297e+04 1.649833e+04 1.847578e+04 2.178604e+04 1.711512e+04
#> 115 5.453833e+03 8.796601e+03 1.032077e+04 1.271171e+04 1.032668e+04
#> 118 2.691577e+03 4.527059e+03 5.545674e+03 7.118478e+03 5.984865e+03
#> 121 1.290536e+03 2.254534e+03 2.874653e+03 3.836916e+03 3.339362e+03
#> 124 6.023726e+02 1.089090e+03 1.441382e+03 1.996136e+03 1.798026e+03
#> 127 2.742239e+02 5.114270e+02 7.008433e+02 1.004946e+03 9.363496e+02
#> 130 1.219703e+02 2.339316e+02 3.312137e+02 4.907899e+02 4.726511e+02
#> 133 5.309206e+01 1.044205e+02 1.524597e+02 2.330381e+02 2.317442e+02
#> 136 2.265218e+01 4.556395e+01 6.848523e+01 1.078048e+02 1.105852e+02
#> 139 9.487102e+00 1.946655e+01 3.007451e+01 4.868080e+01 5.145257e+01
#> 142 3.905712e+00 8.155193e+00 1.293184e+01 2.149543e+01 2.338235e+01
#> 145 1.582602e+00 3.354741e+00 5.452867e+00 9.296094e+00 1.039534e+01
#> 148 6.319348e-01 1.356829e+00 2.257793e+00 3.943308e+00 4.528016e+00
#> 151 2.489362e-01 5.402038e-01 9.191444e-01 1.642912e+00 1.935083e+00
#> 154 9.684309e-02 2.119569e-01 3.683230e-01 6.731347e-01 8.124087e-01
#> 157 3.724158e-02 8.204537e-02 1.454414e-01 2.715325e-01 3.354698e-01
#> 160 1.416923e-02 3.136216e-02 5.664969e-02 1.079528e-01 1.364020e-01
#> 163 5.337907e-03 1.184962e-02 2.178530e-02 4.234139e-02 5.466721e-02
#> 166 1.992598e-03 4.429183e-03 8.278766e-03 1.639874e-02 2.161680e-02
#> 169 7.375338e-04 1.639130e-03 3.111424e-03 6.276801e-03 8.441229e-03
#> 172 2.708463e-04 6.010355e-04 1.157383e-03 2.376248e-03 3.257877e-03
#> 175 9.873777e-05 2.185182e-04 4.264146e-04 8.904135e-04 1.243712e-03
#> 178 3.575092e-05 7.882432e-05 1.557103e-04 3.304748e-04 4.699810e-04
#> 181 1.286286e-05 2.822815e-05 5.639089e-05 1.215664e-04 1.759200e-04
#> 184 4.600393e-06 1.004129e-05 2.026575e-05 4.434861e-05 6.526871e-05
#> 187 1.636504e-06 3.550101e-06 7.231550e-06 1.605427e-05 2.401676e-05
#> 190 5.791669e-07 1.248111e-06 2.563571e-06 5.770037e-06 8.769831e-06
#> 193 2.038613e-07 4.363486e-07 9.031862e-07 2.059930e-06 3.179517e-06
#> 196 7.159638e-08 1.520275e-07 3.165423e-07 7.309126e-07 1.145163e-06
#> 199 2.494994e-08 5.262093e-08 1.102927e-07 2.578278e-07 4.099026e-07
#> 202 8.691793e-09 1.818020e-08 3.828580e-08 9.048523e-08 1.458886e-07
#> 205 2.979123e-09 6.198243e-09 1.315305e-08 3.152982e-08 5.161901e-08
#> 208 1.032377e-09 2.129430e-09 4.532220e-09 1.096782e-08 1.818892e-08
#> 211 3.723156e-10 7.538608e-10 1.592171e-09 3.841786e-09 6.401181e-09
#> 214 1.203794e-10 2.459198e-10 5.295123e-10 1.306494e-09 2.232785e-09
#> 217 4.499685e-11 9.235599e-11 1.888954e-10 4.667335e-10 7.868373e-10
#> 220 1.356418e-11 2.687191e-11 5.964420e-11 1.509619e-10 2.674871e-10
#> 223 4.169672e-12 7.855353e-12 1.783972e-11 4.864933e-11 8.828768e-11
#> 226 1.470172e-12 2.965707e-12 6.621055e-12 1.744616e-11 3.095752e-11
#> 229 3.885105e-13 6.228959e-13 1.410035e-12 4.118103e-12 8.609806e-12
#> 232 2.342340e-13 3.494733e-13 9.411344e-13 2.700662e-12 4.823202e-12
#> 235 4.874302e-14 8.877297e-14 1.312231e-13 5.293868e-13 1.166924e-12
#> 238 8.112926e-15 1.369665e-14 2.949347e-14 5.123823e-14 2.075366e-13
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604dfcd7840>
#>
growth_fun <- sim_vonB(Linf = 100, L0 = 5, K = 0.2, log_sd = 0.05, length_group = 1, plot = TRUE)
growth_fun(age = rep(1:15, each = 100))
#> [1] 21 21 22 20 22 22 23 22 24 22 23 21 23 21 24 24 21 22
#> [19] 23 21 23 23 20 22 22 21 20 23 22 23 20 22 22 23 22 23
#> [37] 23 21 22 23 23 20 22 23 20 22 21 23 22 22 22 21 21 21
#> [55] 22 24 22 22 22 22 23 23 23 22 21 22 24 24 20 22 20 22
#> [73] 22 22 24 22 22 22 24 22 22 23 24 22 22 22 21 22 21 23
#> [91] 20 21 23 24 21 25 21 24 22 24 35 36 35 37 35 37 36 38
#> [109] 37 36 36 37 35 39 36 35 39 35 35 35 34 39 39 34 39 35
#> [127] 33 37 37 35 36 40 36 36 34 35 36 33 33 38 40 38 35 35
#> [145] 35 36 38 38 36 33 34 38 38 36 38 36 36 38 37 36 38 37
#> [163] 36 38 40 38 36 41 38 37 35 38 36 33 39 36 36 38 40 38
#> [181] 37 37 40 37 35 36 39 35 36 40 37 31 38 38 37 36 37 36
#> [199] 36 35 51 54 46 49 50 47 48 49 47 49 47 47 47 45 46 46
#> [217] 48 51 48 49 51 43 47 50 50 45 49 48 46 51 51 48 47 45
#> [235] 47 47 45 49 46 49 48 49 45 44 50 47 48 48 48 48 49 48
#> [253] 51 48 46 46 47 45 51 50 45 47 54 49 48 48 48 49 48 45
#> [271] 48 48 51 46 49 49 51 49 50 49 48 48 52 51 50 45 48 48
#> [289] 48 50 49 48 46 46 52 48 47 42 48 52 62 56 52 55 54 54
#> [307] 58 58 57 55 57 56 60 56 59 62 55 59 56 52 55 59 64 60
#> [325] 59 54 57 52 56 60 57 56 55 57 53 59 64 55 54 58 58 54
#> [343] 63 55 60 57 60 55 62 53 54 60 59 57 55 59 56 60 62 53
#> [361] 62 55 59 59 61 57 55 58 58 61 61 59 57 58 54 54 60 54
#> [379] 61 61 53 54 55 58 62 57 60 54 57 60 56 57 56 57 57 57
#> [397] 60 58 59 57 65 67 68 67 62 63 67 66 67 64 68 68 65 67
#> [415] 63 59 72 69 69 62 61 67 64 68 69 61 62 70 69 65 66 67
#> [433] 73 61 67 68 67 61 72 69 68 65 63 62 68 66 64 63 70 65
#> [451] 61 65 66 65 68 72 61 64 63 68 68 64 62 66 72 67 64 61
#> [469] 63 66 70 67 65 70 68 64 67 64 67 61 68 71 69 71 59 62
#> [487] 66 65 66 60 62 62 62 69 66 66 67 66 70 70 74 70 72 77
#> [505] 64 71 68 66 68 72 77 76 76 70 75 78 81 74 67 74 67 71
#> [523] 68 73 69 70 69 70 76 66 72 68 72 70 71 78 77 74 74 71
#> [541] 68 77 68 69 67 67 73 71 74 71 70 71 72 69 73 80 71 72
#> [559] 76 81 75 70 74 76 74 71 72 72 72 74 68 79 73 74 69 69
#> [577] 64 68 73 68 75 75 72 77 76 66 69 77 74 70 75 70 80 68
#> [595] 74 71 71 69 70 73 78 77 81 70 83 77 75 80 73 84 75 84
#> [613] 76 74 81 82 82 77 78 74 73 75 72 77 79 83 76 76 70 70
#> [631] 79 77 74 84 80 70 82 73 79 76 75 76 76 81 80 84 74 76
#> [649] 74 82 75 70 78 86 78 80 89 73 79 80 69 84 81 86 79 76
#> [667] 79 78 80 74 80 71 79 71 72 78 77 78 78 75 73 80 74 71
#> [685] 71 76 77 81 78 78 76 75 77 77 76 76 82 80 78 84 78 76
#> [703] 86 89 79 78 81 78 77 86 82 88 84 77 76 83 74 79 81 89
#> [721] 86 82 76 83 81 78 84 79 78 82 84 80 84 88 79 81 79 82
#> [739] 89 80 78 88 81 80 87 77 81 82 85 79 83 79 79 80 85 81
#> [757] 84 82 81 78 85 79 79 83 76 76 84 81 88 85 78 88 78 84
#> [775] 77 85 78 79 86 82 91 78 79 86 83 82 77 73 82 74 80 84
#> [793] 76 85 72 88 77 78 82 79 92 80 83 86 90 87 86 88 75 86
#> [811] 86 88 88 95 89 82 85 85 86 81 86 87 78 93 83 81 85 85
#> [829] 82 81 85 88 86 89 83 81 84 80 78 89 81 77 79 83 90 87
#> [847] 87 89 82 89 90 83 86 83 85 87 83 89 82 87 81 79 87 79
#> [865] 81 84 86 88 80 89 83 88 85 83 83 86 86 85 85 80 85 75
#> [883] 87 82 96 78 90 83 82 90 81 83 91 87 82 91 87 82 85 85
#> [901] 89 94 81 90 91 90 84 87 89 83 93 83 92 89 80 90 83 86
#> [919] 82 82 84 88 79 85 84 92 86 87 88 92 88 85 88 87 89 85
#> [937] 91 86 92 94 81 86 87 93 88 84 89 93 89 92 95 93 87 95
#> [955] 89 84 87 90 89 89 82 82 92 88 86 80 90 85 84 91 92 84
#> [973] 88 80 90 91 83 97 89 82 87 86 88 94 92 90 82 84 95 93
#> [991] 85 88 90 85 91 88 90 89 85 84 94 78 90 87 86 95 93 89
#> [1009] 88 87 92 92 94 87 94 93 89 82 87 95 88 90 94 92 97 87
#> [1027] 91 90 93 86 89 83 91 89 92 84 84 94 88 86 88 92 90 91
#> [1045] 90 86 98 96 86 92 90 91 87 92 77 91 87 93 85 85 90 99
#> [1063] 83 89 82 87 83 92 93 84 91 88 86 95 90 89 98 89 92 87
#> [1081] 87 89 86 95 91 89 96 99 92 91 95 88 90 84 93 90 89 89
#> [1099] 92 83 89 90 87 98 94 93 85 88 99 99 94 97 91 85 99 92
#> [1117] 95 91 90 88 85 96 93 86 91 90 100 103 97 92 103 91 102 97
#> [1135] 88 96 94 86 94 87 93 93 88 92 86 87 96 85 94 95 87 87
#> [1153] 95 89 94 96 95 94 94 86 102 86 86 91 89 89 92 94 95 90
#> [1171] 94 87 89 92 95 85 91 86 85 93 96 88 95 96 98 93 93 89
#> [1189] 99 87 92 88 97 91 89 97 90 94 87 98 91 98 100 93 92 91
#> [1207] 96 94 93 87 91 92 91 91 97 91 87 96 95 88 100 88 89 95
#> [1225] 90 92 95 92 88 97 92 94 100 95 90 97 98 87 86 93 93 94
#> [1243] 96 93 90 94 99 92 90 99 90 93 96 89 88 89 95 95 94 88
#> [1261] 88 95 90 83 88 93 100 99 95 103 95 97 90 93 89 94 88 92
#> [1279] 91 95 97 99 102 100 94 98 91 86 92 96 92 100 91 98 98 99
#> [1297] 108 89 89 90 89 96 100 90 97 91 93 98 96 91 96 91 91 93
#> [1315] 97 93 86 95 98 99 94 86 96 86 100 89 91 99 99 91 95 96
#> [1333] 93 90 100 92 96 97 97 100 94 89 84 101 97 91 87 95 85 93
#> [1351] 97 84 93 99 95 90 88 93 87 100 88 94 99 92 91 103 95 86
#> [1369] 90 99 83 94 99 93 84 93 89 94 88 89 87 86 100 90 92 90
#> [1387] 91 95 110 97 100 96 83 89 97 96 94 98 97 95 97 97 94 97
#> [1405] 99 98 90 101 96 95 100 88 98 97 86 100 92 94 93 88 92 94
#> [1423] 93 85 89 91 105 87 95 92 90 96 94 94 100 105 92 95 97 100
#> [1441] 100 98 96 91 101 100 101 82 88 100 98 92 92 96 92 96 92 96
#> [1459] 97 100 95 93 100 86 98 96 102 97 95 111 96 93 94 95 97 91
#> [1477] 92 88 83 103 95 99 99 88 96 99 91 90 98 97 89 95 100 95
#> [1495] 92 87 99 93 94 91
growth_fun(age = 1:15, length_age_key = TRUE)
#> age
#> length 1 2 3 4 5
#> 3 4.740726e-258 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 4 7.601391e-196 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 5 1.959630e-151 2.718312e-284 0.000000e+00 0.000000e+00 0.000000e+00
#> 6 2.201423e-118 4.234724e-238 0.000000e+00 0.000000e+00 0.000000e+00
#> 7 4.384115e-93 2.027724e-201 1.215111e-280 0.000000e+00 0.000000e+00
#> 8 2.467860e-73 1.238598e-171 3.249711e-245 2.159937e-300 0.000000e+00
#> 9 1.056136e-57 4.987046e-147 1.453104e-215 1.906653e-267 2.800145e-307
#> 10 3.229550e-45 1.981088e-126 2.112580e-190 2.651512e-239 4.846999e-277
#> 11 3.437733e-35 5.331186e-109 8.318334e-169 5.489889e-215 8.203908e-251
#> 12 4.039040e-27 3.996699e-94 4.224630e-150 8.870083e-194 7.612458e-228
#> 13 1.241390e-20 2.419601e-81 8.990787e-134 3.914404e-175 1.428250e-207
#> 14 1.930303e-15 2.681063e-70 1.989121e-119 1.241706e-158 1.486363e-189
#> 15 2.539301e-11 1.031834e-60 9.337175e-107 6.060281e-144 1.898990e-173
#> 16 4.249111e-08 2.295797e-52 1.642793e-95 8.358196e-131 5.622192e-159
#> 17 1.256082e-05 4.453615e-45 1.716259e-85 5.329610e-119 6.455553e-146
#> 18 8.566891e-04 1.053399e-38 1.551484e-76 2.352313e-108 4.386352e-134
#> 19 1.674458e-02 4.006363e-33 1.657123e-68 1.003926e-98 2.503678e-123
#> 20 1.116395e-01 3.085406e-28 2.712620e-61 5.479675e-90 1.609711e-113
#> 21 2.916718e-01 5.840337e-24 8.472918e-55 4.842909e-82 1.493418e-104
#> 22 3.338230e-01 3.202027e-20 6.082779e-49 8.469639e-75 2.468428e-96
#> 23 1.835570e-01 5.849305e-17 1.176799e-43 3.480326e-68 8.708022e-89
#> 24 5.248673e-02 4.015121e-14 7.035774e-39 3.896321e-62 7.662165e-82
#> 25 8.367879e-03 1.148888e-11 1.463620e-34 1.351140e-56 1.925023e-75
#> 26 7.914435e-04 1.499357e-09 1.174579e-30 1.623067e-51 1.553821e-69
#> 27 4.693976e-05 9.650684e-08 3.980112e-27 7.449444e-47 4.468529e-64
#> 28 1.834322e-06 3.280021e-06 6.165070e-24 1.424042e-42 5.015280e-59
#> 29 4.936159e-08 6.248718e-05 4.681992e-21 1.223621e-38 2.381219e-54
#> 30 9.513693e-10 7.031664e-04 1.854894e-18 5.056898e-35 5.137743e-50
#> 31 1.360034e-11 4.894712e-03 4.050900e-16 1.067607e-31 5.369553e-46
#> 32 1.487699e-13 2.195540e-02 5.122449e-14 1.215139e-28 2.878068e-42
#> 33 1.332268e-15 6.580873e-02 3.919079e-12 7.825379e-26 8.327706e-39
#> 34 0.000000e+00 1.361653e-01 1.887033e-10 2.977919e-23 1.362247e-35
#> 35 0.000000e+00 2.002515e-01 5.924343e-09 6.963960e-21 1.313378e-32
#> 36 0.000000e+00 2.149147e-01 1.252048e-07 1.036834e-18 7.750139e-30
#> 37 0.000000e+00 1.723953e-01 1.833322e-06 1.014849e-16 2.896549e-27
#> 38 0.000000e+00 1.056343e-01 1.909115e-05 6.723302e-15 7.073358e-25
#> 39 0.000000e+00 5.043487e-02 1.447773e-04 3.095748e-13 1.161100e-22
#> 40 0.000000e+00 1.910702e-02 8.170049e-04 1.014965e-11 1.314838e-20
#> 41 0.000000e+00 5.840133e-03 3.499230e-03 2.422346e-10 1.051813e-18
#> 42 0.000000e+00 1.462381e-03 1.158215e-02 4.294485e-09 6.074610e-17
#> 43 0.000000e+00 3.042364e-04 3.012153e-02 5.761603e-08 2.584014e-15
#> 44 0.000000e+00 5.327167e-05 6.249744e-02 5.950475e-07 8.246297e-14
#> 45 0.000000e+00 7.945065e-06 1.049194e-01 4.805873e-06 2.008072e-12
#> 46 0.000000e+00 1.020463e-06 1.443790e-01 3.079758e-05 3.790196e-11
#> 47 0.000000e+00 1.140286e-07 1.648291e-01 1.587167e-04 5.626040e-10
#> 48 0.000000e+00 1.119010e-08 1.578671e-01 6.660386e-04 6.656382e-09
#> 49 0.000000e+00 9.728401e-10 1.281675e-01 2.302335e-03 6.356012e-08
#> 50 0.000000e+00 7.553402e-11 8.905925e-02 6.626711e-03 4.955393e-07
#> 51 0.000000e+00 5.277001e-12 5.344314e-02 1.604114e-02 3.188653e-06
#> 52 0.000000e+00 3.340661e-13 2.792870e-02 3.296350e-02 1.710583e-05
#> 53 0.000000e+00 1.920686e-14 1.280993e-02 5.800664e-02 7.722740e-05
#> 54 0.000000e+00 1.110223e-15 5.194558e-03 8.812670e-02 2.960096e-04
#> 55 0.000000e+00 0.000000e+00 1.875082e-03 1.164758e-01 9.712274e-04
#> 56 0.000000e+00 0.000000e+00 6.063678e-04 1.348860e-01 2.748945e-03
#> 57 0.000000e+00 0.000000e+00 1.767240e-04 1.377888e-01 6.760586e-03
#> 58 0.000000e+00 0.000000e+00 4.668060e-05 1.249432e-01 1.454549e-02
#> 59 0.000000e+00 0.000000e+00 1.123432e-05 1.011658e-01 2.755338e-02
#> 60 0.000000e+00 0.000000e+00 2.475575e-06 7.355243e-02 4.623148e-02
#> 61 0.000000e+00 0.000000e+00 5.018160e-07 4.827034e-02 6.910026e-02
#> 62 0.000000e+00 0.000000e+00 9.398377e-08 2.873631e-02 9.249606e-02
#> 63 0.000000e+00 0.000000e+00 1.633016e-08 1.559099e-02 1.114450e-01
#> 64 0.000000e+00 0.000000e+00 2.642672e-09 7.743197e-03 1.214403e-01
#> 65 0.000000e+00 0.000000e+00 3.997609e-10 3.534892e-03 1.202230e-01
#> 66 0.000000e+00 0.000000e+00 5.672329e-11 1.489183e-03 1.085893e-01
#> 67 0.000000e+00 0.000000e+00 7.574275e-12 5.810996e-04 8.984930e-02
#> 68 0.000000e+00 0.000000e+00 9.547918e-13 2.107713e-04 6.836479e-02
#> 69 0.000000e+00 0.000000e+00 1.139089e-13 7.129817e-05 4.800821e-02
#> 70 0.000000e+00 0.000000e+00 1.287859e-14 2.256434e-05 3.122181e-02
#> 71 0.000000e+00 0.000000e+00 1.443290e-15 6.701083e-06 1.886595e-02
#> 72 0.000000e+00 0.000000e+00 1.110223e-16 1.872749e-06 1.062491e-02
#> 73 0.000000e+00 0.000000e+00 0.000000e+00 4.938533e-07 5.593425e-03
#> 74 0.000000e+00 0.000000e+00 0.000000e+00 1.232007e-07 2.760290e-03
#> 75 0.000000e+00 0.000000e+00 0.000000e+00 2.914627e-08 1.280308e-03
#> 76 0.000000e+00 0.000000e+00 0.000000e+00 6.554099e-09 5.595772e-04
#> 77 0.000000e+00 0.000000e+00 0.000000e+00 1.403978e-09 2.310162e-04
#> 78 0.000000e+00 0.000000e+00 0.000000e+00 2.871017e-10 9.029478e-05
#> 79 0.000000e+00 0.000000e+00 0.000000e+00 5.615741e-11 3.348694e-05
#> 80 0.000000e+00 0.000000e+00 0.000000e+00 1.052691e-11 1.180841e-05
#> 81 0.000000e+00 0.000000e+00 0.000000e+00 1.894485e-12 3.967162e-06
#> 82 0.000000e+00 0.000000e+00 0.000000e+00 3.279599e-13 1.272244e-06
#> 83 0.000000e+00 0.000000e+00 0.000000e+00 5.462297e-14 3.901715e-07
#> 84 0.000000e+00 0.000000e+00 0.000000e+00 8.881784e-15 1.146286e-07
#> 85 0.000000e+00 0.000000e+00 0.000000e+00 1.332268e-15 3.231516e-08
#> 86 0.000000e+00 0.000000e+00 0.000000e+00 2.220446e-16 8.755656e-09
#> 87 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.283508e-09
#> 88 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 5.740933e-10
#> 89 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.393271e-10
#> 90 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.268463e-11
#> 91 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 7.421064e-12
#> 92 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.632805e-12
#> 93 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.484990e-13
#> 94 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 7.227552e-14
#> 95 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.454392e-14
#> 96 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.886580e-15
#> 97 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 5.551115e-16
#> 98 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16
#> 99 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 100 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 101 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 102 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 103 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 104 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 105 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 106 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 107 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 108 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 109 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 110 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 111 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 112 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 113 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 114 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 115 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 116 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 117 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 118 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 119 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 120 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 121 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 122 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 123 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 124 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 125 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 126 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 127 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 128 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 129 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 130 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 131 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 132 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 133 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 134 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 135 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 136 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 137 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 138 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 139 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 140 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 141 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 142 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 143 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 144 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> age
#> length 6 7 8 9 10
#> 3 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 4 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 5 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 6 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 7 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 8 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 9 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 10 1.664241e-306 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 11 7.134282e-279 4.809871e-301 0.000000e+00 0.000000e+00 0.000000e+00
#> 12 1.293977e-254 8.226423e-276 1.052612e-292 3.078892e-306 0.000000e+00
#> 13 3.805851e-233 1.931603e-253 1.222571e-269 1.245163e-282 4.305368e-293
#> 14 5.133581e-214 1.801909e-233 5.051512e-249 1.643500e-261 1.419966e-271
#> 15 7.203301e-197 1.543136e-215 1.740412e-230 1.678031e-242 3.414534e-252
#> 16 2.024954e-181 2.372162e-199 9.891113e-214 2.645754e-225 1.203705e-234
#> 17 1.940685e-167 1.127951e-184 1.613369e-198 1.129344e-209 1.097069e-218
#> 18 9.810687e-155 2.593924e-171 1.190551e-184 2.070159e-195 4.121069e-204
#> 19 3.757764e-143 4.181100e-159 5.799720e-172 2.390677e-182 9.399755e-191
#> 20 1.477076e-132 6.446818e-148 2.560375e-160 2.398566e-170 1.801728e-178
#> 21 7.699221e-123 1.236760e-137 1.339012e-149 2.743764e-159 3.820519e-167
#> 22 6.620006e-114 3.692887e-128 1.042311e-139 4.511590e-149 1.132931e-156
#> 23 1.132220e-105 2.079811e-119 1.469021e-130 1.300992e-139 5.745432e-147
#> 24 4.527183e-98 2.607972e-111 4.439855e-122 7.812730e-131 5.929142e-138
#> 25 4.869286e-91 8.409649e-104 3.333273e-114 1.134391e-122 1.448256e-129
#> 26 1.592274e-84 7.908506e-97 7.068252e-107 4.537491e-115 9.555235e-122
#> 27 1.762534e-78 2.422221e-90 4.738729e-100 5.606844e-108 1.912305e-114
#> 28 7.260100e-73 2.663335e-84 1.109461e-93 2.367918e-101 1.286009e-107
#> 29 1.210130e-67 1.145991e-78 9.906572e-88 3.738118e-95 3.181948e-101
#> 30 8.793369e-63 2.083423e-73 3.648576e-82 2.388776e-89 3.140159e-95
#> 31 2.976953e-58 1.713687e-68 5.944142e-77 6.634777e-84 1.328370e-89
#> 32 4.983302e-54 6.780432e-64 4.560726e-72 8.536638e-79 2.569480e-84
#> 33 4.351060e-50 1.363539e-59 1.743477e-67 5.388171e-74 2.408521e-79
#> 34 2.079265e-46 1.464584e-55 3.493706e-63 1.756828e-69 1.152872e-74
#> 35 5.679999e-43 8.787757e-52 3.842212e-59 3.100586e-65 2.954682e-70
#> 36 9.226136e-40 3.067711e-48 2.417555e-55 3.090203e-61 4.232527e-66
#> 37 9.235559e-37 6.464961e-45 9.038583e-52 1.807546e-57 3.523837e-62
#> 38 5.886049e-34 8.506367e-42 2.078367e-48 6.426844e-54 1.766954e-58
#> 39 2.460412e-31 7.205888e-39 3.033273e-45 1.434298e-50 5.512616e-55
#> 40 6.931303e-29 4.042019e-36 2.891864e-42 2.069013e-47 1.102429e-51
#> 41 1.349135e-26 1.540502e-33 1.849239e-39 1.981816e-44 1.452355e-48
#> 42 1.856314e-24 4.084621e-31 8.126386e-37 1.292075e-41 1.292513e-45
#> 43 1.843858e-22 7.700503e-29 2.509532e-34 5.865856e-39 7.952160e-43
#> 44 1.347995e-20 1.053117e-26 5.559365e-32 1.893749e-36 3.455361e-40
#> 45 7.383952e-19 1.064307e-24 9.004458e-30 4.432960e-34 1.081499e-37
#> 46 3.081041e-17 8.085916e-23 1.085261e-27 7.660356e-32 2.483204e-35
#> 47 9.943735e-16 4.691935e-21 9.893207e-26 9.936209e-30 4.254050e-33
#> 48 2.517662e-14 2.110209e-19 6.925307e-24 9.824767e-28 5.523579e-31
#> 49 5.067033e-13 7.457379e-18 3.775262e-22 7.512660e-26 5.515828e-29
#> 50 8.205998e-12 2.097280e-16 1.623845e-20 4.502392e-24 4.294172e-27
#> 51 1.081628e-10 4.749858e-15 5.578624e-19 2.141335e-22 2.639569e-25
#> 52 1.172757e-09 8.759065e-14 1.548233e-17 8.176549e-21 1.296317e-23
#> 53 1.056404e-08 1.328833e-12 3.508234e-16 2.534082e-19 5.143008e-22
#> 54 7.979458e-08 1.674598e-11 6.555448e-15 6.439523e-18 1.665506e-20
#> 55 5.098127e-07 1.768903e-10 1.019582e-13 1.354585e-16 4.445378e-19
#> 56 2.777654e-06 1.579542e-09 1.331497e-12 2.379901e-15 9.868572e-18
#> 57 1.300452e-05 1.201839e-08 1.472029e-11 3.521714e-14 1.837771e-16
#> 58 5.269599e-05 7.850459e-08 1.388342e-10 4.424007e-13 2.894047e-15
#> 59 1.860632e-04 4.433340e-07 1.125194e-09 4.752970e-12 3.883083e-14
#> 60 5.761086e-04 2.178860e-06 7.889939e-09 4.397805e-11 4.470891e-13
#> 61 1.573662e-03 9.377770e-06 4.817577e-08 3.527676e-10 4.447035e-12
#> 62 3.813610e-03 3.555483e-05 2.577086e-07 2.468437e-09 3.845516e-11
#> 63 8.243219e-03 1.194100e-04 1.214687e-06 1.515603e-08 2.908326e-10
#> 64 1.597288e-02 3.571150e-04 5.072103e-06 8.210867e-08 1.934596e-09
#> 65 2.787832e-02 9.557821e-04 1.885937e-05 3.945597e-07 1.137941e-08
#> 66 4.402585e-02 2.300048e-03 6.274653e-05 1.690114e-06 5.948814e-08
#> 67 6.317768e-02 4.998945e-03 1.876608e-04 6.484034e-06 2.777204e-07
#> 68 8.271695e-02 9.854144e-03 5.067262e-04 2.237903e-05 1.163132e-06
#> 69 9.919053e-02 1.768889e-02 1.240472e-03 6.978242e-05 4.389062e-06
#> 70 1.093391e-01 2.902532e-02 2.763897e-03 1.973828e-04 1.498368e-05
#> 71 1.111773e-01 4.369382e-02 5.626014e-03 5.083865e-04 4.645845e-05
#> 72 1.046219e-01 6.055129e-02 1.049946e-02 1.196691e-03 1.313174e-04
#> 73 9.140193e-02 7.750123e-02 1.802555e-02 2.583320e-03 3.395673e-04
#> 74 7.435488e-02 9.190275e-02 2.856035e-02 5.131169e-03 8.060034e-04
#> 75 5.648297e-02 1.012679e-01 4.189132e-02 9.407240e-03 1.761766e-03
#> 76 4.017480e-02 1.039840e-01 5.704792e-02 1.596681e-02 3.557032e-03
#> 77 2.682484e-02 9.976630e-02 7.233054e-02 2.516091e-02 6.653080e-03
#> 78 1.685526e-02 8.966867e-02 8.561017e-02 3.691242e-02 1.156013e-02
#> 79 9.990026e-03 7.568391e-02 9.483182e-02 5.054628e-02 1.870954e-02
#> 80 5.597612e-03 6.012993e-02 9.855122e-02 6.476766e-02 2.827663e-02
#> 81 2.971477e-03 4.506871e-02 9.630669e-02 7.784196e-02 4.000478e-02
#> 82 1.497484e-03 3.193647e-02 8.869531e-02 8.795188e-02 5.310380e-02
#> 83 7.178276e-04 2.143954e-02 7.714648e-02 9.362650e-02 6.628801e-02
#> 84 3.279119e-04 1.366192e-02 6.350161e-02 9.409808e-02 7.797676e-02
#> 85 1.430042e-04 8.279243e-03 4.956225e-02 8.946618e-02 8.661684e-02
#> 86 5.964004e-05 4.780044e-03 3.674716e-02 8.062404e-02 9.103233e-02
#> 87 2.382512e-05 2.633800e-03 2.592856e-02 6.899136e-02 9.068999e-02
#> 88 9.131071e-06 1.387266e-03 1.744046e-02 5.615826e-02 8.579742e-02
#> 89 3.362407e-06 6.995993e-04 1.120147e-02 4.355666e-02 7.721284e-02
#> 90 1.191369e-06 3.383063e-04 6.880402e-03 3.224192e-02 6.621012e-02
#> 91 4.067338e-07 1.570992e-04 4.047908e-03 2.281332e-02 5.418379e-02
#> 92 1.339730e-07 7.015324e-05 2.284314e-03 1.545275e-02 4.238263e-02
#> 93 4.263051e-08 3.016571e-05 1.238211e-03 1.003451e-02 3.173346e-02
#> 94 1.312048e-08 1.250636e-05 6.455491e-04 6.255460e-03 2.277565e-02
#> 95 3.910343e-09 5.005388e-06 3.241294e-04 3.748612e-03 1.569051e-02
#> 96 1.129809e-09 1.936201e-06 1.569279e-04 2.162142e-03 1.038924e-02
#> 97 3.168040e-10 7.247126e-07 7.334852e-05 1.201803e-03 6.619965e-03
#> 98 8.630263e-11 2.627616e-07 3.313522e-05 6.445121e-04 4.064232e-03
#> 99 2.286338e-11 9.238440e-08 1.448354e-05 3.338652e-04 2.406898e-03
#> 100 5.895950e-12 3.152959e-08 6.132067e-06 1.672359e-04 1.376513e-03
#> 101 1.481371e-12 1.045556e-08 2.517275e-06 8.108938e-05 7.610548e-04
#> 102 3.630429e-13 3.372062e-09 1.002938e-06 3.809926e-05 4.072084e-04
#> 103 8.681944e-14 1.058665e-09 3.881943e-07 1.736252e-05 2.110663e-04
#> 104 2.020606e-14 3.238301e-10 1.461012e-07 7.681797e-06 1.060824e-04
#> 105 4.662937e-15 9.659140e-11 5.351441e-08 3.302653e-06 5.174819e-05
#> 106 9.992007e-16 2.811751e-11 1.909282e-08 1.381004e-06 2.452260e-05
#> 107 2.220446e-16 7.994161e-12 6.640617e-09 5.621175e-07 1.129887e-05
#> 108 1.110223e-16 2.221556e-12 2.253356e-09 2.229028e-07 5.066006e-06
#> 109 0.000000e+00 6.038503e-13 7.465634e-10 8.617942e-08 2.212132e-06
#> 110 0.000000e+00 1.607603e-13 2.416793e-10 3.251046e-08 9.414802e-07
#> 111 0.000000e+00 4.185541e-14 7.649947e-11 1.197552e-08 3.908366e-07
#> 112 0.000000e+00 1.065814e-14 2.369305e-11 4.310498e-09 1.583730e-07
#> 113 0.000000e+00 2.664535e-15 7.184919e-12 1.517125e-09 6.268678e-08
#> 114 0.000000e+00 6.661338e-16 2.134737e-12 5.224750e-10 2.425365e-08
#> 115 0.000000e+00 2.220446e-16 6.217249e-13 1.761732e-10 9.178504e-09
#> 116 0.000000e+00 0.000000e+00 1.776357e-13 5.819900e-11 3.399683e-09
#> 117 0.000000e+00 0.000000e+00 4.984901e-14 1.884737e-11 1.233234e-09
#> 118 0.000000e+00 0.000000e+00 1.376677e-14 5.986989e-12 4.383832e-10
#> 119 0.000000e+00 0.000000e+00 3.663736e-15 1.866507e-12 1.527972e-10
#> 120 0.000000e+00 0.000000e+00 9.992007e-16 5.713208e-13 5.224865e-11
#> 121 0.000000e+00 0.000000e+00 2.220446e-16 1.718625e-13 1.753742e-11
#> 122 0.000000e+00 0.000000e+00 1.110223e-16 5.084821e-14 5.781264e-12
#> 123 0.000000e+00 0.000000e+00 0.000000e+00 1.476597e-14 1.872724e-12
#> 124 0.000000e+00 0.000000e+00 0.000000e+00 4.218847e-15 5.963008e-13
#> 125 0.000000e+00 0.000000e+00 0.000000e+00 1.221245e-15 1.868505e-13
#> 126 0.000000e+00 0.000000e+00 0.000000e+00 3.330669e-16 5.750955e-14
#> 127 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16 1.754152e-14
#> 128 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 5.218048e-15
#> 129 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.443290e-15
#> 130 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 4.440892e-16
#> 131 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.220446e-16
#> 132 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 133 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 134 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 135 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 136 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 137 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 138 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 139 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 140 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 141 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 142 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 143 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 144 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> age
#> length 11 12 13 14 15
#> 3 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 4 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 5 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 6 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 7 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 8 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 9 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 10 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 11 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 12 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 13 1.527209e-301 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 14 1.042912e-279 2.678548e-286 1.196328e-291 5.343286e-296 1.535753e-299
#> 15 4.954024e-260 2.192807e-266 1.516520e-271 9.636553e-276 3.683465e-279
#> 16 3.310218e-242 2.443096e-248 2.547762e-253 2.254520e-257 1.126407e-260
#> 17 5.512966e-226 6.588741e-232 1.012006e-236 1.223683e-240 7.869737e-244
#> 18 3.662686e-211 6.905836e-217 1.529870e-221 2.485365e-225 2.029530e-228
#> 19 1.434904e-197 4.169342e-203 1.307354e-207 2.810547e-211 2.878611e-214
#> 20 4.600778e-185 2.017089e-190 8.801662e-195 2.469901e-198 3.137986e-201
#> 21 1.593261e-173 1.033962e-178 6.182597e-183 2.236717e-186 3.489808e-189
#> 22 7.549236e-163 7.126220e-168 5.757828e-172 2.655286e-175 5.041363e-178
#> 23 5.996198e-153 8.102715e-158 8.733502e-162 5.081110e-165 1.164144e-167
#> 24 9.515381e-144 1.813865e-148 2.577515e-152 1.873962e-155 5.141411e-158
#> 25 3.514087e-135 9.322687e-140 1.727654e-143 1.555970e-146 5.075973e-149
#> 26 3.451018e-127 1.258327e-131 3.010688e-135 3.331787e-138 1.283948e-140
#> 27 1.013213e-119 5.019121e-124 1.536066e-127 2.073129e-130 9.380163e-133
#> 28 9.862007e-113 6.565813e-117 2.548111e-120 4.164912e-123 2.200142e-125
#> 29 3.487618e-106 3.089447e-110 1.508169e-113 2.966063e-116 1.819697e-118
#> 30 4.861788e-100 5.676685e-104 3.459592e-107 8.136819e-110 5.769123e-112
#> 31 2.873354e-94 4.383403e-98 3.311551e-101 9.261577e-104 7.553955e-106
#> 32 7.685134e-89 1.519177e-92 1.413305e-95 4.675081e-98 4.367509e-100
#> 33 9.864393e-84 2.507188e-87 2.854373e-90 1.111164e-92 1.184161e-94
#> 34 6.406721e-79 2.078411e-82 2.878706e-85 1.312561e-87 1.589553e-89
#> 35 2.208742e-74 9.082756e-78 1.522000e-80 8.091855e-83 1.109570e-84
#> 36 4.221461e-70 2.186123e-73 4.408829e-76 2.721638e-78 4.211164e-80
#> 37 4.653135e-66 3.015847e-69 7.283688e-72 5.199865e-74 9.049452e-76
#> 38 3.066436e-62 2.472870e-65 7.118527e-68 5.854834e-70 1.142534e-71
#> 39 1.248586e-58 1.245862e-61 4.255617e-64 4.017948e-66 8.766306e-68
#> 40 3.237319e-55 3.975769e-58 1.604612e-60 1.733164e-62 4.216049e-64
#> 41 5.494693e-52 8.263687e-55 3.924828e-57 4.833933e-59 1.307596e-60
#> 42 6.262271e-49 1.147813e-51 6.390580e-54 8.947048e-56 2.684527e-57
#> 43 4.905912e-46 1.090883e-48 7.093677e-51 1.125594e-52 3.737169e-54
#> 44 2.699540e-43 7.250493e-46 5.487305e-48 9.840341e-50 3.607024e-51
#> 45 1.064423e-40 3.438715e-43 3.018754e-45 6.101597e-47 2.463823e-48
#> 46 3.063524e-38 1.185691e-40 1.203506e-42 2.734664e-44 1.213913e-45
#> 47 6.547187e-36 3.024206e-38 3.538326e-40 9.016062e-42 4.390836e-43
#> 48 1.055665e-33 5.798254e-36 7.796768e-38 2.222620e-39 1.185245e-40
#> 49 1.303353e-31 8.482465e-34 1.307206e-35 4.159462e-37 2.424332e-38
#> 50 1.249244e-29 9.601347e-32 1.691149e-33 5.993338e-35 3.811259e-36
#> 51 9.415889e-28 8.518549e-30 1.710463e-31 6.737254e-33 4.666488e-34
#> 52 5.648236e-26 5.996345e-28 1.369139e-29 5.981688e-31 4.505367e-32
#> 53 2.726910e-24 3.387008e-26 8.772973e-28 4.243145e-29 3.469865e-30
#> 54 1.070759e-22 1.551530e-24 4.548377e-26 2.430819e-27 2.154965e-28
#> 55 3.453386e-21 5.821493e-23 1.927214e-24 1.136060e-25 1.090237e-26
#> 56 9.232833e-20 1.805874e-21 6.736760e-23 4.372669e-24 4.536179e-25
#> 57 2.064059e-18 4.672200e-20 1.959998e-21 1.398463e-22 1.566147e-23
#> 58 3.889927e-17 1.016508e-18 4.785748e-20 3.747539e-21 4.524811e-22
#> 59 6.227582e-16 1.874216e-17 9.883881e-19 8.481066e-20 1.102635e-20
#> 60 8.530800e-15 2.949963e-16 1.739347e-17 1.632992e-18 2.283311e-19
#> 61 1.006716e-13 3.991076e-15 2.626279e-16 2.693918e-17 4.046276e-18
#> 62 1.030052e-12 4.671540e-14 3.424817e-15 3.832811e-16 6.177121e-17
#> 63 9.193501e-12 4.759828e-13 3.881189e-14 4.732513e-15 8.174875e-16
#> 64 7.198843e-11 4.246222e-12 3.844724e-13 5.101157e-14 9.434453e-15
#> 65 4.972346e-10 3.334868e-11 3.347685e-12 4.826938e-13 9.548413e-14
#> 66 3.045151e-09 2.317806e-10 2.575623e-11 4.030851e-12 8.519890e-13
#> 67 1.661579e-08 1.432645e-09 1.759699e-10 2.985522e-11 6.736193e-12
#> 68 8.115303e-08 7.912125e-09 1.072660e-09 1.970639e-10 4.741874e-11
#> 69 3.563404e-07 3.921649e-08 5.860025e-09 1.164440e-09 2.985469e-10
#> 70 1.412576e-06 1.751848e-07 2.881368e-08 6.186048e-09 1.688402e-09
#> 71 5.075345e-06 7.081371e-07 1.280317e-07 2.966648e-08 8.612345e-09
#> 72 1.659063e-05 2.600084e-06 5.160925e-07 1.289318e-07 3.977813e-08
#> 73 4.951780e-05 8.703289e-06 1.894178e-06 5.096822e-07 1.669777e-07
#> 74 1.354083e-04 2.665061e-05 6.352039e-06 1.839128e-06 6.392946e-07
#> 75 3.403522e-04 7.490139e-05 1.952766e-05 6.077910e-06 2.239947e-06
#> 76 7.887874e-04 1.938193e-04 5.520905e-05 1.845505e-05 7.205535e-06
#> 77 1.690544e-03 4.631599e-04 1.439822e-04 5.164412e-05 2.134621e-05
#> 78 3.360133e-03 1.025028e-03 3.473777e-04 1.335786e-04 5.840839e-05
#> 79 6.210456e-03 2.106684e-03 7.774803e-04 3.202381e-04 1.480290e-04
#> 80 1.070161e-02 4.031416e-03 1.618521e-03 7.134855e-04 3.484167e-04
#> 81 1.723479e-02 7.201059e-03 3.141851e-03 1.481082e-03 7.635624e-04
#> 82 2.600278e-02 1.203524e-02 5.700864e-03 2.871526e-03 1.561883e-03
#> 83 3.683602e-02 1.886371e-02 9.691439e-03 5.211935e-03 2.989029e-03
#> 84 4.910264e-02 2.778856e-02 1.547001e-02 8.875809e-03 5.363719e-03
#> 85 6.171875e-02 3.855531e-02 2.323644e-02 1.421246e-02 9.044651e-03
#> 86 7.329475e-02 5.048426e-02 3.290858e-02 2.144242e-02 1.436166e-02
#> 87 8.239482e-02 6.250579e-02 4.403079e-02 3.054052e-02 2.151616e-02
#> 88 8.783999e-02 7.331312e-02 5.576029e-02 4.114309e-02 3.047177e-02
#> 89 8.896352e-02 8.160418e-02 6.695685e-02 5.251972e-02 4.086918e-02
#> 90 8.574139e-02 8.634832e-02 7.636878e-02 6.363684e-02 5.200203e-02
#> 91 7.876449e-02 8.699978e-02 8.287191e-02 7.331311e-02 6.287846e-02
#> 92 6.907275e-02 8.359677e-02 8.569611e-02 8.043387e-02 7.236743e-02
#> 93 5.791194e-02 7.672299e-02 8.457501e-02 8.416886e-02 7.939982e-02
#> 94 4.648771e-02 6.735327e-02 7.977918e-02 8.413254e-02 8.317264e-02
#> 95 3.577806e-02 5.663661e-02 7.203087e-02 8.044465e-02 8.330117e-02
#> 96 2.643511e-02 4.568004e-02 6.233346e-02 7.367973e-02 7.987902e-02
#> 97 1.877529e-02 3.538423e-02 5.176867e-02 6.472792e-02 7.343522e-02
#> 98 1.283418e-02 2.635661e-02 4.131471e-02 5.461117e-02 6.480728e-02
#> 99 8.453582e-03 1.890116e-02 3.172216e-02 4.430482e-02 5.497031e-02
#> 100 5.371560e-03 1.306502e-02 2.346121e-02 3.460302e-02 4.486785e-02
#> 101 3.296291e-03 8.714430e-03 1.673241e-02 2.604750e-02 3.528127e-02
#> 102 1.955585e-03 5.614919e-03 1.152021e-02 1.891841e-02 2.675692e-02
#> 103 1.122791e-03 3.498442e-03 7.665009e-03 1.327183e-02 1.959185e-02
#> 104 6.244825e-04 2.109927e-03 4.933503e-03 9.002209e-03 1.386469e-02
#> 105 3.367866e-04 1.232940e-03 3.074777e-03 5.909739e-03 9.492321e-03
#> 106 1.762794e-04 6.987208e-04 1.857367e-03 3.758398e-03 6.293318e-03
#> 107 8.962851e-05 3.843647e-04 1.088438e-03 2.317674e-03 4.044222e-03
#> 108 4.430579e-05 2.054185e-04 6.193186e-04 1.387086e-03 2.521318e-03
#> 109 2.131101e-05 1.067473e-04 3.424511e-04 8.063607e-04 1.526279e-03
#> 110 9.982150e-06 5.398196e-05 1.841681e-04 4.557122e-04 8.978781e-04
#> 111 4.556761e-06 2.658613e-05 9.640653e-05 2.505741e-04 5.137236e-04
#> 112 2.028733e-06 1.276164e-05 4.915965e-05 1.341538e-04 2.860949e-04
#> 113 8.815437e-07 5.974766e-06 2.443679e-05 6.998693e-05 1.551987e-04
#> 114 3.741246e-07 2.730280e-06 1.185018e-05 3.560360e-05 8.206939e-05
#> 115 1.551800e-07 1.218606e-06 5.609872e-06 1.767416e-05 4.233479e-05
#> 116 6.294858e-08 5.315912e-07 2.594304e-06 8.567365e-06 2.131742e-05
#> 117 2.498860e-08 2.267933e-07 1.172766e-06 4.057936e-06 1.048530e-05
#> 118 9.713359e-09 9.468716e-08 5.185601e-07 1.879271e-06 5.040993e-06
#> 119 3.699357e-09 3.870990e-08 2.244134e-07 8.514680e-07 2.370337e-06
#> 120 1.381216e-09 1.550519e-08 9.510819e-08 3.776605e-07 1.090750e-06
#> 121 5.058446e-10 6.088376e-09 3.949621e-08 1.640745e-07 4.914908e-07
#> 122 1.818139e-10 2.344950e-09 1.608061e-08 6.986033e-08 2.169835e-07
#> 123 6.416789e-11 8.863482e-10 6.422342e-09 2.916801e-08 9.390690e-08
#> 124 2.224898e-11 3.289555e-10 2.517415e-09 1.194810e-08 3.986202e-08
#> 125 7.582490e-12 1.199360e-10 9.689615e-10 4.804292e-09 1.660491e-08
#> 126 2.541301e-12 4.297840e-11 3.664055e-10 1.897203e-09 6.791201e-09
#> 127 8.378853e-13 1.514422e-11 1.361845e-10 7.361415e-10 2.728354e-09
#> 128 2.718936e-13 5.249579e-12 4.977430e-11 2.807857e-10 1.077218e-09
#> 129 8.693046e-14 1.791123e-12 1.789746e-11 1.053301e-10 4.181713e-10
#> 130 2.731149e-14 6.016299e-13 6.333822e-12 3.887612e-11 1.596782e-10
#> 131 8.548717e-15 1.990630e-13 2.207123e-12 1.412392e-11 6.000189e-11
#> 132 2.553513e-15 6.494805e-14 7.576162e-13 5.052958e-12 2.219702e-11
#> 133 7.771561e-16 2.087219e-14 2.562395e-13 1.780909e-12 8.087420e-12
#> 134 2.220446e-16 6.550316e-15 8.537615e-14 6.186163e-13 2.903233e-12
#> 135 1.110223e-16 2.109424e-15 2.819966e-14 2.118306e-13 1.027289e-12
#> 136 0.000000e+00 5.551115e-16 9.103829e-15 7.149836e-14 3.583800e-13
#> 137 0.000000e+00 2.220446e-16 2.886580e-15 2.386980e-14 1.233458e-13
#> 138 0.000000e+00 1.110223e-16 8.881784e-16 7.771561e-15 4.196643e-14
#> 139 0.000000e+00 0.000000e+00 3.330669e-16 2.553513e-15 1.398881e-14
#> 140 0.000000e+00 0.000000e+00 1.110223e-16 8.881784e-16 4.662937e-15
#> 141 0.000000e+00 0.000000e+00 0.000000e+00 2.220446e-16 1.554312e-15
#> 142 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16 4.440892e-16
#> 143 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16
#> 144 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16
sim_abundance(growth = sim_vonB(plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178 181 184 187 190 193 196 199 202 205 208 211 214 217 220 223 226
#> [77] 229 232 235 238
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7 8
#> 57777969 58191200 97429564 137564947 63407567 50678059 39902214 50068574
#> 9 10 11 12 13 14 15 16
#> 99140852 131655555 133195393 133228627 96671205 207506637 255669138 555292419
#> 17 18 19 20
#> 222997678 214589217 145141793 170711973
#>
#> $N0
#> [1] 57777968.668 44104304.616 34095446.721 24663798.421 18212873.280
#> [6] 13037058.890 7874533.394 4366747.562 2498287.381 1197257.185
#> [11] 536310.235 279553.270 131202.378 57459.935 35005.320
#> [16] 23138.760 14418.412 8614.737 4899.709 3411.811
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.2700502 0.3243072 0.4777814 0.4717913 1.2655727 0.6795359 0.7536629
#> 2 0.2573935 0.3771638 0.3843558 0.4494767 0.9179561 0.5152843 0.5976962
#> 3 0.3238273 0.3719251 0.3615742 0.3774236 0.6696153 0.4731926 0.4933207
#> 4 0.3032079 0.4946926 0.3297642 0.2043192 0.6961727 0.6096501 0.4137128
#> 5 0.3343327 0.5246513 0.3278707 0.1707520 0.5326092 0.5493337 0.3225173
#> 6 0.5041621 0.5728508 0.3830591 0.1175551 0.4160749 0.6187261 0.3079670
#> 7 0.5896155 0.5537575 0.4717643 0.2564936 0.7170083 0.5894234 0.3452571
#> 8 0.5584130 0.6025877 0.4785630 0.3574550 0.7236913 0.5377903 0.3057205
#> 9 0.7355722 0.5602790 0.6381858 0.3200790 0.6923820 0.6566246 0.3539403
#> 10 0.8030757 0.6503064 0.7407663 0.3999914 0.6230541 0.6802066 0.4468296
#> 11 0.6515199 0.6103451 0.5088616 0.3304388 0.4997421 0.6699193 0.5774976
#> 12 0.7564519 0.7433245 0.5251073 0.3623500 0.5713458 0.6007990 0.4010460
#> 13 0.8256531 0.7681015 0.6489719 0.4568649 0.6464962 0.6330889 0.3720063
#> 14 0.4955879 0.8454304 0.5433996 0.5764994 0.6788913 0.4999434 0.4127891
#> 15 0.4139909 0.6285368 0.4345282 0.5721895 0.5944838 0.4286069 0.3581003
#> 16 0.4730032 0.6418943 0.4633912 0.5363342 0.5871568 0.6266060 0.3944950
#> 17 0.5150316 0.5930863 0.4159905 0.5149030 0.5352458 0.6585332 0.6249703
#> 18 0.5642986 0.6627563 0.5471257 0.4820658 0.4145670 0.7432137 0.5562006
#> 19 0.3619325 0.4535779 0.3792062 0.4619479 0.3549280 0.6561141 0.4928269
#> 20 0.3832644 0.3792003 0.2775152 0.2656520 0.2937634 0.5261275 0.4896186
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.7207497 0.5703110 0.4785152 0.9044610 0.7685447 0.7268998 0.4670354
#> 2 0.5136670 0.4846255 0.5263778 0.6509343 0.6455328 0.8204619 0.6660680
#> 3 0.5669419 0.5912232 0.6148935 0.4967189 0.4439541 0.6737284 0.7445523
#> 4 0.3752087 0.3683315 0.4106399 0.4319382 0.4114625 0.7056716 0.8774529
#> 5 0.3326399 0.2577949 0.2492129 0.3664999 0.4237408 0.5898656 0.9358423
#> 6 0.5343119 0.2458632 0.1869223 0.2939482 0.3969917 0.6245118 1.0185206
#> 7 0.4708248 0.1886770 0.2581182 0.4322457 0.4430841 0.8681499 1.1726898
#> 8 0.4124594 0.1842047 0.2601716 0.4038271 0.4197470 0.8379085 1.2051846
#> 9 0.3937881 0.2321519 0.2082432 0.2624076 0.3157834 0.8494891 1.3781527
#> 10 0.4519298 0.2119850 0.1840070 0.1633179 0.2105861 0.5925359 1.0349976
#> 11 0.4216216 0.2393532 0.1940977 0.1457775 0.1952157 0.4754250 1.3774410
#> 12 0.4116843 0.3211359 0.2434406 0.2231747 0.2683605 0.6335715 1.3101065
#> 13 0.3379542 0.2587342 0.2776839 0.2799223 0.2808311 0.7480546 1.2817438
#> 14 0.4228911 0.4635825 0.3414746 0.3255133 0.3621126 0.7217663 1.1244147
#> 15 0.4410061 0.5570208 0.4763252 0.4150355 0.4225529 0.6807468 0.7627675
#> 16 0.5159472 0.5578930 0.3504872 0.3812171 0.3423850 0.4102273 0.7386900
#> 17 0.9200769 0.7884125 0.4100094 0.3647248 0.3094818 0.4377739 0.8677996
#> 18 1.0075319 0.7556089 0.3439267 0.2920192 0.2942899 0.3583984 0.6692498
#> 19 0.8404201 0.5872893 0.4450221 0.4035877 0.3776504 0.3940666 0.9143976
#> 20 0.6791519 0.5573236 0.5668796 0.4315429 0.3230076 0.2851273 0.6479018
#> year
#> age 15 16 17 18 19 20
#> 1 0.3874905 0.1107789 0.1389389 0.1573270 0.3527152 0.3056440
#> 2 0.5439137 0.1304749 0.1518710 0.1667587 0.2820449 0.2663677
#> 3 0.6685774 0.1927575 0.1557217 0.1702611 0.2761943 0.2190825
#> 4 0.9582323 0.3057668 0.2813163 0.2847502 0.3343674 0.2494205
#> 5 0.6972747 0.4438965 0.4282746 0.4102953 0.5368708 0.3505079
#> 6 0.7068467 0.3573588 0.4183924 0.4823208 0.4971473 0.3336484
#> 7 0.6942068 0.2655494 0.3136782 0.3876564 0.6047151 0.2799979
#> 8 0.6109041 0.3106012 0.4138904 0.4991674 0.5990751 0.3668063
#> 9 0.5811833 0.2829220 0.4237571 0.4924353 0.5847222 0.4471169
#> 10 0.5585509 0.3042678 0.5520167 0.6645629 0.7625047 0.4709142
#> 11 0.6069423 0.3630846 0.3889958 0.5347066 0.8980052 0.4363193
#> 12 0.6051135 0.3170261 0.2601033 0.4956757 0.6457157 0.4566885
#> 13 0.6487686 0.3432971 0.3107159 0.6626300 0.4436757 0.3832277
#> 14 0.6385749 0.2500786 0.2510347 0.6716666 0.4906576 0.3498175
#> 15 0.6123153 0.2380071 0.2522766 0.5423643 0.5634314 0.5424494
#> 16 0.6099161 0.2489327 0.2941224 0.5051295 0.4365235 0.4537057
#> 17 0.9610810 0.2350095 0.3028711 0.6473317 0.5876974 0.5663698
#> 18 0.9575069 0.2717074 0.3047136 0.7012023 0.7596018 0.6678619
#> 19 1.0936277 0.3751601 0.3879320 0.6395899 0.6686321 0.6646250
#> 20 0.9515209 0.3001253 0.4334434 0.6772891 0.5946038 0.6800321
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 57777968.668 58191200.205 97429563.936 1.375649e+08 63407566.818
#> 2 44104304.616 44104304.616 42073870.608 6.042170e+07 85824532.544
#> 3 34095446.721 34095446.721 30246896.928 2.864764e+07 38546742.272
#> 4 24663798.421 24663798.421 23505600.564 2.106935e+07 19641555.004
#> 5 18212873.280 18212873.280 15038956.695 1.690272e+07 17175778.010
#> 6 13037058.890 13037058.890 10777680.882 1.083491e+07 14249510.067
#> 7 7874533.394 7874533.394 7351799.726 7.347928e+06 9633225.845
#> 8 4366747.562 4366747.562 4526171.340 4.586792e+06 5685532.081
#> 9 2498287.381 2498287.381 2390328.448 2.804747e+06 3208250.594
#> 10 1197257.185 1197257.185 1426646.247 1.262691e+06 2036503.605
#> 11 536310.235 536310.235 624831.580 6.801514e+05 846414.220
#> 12 279553.270 279553.270 291304.072 3.756360e+05 488762.423
#> 13 131202.378 131202.378 132936.071 1.723040e+05 261457.172
#> 14 57459.935 57459.935 60863.858 6.947010e+04 109114.249
#> 15 35005.320 35005.320 24671.716 3.534793e+04 39032.595
#> 16 23138.760 23138.760 18670.846 1.597667e+04 19946.435
#> 17 14418.412 14418.412 12177.803 1.174670e+04 9344.567
#> 18 8614.737 8614.737 7967.890 8.033533e+03 7019.339
#> 19 4899.709 4899.709 4440.283 4.610305e+03 4960.758
#> 20 3411.811 3411.811 3113.034 3.038949e+03 2904.746
#> year
#> age 6 7 8 9 10
#> 1 50678058.677 39902213.790 50068573.951 99140852.286 1.316556e+08
#> 2 17885861.621 25686284.827 18779557.134 24352727.084 5.604924e+07
#> 3 34272688.053 10683775.333 14129445.497 11235763.773 1.499952e+07
#> 4 19732287.867 21352228.974 6523464.589 8015034.002 6.220677e+06
#> 5 9791109.932 10725307.771 14117897.913 4482571.856 5.545504e+06
#> 6 10083404.523 5652743.972 7768591.720 10122933.051 3.463924e+06
#> 7 9399417.052 5431226.009 4154425.261 4552957.390 7.916429e+06
#> 8 4703043.327 5213358.653 3845516.094 2594384.595 3.770094e+06
#> 9 2757248.989 2746753.187 3840120.540 2545808.741 2.157920e+06
#> 10 1605353.186 1429906.204 1927992.375 2590149.612 2.018383e+06
#> 11 1092185.030 813131.204 914643.639 1226972.125 2.095371e+06
#> 12 513508.581 558925.580 456411.513 599989.968 9.657949e+05
#> 13 276035.835 281594.391 374267.325 302387.873 4.351875e+05
#> 14 136971.691 146561.016 194117.072 266937.923 2.334520e+05
#> 15 55340.452 83082.234 96994.346 127175.790 1.679109e+05
#> 16 21540.033 36049.654 58074.730 62405.076 7.286071e+04
#> 17 11088.334 11511.048 24298.199 34666.833 3.572153e+04
#> 18 5471.481 5739.433 6161.603 9682.550 1.575836e+04
#> 19 4637.160 2602.144 3290.896 2249.718 4.548131e+03
#> 20 3478.602 2406.054 1589.642 1420.118 1.250465e+03
#> year
#> age 11 12 13 14 15
#> 1 1.331954e+08 1.332286e+08 96671205.00 207506637.36 255669138.49
#> 2 8.158732e+07 5.391217e+07 61776430.86 46731374.24 130077170.08
#> 3 3.311058e+07 4.255254e+07 28270627.59 27195731.81 24007054.86
#> 4 8.110219e+06 2.014858e+07 27297237.29 14412486.24 12916528.10
#> 5 4.125713e+06 5.265555e+06 13352069.46 13478743.59 5993299.38
#> 6 4.322244e+06 2.859763e+06 3446798.45 7402411.31 5287109.01
#> 7 2.873354e+06 3.221434e+06 1922732.17 1845839.20 2673223.81
#> 8 6.115473e+06 1.864950e+06 2068331.80 807023.29 571348.60
#> 9 2.906438e+06 4.083665e+06 1225669.36 894790.12 241813.79
#> 10 1.752251e+06 2.235625e+06 2977879.50 524137.10 225526.23
#> 11 1.679153e+06 1.488224e+06 1811100.33 1646539.07 186187.77
#> 12 1.725700e+06 1.451376e+06 1224298.16 1125817.64 415295.31
#> 13 7.571118e+05 1.380517e+06 1109768.56 649726.50 303735.82
#> 14 3.296704e+05 5.722572e+05 1042505.75 525238.35 180333.47
#> 15 1.659193e+05 2.380736e+05 398407.76 506546.51 170619.76
#> 16 1.042830e+05 1.095593e+05 156026.67 201689.47 236240.10
#> 17 5.131907e+04 7.122838e+04 77795.31 103523.61 96354.99
#> 18 2.370638e+04 3.563533e+04 52269.32 50214.67 43466.91
#> 19 1.117237e+04 1.770284e+04 26550.48 36525.52 25714.56
#> 20 2.914488e+03 7.462246e+03 12134.77 17903.23 14637.89
#> year
#> age 16 17 18 19 20
#> 1 5.552924e+08 222997678.24 214589216.58 145141792.62 170711973.36
#> 2 1.735375e+08 497062604.48 194070679.83 183350308.84 102002362.11
#> 3 7.550616e+07 152310133.13 427026051.37 164262157.99 138290099.81
#> 4 1.230210e+07 62268561.75 130346608.91 360172788.21 124620037.42
#> 5 4.954397e+06 9061217.77 46999659.06 98046993.92 257808347.70
#> 6 2.984306e+06 3178403.31 5904583.67 31182124.72 57315789.13
#> 7 2.607586e+06 2087586.28 2091719.66 3645188.63 18966944.23
#> 8 1.335196e+06 1999456.69 1525512.40 1419536.07 1991111.48
#> 9 3.101622e+05 978707.11 1321787.66 926040.70 779778.76
#> 10 1.352310e+05 233731.61 640644.88 807792.41 516046.07
#> 11 1.290094e+05 99754.97 134579.73 329610.74 376832.33
#> 12 1.014751e+05 89729.62 67607.64 78842.35 134277.31
#> 13 2.267564e+05 73905.50 69179.02 41183.81 41336.03
#> 14 1.587594e+05 160867.21 54166.97 35661.36 26426.56
#> 15 9.522408e+04 123632.21 125153.95 27671.55 21832.73
#> 16 9.249200e+04 75055.34 96065.91 72761.01 15752.09
#> 17 1.283720e+05 72109.76 55930.14 57968.81 47023.94
#> 18 3.685378e+04 101486.23 53267.07 29276.10 32207.77
#> 19 1.668472e+04 28085.43 74829.30 26419.86 13696.90
#> 20 8.614353e+03 11465.39 19054.80 39473.11 13537.78
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 3.510483e-55 3.535591e-55 5.919642e-55 8.358194e-55 3.852528e-55
#> 4 4.245899e-15 4.276266e-15 7.159755e-15 1.010916e-14 4.659598e-15
#> 7 3.106667e-01 3.128886e-01 5.238696e-01 7.396738e-01 3.409365e-01
#> 10 1.296884e+05 1.306160e+05 2.186904e+05 3.087782e+05 1.423246e+05
#> 13 1.552159e+07 1.563260e+07 2.617367e+07 3.695573e+07 1.703394e+07
#> 16 3.563037e+07 3.588516e+07 6.007782e+07 8.482658e+07 3.910758e+07
#> 19 7.161546e+06 7.206841e+06 1.146966e+07 1.621357e+07 8.562270e+06
#> 22 9.452053e+06 9.453259e+06 9.140090e+06 1.311761e+07 1.824739e+07
#> 25 1.957252e+07 1.957253e+07 1.865995e+07 2.671662e+07 3.793442e+07
#> 28 1.375796e+07 1.375796e+07 1.298078e+07 1.770610e+07 2.501307e+07
#> 31 1.057171e+07 1.057171e+07 9.564313e+06 1.030417e+07 1.410364e+07
#> 34 1.259680e+07 1.259680e+07 1.125174e+07 1.075607e+07 1.419494e+07
#> 37 1.151555e+07 1.151555e+07 1.042249e+07 9.739237e+06 1.194552e+07
#> 40 9.952312e+06 9.952312e+06 9.192520e+06 8.496763e+06 9.124210e+06
#> 43 9.361340e+06 9.361340e+06 8.623355e+06 8.115175e+06 8.036981e+06
#> 46 8.660062e+06 8.660062e+06 7.747878e+06 7.640723e+06 7.597684e+06
#> 49 7.837487e+06 7.837487e+06 6.767917e+06 6.993936e+06 7.288137e+06
#> 52 7.045955e+06 7.045955e+06 5.964856e+06 6.280974e+06 6.965774e+06
#> 55 6.214040e+06 6.214040e+06 5.270118e+06 5.510402e+06 6.496958e+06
#> 58 5.332211e+06 5.332211e+06 4.608446e+06 4.747034e+06 5.863272e+06
#> 61 4.447337e+06 4.447337e+06 3.958091e+06 4.036263e+06 5.112860e+06
#> 64 3.608341e+06 3.608341e+06 3.320049e+06 3.379602e+06 4.313136e+06
#> 67 2.852532e+06 2.852532e+06 2.710230e+06 2.771525e+06 3.530742e+06
#> 70 2.199823e+06 2.199823e+06 2.150166e+06 2.215378e+06 2.814128e+06
#> 73 1.654828e+06 1.654828e+06 1.657473e+06 1.720628e+06 2.188484e+06
#> 76 1.213313e+06 1.213313e+06 1.241519e+06 1.296845e+06 1.661302e+06
#> 79 8.665980e+05 8.665980e+05 9.035385e+05 9.489689e+05 1.230032e+06
#> 82 6.032454e+05 6.032454e+05 6.387804e+05 6.752695e+05 8.872453e+05
#> 85 4.099339e+05 4.099339e+05 4.387869e+05 4.681750e+05 6.229715e+05
#> 88 2.726309e+05 2.726309e+05 2.931456e+05 3.167812e+05 4.256718e+05
#> 91 1.779747e+05 1.779747e+05 1.908493e+05 2.094211e+05 2.831090e+05
#> 94 1.143713e+05 1.143713e+05 1.214185e+05 1.353734e+05 1.833634e+05
#> 97 7.252531e+04 7.252531e+04 7.573107e+04 8.563152e+04 1.157251e+05
#> 100 4.545131e+04 4.545131e+04 4.645594e+04 5.305737e+04 7.122618e+04
#> 103 2.816385e+04 2.816385e+04 2.810044e+04 3.223907e+04 4.279299e+04
#> 106 1.724436e+04 1.724436e+04 1.678702e+04 1.923358e+04 2.512634e+04
#> 109 1.041656e+04 1.041656e+04 9.907762e+03 1.127669e+04 1.443636e+04
#> 112 6.194077e+03 6.194077e+03 5.772623e+03 6.500460e+03 8.126265e+03
#> 115 3.617198e+03 3.617198e+03 3.314798e+03 3.683876e+03 4.486245e+03
#> 118 2.069902e+03 2.069902e+03 1.872140e+03 2.051228e+03 2.430859e+03
#> 121 1.158566e+03 1.158566e+03 1.037821e+03 1.121215e+03 1.293309e+03
#> 124 6.334614e+02 6.334614e+02 5.636864e+02 6.010469e+02 6.757104e+02
#> 127 3.380733e+02 3.380733e+02 2.995736e+02 3.157100e+02 3.466487e+02
#> 130 1.760608e+02 1.760608e+02 1.556513e+02 1.623820e+02 1.745808e+02
#> 133 8.947819e+01 8.947819e+01 7.903454e+01 8.174945e+01 8.629490e+01
#> 136 4.439668e+01 4.439668e+01 3.921926e+01 4.027918e+01 4.185911e+01
#> 139 2.151981e+01 2.151981e+01 1.902564e+01 1.942629e+01 1.992501e+01
#> 142 1.019829e+01 1.019829e+01 9.027725e+00 9.174310e+00 9.308089e+00
#> 145 4.729434e+00 4.729434e+00 4.193064e+00 4.244903e+00 4.268627e+00
#> 148 2.148350e+00 2.148350e+00 1.907934e+00 1.925602e+00 1.922433e+00
#> 151 9.568616e-01 9.568616e-01 8.512720e-01 8.570445e-01 8.506808e-01
#> 154 4.182926e-01 4.182926e-01 3.727845e-01 3.745739e-01 3.700754e-01
#> 157 1.796526e-01 1.796526e-01 1.603794e-01 1.608951e-01 1.583819e-01
#> 160 7.588137e-02 7.588137e-02 6.785084e-02 6.798283e-02 6.672914e-02
#> 163 3.155004e-02 3.155004e-02 2.825436e-02 2.828042e-02 2.769712e-02
#> 166 1.292491e-02 1.292491e-02 1.159139e-02 1.159248e-02 1.133400e-02
#> 169 5.221581e-03 5.221581e-03 4.689086e-03 4.686353e-03 4.575949e-03
#> 172 2.082049e-03 2.082049e-03 1.872024e-03 1.869888e-03 1.824089e-03
#> 175 8.200585e-04 8.200585e-04 7.381712e-04 7.369843e-04 7.184369e-04
#> 178 3.192988e-04 3.192988e-04 2.877140e-04 2.871374e-04 2.797768e-04
#> 181 1.229887e-04 1.229887e-04 1.109282e-04 1.106681e-04 1.077973e-04
#> 184 4.689739e-05 4.689739e-05 4.233538e-05 4.222335e-05 4.112042e-05
#> 187 1.771476e-05 1.771476e-05 1.600426e-05 1.595760e-05 1.553947e-05
#> 190 6.632747e-06 6.632747e-06 5.996650e-06 5.977699e-06 5.821027e-06
#> 193 2.463046e-06 2.463046e-06 2.228304e-06 2.220742e-06 2.162629e-06
#> 196 9.077024e-07 9.077024e-07 8.216946e-07 8.187383e-07 7.974056e-07
#> 199 3.321086e-07 3.321086e-07 3.008031e-07 2.996547e-07 2.918739e-07
#> 202 1.207148e-07 1.207148e-07 1.093921e-07 1.089530e-07 1.061422e-07
#> 205 4.359487e-08 4.359487e-08 3.952262e-08 3.935391e-08 3.833710e-08
#> 208 1.565936e-08 1.565936e-08 1.420269e-08 1.413953e-08 1.377704e-08
#> 211 5.600105e-09 5.600105e-09 5.081585e-09 5.058927e-09 4.933701e-09
#> 214 1.990229e-09 1.990229e-09 1.806282e-09 1.797071e-09 1.751428e-09
#> 217 7.052016e-10 7.052016e-10 6.397865e-10 6.373174e-10 6.215514e-10
#> 220 2.482856e-10 2.482856e-10 2.255877e-10 2.242759e-10 2.185752e-10
#> 223 8.658391e-11 8.658391e-11 7.876574e-11 7.839821e-11 7.630775e-11
#> 226 3.026751e-11 3.026751e-11 2.749701e-11 2.734048e-11 2.656553e-11
#> 229 9.571717e-12 9.571717e-12 8.731971e-12 8.674937e-12 8.464680e-12
#> 232 4.317105e-12 4.317105e-12 3.944252e-12 3.939941e-12 3.815762e-12
#> 235 1.301551e-12 1.301551e-12 1.184203e-12 1.186629e-12 1.195738e-12
#> 238 3.787871e-13 3.787871e-13 3.456162e-13 3.373911e-13 3.224916e-13
#> year
#> length 6 7 8 9 10
#> 1 3.079106e-55 2.424385e-55 3.042075e-55 6.023616e-55 7.999150e-55
#> 4 3.724152e-15 2.932273e-15 3.679363e-15 7.285512e-15 9.674902e-15
#> 7 2.724912e-01 2.145504e-01 2.692140e-01 5.330710e-01 7.078995e-01
#> 10 1.137520e+05 8.956450e+04 1.123839e+05 2.225315e+05 2.955140e+05
#> 13 1.361426e+07 1.071941e+07 1.345052e+07 2.663340e+07 3.536821e+07
#> 16 3.124893e+07 2.460609e+07 3.087328e+07 6.113031e+07 8.118242e+07
#> 19 5.890840e+06 4.856205e+06 5.840816e+06 1.132436e+07 1.548370e+07
#> 22 3.914669e+06 5.522178e+06 4.098913e+06 5.414418e+06 1.217898e+07
#> 25 8.049382e+06 1.134916e+07 8.332378e+06 1.076727e+07 2.472023e+07
#> 28 6.871182e+06 7.434941e+06 5.832941e+06 7.116697e+06 1.569210e+07
#> 31 8.998026e+06 4.090356e+06 4.396323e+06 4.080112e+06 6.859097e+06
#> 34 1.230059e+07 4.509421e+06 5.096287e+06 4.213436e+06 5.627400e+06
#> 37 1.086142e+07 5.410958e+06 4.326100e+06 3.777049e+06 4.467309e+06
#> 40 8.496144e+06 6.618034e+06 3.422449e+06 3.211989e+06 3.164581e+06
#> 43 7.192161e+06 7.088956e+06 3.556769e+06 2.954465e+06 2.618835e+06
#> 46 6.055716e+06 6.260740e+06 4.225777e+06 2.757423e+06 2.416906e+06
#> 49 5.164049e+06 5.047000e+06 4.700872e+06 2.785380e+06 2.311760e+06
#> 52 4.751098e+06 4.088550e+06 4.599504e+06 3.061875e+06 2.294474e+06
#> 55 4.610608e+06 3.452279e+06 4.055791e+06 3.284212e+06 2.393646e+06
#> 58 4.459776e+06 3.070627e+06 3.414663e+06 3.209624e+06 2.568023e+06
#> 61 4.144348e+06 2.841588e+06 2.889963e+06 2.865262e+06 2.680415e+06
#> 64 3.651093e+06 2.644432e+06 2.520022e+06 2.431719e+06 2.618415e+06
#> 67 3.056518e+06 2.395132e+06 2.250716e+06 2.053094e+06 2.388618e+06
#> 70 2.456939e+06 2.074320e+06 2.008590e+06 1.767116e+06 2.079237e+06
#> 73 1.919418e+06 1.711552e+06 1.745927e+06 1.541971e+06 1.772446e+06
#> 76 1.470249e+06 1.352050e+06 1.455323e+06 1.334248e+06 1.501309e+06
#> 79 1.107976e+06 1.031082e+06 1.157958e+06 1.121294e+06 1.261188e+06
#> 82 8.203619e+05 7.651142e+05 8.821307e+05 9.046689e+05 1.038413e+06
#> 85 5.945326e+05 5.553177e+05 6.477356e+05 6.986489e+05 8.277260e+05
#> 88 4.200435e+05 3.949182e+05 4.617589e+05 5.176918e+05 6.338194e+05
#> 91 2.884373e+05 2.749240e+05 3.213284e+05 3.697797e+05 4.649989e+05
#> 94 1.921924e+05 1.869145e+05 2.188496e+05 2.557876e+05 3.271458e+05
#> 97 1.242171e+05 1.237939e+05 1.458800e+05 1.719125e+05 2.213204e+05
#> 100 7.791632e+04 7.970975e+04 9.500302e+04 1.124345e+05 1.444415e+05
#> 103 4.748833e+04 4.983698e+04 6.030279e+04 7.156346e+04 9.120289e+04
#> 106 2.816546e+04 3.024267e+04 3.722669e+04 4.429413e+04 5.583734e+04
#> 109 1.628302e+04 1.781478e+04 2.231656e+04 2.663318e+04 3.319513e+04
#> 112 9.190574e+03 1.019260e+04 1.298136e+04 1.554417e+04 1.917967e+04
#> 115 5.071931e+03 5.669070e+03 7.326377e+03 8.802505e+03 1.077601e+04
#> 118 2.740056e+03 3.068417e+03 4.013440e+03 4.836928e+03 5.889795e+03
#> 121 1.450498e+03 1.618031e+03 2.135728e+03 2.580292e+03 3.132931e+03
#> 124 7.529221e+02 8.322201e+02 1.105161e+03 1.337390e+03 1.622708e+03
#> 127 3.834116e+02 4.180000e+02 5.567591e+02 6.742056e+02 8.189545e+02
#> 130 1.916021e+02 2.052561e+02 2.734114e+02 3.309726e+02 4.030500e+02
#> 133 9.398344e+01 9.864455e+01 1.310482e+02 1.584214e+02 1.936143e+02
#> 136 4.525855e+01 4.644734e+01 6.138572e+01 7.403385e+01 9.087211e+01
#> 139 2.140113e+01 2.144810e+01 2.813655e+01 3.382313e+01 4.171552e+01
#> 142 9.939619e+00 9.722175e+00 1.263489e+01 1.512610e+01 1.875034e+01
#> 145 4.535646e+00 4.329821e+00 5.565174e+00 6.630038e+00 8.261109e+00
#> 148 2.034307e+00 1.896157e+00 2.407025e+00 2.851717e+00 3.571524e+00
#> 151 8.972318e-01 8.171937e-01 1.023392e+00 1.205038e+00 1.516747e+00
#> 154 3.893439e-01 3.468612e-01 4.281591e-01 5.008149e-01 6.333772e-01
#> 157 1.663240e-01 1.451064e-01 1.764367e-01 2.049225e-01 2.603334e-01
#> 160 6.999042e-02 5.987232e-02 7.167876e-02 8.263573e-02 1.054210e-01
#> 163 2.903124e-02 2.438214e-02 2.873327e-02 3.287136e-02 4.209664e-02
#> 166 1.187747e-02 9.806448e-03 1.137438e-02 1.290988e-02 1.659073e-02
#> 169 4.796283e-03 3.897840e-03 4.449939e-03 5.010066e-03 6.458586e-03
#> 172 1.912928e-03 1.532068e-03 1.721793e-03 1.922745e-03 2.485432e-03
#> 175 7.540372e-04 5.958463e-04 6.593377e-04 7.302606e-04 9.461928e-04
#> 178 2.939472e-04 2.294272e-04 2.500452e-04 2.746723e-04 3.565947e-04
#> 181 1.133973e-04 8.750903e-05 9.396800e-05 1.023804e-04 1.331299e-04
#> 184 4.331695e-05 3.308195e-05 3.501419e-05 3.783992e-05 4.926644e-05
#> 187 1.639447e-05 1.240199e-05 1.294362e-05 1.387632e-05 1.808291e-05
#> 190 6.151265e-06 4.612833e-06 4.749391e-06 5.051526e-06 6.586628e-06
#> 193 2.289206e-06 1.702980e-06 1.730572e-06 1.826417e-06 2.382025e-06
#> 196 8.455607e-07 6.244548e-07 6.266011e-07 6.563015e-07 8.559225e-07
#> 199 3.100583e-07 2.274425e-07 2.254637e-07 2.344025e-07 3.055918e-07
#> 202 1.129619e-07 8.235593e-08 8.069235e-08 8.328909e-08 1.085122e-07
#> 205 4.087344e-08 2.962333e-08 2.869027e-08 2.940088e-08 3.828286e-08
#> 208 1.471627e-08 1.061156e-08 1.016823e-08 1.035071e-08 1.346052e-08
#> 211 5.281762e-09 3.795985e-09 3.604986e-09 3.651411e-09 4.733402e-09
#> 214 1.877335e-09 1.341729e-09 1.261156e-09 1.266377e-09 1.642372e-09
#> 217 6.685312e-10 4.785916e-10 4.458499e-10 4.468099e-10 5.791010e-10
#> 220 2.348646e-10 1.660732e-10 1.527788e-10 1.513139e-10 1.958379e-10
#> 223 8.216816e-11 5.710184e-11 5.121797e-11 5.013030e-11 6.501059e-11
#> 226 2.879873e-11 2.005617e-11 1.833626e-11 1.813840e-11 2.294751e-11
#> 229 9.232211e-12 6.333925e-12 5.145784e-12 4.754355e-12 6.129407e-12
#> 232 3.954327e-12 2.817751e-12 2.473715e-12 2.520505e-12 3.592394e-12
#> 235 1.287233e-12 8.231473e-13 7.183342e-13 5.650984e-13 7.826031e-13
#> 238 3.862024e-13 2.671256e-13 1.764857e-13 1.576647e-13 1.388295e-13
#> year
#> length 11 12 13 14 15
#> 1 8.092708e-55 8.094727e-55 5.873565e-55 1.260772e-54 1.553399e-54
#> 4 9.788060e-15 9.790502e-15 7.104026e-15 1.524893e-14 1.878822e-14
#> 7 7.161791e-01 7.163578e-01 5.197920e-01 1.115744e+00 1.374709e+00
#> 10 2.989703e+05 2.990449e+05 2.169882e+05 4.657693e+05 5.738749e+05
#> 13 3.578188e+07 3.579081e+07 2.596995e+07 5.574500e+07 6.868347e+07
#> 16 8.213562e+07 8.215200e+07 5.961317e+07 1.279481e+08 1.576557e+08
#> 19 1.613219e+07 1.561599e+07 1.175662e+07 2.362279e+07 3.046747e+07
#> 22 1.755883e+07 1.173667e+07 1.328335e+07 1.044085e+07 2.811802e+07
#> 25 3.604387e+07 2.393113e+07 2.730915e+07 2.069281e+07 5.730992e+07
#> 28 2.355342e+07 1.687095e+07 1.803974e+07 1.401192e+07 3.573571e+07
#> 31 1.255638e+07 1.308090e+07 1.032613e+07 9.112767e+06 1.344413e+07
#> 34 1.193398e+07 1.533228e+07 1.085663e+07 9.940839e+06 9.384709e+06
#> 37 9.069418e+06 1.289715e+07 1.043978e+07 8.500786e+06 7.537611e+06
#> 40 5.351176e+06 9.258220e+06 9.870118e+06 6.612087e+06 5.702602e+06
#> 43 3.443459e+06 7.002603e+06 9.359606e+06 5.928823e+06 4.694080e+06
#> 46 2.596816e+06 5.043445e+06 7.852086e+06 5.611375e+06 3.835348e+06
#> 49 2.166175e+06 3.376982e+06 5.945453e+06 5.188948e+06 3.106854e+06
#> 52 1.992348e+06 2.349476e+06 4.268195e+06 4.524868e+06 2.629905e+06
#> 55 1.964476e+06 1.846899e+06 2.960234e+06 3.641106e+06 2.274768e+06
#> 58 2.014327e+06 1.639330e+06 2.062318e+06 2.712443e+06 1.906812e+06
#> 61 2.108897e+06 1.580259e+06 1.545455e+06 1.909036e+06 1.500193e+06
#> 64 2.197141e+06 1.593631e+06 1.304780e+06 1.318640e+06 1.100098e+06
#> 67 2.211017e+06 1.634092e+06 1.229281e+06 9.511554e+05 7.618153e+05
#> 70 2.112997e+06 1.662405e+06 1.237288e+06 7.656502e+05 5.153038e+05
#> 73 1.919713e+06 1.645023e+06 1.270960e+06 7.011704e+05 3.601926e+05
#> 76 1.677866e+06 1.566108e+06 1.287450e+06 6.984505e+05 2.768942e+05
#> 79 1.427886e+06 1.430997e+06 1.259591e+06 7.100823e+05 2.397526e+05
#> 82 1.188977e+06 1.257212e+06 1.178584e+06 7.047005e+05 2.257904e+05
#> 85 9.657797e+05 1.063776e+06 1.051535e+06 6.680217e+05 2.184926e+05
#> 88 7.599580e+05 8.665152e+05 8.946845e+05 6.003710e+05 2.082861e+05
#> 91 5.755843e+05 6.780995e+05 7.265850e+05 5.112892e+05 1.913593e+05
#> 94 4.180413e+05 5.086527e+05 5.636332e+05 4.135283e+05 1.678792e+05
#> 97 2.909104e+05 3.652475e+05 4.178761e+05 3.185705e+05 1.402053e+05
#> 100 1.942167e+05 2.510789e+05 2.963056e+05 2.344000e+05 1.114202e+05
#> 103 1.247014e+05 1.654430e+05 2.011588e+05 1.651100e+05 8.431243e+04
#> 106 7.722687e+04 1.047219e+05 1.309523e+05 1.115615e+05 6.082329e+04
#> 109 4.625892e+04 6.384296e+04 8.190457e+04 7.243575e+04 4.189429e+04
#> 112 2.686659e+04 3.758922e+04 4.932748e+04 4.527175e+04 2.759945e+04
#> 115 1.515928e+04 2.143009e+04 2.867296e+04 2.728161e+04 1.742353e+04
#> 118 8.322620e+03 1.185811e+04 1.612390e+04 1.587884e+04 1.056196e+04
#> 121 4.451115e+03 6.381427e+03 8.791118e+03 8.941574e+03 6.160825e+03
#> 124 2.321194e+03 3.345560e+03 4.656739e+03 4.879654e+03 3.465315e+03
#> 127 1.181229e+03 1.711128e+03 2.400957e+03 2.585005e+03 1.883524e+03
#> 130 5.870272e+02 8.548192e+02 1.206884e+03 1.331448e+03 9.913283e+02
#> 133 2.851047e+02 4.175301e+02 5.923241e+02 6.677928e+02 5.062238e+02
#> 136 1.354271e+02 1.995812e+02 2.842050e+02 3.266230e+02 2.512862e+02
#> 139 6.296690e+01 9.344128e+01 1.334726e+02 1.560053e+02 1.214719e+02
#> 142 2.868083e+01 4.288445e+01 6.141944e+01 7.285992e+01 5.727955e+01
#> 145 1.280930e+01 1.930868e+01 2.772079e+01 3.331451e+01 2.638953e+01
#> 148 5.614398e+00 8.535826e+00 1.228282e+01 1.493085e+01 1.189654e+01
#> 151 2.417241e+00 3.707904e+00 5.347751e+00 6.566397e+00 5.255018e+00
#> 154 1.023221e+00 1.583986e+00 2.289803e+00 2.836753e+00 2.277510e+00
#> 157 4.262272e-01 6.659830e-01 9.650278e-01 1.205052e+00 9.696397e-01
#> 160 1.748706e-01 2.758103e-01 4.006327e-01 5.038447e-01 4.059961e-01
#> 163 7.072422e-02 1.125990e-01 1.639675e-01 2.075349e-01 1.673633e-01
#> 166 2.821987e-02 4.534930e-02 6.620711e-02 8.428829e-02 6.799250e-02
#> 169 1.111793e-02 1.803204e-02 2.639410e-02 3.378196e-02 2.724788e-02
#> 172 4.328207e-03 7.083928e-03 1.039620e-02 1.337170e-02 1.078099e-02
#> 175 1.666193e-03 2.751471e-03 4.048622e-03 5.231175e-03 4.215002e-03
#> 178 6.347170e-04 1.057334e-03 1.559887e-03 2.024106e-03 1.629627e-03
#> 181 2.394210e-04 4.022531e-04 5.949904e-04 7.751472e-04 6.235156e-04
#> 184 8.948398e-05 1.515991e-04 2.248137e-04 2.939900e-04 2.362510e-04
#> 187 3.315863e-05 5.663258e-05 8.419556e-05 1.104961e-04 8.870510e-05
#> 190 1.218888e-05 2.098241e-05 3.127176e-05 4.117946e-05 3.302459e-05
#> 193 4.446889e-06 7.714112e-06 1.152489e-05 1.522545e-05 1.219795e-05
#> 196 1.611380e-06 2.816058e-06 4.216952e-06 5.588067e-06 4.472417e-06
#> 199 5.799729e-07 1.020968e-06 1.532427e-06 2.036776e-06 1.628585e-06
#> 202 2.075431e-07 3.679293e-07 5.534650e-07 7.376487e-07 5.892684e-07
#> 205 7.378389e-08 1.316996e-07 1.985526e-07 2.654711e-07 2.119184e-07
#> 208 2.612570e-08 4.694211e-08 7.091738e-08 9.505322e-08 7.581164e-08
#> 211 9.235582e-09 1.669602e-08 2.528928e-08 3.391210e-08 2.700369e-08
#> 214 3.231917e-09 5.875813e-09 8.907694e-09 1.200691e-08 9.574851e-09
#> 217 1.135665e-09 2.075592e-09 3.156921e-09 4.262808e-09 3.376456e-09
#> 220 3.918870e-10 7.219375e-10 1.098464e-09 1.486296e-09 1.185530e-09
#> 223 1.325761e-10 2.486336e-10 3.793834e-10 5.153188e-10 4.077216e-10
#> 226 4.649024e-11 8.705947e-11 1.319810e-10 1.803979e-10 1.431498e-10
#> 229 1.309421e-11 2.590204e-11 4.049675e-11 5.558572e-11 4.387261e-11
#> 232 7.054142e-12 1.285799e-11 1.978183e-11 2.561119e-11 2.028637e-11
#> 235 1.887529e-12 3.622362e-12 5.642155e-12 8.030463e-12 6.105155e-12
#> 238 3.235732e-13 8.284757e-13 1.347230e-12 1.987658e-12 1.625133e-12
#> year
#> length 16 17 18 19 20
#> 1 3.373855e-54 1.354893e-54 1.303805e-54 8.818549e-55 1.037215e-54
#> 4 4.080648e-14 1.638731e-14 1.576940e-14 1.066596e-14 1.254502e-14
#> 7 2.985755e+00 1.199038e+00 1.153826e+00 7.804138e-01 9.179022e-01
#> 10 1.246409e+06 5.005405e+05 4.816669e+05 3.257852e+05 3.831800e+05
#> 13 1.491749e+08 5.990656e+07 5.764768e+07 3.899119e+07 4.586041e+07
#> 16 3.423992e+08 1.375662e+08 1.323368e+08 8.951645e+07 1.052700e+08
#> 19 6.412582e+07 3.377967e+07 2.716678e+07 1.935315e+07 2.062791e+07
#> 22 3.814171e+07 1.052540e+08 4.150373e+07 3.901907e+07 2.197440e+07
#> 25 7.669939e+07 2.193118e+08 8.763308e+07 8.148799e+07 4.559124e+07
#> 28 5.041819e+07 1.403809e+08 7.802165e+07 5.865949e+07 3.558084e+07
#> 31 2.784741e+07 6.526394e+07 1.098839e+08 5.015976e+07 3.830941e+07
#> 34 2.690955e+07 5.660027e+07 1.489699e+08 6.898473e+07 5.150961e+07
#> 37 1.984783e+07 4.496540e+07 1.199007e+08 8.689211e+07 5.082685e+07
#> 40 1.053812e+07 3.041733e+07 7.506689e+07 1.074442e+08 5.207331e+07
#> 43 5.697176e+06 2.140178e+07 5.026155e+07 1.104475e+08 6.269716e+07
#> 46 3.673190e+06 1.409557e+07 3.523954e+07 8.736996e+07 7.449825e+07
#> 49 2.624579e+06 8.104102e+06 2.352131e+07 5.824599e+07 7.748635e+07
#> 52 2.025912e+06 4.453892e+06 1.483582e+07 3.671626e+07 6.710820e+07
#> 55 1.670018e+06 2.647293e+06 8.792152e+06 2.286227e+07 4.888444e+07
#> 58 1.426195e+06 1.798361e+06 4.926459e+06 1.386515e+07 3.143719e+07
#> 61 1.216699e+06 1.375368e+06 2.751574e+06 8.057769e+06 1.884442e+07
#> 64 1.003324e+06 1.127072e+06 1.660439e+06 4.500364e+06 1.089609e+07
#> 67 7.840201e+05 9.362320e+05 1.132176e+06 2.478991e+06 6.136475e+06
#> 70 5.789626e+05 7.566684e+05 8.489243e+05 1.410489e+06 3.368432e+06
#> 73 4.101618e+05 5.834070e+05 6.592399e+05 8.661064e+05 1.818031e+06
#> 76 2.883320e+05 4.291660e+05 5.066303e+05 5.783607e+05 9.874565e+05
#> 79 2.109618e+05 3.066059e+05 3.781422e+05 4.073161e+05 5.566148e+05
#> 82 1.671915e+05 2.198650e+05 2.751282e+05 2.914819e+05 3.326358e+05
#> 85 1.439121e+05 1.644381e+05 1.991223e+05 2.077402e+05 2.106513e+05
#> 88 1.300050e+05 1.311967e+05 1.474296e+05 1.474644e+05 1.391830e+05
#> 91 1.181449e+05 1.106610e+05 1.140074e+05 1.056304e+05 9.453556e+04
#> 94 1.047984e+05 9.562790e+04 9.203910e+04 7.749255e+04 6.557289e+04
#> 97 8.927844e+04 8.196216e+04 7.600866e+04 5.852369e+04 4.637384e+04
#> 100 7.253070e+04 6.814820e+04 6.253910e+04 4.509323e+04 3.332669e+04
#> 103 5.606774e+04 5.432022e+04 5.019859e+04 3.482442e+04 2.413015e+04
#> 106 4.124558e+04 4.129959e+04 3.880798e+04 2.647335e+04 1.738656e+04
#> 109 2.891066e+04 2.991318e+04 2.871639e+04 1.954707e+04 1.231245e+04
#> 112 1.934325e+04 2.065437e+04 2.029528e+04 1.390762e+04 8.485467e+03
#> 115 1.237878e+04 1.361774e+04 1.370221e+04 9.499408e+03 5.654783e+03
#> 118 7.593520e+03 8.590988e+03 8.849245e+03 6.222529e+03 3.631436e+03
#> 121 4.474912e+03 5.197626e+03 5.477490e+03 3.911182e+03 2.244546e+03
#> 124 2.538998e+03 3.022654e+03 3.256576e+03 2.362318e+03 1.335535e+03
#> 127 1.390027e+03 1.693482e+03 1.863889e+03 1.373605e+03 7.658164e+02
#> 130 7.358515e+02 9.160965e+02 1.029254e+03 7.704776e+02 4.238523e+02
#> 133 3.774466e+02 4.795065e+02 5.495472e+02 4.177656e+02 2.268344e+02
#> 136 1.879642e+02 2.433458e+02 2.842909e+02 2.194138e+02 1.176070e+02
#> 139 9.104699e+01 1.199693e+02 1.427739e+02 1.118423e+02 5.918543e+01
#> 142 4.297358e+01 5.756130e+01 6.973799e+01 5.543331e+01 2.896425e+01
#> 145 1.979775e+01 2.692519e+01 3.318845e+01 2.676251e+01 1.380866e+01
#> 148 8.916597e+00 1.229889e+01 1.541415e+01 1.260660e+01 6.424202e+00
#> 151 3.931887e+00 5.494419e+00 6.997508e+00 5.803172e+00 2.921203e+00
#> 154 1.699931e+00 2.404123e+00 3.109525e+00 2.614378e+00 1.300269e+00
#> 157 7.215418e-01 1.031722e+00 1.354469e+00 1.154268e+00 5.673454e-01
#> 160 3.010421e-01 4.348065e-01 5.790682e-01 5.000849e-01 2.429849e-01
#> 163 1.236031e-01 1.801683e-01 2.432782e-01 2.128664e-01 1.022742e-01
#> 166 4.999624e-02 7.348519e-02 1.005506e-01 8.912348e-02 4.235565e-02
#> 169 1.994295e-02 2.953380e-02 4.092969e-02 3.674207e-02 1.727765e-02
#> 172 7.852291e-03 1.170760e-02 1.642485e-02 1.492993e-02 6.949065e-03
#> 175 3.054514e-03 4.581939e-03 6.504044e-03 5.985277e-03 2.758341e-03
#> 178 1.174861e-03 1.771915e-03 2.543721e-03 2.369340e-03 1.081521e-03
#> 181 4.471631e-04 6.776482e-04 9.833791e-04 9.269338e-04 4.192255e-04
#> 184 1.685373e-04 2.564879e-04 3.760780e-04 3.586640e-04 1.607773e-04
#> 187 6.294664e-05 9.614888e-05 1.423835e-04 1.373611e-04 6.104969e-05
#> 190 2.331164e-05 3.572155e-05 5.340309e-05 5.210476e-05 2.296787e-05
#> 193 8.565562e-06 1.316135e-05 1.985547e-05 1.958892e-05 8.566729e-06
#> 196 3.124438e-06 4.811898e-06 7.322640e-06 7.303491e-06 3.169804e-06
#> 199 1.131981e-06 1.746706e-06 2.680278e-06 2.702009e-06 1.164160e-06
#> 202 4.075606e-07 6.298621e-07 9.741950e-07 9.924637e-07 4.246149e-07
#> 205 1.458523e-07 2.257104e-07 3.517874e-07 3.621008e-07 1.538767e-07
#> 208 5.193549e-08 8.043681e-08 1.262726e-07 1.312987e-07 5.543754e-08
#> 211 1.841117e-08 2.852807e-08 4.508158e-08 4.733794e-08 1.986291e-08
#> 214 6.496251e-09 1.006430e-08 1.601760e-08 1.698274e-08 7.082859e-09
#> 217 2.278672e-09 3.535167e-09 5.658700e-09 6.053500e-09 2.510165e-09
#> 220 7.977878e-10 1.241066e-09 1.995041e-09 2.154145e-09 8.893843e-10
#> 223 2.754360e-10 4.296427e-10 6.998829e-10 7.616414e-10 3.129537e-10
#> 226 9.836669e-11 1.465609e-10 2.418034e-10 2.676064e-10 1.093811e-10
#> 229 2.775964e-11 4.537921e-11 7.510834e-11 8.948380e-11 3.520934e-11
#> 232 1.353465e-11 2.514094e-11 3.522232e-11 3.541106e-11 1.563507e-11
#> 235 3.765146e-12 5.663937e-12 1.253874e-11 1.169798e-11 4.526652e-12
#> 238 9.563853e-13 1.272914e-12 2.115507e-12 4.382395e-12 1.502995e-12
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x5604e2951658>
#> <environment: 0x5604e4029800>
#>
sim <- sim_abundance()
plot_trend(sim)
plot_surface(sim, mat = "N")
plot_surface(sim, mat = "Z")
plot_surface(sim, mat = "N_at_length", xlab = "Length", zlab = "N")