These functions return a function to use inside sim_abundance.
Given parameters, it generates N0, R and Z values.
Arguments
- log_mean
One mean value or a vector of means, in log scale, of length equal to years for
sim_Ror a matrix of means with rows equaling the number of ages and columns equaling the number of years forsim_Z.- log_sd
Standard deviation of the variable in the log scale.
- random_walk
Simulate recruitment as a random walk?
- plot
produce a simple plot of the simulated values?
- phi_age
Autoregressive parameter for the age dimension.
- phi_year
Autoregressive parameter for the year dimension.
- N0
Either specify "exp" or numeric vector of starting abundance excluding the first age. If "exp" is specified using sim_N0, then abundance at age are calculated using exponential decay.
Value
Returns a function for use inside sim_abundance.
Details
sim_R generates uncorrelated recruitment values or random walk values from a log normal distribution. sim_Z does the same as sim_R when phi_age and phi_year are both 0, otherwise values are correlated in the age and/or year dimension. The covariance structure follows that described in Cadigan (2015).
References
Cadigan, Noel G. 2015. A State-Space Stock Assessment Model for Northern Cod, Including Under-Reported Catches and Variable Natural Mortality Rates. Canadian Journal of Fisheries and Aquatic Sciences 73 (2): 296-308.
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 8
#> 122274.62 134392.37 137231.84 139335.64 147797.33 154411.46 149249.09 143309.82
#> 9 10 11 12 13 14 15 16
#> 140342.64 129075.54 136608.92 134194.07 123359.80 121874.23 118291.61 132192.96
#> 17 18 19 20 21 22 23 24
#> 131613.05 137183.74 137590.18 134846.78 124246.92 139620.98 134439.83 132856.77
#> 25 26 27 28 29 30 31 32
#> 137079.55 123603.97 119788.26 110788.64 104105.26 106960.02 97485.52 108084.48
#> 33 34 35 36 37 38 39 40
#> 117404.03 121299.10 134157.21 135210.40 142862.63 129037.97 134134.81 116432.45
#> 41 42 43 44 45 46 47 48
#> 111534.20 124179.82 116455.07 104180.60 108389.20 92480.38 94792.86 82711.71
#> 49 50 51 52 53 54 55 56
#> 81382.55 81492.20 79264.54 70395.68 80965.34 70981.67 70649.78 75406.11
#> 57 58 59 60 61 62 63 64
#> 71538.35 71206.38 57633.21 47867.15 49901.48 53922.03 58479.24 58333.34
#> 65 66 67 68 69 70 71 72
#> 57754.15 56905.72 58156.48 61806.67 60921.15 59697.07 62430.91 62029.23
#> 73 74 75 76 77 78 79 80
#> 72702.44 67005.35 62137.28 66983.09 66258.45 61565.96 60744.99 71074.38
#> 81 82 83 84 85 86 87 88
#> 71945.72 80539.28 73836.74 85729.19 93943.07 107536.90 124289.68 105792.25
#> 89 90 91 92 93 94 95 96
#> 106139.21 108225.45 102959.18 91748.63 87719.50 93857.38 81134.56 81276.21
#> 97 98 99 100
#> 70251.41 66361.85 65667.39 77597.26
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 8
#> 136222.8 290625.8 499597.6 678712.2 781494.7 420238.0 540227.2 416044.4
#> 9 10 11 12 13 14 15 16
#> 865341.4 609494.3 600313.7 421664.3 318520.7 744214.8 727609.4 741688.3
#> 17 18 19 20
#> 420193.7 1092289.3 344092.0 402149.8
#>
#> $N0
#> [1] 136222.76064 109997.38114 89377.23230 70026.50128 54098.88562
#> [6] 39040.47028 29584.61458 21555.80552 13851.45492 8579.23892
#> [11] 5160.74744 2835.59215 1703.43787 984.60804 539.01060
#> [16] 369.02618 261.16228 194.13694 116.68354 72.87514
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.2138349 0.6898366 1.5802652 0.8363451 0.7102069 0.3833408 0.4201759
#> 2 0.2075906 0.7721978 1.3590252 0.7291968 0.6803491 0.4349079 0.4169458
#> 3 0.2439922 1.0879761 1.5339443 0.8178657 0.8765656 0.6761960 0.5526992
#> 4 0.2580602 1.2107729 1.4685904 0.7468913 0.6674465 0.4634673 0.5050806
#> 5 0.3262148 1.1490534 0.8521642 0.5190940 0.6134319 0.4409019 0.5078943
#> 6 0.2773444 0.8996340 0.7595204 0.7392785 0.7576136 0.4826635 0.4864931
#> 7 0.3166093 0.9963964 0.7844650 0.6607656 0.6087699 0.4037832 0.3200403
#> 8 0.4422549 0.8179924 0.7596410 1.0488899 0.6786321 0.4772857 0.3616987
#> 9 0.4790451 1.3755607 1.3492490 1.3691196 0.6489006 0.3679124 0.3579513
#> 10 0.5082638 1.3007843 1.1660928 1.2078732 0.6091510 0.4194334 0.3460219
#> 11 0.5988306 1.3309303 1.1941970 0.6875351 0.4825351 0.4859134 0.5162489
#> 12 0.5096023 1.4403549 1.2148508 0.7597341 0.4518052 0.5512373 0.5889962
#> 13 0.5481601 1.5316802 1.4647154 0.6896289 0.3959285 0.4544959 0.5673320
#> 14 0.6025084 1.3878387 1.2887976 0.4806332 0.3354446 0.4736759 0.5518680
#> 15 0.3788676 0.6824976 0.9002799 0.3661630 0.1963565 0.3198889 0.4619684
#> 16 0.3457256 0.9092461 1.4619903 0.4761364 0.2733037 0.5557065 0.6035796
#> 17 0.2965782 0.8308684 2.0008227 0.4315889 0.3236497 0.5464850 0.5678003
#> 18 0.5090983 1.1715018 2.3282482 0.7762912 0.3364124 0.5664207 0.4605257
#> 19 0.4707179 0.8626946 1.7588810 0.5428408 0.2327068 0.5731458 0.4124372
#> 20 0.5323348 0.7190862 1.4055513 0.5509323 0.2410598 0.5273472 0.5521799
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.2554093 0.6263726 1.4741279 1.2629356 1.0323310 0.9374615 0.5734147
#> 2 0.4007493 0.7288410 1.6842732 1.3615890 1.2233118 0.8358324 0.5689758
#> 3 0.3776203 0.5389328 1.4122639 1.9778754 1.1142538 0.7560925 0.7572436
#> 4 0.4827727 0.5725810 1.8761752 1.8617141 1.4173445 0.5322550 0.7731548
#> 5 0.4531460 0.8588347 1.8225692 1.7220375 1.2276695 0.3568480 0.4657615
#> 6 0.4041067 0.7064368 1.8535825 2.0867533 1.4634332 0.4732877 0.4517515
#> 7 0.3095880 0.5193902 1.9472408 2.7344783 1.7922168 0.7105777 0.6825167
#> 8 0.4486559 0.4980909 1.5945407 2.7000213 1.2016857 0.4302139 0.3838254
#> 9 0.3766037 0.4623489 1.3092723 1.9029149 0.9263137 0.5563703 0.4741346
#> 10 0.3548075 0.4174535 1.6373959 1.9949071 0.9404912 0.5388317 0.4048788
#> 11 0.4907854 0.6725277 1.4917412 1.6273829 1.2966520 0.7876645 0.4767044
#> 12 0.6053706 0.4623670 1.2656280 1.0088241 1.1618697 0.5111771 0.5010432
#> 13 0.7178271 0.3883028 1.1575816 0.8707172 0.9600917 0.4550904 0.4905011
#> 14 0.6550866 0.3377990 0.9999530 0.9773905 1.1198660 0.6240258 0.5814364
#> 15 0.5978861 0.3950926 0.8305703 0.7885475 0.6763059 0.4784573 0.5296821
#> 16 0.6088191 0.4238860 0.6348029 0.9576550 0.6821565 0.3457010 0.5767192
#> 17 0.8551950 0.4628027 0.5193225 0.7463230 0.6429251 0.2618013 0.4326078
#> 18 0.5697909 0.4094358 0.4776116 0.5504624 0.6006153 0.3249849 0.4465711
#> 19 0.7019126 0.3707229 0.5527022 0.6948743 0.5454920 0.3121099 0.4214610
#> 20 0.8358359 0.2891246 0.4939061 0.6384545 0.4083406 0.3249914 0.3236164
#> year
#> age 15 16 17 18 19 20
#> 1 0.5188260 0.3293498 0.1782271 0.3454140 0.3465322 0.6028942
#> 2 0.6538062 0.3961486 0.2082834 0.4376281 0.4043932 0.4710451
#> 3 0.6926436 0.3966915 0.1915579 0.5203929 0.6155608 0.4206725
#> 4 0.6302632 0.3475862 0.2007850 0.4839263 0.6915749 0.4020046
#> 5 0.4866945 0.2933178 0.2311570 0.4870457 0.6493696 0.3540207
#> 6 0.4322558 0.1685982 0.2076356 0.5378220 0.7487321 0.3531521
#> 7 0.5957743 0.3163960 0.3022620 0.5988135 0.7544513 0.3888779
#> 8 0.5514967 0.2853499 0.2452155 0.5412522 0.6255476 0.3560470
#> 9 0.5954675 0.3081337 0.2862097 0.5817031 0.6713316 0.3467798
#> 10 0.5848786 0.3240862 0.3071106 0.6081465 0.6377586 0.2268289
#> 11 0.5404894 0.3762363 0.3790289 0.6279051 0.5784023 0.2175408
#> 12 0.4488015 0.5420330 0.3592839 0.7094690 0.5191278 0.2246240
#> 13 0.3138246 0.4236034 0.3511888 0.7941284 0.7571295 0.3302835
#> 14 0.3471504 0.5594368 0.3974962 0.9108740 0.6714342 0.2145290
#> 15 0.3262492 0.5383186 0.4008731 1.2397585 0.7817091 0.2458207
#> 16 0.2924550 0.6906482 0.4077578 0.9296897 0.8409559 0.2005013
#> 17 0.2785398 0.6150587 0.4852043 0.8522662 0.6146653 0.1522263
#> 18 0.3499104 0.7408717 0.5343290 0.9163140 0.6524780 0.1836186
#> 19 0.3049940 0.7005227 0.5644901 0.8782291 0.5398630 0.1923706
#> 20 0.3506535 0.8578610 0.6708651 1.0489792 0.5485332 0.2077026
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 136222.76064 290625.76910 499597.57888 678712.22561 7.814947e+05
#> 2 109997.38114 109997.38114 145794.75474 102877.37582 2.940801e+05
#> 3 89377.23230 89377.23230 50818.41294 37456.28880 4.961737e+04
#> 4 70026.50128 70026.50128 30110.97930 10960.68177 1.653218e+04
#> 5 54098.88562 54098.88562 20865.57904 6933.04741 5.193580e+03
#> 6 39040.47028 39040.47028 17145.91903 8898.98026 4.125575e+03
#> 7 29584.61458 29584.61458 15878.48179 8022.41754 4.248892e+03
#> 8 21555.80552 21555.80552 10922.86231 7246.36391 4.143224e+03
#> 9 13851.45492 13851.45492 9512.93793 5110.09040 2.538593e+03
#> 10 8579.23892 8579.23892 3500.23313 2467.98939 1.299653e+03
#> 11 5160.74744 5160.74744 2336.28238 1090.60957 7.375146e+02
#> 12 2835.59215 2835.59215 1363.63111 707.77003 5.483737e+02
#> 13 1703.43787 1703.43787 671.59212 404.66340 3.310883e+02
#> 14 984.60804 984.60804 368.23584 155.23433 2.030448e+02
#> 15 539.01060 539.01060 245.77216 101.48653 9.599563e+01
#> 16 369.02618 369.02618 272.39076 99.89554 7.036972e+01
#> 17 261.16228 261.16228 148.65401 63.13324 6.205298e+01
#> 18 194.13694 194.13694 113.78078 20.10159 4.100354e+01
#> 19 116.68354 116.68354 60.16327 11.08980 9.248928e+00
#> 20 72.87514 72.87514 49.24318 10.36237 6.444227e+00
#> year
#> age 6 7 8 9 10
#> 1 420237.97725 540227.23070 416044.36833 8.653414e+05 609494.33594
#> 2 384137.87183 286426.03952 354892.13684 3.222677e+05 462548.56851
#> 3 148933.95674 248661.76576 188770.98502 2.377131e+05 155483.81934
#> 4 20651.24052 75740.04037 143078.64487 1.294008e+05 138674.81850
#> 5 8481.28917 12991.66679 45705.85301 8.828955e+04 72990.79470
#> 6 2812.26798 5457.33478 7817.88307 2.905180e+04 37404.35067
#> 7 1934.00285 1735.55596 3355.05272 5.219007e+03 14334.13241
#> 8 2311.48065 1291.50559 1260.22152 2.461767e+03 3104.69931
#> 9 2101.90072 1434.19344 899.52354 8.046335e+02 1495.99056
#> 10 1326.71946 1454.88908 1002.65480 6.172422e+02 506.76026
#> 11 706.76750 872.21090 1029.32969 7.031703e+02 406.59110
#> 12 455.20633 434.75748 520.49608 6.300995e+02 358.90989
#> 13 349.02788 262.30647 241.23997 2.841243e+02 396.83110
#> 14 222.84060 221.55169 148.73729 1.176795e+02 192.69507
#> 15 145.18112 138.76485 127.58566 7.725371e+01 83.94535
#> 16 78.88146 105.43485 87.42772 7.016867e+01 52.03946
#> 17 53.54163 45.25167 57.65711 4.756006e+01 45.92529
#> 18 44.89556 30.99960 25.64733 2.451582e+01 29.93986
#> 19 29.29000 25.48062 19.55926 1.450725e+01 16.27911
#> 20 7.32872 16.51221 16.86906 9.694281e+00 10.01341
#> year
#> age 11 12 13 14 15
#> 1 6.003137e+05 421664.32333 3.185207e+05 7.442148e+05 7.276094e+05
#> 2 1.395610e+05 169782.25446 1.501866e+05 1.247393e+05 4.194377e+05
#> 3 8.583942e+04 35762.95896 4.995912e+04 6.510792e+04 7.061554e+04
#> 4 3.787449e+04 11876.99092 1.173597e+04 2.345568e+04 3.053283e+04
#> 5 2.124150e+04 5885.92347 2.878469e+03 6.892293e+03 1.082608e+04
#> 6 1.179604e+04 3795.89081 1.724426e+03 2.014579e+03 4.325996e+03
#> 7 5.860322e+03 1463.76337 8.785222e+02 1.074233e+03 1.282305e+03
#> 8 2.045010e+03 380.49825 2.438490e+02 4.316709e+02 5.428566e+02
#> 9 6.302594e+02 137.43303 1.144108e+02 1.585921e+02 2.940760e+02
#> 10 4.039421e+02 93.99264 5.442497e+01 6.559015e+01 9.871143e+01
#> 11 9.855769e+01 54.94675 3.669811e+01 3.175313e+01 4.375241e+01
#> 12 9.147510e+01 19.36097 1.502496e+01 1.669419e+01 1.971317e+01
#> 13 1.012349e+02 33.35617 6.058059e+00 9.011805e+00 1.011498e+01
#> 14 1.247023e+02 42.38210 1.277067e+01 3.843175e+00 5.518104e+00
#> 15 7.089189e+01 46.92444 1.383028e+01 6.842309e+00 2.148699e+00
#> 16 3.658344e+01 32.22068 2.386070e+01 8.571158e+00 4.028698e+00
#> 17 2.758299e+01 14.04043 1.628838e+01 1.688679e+01 4.814748e+00
#> 18 2.732203e+01 13.07728 7.381787e+00 1.253658e+01 1.095640e+01
#> 19 1.857059e+01 15.75615 7.172549e+00 5.333623e+00 8.021132e+00
#> 20 9.366885e+00 9.26927 9.131583e+00 5.249597e+00 3.499324e+00
#> year
#> age 16 17 18 19 20
#> 1 7.416883e+05 4.201937e+05 1.092289e+06 3.440920e+05 4.021498e+05
#> 2 4.330869e+05 5.335642e+05 3.515981e+05 7.732613e+05 2.433198e+05
#> 3 2.181338e+05 2.914271e+05 4.332418e+05 2.269797e+05 5.160604e+05
#> 4 3.532555e+04 1.467040e+05 2.406231e+05 2.574699e+05 1.226457e+05
#> 5 1.625725e+04 2.495366e+04 1.200169e+05 1.483101e+05 1.289375e+05
#> 6 6.654300e+03 1.212442e+04 1.980359e+04 7.374303e+04 7.747350e+04
#> 7 2.807759e+03 5.621873e+03 9.851127e+03 1.156567e+04 3.487794e+04
#> 8 7.067238e+02 2.046212e+03 4.155376e+03 5.412832e+03 5.438972e+03
#> 9 3.127326e+02 5.312804e+02 1.601235e+03 2.418508e+03 2.895694e+03
#> 10 1.621255e+02 2.298012e+02 3.990474e+02 8.950031e+02 1.235924e+03
#> 11 5.499939e+01 1.172472e+02 1.690347e+02 2.172250e+02 4.729873e+02
#> 12 2.548417e+01 3.775379e+01 8.025874e+01 9.021530e+01 1.218184e+02
#> 13 1.258475e+01 1.482069e+01 2.635880e+01 3.947970e+01 5.368165e+01
#> 14 7.390482e+00 8.239025e+00 1.043156e+01 1.191352e+01 1.851641e+01
#> 15 3.899638e+00 4.223888e+00 5.536629e+00 4.195287e+00 6.087512e+00
#> 16 1.550556e+00 2.276332e+00 2.828886e+00 1.602600e+00 1.919861e+00
#> 17 3.007136e+00 7.772177e-01 1.514079e+00 1.116494e+00 6.911983e-01
#> 18 3.644226e+00 1.625685e+00 4.784330e-01 6.456752e-01 6.038243e-01
#> 19 7.721538e+00 1.737196e+00 9.527531e-01 1.913687e-01 3.362378e-01
#> 20 5.912600e+00 3.832399e+00 9.878564e-01 3.958861e-01 1.115351e-01
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 8.276645e-58 1.765789e-57 3.035463e-57 4.123731e-57 4.748219e-57
#> 4 1.001053e-17 2.135706e-17 3.671366e-17 4.987617e-17 5.742929e-17
#> 7 7.324570e-04 1.562667e-03 2.686289e-03 3.649372e-03 4.202024e-03
#> 10 3.057656e+02 6.523385e+02 1.121397e+03 1.523437e+03 1.754143e+03
#> 13 3.659516e+04 7.807429e+04 1.342129e+05 1.823306e+05 2.099423e+05
#> 16 8.400640e+04 1.792058e+05 3.080556e+05 4.184849e+05 4.818853e+05
#> 19 1.699768e+04 3.392194e+04 5.749994e+04 7.632672e+04 9.118430e+04
#> 22 2.355115e+04 2.400150e+04 3.213936e+04 2.363008e+04 6.416257e+04
#> 25 4.883793e+04 4.884125e+04 6.436976e+04 4.543703e+04 1.295459e+05
#> 28 3.458819e+04 3.458820e+04 4.156525e+04 2.942881e+04 8.049565e+04
#> 31 2.739340e+04 2.739340e+04 2.059549e+04 1.485501e+04 2.927803e+04
#> 34 3.317447e+04 3.317447e+04 1.908400e+04 1.363616e+04 1.920751e+04
#> 37 3.091619e+04 3.091619e+04 1.630161e+04 1.050872e+04 1.423051e+04
#> 40 2.760878e+04 2.760878e+04 1.300750e+04 6.566427e+03 9.063353e+03
#> 43 2.664812e+04 2.664812e+04 1.153683e+04 4.631907e+03 6.215352e+03
#> 46 2.510025e+04 2.510025e+04 1.041872e+04 3.852882e+03 4.436183e+03
#> 49 2.311841e+04 2.311841e+04 9.466072e+03 3.585099e+03 3.177177e+03
#> 52 2.123374e+04 2.123374e+04 8.858282e+03 3.654389e+03 2.491753e+03
#> 55 1.936493e+04 1.936493e+04 8.456625e+03 3.855060e+03 2.219772e+03
#> 58 1.752575e+04 1.752575e+04 8.104074e+03 4.010458e+03 2.145584e+03
#> 61 1.573392e+04 1.573392e+04 7.682739e+03 4.034232e+03 2.123487e+03
#> 64 1.394124e+04 1.394124e+04 7.115940e+03 3.900979e+03 2.066075e+03
#> 67 1.211880e+04 1.211880e+04 6.385924e+03 3.611631e+03 1.931025e+03
#> 70 1.029119e+04 1.029119e+04 5.523719e+03 3.187785e+03 1.717213e+03
#> 73 8.519221e+03 8.519221e+03 4.591315e+03 2.675849e+03 1.453185e+03
#> 76 6.871679e+03 6.871679e+03 3.665839e+03 2.138203e+03 1.177712e+03
#> 79 5.403830e+03 5.403830e+03 2.819732e+03 1.633656e+03 9.226351e+02
#> 82 4.147680e+03 4.147680e+03 2.101759e+03 1.201494e+03 7.052704e+02
#> 85 3.111692e+03 3.111692e+03 1.529422e+03 8.571353e+02 5.297644e+02
#> 88 2.285462e+03 2.285462e+03 1.094532e+03 5.973746e+02 3.924452e+02
#> 91 1.646022e+03 1.646022e+03 7.748658e+02 4.090171e+02 2.868098e+02
#> 94 1.164030e+03 1.164030e+03 5.445534e+02 2.760858e+02 2.064091e+02
#> 97 8.088982e+02 8.088982e+02 3.802134e+02 1.839634e+02 1.458707e+02
#> 100 5.523449e+02 5.523449e+02 2.633018e+02 1.209468e+02 1.009372e+02
#> 103 3.702768e+02 3.702768e+02 1.802035e+02 7.831860e+01 6.821029e+01
#> 106 2.433050e+02 2.433050e+02 1.213301e+02 4.982689e+01 4.491770e+01
#> 109 1.563938e+02 1.563938e+02 7.999342e+01 3.106146e+01 2.877373e+01
#> 112 9.814005e+01 9.814005e+01 5.143713e+01 1.892578e+01 1.790663e+01
#> 115 6.001342e+01 6.001342e+01 3.216054e+01 1.124792e+01 1.081644e+01
#> 118 3.571312e+01 3.571312e+01 1.951391e+01 6.510931e+00 6.338772e+00
#> 121 2.066349e+01 2.066349e+01 1.147909e+01 3.667700e+00 3.603688e+00
#> 124 1.162011e+01 1.162011e+01 6.545127e+00 2.009973e+00 1.988092e+00
#> 127 6.351430e+00 6.351430e+00 3.618555e+00 1.071759e+00 1.064953e+00
#> 130 3.375732e+00 3.375732e+00 1.941315e+00 5.563338e-01 5.543571e-01
#> 133 1.745821e+00 1.745821e+00 1.011711e+00 2.813457e-01 2.807072e-01
#> 136 8.793360e-01 8.793360e-01 5.127977e-01 1.387476e-01 1.384253e-01
#> 139 4.317984e-01 4.317984e-01 2.531244e-01 6.679664e-02 6.655839e-02
#> 142 2.069490e-01 2.069490e-01 1.218449e-01 3.142823e-02 3.124363e-02
#> 145 9.691872e-02 9.691872e-02 5.727358e-02 1.446854e-02 1.433647e-02
#> 148 4.440448e-02 4.440448e-02 2.632414e-02 6.524878e-03 6.438611e-03
#> 151 1.992652e-02 1.992652e-02 1.184594e-02 2.885743e-03 2.833653e-03
#> 154 8.768459e-03 8.768459e-03 5.225679e-03 1.253030e-03 1.223561e-03
#> 157 3.787830e-03 3.787830e-03 2.262524e-03 5.347465e-04 5.189549e-04
#> 160 1.608067e-03 1.608067e-03 9.625337e-04 2.245231e-04 2.164401e-04
#> 163 6.716088e-04 6.716088e-04 4.027926e-04 9.283782e-05 8.886018e-05
#> 166 2.762230e-04 2.762230e-04 1.659723e-04 3.783929e-05 3.594778e-05
#> 169 1.119815e-04 1.119815e-04 6.740637e-05 1.521591e-05 1.434313e-05
#> 172 4.478861e-05 4.478861e-05 2.700699e-05 6.041611e-06 5.649531e-06
#> 175 1.768866e-05 1.768866e-05 1.068411e-05 2.370560e-06 2.198594e-06
#> 178 6.903674e-06 6.903674e-06 4.176795e-06 9.198516e-07 8.460370e-07
#> 181 2.664751e-06 2.664751e-06 1.614829e-06 3.532323e-07 3.221606e-07
#> 184 1.017979e-06 1.017979e-06 6.178806e-07 1.343289e-07 1.214793e-07
#> 187 3.851454e-07 3.851454e-07 2.341408e-07 5.061987e-08 4.539117e-08
#> 190 1.444093e-07 1.444093e-07 8.792762e-08 1.891361e-08 1.681716e-08
#> 193 5.369232e-08 5.369232e-08 3.274254e-08 7.010824e-09 6.181557e-09
#> 196 1.980800e-08 1.980800e-08 1.209762e-08 2.579670e-09 2.255667e-09
#> 199 7.254204e-09 7.254204e-09 4.437159e-09 9.426020e-10 8.174552e-10
#> 202 2.638856e-09 2.638856e-09 1.616484e-09 3.422362e-10 2.944044e-10
#> 205 9.537247e-10 9.537247e-10 5.851191e-10 1.234800e-10 1.053691e-10
#> 208 3.427727e-10 3.427727e-10 2.105936e-10 4.432246e-11 3.752735e-11
#> 211 1.226131e-10 1.226131e-10 7.541982e-11 1.584123e-11 1.331449e-11
#> 214 4.360007e-11 4.360007e-11 2.686938e-11 5.630528e-12 4.693290e-12
#> 217 1.544181e-11 1.544181e-11 9.522658e-12 1.993017e-12 1.649699e-12
#> 220 5.446846e-12 5.446846e-12 3.366011e-12 7.012415e-13 5.774181e-13
#> 223 1.905003e-12 1.905003e-12 1.176712e-12 2.432772e-13 1.987035e-13
#> 226 6.633748e-13 6.633748e-13 4.103334e-13 8.616317e-14 6.926365e-14
#> 229 2.109144e-13 2.109144e-13 1.322906e-13 2.671430e-14 2.082236e-14
#> 232 9.600707e-14 9.600707e-14 5.879368e-14 1.159688e-14 1.089870e-14
#> 235 2.913601e-14 2.913601e-14 1.761365e-14 3.532123e-15 2.457743e-15
#> 238 8.090766e-15 8.090766e-15 5.467091e-15 1.150454e-15 7.154529e-16
#> year
#> length 6 7 8 9 10
#> 1 2.553289e-57 3.282322e-57 2.527809e-57 5.257656e-57 3.703176e-57
#> 4 3.088181e-17 3.969939e-17 3.057363e-17 6.359089e-17 4.478959e-17
#> 7 2.259580e-03 2.904751e-03 2.237031e-03 4.652859e-03 3.277194e-03
#> 10 9.432660e+02 1.212594e+03 9.338531e+02 1.942345e+03 1.368071e+03
#> 13 1.128936e+05 1.451277e+05 1.117670e+05 2.324671e+05 1.637358e+05
#> 16 2.591607e+05 3.331273e+05 2.565707e+05 5.335863e+05 3.758610e+05
#> 19 5.327823e+04 6.459501e+04 5.226923e+04 1.009043e+05 7.549564e+04
#> 22 8.206817e+04 6.186835e+04 7.590626e+04 7.035706e+04 9.911944e+04
#> 25 1.696631e+05 1.272614e+05 1.570258e+05 1.429625e+05 2.041673e+05
#> 28 1.104544e+05 9.105245e+04 1.052956e+05 9.979937e+04 1.315148e+05
#> 31 5.745650e+04 7.452656e+04 6.528617e+04 7.442716e+04 6.420809e+04
#> 34 5.323570e+04 8.791634e+04 7.070352e+04 8.641209e+04 6.014293e+04
#> 37 3.869097e+04 6.980013e+04 6.436153e+04 7.455443e+04 5.598116e+04
#> 40 1.985681e+04 4.323468e+04 5.493118e+04 5.768257e+04 5.148290e+04
#> 43 1.011600e+04 2.782568e+04 4.759528e+04 4.953020e+04 4.852108e+04
#> 46 6.211162e+03 1.785191e+04 3.637660e+04 4.283039e+04 4.162754e+04
#> 49 4.218674e+03 1.049251e+04 2.440735e+04 3.523896e+04 3.332346e+04
#> 52 2.966456e+03 6.041615e+03 1.532385e+04 2.721315e+04 2.614974e+04
#> 55 2.140015e+03 3.702957e+03 9.240416e+03 1.935056e+04 2.005642e+04
#> 58 1.630587e+03 2.440287e+03 5.414295e+03 1.268729e+04 1.480390e+04
#> 61 1.364684e+03 1.703329e+03 3.194533e+03 7.824516e+03 1.043606e+04
#> 64 1.248444e+03 1.271580e+03 1.986138e+03 4.656084e+03 7.009867e+03
#> 67 1.190128e+03 1.035142e+03 1.339744e+03 2.753613e+03 4.503284e+03
#> 70 1.126590e+03 9.109330e+02 9.900122e+02 1.675628e+03 2.800576e+03
#> 73 1.030221e+03 8.325636e+02 7.954695e+02 1.084580e+03 1.721116e+03
#> 76 9.017033e+02 7.574112e+02 6.766146e+02 7.608544e+02 1.073919e+03
#> 79 7.565214e+02 6.680569e+02 5.869283e+02 5.751924e+02 6.992990e+02
#> 82 6.123729e+02 5.655761e+02 5.028990e+02 4.560800e+02 4.833510e+02
#> 85 4.818698e+02 4.596148e+02 4.176953e+02 3.668185e+02 3.536781e+02
#> 88 3.708639e+02 3.602698e+02 3.339358e+02 2.914161e+02 2.685017e+02
#> 91 2.801076e+02 2.740203e+02 2.570624e+02 2.251800e+02 2.060786e+02
#> 94 2.077152e+02 2.032065e+02 1.912561e+02 1.681812e+02 1.565105e+02
#> 97 1.509862e+02 1.472939e+02 1.381296e+02 1.213292e+02 1.160228e+02
#> 100 1.072936e+02 1.043800e+02 9.715889e+01 8.470872e+01 8.336760e+01
#> 103 7.432874e+01 7.221536e+01 6.666194e+01 5.737858e+01 5.791050e+01
#> 106 5.007675e+01 4.867543e+01 4.461159e+01 3.778199e+01 3.887748e+01
#> 109 3.275099e+01 3.189815e+01 2.908817e+01 2.420942e+01 2.524326e+01
#> 112 2.076861e+01 2.029129e+01 1.845218e+01 1.509847e+01 1.586918e+01
#> 115 1.276188e+01 1.251774e+01 1.137279e+01 9.161891e+00 9.668572e+00
#> 118 7.597682e+00 7.486157e+00 6.804332e+00 5.406582e+00 5.714055e+00
#> 121 4.383378e+00 4.340789e+00 3.950369e+00 3.101508e+00 3.278124e+00
#> 124 2.452067e+00 2.441631e+00 2.225705e+00 1.729325e+00 1.826869e+00
#> 127 1.331032e+00 1.333324e+00 1.217563e+00 9.373707e-01 9.896916e-01
#> 130 7.017659e-01 7.075523e-01 6.472221e-01 4.941811e-01 5.216004e-01
#> 133 3.597613e-01 3.652779e-01 3.346465e-01 2.535822e-01 2.676654e-01
#> 136 1.795410e-01 1.836692e-01 1.684925e-01 1.267680e-01 1.338659e-01
#> 139 8.733164e-02 9.005742e-02 8.271002e-02 6.180404e-02 6.531439e-02
#> 142 4.145543e-02 4.311219e-02 3.963290e-02 2.941937e-02 3.112227e-02
#> 145 1.922816e-02 2.017451e-02 1.856146e-02 1.368896e-02 1.449886e-02
#> 148 8.725282e-03 9.239416e-03 8.506651e-03 6.233683e-03 6.611210e-03
#> 151 3.878242e-03 4.146000e-03 3.819565e-03 2.781427e-03 2.953902e-03
#> 154 1.690507e-03 1.824932e-03 1.682211e-03 1.217420e-03 1.294665e-03
#> 157 7.234711e-04 7.888045e-04 7.275136e-04 5.232960e-04 5.572273e-04
#> 160 3.043150e-04 3.351596e-04 3.092853e-04 2.211341e-04 2.357626e-04
#> 163 1.259444e-04 1.401294e-04 1.293829e-04 9.196270e-05 9.815737e-05
#> 166 5.133601e-05 5.770565e-05 5.331088e-05 3.767395e-05 4.025284e-05
#> 169 2.062842e-05 2.342698e-05 2.165590e-05 1.521768e-05 1.627413e-05
#> 172 8.179047e-06 9.384294e-06 8.680380e-06 6.066218e-06 6.492462e-06
#> 175 3.202611e-06 3.712219e-06 3.436087e-06 2.388433e-06 2.557973e-06
#> 178 1.239431e-06 1.451289e-06 1.344295e-06 9.295611e-07 9.961005e-07
#> 181 4.744497e-07 5.611601e-07 5.201799e-07 3.578803e-07 3.836707e-07
#> 184 1.797720e-07 2.147528e-07 1.992267e-07 1.363954e-07 1.462758e-07
#> 187 6.747083e-08 8.139581e-08 7.557322e-08 5.149382e-08 5.523809e-08
#> 190 2.509878e-08 3.057394e-08 2.841110e-08 1.926983e-08 2.067449e-08
#> 193 9.259627e-09 1.138794e-08 1.059168e-08 7.151898e-09 7.673957e-09
#> 196 3.390025e-09 4.208628e-09 3.917921e-09 2.634222e-09 2.826545e-09
#> 199 1.232226e-09 1.544019e-09 1.438705e-09 9.632962e-10 1.033585e-09
#> 202 4.449505e-10 5.626302e-10 5.247510e-10 3.499511e-10 3.754528e-10
#> 205 1.596403e-10 2.036899e-10 1.901660e-10 1.263240e-10 1.354988e-10
#> 208 5.696851e-11 7.332727e-11 6.852649e-11 4.535234e-11 4.863765e-11
#> 211 2.024227e-11 2.627514e-11 2.457365e-11 1.620640e-11 1.738088e-11
#> 214 7.146858e-12 9.358157e-12 8.762834e-12 5.759848e-12 6.171419e-12
#> 217 2.516881e-12 3.321028e-12 3.112688e-12 2.037738e-12 2.183578e-12
#> 220 8.811707e-13 1.171711e-12 1.098985e-12 7.180218e-13 7.693040e-13
#> 223 3.057149e-13 4.097684e-13 3.850152e-13 2.501885e-13 2.687313e-13
#> 226 1.054786e-13 1.429485e-13 1.352411e-13 8.765594e-14 9.373571e-14
#> 229 3.182385e-14 4.592212e-14 4.337179e-14 2.746110e-14 2.945248e-14
#> 232 1.637000e-14 2.009882e-14 1.842750e-14 1.240075e-14 1.360895e-14
#> 235 4.879145e-15 6.495365e-15 5.917197e-15 3.763191e-15 4.030769e-15
#> 238 8.136514e-16 1.833224e-15 1.872842e-15 1.076281e-15 1.111712e-15
#> year
#> length 11 12 13 14 15
#> 1 3.647396e-57 2.561955e-57 1.935273e-57 4.521712e-57 4.420821e-57
#> 4 4.411494e-17 3.098662e-17 2.340696e-17 5.468972e-17 5.346945e-17
#> 7 3.227830e-03 2.267249e-03 1.712656e-03 4.001573e-03 3.912287e-03
#> 10 1.347464e+03 9.464676e+02 7.149515e+02 1.670464e+03 1.633192e+03
#> 13 1.612695e+05 1.132768e+05 8.556805e+04 1.999273e+05 1.954664e+05
#> 16 3.701526e+05 2.600083e+05 1.964107e+05 4.588746e+05 4.486801e+05
#> 19 6.842245e+04 4.940817e+04 3.773443e+04 8.391717e+04 8.763255e+04
#> 22 3.112498e+04 3.695781e+04 3.253522e+04 2.842394e+04 9.038434e+04
#> 25 6.182284e+04 7.482936e+04 6.629152e+04 5.519826e+04 1.847584e+05
#> 28 4.213662e+04 4.692234e+04 4.266322e+04 3.692691e+04 1.148001e+05
#> 31 2.824873e+04 1.853869e+04 2.058987e+04 2.255216e+04 4.175243e+04
#> 34 3.104594e+04 1.355647e+04 1.817212e+04 2.348722e+04 2.759015e+04
#> 37 2.572606e+04 1.024454e+04 1.361344e+04 1.878732e+04 2.118159e+04
#> 40 1.833131e+04 6.589227e+03 7.843000e+03 1.231880e+04 1.472155e+04
#> 43 1.448023e+04 4.686616e+03 4.690527e+03 8.604863e+03 1.104421e+04
#> 46 1.187022e+04 3.617764e+03 3.012952e+03 6.029574e+03 8.195123e+03
#> 49 9.610947e+03 2.839667e+03 1.926660e+03 3.955804e+03 5.733752e+03
#> 52 7.769942e+03 2.274751e+03 1.286565e+03 2.536738e+03 3.955752e+03
#> 55 6.201549e+03 1.818419e+03 9.304742e+02 1.644766e+03 2.726381e+03
#> 58 4.820020e+03 1.403771e+03 7.016761e+02 1.086621e+03 1.850614e+03
#> 61 3.623245e+03 1.027455e+03 5.247631e+02 7.352959e+02 1.230008e+03
#> 64 2.621102e+03 7.102387e+02 3.787787e+02 5.070580e+02 8.050440e+02
#> 67 1.821620e+03 4.671971e+02 2.623135e+02 3.502855e+02 5.245088e+02
#> 70 1.221045e+03 2.973581e+02 1.756814e+02 2.385768e+02 3.433403e+02
#> 73 7.972474e+02 1.875679e+02 1.156393e+02 1.591648e+02 2.262202e+02
#> 76 5.147946e+02 1.207587e+02 7.628903e+01 1.042826e+02 1.492028e+02
#> 79 3.352134e+02 8.181320e+01 5.144115e+01 6.772032e+01 9.778774e+01
#> 82 2.248580e+02 5.969195e+01 3.611038e+01 4.423257e+01 6.347879e+01
#> 85 1.580699e+02 4.715616e+01 2.681088e+01 2.964517e+01 4.097846e+01
#> 88 1.170110e+02 3.968528e+01 2.121606e+01 2.084619e+01 2.662678e+01
#> 91 9.019584e+01 3.452792e+01 1.774780e+01 1.561306e+01 1.773132e+01
#> 94 7.086020e+01 3.012012e+01 1.533050e+01 1.241095e+01 1.231036e+01
#> 97 5.549515e+01 2.574157e+01 1.328845e+01 1.023682e+01 8.966683e+00
#> 100 4.260326e+01 2.124697e+01 1.128630e+01 8.504177e+00 6.783730e+00
#> 103 3.172760e+01 1.681194e+01 9.248021e+00 6.938340e+00 5.217820e+00
#> 106 2.279639e+01 1.271427e+01 7.250518e+00 5.468712e+00 3.988322e+00
#> 109 1.576664e+01 9.185873e+00 5.420506e+00 4.127506e+00 2.976597e+00
#> 112 1.049200e+01 6.346018e+00 3.862366e+00 2.972100e+00 2.145292e+00
#> 115 6.721254e+00 4.198796e+00 2.626001e+00 2.040514e+00 1.484562e+00
#> 118 4.149132e+00 2.665707e+00 1.706873e+00 1.337139e+00 9.842316e-01
#> 121 2.471321e+00 1.627161e+00 1.063085e+00 8.379412e-01 6.251018e-01
#> 124 1.422226e+00 9.568589e-01 6.359776e-01 5.033468e-01 3.807584e-01
#> 127 7.919625e-01 5.431452e-01 3.663242e-01 2.905484e-01 2.228243e-01
#> 130 4.273451e-01 2.981670e-01 2.036329e-01 1.615659e-01 1.255430e-01
#> 133 2.237878e-01 1.585894e-01 1.094839e-01 8.675863e-02 6.824812e-02
#> 136 1.138993e-01 8.186988e-02 5.705334e-02 4.509318e-02 3.587655e-02
#> 139 5.642471e-02 4.109061e-02 2.887325e-02 2.273484e-02 1.827598e-02
#> 142 2.724625e-02 2.008313e-02 1.421662e-02 1.114153e-02 9.040452e-03
#> 145 1.284232e-02 9.573304e-03 6.822377e-03 5.317428e-03 4.350927e-03
#> 148 5.916595e-03 4.457320e-03 3.196092e-03 2.475926e-03 2.041033e-03
#> 151 2.667862e-03 2.029911e-03 1.463890e-03 1.126616e-03 9.348461e-04
#> 154 1.178875e-03 9.054231e-04 6.564828e-04 5.017531e-04 4.187453e-04
#> 157 5.111053e-04 3.960479e-04 2.886327e-04 2.190318e-04 1.837096e-04
#> 160 2.176676e-04 1.700934e-04 1.245722e-04 9.384515e-05 7.904874e-05
#> 163 9.115816e-05 7.180673e-05 5.283992e-05 3.951377e-05 3.340475e-05
#> 166 3.758109e-05 2.982966e-05 2.205210e-05 1.636912e-05 1.388043e-05
#> 169 1.526671e-05 1.220616e-05 9.064345e-06 6.679074e-06 5.677730e-06
#> 172 6.116894e-06 4.924643e-06 3.673216e-06 2.686977e-06 2.288691e-06
#> 175 2.419419e-06 1.960782e-06 1.468857e-06 1.066798e-06 9.100665e-07
#> 178 9.454739e-07 7.711074e-07 5.801104e-07 4.183672e-07 3.573036e-07
#> 181 3.653338e-07 2.997657e-07 2.264611e-07 1.622006e-07 1.386304e-07
#> 184 1.396871e-07 1.152820e-07 8.745015e-08 6.221650e-08 5.319745e-08
#> 187 5.288769e-08 4.388993e-08 3.342909e-08 2.362843e-08 2.020535e-08
#> 190 1.984145e-08 1.655338e-08 1.265844e-08 8.890746e-09 7.601445e-09
#> 193 7.380462e-09 6.188763e-09 4.751215e-09 3.316613e-09 2.834464e-09
#> 196 2.723615e-09 2.294976e-09 1.768725e-09 1.227351e-09 1.048254e-09
#> 199 9.976880e-10 8.446118e-10 6.534223e-10 4.508218e-10 3.847127e-10
#> 202 3.629693e-10 3.086522e-10 2.396818e-10 1.644512e-10 1.401927e-10
#> 205 1.311936e-10 1.120504e-10 8.733634e-11 5.960324e-11 5.075130e-11
#> 208 4.714867e-11 4.043368e-11 3.163046e-11 2.147539e-11 1.826107e-11
#> 211 1.686255e-11 1.451338e-11 1.139164e-11 7.694827e-12 6.534009e-12
#> 214 5.994533e-12 5.181586e-12 4.082602e-12 2.744518e-12 2.326491e-12
#> 217 2.122912e-12 1.841082e-12 1.453991e-12 9.725920e-13 8.230533e-13
#> 220 7.488136e-13 6.514886e-13 5.167193e-13 3.447005e-13 2.914672e-13
#> 223 2.624208e-13 2.293140e-13 1.823391e-13 1.212101e-13 1.025811e-13
#> 226 9.094367e-14 7.980099e-14 6.407823e-14 4.231592e-14 3.529925e-14
#> 229 2.895921e-14 2.594363e-14 2.123955e-14 1.366842e-14 1.138305e-14
#> 232 1.339645e-14 1.112501e-14 8.495025e-15 6.073076e-15 5.328472e-15
#> 235 4.141615e-15 3.807476e-15 2.823932e-15 1.757796e-15 1.667531e-15
#> 238 1.039933e-15 1.029096e-15 1.013809e-15 5.828223e-16 3.885030e-16
#> year
#> length 16 17 18 19 20
#> 1 4.506362e-57 2.553020e-57 6.636549e-57 2.090640e-57 2.443388e-57
#> 4 5.450406e-17 3.087855e-17 8.026849e-17 2.528610e-17 2.955257e-17
#> 7 3.987988e-03 2.259342e-03 5.873137e-03 1.850150e-03 2.162321e-03
#> 10 1.664793e+03 9.431667e+02 2.451752e+03 7.723487e+02 9.026653e+02
#> 13 1.992487e+05 1.128817e+05 2.934348e+05 9.243757e+04 1.080343e+05
#> 16 4.573627e+05 2.591556e+05 6.735186e+05 2.122696e+05 2.479873e+05
#> 19 8.943217e+04 5.608018e+04 1.263313e+05 5.224096e+04 4.865057e+04
#> 22 9.331219e+04 1.135235e+05 7.721012e+04 1.637304e+05 5.242238e+04
#> 25 1.915620e+05 2.361180e+05 1.569249e+05 3.411208e+05 1.097691e+05
#> 28 1.277003e+05 1.587762e+05 1.198724e+05 2.177839e+05 9.659433e+04
#> 31 7.630026e+04 9.961141e+04 1.213362e+05 9.991907e+04 1.331851e+05
#> 34 7.726878e+04 1.064267e+05 1.560350e+05 9.041939e+04 1.788927e+05
#> 37 5.729144e+04 8.947472e+04 1.361810e+05 8.913864e+04 1.407507e+05
#> 40 3.044781e+04 6.519586e+04 1.050000e+05 8.996845e+04 8.446553e+04
#> 43 1.657461e+04 4.912849e+04 8.724812e+04 8.983189e+04 5.910706e+04
#> 46 1.085421e+04 3.375353e+04 7.007535e+04 7.953049e+04 5.226906e+04
#> 49 7.764841e+03 2.033798e+04 5.195632e+04 6.502334e+04 4.929438e+04
#> 52 5.682351e+03 1.199932e+04 3.593329e+04 5.118682e+04 4.467777e+04
#> 55 4.121624e+03 7.663179e+03 2.308230e+04 3.831526e+04 3.769072e+04
#> 58 2.919264e+03 5.291066e+03 1.401515e+04 2.678316e+04 2.964165e+04
#> 61 2.014445e+03 3.753379e+03 8.455933e+03 1.744142e+04 2.183272e+04
#> 64 1.351875e+03 2.630469e+03 5.290986e+03 1.071111e+04 1.506997e+04
#> 67 8.810530e+02 1.787789e+03 3.441444e+03 6.362695e+03 9.778205e+03
#> 70 5.598335e+02 1.171816e+03 2.268166e+03 3.769333e+03 6.026140e+03
#> 73 3.501680e+02 7.421175e+02 1.477253e+03 2.272141e+03 3.588767e+03
#> 76 2.179974e+02 4.570272e+02 9.380292e+02 1.393745e+03 2.106340e+03
#> 79 1.361002e+02 2.761039e+02 5.784665e+02 8.579078e+02 1.236866e+03
#> 82 8.539980e+01 1.650511e+02 3.470704e+02 5.217470e+02 7.302418e+02
#> 85 5.382348e+01 9.825060e+01 2.035466e+02 3.103841e+02 4.314214e+02
#> 88 3.410789e+01 5.843235e+01 1.173520e+02 1.799380e+02 2.527406e+02
#> 91 2.185954e+01 3.476574e+01 6.686779e+01 1.017125e+02 1.456170e+02
#> 94 1.431414e+01 2.072289e+01 3.781153e+01 5.621943e+01 8.209842e+01
#> 97 9.673438e+00 1.241297e+01 2.127407e+01 3.049486e+01 4.521096e+01
#> 100 6.768357e+00 7.506272e+00 1.192667e+01 1.628878e+01 2.432743e+01
#> 103 4.867463e+00 4.602343e+00 6.667297e+00 8.591929e+00 1.281059e+01
#> 106 3.543138e+00 2.865470e+00 3.717881e+00 4.484636e+00 6.615142e+00
#> 109 2.565904e+00 1.806302e+00 2.067974e+00 2.319560e+00 3.356523e+00
#> 112 1.822183e+00 1.144757e+00 1.146667e+00 1.189897e+00 1.676522e+00
#> 115 1.256448e+00 7.228287e-01 6.329718e-01 6.056776e-01 8.255612e-01
#> 118 8.363722e-01 4.507422e-01 3.471178e-01 3.059427e-01 4.012483e-01
#> 121 5.360217e-01 2.756059e-01 1.886173e-01 1.533130e-01 1.926462e-01
#> 124 3.305143e-01 1.644131e-01 1.012724e-01 7.616841e-02 9.141524e-02
#> 127 1.961805e-01 9.539854e-02 5.358859e-02 3.748139e-02 4.288423e-02
#> 130 1.122335e-01 5.375795e-02 2.788487e-02 1.824769e-02 1.988890e-02
#> 133 6.198728e-02 2.940747e-02 1.424473e-02 8.778791e-03 9.117968e-03
#> 136 3.311234e-02 1.562172e-02 7.135769e-03 4.168797e-03 4.130979e-03
#> 139 1.713982e-02 8.065030e-03 3.503139e-03 1.952199e-03 1.849049e-03
#> 142 8.613310e-03 4.051033e-03 1.685061e-03 9.008668e-04 8.174489e-04
#> 145 4.209964e-03 1.982237e-03 7.942766e-04 4.094620e-04 3.568513e-04
#> 148 2.004913e-03 9.461445e-04 3.670213e-04 1.832652e-04 1.538017e-04
#> 151 9.318558e-04 4.411267e-04 1.663485e-04 8.076995e-05 6.544195e-05
#> 154 4.233753e-04 2.011686e-04 7.400378e-05 3.505839e-05 2.749103e-05
#> 157 1.883100e-04 8.985047e-05 3.233932e-05 1.499127e-05 1.140318e-05
#> 160 8.211085e-05 3.935456e-05 1.389330e-05 6.317857e-06 4.671535e-06
#> 163 3.514615e-05 1.692434e-05 5.872771e-06 2.625442e-06 1.890705e-06
#> 166 1.478562e-05 7.154382e-06 2.444623e-06 1.076410e-06 7.562701e-07
#> 169 6.120501e-06 2.976130e-06 1.002942e-06 4.356646e-07 2.990878e-07
#> 172 2.495678e-06 1.219553e-06 4.058748e-07 1.741780e-07 1.169998e-07
#> 175 1.003422e-06 4.927679e-07 1.621462e-07 6.882872e-08 4.529405e-08
#> 178 3.981830e-07 1.965066e-07 6.399627e-08 2.690003e-08 1.736135e-08
#> 181 1.560888e-07 7.740721e-08 2.497218e-08 1.040412e-08 6.592087e-09
#> 184 6.049382e-08 3.014458e-08 9.640932e-09 3.984617e-09 2.480685e-09
#> 187 2.319739e-08 1.161434e-08 3.685012e-09 1.512024e-09 9.257098e-10
#> 190 8.807919e-09 4.430478e-09 1.395381e-09 5.687950e-10 3.426910e-10
#> 193 3.313681e-09 1.674447e-09 5.237672e-10 2.122234e-10 1.259036e-10
#> 196 1.236041e-09 6.273925e-10 1.950132e-10 7.859631e-11 4.595323e-11
#> 199 4.574030e-10 2.331883e-10 7.205109e-11 2.889253e-11 1.665084e-11
#> 202 1.680188e-10 8.602574e-11 2.643426e-11 1.055341e-11 6.000177e-12
#> 205 6.129618e-11 3.151479e-11 9.632176e-12 3.827912e-12 2.145458e-12
#> 208 2.222050e-11 1.147147e-11 3.489296e-12 1.381718e-12 7.648044e-13
#> 211 8.008449e-12 4.151447e-12 1.257745e-12 4.970243e-13 2.728166e-13
#> 214 2.870930e-12 1.493766e-12 4.503985e-13 1.771253e-13 9.559789e-14
#> 217 1.023092e-12 5.346610e-13 1.607503e-13 6.317198e-14 3.395610e-14
#> 220 3.638555e-13 1.906662e-13 5.697209e-14 2.228253e-14 1.173286e-14
#> 223 1.291359e-13 6.775053e-14 2.011989e-14 7.813347e-15 4.038454e-15
#> 226 4.505797e-14 2.375102e-14 7.072679e-15 2.746161e-15 1.394849e-15
#> 229 1.499296e-14 8.185146e-15 2.340684e-15 9.038564e-16 4.268665e-16
#> 232 6.057699e-15 3.119113e-15 9.227150e-16 3.778899e-16 2.159950e-16
#> 235 2.170124e-15 1.043831e-15 3.251250e-16 1.091506e-16 6.209565e-17
#> 238 6.564305e-16 4.254817e-16 1.096741e-16 4.395219e-17 1.238288e-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: 0x5604dad7b758>
#>
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 8
#> 296985.4 416569.6 578202.2 1901091.0 1170388.9 1045394.8 466126.2 354194.2
#> 9 10 11 12 13 14 15 16
#> 331871.1 538564.7 72956.3 68913.9 268299.1 195759.8 260701.1 287595.7
#> 17 18 19 20
#> 134480.0 253986.2 174891.7 145376.8
#>
#> $N0
#> [1] 2.969854e+05 2.173747e+05 1.498641e+05 9.192498e+04 5.183892e+04
#> [6] 3.283017e+04 2.434090e+04 1.568108e+04 8.056193e+03 4.314601e+03
#> [11] 2.372985e+03 1.301668e+03 6.430916e+02 3.245138e+02 1.021114e+02
#> [16] 3.482140e+01 8.285555e+00 2.658302e+00 1.059072e+00 4.855194e-01
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.3120604 0.5706179 0.8773084 0.7071779 0.9569398 1.8812311 1.4825141
#> 2 0.3718936 0.5171665 0.7559095 0.5755471 0.9973017 1.9196778 1.5553289
#> 3 0.4887563 0.7611457 0.8531324 0.6876609 1.5148730 2.6035866 1.6156775
#> 4 0.5728315 0.6942719 0.7232460 0.4383125 0.8432202 2.2673434 1.6513113
#> 5 0.4567935 0.6437379 0.8177358 0.4437572 0.7801758 1.2869421 0.9934048
#> 6 0.2991899 0.6096054 0.7458229 0.5313470 0.6921688 0.9342553 0.7514667
#> 7 0.4397032 0.8633246 1.1104789 0.5382113 0.6090859 0.7934381 0.7908656
#> 8 0.6660136 0.9956943 1.2591700 0.6125531 0.6877181 0.8146325 0.6837497
#> 9 0.6244363 0.9111643 1.2903946 0.5357364 0.6606091 0.7797465 0.4789254
#> 10 0.5978561 0.6572006 0.6729951 0.3444157 0.4806539 0.6268378 0.4606895
#> 11 0.6005022 0.8788973 0.7797724 0.3944641 0.6485558 0.7564692 0.4760506
#> 12 0.7051146 0.9848102 0.8615845 0.5749291 0.7227864 0.6659540 0.4343796
#> 13 0.6839591 1.4802444 1.5497203 0.5729795 0.9492685 0.7607552 0.5679840
#> 14 1.1562638 1.8004850 1.6675253 0.6874276 1.0410302 0.6958748 0.5057824
#> 15 1.0758322 2.2669058 2.0548656 0.7696453 0.4746186 0.5424562 0.5497876
#> 16 1.4357185 1.8404311 1.2435566 0.3542346 0.4507958 0.4563545 0.5102491
#> 17 1.1368260 1.2458388 0.9938908 0.3456407 0.7003643 0.7084102 0.7279826
#> 18 0.9202949 1.1268344 1.1125463 0.4861803 0.7248988 0.5591681 0.6060159
#> 19 0.7799288 1.0060588 0.6001071 0.2606239 0.5078210 0.3499239 0.4309329
#> 20 0.7102926 1.1035185 0.5337133 0.2174142 0.3742192 0.3526006 0.4242584
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.3767938 0.4559625 0.5528022 0.4226613 0.4977012 0.7718206 0.2568945
#> 2 0.3280630 0.5094886 0.5433914 0.3758045 0.4213044 0.5753381 0.2662927
#> 3 0.3457690 0.4895850 0.5250506 0.4546743 0.3167988 0.4210620 0.1961543
#> 4 0.2779066 0.4530376 0.5732466 0.4451425 0.3934543 0.4800490 0.2366195
#> 5 0.2260557 0.3409978 0.4556692 0.4397590 0.5346063 0.5801565 0.3055421
#> 6 0.3317728 0.5754002 0.7644285 0.7056327 0.6560277 0.5786308 0.2208685
#> 7 0.3103904 0.6671985 0.6939748 0.5024808 0.4757844 0.5325911 0.1987929
#> 8 0.3363313 0.7520534 1.0345012 0.5325194 0.4325591 0.4234413 0.1622151
#> 9 0.2916482 0.5056086 1.0979100 0.5745438 0.6023525 0.4029511 0.2054948
#> 10 0.3951219 0.4909430 0.8930382 0.4681724 0.5184771 0.6377546 0.2685277
#> 11 0.3067587 0.4418135 0.7507207 0.4720881 0.4359381 0.6343215 0.2538071
#> 12 0.4069623 0.5108412 0.8173581 0.3819656 0.3278825 0.5591413 0.2524611
#> 13 0.4629337 0.7413398 0.9722816 0.4610364 0.3796598 0.7411306 0.3581663
#> 14 0.3394553 0.7330178 0.8687008 0.5497016 0.3575044 0.6890463 0.3816860
#> 15 0.5202507 0.8522246 0.8885618 0.4630601 0.2836957 0.5084310 0.4976470
#> 16 0.5252981 0.7195178 0.7196795 0.5103352 0.2631287 0.3196176 0.3924747
#> 17 1.1036735 0.9470708 0.7174061 0.5484322 0.2511349 0.4020154 0.4125664
#> 18 0.9584969 0.7971068 0.5367825 0.7330403 0.2766290 0.3783879 0.4437830
#> 19 0.8006885 0.8834583 0.4736731 0.7685244 0.3526447 0.5124923 0.4743588
#> 20 0.7358242 0.7754573 0.3975683 0.7742503 0.3479171 0.4485467 0.4084813
#> year
#> age 15 16 17 18 19 20
#> 1 0.3372005 0.7693024 0.5710192 0.3693822 0.3807159 0.7873712
#> 2 0.2625058 0.5824039 0.6749843 0.3611945 0.3284312 0.9214371
#> 3 0.2887144 0.5449531 0.6663720 0.4684302 0.4880930 0.8215055
#> 4 0.2547329 0.3119694 0.5803854 0.4149570 0.4924442 0.7692410
#> 5 0.4279876 0.3415574 0.4180843 0.3676324 0.3927088 0.5229191
#> 6 0.3504695 0.4310060 0.5257423 0.4480839 0.3440314 0.5322739
#> 7 0.3496668 0.3183365 0.3790734 0.3893821 0.3729296 0.7171409
#> 8 0.2988739 0.3015486 0.6911282 0.6817719 0.4159929 0.5374966
#> 9 0.3890655 0.3177220 0.6288135 0.5570751 0.8395386 0.7553399
#> 10 0.5313303 0.3735281 0.4859368 0.4368654 0.8402800 0.5995272
#> 11 0.4462586 0.3225000 0.3453028 0.4304177 1.0084406 0.4566693
#> 12 0.3462063 0.2851416 0.5588070 0.4546520 0.8205047 0.6022323
#> 13 0.3680195 0.3169788 0.6266054 0.3033376 0.6980683 0.6914694
#> 14 0.4508595 0.3907679 0.9678617 0.3818827 0.8253980 0.8132547
#> 15 0.4829656 0.4112003 1.2087820 0.4796195 0.9701202 0.8415362
#> 16 0.5593644 0.4478494 0.9388753 0.4922474 1.0986653 0.9013598
#> 17 0.4595363 0.5594655 0.8846872 0.4964170 0.9648652 0.8335860
#> 18 0.3204996 0.3832144 0.7235811 0.4526263 0.8423300 0.6332527
#> 19 0.3757636 0.3017564 0.6313695 0.6015496 0.8556215 0.5291351
#> 20 0.3619492 0.1785441 0.3889787 0.5081104 0.6364597 0.5548644
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 2.969854e+05 4.165696e+05 5.782022e+05 1.901091e+06 1.170389e+06
#> 2 2.173747e+05 2.173747e+05 2.354352e+05 2.404748e+05 9.373018e+05
#> 3 1.498641e+05 1.498641e+05 1.296004e+05 1.105564e+05 1.352423e+05
#> 4 9.192498e+04 9.192498e+04 7.000617e+04 5.521992e+04 5.558232e+04
#> 5 5.183892e+04 5.183892e+04 4.591082e+04 3.396523e+04 3.562371e+04
#> 6 3.283017e+04 3.283017e+04 2.723229e+04 2.026642e+04 2.179281e+04
#> 7 2.434090e+04 2.434090e+04 1.784534e+04 1.291747e+04 1.191286e+04
#> 8 1.568108e+04 1.568108e+04 1.026596e+04 5.878276e+03 7.541108e+03
#> 9 8.056193e+03 8.056193e+03 5.793638e+03 2.914398e+03 3.185822e+03
#> 10 4.314601e+03 4.314601e+03 3.239039e+03 1.594190e+03 1.705617e+03
#> 11 2.372985e+03 2.372985e+03 2.236259e+03 1.652488e+03 1.129698e+03
#> 12 1.301668e+03 1.301668e+03 9.853596e+02 1.025348e+03 1.113845e+03
#> 13 6.430916e+02 6.430916e+02 4.861862e+02 4.163067e+02 5.770091e+02
#> 14 3.245138e+02 3.245138e+02 1.463561e+02 1.032209e+02 2.347316e+02
#> 15 1.021114e+02 1.021114e+02 5.361576e+01 2.761937e+01 5.190649e+01
#> 16 3.482140e+01 3.482140e+01 1.058204e+01 6.868718e+00 1.279267e+01
#> 17 8.285555e+00 8.285555e+00 5.527861e+00 3.051404e+00 4.819850e+00
#> 18 2.658302e+00 2.658302e+00 2.383750e+00 2.046048e+00 2.159683e+00
#> 19 1.059072e+00 1.059072e+00 8.614426e-01 7.835883e-01 1.258260e+00
#> 20 4.855194e-01 4.855194e-01 3.872572e-01 4.727191e-01 6.038102e-01
#> year
#> age 6 7 8 9 10
#> 1 1.045395e+06 4.661262e+05 3.541942e+05 3.318711e+05 5.385647e+05
#> 2 4.495071e+05 1.593206e+05 1.058415e+05 2.429976e+05 2.103524e+05
#> 3 3.457457e+05 6.592210e+04 3.363576e+04 7.623947e+04 1.459936e+05
#> 4 2.973115e+04 2.558783e+04 1.310241e+04 2.380322e+04 4.672570e+04
#> 5 2.391833e+04 3.079761e+03 4.907701e+03 9.923340e+03 1.513157e+04
#> 6 1.632725e+04 6.604181e+03 1.140478e+03 3.914744e+03 7.056095e+03
#> 7 1.090707e+04 6.414623e+03 3.115022e+03 8.184641e+02 2.201964e+03
#> 8 6.478780e+03 4.933128e+03 2.908724e+03 2.283812e+03 4.199900e+02
#> 9 3.791080e+03 2.868817e+03 2.489853e+03 2.077953e+03 1.076583e+03
#> 10 1.645594e+03 1.738295e+03 1.777085e+03 1.859998e+03 1.253293e+03
#> 11 1.054718e+03 8.792055e+02 1.096601e+03 1.197041e+03 1.138410e+03
#> 12 5.906063e+02 4.950007e+02 5.461906e+02 8.069096e+02 7.695409e+02
#> 13 5.406578e+02 3.034436e+02 3.205953e+02 3.635823e+02 4.841382e+02
#> 14 2.233164e+02 2.526566e+02 1.719514e+02 2.017937e+02 1.732379e+02
#> 15 8.288155e+01 1.113540e+02 1.523604e+02 1.224566e+02 9.695317e+01
#> 16 3.229218e+01 4.818059e+01 6.425934e+01 9.055870e+01 5.222346e+01
#> 17 8.150477e+00 2.045998e+01 2.892503e+01 3.800163e+01 4.410091e+01
#> 18 2.392595e+00 4.013510e+00 9.879759e+00 9.593000e+00 1.473990e+01
#> 19 1.046093e+00 1.367809e+00 2.189450e+00 3.788580e+00 4.322901e+00
#> 20 7.572278e-01 7.372255e-01 8.889428e-01 9.831062e-01 1.566013e+00
#> year
#> age 11 12 13 14 15
#> 1 7.295630e+04 68913.90021 2.682991e+05 195759.82637 2.607011e+05
#> 2 3.098553e+05 47808.30260 4.189459e+04 124000.02264 1.514104e+05
#> 3 1.221674e+05 212788.96790 3.137134e+04 23566.32039 9.501066e+04
#> 4 8.635895e+04 77534.13904 1.550119e+05 20590.56425 1.936881e+04
#> 5 2.633892e+04 55333.03006 5.231400e+04 95914.11321 1.625196e+04
#> 6 9.593771e+03 16967.31347 3.241962e+04 29285.94151 7.066222e+04
#> 7 3.285318e+03 4737.36625 8.804483e+03 18176.55997 2.348212e+04
#> 8 1.100071e+03 1987.70851 2.943787e+03 5168.95182 1.489968e+04
#> 9 1.492660e+02 645.87813 1.289718e+03 1927.56127 4.394944e+03
#> 10 3.591132e+02 84.03101 3.536325e+02 861.97614 1.569506e+03
#> 11 5.131107e+02 224.85714 5.003430e+01 186.88694 6.589844e+02
#> 12 5.373593e+02 320.02644 1.454056e+02 26.53295 1.449946e+02
#> 13 3.398268e+02 366.75769 2.305623e+02 83.12835 2.061309e+01
#> 14 1.831103e+02 214.30486 2.508968e+02 109.88019 5.810313e+01
#> 15 7.267265e+01 105.67700 1.498890e+02 125.96389 7.501624e+01
#> 16 3.987168e+01 45.73688 7.957433e+01 90.14902 7.658095e+01
#> 17 2.542803e+01 23.93474 3.515533e+01 57.80492 6.088516e+01
#> 18 2.152197e+01 14.69372 1.861925e+01 23.51788 3.826392e+01
#> 19 8.617333e+00 10.34015 1.114277e+01 12.75353 1.508918e+01
#> 20 2.691917e+00 3.99583 7.267333e+00 6.67453 7.936317e+00
#> year
#> age 16 17 18 19 20
#> 1 287595.73506 1.344800e+05 2.539862e+05 1.748917e+05 1.453768e+05
#> 2 186079.53146 1.332535e+05 7.597440e+04 1.755454e+05 1.195161e+05
#> 3 116453.04904 1.039355e+05 6.784794e+04 5.294226e+04 1.264019e+05
#> 4 71184.46972 6.752751e+04 5.337798e+04 4.247174e+04 3.249573e+04
#> 5 15013.22248 5.210731e+04 3.779397e+04 3.524915e+04 2.595579e+04
#> 6 10593.34263 1.066934e+04 3.430259e+04 2.616748e+04 2.380112e+04
#> 7 49771.45223 6.884137e+03 6.306820e+03 2.191425e+04 1.855030e+04
#> 8 16553.08224 3.620166e+04 4.712160e+03 4.272715e+03 1.509264e+04
#> 9 11050.39340 1.224385e+04 1.813741e+04 2.383034e+03 2.818646e+03
#> 10 2978.40903 8.042533e+03 6.528716e+03 1.039060e+04 1.029256e+03
#> 11 922.59079 2.050044e+03 4.947128e+03 4.217932e+03 4.484477e+03
#> 12 421.76201 6.682656e+02 1.451443e+03 3.216808e+03 1.538648e+03
#> 13 102.56435 3.171261e+02 3.821750e+02 9.211857e+02 1.416069e+03
#> 14 14.26639 7.470236e+01 1.694731e+02 2.821789e+02 4.583318e+02
#> 15 37.01636 9.651746e+00 2.837901e+01 1.156781e+02 1.236114e+02
#> 16 46.28135 2.453645e+01 2.881632e+00 1.756715e+01 4.384634e+01
#> 17 43.77154 2.957382e+01 9.595407e+00 1.761401e+00 5.855405e+00
#> 18 38.45363 2.501607e+01 1.220935e+01 5.840799e+00 6.711546e-01
#> 19 27.77143 2.621256e+01 1.213310e+01 7.764609e+00 2.515666e+00
#> 20 10.36272 2.053748e+01 1.394149e+01 6.648476e+00 3.300106e+00
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.804429e-57 2.531000e-57 3.513051e-57 1.155068e-56 7.111068e-57
#> 4 2.182441e-17 3.061223e-17 4.249004e-17 1.397045e-16 8.600775e-17
#> 7 1.596863e-03 2.239855e-03 3.108939e-03 1.022199e-02 6.293071e-03
#> 10 6.666134e+02 9.350319e+02 1.297833e+03 4.267188e+03 2.627055e+03
#> 13 7.978276e+04 1.119081e+05 1.553294e+05 5.107129e+05 3.144157e+05
#> 16 1.831428e+05 2.568741e+05 3.565337e+05 1.172180e+06 7.217590e+05
#> 19 3.663598e+04 4.974372e+04 6.779966e+04 2.128974e+05 1.458934e+05
#> 22 4.661968e+04 4.696847e+04 5.123802e+04 5.615501e+04 2.006475e+05
#> 25 9.636725e+04 9.636982e+04 1.042010e+05 1.063408e+05 4.127399e+05
#> 28 6.665590e+04 6.665590e+04 7.012454e+04 7.024613e+04 2.551138e+05
#> 31 4.782807e+04 4.782807e+04 4.420613e+04 4.010079e+04 8.809702e+04
#> 34 5.493691e+04 5.493691e+04 4.749851e+04 4.062842e+04 5.365758e+04
#> 37 4.833458e+04 4.833458e+04 4.059195e+04 3.403248e+04 4.032829e+04
#> 40 3.880307e+04 3.880307e+04 3.126097e+04 2.540046e+04 2.796170e+04
#> 43 3.374807e+04 3.374807e+04 2.674016e+04 2.106876e+04 2.195979e+04
#> 46 2.878401e+04 2.878401e+04 2.327842e+04 1.792811e+04 1.846907e+04
#> 49 2.391309e+04 2.391309e+04 1.992877e+04 1.506201e+04 1.562863e+04
#> 52 2.015176e+04 2.015176e+04 1.698890e+04 1.266907e+04 1.323957e+04
#> 55 1.726784e+04 1.726784e+04 1.434787e+04 1.058909e+04 1.107142e+04
#> 58 1.490650e+04 1.490650e+04 1.199188e+04 8.724329e+03 9.082120e+03
#> 61 1.283389e+04 1.283389e+04 9.931307e+03 7.051421e+03 7.322006e+03
#> 64 1.087988e+04 1.087988e+04 8.121284e+03 5.560702e+03 5.805810e+03
#> 67 8.985015e+03 8.985015e+03 6.529682e+03 4.273929e+03 4.522263e+03
#> 70 7.190995e+03 7.190995e+03 5.153796e+03 3.222854e+03 3.458110e+03
#> 73 5.576357e+03 5.576357e+03 3.995072e+03 2.412630e+03 2.602816e+03
#> 76 4.201102e+03 4.201102e+03 3.042540e+03 1.812199e+03 1.940533e+03
#> 79 3.085131e+03 3.085131e+03 2.273506e+03 1.369892e+03 1.443142e+03
#> 82 2.213646e+03 2.213646e+03 1.661453e+03 1.035018e+03 1.073494e+03
#> 85 1.552904e+03 1.552904e+03 1.182176e+03 7.713595e+02 7.953020e+02
#> 88 1.064016e+03 1.064016e+03 8.153438e+02 5.592548e+02 5.811148e+02
#> 91 7.106092e+02 7.106092e+02 5.431509e+02 3.903053e+02 4.141042e+02
#> 94 4.614947e+02 4.614947e+02 3.487031e+02 2.605556e+02 2.851137e+02
#> 97 2.908283e+02 2.908283e+02 2.155574e+02 1.659450e+02 1.885141e+02
#> 100 1.775696e+02 1.775696e+02 1.283342e+02 1.008349e+02 1.193435e+02
#> 103 1.049507e+02 1.049507e+02 7.366383e+01 5.855907e+01 7.229905e+01
#> 106 6.003354e+01 6.003354e+01 4.083216e+01 3.259170e+01 4.195628e+01
#> 109 3.324636e+01 3.324636e+01 2.189985e+01 1.744157e+01 2.337117e+01
#> 112 1.783934e+01 1.783934e+01 1.138960e+01 9.007060e+00 1.252916e+01
#> 115 9.285054e+00 9.285054e+00 5.756718e+00 4.504927e+00 6.483189e+00
#> 118 4.694043e+00 4.694043e+00 2.834053e+00 2.190109e+00 3.247833e+00
#> 121 2.308428e+00 2.308428e+00 1.361896e+00 1.038526e+00 1.579952e+00
#> 124 1.106054e+00 1.106054e+00 6.401299e-01 4.818801e-01 7.485179e-01
#> 127 5.171571e-01 5.171571e-01 2.948474e-01 2.194261e-01 3.463066e-01
#> 130 2.363439e-01 2.363439e-01 1.333123e-01 9.830103e-02 1.568626e-01
#> 133 1.057335e-01 1.057335e-01 5.925708e-02 4.341661e-02 6.972230e-02
#> 136 4.637354e-02 4.637354e-02 2.592834e-02 1.893638e-02 3.047141e-02
#> 139 1.996756e-02 1.996756e-02 1.118041e-02 8.166019e-03 1.311700e-02
#> 142 8.451761e-03 8.451761e-03 4.755512e-03 3.484638e-03 5.569654e-03
#> 145 3.521004e-03 3.521004e-03 1.996798e-03 1.472184e-03 2.335545e-03
#> 148 1.445348e-03 1.445348e-03 8.282366e-04 6.159444e-04 9.681107e-04
#> 151 5.852144e-04 5.852144e-04 3.395468e-04 2.552374e-04 3.969716e-04
#> 154 2.339407e-04 2.339407e-04 1.376510e-04 1.047559e-04 1.611164e-04
#> 157 9.241056e-05 9.241056e-05 5.520509e-05 4.258324e-05 6.475281e-05
#> 160 3.609993e-05 3.609993e-05 2.191143e-05 1.714440e-05 2.577919e-05
#> 163 1.395644e-05 1.395644e-05 8.610258e-06 6.836646e-06 1.016950e-05
#> 166 5.343360e-06 5.343360e-06 3.350998e-06 2.700452e-06 3.976143e-06
#> 169 2.027170e-06 2.027170e-06 1.292116e-06 1.056726e-06 1.541218e-06
#> 172 7.625117e-07 7.625117e-07 4.938064e-07 4.097361e-07 5.923968e-07
#> 175 2.845171e-07 2.845171e-07 1.871103e-07 1.574586e-07 2.258488e-07
#> 178 1.053630e-07 1.053630e-07 7.032147e-08 5.998923e-08 8.542720e-08
#> 181 3.874187e-08 3.874187e-08 2.622328e-08 2.266532e-08 3.206780e-08
#> 184 1.415014e-08 1.415014e-08 9.706107e-09 8.495074e-09 1.194967e-08
#> 187 5.136146e-09 5.136146e-09 3.567537e-09 3.159998e-09 4.421959e-09
#> 190 1.853325e-09 1.853325e-09 1.302500e-09 1.166957e-09 1.625465e-09
#> 193 6.648859e-10 6.648859e-10 4.724233e-10 4.278563e-10 5.935456e-10
#> 196 2.375154e-10 2.375154e-10 1.704993e-10 1.560215e-10 2.156243e-10
#> 199 8.430691e-11 8.430691e-11 6.109444e-11 5.645116e-11 7.777013e-11
#> 202 2.983595e-11 2.983595e-11 2.180824e-11 2.033731e-11 2.794053e-11
#> 205 1.044929e-11 1.044929e-11 7.709604e-12 7.258396e-12 9.935744e-12
#> 208 3.670972e-12 3.670972e-12 2.727612e-12 2.588825e-12 3.536961e-12
#> 211 1.312003e-12 1.312003e-12 9.729370e-13 9.272514e-13 1.272074e-12
#> 214 4.447475e-13 4.447475e-13 3.350461e-13 3.234650e-13 4.393206e-13
#> 217 1.610285e-13 1.610285e-13 1.205906e-13 1.155374e-13 1.577021e-13
#> 220 5.241573e-14 5.241573e-14 4.027157e-14 3.969722e-14 5.356960e-14
#> 223 1.694275e-14 1.694275e-14 1.364235e-14 1.365355e-14 1.831239e-14
#> 226 6.038769e-15 6.038769e-15 4.810336e-15 4.757339e-15 6.427906e-15
#> 229 1.681812e-15 1.681812e-15 1.378108e-15 1.467340e-15 1.938171e-15
#> 232 8.537128e-16 8.537128e-16 7.138932e-16 7.160427e-16 9.213812e-16
#> 235 2.253875e-16 2.253875e-16 1.816277e-16 1.919605e-16 2.737677e-16
#> 238 5.390348e-17 5.390348e-17 4.299419e-17 5.248236e-17 6.703640e-17
#> year
#> length 6 7 8 9 10
#> 1 6.351627e-57 2.832097e-57 2.152019e-57 2.016388e-57 3.272220e-57
#> 4 7.682238e-17 3.425397e-17 2.602849e-17 2.438803e-17 3.957722e-17
#> 7 5.620989e-03 2.506317e-03 1.904469e-03 1.784439e-03 2.895812e-03
#> 10 2.346493e+03 1.046267e+03 7.950243e+02 7.449177e+02 1.208862e+03
#> 13 2.808370e+05 1.252211e+05 9.515145e+04 8.915451e+04 1.446811e+05
#> 16 6.446197e+05 2.874204e+05 2.183992e+05 2.046559e+05 3.320909e+05
#> 19 1.230302e+05 5.408518e+04 4.081167e+04 4.094111e+04 6.298381e+04
#> 22 9.766585e+04 3.488927e+04 2.330685e+04 5.210542e+04 4.584632e+04
#> 25 1.994812e+05 7.039645e+04 4.671206e+04 1.072288e+05 9.326469e+04
#> 28 1.400716e+05 4.607573e+04 2.996781e+04 6.873885e+04 6.455665e+04
#> 31 1.064263e+05 2.484890e+04 1.417128e+04 3.228463e+04 4.632953e+04
#> 34 1.199337e+05 2.406895e+04 1.245107e+04 2.803503e+04 5.198711e+04
#> 37 8.728039e+04 1.925593e+04 9.859132e+03 2.157578e+04 4.133231e+04
#> 40 4.176236e+04 1.280970e+04 6.648215e+03 1.358699e+04 2.617426e+04
#> 43 1.910949e+04 8.860911e+03 4.843579e+03 9.290875e+03 1.771283e+04
#> 46 1.219100e+04 5.889654e+03 3.564115e+03 6.781741e+03 1.245528e+04
#> 49 1.016832e+04 3.759103e+03 2.499647e+03 4.882402e+03 8.502121e+03
#> 52 9.090066e+03 2.854369e+03 1.774123e+03 3.486457e+03 5.841279e+03
#> 55 8.053208e+03 2.766578e+03 1.392183e+03 2.474119e+03 4.090284e+03
#> 58 6.986739e+03 2.901725e+03 1.286088e+03 1.772202e+03 2.850789e+03
#> 61 5.939626e+03 2.942125e+03 1.341429e+03 1.357000e+03 1.952512e+03
#> 64 4.938268e+03 2.812034e+03 1.430786e+03 1.174472e+03 1.340065e+03
#> 67 4.004773e+03 2.540283e+03 1.469370e+03 1.131915e+03 9.731405e+02
#> 70 3.164417e+03 2.183519e+03 1.428648e+03 1.133612e+03 7.911967e+02
#> 73 2.438514e+03 1.797571e+03 1.315885e+03 1.113662e+03 7.191700e+02
#> 76 1.838047e+03 1.426225e+03 1.152816e+03 1.045134e+03 6.886337e+02
#> 79 1.361042e+03 1.097077e+03 9.642729e+02 9.303453e+02 6.537935e+02
#> 82 9.941757e+02 8.224566e+02 7.728264e+02 7.861754e+02 5.949330e+02
#> 85 7.177578e+02 6.033645e+02 5.956831e+02 6.327135e+02 5.123015e+02
#> 88 5.114487e+02 4.341632e+02 4.432442e+02 4.867933e+02 4.165911e+02
#> 91 3.581100e+02 3.065192e+02 3.194829e+02 3.593643e+02 3.206735e+02
#> 94 2.449432e+02 2.119764e+02 2.236291e+02 2.554049e+02 2.346042e+02
#> 97 1.627403e+02 1.431782e+02 1.522199e+02 1.752426e+02 1.638540e+02
#> 100 1.045758e+02 9.413939e+01 1.007772e+02 1.163271e+02 1.097222e+02
#> 103 6.482413e+01 6.007003e+01 6.485188e+01 7.481004e+01 7.071777e+01
#> 106 3.872190e+01 3.711627e+01 4.052332e+01 4.664669e+01 4.401362e+01
#> 109 2.229308e+01 2.217831e+01 2.456231e+01 2.821148e+01 2.652268e+01
#> 112 1.238317e+01 1.281069e+01 1.443128e+01 1.655195e+01 1.550588e+01
#> 115 6.647179e+00 7.155409e+00 8.216546e+00 9.422333e+00 8.807830e+00
#> 118 3.454771e+00 3.867990e+00 4.534138e+00 5.205629e+00 4.866383e+00
#> 121 1.742104e+00 2.026076e+00 2.426424e+00 2.792506e+00 2.617378e+00
#> 124 8.541067e-01 1.029852e+00 1.260341e+00 1.455498e+00 1.371355e+00
#> 127 4.079664e-01 5.087744e-01 6.361253e-01 7.377324e-01 7.003936e-01
#> 130 1.902225e-01 2.446862e-01 3.123772e-01 3.639969e-01 3.489322e-01
#> 133 8.674071e-02 1.147437e-01 1.494466e-01 1.750251e-01 1.696960e-01
#> 136 3.874787e-02 5.254935e-02 6.975383e-02 8.211681e-02 8.062883e-02
#> 139 1.698305e-02 2.353876e-02 3.180763e-02 3.763891e-02 3.746134e-02
#> 142 7.313831e-03 1.032773e-02 1.418965e-02 1.687580e-02 1.703572e-02
#> 145 3.098824e-03 4.444520e-03 6.201092e-03 7.410705e-03 7.590113e-03
#> 148 1.293238e-03 1.878460e-03 2.658132e-03 3.191219e-03 3.316521e-03
#> 151 5.321652e-04 7.806576e-04 1.118994e-03 1.349190e-03 1.422664e-03
#> 154 2.161292e-04 3.193682e-04 4.631542e-04 5.606689e-04 5.997121e-04
#> 157 8.670647e-05 1.287521e-04 1.886893e-04 2.292622e-04 2.486748e-04
#> 160 3.438730e-05 5.120085e-05 7.574298e-05 9.234284e-05 1.015281e-04
#> 163 1.349148e-05 2.010300e-05 2.998713e-05 3.667308e-05 4.085168e-05
#> 166 5.239827e-06 7.799724e-06 1.171989e-05 1.437375e-05 1.621401e-05
#> 169 2.015707e-06 2.992827e-06 4.525674e-06 5.564848e-06 6.353303e-06
#> 172 7.684753e-07 1.136566e-06 1.728088e-06 2.129890e-06 2.459756e-06
#> 175 2.905000e-07 4.274873e-07 6.529831e-07 8.065289e-07 9.416847e-07
#> 178 1.089394e-07 1.593505e-07 2.443445e-07 3.023851e-07 3.567472e-07
#> 181 4.054543e-08 5.890498e-08 9.060650e-08 1.123253e-07 1.338324e-07
#> 184 1.498296e-08 2.160564e-08 3.331535e-08 4.136667e-08 4.974999e-08
#> 187 5.499768e-09 7.867607e-09 1.215409e-08 1.511298e-08 1.833722e-08
#> 190 2.006046e-09 2.845733e-09 4.401802e-09 5.480510e-09 6.705586e-09
#> 193 7.272745e-10 1.022817e-09 1.583357e-09 1.973656e-09 2.434031e-09
#> 196 2.623141e-10 3.655802e-10 5.660665e-10 7.063580e-10 8.776424e-10
#> 199 9.404224e-11 1.299154e-10 2.011569e-10 2.512394e-10 3.143785e-10
#> 202 3.357840e-11 4.595959e-11 7.111310e-11 8.889576e-11 1.119813e-10
#> 205 1.188583e-11 1.614076e-11 2.498177e-11 3.125531e-11 3.962984e-11
#> 208 4.208597e-12 5.662875e-12 8.750833e-12 1.095541e-11 1.397321e-11
#> 211 1.503303e-12 2.000850e-12 3.069467e-12 3.842564e-12 4.918457e-12
#> 214 5.195114e-13 6.876475e-13 1.060818e-12 1.331961e-12 1.714559e-12
#> 217 1.868651e-13 2.448178e-13 3.756775e-13 4.662289e-13 6.003938e-13
#> 220 6.248596e-14 8.114560e-14 1.251072e-13 1.576958e-13 2.061832e-13
#> 223 2.066122e-14 2.635646e-14 4.077975e-14 5.117767e-14 6.947971e-14
#> 226 7.363055e-15 9.663011e-15 1.464227e-14 1.854182e-14 2.487009e-14
#> 229 2.159366e-15 2.444443e-15 3.746957e-15 4.602998e-15 6.511872e-15
#> 232 1.002326e-15 1.240395e-15 2.175184e-15 2.561151e-15 3.639509e-15
#> 235 2.842780e-16 3.155543e-16 4.404627e-16 6.389103e-16 8.276632e-16
#> 238 8.406917e-17 8.184847e-17 9.869248e-17 1.091467e-16 1.738624e-16
#> year
#> length 11 12 13 14 15
#> 1 4.432691e-58 4.187082e-58 1.630136e-57 1.189401e-57 1.583972e-57
#> 4 5.361301e-18 5.064240e-18 1.971635e-17 1.438570e-17 1.915801e-17
#> 7 3.922792e-04 3.705436e-04 1.442619e-03 1.052582e-03 1.401765e-03
#> 10 1.637577e+02 1.546841e+02 6.022241e+02 4.394025e+02 5.851697e+02
#> 13 1.959914e+04 1.851317e+04 7.207641e+04 5.258932e+04 7.003528e+04
#> 16 4.502826e+04 4.249694e+04 1.654298e+05 1.207169e+05 1.607615e+05
#> 19 1.381705e+04 8.451780e+03 3.019546e+04 2.378660e+04 3.141976e+04
#> 22 6.542256e+04 1.028185e+04 9.600859e+03 2.666452e+04 3.262861e+04
#> 25 1.368600e+05 2.217475e+04 1.859119e+04 5.463512e+04 6.707372e+04
#> 28 8.923548e+04 2.601739e+04 1.302696e+04 3.411053e+04 4.582933e+04
#> 31 4.709912e+04 5.183592e+04 1.035503e+04 1.300698e+04 3.098735e+04
#> 34 4.608276e+04 7.435517e+04 1.626932e+04 9.502939e+03 3.354579e+04
#> 37 4.086098e+04 6.152836e+04 2.798407e+04 8.896713e+03 2.550826e+04
#> 40 3.392625e+04 4.149223e+04 4.274163e+04 1.034266e+04 1.459804e+04
#> 43 2.885165e+04 3.167487e+04 4.770768e+04 1.579904e+04 9.761826e+03
#> 46 2.193263e+04 2.642413e+04 4.002547e+04 2.310919e+04 9.651108e+03
#> 49 1.491317e+04 2.171189e+04 2.929626e+04 2.741990e+04 1.252191e+04
#> 52 9.852294e+03 1.681438e+04 2.133942e+04 2.600522e+04 1.672181e+04
#> 55 6.551296e+03 1.199799e+04 1.588187e+04 2.083496e+04 1.964363e+04
#> 58 4.346850e+03 7.960728e+03 1.162631e+04 1.524258e+04 1.955449e+04
#> 61 2.848940e+03 5.051325e+03 8.115531e+03 1.080698e+04 1.685192e+04
#> 64 1.839356e+03 3.142539e+03 5.368748e+03 7.562656e+03 1.308929e+04
#> 67 1.177041e+03 1.945371e+03 3.404562e+03 5.174538e+03 9.515820e+03
#> 70 7.641236e+02 1.209317e+03 2.106945e+03 3.424127e+03 6.627975e+03
#> 73 5.259913e+02 7.637407e+02 1.293360e+03 2.188846e+03 4.458728e+03
#> 76 4.010538e+02 5.011029e+02 7.985426e+02 1.361046e+03 2.897738e+03
#> 79 3.389647e+02 3.524620e+02 5.046287e+02 8.323002e+02 1.820025e+03
#> 82 3.028231e+02 2.707357e+02 3.346612e+02 5.076132e+02 1.109302e+03
#> 85 2.706276e+02 2.232939e+02 2.383887e+02 3.146290e+02 6.618189e+02
#> 88 2.335629e+02 1.895215e+02 1.826661e+02 2.027532e+02 3.916868e+02
#> 91 1.916746e+02 1.589842e+02 1.466407e+02 1.382898e+02 2.340368e+02
#> 94 1.489981e+02 1.285639e+02 1.188257e+02 9.983372e+01 1.438517e+02
#> 97 1.098931e+02 9.909742e+01 9.432995e+01 7.476198e+01 9.212706e+01
#> 100 7.719912e+01 7.259078e+01 7.209776e+01 5.644288e+01 6.144714e+01
#> 103 5.188541e+01 5.059173e+01 5.264853e+01 4.192677e+01 4.208905e+01
#> 106 3.350650e+01 3.364683e+01 3.666011e+01 3.016904e+01 2.901307e+01
#> 109 2.086837e+01 2.142991e+01 2.436531e+01 2.086169e+01 1.975778e+01
#> 112 1.257341e+01 1.311749e+01 1.549272e+01 1.382108e+01 1.311996e+01
#> 115 7.346094e+00 7.742039e+00 9.451063e+00 8.771128e+00 8.430853e+00
#> 118 4.169426e+00 4.418581e+00 5.547262e+00 5.338829e+00 5.223911e+00
#> 121 2.301915e+00 2.444577e+00 3.141325e+00 3.123011e+00 3.117871e+00
#> 124 1.237473e+00 1.313783e+00 1.720608e+00 1.759622e+00 1.793340e+00
#> 127 6.482976e-01 6.870818e-01 9.136558e-01 9.571734e-01 9.953342e-01
#> 130 3.312294e-01 3.501965e-01 4.713171e-01 5.038151e-01 5.339678e-01
#> 133 1.651645e-01 1.741821e-01 2.366371e-01 2.571577e-01 2.774055e-01
#> 136 8.043924e-02 8.464315e-02 1.158307e-01 1.275437e-01 1.398301e-01
#> 139 3.829425e-02 4.022944e-02 5.536067e-02 6.158506e-02 6.851578e-02
#> 142 1.783553e-02 1.871970e-02 2.587177e-02 2.900134e-02 3.269427e-02
#> 145 8.134233e-03 8.536437e-03 1.183755e-02 1.334145e-02 1.521922e-02
#> 148 3.636054e-03 3.818433e-03 5.309246e-03 6.004764e-03 6.922430e-03
#> 151 1.594559e-03 1.676961e-03 2.336846e-03 2.647994e-03 3.081298e-03
#> 154 6.866938e-04 7.237352e-04 1.010452e-03 1.145627e-03 1.344124e-03
#> 157 2.906779e-04 3.072118e-04 4.296614e-04 4.868706e-04 5.753826e-04
#> 160 1.210583e-04 1.283722e-04 1.798358e-04 2.034839e-04 2.420081e-04
#> 163 4.964892e-05 5.284982e-05 7.415808e-05 8.372648e-05 1.001307e-04
#> 166 2.006984e-05 2.145406e-05 3.015417e-05 3.395089e-05 4.079850e-05
#> 169 8.003322e-06 8.594325e-06 1.210039e-05 1.358022e-05 1.638723e-05
#> 172 3.150995e-06 3.400023e-06 4.795716e-06 5.363092e-06 6.494821e-06
#> 175 1.225800e-06 1.329347e-06 1.878594e-06 2.092854e-06 2.542254e-06
#> 178 4.715356e-07 5.140295e-07 7.278559e-07 8.076398e-07 9.836166e-07
#> 181 1.794918e-07 1.967089e-07 2.791155e-07 3.084404e-07 3.764696e-07
#> 184 6.765595e-08 7.454640e-08 1.060051e-07 1.166541e-07 1.426434e-07
#> 187 2.526873e-08 2.799401e-08 3.989697e-08 4.372067e-08 5.354182e-08
#> 190 9.357162e-09 1.042306e-08 1.488934e-08 1.624794e-08 1.992213e-08
#> 193 3.437400e-09 3.849930e-09 5.512775e-09 5.990800e-09 7.352671e-09
#> 196 1.253504e-09 1.411554e-09 2.026101e-09 2.192725e-09 2.693235e-09
#> 199 4.539101e-10 5.139160e-10 7.395156e-10 7.971156e-10 9.796107e-10
#> 202 1.633397e-10 1.859193e-10 2.682016e-10 2.879395e-10 3.540020e-10
#> 205 5.839269e-11 6.681611e-11 9.664936e-11 1.033824e-10 1.271454e-10
#> 208 2.077575e-11 2.389638e-11 3.465382e-11 3.692653e-11 4.541810e-11
#> 211 7.369419e-12 8.520895e-12 1.238423e-11 1.313414e-11 1.614553e-11
#> 214 2.591296e-12 3.010367e-12 4.389613e-12 4.646798e-12 5.714216e-12
#> 217 9.113601e-13 1.065946e-12 1.557889e-12 1.639777e-12 2.011176e-12
#> 220 3.178935e-13 3.721495e-13 5.451749e-13 5.734214e-13 7.065339e-13
#> 223 1.094111e-13 1.290285e-13 1.889282e-13 1.977773e-13 2.445161e-13
#> 226 3.773078e-14 4.491716e-14 6.615196e-14 6.964267e-14 8.525055e-14
#> 229 1.129695e-14 1.376492e-14 2.073175e-14 2.087208e-14 2.592793e-14
#> 232 6.096028e-15 6.589062e-15 9.382361e-15 9.888992e-15 1.288527e-14
#> 235 1.554442e-15 2.035239e-15 2.850768e-15 2.897970e-15 3.437452e-15
#> 238 2.988629e-16 4.436262e-16 8.068360e-16 7.410217e-16 8.811082e-16
#> year
#> length 16 17 18 19 20
#> 1 1.747379e-57 8.170759e-58 1.543174e-57 1.062610e-57 8.832828e-58
#> 4 2.113440e-17 9.882462e-18 1.866455e-17 1.285217e-17 1.068323e-17
#> 7 1.546375e-03 7.230864e-04 1.365660e-03 9.403760e-04 7.816774e-04
#> 10 6.455373e+02 3.018538e+02 5.700974e+02 3.925618e+02 3.263127e+02
#> 13 7.726030e+04 3.612698e+04 6.823136e+04 4.698325e+04 3.905432e+04
#> 16 1.773488e+05 8.293534e+04 1.566101e+05 1.078580e+05 8.965187e+04
#> 19 3.501892e+04 1.724349e+04 2.926676e+04 2.246744e+04 1.817987e+04
#> 22 4.000403e+04 2.844091e+04 1.673360e+04 3.745241e+04 2.558442e+04
#> 25 8.242957e+04 5.913912e+04 3.376878e+04 7.745084e+04 5.322364e+04
#> 28 5.631141e+04 4.162427e+04 2.427660e+04 4.952767e+04 3.942218e+04
#> 31 3.820728e+04 3.212223e+04 2.033821e+04 2.294035e+04 3.627400e+04
#> 34 4.278691e+04 3.812071e+04 2.513848e+04 2.043893e+04 4.430952e+04
#> 37 3.740157e+04 3.408770e+04 2.347759e+04 1.850763e+04 3.479166e+04
#> 40 2.929686e+04 2.832123e+04 2.091596e+04 1.670171e+04 2.112446e+04
#> 43 2.355717e+04 2.590259e+04 1.999805e+04 1.639291e+04 1.462497e+04
#> 46 1.712635e+04 2.326073e+04 1.859056e+04 1.577537e+04 1.240153e+04
#> 49 1.168596e+04 1.949748e+04 1.697835e+04 1.486920e+04 1.158259e+04
#> 52 9.466340e+03 1.516963e+04 1.540073e+04 1.389593e+04 1.121999e+04
#> 55 1.018335e+04 1.133843e+04 1.337559e+04 1.272331e+04 1.086145e+04
#> 58 1.218616e+04 9.185446e+03 1.088431e+04 1.126984e+04 1.029476e+04
#> 61 1.365450e+04 8.891556e+03 8.521560e+03 9.542855e+03 9.427192e+03
#> 64 1.352338e+04 9.548339e+03 6.892910e+03 7.716315e+03 8.242610e+03
#> 67 1.185495e+04 9.991952e+03 6.108749e+03 6.101602e+03 6.830605e+03
#> 70 9.391484e+03 9.556185e+03 5.803739e+03 4.930176e+03 5.378306e+03
#> 73 6.880532e+03 8.253096e+03 5.507605e+03 4.198756e+03 4.088438e+03
#> 76 4.747316e+03 6.493063e+03 4.954049e+03 3.721352e+03 3.080410e+03
#> 79 3.120102e+03 4.719868e+03 4.138606e+03 3.291481e+03 2.355207e+03
#> 82 1.966290e+03 3.213351e+03 3.205617e+03 2.799028e+03 1.837110e+03
#> 85 1.194306e+03 2.071970e+03 2.315154e+03 2.244041e+03 1.440130e+03
#> 88 7.037609e+02 1.276636e+03 1.570638e+03 1.686149e+03 1.108945e+03
#> 91 4.062547e+02 7.574647e+02 1.008059e+03 1.188948e+03 8.234193e+02
#> 94 2.328375e+02 4.362042e+02 6.160020e+02 7.901124e+02 5.834606e+02
#> 97 1.346124e+02 2.460273e+02 3.605348e+02 4.974244e+02 3.930108e+02
#> 100 7.966510e+01 1.373493e+02 2.033247e+02 2.982341e+02 2.516788e+02
#> 103 4.864830e+01 7.675294e+01 1.112074e+02 1.711489e+02 1.535557e+02
#> 106 3.057854e+01 4.335417e+01 5.941577e+01 9.446784e+01 8.953191e+01
#> 109 1.955784e+01 2.489041e+01 3.124929e+01 5.038842e+01 5.005349e+01
#> 112 1.253645e+01 1.451671e+01 1.630182e+01 2.609258e+01 2.692204e+01
#> 115 7.942461e+00 8.548925e+00 8.488952e+00 1.317643e+01 1.397800e+01
#> 118 4.923282e+00 5.037640e+00 4.430375e+00 6.516925e+00 7.028263e+00
#> 121 2.967152e+00 2.943055e+00 2.319655e+00 3.169333e+00 3.432963e+00
#> 124 1.732957e+00 1.691671e+00 1.216121e+00 1.520719e+00 1.633815e+00
#> 127 9.796497e-01 9.515783e-01 6.359420e-01 7.218349e-01 7.597610e-01
#> 130 5.360736e-01 5.220998e-01 3.301626e-01 3.395542e-01 3.461299e-01
#> 133 2.841964e-01 2.789459e-01 1.694319e-01 1.584348e-01 1.548605e-01
#> 136 1.461536e-01 1.450515e-01 8.563790e-02 7.333467e-02 6.819006e-02
#> 139 7.302117e-02 7.342951e-02 4.252366e-02 3.365692e-02 2.960702e-02
#> 142 3.549985e-02 3.621478e-02 2.071085e-02 1.530309e-02 1.269526e-02
#> 145 1.682049e-02 1.741858e-02 9.886018e-03 6.886495e-03 5.382784e-03
#> 148 7.779792e-03 8.180210e-03 4.623990e-03 3.064241e-03 2.258956e-03
#> 151 3.517808e-03 3.755652e-03 2.119761e-03 1.347135e-03 9.389570e-04
#> 154 1.557323e-03 1.687828e-03 9.529289e-04 5.848071e-04 3.867472e-04
#> 157 6.759000e-04 7.434286e-04 4.203868e-04 2.505967e-04 1.579008e-04
#> 160 2.879682e-04 3.213282e-04 1.821433e-04 1.059838e-04 6.391416e-05
#> 163 1.205850e-04 1.364479e-04 7.757819e-05 4.424111e-05 2.565156e-05
#> 166 4.968493e-05 5.698747e-05 3.251070e-05 1.823147e-05 1.020862e-05
#> 169 2.016529e-05 2.343411e-05 1.341747e-05 7.419324e-06 4.028906e-06
#> 172 8.069926e-06 9.497530e-06 5.458382e-06 2.982847e-06 1.576925e-06
#> 175 3.187348e-06 3.797328e-06 2.190710e-06 1.185290e-06 6.121919e-07
#> 178 1.243565e-06 1.499132e-06 8.681585e-07 4.657666e-07 2.357653e-07
#> 181 4.796750e-07 5.848719e-07 3.399816e-07 1.810896e-07 9.008822e-08
#> 184 1.830640e-07 2.256760e-07 1.316694e-07 6.970032e-08 3.416135e-08
#> 187 6.917585e-08 8.618639e-08 5.046730e-08 2.657321e-08 1.285917e-08
#> 190 2.589994e-08 3.260045e-08 1.915678e-08 1.004041e-08 4.806092e-09
#> 193 9.614204e-09 1.222150e-08 7.206086e-09 3.761283e-09 1.783861e-09
#> 196 3.540556e-09 4.543856e-09 2.688156e-09 1.398388e-09 6.581284e-10
#> 199 1.294204e-09 1.676292e-09 9.948293e-10 5.157736e-10 2.411047e-10
#> 202 4.698456e-10 6.140020e-10 3.655302e-10 1.889966e-10 8.788745e-11
#> 205 1.694814e-10 2.233839e-10 1.333645e-10 6.873750e-11 3.174758e-11
#> 208 6.077828e-11 8.077831e-11 4.836782e-11 2.487697e-11 1.145277e-11
#> 211 2.167841e-11 2.904834e-11 1.745222e-11 8.976729e-12 4.148842e-12
#> 214 7.698055e-12 1.039073e-11 6.252933e-12 3.201049e-12 1.463898e-12
#> 217 2.715746e-12 3.693600e-12 2.231261e-12 1.147826e-12 5.284384e-13
#> 220 9.583668e-13 1.312050e-12 7.933522e-13 4.038018e-13 1.829949e-13
#> 223 3.352915e-13 4.637535e-13 2.814176e-13 1.426051e-13 6.332480e-14
#> 226 1.160564e-13 1.618036e-13 9.828564e-14 4.963976e-14 2.237025e-14
#> 229 3.616058e-14 5.318007e-14 3.305657e-14 1.664483e-14 7.420245e-15
#> 232 1.733866e-14 2.227841e-14 1.333650e-14 6.801323e-15 2.831415e-15
#> 235 5.384234e-15 7.470415e-15 4.442677e-15 2.338303e-15 1.012066e-15
#> 238 1.150493e-15 2.280118e-15 1.547816e-15 7.381291e-16 3.663854e-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: 0x5604e230fd10>
#>
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 0.3557198 0.6082350 0.6995174 0.6605514 0.8415782 1.2929353 1.0593444
#> 2 0.3193640 0.4659770 0.5280174 0.5107772 0.6422603 1.0454516 0.8114504
#> 3 0.4795008 0.7162273 0.9078478 0.9000340 1.0151233 1.2925721 0.8621302
#> 4 0.6301768 0.7779741 1.2042721 1.0197734 1.1377801 1.2614525 0.8836256
#> 5 0.6257378 0.6968096 1.2290509 0.8506755 0.9473792 0.9160065 0.5637190
#> 6 0.8072673 0.8613199 1.0880300 0.7975084 0.8461939 0.6435636 0.4018563
#> 7 0.8316411 0.6866097 0.8351549 0.6806381 0.7071577 0.6096546 0.3862286
#> 8 1.3079333 1.1071083 1.2434917 1.1845777 1.0311280 0.8223141 0.5979890
#> 9 1.1492114 1.1212123 1.1163618 1.0575778 1.0098917 0.7165924 0.5771012
#> 10 1.2766179 1.3560374 1.4813859 1.3180126 1.0516967 0.7762352 0.6258190
#> 11 1.1432194 1.2101033 1.4223858 1.1399125 0.8611513 0.7428448 0.5662171
#> 12 0.8161548 0.9667068 1.0170986 0.8588592 0.7438635 0.6581106 0.5054837
#> 13 0.7083846 0.8757368 1.0195341 0.9490733 0.7503426 0.6507003 0.4337531
#> 14 0.5483087 0.7147694 0.8208152 0.7935355 0.6941688 0.5740471 0.4067247
#> 15 0.6751301 0.8803059 0.9248474 1.0519020 0.8348678 0.5540194 0.4058975
#> 16 0.7014429 0.8432144 0.9941955 1.0309886 0.7805706 0.4337456 0.4197215
#> 17 0.7577177 0.8021702 0.8836184 1.0355071 0.8162633 0.5074006 0.4816700
#> 18 0.5354666 0.5765652 0.5428513 0.5791658 0.5263931 0.3727115 0.3591249
#> 19 0.5978756 0.7038716 0.5269029 0.5882740 0.5577142 0.3959076 0.3393162
#> 20 0.4569389 0.5274749 0.4603853 0.5367033 0.4378712 0.2949751 0.2624671
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.8190188 0.5493216 0.5918109 0.6763668 0.5396282 0.4891900 0.4893954
#> 2 0.6583612 0.3924588 0.4716798 0.5038455 0.5014813 0.4588359 0.4712464
#> 3 0.7892736 0.4926867 0.5817852 0.5769902 0.5887027 0.5335410 0.5264190
#> 4 0.9722526 0.5565894 0.6440113 0.6443478 0.5901620 0.6097979 0.5842419
#> 5 0.6014184 0.3410581 0.4678875 0.4388014 0.3941687 0.3819151 0.4552094
#> 6 0.4452356 0.2916731 0.4403693 0.3909562 0.3632359 0.4065281 0.4865787
#> 7 0.4915575 0.3746917 0.5897466 0.4578481 0.5078552 0.4965885 0.5636183
#> 8 0.5287770 0.4151798 0.4624533 0.3971196 0.4208852 0.5237442 0.5694253
#> 9 0.5274004 0.4491110 0.5064163 0.4229889 0.4254558 0.4897647 0.4842125
#> 10 0.5228314 0.4345161 0.5308643 0.4298112 0.4344045 0.4379782 0.4509171
#> 11 0.4879950 0.4586318 0.5705294 0.4937950 0.4042079 0.3656564 0.3781077
#> 12 0.4083691 0.4009491 0.4506796 0.3955239 0.3132568 0.3100096 0.3115157
#> 13 0.3546456 0.3657481 0.4237817 0.3589728 0.2731279 0.2851922 0.2275133
#> 14 0.3451724 0.3725685 0.4006600 0.3593167 0.2836543 0.2973401 0.3042102
#> 15 0.3383872 0.3785286 0.4078331 0.3430088 0.3483057 0.3937812 0.4701661
#> 16 0.3587443 0.4568514 0.4264721 0.3567047 0.3590916 0.4069201 0.5415155
#> 17 0.3973703 0.5300743 0.4725825 0.4046048 0.4013642 0.4487631 0.5385293
#> 18 0.3001610 0.3736264 0.3277032 0.3118591 0.3600121 0.3271659 0.3495706
#> 19 0.3233901 0.4102449 0.3400469 0.3596657 0.4359967 0.4132502 0.4206280
#> 20 0.2173919 0.2522752 0.2498078 0.3094494 0.3717631 0.3525327 0.3909770
#> year
#> age 15 16 17 18 19 20 21
#> 1 0.3245937 0.3819103 0.4606396 0.5470309 0.6381588 0.5796223 0.5380061
#> 2 0.3234916 0.3536243 0.4703038 0.5605646 0.5633855 0.5181008 0.5435595
#> 3 0.4470831 0.5338374 0.6113888 0.6928600 0.6396265 0.6183826 0.6809038
#> 4 0.5791208 0.6545564 0.7147459 0.9323844 0.8868093 0.9030155 1.0087606
#> 5 0.4700339 0.5199400 0.5651987 0.7309537 0.5724465 0.6410207 0.7918768
#> 6 0.4864712 0.5297664 0.6515964 0.8509659 0.6188609 0.6807986 0.6915844
#> 7 0.5245633 0.5051558 0.6131842 0.8658257 0.7075211 0.6420154 0.7261621
#> 8 0.3863383 0.3528418 0.4161579 0.5423931 0.4954557 0.4549475 0.5208357
#> 9 0.3191612 0.3004214 0.4153752 0.4663025 0.4431380 0.4910558 0.5677469
#> 10 0.2522930 0.2499159 0.4456805 0.4130899 0.3812351 0.3927443 0.4599195
#> 11 0.2162670 0.2707313 0.4523267 0.5191911 0.4553906 0.3715488 0.4999162
#> 12 0.2074000 0.2591174 0.3793532 0.4125662 0.4096967 0.3653378 0.4089028
#> 13 0.1408520 0.1828364 0.2740300 0.3333348 0.4391902 0.3415121 0.3264469
#> 14 0.1860544 0.1931701 0.2580207 0.3248002 0.3406020 0.2537564 0.2844613
#> 15 0.3525664 0.4001824 0.4912255 0.5967249 0.6079264 0.4896006 0.5322268
#> 16 0.3270801 0.3599444 0.4656284 0.5976993 0.7186496 0.6946585 0.6230782
#> 17 0.3636733 0.3677844 0.4543200 0.5756144 0.7025764 0.7876877 0.6600297
#> 18 0.2410693 0.2312864 0.2960371 0.4573188 0.5620881 0.5754527 0.5036731
#> 19 0.3233883 0.2974303 0.4261388 0.7103056 0.7871878 0.7738614 0.6043155
#> 20 0.2941503 0.2480319 0.2824402 0.5655639 0.6595624 0.6497081 0.5029092
#> year
#> age 22 23 24 25 26 27 28
#> 1 0.4689959 0.3367363 0.5321582 0.5829775 0.3861841 0.3761006 0.2525462
#> 2 0.4516894 0.3392844 0.4706845 0.6068741 0.4266870 0.3918968 0.2968748
#> 3 0.6295863 0.4204003 0.5495170 0.6079768 0.4251613 0.3371805 0.2591871
#> 4 0.8837486 0.5743495 0.7468221 0.8177861 0.6470399 0.5351257 0.3776424
#> 5 0.7563428 0.4975227 0.6177937 0.6257214 0.6032846 0.4116248 0.2922358
#> 6 0.7209454 0.4506517 0.6896599 0.7506643 0.7387410 0.4417335 0.3257862
#> 7 0.7198013 0.5018342 0.6670360 0.7003834 0.6875774 0.4744076 0.4046756
#> 8 0.4789468 0.3825703 0.5167010 0.5285451 0.4953467 0.3147052 0.2459889
#> 9 0.4693492 0.3647749 0.4051730 0.4488546 0.4271603 0.2924611 0.2489102
#> 10 0.3774020 0.2780427 0.2879157 0.3594653 0.3650411 0.2416056 0.2164812
#> 11 0.4354123 0.3170413 0.2688684 0.3100760 0.3162279 0.2474173 0.2432792
#> 12 0.3479457 0.2837981 0.2798279 0.3387764 0.2705618 0.2301893 0.2586732
#> 13 0.2824206 0.2770998 0.2727766 0.3516910 0.3243471 0.2383517 0.2935484
#> 14 0.2815896 0.2781545 0.2728289 0.3752821 0.3349273 0.2480592 0.3153212
#> 15 0.5016769 0.4184899 0.4049757 0.5934256 0.4653720 0.3733681 0.3904391
#> 16 0.7546177 0.7261309 0.5757674 0.8467937 0.6517562 0.4558655 0.4968946
#> 17 0.7232336 0.6466087 0.5137564 0.6421554 0.6215464 0.4169983 0.4683579
#> 18 0.5611725 0.5176350 0.3935864 0.6218754 0.6537726 0.4356005 0.5000818
#> 19 0.6524506 0.5395622 0.3977645 0.7604031 0.7866927 0.5248853 0.6898172
#> 20 0.5277968 0.5665721 0.4286151 0.8737601 0.8720011 0.6496202 0.8190439
#> year
#> age 29 30 31 32 33 34 35
#> 1 0.3395727 0.3292056 0.3107987 0.4046667 0.4984991 0.4256835 0.4000980
#> 2 0.3427296 0.3471016 0.3533668 0.4457044 0.5061842 0.5362302 0.4488573
#> 3 0.3444169 0.3298960 0.3687721 0.4672489 0.4720450 0.4709187 0.4975868
#> 4 0.4608607 0.4615777 0.5155382 0.6123675 0.6060824 0.6669705 0.7039447
#> 5 0.4423600 0.4416735 0.5411655 0.7540395 0.6917338 0.6507945 0.6368707
#> 6 0.5002511 0.6034347 0.7324829 0.9808289 0.8539527 0.7261437 0.5986807
#> 7 0.6083506 0.7283657 0.7541591 0.7789834 0.6282957 0.5879384 0.4847791
#> 8 0.3564253 0.3936753 0.3902786 0.4675445 0.4425728 0.3973776 0.3050385
#> 9 0.3627473 0.3327315 0.3818434 0.4919056 0.5573291 0.5148462 0.4154361
#> 10 0.2456401 0.2592364 0.2824255 0.3255831 0.4226612 0.4069413 0.4760570
#> 11 0.2747481 0.3423647 0.3305403 0.3862018 0.5530300 0.5708965 0.6752965
#> 12 0.2445970 0.2910377 0.3672009 0.4929719 0.7034328 0.7376737 0.9014547
#> 13 0.2939361 0.3591649 0.4506924 0.6368009 0.7503609 0.7288239 0.8647391
#> 14 0.2861072 0.3485842 0.4555242 0.5538857 0.8009004 0.7031815 0.7101187
#> 15 0.3534997 0.3915111 0.4580040 0.6272694 0.9713057 0.8564499 1.0754295
#> 16 0.5253524 0.5170846 0.6224228 0.7827737 1.2572730 1.0335494 1.2734402
#> 17 0.5605095 0.5859553 0.6563430 0.7959743 1.3592485 1.1617500 1.4727733
#> 18 0.6157756 0.5632911 0.6886988 0.8578474 1.4651865 1.6037088 1.6177968
#> 19 0.7519571 0.4948192 0.5703986 0.6262833 1.1043396 1.2484041 1.3650412
#> 20 0.8859469 0.5784236 0.5362239 0.6411685 0.8273254 0.8451255 1.0142592
#> year
#> age 36 37 38 39 40 41 42
#> 1 0.6328479 0.5441141 0.6583191 0.6205817 0.5735396 0.7348272 0.8125496
#> 2 0.5651472 0.5777616 0.5720654 0.5409956 0.5338104 0.5150901 0.6534625
#> 3 0.5850210 0.6745858 0.6574840 0.6579521 0.6018928 0.6138368 0.6547678
#> 4 0.8057259 0.7836150 0.7250713 0.5654419 0.4816331 0.4445836 0.5116840
#> 5 0.5999952 0.6741883 0.6809912 0.6120163 0.5527691 0.5205703 0.6353119
#> 6 0.5193870 0.5741184 0.5647069 0.6067169 0.5643468 0.4725213 0.5110021
#> 7 0.4126926 0.4292353 0.3775241 0.4376095 0.4393396 0.4357427 0.4279563
#> 8 0.3233391 0.3886558 0.3404247 0.4252567 0.4480494 0.3682096 0.3739982
#> 9 0.4048940 0.5329134 0.3925067 0.4602352 0.4968403 0.3554172 0.3814167
#> 10 0.5480223 0.6370312 0.5370551 0.5884080 0.6290795 0.3967262 0.3880097
#> 11 0.6593725 0.6873435 0.5452457 0.5821174 0.6022945 0.4312309 0.3504658
#> 12 0.7247121 0.6354577 0.4746759 0.5967175 0.6049105 0.4670655 0.3787344
#> 13 0.6632364 0.6218860 0.4129483 0.4611413 0.5291964 0.4217883 0.3242549
#> 14 0.5521757 0.5381187 0.3774309 0.4299199 0.4713395 0.3693782 0.3515190
#> 15 0.9717981 0.8650833 0.5690523 0.6632276 0.8306909 0.6651655 0.6516835
#> 16 1.2048597 1.0054243 0.6088258 0.7146213 0.7901468 0.6759254 0.6206543
#> 17 1.5628822 1.3755107 0.7962594 0.8129360 0.8705509 0.8602289 0.7059921
#> 18 1.6731047 1.2777308 0.7179262 0.8241228 0.6307354 0.6560158 0.5082507
#> 19 1.4699840 1.4239759 0.8499711 0.8243082 0.7219290 0.9313363 0.7232214
#> 20 1.3162099 1.1197542 0.6895273 0.6831108 0.6455441 0.6729819 0.6125368
#> year
#> age 43 44 45 46 47 48 49
#> 1 0.7304381 0.7135619 0.7710489 0.7619083 0.7772613 0.8518333 0.4248594
#> 2 0.6425948 0.7359640 0.8081255 0.7828671 0.8379667 0.8944388 0.4668725
#> 3 0.5824488 0.6054824 0.6520387 0.6618026 0.9027156 1.0353142 0.5408883
#> 4 0.3874296 0.4347172 0.5009029 0.5255448 0.7951553 1.0425939 0.5702945
#> 5 0.5235647 0.5178684 0.6628641 0.7471743 1.0919475 1.4098685 0.6834212
#> 6 0.3832872 0.3789039 0.4211215 0.5297504 0.6568366 0.8574616 0.4409471
#> 7 0.3373523 0.3397523 0.3527838 0.4582714 0.5754117 0.7012999 0.3675954
#> 8 0.2592986 0.2755219 0.3702164 0.4604685 0.6289924 0.8291558 0.4201883
#> 9 0.2682951 0.3041835 0.3423271 0.4066257 0.6336251 0.7443201 0.4689166
#> 10 0.2264190 0.2483993 0.2567061 0.3140915 0.4859283 0.5119531 0.3245828
#> 11 0.2279314 0.2333077 0.2578829 0.3048300 0.3838565 0.4611905 0.2884849
#> 12 0.2902556 0.2727137 0.3003121 0.3115621 0.4098928 0.4373436 0.2487106
#> 13 0.2754911 0.2621949 0.2360458 0.2820094 0.3485716 0.3325946 0.1833856
#> 14 0.3014473 0.2433963 0.2599199 0.2793758 0.2934576 0.3053214 0.1667298
#> 15 0.5557950 0.4412090 0.4588856 0.4694703 0.5089335 0.5114771 0.2844775
#> 16 0.5271008 0.4457838 0.4531257 0.4944577 0.6240327 0.6993906 0.3723668
#> 17 0.6382121 0.5473930 0.5732837 0.6595838 0.7899736 0.6373939 0.3649594
#> 18 0.4495676 0.3900319 0.3842358 0.4765518 0.6475808 0.5329805 0.3533992
#> 19 0.6263152 0.4801673 0.5110740 0.6816599 0.9342217 0.8457401 0.5601873
#> 20 0.4147901 0.3632505 0.4296690 0.4626102 0.6425719 0.6678811 0.4475386
#> year
#> age 50 51 52 53 54 55 56
#> 1 0.3820246 0.4177669 0.3909136 0.4370890 0.4529986 0.4772958 0.6312109
#> 2 0.4288665 0.4705155 0.4661365 0.5344038 0.5335553 0.5237332 0.5982897
#> 3 0.4135341 0.4037472 0.3913374 0.4754009 0.5197383 0.4666767 0.4133702
#> 4 0.5065698 0.4938786 0.4427516 0.5682466 0.6857105 0.5469360 0.4860292
#> 5 0.5836394 0.4201645 0.3634296 0.4005093 0.4820660 0.3909363 0.3557564
#> 6 0.4032381 0.3112046 0.3281328 0.3962449 0.5600244 0.4149861 0.3646419
#> 7 0.3292937 0.3145335 0.3706518 0.4205007 0.5887665 0.4533883 0.3664504
#> 8 0.4050471 0.3689785 0.4741955 0.5077828 0.6954346 0.4456319 0.3542514
#> 9 0.3969531 0.3819709 0.4013804 0.4372288 0.5311701 0.3808695 0.2495933
#> 10 0.3177998 0.3245472 0.3098078 0.3814261 0.3922257 0.3078079 0.2101474
#> 11 0.2853316 0.3192210 0.2973045 0.3243828 0.3308496 0.2254268 0.1942267
#> 12 0.2380983 0.2927444 0.2934382 0.3592690 0.3427735 0.2518148 0.2136168
#> 13 0.1684611 0.1812445 0.2041024 0.2564158 0.2290942 0.1843115 0.1912859
#> 14 0.1649250 0.1876753 0.2148061 0.2752715 0.2526728 0.1810913 0.1813938
#> 15 0.2887178 0.2824529 0.2884370 0.3756408 0.3458341 0.2710424 0.2488925
#> 16 0.3938319 0.3388139 0.3439062 0.4119798 0.4840529 0.3828260 0.3269451
#> 17 0.3377587 0.2707468 0.2719815 0.3820330 0.5180885 0.4136709 0.3261651
#> 18 0.3669156 0.2905452 0.3022250 0.3525320 0.4737203 0.3696788 0.2968859
#> 19 0.5632329 0.4162796 0.4404950 0.4564567 0.5955235 0.4336918 0.3882808
#> 20 0.4485225 0.3728704 0.3340501 0.3438104 0.4684811 0.3312955 0.2893259
#> year
#> age 57 58 59 60 61 62 63
#> 1 0.6730182 1.0734052 0.8587125 0.6434979 0.6973383 0.4720752 0.5110696
#> 2 0.5634815 0.9439483 0.8116481 0.7188798 0.7568263 0.4981535 0.4843903
#> 3 0.4423924 0.7987453 0.7212267 0.6834292 0.6854024 0.4999740 0.4440281
#> 4 0.5150265 0.8751666 0.8403688 0.9164861 0.8182535 0.5540979 0.4696416
#> 5 0.4047493 0.6888529 0.6787477 0.6508328 0.6084285 0.4172185 0.3622444
#> 6 0.4381576 0.6062335 0.5500208 0.5529458 0.5805495 0.4001810 0.3991886
#> 7 0.4143891 0.5995742 0.4959037 0.4541547 0.5923347 0.5194015 0.5917302
#> 8 0.3583142 0.5149080 0.4301646 0.4915448 0.6183636 0.5954749 0.7407489
#> 9 0.2690691 0.4038745 0.4019741 0.4639770 0.6476037 0.7061788 0.8672095
#> 10 0.2128635 0.3231184 0.3228027 0.3700789 0.4748122 0.4988493 0.5514589
#> 11 0.2017455 0.2700340 0.2886099 0.3492837 0.3982954 0.4881608 0.5945014
#> 12 0.2110709 0.2741067 0.3008710 0.3184517 0.3817377 0.4294578 0.4745336
#> 13 0.1982415 0.2669315 0.3237192 0.3603029 0.4065061 0.4459140 0.4835125
#> 14 0.1952007 0.2827545 0.3387355 0.3576305 0.3610621 0.3821745 0.4189428
#> 15 0.3015808 0.4309607 0.4592873 0.5858832 0.6240133 0.5925415 0.5179756
#> 16 0.4752509 0.5992070 0.5545020 0.7416031 0.7328639 0.5114234 0.4555785
#> 17 0.4555894 0.5497270 0.5157097 0.7167697 0.7759437 0.5884389 0.5449656
#> 18 0.4016353 0.5895705 0.5680166 0.7662673 0.7744234 0.4725706 0.4251372
#> 19 0.5160738 0.7124468 0.6446604 0.6707403 0.7256693 0.5026773 0.4256671
#> 20 0.3988691 0.5356073 0.5395949 0.5734202 0.6011764 0.4340742 0.4456245
#> year
#> age 64 65 66 67 68 69 70
#> 1 0.6818247 0.6967194 0.6284425 0.6208301 0.7743833 0.6039860 0.7882991
#> 2 0.6399746 0.6948413 0.5701657 0.6261075 0.7238357 0.5053141 0.6626190
#> 3 0.5611571 0.6345028 0.5755022 0.6578461 0.6786578 0.5056584 0.6707039
#> 4 0.5679753 0.7448626 0.6692961 0.8128169 0.7716597 0.5758563 0.7538548
#> 5 0.4151013 0.5602946 0.5024916 0.6660712 0.7135476 0.5132772 0.6930657
#> 6 0.4313157 0.6241945 0.5852491 0.8633488 0.8754509 0.5790201 0.6421578
#> 7 0.5537177 0.6913495 0.6149094 0.9881442 0.9235746 0.5999333 0.7146801
#> 8 0.5581708 0.6463152 0.6646529 0.9628306 0.8574344 0.6250553 0.8673059
#> 9 0.7099395 0.6337068 0.6115803 0.8564490 0.6670201 0.4701620 0.6688121
#> 10 0.4867049 0.4964780 0.5101165 0.6102984 0.5435413 0.4265265 0.7231546
#> 11 0.4493078 0.4526981 0.5550740 0.7016124 0.5448917 0.4955612 0.7299584
#> 12 0.3942747 0.3527415 0.4560174 0.5629745 0.4657874 0.4212119 0.6791635
#> 13 0.3646675 0.3038575 0.4782061 0.6276715 0.4284672 0.4241072 0.6592810
#> 14 0.3471663 0.3305951 0.4655174 0.6141446 0.4035980 0.4275716 0.6383396
#> 15 0.4617508 0.4115279 0.5286762 0.6726154 0.5488904 0.5085749 0.7076704
#> 16 0.3726803 0.3492631 0.4447545 0.5554234 0.4689493 0.3724421 0.5356384
#> 17 0.4399234 0.3752675 0.4571418 0.5484572 0.5229693 0.4498223 0.5442292
#> 18 0.3507343 0.2959586 0.3889802 0.4392024 0.4633601 0.4305773 0.5757406
#> 19 0.3855347 0.2697651 0.3379602 0.3967108 0.3893390 0.3621849 0.4358497
#> 20 0.3632302 0.2432076 0.2875945 0.3659779 0.3951353 0.3628529 0.4323923
#> year
#> age 71 72 73 74 75 76 77
#> 1 0.6982268 0.9369382 0.7691285 0.5251509 0.5971100 0.6168254 0.5189331
#> 2 0.6180738 0.8559323 0.6714747 0.5319164 0.6607542 0.6148786 0.5266743
#> 3 0.7474365 0.8054558 0.5706098 0.5156469 0.5532650 0.6353236 0.5783503
#> 4 0.9717199 1.0100737 0.8506098 0.8094882 0.7104487 0.7547721 0.7748557
#> 5 0.9242725 0.7347500 0.5843377 0.6656090 0.5386079 0.5979877 0.6198777
#> 6 0.9442688 0.6900541 0.5126230 0.5186519 0.3490105 0.3984083 0.3655627
#> 7 0.9659766 0.7016483 0.5086028 0.4781978 0.3603260 0.4305864 0.4633530
#> 8 1.2356101 0.8117340 0.5506082 0.5811928 0.4040953 0.5128232 0.5046537
#> 9 0.9302543 0.5930589 0.4156546 0.4453831 0.3443224 0.3593201 0.3542130
#> 10 0.8326775 0.5439976 0.3560627 0.4010128 0.3160105 0.3262109 0.3927053
#> 11 0.8204400 0.5887767 0.4506037 0.4329767 0.3726831 0.3779896 0.4169292
#> 12 0.8696397 0.7285012 0.5612314 0.4753732 0.3897496 0.3520867 0.4083796
#> 13 0.7727798 0.6969765 0.6778991 0.6662542 0.5589675 0.4526462 0.5612197
#> 14 0.6008672 0.6015869 0.5724785 0.4978314 0.4796949 0.4251973 0.5166932
#> 15 0.6391816 0.6217080 0.5957200 0.4111730 0.4173793 0.3747028 0.3762330
#> 16 0.4483490 0.3963298 0.4229915 0.2983744 0.3609311 0.3664407 0.3452320
#> 17 0.4791013 0.4890757 0.5464464 0.3966409 0.4373869 0.4030370 0.3519154
#> 18 0.5982901 0.6959872 0.7374815 0.5810631 0.5687486 0.5345529 0.4735908
#> 19 0.4366821 0.5451874 0.5801153 0.5185603 0.4363169 0.3514407 0.3659161
#> 20 0.5816297 0.8503073 0.9186529 0.7517893 0.6820263 0.5057389 0.4915660
#> year
#> age 78 79 80 81 82 83 84
#> 1 0.3890220 0.4950763 0.4158046 0.2919393 0.4372420 0.4320392 0.5542895
#> 2 0.3110907 0.3476383 0.3198028 0.2384558 0.3951692 0.4742228 0.7079445
#> 3 0.3436001 0.3492533 0.3742274 0.3350848 0.5333818 0.5994286 0.7831423
#> 4 0.4994368 0.5256600 0.4913230 0.4381683 0.7095034 0.7102844 0.8320615
#> 5 0.3792397 0.3881314 0.3201239 0.3071683 0.4852059 0.5579567 0.6153398
#> 6 0.2621282 0.3013966 0.2671851 0.3231858 0.4813223 0.5173162 0.5555929
#> 7 0.2490415 0.2817628 0.2274767 0.2508831 0.3353359 0.3855433 0.4791689
#> 8 0.3536156 0.3755507 0.2657440 0.3138425 0.4118250 0.4824784 0.5950814
#> 9 0.2475021 0.2439995 0.1961813 0.2443979 0.2988463 0.3257280 0.4274540
#> 10 0.2878555 0.2752228 0.1999671 0.1976071 0.2254791 0.2562078 0.2901387
#> 11 0.3146699 0.3514178 0.2302190 0.2320707 0.2428099 0.3132788 0.3193898
#> 12 0.2918310 0.3639193 0.2786569 0.2892498 0.2973613 0.3925538 0.3864414
#> 13 0.4604142 0.5909475 0.4726242 0.4446904 0.4774931 0.6963049 0.6478870
#> 14 0.4586678 0.5700183 0.5089767 0.5878328 0.5541001 0.9167196 0.8132875
#> 15 0.3391428 0.5033450 0.4233431 0.5320617 0.5043220 0.7969205 0.7003733
#> 16 0.2953617 0.4981170 0.4010745 0.5686320 0.5631096 0.8690219 0.7108045
#> 17 0.2655580 0.4719885 0.4776210 0.6489265 0.6674409 0.8820348 0.6839316
#> 18 0.3842995 0.5710106 0.5949462 0.7389773 0.6890458 0.9112579 0.8230752
#> 19 0.2957171 0.4173018 0.4231025 0.4670847 0.4302093 0.6198717 0.6068239
#> 20 0.4806692 0.6963066 0.6761812 0.8458776 0.7775108 0.9720403 0.8125943
#> year
#> age 85 86 87 88 89 90 91
#> 1 0.4850726 0.7549037 0.5794970 0.6672714 0.4969668 0.4574418 0.4287676
#> 2 0.5899797 1.0582193 1.0427761 1.0612873 0.8361832 0.7870317 0.7762743
#> 3 0.6923930 1.1049985 1.1205989 1.0385002 0.8246279 0.8714885 0.7639772
#> 4 0.6237105 1.0279053 1.1325985 1.1080662 0.9562849 0.8449244 0.8283878
#> 5 0.4648035 0.7026592 0.7210411 0.6847421 0.5615349 0.5146674 0.5164630
#> 6 0.3577270 0.5595766 0.5217572 0.5239434 0.4378278 0.5470895 0.5639168
#> 7 0.3048642 0.4535198 0.4807246 0.4404145 0.3537413 0.5065744 0.4478889
#> 8 0.3397961 0.5381406 0.5316290 0.5243120 0.5655712 0.7542422 0.6528524
#> 9 0.2734959 0.4876782 0.4805040 0.4736278 0.4797847 0.6247083 0.6431860
#> 10 0.1883501 0.2252350 0.1846061 0.1992198 0.2450149 0.3253195 0.3419487
#> 11 0.1913127 0.2634631 0.2427307 0.2446027 0.2891946 0.3277265 0.3939950
#> 12 0.2896841 0.4318711 0.3880885 0.3417839 0.4375614 0.4513386 0.5317129
#> 13 0.5045571 0.7439634 0.6352905 0.5761596 0.6430181 0.5682820 0.6413834
#> 14 0.7363478 1.0385147 0.8324548 0.7312563 0.7988329 0.7733840 0.7358698
#> 15 0.7139208 0.9323738 0.7424487 0.5720599 0.6159852 0.6654051 0.6963168
#> 16 0.7209939 0.9965355 0.7339484 0.6132328 0.6794256 0.7747434 0.6543643
#> 17 0.6030572 0.8300479 0.6616620 0.7203298 0.7356931 0.7430436 0.6934816
#> 18 0.5961713 0.8640248 0.7861357 0.8985724 0.7577459 0.7872389 0.7786519
#> 19 0.4361365 0.7055914 0.6909695 0.7347965 0.6637837 0.6505832 0.6742694
#> 20 0.5771342 0.9004454 0.8935805 0.8163182 0.9476502 0.7857349 0.7083354
#> year
#> age 92 93 94 95 96 97 98
#> 1 0.4075760 0.6493210 0.6643563 0.9116843 0.9041817 0.7203517 0.6269533
#> 2 0.6712557 0.9512975 0.8255430 1.1538380 1.0388028 0.9022671 0.8120410
#> 3 0.7165799 1.0253481 1.1070687 1.4358705 1.4840977 1.5769202 1.5088068
#> 4 0.7710243 1.2556606 1.2111196 1.5024698 1.4281004 1.5151755 1.3465825
#> 5 0.4643775 0.7067498 0.7049023 0.8354262 0.9304820 1.0906362 0.9949356
#> 6 0.4860944 0.7042159 0.6824925 0.8899630 1.0215830 1.2143370 1.0613366
#> 7 0.3689595 0.5107402 0.4496292 0.5551500 0.7347060 0.9318736 0.8933011
#> 8 0.5450780 0.6733677 0.6136751 0.7287720 1.0369893 1.1248748 1.0678729
#> 9 0.5881594 0.7511052 0.6751093 0.8163167 1.2101541 1.4181308 1.2583709
#> 10 0.3335372 0.4149729 0.4147358 0.4922657 0.7160259 0.7207233 0.7193070
#> 11 0.3465230 0.4043882 0.3593931 0.4225313 0.5980049 0.5784910 0.5172702
#> 12 0.4427534 0.5661175 0.4727876 0.5618254 0.6370053 0.5880432 0.5026281
#> 13 0.5192743 0.6680813 0.5696366 0.6916519 0.8185350 0.7320768 0.5254898
#> 14 0.6672770 1.0609642 0.8915893 0.8750855 0.9301417 0.9915298 0.6528008
#> 15 0.6047951 1.0089843 0.8352023 0.9325036 0.9642463 1.0987601 0.7266990
#> 16 0.6576453 1.0019942 0.7876334 1.0293078 1.0865601 1.1601592 0.7541615
#> 17 0.6277976 0.9748693 0.7545648 0.9133710 1.0320295 1.1634571 0.6302262
#> 18 0.7454032 1.1695668 0.9887346 1.1132248 1.2022672 1.4323724 0.9258906
#> 19 0.6300054 1.0943345 0.7779690 0.9158421 0.9387574 1.0929278 0.8338567
#> 20 0.7024985 1.0603976 0.8285105 0.8222749 0.8963068 1.0131173 0.8376623
#> year
#> age 99 100
#> 1 0.6846133 0.5004884
#> 2 0.8709653 0.7054961
#> 3 1.6125862 1.3161082
#> 4 1.6083331 1.1482687
#> 5 1.2538544 0.8998141
#> 6 1.2635798 0.7894608
#> 7 0.8136681 0.4348085
#> 8 1.0846087 0.5711395
#> 9 1.1438320 0.6715002
#> 10 0.6944128 0.5404007
#> 11 0.6129037 0.4987419
#> 12 0.6069614 0.5179124
#> 13 0.6527283 0.5243793
#> 14 0.7281853 0.5541172
#> 15 0.9148708 0.6459969
#> 16 0.8823530 0.6557238
#> 17 0.7110087 0.6057694
#> 18 0.9717962 0.7495283
#> 19 0.8792623 0.5958647
#> 20 0.8408633 0.6704311
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 7
#> 47072251.9 23421092.3 15148970.7 7584122.4 3783118.5 1349607.7 955630.2
#> 8 9 10 11 12 13 14
#> 1242453.1 1622813.1 2722408.3 2208204.8 483274.9 588885.6 703614.9
#> 15 16 17 18 19 20
#> 611095.9 337772.9 161021.3 172790.1 146832.4 154902.8
#>
#> $N0
#> [1] 4.707225e+07 2.649289e+07 1.509063e+07 9.202874e+06 5.724513e+06
#> [6] 3.775842e+06 2.423930e+06 1.499983e+06 8.652495e+05 4.004750e+05
#> [11] 1.899853e+05 8.614154e+04 3.790188e+04 1.792216e+04 7.730500e+03
#> [16] 3.747799e+03 1.850929e+03 9.175778e+02 4.957783e+02 2.964444e+02
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.5748074 0.6101493 0.4900236 0.6824447 0.5446304 0.6145913 0.5358967
#> 2 0.5628026 0.5502819 0.4108164 0.5174686 0.4997932 0.4992785 0.4817428
#> 3 0.4945578 0.5385467 0.3976465 0.4235341 0.4364777 0.4578461 0.4744777
#> 4 0.4747583 0.5564703 0.3589648 0.4243826 0.4198993 0.5219541 0.5222746
#> 5 0.4161342 0.5784570 0.4280740 0.4799519 0.4659340 0.5648706 0.6193471
#> 6 0.4432333 0.6984173 0.4672711 0.5092105 0.5378432 0.5243711 0.4252564
#> 7 0.4799364 0.7917839 0.5518889 0.5916240 0.4608255 0.4838696 0.5477530
#> 8 0.5501910 0.8476638 0.5289744 0.5951545 0.4594406 0.5493664 0.5354141
#> 9 0.7703667 0.9387894 0.5341696 0.5821154 0.4529082 0.5105888 0.5288861
#> 10 0.7457047 0.9073281 0.5193005 0.5936940 0.4543902 0.4710839 0.6323664
#> 11 0.7909547 0.9533435 0.4312892 0.4648717 0.3599974 0.3694080 0.5620695
#> 12 0.8209912 0.8777598 0.3705243 0.4549527 0.3279515 0.3776206 0.5155407
#> 13 0.7489626 0.7670753 0.3909161 0.4975303 0.3411938 0.5033170 0.5382582
#> 14 0.8408645 0.9313414 0.4733563 0.5528316 0.3403947 0.4534131 0.5126400
#> 15 0.7240048 0.8852749 0.4983830 0.5575112 0.3495485 0.4825850 0.6127606
#> 16 0.7054811 0.7720635 0.4618403 0.5870024 0.4026418 0.4527550 0.5567369
#> 17 0.7017055 0.6536273 0.4222476 0.5621360 0.3648155 0.4617184 0.5269245
#> 18 0.6156086 0.7803262 0.5238145 0.6374115 0.4475513 0.4896179 0.5627301
#> 19 0.5142691 0.6494991 0.5130641 0.6560658 0.4782253 0.5240995 0.4907768
#> 20 0.5160349 0.5754462 0.5625274 0.5746281 0.5470485 0.4841243 0.5008235
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.5545819 0.6888592 0.6471234 0.4321660 0.8174827 0.6081249 0.4650711
#> 2 0.5204931 0.6271579 0.5526219 0.3743341 0.7470998 0.5360622 0.4327460
#> 3 0.5267520 0.5202777 0.4986328 0.3397300 0.6323708 0.5330063 0.4657424
#> 4 0.5521270 0.5577740 0.5227789 0.3806913 0.7080547 0.6202302 0.4814359
#> 5 0.6145646 0.5343404 0.5434024 0.3703327 0.6520694 0.5600333 0.4892877
#> 6 0.5271065 0.4484579 0.4658322 0.3545898 0.6087084 0.5924947 0.5561804
#> 7 0.6137063 0.4951844 0.4403926 0.3922536 0.6197928 0.6627114 0.5681920
#> 8 0.5632011 0.5738271 0.4789644 0.3763147 0.6734286 0.6916709 0.7194774
#> 9 0.5868969 0.5937648 0.5524769 0.4711383 0.6065863 0.7179925 0.7160355
#> 10 0.6103345 0.6447920 0.5436845 0.5355962 0.7755248 0.7710268 0.8298199
#> 11 0.6053565 0.7146182 0.5082780 0.5824419 0.8134482 0.8665989 0.7273949
#> 12 0.6531248 0.7669924 0.4653845 0.4976173 0.6392562 0.6825103 0.7168786
#> 13 0.7070759 0.8090527 0.4740480 0.4465732 0.5968613 0.6453875 0.6450330
#> 14 0.6036376 0.8948690 0.5929627 0.4696371 0.6573772 0.6335433 0.6154069
#> 15 0.6133608 0.8637637 0.5523914 0.4754027 0.6309157 0.6291739 0.6293157
#> 16 0.5576018 0.6495736 0.5015732 0.4410016 0.6128682 0.5771550 0.6534257
#> 17 0.5494547 0.6846399 0.4602315 0.4649208 0.5545475 0.5806371 0.6413796
#> 18 0.4045451 0.5120504 0.3429834 0.4356690 0.5478545 0.5846263 0.7347866
#> 19 0.4104449 0.4591951 0.3085560 0.4159227 0.4815678 0.5289049 0.7097832
#> 20 0.3777438 0.4182347 0.2935862 0.4364247 0.5098086 0.5753773 0.7440738
#> year
#> age 15 16 17 18 19 20
#> 1 0.5224720 0.6169261 1.1692368 0.7289217 0.5399571 0.4346989
#> 2 0.5066788 0.5980876 1.0970010 0.8080204 0.4647781 0.3685779
#> 3 0.4516606 0.5439985 0.8668971 0.7900051 0.5599213 0.4214038
#> 4 0.4340801 0.4945019 0.8653325 0.8212027 0.6841504 0.5001428
#> 5 0.4385539 0.4792074 0.7390077 0.7496334 0.5710106 0.4963106
#> 6 0.4421321 0.4916279 0.7512045 0.7782705 0.5860701 0.5991407
#> 7 0.4969006 0.4994762 0.6721284 0.7154610 0.7484711 0.6154763
#> 8 0.6008845 0.5411950 0.6583093 0.7129997 0.6566751 0.5126752
#> 9 0.6608094 0.5231582 0.5899920 0.7235856 0.6607839 0.6334012
#> 10 0.6518512 0.5362521 0.7833386 0.7658748 0.6018938 0.5161837
#> 11 0.6604871 0.5189976 0.7243040 0.8584511 0.6887114 0.5395538
#> 12 0.6682887 0.5862714 0.7056723 0.9170709 0.7401608 0.5118257
#> 13 0.7134675 0.5449910 0.7756303 0.7919310 0.6044670 0.6893052
#> 14 0.7626254 0.5640092 0.8580076 0.7797651 0.5386958 0.7218331
#> 15 0.6816698 0.4710069 0.6480713 0.5331167 0.4758826 0.6112000
#> 16 0.6709945 0.4451729 0.7022504 0.5723216 0.4083477 0.5485051
#> 17 0.7570141 0.4543322 0.6593444 0.4650894 0.3594122 0.4581282
#> 18 0.8515090 0.5195030 0.5615435 0.4307460 0.2967996 0.3401785
#> 19 0.7580164 0.5467018 0.6151598 0.4057479 0.2859782 0.3121463
#> 20 0.7416680 0.5386845 0.5847787 0.3686638 0.2961898 0.3294615
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 4.707225e+07 2.342109e+07 1.514897e+07 7.584122e+06 3783118.5011
#> 2 2.649289e+07 2.649289e+07 1.272397e+07 9.280440e+06 3832863.7102
#> 3 1.509063e+07 1.509063e+07 1.528076e+07 8.437376e+06 5531396.5595
#> 4 9.202874e+06 9.202874e+06 8.806825e+06 1.026713e+07 5524193.4164
#> 5 5.724513e+06 5.724513e+06 5.275353e+06 6.150678e+06 6716487.7633
#> 6 3.775842e+06 3.775842e+06 3.210095e+06 3.438281e+06 3806120.3100
#> 7 2.423930e+06 2.423930e+06 1.877997e+06 2.011799e+06 2066303.1225
#> 8 1.499983e+06 1.499983e+06 1.098127e+06 1.081466e+06 1113385.5985
#> 9 8.652495e+05 8.652495e+05 6.426146e+05 6.470264e+05 596403.7852
#> 10 4.004750e+05 4.004750e+05 3.384000e+05 3.766723e+05 361503.4762
#> 11 1.899853e+05 1.899853e+05 1.616322e+05 2.013265e+05 208029.8268
#> 12 8.614154e+04 8.614154e+04 7.322984e+04 1.050077e+05 126476.4724
#> 13 3.790188e+04 3.790188e+04 3.581017e+04 5.055585e+04 66625.0973
#> 14 1.792216e+04 1.792216e+04 1.760046e+04 2.422332e+04 30739.4979
#> 15 7.730500e+03 7.730500e+03 7.061776e+03 1.096347e+04 13936.1239
#> 16 3.747799e+03 3.747799e+03 3.189610e+03 4.290115e+03 6278.0396
#> 17 1.850929e+03 1.850929e+03 1.731703e+03 2.009847e+03 2385.2673
#> 18 9.175778e+02 9.175778e+02 9.627710e+02 1.135255e+03 1145.5929
#> 19 4.957783e+02 4.957783e+02 4.204860e+02 5.702080e+02 600.1631
#> 20 2.964444e+02 2.964444e+02 2.589486e+02 2.517275e+02 295.8745
#> year
#> age 6 7 8 9 10
#> 1 1349607.7463 955630.2425 1242453.0714 1622813.1141 2722408.267
#> 2 2194420.9852 729951.4363 559181.6660 713556.0900 814893.305
#> 3 2325230.1266 1331944.2864 450895.3313 332281.0928 381115.772
#> 4 3574990.9040 1471044.7607 828748.9646 266262.6627 197493.079
#> 5 3630019.2729 2121256.3367 872579.3004 477130.6308 152430.582
#> 6 4214923.0553 2063425.2236 1141863.3292 471957.4897 279625.149
#> 7 2222798.8951 2494928.8815 1348659.1845 674053.9936 301397.809
#> 8 1303346.9680 1370118.9177 1442686.8012 730084.2103 410807.958
#> 9 703255.3801 752442.3618 802104.3888 821442.0169 411304.059
#> 10 379179.5083 422053.1490 443384.9408 446010.2013 453636.660
#> 11 229495.0546 236731.3169 224250.7445 240833.0248 234053.533
#> 12 145137.8607 158613.9823 134943.5249 122413.9489 117858.605
#> 13 91113.3967 99490.6300 94720.7186 70226.9107 56849.984
#> 14 47365.1892 55080.0657 58079.0634 46705.2617 31270.615
#> 15 21870.8289 30098.4728 32988.1321 31758.7313 19086.626
#> 16 9825.0559 13498.3671 16308.9463 17863.9928 13388.605
#> 17 4197.1932 6247.4967 7735.5907 9338.1862 9329.799
#> 18 1656.1501 2645.0703 3688.6347 4465.4820 4708.984
#> 19 732.2531 1014.9890 1506.7689 2461.3533 2676.010
#> 20 372.0306 433.5585 621.3262 999.5228 1555.063
#> year
#> age 11 12 13 14 15 16
#> 1 2208204.836 483274.937 588885.582 703614.930 611095.933 337772.9437
#> 2 1425315.970 1433349.276 213386.070 320572.042 441933.794 362412.0820
#> 3 468921.446 980256.967 679032.755 124840.993 207963.182 266262.1232
#> 4 231474.661 333854.487 520840.524 398482.300 78358.812 132383.1673
#> 5 117087.871 158187.195 164457.232 280118.778 246220.434 50765.5685
#> 6 88526.939 80849.709 82410.238 93936.335 171730.435 158804.4110
#> 7 175496.261 62098.203 43986.537 45568.422 53862.629 110365.0896
#> 8 194034.975 118553.474 33412.304 22672.941 25816.737 32770.7494
#> 9 254464.524 133182.941 60457.189 16730.834 11041.874 14155.9990
#> 10 236714.752 158859.973 72612.524 29486.810 8176.121 5702.3903
#> 11 263383.748 138553.936 73148.991 33586.042 12860.018 4260.4152
#> 12 140790.345 147108.463 61424.665 30750.292 16227.635 6643.4807
#> 13 74002.669 85597.368 77626.894 31040.759 15014.568 8318.0425
#> 14 35387.830 47348.161 47124.511 40712.145 16285.386 7356.2729
#> 15 17282.875 22125.502 24536.228 25009.354 22001.697 7596.1591
#> 16 10985.722 10743.635 11773.075 13078.594 13328.895 11127.8362
#> 17 8107.835 7068.122 5820.844 6610.506 6804.275 6813.7299
#> 18 5888.386 5093.219 4059.449 3257.005 3480.864 3191.6468
#> 19 3341.730 3808.796 2944.843 2262.388 1562.085 1485.5299
#> 20 1965.547 2204.644 2353.127 1735.249 1112.531 731.9853
#> year
#> age 17 18 19 20
#> 1 161021.3068 172790.144 146832.4445 154902.7964
#> 2 182262.4733 50013.849 83358.9588 85570.0201
#> 3 199276.6948 60852.126 22293.1529 52372.3064
#> 4 154544.5958 83746.736 27617.2806 12735.0529
#> 5 80737.1333 65049.606 36840.3781 13933.4337
#> 6 31437.7997 38559.051 30738.5241 20813.1261
#> 7 97129.5289 14832.289 17706.2974 17106.2969
#> 8 66974.8826 49596.342 7252.4946 8376.6598
#> 9 19074.2897 34674.634 24310.7204 3760.9454
#> 10 8389.4945 10573.484 16817.5468 12555.1819
#> 11 3335.5357 3832.976 4915.8984 9212.2026
#> 12 2535.4447 1616.607 1624.4845 2468.8762
#> 13 3696.4193 1251.943 646.1384 774.9395
#> 14 4823.1920 1701.881 567.0917 353.0277
#> 15 4185.1570 2045.063 780.3358 330.9030
#> 16 4742.8386 2189.062 1199.9882 484.8511
#> 17 7129.7546 2349.930 1235.0992 797.6894
#> 18 4325.8448 3687.440 1475.9413 862.2061
#> 19 1898.4429 2467.151 2396.9242 1096.9091
#> 20 859.9077 1026.212 1644.3020 1800.7589
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 2.860024e-55 1.423023e-55 9.204237e-56 4.607974e-56 2.298553e-56
#> 4 3.459174e-15 1.721133e-15 1.113244e-15 5.573304e-16 2.780080e-16
#> 7 2.531031e-01 1.259330e-01 8.145459e-02 4.077911e-02 2.034147e-02
#> 10 1.056584e+05 5.257098e+04 3.400338e+04 1.702332e+04 8.491587e+03
#> 13 1.264558e+07 6.291890e+06 4.069650e+06 2.037414e+06 1.016305e+06
#> 16 2.902700e+07 1.444454e+07 9.342202e+06 4.677476e+06 2.333104e+06
#> 19 5.657271e+06 3.064845e+06 1.899499e+06 1.005625e+06 4.866676e+05
#> 22 5.713253e+06 5.644269e+06 2.723006e+06 1.975691e+06 8.180732e+05
#> 25 1.172784e+07 1.172733e+07 5.676260e+06 4.125249e+06 1.714917e+06
#> 28 7.923146e+06 7.923145e+06 4.312972e+06 2.975516e+06 1.358274e+06
#> 31 5.095714e+06 5.095714e+06 4.300579e+06 2.534059e+06 1.519487e+06
#> 34 5.561582e+06 5.561582e+06 5.517361e+06 3.253289e+06 2.076123e+06
#> 37 4.864802e+06 4.864802e+06 4.850555e+06 3.398814e+06 2.084431e+06
#> 40 3.910327e+06 3.910327e+06 3.816927e+06 3.535320e+06 2.106108e+06
#> 43 3.437540e+06 3.437540e+06 3.287106e+06 3.594890e+06 2.311269e+06
#> 46 3.000020e+06 3.000020e+06 2.820822e+06 3.235680e+06 2.459680e+06
#> 49 2.564999e+06 2.564999e+06 2.363015e+06 2.718389e+06 2.461849e+06
#> 52 2.206332e+06 2.206332e+06 1.980791e+06 2.249217e+06 2.279445e+06
#> 55 1.897629e+06 1.897629e+06 1.652558e+06 1.840578e+06 1.956869e+06
#> 58 1.617294e+06 1.617294e+06 1.362518e+06 1.487340e+06 1.596960e+06
#> 61 1.360637e+06 1.360637e+06 1.109683e+06 1.189992e+06 1.267432e+06
#> 64 1.125290e+06 1.125290e+06 8.922801e+05 9.428706e+05 9.889880e+05
#> 67 9.106215e+05 9.106215e+05 7.072168e+05 7.391416e+05 7.620966e+05
#> 70 7.179354e+05 7.179354e+05 5.511816e+05 5.730511e+05 5.815048e+05
#> 73 5.494882e+05 5.494882e+05 4.210301e+05 4.390328e+05 4.401631e+05
#> 76 4.073578e+05 4.073578e+05 3.141352e+05 3.316542e+05 3.306560e+05
#> 79 2.923166e+05 2.923166e+05 2.283014e+05 2.462021e+05 2.461623e+05
#> 82 2.032005e+05 2.032005e+05 1.613625e+05 1.789483e+05 1.810338e+05
#> 85 1.370677e+05 1.370677e+05 1.108765e+05 1.269533e+05 1.309535e+05
#> 88 8.991043e+04 8.991043e+04 7.410889e+04 8.771961e+04 9.275355e+04
#> 91 5.747462e+04 5.747462e+04 4.823793e+04 5.895828e+04 6.407373e+04
#> 94 3.587219e+04 3.587219e+04 3.061781e+04 3.852746e+04 4.304027e+04
#> 97 2.189475e+04 2.189475e+04 1.897496e+04 2.447871e+04 2.806103e+04
#> 100 1.308475e+04 1.308475e+04 1.149420e+04 1.512775e+04 1.774152e+04
#> 103 7.663855e+03 7.663855e+03 6.811427e+03 9.099288e+03 1.087710e+04
#> 106 4.402336e+03 4.402336e+03 3.951256e+03 5.331293e+03 6.469982e+03
#> 109 2.481217e+03 2.481217e+03 2.244764e+03 3.045281e+03 3.737323e+03
#> 112 1.372432e+03 1.372432e+03 1.249355e+03 1.697371e+03 2.098852e+03
#> 115 7.450473e+02 7.450473e+02 6.813611e+02 9.239631e+02 1.147370e+03
#> 118 3.969286e+02 3.969286e+02 3.641738e+02 4.915977e+02 6.113165e+02
#> 121 2.074989e+02 2.074989e+02 1.907763e+02 2.558361e+02 3.178269e+02
#> 124 1.064213e+02 1.064213e+02 9.796308e+01 1.303166e+02 1.614232e+02
#> 127 5.354305e+01 5.354305e+01 4.931365e+01 6.501122e+01 8.017633e+01
#> 130 2.642562e+01 2.642562e+01 2.433892e+01 3.178146e+01 3.898077e+01
#> 133 1.279453e+01 1.279453e+01 1.178025e+01 1.523329e+01 1.856815e+01
#> 136 6.078237e+00 6.078237e+00 5.593070e+00 7.162802e+00 8.672949e+00
#> 139 2.834070e+00 2.834070e+00 2.605827e+00 3.305832e+00 3.975498e+00
#> 142 1.297455e+00 1.297455e+00 1.191880e+00 1.498422e+00 1.789684e+00
#> 145 5.834850e-01 5.834850e-01 5.354691e-01 6.674214e-01 7.918532e-01
#> 148 2.579064e-01 2.579064e-01 2.364288e-01 2.923113e-01 3.445979e-01
#> 151 1.121122e-01 1.121122e-01 1.026602e-01 1.259642e-01 1.476015e-01
#> 154 4.796056e-02 4.796056e-02 4.386580e-02 5.344278e-02 6.227087e-02
#> 157 2.020459e-02 2.020459e-02 1.845742e-02 2.233882e-02 2.589387e-02
#> 160 8.387870e-03 8.387870e-03 7.653175e-03 9.205625e-03 1.061997e-02
#> 163 3.433945e-03 3.433945e-03 3.129284e-03 3.742493e-03 4.298890e-03
#> 166 1.387327e-03 1.387327e-03 1.262663e-03 1.502017e-03 1.718627e-03
#> 169 5.534882e-04 5.534882e-04 5.031199e-04 5.955007e-04 6.790143e-04
#> 172 2.182110e-04 2.182110e-04 1.981044e-04 2.333814e-04 2.652900e-04
#> 175 8.506887e-05 8.506887e-05 7.713380e-05 9.046951e-05 1.025586e-04
#> 178 3.281484e-05 3.281484e-05 2.971697e-05 3.471039e-05 3.925456e-05
#> 181 1.253268e-05 1.253268e-05 1.133559e-05 1.318856e-05 1.488410e-05
#> 184 4.741875e-06 4.741875e-06 4.283739e-06 4.965520e-06 5.593805e-06
#> 187 1.778465e-06 1.778465e-06 1.604719e-06 1.853581e-06 2.084888e-06
#> 190 6.615488e-07 6.615488e-07 5.962195e-07 6.863789e-07 7.710201e-07
#> 193 2.441803e-07 2.441803e-07 2.198148e-07 2.522441e-07 2.830364e-07
#> 196 8.949497e-08 8.949497e-08 8.047410e-08 9.206678e-08 1.032129e-07
#> 199 3.257299e-08 3.257299e-08 2.925768e-08 3.337336e-08 3.738531e-08
#> 202 1.178401e-08 1.178401e-08 1.057345e-08 1.202708e-08 1.346516e-08
#> 205 4.234590e-09 4.234590e-09 3.795402e-09 4.304685e-09 4.816460e-09
#> 208 1.515034e-09 1.515034e-09 1.356569e-09 1.534649e-09 1.716595e-09
#> 211 5.408453e-10 5.408453e-10 4.839190e-10 5.465069e-10 6.115436e-10
#> 214 1.910504e-10 1.910504e-10 1.707081e-10 1.921201e-10 2.148717e-10
#> 217 6.774869e-11 6.774869e-11 6.049397e-11 6.812880e-11 7.628235e-11
#> 220 2.362958e-11 2.362958e-11 2.108300e-11 2.358770e-11 2.634610e-11
#> 223 8.162469e-12 8.162469e-12 7.277296e-12 8.103041e-12 9.000809e-12
#> 226 2.861477e-12 2.861477e-12 2.546447e-12 2.829008e-12 3.155954e-12
#> 229 8.815444e-13 8.815444e-13 7.823566e-13 8.543670e-13 9.521397e-13
#> 232 4.094281e-13 4.094281e-13 3.727501e-13 4.203344e-13 4.575413e-13
#> 235 1.208663e-13 1.208663e-13 1.041815e-13 1.192005e-13 1.323288e-13
#> 238 3.291194e-14 3.291194e-14 2.874907e-14 2.794736e-14 3.284867e-14
#> year
#> length 6 7 8 9 10
#> 1 8.199969e-57 5.806234e-57 7.548917e-57 9.859915e-57 1.654085e-56
#> 4 9.917791e-17 7.022590e-17 9.130349e-17 1.192548e-16 2.000602e-16
#> 7 7.256714e-03 5.138334e-03 6.680553e-03 8.725713e-03 1.463813e-02
#> 10 3.029329e+03 2.145007e+03 2.788810e+03 3.642566e+03 6.110717e+03
#> 13 3.625614e+05 2.567224e+05 3.337751e+05 4.359558e+05 7.313532e+05
#> 16 8.324456e+05 5.893157e+05 7.661350e+05 1.000674e+06 1.678660e+06
#> 19 1.891515e+05 1.184590e+05 1.466900e+05 1.912814e+05 3.137126e+05
#> 22 4.659041e+05 1.565122e+05 1.213281e+05 1.549079e+05 1.794427e+05
#> 25 9.772340e+05 3.281218e+05 2.482658e+05 3.154797e+05 3.603107e+05
#> 28 7.246095e+05 2.763236e+05 1.756943e+05 2.087240e+05 2.384521e+05
#> 31 6.793906e+05 3.547469e+05 1.404304e+05 1.203851e+05 1.374114e+05
#> 34 9.211270e+05 5.037760e+05 1.843681e+05 1.257323e+05 1.402266e+05
#> 37 1.043753e+06 5.228629e+05 2.209776e+05 1.173055e+05 1.184405e+05
#> 40 1.220587e+06 5.585807e+05 2.755305e+05 1.129954e+05 9.064559e+04
#> 43 1.408714e+06 6.542113e+05 3.291266e+05 1.307858e+05 7.987181e+04
#> 46 1.515481e+06 7.601298e+05 3.653331e+05 1.597990e+05 7.803004e+04
#> 49 1.599877e+06 8.611854e+05 4.073945e+05 1.910677e+05 8.471496e+04
#> 52 1.660347e+06 9.449507e+05 4.656676e+05 2.208607e+05 1.006884e+05
#> 55 1.638052e+06 1.005136e+06 5.330415e+05 2.526743e+05 1.223956e+05
#> 58 1.508516e+06 1.033693e+06 5.971063e+05 2.902854e+05 1.464013e+05
#> 61 1.300042e+06 1.012610e+06 6.425593e+05 3.305459e+05 1.712401e+05
#> 64 1.064258e+06 9.327242e+05 6.549282e+05 3.647966e+05 1.954799e+05
#> 67 8.420592e+05 8.069110e+05 6.270356e+05 3.834958e+05 2.158696e+05
#> 70 6.520508e+05 6.615300e+05 5.630154e+05 3.800926e+05 2.278220e+05
#> 73 4.974277e+05 5.208686e+05 4.762354e+05 3.536005e+05 2.274809e+05
#> 76 3.750013e+05 3.989743e+05 3.828041e+05 3.089548e+05 2.136575e+05
#> 79 2.798010e+05 3.001404e+05 2.955336e+05 2.547407e+05 1.884776e+05
#> 82 2.066591e+05 2.229043e+05 2.214193e+05 1.997224e+05 1.564933e+05
#> 85 1.508525e+05 1.636197e+05 1.623253e+05 1.502306e+05 1.229051e+05
#> 88 1.084643e+05 1.184844e+05 1.170219e+05 1.093631e+05 9.192670e+04
#> 91 7.648071e+04 8.433343e+04 8.307188e+04 7.759820e+04 6.598715e+04
#> 94 5.265261e+04 5.874908e+04 5.798026e+04 5.391499e+04 4.580595e+04
#> 97 3.525982e+04 3.989912e+04 3.965975e+04 3.675115e+04 3.095019e+04
#> 100 2.290887e+04 2.633672e+04 2.649005e+04 2.456784e+04 2.045181e+04
#> 103 1.441978e+04 1.686240e+04 1.722255e+04 1.607677e+04 1.325080e+04
#> 106 8.788945e+03 1.046112e+04 1.087418e+04 1.027373e+04 8.422448e+03
#> 109 5.188614e+03 6.286646e+03 6.658818e+03 6.396975e+03 5.247176e+03
#> 112 2.969179e+03 3.660800e+03 3.952565e+03 3.874227e+03 3.198662e+03
#> 115 1.648783e+03 2.067080e+03 2.274581e+03 2.279774e+03 1.904410e+03
#> 118 8.895711e+02 1.132880e+03 1.269761e+03 1.302867e+03 1.105628e+03
#> 121 4.669472e+02 6.033163e+02 6.882244e+02 7.231760e+02 6.252131e+02
#> 124 2.387862e+02 3.125830e+02 3.625726e+02 3.900616e+02 3.441599e+02
#> 127 1.191177e+02 1.577557e+02 1.858795e+02 2.045985e+02 1.843995e+02
#> 130 5.803880e+01 7.765076e+01 9.284853e+01 1.044651e+02 9.619556e+01
#> 133 2.765403e+01 3.732342e+01 4.524451e+01 5.197699e+01 4.888855e+01
#> 136 1.290009e+01 1.753935e+01 2.153473e+01 2.523043e+01 2.422551e+01
#> 139 5.897815e+00 8.067665e+00 1.002351e+01 1.196261e+01 1.171584e+01
#> 142 2.645452e+00 3.636407e+00 4.567891e+00 5.546660e+00 5.535664e+00
#> 145 1.165314e+00 1.607894e+00 2.040418e+00 2.517967e+00 2.558254e+00
#> 148 5.045729e-01 6.981576e-01 8.943416e-01 1.120416e+00 1.157671e+00
#> 151 2.149459e-01 2.979845e-01 3.850554e-01 4.892158e-01 5.135493e-01
#> 154 9.016289e-02 1.251388e-01 1.630100e-01 2.098352e-01 2.235700e-01
#> 157 3.727123e-02 5.175414e-02 6.791929e-02 8.850309e-02 9.561916e-02
#> 160 1.519520e-02 2.109752e-02 2.787779e-02 3.674235e-02 4.021852e-02
#> 163 6.114371e-03 8.484231e-03 1.128211e-02 1.502833e-02 1.665284e-02
#> 166 2.430091e-03 3.368478e-03 4.505582e-03 6.061466e-03 6.794290e-03
#> 169 9.545945e-04 1.321368e-03 1.776994e-03 2.412883e-03 2.733923e-03
#> 172 3.708761e-04 5.125034e-04 6.926668e-04 9.487183e-04 1.085897e-03
#> 175 1.426028e-04 1.966757e-04 2.670414e-04 3.687341e-04 4.260945e-04
#> 178 5.429775e-05 7.472582e-05 1.018935e-04 1.417687e-04 1.653005e-04
#> 181 2.048532e-05 2.812720e-05 3.850435e-05 5.395576e-05 6.344709e-05
#> 184 7.662162e-06 1.049480e-05 1.441905e-05 2.034083e-05 2.411122e-05
#> 187 2.842796e-06 3.883856e-06 5.354083e-06 7.600542e-06 9.077861e-06
#> 190 1.046751e-06 1.426341e-06 1.972400e-06 2.816556e-06 3.388228e-06
#> 193 3.826771e-07 5.200634e-07 7.212474e-07 1.035678e-06 1.254399e-06
#> 196 1.390011e-07 1.883885e-07 2.619524e-07 3.781139e-07 4.609327e-07
#> 199 5.016292e-08 6.780355e-08 9.451767e-08 1.371106e-07 1.681744e-07
#> 202 1.800417e-08 2.426849e-08 3.390640e-08 4.941303e-08 6.096347e-08
#> 205 6.417846e-09 8.628982e-09 1.208511e-08 1.769624e-08 2.195926e-08
#> 208 2.280302e-09 3.057496e-09 4.290133e-09 6.307427e-09 7.868299e-09
#> 211 8.105745e-10 1.083272e-09 1.520950e-09 2.241285e-09 2.807337e-09
#> 214 2.837940e-10 3.785894e-10 5.332258e-10 7.901562e-10 9.954818e-10
#> 217 1.006760e-10 1.339792e-10 1.883719e-10 2.790222e-10 3.519220e-10
#> 220 3.456987e-11 4.588107e-11 6.493606e-11 9.705489e-11 1.236270e-10
#> 223 1.172112e-11 1.549030e-11 2.205296e-11 3.332687e-11 4.296057e-11
#> 226 4.138318e-12 5.462671e-12 7.740466e-12 1.167629e-11 1.505062e-11
#> 229 1.211218e-12 1.562697e-12 2.251339e-12 3.475307e-12 4.646183e-12
#> 232 5.942846e-13 8.078426e-13 1.157977e-12 1.708114e-12 2.152876e-12
#> 235 1.639038e-13 2.089557e-13 3.052471e-13 4.952038e-13 6.423901e-13
#> 238 4.130369e-14 4.813467e-14 6.898107e-14 1.109693e-13 1.726467e-13
#> year
#> length 11 12 13 14 15
#> 1 1.341665e-56 2.936290e-57 3.577961e-57 4.275035e-57 3.712907e-57
#> 4 1.622732e-16 3.551417e-17 4.327512e-17 5.170618e-17 4.490729e-17
#> 7 1.187331e-02 2.598524e-03 3.166382e-03 3.783271e-03 3.285805e-03
#> 10 4.956536e+03 1.084759e+03 1.321812e+03 1.579334e+03 1.371666e+03
#> 13 5.932166e+05 1.298280e+05 1.581994e+05 1.890205e+05 1.641660e+05
#> 16 1.361712e+06 2.981829e+05 3.631174e+05 4.338713e+05 3.768455e+05
#> 19 2.688162e+05 7.989596e+04 6.855663e+04 8.314545e+04 7.528399e+04
#> 22 3.063924e+05 3.031029e+05 4.668497e+04 6.951722e+04 9.479177e+04
#> 25 6.290808e+05 6.353615e+05 9.750503e+04 1.415991e+05 1.953923e+05
#> 28 4.045787e+05 4.389759e+05 9.907160e+04 9.227655e+04 1.293932e+05
#> 31 1.947131e+05 3.124324e+05 1.702427e+05 4.965633e+04 7.469577e+04
#> 34 1.749777e+05 3.499354e+05 2.473043e+05 5.813769e+04 7.553170e+04
#> 37 1.440302e+05 2.804430e+05 2.318540e+05 8.341187e+04 6.165561e+04
#> 40 1.062452e+05 1.824649e+05 1.991513e+05 1.186897e+05 4.729354e+04
#> 43 8.604284e+04 1.301885e+05 1.733266e+05 1.381865e+05 5.188293e+04
#> 46 7.093745e+04 9.938934e+04 1.340202e+05 1.309952e+05 6.814522e+04
#> 49 5.958157e+04 7.619071e+04 9.390531e+04 1.109690e+05 8.181989e+04
#> 52 5.560342e+04 6.013840e+04 6.596777e+04 8.766750e+04 8.382445e+04
#> 55 5.956030e+04 5.044290e+04 4.876704e+04 6.500121e+04 7.472925e+04
#> 58 7.031011e+04 4.684424e+04 3.816510e+04 4.640921e+04 6.004597e+04
#> 61 8.562471e+04 4.923035e+04 3.219797e+04 3.330861e+04 4.475545e+04
#> 64 1.028590e+05 5.649855e+04 3.017029e+04 2.504681e+04 3.180916e+04
#> 67 1.195924e+05 6.660681e+04 3.149426e+04 2.049099e+04 2.233664e+04
#> 70 1.334843e+05 7.717528e+04 3.519072e+04 1.873024e+04 1.623564e+04
#> 73 1.420993e+05 8.598991e+04 3.992459e+04 1.898054e+04 1.286072e+04
#> 76 1.433919e+05 9.127338e+04 4.430774e+04 2.043022e+04 1.146830e+04
#> 79 1.365507e+05 9.188209e+04 4.718887e+04 2.224999e+04 1.135649e+04
#> 82 1.224853e+05 8.751147e+04 4.782295e+04 2.369420e+04 1.187907e+04
#> 85 1.035684e+05 7.878459e+04 4.594737e+04 2.420790e+04 1.246946e+04
#> 88 8.279944e+04 6.707903e+04 4.178684e+04 2.350473e+04 1.269598e+04
#> 91 6.287781e+04 5.411578e+04 3.596566e+04 2.159534e+04 1.231599e+04
#> 94 4.561197e+04 4.149145e+04 2.932378e+04 1.874803e+04 1.129320e+04
#> 97 3.179458e+04 3.034732e+04 2.269238e+04 1.538548e+04 9.763419e+03
#> 100 2.141723e+04 2.126125e+04 1.671238e+04 1.195403e+04 7.960404e+03
#> 103 1.400792e+04 1.432608e+04 1.175071e+04 8.814334e+03 6.131538e+03
#> 106 8.926959e+03 9.318454e+03 7.914048e+03 6.185245e+03 4.472953e+03
#> 109 5.554845e+03 5.869402e+03 5.122139e+03 4.143084e+03 3.099315e+03
#> 112 3.377962e+03 3.588662e+03 3.195381e+03 2.657088e+03 2.045992e+03
#> 115 2.007366e+03 2.133632e+03 1.926462e+03 1.636343e+03 1.290722e+03
#> 118 1.165024e+03 1.234986e+03 1.124979e+03 9.703379e+02 7.804419e+02
#> 121 6.598703e+02 6.964408e+02 6.375184e+02 5.554595e+02 4.535839e+02
#> 124 3.645197e+02 3.828238e+02 3.511453e+02 3.076565e+02 2.540648e+02
#> 127 1.963162e+02 2.051975e+02 1.882350e+02 1.652243e+02 1.374949e+02
#> 130 1.030698e+02 1.072925e+02 9.831733e+01 8.619855e+01 7.205980e+01
#> 133 5.276501e+01 5.475038e+01 5.008690e+01 4.376169e+01 3.665215e+01
#> 136 2.635181e+01 2.728124e+01 2.491166e+01 2.165418e+01 1.812892e+01
#> 139 1.284771e+01 1.328270e+01 1.210800e+01 1.045861e+01 8.735968e+00
#> 142 6.120096e+00 6.323847e+00 5.756208e+00 4.937159e+00 4.108264e+00
#> 145 2.851147e+00 2.946537e+00 2.679155e+00 2.280864e+00 1.888428e+00
#> 148 1.300317e+00 1.344826e+00 1.221972e+00 1.032421e+00 8.497175e-01
#> 151 5.811661e-01 6.017937e-01 5.466782e-01 4.583919e-01 3.747770e-01
#> 154 2.548181e-01 2.642835e-01 2.401120e-01 1.998497e-01 1.622360e-01
#> 157 1.097217e-01 1.140114e-01 1.036353e-01 8.564414e-02 6.900992e-02
#> 160 4.644417e-02 4.836081e-02 4.399548e-02 3.611104e-02 2.887665e-02
#> 163 1.934539e-02 2.018879e-02 1.838657e-02 1.499450e-02 1.189879e-02
#> 166 7.936835e-03 8.302172e-03 7.571146e-03 6.137011e-03 4.832832e-03
#> 169 3.210254e-03 3.366037e-03 3.074363e-03 2.477882e-03 1.936596e-03
#> 172 1.281252e-03 1.346662e-03 1.232064e-03 9.877612e-04 7.662788e-04
#> 175 5.050054e-04 5.320619e-04 4.876784e-04 3.890486e-04 2.996367e-04
#> 178 1.967291e-04 2.077619e-04 1.908010e-04 1.515142e-04 1.158760e-04
#> 181 7.580181e-05 8.023992e-05 7.383885e-05 5.838514e-05 4.434984e-05
#> 184 2.890935e-05 3.067187e-05 2.828407e-05 2.227604e-05 1.681063e-05
#> 187 1.092045e-05 1.161198e-05 1.073086e-05 8.420420e-06 6.314594e-06
#> 190 4.088479e-06 4.356762e-06 4.034885e-06 3.155364e-06 2.352000e-06
#> 193 1.517958e-06 1.620938e-06 1.504471e-06 1.172815e-06 8.691697e-07
#> 196 5.592510e-07 5.983924e-07 5.566065e-07 4.326287e-07 3.188478e-07
#> 199 2.045453e-07 2.192850e-07 2.044217e-07 1.584588e-07 1.161693e-07
#> 202 7.431656e-08 7.982051e-08 7.457207e-08 5.765842e-08 4.205641e-08
#> 205 2.682589e-08 2.886304e-08 2.702334e-08 2.084543e-08 1.513313e-08
#> 208 9.630705e-09 1.037991e-08 9.739140e-09 7.496309e-09 5.416933e-09
#> 211 3.441951e-09 3.716668e-09 3.495012e-09 2.685217e-09 1.930983e-09
#> 214 1.222389e-09 1.321467e-09 1.245087e-09 9.547765e-10 6.844164e-10
#> 217 4.326201e-10 4.687631e-10 4.428978e-10 3.393096e-10 2.423662e-10
#> 220 1.524113e-10 1.651722e-10 1.561667e-10 1.192400e-10 8.478293e-11
#> 223 5.322686e-11 5.784935e-11 5.473401e-11 4.158260e-11 2.928401e-11
#> 226 1.853001e-11 2.014986e-11 1.911550e-11 1.458243e-11 1.027151e-11
#> 229 5.847501e-12 6.417905e-12 6.199706e-12 4.641374e-12 3.179927e-12
#> 232 2.705073e-12 2.879771e-12 2.672074e-12 2.019859e-12 1.474401e-12
#> 235 8.074457e-13 9.123905e-13 8.494425e-13 6.364781e-13 4.204578e-13
#> 238 2.182196e-13 2.447646e-13 2.612496e-13 1.926513e-13 1.235158e-13
#> year
#> length 16 17 18 19 20
#> 1 2.052246e-57 9.783359e-58 1.049841e-57 8.921270e-58 9.411610e-58
#> 4 2.482174e-17 1.183289e-17 1.269774e-17 1.079020e-17 1.138326e-17
#> 7 1.816173e-03 8.657964e-04 9.290763e-04 7.895042e-04 8.328978e-04
#> 10 7.581651e+02 3.614284e+02 3.878447e+02 3.295801e+02 3.476948e+02
#> 13 9.074001e+04 4.325709e+04 4.641869e+04 3.944536e+04 4.161340e+04
#> 16 2.083125e+05 9.930703e+04 1.065436e+05 9.054400e+04 9.552022e+04
#> 19 4.383110e+04 2.107330e+04 1.987915e+04 1.766024e+04 1.858637e+04
#> 22 7.726804e+04 3.884001e+04 1.103364e+04 1.797029e+04 1.846209e+04
#> 25 1.607517e+05 8.120064e+04 2.231838e+04 3.676394e+04 3.789986e+04
#> 28 1.121619e+05 6.054785e+04 1.701103e+04 2.334019e+04 2.581738e+04
#> 31 8.340071e+04 5.724090e+04 1.728819e+04 1.027416e+04 1.721778e+04
#> 34 9.633841e+04 7.346470e+04 2.369795e+04 9.022394e+03 1.858010e+04
#> 37 8.163566e+04 6.848506e+04 2.587503e+04 9.178801e+03 1.435383e+04
#> 40 6.018990e+04 5.987457e+04 2.853013e+04 1.012183e+04 8.684982e+03
#> 43 4.846933e+04 5.461103e+04 3.067625e+04 1.184238e+04 6.272427e+03
#> 46 4.132397e+04 4.629114e+04 2.953607e+04 1.332276e+04 6.016197e+03
#> 49 4.028960e+04 3.734340e+04 2.668903e+04 1.427077e+04 6.638361e+03
#> 52 4.592095e+04 3.154506e+04 2.339106e+04 1.435753e+04 7.524142e+03
#> 55 5.248588e+04 2.990278e+04 2.019218e+04 1.352523e+04 8.187565e+03
#> 58 5.408711e+04 3.140301e+04 1.796698e+04 1.216223e+04 8.309609e+03
#> 61 4.925093e+04 3.334902e+04 1.722727e+04 1.080287e+04 7.865936e+03
#> 64 4.020630e+04 3.307355e+04 1.751102e+04 9.866283e+03 7.099101e+03
#> 67 3.013063e+04 2.971347e+04 1.770107e+04 9.437577e+03 6.332838e+03
#> 70 2.132576e+04 2.422869e+04 1.685444e+04 9.229848e+03 5.766594e+03
#> 73 1.479936e+04 1.824910e+04 1.476820e+04 8.821406e+03 5.387956e+03
#> 76 1.059367e+04 1.306035e+04 1.191138e+04 7.962307e+03 5.041580e+03
#> 79 8.260688e+03 9.249091e+03 8.980431e+03 6.699557e+03 4.576282e+03
#> 82 7.205722e+03 6.823372e+03 6.507900e+03 5.281703e+03 3.949279e+03
#> 85 6.864480e+03 5.477889e+03 4.716985e+03 3.978989e+03 3.229288e+03
#> 88 6.778801e+03 4.814437e+03 3.571712e+03 2.957167e+03 2.530091e+03
#> 91 6.629390e+03 4.473411e+03 2.899270e+03 2.249374e+03 1.940864e+03
#> 94 6.245936e+03 4.195361e+03 2.499516e+03 1.795681e+03 1.494591e+03
#> 97 5.593746e+03 3.837183e+03 2.211451e+03 1.501616e+03 1.175604e+03
#> 100 4.737113e+03 3.358405e+03 1.938196e+03 1.283129e+03 9.454102e+02
#> 103 3.789588e+03 2.789184e+03 1.643031e+03 1.087522e+03 7.664598e+02
#> 106 2.866946e+03 2.192446e+03 1.330425e+03 8.941674e+02 6.143357e+02
#> 109 2.055573e+03 1.631784e+03 1.023825e+03 7.042982e+02 4.788544e+02
#> 112 1.400506e+03 1.152077e+03 7.480470e+02 5.285130e+02 3.591587e+02
#> 115 9.093210e+02 7.735318e+02 5.194991e+02 3.773396e+02 2.578300e+02
#> 118 5.642736e+02 4.952937e+02 3.436480e+02 2.565464e+02 1.768361e+02
#> 121 3.356152e+02 3.033008e+02 2.170829e+02 1.664215e+02 1.159171e+02
#> 124 1.918529e+02 1.781270e+02 1.313083e+02 1.032584e+02 7.273001e+01
#> 127 1.056839e+02 1.006019e+02 7.625765e+01 6.143977e+01 4.376929e+01
#> 130 5.623919e+01 5.478001e+01 4.263178e+01 3.514935e+01 2.532333e+01
#> 133 2.897813e+01 2.882932e+01 2.299984e+01 1.938340e+01 1.411886e+01
#> 136 1.448936e+01 1.469727e+01 1.200276e+01 1.032849e+01 7.603616e+00
#> 139 7.044642e+00 7.273776e+00 6.072463e+00 5.330018e+00 3.964226e+00
#> 142 3.336746e+00 3.501663e+00 2.984544e+00 2.669531e+00 2.005120e+00
#> 145 1.542441e+00 1.642829e+00 1.427789e+00 1.300247e+00 9.859115e-01
#> 148 6.969928e-01 7.524394e-01 6.660559e-01 6.170404e-01 4.721385e-01
#> 151 3.083517e-01 3.369911e-01 3.034963e-01 2.857961e-01 2.205971e-01
#> 154 1.337459e-01 1.478058e-01 1.352938e-01 1.294080e-01 1.007265e-01
#> 157 5.695157e-02 6.357767e-02 5.909140e-02 5.737027e-02 4.501615e-02
#> 160 2.383736e-02 2.685530e-02 2.532151e-02 2.493727e-02 1.971950e-02
#> 163 9.818321e-03 1.115325e-02 1.065937e-02 1.064194e-02 8.478276e-03
#> 166 3.983906e-03 4.559502e-03 4.413365e-03 4.464142e-03 3.582163e-03
#> 169 1.594075e-03 1.836718e-03 1.799248e-03 1.842895e-03 1.489072e-03
#> 172 6.295684e-04 7.298126e-04 7.230178e-04 7.495072e-04 6.096653e-04
#> 175 2.456359e-04 2.863056e-04 2.866610e-04 3.006079e-04 2.461021e-04
#> 178 9.475704e-05 1.109884e-04 1.122399e-04 1.190099e-04 9.803937e-05
#> 181 3.616890e-05 4.255103e-05 4.343666e-05 4.654850e-05 3.857752e-05
#> 184 1.367023e-05 1.614581e-05 1.662818e-05 1.800225e-05 1.500649e-05
#> 187 5.119487e-06 6.067901e-06 6.301417e-06 6.889407e-06 5.775305e-06
#> 190 1.900915e-06 2.260156e-06 2.365610e-06 2.610870e-06 2.200593e-06
#> 193 7.002329e-07 8.348978e-07 8.803314e-07 9.804653e-07 8.307537e-07
#> 196 2.560425e-07 3.060427e-07 3.249507e-07 3.650901e-07 3.109234e-07
#> 199 9.298160e-08 1.113844e-07 1.190447e-07 1.348805e-07 1.154374e-07
#> 202 3.355166e-08 4.027090e-08 4.330731e-08 4.946772e-08 4.253996e-08
#> 205 1.203398e-08 1.446962e-08 1.565252e-08 1.801976e-08 1.556827e-08
#> 208 4.293488e-09 5.170263e-09 5.623455e-09 6.522918e-09 5.660977e-09
#> 211 1.524827e-09 1.837941e-09 2.009246e-09 2.347547e-09 2.046224e-09
#> 214 5.393250e-10 6.505241e-10 7.144771e-10 8.405959e-10 7.357234e-10
#> 217 1.895335e-10 2.287281e-10 2.524736e-10 2.991013e-10 2.629320e-10
#> 220 6.649875e-11 8.050681e-11 8.927171e-11 1.062940e-10 9.375475e-11
#> 223 2.287067e-11 2.801110e-11 3.134074e-11 3.765084e-11 3.331712e-11
#> 226 8.029287e-12 9.765639e-12 1.079254e-11 1.311688e-11 1.167704e-11
#> 229 2.395586e-12 2.946315e-12 3.441874e-12 4.331732e-12 3.981564e-12
#> 232 1.171798e-12 1.474618e-12 1.640800e-12 1.791412e-12 1.538833e-12
#> 235 3.274603e-13 4.017074e-13 5.017736e-13 6.312204e-13 5.216302e-13
#> 238 8.126669e-14 9.546893e-14 1.139324e-13 1.825542e-13 1.999244e-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: 0x5604e3811508>
#>
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
#> 31798898 64390515 68018762 53252154 58170915 72603143 120202341 127765577
#> 9 10 11 12 13 14 15 16
#> 95593532 70846847 64023649 88168630 57554172 47659239 46396191 50164155
#> 17 18 19 20
#> 46557618 33845347 19209095 18922574
#>
#> $N0
#> [1] 31798898.3 28062314.5 21220565.6 14707296.6 9380295.1 5634569.1
#> [7] 3440807.4 1907154.4 1310002.0 947924.6
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.1250041 0.1316716 0.1768737 0.1349364 0.08398975 1.118225 1.227115
#> 2 0.2794568 0.2463937 0.2959596 0.3137342 0.18527903 1.042687 1.455526
#> 3 0.3666270 0.2808946 0.3914003 0.4350204 0.33205113 1.587295 1.849767
#> 4 0.4497325 0.3100934 0.3249493 0.4430259 0.31232388 1.671092 2.808323
#> 5 0.5096906 0.3173408 0.3001024 0.3851519 0.42588870 1.833602 2.072783
#> 6 0.4932145 0.2604024 0.3426528 0.5058438 0.43330195 1.707050 2.246266
#> 7 0.5900938 0.2920992 0.3688950 0.5499998 0.43323804 1.362297 1.411540
#> 8 0.3755836 0.2398729 0.3537573 0.7254933 0.39674558 1.614499 1.508296
#> 9 0.3235089 0.1610734 0.1543316 0.4258387 0.27828159 2.004591 1.379671
#> 10 0.1968466 0.1373063 0.1486797 0.2524524 0.16628363 1.337374 1.561707
#> year
#> age 8 9 10 11 12 13 14
#> 1 6.977536 3.481935 0.7018892 0.5620061 0.7942198 0.6854403 0.5153346
#> 2 8.659653 4.045157 0.9931716 0.5755777 0.7893045 0.5772868 0.4979335
#> 3 8.986895 4.026212 0.9112042 0.5616432 0.7843738 0.5434544 0.5663467
#> 4 7.244297 4.948530 0.9372788 0.6587605 0.8854149 0.5382090 0.5482318
#> 5 4.871824 4.069949 1.0033343 0.6873316 1.1001596 0.4837562 0.5302309
#> 6 5.597027 5.505926 1.1978682 1.1695001 1.3065032 0.3667402 0.4592387
#> 7 2.554240 4.381429 1.2177469 1.2676568 1.6365654 0.5134574 0.5879047
#> 8 2.229467 3.841082 1.7665934 1.8637017 2.2721484 0.5670926 0.5918603
#> 9 2.382333 4.355395 2.4445172 2.6446106 2.3246419 0.5325267 0.4323620
#> 10 3.225431 4.799128 1.9796111 1.8362797 1.5586790 0.3127713 0.3289019
#> year
#> age 15 16 17 18 19 20
#> 1 0.2880380 0.2997806 0.1698357 0.1923304 0.7033921 0.4489420
#> 2 0.3794795 0.3412651 0.2103632 0.3013716 1.1163110 0.5674592
#> 3 0.5013015 0.5032126 0.3146357 0.4021235 1.1873640 0.4141157
#> 4 0.5853593 0.5221039 0.3738699 0.6040861 1.5882960 0.6797948
#> 5 0.6289641 0.5772534 0.5983033 0.7736212 1.7613225 1.1370751
#> 6 0.6277974 0.6398459 0.5634201 0.8410006 1.4269530 1.4227290
#> 7 0.8970281 0.6982775 0.6347075 0.9805133 1.9506997 2.2723617
#> 8 0.7125663 0.6931630 0.5503779 0.7778812 1.3459639 1.9430559
#> 9 0.3891962 0.2942696 0.4199162 0.7170988 0.9468842 1.1697943
#> 10 0.3158040 0.1780715 0.3954498 0.5679615 0.6131037 0.9328258
#>
#> $N
#> year
#> age 1 2 3 4 5 6 7
#> 1 31798898.3 64390515.4 68018762 53252154 58170915 72603143 120202341.4
#> 2 28062314.5 28062314.5 56446580 56991943 46530213 53484705 23731012.5
#> 3 21220565.6 21220565.6 21933911 41985952 41644767 38660670 18853691.0
#> 4 14707296.6 14707296.6 16023817 14829725 27175468 29878065 7905252.8
#> 5 9380295.1 9380295.1 10786014 11578232 9522027 19885499 5618317.6
#> 6 5634569.1 5634569.1 6829629 7989658 7877219 6219683 3178433.4
#> 7 3440807.4 3440807.4 4342795 4848249 4817736 5107310 1128251.1
#> 8 1907154.4 1907154.4 2569232 3003034 2797197 3123849 1307839.2
#> 9 1310002.0 1310002.0 1500411 1803717 1453726 1881129 621615.9
#> 10 947924.6 947924.6 1115112 1285834 1178227 1100592 253417.2
#> year
#> age 8 9 10 11 12
#> 1 127765577.2 9.559353e+07 7.084685e+07 6.402365e+07 8.816863e+07
#> 2 35235772.3 1.191539e+05 2.939298e+06 3.511510e+07 3.649760e+07
#> 3 5535915.8 6.111452e+03 2.086022e+03 1.088716e+06 1.974803e+07
#> 4 2965191.6 6.921987e+02 1.090392e+02 8.386640e+02 6.208634e+05
#> 5 476734.6 2.117847e+03 4.910341e+00 4.270980e+01 4.340022e+02
#> 6 706981.8 3.651492e+03 3.616915e+01 1.800400e+00 2.147945e+01
#> 7 336257.6 2.622106e+03 1.483464e+01 1.091719e+01 5.590642e-01
#> 8 275031.0 2.614447e+04 3.279591e+01 4.389514e+00 3.073084e+00
#> 9 289407.4 2.958942e+04 5.613309e+02 5.605288e+00 6.808023e-01
#> 10 156436.7 2.672241e+04 3.798504e+02 4.870557e+01 3.981605e-01
#> year
#> age 13 14 15 16 17
#> 1 5.755417e+07 4.765924e+07 4.639619e+07 5.016416e+07 4.655762e+07
#> 2 3.984637e+07 2.899972e+07 2.846690e+07 3.478476e+07 3.717067e+07
#> 3 1.657577e+07 2.237053e+07 1.762561e+07 1.947755e+07 2.472746e+07
#> 4 9.013106e+06 9.626190e+06 1.269741e+07 1.067657e+07 1.177584e+07
#> 5 2.561329e+05 5.261787e+06 5.563658e+06 7.071260e+06 6.334097e+06
#> 6 1.444437e+02 1.578966e+05 3.096399e+06 2.966230e+06 3.970076e+06
#> 7 5.815889e+00 1.000980e+02 9.975342e+04 1.652753e+06 1.564311e+06
#> 8 1.088204e-01 3.480362e+00 5.560344e+01 4.067742e+04 8.221478e+05
#> 9 3.168056e-01 6.171989e-02 1.925674e+00 2.726704e+01 2.033839e+04
#> 10 6.659504e-02 1.860028e-01 4.005463e-02 1.304839e+00 2.031601e+01
#> year
#> age 18 19 20
#> 1 33845347.16 19209095.0 18922574.2
#> 2 39285478.25 27923571.0 9506651.9
#> 3 30119023.09 29063508.6 9144568.8
#> 4 18052398.23 20146557.5 8865075.2
#> 5 8102558.57 9866966.8 4115405.8
#> 6 3482129.41 3738029.7 1695317.3
#> 7 2260000.73 1501768.4 897273.6
#> 8 829226.71 847768.1 213513.3
#> 9 474158.82 380928.8 220664.5
#> 10 13364.39 231468.4 147780.5
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.932043e-55 3.912250e-55 4.132695e-55 3.235503e-55 3.534358e-55
#> 4 2.336789e-15 4.731832e-15 4.998459e-15 3.913313e-15 4.274775e-15
#> 7 1.709797e-01 3.462217e-01 3.657305e-01 2.863318e-01 3.127795e-01
#> 10 7.137580e+04 1.445309e+05 1.526749e+05 1.195298e+05 1.305704e+05
#> 13 8.542521e+06 1.729800e+07 1.827270e+07 1.430577e+07 1.562715e+07
#> 16 1.961023e+07 3.970505e+07 4.194631e+07 3.284183e+07 3.587301e+07
#> 19 4.012625e+06 7.585024e+06 8.515879e+06 6.907545e+06 7.250186e+06
#> 22 5.999548e+06 6.094608e+06 1.207767e+07 1.215137e+07 9.964400e+06
#> 25 1.245075e+07 1.245145e+07 2.493132e+07 2.527998e+07 2.067995e+07
#> 28 8.723757e+06 8.723759e+06 1.623587e+07 1.764447e+07 1.487294e+07
#> 31 6.614228e+06 6.614228e+06 8.507943e+06 1.311674e+07 1.245397e+07
#> 34 7.820817e+06 7.820817e+06 8.300017e+06 1.497896e+07 1.522691e+07
#> 37 7.073420e+06 7.073420e+06 7.435932e+06 1.210416e+07 1.361177e+07
#> 40 5.973284e+06 5.973284e+06 6.411086e+06 8.098526e+06 1.103062e+07
#> 43 5.440431e+06 5.440431e+06 5.959488e+06 6.229635e+06 9.322598e+06
#> 46 4.809761e+06 4.809761e+06 5.367945e+06 5.426673e+06 7.331416e+06
#> 49 4.107966e+06 4.107966e+06 4.681682e+06 4.889052e+06 5.494465e+06
#> 52 3.484352e+06 3.484352e+06 4.056510e+06 4.399749e+06 4.343012e+06
#> 55 2.925101e+06 2.925101e+06 3.476215e+06 3.873279e+06 3.673512e+06
#> 58 2.423612e+06 2.423612e+06 2.937201e+06 3.324841e+06 3.167047e+06
#> 61 1.986848e+06 1.986848e+06 2.449253e+06 2.794598e+06 2.683657e+06
#> 64 1.612786e+06 1.612786e+06 2.012218e+06 2.306349e+06 2.209470e+06
#> 67 1.294384e+06 1.294384e+06 1.622871e+06 1.868399e+06 1.767248e+06
#> 70 1.022180e+06 1.022180e+06 1.278049e+06 1.479068e+06 1.373879e+06
#> 73 7.865846e+05 7.865846e+05 9.750250e+05 1.134046e+06 1.034418e+06
#> 76 5.821272e+05 5.821272e+05 7.134009e+05 8.328776e+05 7.486670e+05
#> 79 4.090152e+05 4.090152e+05 4.955803e+05 5.797984e+05 5.161307e+05
#> 82 2.701783e+05 2.701783e+05 3.242001e+05 3.795392e+05 3.361371e+05
#> 85 1.668226e+05 1.668226e+05 1.986877e+05 2.325134e+05 2.055980e+05
#> 88 9.607890e+04 9.607890e+04 1.138178e+05 1.330633e+05 1.177497e+05
#> 91 5.164206e+04 5.164206e+04 6.095287e+04 7.116854e+04 6.311257e+04
#> 94 2.596380e+04 2.596380e+04 3.057183e+04 3.564721e+04 3.170107e+04
#> 97 1.225043e+04 1.225043e+04 1.440321e+04 1.677216e+04 1.496092e+04
#> 100 5.445150e+03 5.445150e+03 6.396458e+03 7.439387e+03 6.655975e+03
#> 103 2.289231e+03 2.289231e+03 2.687930e+03 3.122744e+03 2.801803e+03
#> 106 9.139859e+02 9.139859e+02 1.072951e+03 1.245303e+03 1.120197e+03
#> 109 3.479042e+02 3.479042e+02 4.083976e+02 4.735958e+02 4.269996e+02
#> 112 1.267282e+02 1.267282e+02 1.487723e+02 1.723953e+02 1.557501e+02
#> 115 4.433129e+01 4.433129e+01 5.204858e+01 6.027460e+01 5.455202e+01
#> 118 1.494182e+01 1.494182e+01 1.754541e+01 2.030717e+01 1.840773e+01
#> 121 4.867271e+00 4.867271e+00 5.716254e+00 6.612883e+00 6.002437e+00
#> 124 1.536712e+00 1.536712e+00 1.805030e+00 2.087306e+00 1.896841e+00
#> 127 4.714856e-01 4.714856e-01 5.538903e-01 6.402828e-01 5.824480e-01
#> 130 1.409191e-01 1.409191e-01 1.655710e-01 1.913375e-01 1.742076e-01
#> 133 4.112180e-02 4.112180e-02 4.832156e-02 5.582675e-02 5.086752e-02
#> 136 1.174018e-02 1.174018e-02 1.379727e-02 1.593659e-02 1.453052e-02
#> 139 3.285549e-03 3.285549e-03 3.861631e-03 4.459512e-03 4.068395e-03
#> 142 9.028934e-04 9.028934e-04 1.061303e-03 1.225409e-03 1.118496e-03
#> 145 2.440439e-04 2.440439e-04 2.868841e-04 3.311947e-04 3.024313e-04
#> 148 6.497557e-05 6.497557e-05 7.638717e-05 8.817402e-05 8.054709e-05
#> 151 1.706441e-05 1.706441e-05 2.006275e-05 2.315586e-05 2.116000e-05
#> 154 4.426179e-06 4.426179e-06 5.204160e-06 6.005893e-06 5.489833e-06
#> 157 1.135389e-06 1.135389e-06 1.335045e-06 1.540586e-06 1.408571e-06
#> 160 2.882780e-07 2.882780e-07 3.389779e-07 3.911363e-07 3.576963e-07
#> 163 7.247656e-08 7.247656e-08 8.522785e-08 9.833329e-08 8.994942e-08
#> 166 1.818181e-08 1.818181e-08 2.137956e-08 2.466907e-08 2.256041e-08
#> 169 4.420113e-09 4.420113e-09 5.199699e-09 5.995764e-09 5.493999e-09
#> 172 1.157649e-09 1.157649e-09 1.361826e-09 1.570319e-09 1.438905e-09
#> 175 2.104816e-10 2.104816e-10 2.476047e-10 2.855126e-10 2.616190e-10
#> 178 1.052408e-10 1.052408e-10 1.238024e-10 1.427563e-10 1.308095e-10
#> year
#> length 6 7 8 9 10
#> 1 4.411234e-55 7.303274e-55 7.762802e-55 5.808088e-55 4.304525e-55
#> 4 5.335349e-15 8.833246e-15 9.389042e-15 7.024832e-15 5.206285e-15
#> 7 3.903803e-01 6.463167e-01 6.869835e-01 5.139974e-01 3.809368e-01
#> 10 1.629650e+05 2.698061e+05 2.867826e+05 2.145692e+05 1.590228e+05
#> 13 1.950426e+07 3.229140e+07 3.432320e+07 2.568044e+07 1.903244e+07
#> 16 4.477244e+07 7.411598e+07 7.878090e+07 5.893956e+07 4.368206e+07
#> 19 8.962747e+06 1.362125e+07 1.466637e+07 1.048034e+07 7.820802e+06
#> 22 1.146951e+07 5.345797e+06 7.787267e+06 3.038918e+05 8.251062e+05
#> 25 2.372075e+07 1.053598e+07 1.552030e+07 5.446181e+04 1.293462e+06
#> 28 1.651457e+07 7.433841e+06 9.619097e+06 3.173743e+04 7.733591e+05
#> 31 1.220634e+07 5.782080e+06 3.418627e+06 8.641568e+03 1.791378e+05
#> 34 1.437406e+07 6.757600e+06 2.198924e+06 2.884058e+03 2.072425e+04
#> 37 1.330285e+07 5.598653e+06 1.733967e+06 1.622580e+03 1.811771e+03
#> 40 1.172067e+07 3.954736e+06 1.283329e+06 8.373224e+02 2.856527e+02
#> 43 1.097833e+07 3.168425e+06 9.853470e+05 5.787326e+02 8.392101e+01
#> 46 9.718034e+06 2.730218e+06 6.924062e+05 6.971013e+02 3.187550e+01
#> 49 8.025062e+06 2.351903e+06 4.507954e+05 9.845038e+02 1.580434e+01
#> 52 6.299073e+06 1.985270e+06 3.247939e+05 1.406314e+03 1.201953e+01
#> 55 4.761564e+06 1.614666e+06 2.762197e+05 2.138335e+03 1.445643e+01
#> 58 3.601722e+06 1.272171e+06 2.497717e+05 3.487041e+03 2.293261e+01
#> 61 2.826663e+06 9.936421e+05 2.232312e+05 5.610730e+03 4.087501e+01
#> 64 2.293915e+06 7.846802e+05 1.965112e+05 8.220068e+03 7.009657e+01
#> 67 1.868966e+06 6.259961e+05 1.720864e+05 1.059473e+04 1.054360e+02
#> 70 1.488011e+06 4.937399e+05 1.486477e+05 1.195873e+04 1.353090e+02
#> 73 1.138372e+06 3.748398e+05 1.237959e+05 1.190054e+04 1.485003e+02
#> 76 8.280819e+05 2.687075e+05 9.722706e+04 1.053650e+04 1.410452e+02
#> 79 5.685091e+05 1.801774e+05 7.101104e+04 8.372319e+03 1.175414e+02
#> 82 3.664377e+05 1.126937e+05 4.793611e+04 6.017002e+03 8.708011e+01
#> 85 2.210811e+05 6.579048e+04 2.988316e+04 3.938681e+03 5.803185e+01
#> 88 1.247390e+05 3.592819e+04 1.724061e+04 2.363774e+03 3.515268e+01
#> 91 6.587550e+04 1.840495e+04 9.239566e+03 1.308745e+03 1.953325e+01
#> 94 3.263188e+04 8.871633e+03 4.620016e+03 6.724981e+02 1.003743e+01
#> 97 1.520706e+04 4.036936e+03 2.165480e+03 3.225430e+02 4.804070e+00
#> 100 6.690065e+03 1.739913e+03 9.558823e+02 1.451745e+02 2.155283e+00
#> 103 2.788640e+03 7.126771e+02 3.991637e+02 6.163207e+01 9.115673e-01
#> 106 1.105473e+03 2.783572e+02 1.583637e+02 2.479717e+01 3.653407e-01
#> 109 4.182991e+02 1.040118e+02 5.993379e+01 9.497256e+00 1.393974e-01
#> 112 1.516142e+02 3.730042e+01 2.171894e+01 3.476767e+00 5.085053e-02
#> 115 5.281566e+01 1.287715e+01 7.562796e+00 1.221181e+00 1.780298e-02
#> 118 1.773890e+01 4.291993e+00 2.538750e+00 4.129795e-01 6.003053e-03
#> 121 5.761236e+00 1.384902e+00 8.240683e-01 1.349019e-01 1.955824e-03
#> 124 1.814367e+00 4.337267e-01 2.593737e-01 4.269079e-02 6.175081e-04
#> 127 5.554777e-01 1.321583e-01 7.936506e-02 1.312375e-02 1.894446e-04
#> 130 1.657180e-01 3.926711e-02 2.366514e-02 3.928946e-03 5.661388e-05
#> 133 4.828225e-02 1.140056e-02 6.891616e-03 1.148119e-03 1.651778e-05
#> 136 1.376581e-02 3.240635e-03 1.964029e-03 3.281774e-04 4.714938e-06
#> 139 3.847933e-03 9.034897e-04 5.487876e-04 9.193620e-05 1.319259e-06
#> 142 1.056373e-03 2.474750e-04 1.506059e-04 2.528702e-05 3.624785e-07
#> 145 2.852781e-04 6.670067e-05 4.065898e-05 6.840041e-06 9.795817e-08
#> 148 7.589607e-05 1.771488e-05 1.081400e-05 1.822332e-06 2.607691e-08
#> 151 1.991924e-05 4.642437e-06 2.837460e-06 4.788678e-07 6.847500e-09
#> 154 5.163587e-06 1.201817e-06 7.353969e-07 1.242735e-07 1.775947e-09
#> 157 1.323947e-06 3.078406e-07 1.885076e-07 3.188995e-08 4.554551e-10
#> 160 3.359859e-07 7.803213e-08 4.783483e-08 8.100605e-09 1.156474e-10
#> 163 8.442913e-08 1.958673e-08 1.201776e-08 2.037442e-09 2.907094e-11
#> 166 2.119004e-08 4.920969e-09 3.016814e-09 5.109234e-10 7.293859e-12
#> 169 5.131992e-09 1.181668e-09 7.294542e-10 1.246049e-10 1.771219e-12
#> 172 1.344093e-09 3.094845e-10 1.910475e-10 3.263462e-11 4.638906e-13
#> 175 2.443806e-10 5.626991e-11 3.473592e-11 5.933567e-12 8.434374e-14
#> 178 1.221903e-10 2.813496e-11 1.736796e-11 2.966784e-12 4.217187e-14
#> year
#> length 11 12 13 14 15
#> 1 3.889960e-55 5.356964e-55 3.496886e-55 2.895688e-55 2.818948e-55
#> 4 4.704872e-15 6.479202e-15 4.229453e-15 3.502309e-15 3.409492e-15
#> 7 3.442491e-01 4.740744e-01 3.094634e-01 2.562592e-01 2.494680e-01
#> 10 1.437075e+05 1.979033e+05 1.291861e+05 1.069759e+05 1.041409e+05
#> 13 1.719944e+07 2.368580e+07 1.546147e+07 1.280327e+07 1.246397e+07
#> 16 3.947990e+07 5.436703e+07 3.549176e+07 2.938928e+07 2.861045e+07
#> 19 7.677284e+06 1.034981e+07 7.057032e+06 5.768701e+06 5.620247e+06
#> 22 7.575512e+06 7.938705e+06 8.553718e+06 6.243166e+06 6.126892e+06
#> 25 1.544165e+07 1.615152e+07 1.760550e+07 1.286937e+07 1.260930e+07
#> 28 9.306214e+06 1.084746e+07 1.152965e+07 9.042058e+06 8.602995e+06
#> 31 2.383123e+06 6.732154e+06 6.245787e+06 6.912817e+06 5.809239e+06
#> 34 6.039150e+05 6.885529e+06 6.141078e+06 8.031931e+06 6.547058e+06
#> 37 2.772408e+05 4.842753e+06 5.174170e+06 6.667790e+06 5.928285e+06
#> 40 1.069956e+05 2.078053e+06 3.835845e+06 4.705465e+06 5.009084e+06
#> 43 2.750089e+04 6.605809e+05 2.852971e+06 3.656425e+06 4.414074e+06
#> 46 5.008528e+03 2.035125e+05 1.799774e+06 2.889098e+06 3.600208e+06
#> 49 7.248760e+02 6.707508e+04 8.738366e+05 2.125129e+06 2.740987e+06
#> 52 1.023164e+02 2.076302e+04 3.361901e+05 1.409040e+06 2.053244e+06
#> 55 2.008727e+01 5.451325e+03 1.106858e+05 8.095798e+05 1.492746e+06
#> 58 7.394045e+00 1.197202e+03 3.364411e+04 3.942101e+05 1.008294e+06
#> 61 5.111183e+00 2.265246e+02 9.798483e+03 1.638097e+05 6.128321e+05
#> 64 5.293005e+00 3.933832e+01 2.713361e+03 5.956158e+04 3.300210e+05
#> 67 6.391861e+00 7.241510e+00 6.979979e+02 1.953499e+04 1.570772e+05
#> 70 7.756570e+00 1.891563e+00 1.644760e+02 5.934508e+03 6.652647e+04
#> 73 8.764527e+00 8.325143e-01 3.552281e+01 1.698670e+03 2.538104e+04
#> 76 8.900824e+00 4.875697e-01 7.132208e+00 4.614338e+02 8.850171e+03
#> 79 8.030094e+00 3.007513e-01 1.375968e+00 1.190633e+02 2.860985e+03
#> 82 6.440382e+00 1.796061e-01 2.741203e-01 2.916129e+01 8.681295e+02
#> 85 4.620825e+00 1.016407e-01 6.421977e-02 6.786452e+00 2.496714e+02
#> 88 2.990519e+00 5.430831e-02 1.979873e-02 1.507780e+00 6.852876e+01
#> 91 1.761059e+00 2.742141e-02 7.673350e-03 3.231447e-01 1.803505e+01
#> 94 9.516021e-01 1.310737e-02 3.269308e-03 6.812246e-02 4.565430e+00
#> 97 4.755494e-01 5.942736e-03 1.400888e-03 1.460953e-02 1.114395e+00
#> 100 2.213680e-01 2.560919e-03 5.823717e-04 3.346059e-03 2.629105e-01
#> 103 9.661590e-02 1.051278e-03 2.322925e-04 8.573276e-04 6.010446e-02
#> 106 3.977086e-02 4.121111e-04 8.873882e-05 2.485408e-04 1.335476e-02
#> 109 1.552338e-02 1.546752e-04 3.251265e-05 7.890861e-05 2.894156e-03
#> 112 5.773145e-03 5.573316e-05 1.145351e-05 2.616354e-05 6.142436e-04
#> 115 2.054676e-03 1.933227e-05 3.890353e-06 8.738914e-06 1.282754e-04
#> 118 7.025867e-04 6.472966e-06 1.277655e-06 2.881914e-06 2.650136e-05
#> 121 2.316554e-04 2.097567e-06 4.067907e-07 9.298650e-07 5.449021e-06
#> 124 7.389037e-05 6.594985e-07 1.258761e-07 2.925758e-07 1.122269e-06
#> 127 2.286779e-05 2.016667e-07 3.794358e-08 8.973071e-08 2.329847e-07
#> 130 6.885330e-06 6.011104e-08 1.116582e-08 2.684897e-08 4.904274e-08
#> 133 2.021895e-06 1.750206e-08 3.214134e-09 7.846722e-09 1.046454e-08
#> 136 5.803665e-07 4.987624e-09 9.066922e-10 2.245323e-09 2.289054e-09
#> 139 1.631730e-07 1.393679e-09 2.510844e-10 6.297869e-10 5.191658e-10
#> 142 4.502084e-08 3.825030e-10 6.836369e-11 1.734341e-10 1.109166e-10
#> 145 1.221088e-08 1.032756e-10 1.832872e-11 4.697968e-11 3.322427e-11
#> 148 3.260876e-09 2.747144e-11 4.844946e-12 1.252870e-11 5.485306e-12
#> 151 8.586355e-10 7.209269e-12 1.264402e-12 3.296212e-12 1.353262e-12
#> 154 2.232299e-10 1.868477e-12 3.261466e-13 8.559926e-13 3.258142e-13
#> 157 5.736825e-11 4.791833e-13 8.325594e-14 2.200960e-13 8.321082e-14
#> 160 1.459287e-11 1.215503e-13 2.105110e-14 5.587226e-14 1.882592e-14
#> 163 3.675984e-12 3.054408e-14 5.266418e-15 1.406963e-14 4.516033e-15
#> 166 9.205035e-13 7.665967e-15 1.327246e-15 3.524283e-15 1.183568e-15
#> 169 2.271110e-13 1.856597e-15 3.105285e-16 8.673193e-16 1.867722e-16
#> 172 5.948146e-14 4.862516e-16 8.132888e-17 2.271551e-16 4.891653e-17
#> 175 1.081481e-14 8.840939e-17 1.478707e-17 4.130092e-17 8.893914e-18
#> 178 5.407405e-15 4.420470e-17 7.393535e-18 2.065046e-17 4.446957e-18
#> year
#> length 16 17 18 19 20
#> 1 3.047882e-55 2.828756e-55 2.056381e-55 1.167109e-55 1.149701e-55
#> 4 3.686387e-15 3.421355e-15 2.487175e-15 1.411609e-15 1.390553e-15
#> 7 2.697279e-01 2.503359e-01 1.819832e-01 1.032855e-01 1.017449e-01
#> 10 1.125984e+05 1.045032e+05 7.596926e+04 4.311673e+04 4.247360e+04
#> 13 1.347620e+07 1.250733e+07 9.092283e+06 5.160371e+06 5.083399e+06
#> 16 3.093458e+07 2.871128e+07 2.087366e+07 1.184779e+07 1.166839e+07
#> 19 6.151930e+06 5.801432e+06 4.447752e+06 2.630040e+06 2.252693e+06
#> 22 7.467427e+06 7.959462e+06 8.367907e+06 5.934421e+06 2.056431e+06
#> 25 1.539639e+07 1.647362e+07 1.743228e+07 1.243225e+07 4.228773e+06
#> 28 1.038151e+07 1.134063e+07 1.223825e+07 9.183094e+06 3.079412e+06
#> 31 6.607964e+06 7.956789e+06 9.342955e+06 8.419912e+06 2.703527e+06
#> 34 7.139972e+06 8.953178e+06 1.099517e+07 1.063861e+07 3.441547e+06
#> 37 6.121273e+06 7.523152e+06 9.644929e+06 9.667696e+06 3.375870e+06
#> 40 4.740288e+06 5.500199e+06 7.619786e+06 8.085169e+06 3.195506e+06
#> 43 4.067433e+06 4.428864e+06 6.414424e+06 7.124214e+06 3.021860e+06
#> 46 3.516704e+06 3.640857e+06 5.151609e+06 5.876123e+06 2.529234e+06
#> 49 2.927500e+06 2.947943e+06 3.892259e+06 4.506487e+06 1.935444e+06
#> 52 2.349311e+06 2.399256e+06 2.911636e+06 3.346777e+06 1.443919e+06
#> 55 1.802389e+06 1.933292e+06 2.190696e+06 2.419612e+06 1.064819e+06
#> 58 1.323321e+06 1.507618e+06 1.657179e+06 1.708754e+06 7.750319e+05
#> 61 9.293725e+05 1.125837e+06 1.255522e+06 1.197603e+06 5.577966e+05
#> 64 6.152795e+05 8.021341e+05 9.395621e+05 8.439209e+05 3.969037e+05
#> 67 3.763735e+05 5.434104e+05 6.827000e+05 5.991563e+05 2.796911e+05
#> 70 2.097274e+05 3.477899e+05 4.757987e+05 4.253491e+05 1.964642e+05
#> 73 1.058689e+05 2.084785e+05 3.157588e+05 2.979973e+05 1.380776e+05
#> 76 4.847066e+04 1.161561e+05 1.984958e+05 2.030827e+05 9.635010e+04
#> 79 2.023598e+04 5.989265e+04 1.176464e+05 1.329332e+05 6.557750e+04
#> 82 7.762773e+03 2.856071e+04 6.549015e+04 8.278421e+04 4.270697e+04
#> 85 2.759880e+03 1.262427e+04 3.416415e+04 4.873871e+04 2.624190e+04
#> 88 9.173671e+02 5.193814e+03 1.669617e+04 2.703403e+04 1.510176e+04
#> 91 2.874839e+02 1.999246e+03 7.654564e+03 1.411098e+04 8.121450e+03
#> 94 8.559260e+01 7.241003e+02 3.301049e+03 6.935333e+03 4.085804e+03
#> 97 2.437597e+01 2.481801e+02 1.343839e+03 3.215338e+03 1.928453e+03
#> 100 6.679192e+00 8.094303e+01 5.184884e+02 1.409832e+03 8.571512e+02
#> 103 1.769479e+00 2.525278e+01 1.903865e+02 5.864419e+02 3.602446e+02
#> 106 4.550701e-01 7.572807e+00 6.680959e+01 2.321865e+02 1.437538e+02
#> 109 1.139893e-01 2.192474e+00 2.249512e+01 8.779481e+01 5.468403e+01
#> 112 2.788703e-02 6.152598e-01 7.295152e+00 3.181037e+01 1.990549e+01
#> 115 6.679158e-03 1.679401e-01 2.286753e+00 1.107992e+01 6.958356e+00
#> 118 1.569421e-03 4.472656e-02 6.951354e-01 3.721397e+00 2.343726e+00
#> 121 3.625031e-04 1.165380e-02 2.055391e-01 1.208750e+00 7.629810e-01
#> 124 8.246484e-05 2.977732e-03 5.927737e-02 3.807216e-01 2.407507e-01
#> 127 1.851165e-05 7.476762e-04 1.671621e-02 1.165790e-01 7.382666e-02
#> 130 4.108516e-06 1.848128e-04 4.619789e-03 3.478545e-02 2.205502e-02
#> 133 9.032899e-07 4.504288e-05 1.253797e-03 1.013652e-02 6.433160e-03
#> 136 1.970872e-07 1.083940e-05 3.347720e-04 2.890505e-03 1.835956e-03
#> 139 4.291205e-08 2.578858e-06 8.808576e-05 8.081005e-04 5.136283e-04
#> 142 9.163934e-09 6.070323e-07 2.287356e-05 2.218788e-04 1.411068e-04
#> 145 2.107652e-09 1.417841e-07 5.870077e-06 5.992704e-05 3.812983e-05
#> 148 4.192457e-10 3.275031e-08 1.490341e-06 1.594497e-05 1.014952e-05
#> 151 9.414318e-11 7.571663e-09 3.748367e-07 4.185275e-06 2.664992e-06
#> 154 1.684603e-11 1.650639e-09 9.339136e-08 1.085016e-06 6.911297e-07
#> 157 6.474484e-12 4.312917e-10 2.317929e-08 2.782356e-07 1.772522e-07
#> 160 4.872865e-13 7.833513e-11 5.683246e-09 7.060987e-08 4.500065e-08
#> 163 1.195549e-13 1.733761e-11 1.375959e-09 1.774509e-08 1.131180e-08
#> 166 3.068176e-14 4.899470e-12 3.575212e-10 4.453270e-09 2.838176e-09
#> 169 6.084383e-15 9.473226e-14 6.231733e-11 1.079323e-09 6.890913e-10
#> 172 1.593529e-15 2.481083e-14 1.632120e-11 2.826798e-10 1.804763e-10
#> 175 2.897325e-16 4.511060e-15 2.967492e-12 5.139632e-11 3.281387e-11
#> 178 1.448663e-16 2.255530e-15 1.483746e-12 2.569816e-11 1.640693e-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: 0x5604e0277600>
#>
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
#> 23151858 21336669 35022055 24998057 26114409 25177073 21848253 12231297
#> 9 10 11 12 13 14 15 16
#> 9099138 9867295 38705027 85924133 148945026 121799714 56263021 36383232
#> 17 18 19 20
#> 46223362 48309788 45290446 26790354
#>
#> $N0
#> [1] 23151858.5 20948667.8 17151318.6 12706009.3 8517092.8 5165877.9
#> [7] 2835093.9 1555932.5 943720.8 632595.0
#>
#> $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
#> 1 23151858.5 21336669.0 35022055.1 24998057.1 26114408.8 25177073.3
#> 2 20948667.8 20948667.8 19306216.5 31689265.9 22619177.5 23629294.2
#> 3 17151318.6 17151318.6 17151318.6 15806593.2 25944976.5 18519016.2
#> 4 12706009.3 12706009.3 12706009.3 12706009.3 11709812.2 19220511.4
#> 5 8517092.8 8517092.8 8517092.8 8517092.8 8517092.8 7849321.9
#> 6 5165877.9 5165877.9 5165877.9 5165877.9 5165877.9 5165877.9
#> 7 2835093.9 2835093.9 2835093.9 2835093.9 2835093.9 2835093.9
#> 8 1555932.5 1555932.5 1555932.5 1555932.5 1555932.5 1555932.5
#> 9 943720.8 943720.8 943720.8 943720.8 943720.8 943720.8
#> 10 632595.0 632595.0 632595.0 632595.0 632595.0 632595.0
#> year
#> age 7 8 9 10 11
#> 1 21848253.32 12231297.385 9099137.717 9.867295e+06 3.870503e+07
#> 2 2524224.25 2190480.615 1226295.733 9.122690e+05 5.984817e+06
#> 3 2143601.21 228992.458 198715.918 1.112470e+05 5.006639e+05
#> 4 1520133.42 175957.502 18796.846 1.631160e+04 5.524364e+04
#> 5 1427576.15 112905.748 13068.993 1.396109e+03 7.329272e+03
#> 6 527517.70 95940.987 7587.889 8.783084e+02 5.676156e+02
#> 7 314137.36 32078.384 5834.177 4.614200e+02 3.231116e+02
#> 8 172402.24 19102.712 1950.689 3.547767e+02 1.697469e+02
#> 9 104567.24 11586.381 1283.808 1.310970e+02 1.442414e+02
#> 10 70093.52 7766.583 860.562 9.535298e+01 5.890569e+01
#> year
#> age 12 13 14 15 16
#> 1 8.592413e+07 1.489450e+08 1.217997e+08 5.626302e+07 3.638323e+07
#> 2 2.347579e+07 5.211562e+07 9.033973e+07 7.387526e+07 4.168067e+07
#> 3 3.284537e+06 1.288378e+07 2.860166e+07 4.957949e+07 4.952007e+07
#> 4 2.486223e+05 1.631053e+06 6.397898e+06 1.420316e+07 3.007148e+07
#> 5 2.482257e+04 1.117132e+05 7.328793e+05 2.874761e+06 7.794862e+06
#> 6 2.979860e+03 1.009210e+04 4.541920e+04 2.979665e+05 1.427564e+06
#> 7 2.088141e+02 1.096229e+03 3.712677e+03 1.670879e+04 1.338850e+05
#> 8 1.188661e+02 7.681841e+01 4.032802e+02 1.365818e+03 7.507743e+03
#> 9 6.901395e+01 4.832736e+01 3.123204e+01 1.639615e+02 6.782450e+02
#> 10 6.481186e+01 3.100997e+01 2.171488e+01 1.403346e+01 8.998397e+01
#> year
#> age 17 18 19 20
#> 1 4.622336e+07 48309788.434 45290446.16 26790354.40
#> 2 2.695336e+07 34243108.821 35788771.51 33551987.74
#> 3 2.793939e+07 18067378.339 22953842.28 23989930.97
#> 4 3.003544e+07 16946096.396 10958418.90 13922209.10
#> 5 1.650358e+07 16483798.831 9300214.89 6014107.81
#> 6 3.870814e+06 8195434.968 8185612.25 4618350.04
#> 7 6.414458e+05 1739268.700 3682446.30 3678032.67
#> 8 6.015840e+04 288220.196 781503.80 1654629.78
#> 9 3.728235e+03 29873.777 143125.91 388083.30
#> 10 3.722287e+02 2046.099 16395.08 78549.17
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.406664e-55 1.296377e-55 2.127876e-55 1.518836e-55 1.586664e-55
#> 4 1.701348e-15 1.567957e-15 2.573647e-15 1.837019e-15 1.919056e-15
#> 7 1.244854e-01 1.147253e-01 1.883103e-01 1.344122e-01 1.404147e-01
#> 10 5.196666e+04 4.789228e+04 7.861050e+04 5.611063e+04 5.861639e+04
#> 13 6.219562e+06 5.731926e+06 9.408396e+06 6.715529e+06 7.015428e+06
#> 16 1.427772e+07 1.315854e+07 2.159621e+07 1.541761e+07 1.610457e+07
#> 19 2.931194e+06 2.732229e+06 4.201446e+06 3.335304e+06 3.287302e+06
#> 22 4.477116e+06 4.471822e+06 4.166146e+06 6.742324e+06 4.838137e+06
#> 25 9.301681e+06 9.301642e+06 8.580020e+06 1.401527e+07 1.008392e+07
#> 28 6.595293e+06 6.595293e+06 6.163225e+06 9.335899e+06 7.589478e+06
#> 31 5.243985e+06 5.243985e+06 5.144151e+06 5.589654e+06 7.350177e+06
#> 34 6.338502e+06 6.338502e+06 6.327314e+06 5.961215e+06 9.260479e+06
#> 37 5.827645e+06 5.827645e+06 5.826921e+06 5.509211e+06 7.812213e+06
#> 40 5.058296e+06 5.058296e+06 5.058265e+06 4.927416e+06 5.671105e+06
#> 43 4.713672e+06 4.713672e+06 4.713671e+06 4.680019e+06 4.667104e+06
#> 46 4.237976e+06 4.237976e+06 4.237976e+06 4.231993e+06 4.091665e+06
#> 49 3.671012e+06 3.671012e+06 3.671012e+06 3.670222e+06 3.587339e+06
#> 52 3.136630e+06 3.136630e+06 3.136630e+06 3.136548e+06 3.105933e+06
#> 55 2.626191e+06 2.626191e+06 2.626191e+06 2.626184e+06 2.617754e+06
#> 58 2.147980e+06 2.147980e+06 2.147980e+06 2.147979e+06 2.146127e+06
#> 61 1.723457e+06 1.723457e+06 1.723457e+06 1.723457e+06 1.723118e+06
#> 64 1.361611e+06 1.361611e+06 1.361611e+06 1.361611e+06 1.361558e+06
#> 67 1.060665e+06 1.060665e+06 1.060665e+06 1.060665e+06 1.060657e+06
#> 70 8.124565e+05 8.124565e+05 8.124565e+05 8.124565e+05 8.124556e+05
#> 73 6.070928e+05 6.070928e+05 6.070928e+05 6.070928e+05 6.070927e+05
#> 76 4.374288e+05 4.374288e+05 4.374288e+05 4.374288e+05 4.374288e+05
#> 79 3.003294e+05 3.003294e+05 3.003294e+05 3.003294e+05 3.003294e+05
#> 82 1.946313e+05 1.946313e+05 1.946313e+05 1.946313e+05 1.946313e+05
#> 85 1.183464e+05 1.183464e+05 1.183464e+05 1.183464e+05 1.183464e+05
#> 88 6.733953e+04 6.733953e+04 6.733953e+04 6.733953e+04 6.733953e+04
#> 91 3.585312e+04 3.585312e+04 3.585312e+04 3.585312e+04 3.585312e+04
#> 94 1.789240e+04 1.789240e+04 1.789240e+04 1.789240e+04 1.789240e+04
#> 97 8.393062e+03 8.393062e+03 8.393062e+03 8.393062e+03 8.393062e+03
#> 100 3.713462e+03 3.713462e+03 3.713462e+03 3.713462e+03 3.713462e+03
#> 103 1.555488e+03 1.555488e+03 1.555488e+03 1.555488e+03 1.555488e+03
#> 106 6.192115e+02 6.192115e+02 6.192115e+02 6.192115e+02 6.192115e+02
#> 109 2.351396e+02 2.351396e+02 2.351396e+02 2.351396e+02 2.351396e+02
#> 112 8.548630e+01 8.548630e+01 8.548630e+01 8.548630e+01 8.548630e+01
#> 115 2.985669e+01 2.985669e+01 2.985669e+01 2.985669e+01 2.985669e+01
#> 118 1.004991e+01 1.004991e+01 1.004991e+01 1.004991e+01 1.004991e+01
#> 121 3.270150e+00 3.270150e+00 3.270150e+00 3.270150e+00 3.270150e+00
#> 124 1.031515e+00 1.031515e+00 1.031515e+00 1.031515e+00 1.031515e+00
#> 127 3.162391e-01 3.162391e-01 3.162391e-01 3.162391e-01 3.162391e-01
#> 130 9.445668e-02 9.445668e-02 9.445668e-02 9.445668e-02 9.445668e-02
#> 133 2.754820e-02 2.754820e-02 2.754820e-02 2.754820e-02 2.754820e-02
#> 136 7.861212e-03 7.861212e-03 7.861212e-03 7.861212e-03 7.861212e-03
#> 139 2.199104e-03 2.199104e-03 2.199104e-03 2.199104e-03 2.199104e-03
#> 142 6.041182e-04 6.041182e-04 6.041182e-04 6.041182e-04 6.041182e-04
#> 145 1.632383e-04 1.632383e-04 1.632383e-04 1.632383e-04 1.632383e-04
#> 148 4.345003e-05 4.345003e-05 4.345003e-05 4.345003e-05 4.345003e-05
#> 151 1.140861e-05 1.140861e-05 1.140861e-05 1.140861e-05 1.140861e-05
#> 154 2.958560e-06 2.958560e-06 2.958560e-06 2.958560e-06 2.958560e-06
#> 157 7.588103e-07 7.588103e-07 7.588103e-07 7.588103e-07 7.588103e-07
#> 160 1.926284e-07 1.926284e-07 1.926284e-07 1.926284e-07 1.926284e-07
#> 163 4.842105e-08 4.842105e-08 4.842105e-08 4.842105e-08 4.842105e-08
#> 166 1.214901e-08 1.214901e-08 1.214901e-08 1.214901e-08 1.214901e-08
#> 169 2.949750e-09 2.949750e-09 2.949750e-09 2.949750e-09 2.949750e-09
#> 172 7.725536e-10 7.725536e-10 7.725536e-10 7.725536e-10 7.725536e-10
#> 175 1.404643e-10 1.404643e-10 1.404643e-10 1.404643e-10 1.404643e-10
#> 178 7.023215e-11 7.023215e-11 7.023215e-11 7.023215e-11 7.023215e-11
#> year
#> length 6 7 8 9 10
#> 1 1.529713e-55 1.327460e-55 7.431512e-56 5.528469e-56 5.995188e-56
#> 4 1.850174e-15 1.605551e-15 8.988349e-16 6.686635e-16 7.251127e-16
#> 7 1.353748e-01 1.174760e-01 6.576653e-02 4.892521e-02 5.305552e-02
#> 10 5.651245e+04 4.904058e+04 2.745437e+04 2.042392e+04 2.214813e+04
#> 13 6.763620e+06 5.869359e+06 3.285840e+06 2.444411e+06 2.650770e+06
#> 16 1.552679e+07 1.347122e+07 7.541704e+06 5.610384e+06 6.083956e+06
#> 19 3.203532e+06 2.442223e+06 1.381830e+06 1.020400e+06 1.098700e+06
#> 22 5.047199e+06 5.950694e+05 4.966032e+05 2.845878e+05 2.207443e+05
#> 25 1.048742e+07 1.121642e+06 9.643059e+05 5.402795e+05 4.017934e+05
#> 28 7.387882e+06 7.995591e+05 5.907168e+05 3.351372e+05 2.470083e+05
#> 31 5.746305e+06 6.494138e+05 1.861846e+05 1.200101e+05 8.093112e+04
#> 34 7.043821e+06 7.893183e+05 9.786493e+04 7.558457e+04 4.405343e+04
#> 37 7.000919e+06 7.213640e+05 7.946824e+04 5.080941e+04 2.926558e+04
#> 40 6.769439e+06 6.265991e+05 6.912574e+04 2.441734e+04 1.490762e+04
#> 43 6.426081e+06 6.057088e+05 6.476838e+04 1.135924e+04 7.296768e+03
#> 46 5.330773e+06 5.812196e+05 5.853604e+04 7.132202e+03 3.826847e+03
#> 49 4.095541e+06 5.266823e+05 5.179722e+04 5.661426e+03 1.937389e+03
#> 52 3.203899e+06 4.430379e+05 4.605379e+04 4.810270e+03 9.726255e+02
#> 55 2.593484e+06 3.465687e+05 3.996456e+04 4.089319e+03 5.608251e+02
#> 58 2.116275e+06 2.612292e+05 3.287023e+04 3.430256e+03 3.900171e+02
#> 61 1.708174e+06 1.972465e+05 2.553442e+04 2.817343e+03 3.012555e+02
#> 64 1.356171e+06 1.512537e+05 1.906884e+04 2.239729e+03 2.393665e+02
#> 67 1.059083e+06 1.168273e+05 1.402820e+04 1.713488e+03 1.887043e+02
#> 70 8.120631e+05 8.952506e+04 1.030758e+04 1.265071e+03 1.448956e+02
#> 73 6.070066e+05 6.704431e+04 7.528467e+03 9.058115e+02 1.070056e+02
#> 76 4.374118e+05 4.838867e+04 5.373372e+03 6.289275e+02 7.533906e+01
#> 79 3.003263e+05 3.325302e+04 3.679387e+03 4.205897e+02 5.027926e+01
#> 82 1.946308e+05 2.155912e+04 2.384276e+03 2.682230e+02 3.168511e+01
#> 85 1.183463e+05 1.311151e+04 1.450621e+03 1.616893e+02 1.880727e+01
#> 88 6.733952e+04 7.461059e+03 8.258857e+02 9.162359e+01 1.050031e+01
#> 91 3.585312e+04 3.972560e+03 4.399025e+02 4.870176e+01 5.513058e+00
#> 94 1.789240e+04 1.982518e+03 2.195897e+02 2.429362e+01 2.724522e+00
#> 97 8.393062e+03 9.299747e+02 1.030225e+02 1.139673e+01 1.269701e+00
#> 100 3.713462e+03 4.114628e+02 4.558586e+01 5.043797e+00 5.594225e-01
#> 103 1.555488e+03 1.723529e+02 1.909592e+01 2.113387e+00 2.337336e-01
#> 106 6.192115e+02 6.861058e+01 7.601965e+00 8.415356e-01 9.291171e-02
#> 109 2.351396e+02 2.605421e+01 2.886821e+00 3.196387e-01 3.525762e-02
#> 112 8.548630e+01 9.472152e+00 1.049530e+00 1.162276e-01 1.281516e-02
#> 115 2.985669e+01 3.308215e+00 3.665578e-01 4.059897e-02 4.476061e-03
#> 118 1.004991e+01 1.113562e+00 1.233856e-01 1.366726e-02 1.507017e-03
#> 121 3.270150e+00 3.623430e-01 4.014863e-02 4.447555e-03 4.905304e-04
#> 124 1.031515e+00 1.142952e-01 1.266424e-02 1.402991e-03 1.547872e-04
#> 127 3.162391e-01 3.504029e-02 3.882571e-03 4.301441e-04 4.747237e-05
#> 130 9.445668e-02 1.046610e-02 1.159676e-03 1.284829e-04 1.418472e-05
#> 133 2.754820e-02 3.052427e-03 3.382184e-04 3.747282e-05 4.138430e-06
#> 136 7.861212e-03 8.710471e-04 9.651475e-05 1.069352e-05 1.181342e-06
#> 139 2.199104e-03 2.436676e-04 2.699914e-05 2.991457e-06 3.305703e-07
#> 142 6.041182e-04 6.693820e-05 7.416963e-06 8.217949e-07 9.083639e-08
#> 145 1.632383e-04 1.808732e-05 2.004132e-06 2.220585e-07 2.455096e-08
#> 148 4.345003e-05 4.814401e-06 5.334508e-07 5.910682e-08 6.536326e-09
#> 151 1.140861e-05 1.264110e-06 1.400674e-07 1.551965e-08 1.716587e-09
#> 154 2.958560e-06 3.278178e-07 3.632325e-08 4.024694e-09 4.452255e-10
#> 157 7.588103e-07 8.407857e-08 9.316171e-09 1.032243e-09 1.142178e-10
#> 160 1.926284e-07 2.134384e-08 2.364964e-09 2.620455e-10 2.899585e-11
#> 163 4.842105e-08 5.365205e-09 5.944817e-10 6.587044e-11 7.289986e-12
#> 166 1.214901e-08 1.346149e-09 1.491576e-10 1.652713e-11 1.828782e-12
#> 169 2.949750e-09 3.268416e-10 3.621509e-11 4.012746e-12 4.446249e-13
#> 172 7.725536e-10 8.560138e-11 9.484904e-12 1.050957e-12 1.164494e-13
#> 175 1.404643e-10 1.556389e-11 1.724528e-12 1.910831e-13 2.117262e-14
#> 178 7.023215e-11 7.781944e-12 8.622640e-13 9.554157e-14 1.058631e-14
#> year
#> length 11 12 13 14 15
#> 1 2.351646e-55 5.220593e-55 9.049627e-55 7.400327e-55 3.418438e-55
#> 4 2.844296e-15 6.314262e-15 1.094544e-14 8.950631e-15 4.134571e-15
#> 7 2.081133e-01 4.620060e-01 8.008634e-01 6.549056e-01 3.025210e-01
#> 10 8.687729e+04 1.928653e+05 3.343220e+05 2.733916e+05 1.262880e+05
#> 13 1.039780e+07 2.308283e+07 4.001289e+07 3.272052e+07 1.511461e+07
#> 16 2.386502e+07 5.298122e+07 9.184190e+07 7.511075e+07 3.470073e+07
#> 19 4.354912e+06 9.859189e+06 1.730493e+07 1.504750e+07 7.554701e+06
#> 22 1.372224e+06 5.190550e+06 1.140151e+07 1.936675e+07 1.571338e+07
#> 25 2.634102e+06 1.033820e+07 2.298010e+07 3.986604e+07 3.274225e+07
#> 28 1.605994e+06 6.382939e+06 1.452302e+07 2.557104e+07 2.256492e+07
#> 31 4.783759e+05 2.178272e+06 6.117625e+06 1.205126e+07 1.587489e+07
#> 34 2.104228e+05 1.268902e+06 4.728159e+06 1.042157e+07 1.761194e+07
#> 37 1.301812e+05 8.321593e+05 3.331896e+06 7.749071e+06 1.380915e+07
#> 40 6.269793e+04 3.823854e+05 1.660524e+06 4.382169e+06 8.408148e+06
#> 43 2.805101e+04 1.512546e+05 7.702438e+05 2.501257e+06 5.328866e+06
#> 46 1.391377e+04 6.567871e+04 3.823533e+05 1.457976e+06 3.416997e+06
#> 49 7.004005e+03 3.022552e+04 1.802794e+05 7.641825e+05 2.000472e+06
#> 52 3.376143e+03 1.358913e+04 7.655779e+04 3.603766e+05 1.087992e+06
#> 55 1.595264e+03 6.052037e+03 3.090418e+04 1.611724e+05 5.640983e+05
#> 58 7.586734e+02 2.716631e+03 1.252307e+04 6.950995e+04 2.760215e+05
#> 61 3.788654e+02 1.218641e+03 5.146299e+03 2.863685e+04 1.261827e+05
#> 64 2.127760e+02 5.454683e+02 2.125918e+03 1.128357e+04 5.421874e+04
#> 67 1.383485e+02 2.497057e+02 8.797484e+02 4.324298e+03 2.215745e+04
#> 70 9.921295e+01 1.226602e+02 3.659448e+02 1.642775e+03 8.690413e+03
#> 73 7.304271e+01 6.745847e+01 1.544869e+02 6.260168e+02 3.294154e+03
#> 76 5.251738e+01 4.126001e+01 6.733221e+01 2.404926e+02 1.216735e+03
#> 79 3.590034e+01 2.658533e+01 3.086524e+01 9.334859e+01 4.423077e+02
#> 82 2.303307e+01 1.703272e+01 1.495929e+01 3.668851e+01 1.597495e+02
#> 85 1.379742e+01 1.046072e+01 7.539974e+00 1.462712e+01 5.768496e+01
#> 88 7.710325e+00 6.052776e+00 3.837295e+00 5.914023e+00 2.086303e+01
#> 91 4.026199e+00 3.279615e+00 1.917956e+00 2.415431e+00 7.541739e+00
#> 94 1.970489e+00 1.663296e+00 9.241350e-01 9.889621e-01 2.712891e+00
#> 97 9.072151e-01 7.913282e-01 4.251030e-01 4.020251e-01 9.661854e-01
#> 100 3.944763e-01 3.543840e-01 1.860073e-01 1.607450e-01 3.391234e-01
#> 103 1.626437e-01 1.499777e-01 7.740893e-02 6.274175e-02 1.168853e-01
#> 106 6.383337e-02 6.022479e-02 3.069279e-02 2.378414e-02 3.946276e-02
#> 109 2.393692e-02 2.303842e-02 1.162560e-02 8.731491e-03 1.303167e-02
#> 112 8.606499e-03 8.427925e-03 4.219272e-03 3.100909e-03 4.206422e-03
#> 115 2.976851e-03 2.959030e-03 1.471805e-03 1.065528e-03 1.327120e-03
#> 118 9.935741e-04 1.000477e-03 4.949653e-04 3.546075e-04 4.094207e-04
#> 121 3.209253e-04 3.267832e-04 1.609435e-04 1.144685e-04 1.235955e-04
#> 124 1.005838e-04 1.034122e-04 5.073840e-05 3.590428e-05 3.654325e-05
#> 127 3.066541e-05 3.179153e-05 1.554808e-05 1.096349e-05 1.059342e-05
#> 130 9.115139e-06 9.518238e-06 4.642240e-06 3.265331e-06 3.014203e-06
#> 133 2.647253e-06 2.781636e-06 1.353468e-06 9.503864e-07 8.427715e-07
#> 136 7.526630e-07 7.951656e-07 3.861226e-07 2.708064e-07 2.318197e-07
#> 139 2.098796e-07 2.227773e-07 1.079890e-07 7.567583e-08 6.280460e-08
#> 142 5.749588e-08 6.127967e-08 2.965969e-08 2.077281e-08 1.677480e-08
#> 145 1.549816e-08 1.657717e-08 8.012992e-09 5.610212e-09 4.424143e-09
#> 148 4.116448e-09 4.416812e-09 2.132513e-09 1.492608e-09 1.152050e-09
#> 151 1.078832e-09 1.160717e-09 5.598569e-10 3.918241e-10 2.969035e-10
#> 154 2.793103e-10 3.012361e-10 1.451692e-10 1.015566e-10 7.559853e-11
#> 157 7.153739e-11 7.730847e-11 3.722924e-11 2.606820e-11 1.920429e-11
#> 160 1.813733e-11 1.963723e-11 9.450034e-12 6.608162e-12 4.781391e-12
#> 163 4.552653e-12 4.939421e-12 2.375218e-12 1.661230e-12 1.185324e-12
#> 166 1.143802e-12 1.238570e-12 5.960065e-13 4.167770e-13 3.012713e-13
#> 169 2.746735e-13 3.022136e-13 1.445975e-13 1.012551e-13 6.543713e-14
#> 172 7.193830e-14 7.915118e-14 3.787078e-14 2.651920e-14 1.713830e-14
#> 175 1.307969e-14 1.439112e-14 6.885596e-15 4.821672e-15 3.116054e-15
#> 178 6.539845e-15 7.195562e-15 3.442798e-15 2.410836e-15 1.558027e-15
#> year
#> length 16 17 18 19 20
#> 1 2.210578e-55 2.808447e-55 2.935214e-55 2.751764e-55 1.627733e-55
#> 4 2.673675e-15 3.396792e-15 3.550116e-15 3.328235e-15 1.968729e-15
#> 7 1.956292e-01 2.485387e-01 2.597572e-01 2.435225e-01 1.440492e-01
#> 10 8.166579e+04 1.037529e+05 1.084361e+05 1.016589e+05 6.013362e+04
#> 13 9.774066e+06 1.241754e+07 1.297804e+07 1.216692e+07 7.197015e+06
#> 16 2.243879e+07 2.850367e+07 2.979117e+07 2.792978e+07 1.652295e+07
#> 19 4.770927e+06 5.572876e+06 5.938497e+06 5.636578e+06 3.566750e+06
#> 22 8.881237e+06 5.808957e+06 7.347906e+06 7.664818e+06 7.140314e+06
#> 25 1.859086e+07 1.200028e+07 1.515060e+07 1.585653e+07 1.487864e+07
#> 28 1.409464e+07 8.858617e+06 1.015111e+07 1.086504e+07 1.034251e+07
#> 31 1.397015e+07 8.145165e+06 6.278979e+06 7.464293e+06 7.577236e+06
#> 34 1.793305e+07 1.060611e+07 6.888395e+06 8.322130e+06 8.756860e+06
#> 37 1.586924e+07 1.071722e+07 6.646582e+06 7.005809e+06 7.621722e+06
#> 40 1.244810e+07 1.060663e+07 6.437215e+06 5.222996e+06 5.945778e+06
#> 43 1.006933e+07 1.039770e+07 6.681081e+06 4.493689e+06 4.959690e+06
#> 46 7.338320e+06 8.965178e+06 6.636461e+06 4.194739e+06 4.006143e+06
#> 49 4.680374e+06 6.948812e+06 6.188078e+06 3.993793e+06 3.155800e+06
#> 52 2.785918e+06 4.995022e+06 5.340769e+06 3.769874e+06 2.610295e+06
#> 55 1.594157e+06 3.300314e+06 4.194560e+06 3.398356e+06 2.275591e+06
#> 58 8.675718e+05 1.998296e+06 3.001969e+06 2.853425e+06 2.005396e+06
#> 61 4.451975e+05 1.125102e+06 1.973125e+06 2.206726e+06 1.718084e+06
#> 64 2.156737e+05 5.979423e+05 1.198481e+06 1.568518e+06 1.394628e+06
#> 67 9.886568e+04 3.019512e+05 6.773860e+05 1.028531e+06 1.058057e+06
#> 70 4.295224e+04 1.451023e+05 3.594432e+05 6.262334e+05 7.465587e+05
#> 73 1.774315e+04 6.641902e+04 1.806509e+05 3.565648e+05 4.901366e+05
#> 76 7.009033e+03 2.901502e+04 8.656676e+04 1.911850e+05 3.003771e+05
#> 79 2.666614e+03 1.212936e+04 3.971499e+04 9.715349e+04 1.725775e+05
#> 82 9.843552e+02 4.867932e+03 1.748693e+04 4.704169e+04 9.336578e+04
#> 85 3.550764e+02 1.882512e+03 7.402486e+03 2.179157e+04 4.775628e+04
#> 88 1.259740e+02 7.042414e+02 3.017355e+03 9.684636e+03 2.317517e+04
#> 91 4.419116e+01 2.558476e+02 1.186203e+03 4.136747e+03 1.070129e+04
#> 94 1.538158e+01 9.058299e+01 4.505054e+02 1.700464e+03 4.713564e+03
#> 97 5.318909e+00 3.134627e+01 1.655699e+02 6.733963e+02 1.984782e+03
#> 100 1.825690e+00 1.062561e+01 5.898219e+01 2.571806e+02 8.005887e+02
#> 103 6.205836e-01 3.533387e+00 2.039902e+01 9.484011e+01 3.099555e+02
#> 106 2.082833e-01 1.153626e+00 6.859692e+00 3.381573e+01 1.154110e+02
#> 109 6.882455e-02 3.699463e-01 2.246115e+00 1.167515e+01 4.141262e+01
#> 112 2.233875e-02 1.165335e-01 7.171160e-01 3.909396e+00 1.434993e+01
#> 115 7.110613e-03 3.605682e-02 2.235385e-01 1.271670e+00 4.811708e+00
#> 118 2.217706e-03 1.095825e-02 6.812082e-02 4.025145e-01 1.564508e+00
#> 121 6.775342e-04 3.271508e-03 2.031971e-02 1.241813e-01 4.942761e-01
#> 124 2.028041e-04 9.596395e-04 5.940177e-03 3.740357e-02 1.520322e-01
#> 127 5.950872e-05 2.766880e-04 1.703919e-03 1.101665e-02 4.561500e-02
#> 130 1.713118e-05 7.845618e-05 4.801515e-04 3.177906e-03 1.337469e-02
#> 133 4.842919e-06 2.189293e-05 1.330717e-04 8.991590e-04 3.839045e-03
#> 136 1.345848e-06 6.016582e-06 3.631260e-05 2.498946e-04 1.080556e-03
#> 139 3.680768e-07 1.629808e-06 9.767165e-06 6.831179e-05 2.987007e-04
#> 142 9.916068e-08 4.354709e-07 2.591993e-06 1.839088e-05 8.121346e-05
#> 145 2.636097e-08 1.149552e-07 6.795916e-07 4.882688e-06 2.174893e-05
#> 148 6.912531e-09 2.995849e-08 1.760674e-07 1.279551e-06 5.743794e-06
#> 151 1.792935e-09 7.731196e-09 4.516934e-08 3.314674e-07 1.497946e-06
#> 154 4.592422e-10 1.968548e-09 1.144567e-08 8.486551e-08 3.860046e-07
#> 157 1.172021e-10 5.023904e-10 2.902664e-09 2.159297e-08 9.859420e-08
#> 160 2.933327e-11 1.246181e-10 7.183362e-10 5.413976e-09 2.488106e-08
#> 163 7.310467e-12 3.095757e-11 1.774600e-10 1.347160e-09 6.222963e-09
#> 166 1.848939e-12 7.853202e-12 4.525095e-11 3.412176e-10 1.568692e-09
#> 169 4.195896e-13 1.735679e-12 9.540829e-12 7.644920e-11 3.662698e-10
#> 172 1.098925e-13 4.545826e-13 2.498789e-12 2.002241e-11 9.592780e-11
#> 175 1.998045e-14 8.265139e-14 4.543252e-13 3.640438e-12 1.744142e-11
#> 178 9.990227e-15 4.132569e-14 2.271626e-13 1.820219e-12 8.720709e-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: 0x5604dfb93278>
#>
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
#> 49898998 27206489 31382356 35632217 35662203 36534274 34898358 25573509
#> 9 10 11 12 13 14 15 16
#> 22337873 15341182 6130625 14919962 27999943 33403770 25745558 38834085
#> 17 18 19 20
#> 35510667 36810971 35762519 76592559
#>
#> $N0
#> [1] 4.989900e+07 1.327107e+07 4.052860e+06 1.144419e+06 2.921668e+05
#> [6] 9.654234e+04 3.753413e+04 1.183194e+04 3.810239e+03 1.536405e+03
#> [11] 4.981469e+02 2.114718e+02 9.705746e+01 4.750784e+01 2.201468e+01
#> [16] 8.368649e+00 3.235624e+00 1.198900e+00 4.317881e-01 1.802800e-01
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 1.3244144 1.1970456 0.3420316 0.5056980 0.4159626 0.6386088 0.7588428
#> 2 1.1861637 0.9308595 0.3021568 0.3391426 0.2749600 0.5699383 0.8114848
#> 3 1.2645254 0.8692961 0.2441986 0.2506990 0.2632660 0.6842164 1.1853359
#> 4 1.3653281 0.9627815 0.2509466 0.2354095 0.3890209 0.9190975 1.1409435
#> 5 1.1073431 0.9552384 0.3182074 0.2634407 0.3326521 0.7388176 1.0428090
#> 6 0.9447311 0.8420739 0.2100776 0.1621204 0.2803010 0.7375986 0.6922818
#> 7 1.1544477 0.5297523 0.1316720 0.1059839 0.2453901 0.6590785 0.5341957
#> 8 1.1331109 0.7452301 0.1486229 0.1424081 0.3477910 0.8324380 0.7338802
#> 9 0.9082468 0.4684586 0.1203686 0.1861802 0.3838286 0.9824700 1.2578831
#> 10 1.1263054 0.4703151 0.1671326 0.1925369 0.4649038 1.1786651 1.4748041
#> 11 0.8568034 0.4384805 0.1527068 0.2570310 0.5214944 1.0738932 1.1760223
#> 12 0.7787884 0.3694253 0.1945387 0.3042423 0.4801720 1.0673219 1.0009651
#> 13 0.7144084 0.5833456 0.2826693 0.4106290 0.4090616 0.8536886 0.7014257
#> 14 0.7691851 0.5300853 0.3010848 0.6474572 0.4977984 0.7991102 0.8074400
#> 15 0.9672172 0.6609054 0.5082799 0.8015580 0.4874993 0.8249200 0.7941264
#> 16 0.9502706 0.4821717 0.4388749 0.6672660 0.3297778 0.5028684 0.7189415
#> 17 0.9928172 0.6789960 0.5370745 0.5683038 0.3918443 0.6759533 0.7989229
#> 18 1.0212248 0.9925518 0.5575605 0.6068602 0.3298649 0.6965051 0.9643685
#> 19 0.8734238 0.7946799 0.6286865 0.4958383 0.2802645 0.5685157 0.6841671
#> 20 1.1202426 0.9465509 0.7661162 0.5967575 0.2644233 0.7821830 0.8653950
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.6609437 0.4595927 0.2613037 0.1433915 0.2826309 0.1519387 0.1448514
#> 2 0.6359730 0.3544702 0.2031861 0.1227397 0.2341990 0.1745040 0.1495821
#> 3 0.8408941 0.5851742 0.2591064 0.1376988 0.1726776 0.1646950 0.1440816
#> 4 0.9971746 0.7545056 0.2415492 0.1474875 0.2017811 0.2056084 0.1058862
#> 5 0.6704628 0.5912227 0.2103971 0.1311603 0.1394503 0.1626251 0.1258035
#> 6 0.4640287 0.4719267 0.2430744 0.1912380 0.2292149 0.2485853 0.1715306
#> 7 0.3506858 0.4624252 0.2692064 0.2549278 0.2490273 0.2308462 0.1863771
#> 8 0.3709271 0.4188143 0.2391622 0.1747704 0.2474562 0.2296465 0.2734104
#> 9 0.4539307 0.4986088 0.2598634 0.2533676 0.2700780 0.2268831 0.3367799
#> 10 0.3910975 0.3953179 0.2529578 0.2831485 0.3638855 0.3586956 0.4956676
#> 11 0.4940754 0.4619697 0.1738060 0.2318630 0.3408411 0.3968133 0.5317016
#> 12 0.5675336 0.3313184 0.1642580 0.2979552 0.3712578 0.4148492 0.4962312
#> 13 0.3464773 0.2801526 0.1484539 0.2822605 0.3666691 0.5381149 0.6215519
#> 14 0.2779787 0.1970166 0.1793623 0.3521475 0.3849261 0.7826502 0.7538763
#> 15 0.3835716 0.2532421 0.2487411 0.2628378 0.3884598 1.0596808 1.0103698
#> 16 0.4119527 0.2920915 0.3290566 0.2813317 0.2668001 0.6855614 0.7268154
#> 17 0.3827429 0.2714078 0.3910896 0.2172255 0.2106035 0.5587600 0.6826768
#> 18 0.4712687 0.2212488 0.3104922 0.1876617 0.1993790 0.5085894 0.4648978
#> 19 0.2959103 0.2115428 0.4028990 0.1839201 0.2615072 0.6064441 0.6675279
#> 20 0.3083553 0.1816035 0.3873641 0.2437092 0.3923910 0.6636100 0.6734442
#> year
#> age 15 16 17 18 19 20
#> 1 0.2586765 0.2623981 0.3217468 0.3140937 0.5052538 0.3568201
#> 2 0.2290175 0.3599032 0.3213564 0.3987447 0.5660571 0.3998179
#> 3 0.2545429 0.3428355 0.3931058 0.4596431 0.3926645 0.2562678
#> 4 0.1518536 0.2495524 0.3387742 0.4974016 0.3994691 0.4207978
#> 5 0.2228568 0.3026176 0.3863232 0.6391386 0.4957190 0.6586327
#> 6 0.2295271 0.2877500 0.3955435 0.8171464 0.6123802 0.8271006
#> 7 0.3520385 0.3882194 0.5100729 0.8842953 0.7061688 0.8168386
#> 8 0.5270844 0.5909051 0.6197618 1.0003622 0.8121174 1.0565409
#> 9 0.4132501 0.4368921 0.5109983 0.8176480 0.5484480 0.7226630
#> 10 0.7619802 0.7512575 0.6070786 0.6840499 0.4497498 0.5588114
#> 11 0.8065165 0.5068786 0.3919719 0.8456729 0.5793478 0.7843289
#> 12 0.6688626 0.3431754 0.2961114 0.6528631 0.3910050 0.6192828
#> 13 0.5883414 0.2252115 0.2699480 0.4327666 0.2747320 0.5709321
#> 14 0.5158190 0.2451211 0.3091817 0.5087612 0.3080729 0.5674094
#> 15 0.7688090 0.2842189 0.3556701 0.4964339 0.2961985 0.5409045
#> 16 0.8682626 0.2308545 0.2084999 0.3426627 0.2048397 0.5102654
#> 17 0.8573190 0.2002348 0.1330475 0.2830025 0.1944097 0.5631467
#> 18 0.4311929 0.1642423 0.1187736 0.1872568 0.1825267 0.4035146
#> 19 0.4371551 0.2009392 0.1192763 0.2137067 0.2063444 0.5139742
#> 20 0.5195984 0.2829931 0.2320653 0.3604925 0.4448774 0.7446914
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 4.989900e+07 2.720649e+07 3.138236e+07 3.563222e+07 3.566220e+07
#> 2 1.327107e+07 1.327107e+07 8.218683e+06 2.229170e+07 2.148924e+07
#> 3 4.052860e+06 4.052860e+06 5.231652e+06 6.075432e+06 1.588018e+07
#> 4 1.144419e+06 1.144419e+06 1.699148e+06 4.098120e+06 4.728245e+06
#> 5 2.921668e+05 2.921668e+05 4.369729e+05 1.322045e+06 3.238528e+06
#> 6 9.654234e+04 9.654234e+04 1.124025e+05 3.178768e+05 1.015864e+06
#> 7 3.753413e+04 3.753413e+04 4.159200e+04 9.110463e+04 2.703030e+05
#> 8 1.183194e+04 1.183194e+04 2.209825e+04 3.646073e+04 8.194307e+04
#> 9 3.810239e+03 3.810239e+03 5.615736e+03 1.904635e+04 3.162120e+04
#> 10 1.536405e+03 1.536405e+03 2.385081e+03 4.978875e+03 1.581083e+04
#> 11 4.981469e+02 4.981469e+02 9.599540e+02 2.017988e+03 4.106895e+03
#> 12 2.114718e+02 2.114718e+02 3.213126e+02 8.240066e+02 1.560599e+03
#> 13 9.705746e+01 9.705746e+01 1.461548e+02 2.645091e+02 6.078549e+02
#> 14 4.750784e+01 4.750784e+01 5.416081e+01 1.101670e+02 1.754312e+02
#> 15 2.201468e+01 2.201468e+01 2.796096e+01 4.007981e+01 5.765862e+01
#> 16 8.368649e+00 8.368649e+00 1.136802e+01 1.681934e+01 1.798098e+01
#> 17 3.235624e+00 3.235624e+00 5.167147e+00 7.329662e+00 8.630163e+00
#> 18 1.198900e+00 1.198900e+00 1.640869e+00 3.019968e+00 4.152147e+00
#> 19 4.317881e-01 4.317881e-01 4.443480e-01 9.395684e-01 1.646062e+00
#> 20 1.802800e-01 1.802800e-01 1.950499e-01 2.369671e-01 5.722536e-01
#> year
#> age 6 7 8 9 10
#> 1 3.653427e+07 3.489836e+07 2.557351e+07 2.233787e+07 1.534118e+07
#> 2 2.352653e+07 1.929107e+07 1.633969e+07 1.320524e+07 1.410728e+07
#> 3 1.632328e+07 1.330567e+07 8.569054e+06 8.650559e+06 9.264067e+06
#> 4 1.220451e+07 8.234855e+06 4.066793e+06 3.696045e+06 4.818438e+06
#> 5 3.204427e+06 4.868121e+06 2.631180e+06 1.500322e+06 1.738039e+06
#> 6 2.322088e+06 1.530685e+06 1.715834e+06 1.345774e+06 8.306534e+05
#> 7 7.675424e+05 1.110564e+06 7.660054e+05 1.078823e+06 8.394929e+05
#> 8 2.114848e+05 3.970710e+05 6.509468e+05 5.394248e+05 6.793934e+05
#> 9 5.787200e+04 9.199325e+04 1.906111e+05 4.492146e+05 3.548478e+05
#> 10 2.154188e+04 2.166642e+04 2.614955e+04 1.210622e+05 2.728417e+05
#> 11 9.932294e+03 6.628204e+03 4.957788e+03 1.768532e+04 8.153125e+04
#> 12 2.437987e+03 3.393623e+03 2.044824e+03 3.024919e+03 1.114248e+04
#> 13 9.655067e+02 8.384929e+02 1.247240e+03 1.159256e+03 2.171821e+03
#> 14 4.037818e+02 4.111526e+02 4.157900e+02 8.820168e+02 8.760127e+02
#> 15 1.066389e+02 1.815924e+02 1.833734e+02 3.148832e+02 7.242919e+02
#> 16 3.541164e+01 4.673664e+01 8.207538e+01 1.249549e+02 2.444375e+02
#> 17 1.292983e+01 2.141672e+01 2.277326e+01 5.436309e+01 9.330385e+01
#> 18 5.832345e+00 6.577032e+00 9.633525e+00 1.553109e+01 4.144129e+01
#> 19 2.985480e+00 2.906396e+00 2.507322e+00 6.013341e+00 1.244844e+01
#> 20 1.243738e+00 1.690873e+00 1.466307e+00 1.865082e+00 4.866805e+00
#> year
#> age 11 12 13 14 15
#> 1 6.130625e+06 1.491996e+07 2.799994e+07 3.340377e+07 2.574556e+07
#> 2 1.181343e+07 5.311664e+06 1.124664e+07 2.405310e+07 2.889930e+07
#> 3 1.151332e+07 1.044891e+07 4.202612e+06 9.445752e+06 2.071135e+07
#> 4 7.149460e+06 1.003226e+07 8.791804e+06 3.564455e+06 8.178293e+06
#> 5 3.784450e+06 6.169077e+06 8.199104e+06 7.157863e+06 3.206324e+06
#> 6 1.408268e+06 3.319255e+06 5.366087e+06 6.968499e+06 6.311718e+06
#> 7 6.514094e+05 1.163139e+06 2.639331e+06 4.185029e+06 5.870086e+06
#> 8 6.413605e+05 5.048243e+05 9.067353e+05 2.095263e+06 3.473409e+06
#> 9 5.348777e+05 5.385182e+05 3.941590e+05 7.206863e+05 1.594035e+06
#> 10 2.736434e+05 4.151627e+05 4.110617e+05 3.141502e+05 5.146176e+05
#> 11 2.118618e+05 2.061651e+05 2.885259e+05 2.871623e+05 1.913690e+05
#> 12 6.852375e+04 1.680180e+05 1.466188e+05 1.940220e+05 1.687378e+05
#> 13 9.454653e+03 5.086755e+04 1.159099e+05 9.683291e+04 1.181247e+05
#> 14 1.872196e+03 7.129538e+03 3.525319e+04 6.767375e+04 5.200995e+04
#> 15 7.321741e+02 1.316484e+03 4.851657e+03 1.611750e+04 3.184314e+04
#> 16 5.647897e+02 5.629442e+02 8.927085e+02 1.681421e+03 5.868130e+03
#> 17 1.758978e+02 4.262908e+02 4.311174e+02 4.497531e+02 8.128767e+02
#> 18 6.310321e+01 1.415535e+02 3.453361e+02 2.465637e+02 2.272434e+02
#> 19 3.038003e+01 5.230594e+01 1.159662e+02 2.076655e+02 1.548911e+02
#> 20 8.320283e+00 2.527625e+01 4.026984e+01 6.323477e+01 1.065273e+02
#> year
#> age 16 17 18 19 20
#> 1 3.883409e+07 3.551067e+07 3.681097e+07 35762519.390 76592558.872
#> 2 1.987744e+07 2.987136e+07 2.574103e+07 26888596.160 21577403.300
#> 3 2.298404e+07 1.386937e+07 2.166166e+07 17276403.637 15266259.664
#> 4 1.605690e+07 1.631303e+07 9.361230e+06 13679532.838 11665982.493
#> 5 7.026086e+06 1.251073e+07 1.162537e+07 5692645.533 9174534.751
#> 6 2.565795e+06 5.191446e+06 8.501675e+06 6135254.210 3467577.034
#> 7 5.017244e+06 1.924215e+06 3.495473e+06 3755107.072 3325670.426
#> 8 4.128156e+06 3.403014e+06 1.155398e+06 1443648.229 1853263.307
#> 9 2.050435e+06 2.286279e+06 1.831068e+06 424893.426 640860.134
#> 10 1.054449e+06 1.324666e+06 1.371531e+06 808359.472 245522.944
#> 11 2.401933e+05 4.974606e+05 7.218640e+05 692032.346 515561.733
#> 12 8.542913e+04 1.446859e+05 3.361456e+05 309873.413 387720.556
#> 13 8.644285e+04 6.061314e+04 1.076036e+05 174981.711 209591.180
#> 14 6.558841e+04 6.901142e+04 4.627323e+04 69803.711 132946.851
#> 15 3.105053e+04 5.133013e+04 5.065765e+04 27821.316 51296.075
#> 16 1.476136e+04 2.336869e+04 3.596721e+04 30835.183 20689.038
#> 17 2.462737e+03 1.171838e+04 1.897073e+04 25532.320 25123.826
#> 18 3.449020e+02 2.015845e+03 1.025854e+04 14294.785 21021.283
#> 19 1.476477e+02 2.926619e+02 1.790088e+03 8506.701 11909.877
#> 20 1.000397e+02 1.207702e+02 2.597557e+02 1445.649 6920.651
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 3.031772e-55 1.653016e-55 1.906734e-55 2.164948e-55 2.166770e-55
#> 4 3.666901e-15 1.999309e-15 2.306179e-15 2.618486e-15 2.620690e-15
#> 7 2.683022e-01 1.462867e-01 1.687400e-01 1.915911e-01 1.917523e-01
#> 10 1.120033e+05 6.106768e+04 7.044083e+04 7.998007e+04 8.004737e+04
#> 13 1.340497e+07 7.308806e+06 8.430619e+06 9.572311e+06 9.580366e+06
#> 16 3.076790e+07 1.677652e+07 1.935046e+07 2.197286e+07 2.199123e+07
#> 19 5.718757e+06 3.231409e+06 3.594228e+06 4.324402e+06 4.312618e+06
#> 22 2.938351e+06 2.872163e+06 1.821374e+06 4.794995e+06 4.627220e+06
#> 25 5.856273e+06 5.855785e+06 3.641594e+06 9.831881e+06 9.532608e+06
#> 28 3.747082e+06 3.747080e+06 2.492460e+06 6.248212e+06 6.655928e+06
#> 31 1.737216e+06 1.737216e+06 1.701689e+06 2.759784e+06 4.953384e+06
#> 34 1.488385e+06 1.488385e+06 1.868411e+06 2.331684e+06 5.633516e+06
#> 37 1.130158e+06 1.130158e+06 1.484092e+06 2.009568e+06 4.457488e+06
#> 40 6.852266e+05 6.852266e+05 9.406273e+05 1.639267e+06 2.809502e+06
#> 43 4.374090e+05 4.374090e+05 6.298082e+05 1.382040e+06 1.990773e+06
#> 46 2.896590e+05 2.896590e+05 4.260390e+05 1.050613e+06 1.597996e+06
#> 49 1.827409e+05 1.827409e+05 2.685429e+05 7.111509e+05 1.291697e+06
#> 52 1.137281e+05 1.137281e+05 1.637785e+05 4.567708e+05 9.934413e+05
#> 55 7.233738e+04 7.233738e+04 1.001418e+05 2.852537e+05 7.069746e+05
#> 58 4.680928e+04 4.680928e+04 6.174711e+04 1.732565e+05 4.674349e+05
#> 61 3.044764e+04 3.044764e+04 3.870363e+04 1.036955e+05 2.936518e+05
#> 64 1.971838e+04 1.971838e+04 2.486097e+04 6.242035e+04 1.789146e+05
#> 67 1.260194e+04 1.260194e+04 1.627405e+04 3.829153e+04 1.072083e+05
#> 70 7.902273e+03 7.902273e+03 1.068072e+04 2.398051e+04 6.386765e+04
#> 73 4.856713e+03 4.856713e+03 6.914280e+03 1.521538e+04 3.814153e+04
#> 76 2.932658e+03 2.932658e+03 4.372482e+03 9.657512e+03 2.291388e+04
#> 79 1.746501e+03 1.746501e+03 2.695143e+03 6.056090e+03 1.381519e+04
#> 82 1.029422e+03 1.029422e+03 1.623854e+03 3.720167e+03 8.304072e+03
#> 85 6.019929e+02 6.019929e+02 9.608682e+02 2.230389e+03 4.936950e+03
#> 88 3.497385e+02 3.497385e+02 5.606423e+02 1.305243e+03 2.883764e+03
#> 91 2.019676e+02 2.019676e+02 3.232885e+02 7.471716e+02 1.647981e+03
#> 94 1.159233e+02 1.159233e+02 1.843412e+02 4.194738e+02 9.197072e+02
#> 97 6.608486e+01 6.608486e+01 1.038938e+02 2.314587e+02 5.012402e+02
#> 100 3.736523e+01 3.736523e+01 5.782803e+01 1.256881e+02 2.670445e+02
#> 103 2.091174e+01 2.091174e+01 3.176126e+01 6.720613e+01 1.392787e+02
#> 106 1.155651e+01 1.155651e+01 1.719924e+01 3.538753e+01 7.121686e+01
#> 109 6.290913e+00 6.290913e+00 9.175116e+00 1.834663e+01 3.574757e+01
#> 112 3.365887e+00 3.365887e+00 4.817594e+00 9.363600e+00 1.763459e+01
#> 115 1.766975e+00 1.766975e+00 2.487644e+00 4.703644e+00 8.557810e+00
#> 118 9.090416e-01 9.090416e-01 1.262219e+00 2.325258e+00 4.088962e+00
#> 121 4.579967e-01 4.579967e-01 6.288905e-01 1.131110e+00 1.925095e+00
#> 124 2.259243e-01 2.259243e-01 3.075357e-01 5.413762e-01 8.936690e-01
#> 127 1.091282e-01 1.091282e-01 1.475622e-01 2.549354e-01 4.092976e-01
#> 130 5.163588e-02 5.163588e-02 6.946830e-02 1.181120e-01 1.850307e-01
#> 133 2.394722e-02 2.394722e-02 3.209152e-02 5.384088e-02 8.259324e-02
#> 136 1.089306e-02 1.089306e-02 1.455194e-02 2.415114e-02 3.641254e-02
#> 139 4.863756e-03 4.863756e-03 6.479986e-03 1.066245e-02 1.585759e-02
#> 142 2.133407e-03 2.133407e-03 2.835262e-03 4.634371e-03 6.822663e-03
#> 145 9.200595e-04 9.200595e-04 1.219709e-03 1.983776e-03 2.900297e-03
#> 148 3.904431e-04 3.904431e-04 5.162550e-04 8.366493e-04 1.218275e-03
#> 151 1.631749e-04 1.631749e-04 2.151462e-04 3.478154e-04 5.057259e-04
#> 154 6.721211e-05 6.721211e-05 8.834624e-05 1.426044e-04 2.075017e-04
#> 157 2.730707e-05 2.730707e-05 3.577280e-05 5.769447e-05 8.416932e-05
#> 160 1.095112e-05 1.095112e-05 1.429391e-05 2.304629e-05 3.376146e-05
#> 163 4.338191e-06 4.338191e-06 5.640263e-06 9.094685e-06 1.339531e-05
#> 166 1.698726e-06 1.698726e-06 2.199416e-06 3.547730e-06 5.258902e-06
#> 169 6.579421e-07 6.579421e-07 8.481526e-07 1.368817e-06 2.043658e-06
#> 172 2.522180e-07 2.522180e-07 3.236597e-07 5.226697e-07 7.864409e-07
#> 175 9.575226e-08 9.575226e-08 1.223003e-07 1.976256e-07 2.998098e-07
#> 178 3.602128e-08 3.602128e-08 4.578872e-08 7.403561e-08 1.132771e-07
#> 181 1.343514e-08 1.343514e-08 1.699542e-08 2.749483e-08 4.243582e-08
#> 184 4.970767e-09 4.970767e-09 6.257267e-09 1.012737e-08 1.576901e-08
#> 187 1.825321e-09 1.825321e-09 2.286512e-09 3.701978e-09 5.815546e-09
#> 190 6.655489e-10 6.655489e-10 8.296337e-10 1.343502e-09 2.129258e-09
#> 193 2.410469e-10 2.410469e-10 2.990136e-10 4.842129e-10 7.741349e-10
#> 196 8.679892e-11 8.679892e-11 1.071642e-10 1.735522e-10 2.799157e-10
#> 199 3.105643e-11 3.105643e-11 3.815972e-11 6.177159e-11 1.004684e-10
#> 202 1.105907e-11 1.105907e-11 1.352584e-11 2.188887e-11 3.590362e-11
#> 205 3.908862e-12 3.908862e-12 4.758496e-12 7.693336e-12 1.271856e-11
#> 208 1.379192e-12 1.379192e-12 1.671597e-12 2.701056e-12 4.501564e-12
#> 211 4.886843e-13 4.886843e-13 5.895263e-13 9.534597e-13 1.600456e-12
#> 214 1.692084e-13 1.692084e-13 2.034736e-13 3.279636e-13 5.546103e-13
#> 217 6.026016e-14 6.026016e-14 7.220405e-14 1.159494e-13 1.971876e-13
#> 220 2.026418e-14 2.026418e-14 2.414239e-14 3.893227e-14 6.697956e-14
#> 223 6.737016e-15 6.737016e-15 7.936766e-15 1.283516e-14 2.265930e-14
#> 226 2.390399e-15 2.390399e-15 2.850278e-15 4.542804e-15 7.949158e-15
#> 229 6.651138e-16 6.651138e-16 7.476362e-16 1.199783e-15 2.272039e-15
#> 232 3.490715e-16 3.490715e-16 4.107674e-16 7.017617e-16 1.207678e-15
#> 235 8.796832e-17 8.796832e-17 9.264230e-17 1.569303e-16 3.098155e-16
#> 238 2.001510e-17 2.001510e-17 2.165488e-17 2.630864e-17 6.353292e-17
#> year
#> length 6 7 8 9 10
#> 1 2.219756e-55 2.120360e-55 1.553800e-55 1.357208e-55 9.321021e-56
#> 4 2.684775e-15 2.564557e-15 1.879307e-15 1.641531e-15 1.127369e-15
#> 7 1.964414e-01 1.876452e-01 1.375064e-01 1.201086e-01 8.248809e-02
#> 10 8.200482e+04 7.833284e+04 5.740229e+04 5.013958e+04 3.443481e+04
#> 13 9.814641e+06 9.375165e+06 6.870119e+06 6.000891e+06 4.121286e+06
#> 16 2.252922e+07 2.151994e+07 1.577013e+07 1.377469e+07 9.460918e+06
#> 19 4.446475e+06 4.187602e+06 3.110058e+06 2.696520e+06 1.946550e+06
#> 22 5.058481e+06 4.162211e+06 3.513529e+06 2.844572e+06 3.014027e+06
#> 25 1.043052e+07 8.552392e+06 7.229134e+06 5.851804e+06 6.251480e+06
#> 28 7.221099e+06 5.915807e+06 4.839803e+06 4.020322e+06 4.296522e+06
#> 31 5.209379e+06 4.246200e+06 2.967517e+06 2.794064e+06 2.993688e+06
#> 34 6.058840e+06 4.880197e+06 3.125882e+06 3.118321e+06 3.369560e+06
#> 37 5.536704e+06 4.302182e+06 2.609076e+06 2.573167e+06 2.868114e+06
#> 40 4.687501e+06 3.469715e+06 1.916507e+06 1.798148e+06 2.140096e+06
#> 43 4.010983e+06 3.030153e+06 1.576910e+06 1.365362e+06 1.700214e+06
#> 46 3.032649e+06 2.567263e+06 1.354046e+06 1.060081e+06 1.297749e+06
#> 49 2.079120e+06 2.047037e+06 1.158378e+06 8.292485e+05 9.346602e+05
#> 52 1.458704e+06 1.562907e+06 9.894491e+05 6.987683e+05 6.884051e+05
#> 55 1.088738e+06 1.149916e+06 8.301822e+05 6.306438e+05 5.447210e+05
#> 58 8.200147e+05 8.332034e+05 6.782366e+05 5.778878e+05 4.654594e+05
#> 61 5.917193e+05 6.071205e+05 5.415001e+05 5.174107e+05 4.189932e+05
#> 64 4.014478e+05 4.412912e+05 4.238669e+05 4.457358e+05 3.812184e+05
#> 67 2.568823e+05 3.116723e+05 3.234790e+05 3.682250e+05 3.387741e+05
#> 70 1.568660e+05 2.094856e+05 2.373559e+05 2.913839e+05 2.888535e+05
#> 73 9.260357e+04 1.329601e+05 1.649479e+05 2.200809e+05 2.347356e+05
#> 76 5.345539e+04 7.984499e+04 1.075025e+05 1.577286e+05 1.813601e+05
#> 79 3.045142e+04 4.569146e+04 6.552173e+04 1.066596e+05 1.329700e+05
#> 82 1.722751e+04 2.515394e+04 3.745747e+04 6.783564e+04 9.233468e+04
#> 85 9.706434e+03 1.345946e+04 2.022747e+04 4.057844e+04 6.063998e+04
#> 88 5.443034e+03 7.070176e+03 1.042088e+04 2.289973e+04 3.765872e+04
#> 91 3.028636e+03 3.677287e+03 5.183920e+03 1.225850e+04 2.214683e+04
#> 94 1.665683e+03 1.905288e+03 2.523690e+03 6.270691e+03 1.237149e+04
#> 97 9.023772e+02 9.863648e+02 1.218723e+03 3.092507e+03 6.593886e+03
#> 100 4.804230e+02 5.102719e+02 5.905660e+02 1.485012e+03 3.372350e+03
#> 103 2.510723e+02 2.632646e+02 2.892495e+02 7.015338e+02 1.665977e+03
#> 106 1.287696e+02 1.350565e+02 1.434359e+02 3.291861e+02 8.007512e+02
#> 109 6.483688e+01 6.868107e+01 7.178380e+01 1.545922e+02 3.772644e+02
#> 112 3.207067e+01 3.453166e+01 3.603692e+01 7.297120e+01 1.754493e+02
#> 115 1.559544e+01 1.713156e+01 1.802790e+01 3.464232e+01 8.101149e+01
#> 118 7.461311e+00 8.375101e+00 8.936182e+00 1.650084e+01 3.728829e+01
#> 121 3.514497e+00 4.031249e+00 4.370824e+00 7.853151e+00 1.714107e+01
#> 124 1.630865e+00 1.909691e+00 2.103880e+00 3.717412e+00 7.868219e+00
#> 127 7.459855e-01 8.902374e-01 9.951385e-01 1.743196e+00 3.600632e+00
#> 130 3.365326e-01 4.084182e-01 4.622542e-01 8.072804e-01 1.638701e+00
#> 133 1.498002e-01 1.844433e-01 2.108578e-01 3.684485e-01 7.398373e-01
#> 136 6.582151e-02 8.202130e-02 9.448085e-02 1.655319e-01 3.306085e-01
#> 139 2.855977e-02 3.593155e-02 4.160742e-02 7.316581e-02 1.459756e-01
#> 142 1.224097e-02 1.551353e-02 1.801991e-02 3.181503e-02 6.360940e-02
#> 145 5.184179e-03 6.604578e-03 7.680671e-03 1.361353e-02 2.733641e-02
#> 148 2.170029e-03 2.773962e-03 3.224274e-03 5.734951e-03 1.158302e-02
#> 151 8.980206e-04 1.150013e-03 1.334058e-03 2.379964e-03 4.839254e-03
#> 154 3.674982e-04 4.708454e-04 5.444366e-04 9.736072e-04 1.993995e-03
#> 157 1.487609e-04 1.904817e-04 2.193120e-04 3.928937e-04 8.106591e-04
#> 160 5.958117e-05 7.618173e-05 8.726148e-05 1.565138e-04 3.253442e-04
#> 163 2.361816e-05 3.013644e-05 3.431787e-05 6.159174e-05 1.289694e-04
#> 166 9.269105e-06 1.179760e-05 1.334865e-05 2.395981e-05 5.052786e-05
#> 169 3.602715e-06 4.572657e-06 5.138564e-06 9.219814e-06 1.957680e-05
#> 172 1.387322e-06 1.755606e-06 1.958823e-06 3.511732e-06 7.505634e-06
#> 175 5.294645e-07 6.679910e-07 7.398473e-07 1.324770e-06 2.849205e-06
#> 178 2.003453e-07 2.520021e-07 2.770286e-07 4.952782e-07 1.071567e-06
#> 181 7.519072e-08 9.430085e-08 1.028870e-07 1.835978e-07 3.994829e-07
#> 184 2.799955e-08 3.501787e-08 3.791984e-08 6.752094e-08 1.477045e-07
#> 187 1.035062e-08 1.291057e-08 1.387622e-08 2.464992e-08 5.420106e-08
#> 190 3.799286e-09 4.727498e-09 5.043677e-09 8.936095e-09 1.974333e-08
#> 193 1.385114e-09 1.719566e-09 1.821504e-09 3.218363e-09 7.143006e-09
#> 196 5.022293e-10 6.222041e-10 6.543339e-10 1.152610e-09 2.569685e-09
#> 199 1.808087e-10 2.235888e-10 2.335605e-10 4.102004e-10 9.182315e-10
#> 202 6.481254e-11 8.000199e-11 8.301337e-11 1.453282e-10 3.265381e-10
#> 205 2.302545e-11 2.840049e-11 2.926598e-11 5.108350e-11 1.153480e-10
#> 208 8.175892e-12 1.007002e-11 1.031165e-11 1.794026e-11 4.063629e-11
#> 211 2.922739e-12 3.590169e-12 3.655001e-12 6.348248e-12 1.433961e-11
#> 214 1.012927e-12 1.245083e-12 1.262526e-12 2.178911e-12 4.974845e-12
#> 217 3.614596e-13 4.475451e-13 4.502585e-13 7.741371e-13 1.774946e-12
#> 220 1.230284e-13 1.503145e-13 1.506831e-13 2.581502e-13 5.934998e-13
#> 223 4.171510e-14 5.081766e-14 4.930497e-14 8.484715e-14 1.968750e-13
#> 226 1.464640e-14 1.809656e-14 1.744816e-14 3.049417e-14 6.944584e-14
#> 229 4.320745e-15 5.212215e-15 4.950488e-15 7.914874e-15 1.931463e-14
#> 232 2.138926e-15 2.501895e-15 2.603030e-15 4.301922e-15 1.060696e-14
#> 235 6.076203e-16 6.981241e-16 6.039542e-16 1.081746e-15 2.462702e-15
#> 238 1.380827e-16 1.877246e-16 1.627928e-16 2.070657e-16 5.403239e-16
#> year
#> length 11 12 13 14 15
#> 1 3.724855e-56 9.065095e-56 1.701225e-55 2.029552e-55 1.564253e-55
#> 4 4.505180e-16 1.096415e-15 2.057617e-15 2.454725e-15 1.891950e-15
#> 7 3.296379e-02 8.022323e-02 1.505531e-01 1.796089e-01 1.384314e-01
#> 10 1.376080e+04 3.348934e+04 6.284866e+04 7.497809e+04 5.778847e+04
#> 13 1.646944e+06 4.008129e+06 7.521961e+06 8.973656e+06 6.916339e+06
#> 16 3.781678e+06 9.199902e+06 1.726543e+07 2.059914e+07 1.587808e+07
#> 19 8.938855e+05 1.735166e+06 3.280355e+06 4.113226e+06 3.364834e+06
#> 22 2.504734e+06 1.162209e+06 2.448525e+06 5.159456e+06 6.157953e+06
#> 25 5.255316e+06 2.391950e+06 4.966820e+06 1.062440e+07 1.281572e+07
#> 28 3.835424e+06 2.058369e+06 3.225277e+06 6.924159e+06 8.910693e+06
#> 31 3.377741e+06 2.751354e+06 1.680125e+06 3.634613e+06 6.521678e+06
#> 34 4.190235e+06 3.891810e+06 1.797094e+06 3.456307e+06 7.423686e+06
#> 37 3.721384e+06 3.850038e+06 2.200987e+06 2.781847e+06 6.070557e+06
#> 40 2.994985e+06 3.674112e+06 2.825932e+06 2.024457e+06 4.132188e+06
#> 43 2.586809e+06 3.582852e+06 3.311980e+06 1.955276e+06 3.078422e+06
#> 46 2.147265e+06 3.197506e+06 3.398118e+06 2.313335e+06 2.459480e+06
#> 49 1.676426e+06 2.678655e+06 3.254098e+06 2.718703e+06 2.172335e+06
#> 52 1.267644e+06 2.183016e+06 2.966237e+06 2.931527e+06 2.246439e+06
#> 55 9.355307e+05 1.717187e+06 2.553320e+06 2.887411e+06 2.475662e+06
#> 58 6.882210e+05 1.294912e+06 2.078146e+06 2.632785e+06 2.618035e+06
#> 61 5.249050e+05 9.454103e+05 1.607992e+06 2.244597e+06 2.558669e+06
#> 64 4.254165e+05 6.841355e+05 1.190629e+06 1.802720e+06 2.306327e+06
#> 67 3.627138e+05 5.062728e+05 8.544461e+05 1.374769e+06 1.931125e+06
#> 70 3.148382e+05 3.918344e+05 6.068231e+05 1.004824e+06 1.514246e+06
#> 73 2.693275e+05 3.161704e+05 4.367369e+05 7.123354e+05 1.121099e+06
#> 76 2.223257e+05 2.594401e+05 3.234857e+05 4.971532e+05 7.909964e+05
#> 79 1.752186e+05 2.104165e+05 2.461071e+05 3.468047e+05 5.377681e+05
#> 82 1.312295e+05 1.652568e+05 1.891121e+05 2.441723e+05 3.567720e+05
#> 85 9.322523e+04 1.242637e+05 1.437176e+05 1.734845e+05 2.338493e+05
#> 88 6.278296e+04 8.899494e+04 1.062058e+05 1.232462e+05 1.528030e+05
#> 91 4.009549e+04 6.059240e+04 7.551539e+04 8.640092e+04 9.981759e+04
#> 94 2.431107e+04 3.921645e+04 5.138143e+04 5.905499e+04 6.494965e+04
#> 97 1.402346e+04 2.415073e+04 3.338430e+04 3.901760e+04 4.177110e+04
#> 100 7.717807e+03 1.417530e+04 2.071015e+04 2.479523e+04 2.632548e+04
#> 103 4.067059e+03 7.947920e+03 1.227924e+04 1.512262e+04 1.614325e+04
#> 106 2.060780e+03 4.268558e+03 6.970374e+03 8.849126e+03 9.586283e+03
#> 109 1.008694e+03 2.202786e+03 3.796505e+03 4.972364e+03 5.498586e+03
#> 112 4.792905e+02 1.096012e+03 1.989004e+03 2.687182e+03 3.043949e+03
#> 115 2.221905e+02 5.277054e+02 1.005036e+03 1.399479e+03 1.626929e+03
#> 118 1.009838e+02 2.467940e+02 4.911900e+02 7.039431e+02 8.404900e+02
#> 121 4.519696e+01 1.125350e+02 2.328607e+02 3.427926e+02 4.203515e+02
#> 124 1.999537e+01 5.021740e+01 1.073948e+02 1.619914e+02 2.038919e+02
#> 127 8.768960e+00 2.200614e+01 4.832276e+01 7.446719e+01 9.610305e+01
#> 130 3.819071e+00 9.499860e+00 2.127159e+01 3.337957e+01 4.410438e+01
#> 133 1.653186e+00 4.050748e+00 9.184565e+00 1.462319e+01 1.974621e+01
#> 136 7.112910e-01 1.709708e+00 3.899140e+00 6.274966e+00 8.641150e+00
#> 139 3.040126e-01 7.154000e-01 1.631031e+00 2.643021e+00 3.702904e+00
#> 142 1.289668e-01 2.970591e-01 6.735139e-01 1.094865e+00 1.556524e+00
#> 145 5.424913e-02 1.224666e-01 2.749768e-01 4.468619e-01 6.428796e-01
#> 148 2.260780e-02 5.013268e-02 1.111352e-01 1.799879e-01 2.612981e-01
#> 151 9.327645e-03 2.037457e-02 4.450694e-02 7.164648e-02 1.046649e-01
#> 154 3.808235e-03 8.218525e-03 1.767369e-02 2.822072e-02 4.137147e-02
#> 157 1.538141e-03 3.289214e-03 6.962403e-03 1.101088e-02 1.615709e-02
#> 160 6.145465e-04 1.305718e-03 2.721832e-03 4.259291e-03 6.241174e-03
#> 163 2.429041e-04 5.139996e-04 1.056138e-03 1.634649e-03 2.386937e-03
#> 166 9.500066e-05 2.006182e-04 4.068104e-04 6.227765e-04 9.046318e-04
#> 169 3.677568e-05 7.763416e-05 1.555662e-04 2.356445e-04 3.400163e-04
#> 172 1.409610e-05 2.978742e-05 5.906446e-05 8.858410e-05 1.268311e-04
#> 175 5.352052e-06 1.133354e-05 2.226712e-05 3.309421e-05 4.698007e-05
#> 178 2.013839e-06 4.277059e-06 8.336457e-06 1.228994e-05 1.729007e-05
#> 181 7.512874e-07 1.601314e-06 3.099836e-06 4.537721e-06 6.325224e-06
#> 184 2.779929e-07 5.949354e-07 1.144971e-06 1.666025e-06 2.301040e-06
#> 187 1.021027e-07 2.194545e-07 4.202316e-07 6.084116e-07 8.327634e-07
#> 190 3.722713e-08 8.039314e-08 1.532781e-07 2.210261e-07 2.999185e-07
#> 193 1.347481e-08 2.923453e-08 5.555535e-08 7.986151e-08 1.074963e-07
#> 196 4.856237e-09 1.059091e-08 2.005088e-08 2.874902e-08 3.839203e-08
#> 199 1.734764e-09 3.799933e-09 7.179610e-09 1.028048e-08 1.363889e-08
#> 202 6.175390e-10 1.359880e-09 2.564583e-09 3.668244e-09 4.832578e-09
#> 205 2.181081e-10 4.812865e-10 9.027525e-10 1.291177e-09 1.695409e-09
#> 208 7.689958e-11 1.706053e-10 3.197577e-10 4.575335e-10 5.971258e-10
#> 211 2.715918e-11 6.074816e-11 1.154672e-10 1.668869e-10 2.144035e-10
#> 214 9.445624e-12 2.108393e-11 3.912165e-11 5.572611e-11 7.251856e-11
#> 217 3.319319e-12 7.439276e-12 1.400044e-11 2.068048e-11 2.754256e-11
#> 220 1.133247e-12 2.560733e-12 4.733367e-12 6.656731e-12 8.450679e-12
#> 223 3.730313e-13 8.715506e-13 1.615031e-12 2.273666e-12 2.746296e-12
#> 226 1.321056e-13 3.104733e-13 5.577321e-13 7.918145e-13 9.743752e-13
#> 229 3.620083e-14 8.664997e-14 1.658438e-13 2.389441e-13 2.950719e-13
#> 232 1.929401e-14 4.416721e-14 9.091477e-14 1.156079e-13 1.305832e-13
#> 235 5.220334e-15 1.141958e-14 2.181653e-14 3.709645e-14 4.085018e-14
#> 238 9.237370e-16 2.806228e-15 4.470850e-15 7.020470e-15 1.182690e-14
#> year
#> length 16 17 18 19 20
#> 1 2.359488e-55 2.157563e-55 2.236567e-55 2.172865e-55 4.653623e-55
#> 4 2.853780e-15 2.609554e-15 2.705108e-15 2.628061e-15 5.628517e-15
#> 7 2.088072e-01 1.909375e-01 1.979291e-01 1.922917e-01 4.118310e-01
#> 10 8.716698e+04 7.970723e+04 8.262589e+04 8.027254e+04 1.719196e+05
#> 13 1.043247e+07 9.539658e+06 9.888974e+06 9.607316e+06 2.057598e+07
#> 16 2.394666e+07 2.189904e+07 2.270015e+07 2.205388e+07 4.722743e+07
#> 19 4.630017e+06 4.453455e+06 4.518401e+06 4.425034e+06 8.800690e+06
#> 22 4.298044e+06 6.390282e+06 5.525784e+06 5.763747e+06 4.765092e+06
#> 25 8.862971e+06 1.320591e+07 1.143297e+07 1.191345e+07 9.568907e+06
#> 28 6.682124e+06 8.736045e+06 8.140037e+06 8.165932e+06 6.641565e+06
#> 31 6.525116e+06 5.051606e+06 6.551797e+06 5.637601e+06 4.847293e+06
#> 34 8.402281e+06 5.428467e+06 7.765611e+06 6.453947e+06 5.675017e+06
#> 37 7.656569e+06 5.532549e+06 6.495333e+06 5.972252e+06 5.242985e+06
#> 40 6.400152e+06 5.746696e+06 4.777019e+06 5.223481e+06 4.637751e+06
#> 43 5.589069e+06 5.990330e+06 4.265329e+06 4.707683e+06 4.438859e+06
#> 46 4.522242e+06 5.646347e+06 4.340757e+06 3.924011e+06 4.101798e+06
#> 49 3.417235e+06 4.923133e+06 4.425430e+06 3.195873e+06 3.582186e+06
#> 52 2.630100e+06 4.047262e+06 4.244943e+06 2.787014e+06 2.984763e+06
#> 55 2.208132e+06 3.154098e+06 3.757785e+06 2.547659e+06 2.407563e+06
#> 58 2.070241e+06 2.419839e+06 3.093269e+06 2.282715e+06 1.946996e+06
#> 61 2.063901e+06 1.936638e+06 2.412238e+06 1.932061e+06 1.606442e+06
#> 64 2.027371e+06 1.665117e+06 1.835490e+06 1.538629e+06 1.326543e+06
#> 67 1.874231e+06 1.500570e+06 1.415594e+06 1.172205e+06 1.067397e+06
#> 70 1.608951e+06 1.348471e+06 1.136784e+06 8.797825e+05 8.299846e+05
#> 73 1.285579e+06 1.163411e+06 9.464381e+05 6.716403e+05 6.317051e+05
#> 76 9.630948e+05 9.472894e+05 7.936582e+05 5.307817e+05 4.821612e+05
#> 79 6.821823e+05 7.257436e+05 6.503521e+05 4.308216e+05 3.765631e+05
#> 82 4.609428e+05 5.253640e+05 5.112078e+05 3.504381e+05 3.016588e+05
#> 85 3.000130e+05 3.621206e+05 3.829352e+05 2.788870e+05 2.441471e+05
#> 88 1.901084e+05 2.399406e+05 2.737010e+05 2.140421e+05 1.955076e+05
#> 91 1.185184e+05 1.544187e+05 1.876814e+05 1.576633e+05 1.524014e+05
#> 94 7.329447e+04 9.747319e+04 1.243648e+05 1.116226e+05 1.146588e+05
#> 97 4.513770e+04 6.079815e+04 8.021639e+04 7.630267e+04 8.305815e+04
#> 100 2.764813e+04 3.760832e+04 5.066602e+04 5.063034e+04 5.800348e+04
#> 103 1.675931e+04 2.305778e+04 3.145534e+04 3.276154e+04 3.915966e+04
#> 106 9.987284e+03 1.395957e+04 1.921902e+04 2.073549e+04 2.563518e+04
#> 109 5.815527e+03 8.302797e+03 1.154571e+04 1.285271e+04 1.631183e+04
#> 112 3.293921e+03 4.827652e+03 6.804088e+03 7.799837e+03 1.010475e+04
#> 115 1.809799e+03 2.733697e+03 3.922820e+03 4.628695e+03 6.098736e+03
#> 118 9.634324e+02 1.503876e+03 2.207184e+03 2.681881e+03 3.586933e+03
#> 121 4.968958e+02 8.028098e+02 1.209766e+03 1.514990e+03 2.055494e+03
#> 124 2.484731e+02 4.157892e+02 6.452446e+02 8.335314e+02 1.147436e+03
#> 127 1.206122e+02 2.090343e+02 3.347697e+02 4.464189e+02 6.239019e+02
#> 130 5.691805e+01 1.021103e+02 1.689859e+02 2.327261e+02 3.304616e+02
#> 133 2.615559e+01 4.852584e+01 8.304303e+01 1.181349e+02 1.705627e+02
#> 136 1.172371e+01 2.246665e+01 3.976456e+01 5.842872e+01 8.583037e+01
#> 139 5.134253e+00 1.014854e+01 1.857386e+01 2.818202e+01 4.214128e+01
#> 142 2.200435e+00 4.479310e+00 8.473070e+00 1.326975e+01 2.020513e+01
#> 145 9.243514e-01 1.934601e+00 3.779664e+00 6.106402e+00 9.469441e+00
#> 148 3.811610e-01 8.187550e-01 1.650767e+00 2.749452e+00 4.342554e+00
#> 151 1.545014e-01 3.400028e-01 7.067700e-01 1.212710e+00 1.950692e+00
#> 154 6.164273e-02 1.387175e-01 2.969989e-01 5.245967e-01 8.592577e-01
#> 157 2.423782e-02 5.567039e-02 1.226371e-01 2.228163e-01 3.715483e-01
#> 160 9.403043e-03 2.200169e-02 4.981527e-02 9.302529e-02 1.578776e-01
#> 163 3.603069e-03 8.572183e-03 1.992679e-02 3.821624e-02 6.599076e-02
#> 166 1.365021e-03 3.295847e-03 7.857473e-03 1.546420e-02 2.716004e-02
#> 169 5.117637e-04 1.251677e-03 3.057115e-03 6.169614e-03 1.101724e-02
#> 172 1.900356e-04 4.699506e-04 1.174664e-03 2.429050e-03 4.408618e-03
#> 175 6.994832e-05 1.745847e-04 4.461243e-04 9.445793e-04 1.741777e-03
#> 178 2.553965e-05 6.422334e-05 1.676042e-04 3.630942e-04 6.799817e-04
#> 181 9.256256e-06 2.341140e-05 6.233414e-05 1.380747e-04 2.625143e-04
#> 184 3.331997e-06 8.462610e-06 2.296595e-05 5.198025e-05 1.002946e-04
#> 187 1.192017e-06 3.035372e-06 8.387931e-06 1.938621e-05 3.794660e-05
#> 190 4.240158e-07 1.080933e-06 3.038809e-06 7.167319e-06 1.422732e-05
#> 193 1.500309e-07 3.823805e-07 1.092624e-06 2.628380e-06 5.289221e-06
#> 196 5.285001e-08 1.344674e-07 3.901824e-07 9.566858e-07 1.950978e-06
#> 199 1.852557e-08 4.701277e-08 1.384171e-07 3.457569e-07 7.143411e-07
#> 202 6.472590e-09 1.635618e-08 4.881792e-08 1.241631e-07 2.597931e-07
#> 205 2.241925e-09 5.652752e-09 1.711255e-08 4.430353e-08 9.386117e-08
#> 208 7.785189e-10 1.950300e-09 5.973118e-09 1.572775e-08 3.372410e-08
#> 211 2.755252e-10 6.767924e-10 2.080035e-09 5.560165e-09 1.206154e-08
#> 214 9.276930e-11 2.296038e-10 7.194439e-10 1.954421e-09 4.285100e-09
#> 217 3.380535e-11 8.113595e-11 2.497310e-10 6.833025e-10 1.517370e-09
#> 220 1.056123e-11 2.599216e-11 8.483937e-11 2.387471e-10 5.351702e-10
#> 223 3.112339e-12 7.995727e-12 2.767201e-11 8.208939e-11 1.876248e-10
#> 226 1.150904e-12 3.070894e-12 9.689569e-12 2.852181e-11 6.518310e-11
#> 229 2.926735e-13 5.817110e-13 2.424144e-12 8.093262e-12 2.068477e-11
#> 232 1.377160e-13 3.692369e-13 1.709439e-12 4.438903e-12 9.588435e-12
#> 235 3.860547e-14 5.930838e-14 2.564171e-13 1.265432e-12 2.858955e-12
#> 238 1.110664e-14 1.340819e-14 2.883868e-14 1.604993e-13 7.683466e-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: 0x5604df079c38>
#>