Closure for simulating length given age using von Bertalanffy notation
Source:R/sim_pop.R
sim_vonB.RdThis function outputs a function which holds the parameter values supplied and the function either simulates lengths given ages or generates a length age key give a sequence of ages.
sim_vonB(
Linf = 120,
L0 = 5,
K = 0.1,
log_sd = 0.1,
length_group = 3,
digits = 0,
plot = FALSE
)Arguments
- Linf
Mean asymptotic length
- L0
Length at birth
- K
Growth rate parameter
- log_sd
Standard deviation of the relationship in log scale
- length_group
Length group for length age key. Note that labels on the matrix produced are midpoints using the DFO conventions; see
group_lengths. Also note that this length group will dictate the length group used in the stratified analysis run byrun_strat.- digits
Integer indicating the number of decimal places to round the values to
- plot
Produce a simple plot of the simulated values?
Value
Returns a function for use inside sim_abundance.
Examples
growth_fun <- sim_vonB(Linf = 100, L0 = 5, K = 0.2, log_sd = 0.05, length_group = 1, plot = TRUE)
growth_fun(age = rep(1:15, each = 100))
#> [1] 21 22 21 22 24 23 23 23 23 22 23 22 21 22 21 23 21 22
#> [19] 22 21 22 21 23 21 25 24 20 22 22 22 22 23 23 22 20 23
#> [37] 22 24 22 22 22 24 21 21 22 23 20 22 22 22 22 24 21 23
#> [55] 21 22 23 20 23 24 22 20 23 21 22 21 21 21 22 21 23 23
#> [73] 23 22 22 21 25 22 21 21 22 22 22 21 22 21 22 22 23 22
#> [91] 22 21 21 22 22 23 23 22 22 23 35 36 38 37 35 39 33 35
#> [109] 36 36 36 32 37 37 38 35 37 38 36 36 35 37 38 36 37 34
#> [127] 34 38 38 39 39 37 37 38 36 39 35 37 35 37 37 37 35 39
#> [145] 36 40 36 34 37 38 38 37 38 35 39 37 35 35 40 38 36 34
#> [163] 38 36 36 37 35 39 36 34 34 35 35 35 35 39 36 36 36 34
#> [181] 38 33 37 34 34 36 39 36 37 37 39 39 38 39 36 37 37 36
#> [199] 36 37 52 48 47 47 49 46 49 51 49 45 50 50 51 48 55 45
#> [217] 48 49 50 47 51 44 46 48 48 50 47 48 49 46 51 46 46 47
#> [235] 51 45 47 49 49 48 47 45 49 51 50 50 49 45 46 47 48 50
#> [253] 46 45 46 50 49 47 52 46 50 49 52 48 48 45 45 42 51 50
#> [271] 47 48 45 47 46 45 51 53 47 49 49 51 44 48 47 45 47 54
#> [289] 47 47 48 53 49 49 49 47 44 48 48 51 59 60 56 52 52 51
#> [307] 55 59 60 57 58 55 57 59 57 56 55 58 58 56 57 57 59 51
#> [325] 54 55 57 56 51 58 58 56 57 57 59 53 60 60 55 57 55 60
#> [343] 59 56 60 60 56 55 61 58 54 55 63 59 54 57 56 56 62 56
#> [361] 54 56 54 58 56 54 63 56 60 53 55 57 54 59 56 60 57 57
#> [379] 57 50 56 59 56 57 56 59 57 52 58 50 56 56 55 59 59 55
#> [397] 60 57 56 54 63 60 64 72 63 69 60 64 64 62 66 68 69 67
#> [415] 67 63 65 67 71 67 62 64 66 62 63 64 66 67 59 67 65 62
#> [433] 65 61 65 66 67 67 63 61 73 67 66 67 64 67 67 66 58 63
#> [451] 64 67 64 67 63 60 64 68 62 65 71 62 68 69 64 67 64 62
#> [469] 67 66 58 65 66 65 68 63 59 64 64 63 67 66 65 63 60 63
#> [487] 61 70 70 65 63 67 61 62 62 67 63 64 65 66 72 68 66 74
#> [505] 81 72 69 72 71 72 72 67 66 73 70 69 72 65 68 64 67 61
#> [523] 81 74 69 73 74 69 68 73 77 76 76 78 78 74 70 70 71 74
#> [541] 73 63 73 65 73 68 83 76 72 76 73 68 71 70 76 69 75 75
#> [559] 76 68 72 70 70 78 75 69 69 74 74 69 75 72 79 78 70 70
#> [577] 70 73 76 70 65 71 72 67 64 75 77 70 67 72 66 71 68 74
#> [595] 73 72 70 67 67 71 79 73 75 73 75 87 77 75 81 76 82 77
#> [613] 74 76 71 78 79 69 79 74 76 79 75 80 80 76 77 79 72 78
#> [631] 71 75 76 76 82 75 73 71 76 74 78 81 67 83 75 74 80 73
#> [649] 77 71 76 78 78 78 69 75 73 71 81 82 75 76 78 78 79 75
#> [667] 79 82 74 83 75 79 81 77 79 73 76 77 69 80 79 75 83 79
#> [685] 71 75 73 75 78 77 81 82 75 75 80 75 81 79 70 76 77 83
#> [703] 81 86 82 82 84 78 85 79 80 79 81 83 77 80 77 90 76 80
#> [721] 76 76 82 80 88 73 80 77 86 79 86 87 74 76 83 77 82 81
#> [739] 87 76 81 84 77 81 82 83 87 84 79 81 74 81 82 80 87 85
#> [757] 85 83 76 82 75 80 80 79 86 85 74 88 81 83 81 83 76 80
#> [775] 87 75 77 86 87 80 78 77 78 79 88 82 80 89 88 81 82 75
#> [793] 78 86 81 90 77 85 75 81 86 85 86 83 79 82 79 80 86 82
#> [811] 83 86 84 84 82 84 82 83 79 81 80 84 84 90 87 89 86 92
#> [829] 88 84 78 84 88 87 84 91 82 83 81 81 88 83 86 83 84 82
#> [847] 88 80 82 87 80 84 82 83 82 85 85 81 88 88 76 88 78 79
#> [865] 84 88 88 91 88 81 83 87 84 93 81 77 87 88 81 86 85 85
#> [883] 88 84 85 89 81 85 86 84 82 72 86 80 90 89 82 77 78 74
#> [901] 86 85 95 92 92 84 89 82 91 84 85 80 79 91 90 91 81 79
#> [919] 93 86 86 93 97 87 87 87 94 86 84 92 82 86 89 81 89 84
#> [937] 89 86 92 100 93 87 82 83 83 86 83 86 84 92 89 83 80 93
#> [955] 89 94 84 91 84 86 87 96 92 86 79 92 86 90 90 80 89 95
#> [973] 89 95 92 87 82 92 84 87 87 88 88 88 81 88 84 90 92 88
#> [991] 85 83 91 94 82 78 88 91 88 88 95 88 96 90 93 82 84 87
#> [1009] 89 93 90 95 90 92 89 87 90 80 86 93 99 94 92 88 89 86
#> [1027] 92 96 88 89 86 86 95 85 95 83 89 93 105 86 84 94 90 93
#> [1045] 97 82 91 85 90 91 90 83 100 90 85 89 86 86 90 91 95 95
#> [1063] 94 89 96 99 85 83 87 87 88 97 92 96 93 91 96 95 84 89
#> [1081] 95 93 86 94 88 86 91 89 83 97 98 89 90 86 99 88 92 96
#> [1099] 86 90 86 88 90 90 96 94 90 95 94 90 91 93 88 89 90 92
#> [1117] 98 94 82 95 93 88 92 95 93 92 100 99 89 94 87 84 84 96
#> [1135] 87 95 94 85 96 88 98 92 90 94 88 88 94 95 100 84 95 87
#> [1153] 87 87 95 87 84 94 92 92 96 90 95 96 88 95 100 91 92 90
#> [1171] 94 98 93 100 91 89 85 90 89 90 92 89 88 94 92 94 101 102
#> [1189] 92 90 98 94 99 100 96 87 97 93 100 88 94 90 94 90 99 89
#> [1207] 97 84 87 93 88 101 94 97 95 96 100 93 94 89 95 89 90 97
#> [1225] 95 102 94 107 94 98 93 90 95 97 95 93 91 94 94 98 92 95
#> [1243] 93 92 94 100 94 90 90 93 92 95 80 89 89 94 95 91 92 90
#> [1261] 94 86 96 87 95 88 86 90 91 85 91 88 94 103 102 93 96 90
#> [1279] 99 86 83 93 98 102 83 104 85 95 95 88 98 94 89 99 91 91
#> [1297] 104 99 98 90 93 86 102 96 87 88 94 92 92 97 98 93 91 90
#> [1315] 95 102 95 95 97 90 97 89 90 96 94 105 99 92 100 97 101 104
#> [1333] 91 90 99 100 90 99 88 90 86 95 97 88 102 91 103 85 96 93
#> [1351] 93 98 98 92 84 97 99 94 101 89 94 94 99 107 98 97 91 95
#> [1369] 90 94 92 94 97 91 91 97 90 90 102 103 98 92 96 88 102 96
#> [1387] 100 86 90 97 99 90 98 95 102 94 91 101 95 104 110 88 87 100
#> [1405] 91 94 97 95 100 97 99 105 93 93 95 95 99 99 92 98 97 93
#> [1423] 102 99 104 89 83 94 99 96 89 86 96 94 95 96 97 89 104 98
#> [1441] 85 93 93 91 93 96 96 100 96 96 96 94 94 93 94 96 94 96
#> [1459] 93 94 100 85 96 95 97 102 90 93 94 93 96 93 98 101 89 96
#> [1477] 84 90 95 94 100 102 95 92 93 94 98 100 95 91 94 107 91 99
#> [1495] 85 95 95 93 96 92
growth_fun(age = 1:15, length_age_key = TRUE)
#> age
#> length 1 2 3 4 5
#> 3 4.740726e-258 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 4 7.601391e-196 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 5 1.959630e-151 2.718312e-284 0.000000e+00 0.000000e+00 0.000000e+00
#> 6 2.201423e-118 4.234724e-238 0.000000e+00 0.000000e+00 0.000000e+00
#> 7 4.384115e-93 2.027724e-201 1.215111e-280 0.000000e+00 0.000000e+00
#> 8 2.467860e-73 1.238598e-171 3.249711e-245 2.159937e-300 0.000000e+00
#> 9 1.056136e-57 4.987046e-147 1.453104e-215 1.906653e-267 2.800145e-307
#> 10 3.229550e-45 1.981088e-126 2.112580e-190 2.651512e-239 4.846999e-277
#> 11 3.437733e-35 5.331186e-109 8.318334e-169 5.489889e-215 8.203908e-251
#> 12 4.039040e-27 3.996699e-94 4.224630e-150 8.870083e-194 7.612458e-228
#> 13 1.241390e-20 2.419601e-81 8.990787e-134 3.914404e-175 1.428250e-207
#> 14 1.930303e-15 2.681063e-70 1.989121e-119 1.241706e-158 1.486363e-189
#> 15 2.539301e-11 1.031834e-60 9.337175e-107 6.060281e-144 1.898990e-173
#> 16 4.249111e-08 2.295797e-52 1.642793e-95 8.358196e-131 5.622192e-159
#> 17 1.256082e-05 4.453615e-45 1.716259e-85 5.329610e-119 6.455553e-146
#> 18 8.566891e-04 1.053399e-38 1.551484e-76 2.352313e-108 4.386352e-134
#> 19 1.674458e-02 4.006363e-33 1.657123e-68 1.003926e-98 2.503678e-123
#> 20 1.116395e-01 3.085406e-28 2.712620e-61 5.479675e-90 1.609711e-113
#> 21 2.916718e-01 5.840337e-24 8.472918e-55 4.842909e-82 1.493418e-104
#> 22 3.338230e-01 3.202027e-20 6.082779e-49 8.469639e-75 2.468428e-96
#> 23 1.835570e-01 5.849305e-17 1.176799e-43 3.480326e-68 8.708022e-89
#> 24 5.248673e-02 4.015121e-14 7.035774e-39 3.896321e-62 7.662165e-82
#> 25 8.367879e-03 1.148888e-11 1.463620e-34 1.351140e-56 1.925023e-75
#> 26 7.914435e-04 1.499357e-09 1.174579e-30 1.623067e-51 1.553821e-69
#> 27 4.693976e-05 9.650684e-08 3.980112e-27 7.449444e-47 4.468529e-64
#> 28 1.834322e-06 3.280021e-06 6.165070e-24 1.424042e-42 5.015280e-59
#> 29 4.936159e-08 6.248718e-05 4.681992e-21 1.223621e-38 2.381219e-54
#> 30 9.513693e-10 7.031664e-04 1.854894e-18 5.056898e-35 5.137743e-50
#> 31 1.360034e-11 4.894712e-03 4.050900e-16 1.067607e-31 5.369553e-46
#> 32 1.487699e-13 2.195540e-02 5.122449e-14 1.215139e-28 2.878068e-42
#> 33 1.332268e-15 6.580873e-02 3.919079e-12 7.825379e-26 8.327706e-39
#> 34 0.000000e+00 1.361653e-01 1.887033e-10 2.977919e-23 1.362247e-35
#> 35 0.000000e+00 2.002515e-01 5.924343e-09 6.963960e-21 1.313378e-32
#> 36 0.000000e+00 2.149147e-01 1.252048e-07 1.036834e-18 7.750139e-30
#> 37 0.000000e+00 1.723953e-01 1.833322e-06 1.014849e-16 2.896549e-27
#> 38 0.000000e+00 1.056343e-01 1.909115e-05 6.723302e-15 7.073358e-25
#> 39 0.000000e+00 5.043487e-02 1.447773e-04 3.095748e-13 1.161100e-22
#> 40 0.000000e+00 1.910702e-02 8.170049e-04 1.014965e-11 1.314838e-20
#> 41 0.000000e+00 5.840133e-03 3.499230e-03 2.422346e-10 1.051813e-18
#> 42 0.000000e+00 1.462381e-03 1.158215e-02 4.294485e-09 6.074610e-17
#> 43 0.000000e+00 3.042364e-04 3.012153e-02 5.761603e-08 2.584014e-15
#> 44 0.000000e+00 5.327167e-05 6.249744e-02 5.950475e-07 8.246297e-14
#> 45 0.000000e+00 7.945065e-06 1.049194e-01 4.805873e-06 2.008072e-12
#> 46 0.000000e+00 1.020463e-06 1.443790e-01 3.079758e-05 3.790196e-11
#> 47 0.000000e+00 1.140286e-07 1.648291e-01 1.587167e-04 5.626040e-10
#> 48 0.000000e+00 1.119010e-08 1.578671e-01 6.660386e-04 6.656382e-09
#> 49 0.000000e+00 9.728401e-10 1.281675e-01 2.302335e-03 6.356012e-08
#> 50 0.000000e+00 7.553402e-11 8.905925e-02 6.626711e-03 4.955393e-07
#> 51 0.000000e+00 5.277001e-12 5.344314e-02 1.604114e-02 3.188653e-06
#> 52 0.000000e+00 3.340661e-13 2.792870e-02 3.296350e-02 1.710583e-05
#> 53 0.000000e+00 1.920686e-14 1.280993e-02 5.800664e-02 7.722740e-05
#> 54 0.000000e+00 1.110223e-15 5.194558e-03 8.812670e-02 2.960096e-04
#> 55 0.000000e+00 0.000000e+00 1.875082e-03 1.164758e-01 9.712274e-04
#> 56 0.000000e+00 0.000000e+00 6.063678e-04 1.348860e-01 2.748945e-03
#> 57 0.000000e+00 0.000000e+00 1.767240e-04 1.377888e-01 6.760586e-03
#> 58 0.000000e+00 0.000000e+00 4.668060e-05 1.249432e-01 1.454549e-02
#> 59 0.000000e+00 0.000000e+00 1.123432e-05 1.011658e-01 2.755338e-02
#> 60 0.000000e+00 0.000000e+00 2.475575e-06 7.355243e-02 4.623148e-02
#> 61 0.000000e+00 0.000000e+00 5.018160e-07 4.827034e-02 6.910026e-02
#> 62 0.000000e+00 0.000000e+00 9.398377e-08 2.873631e-02 9.249606e-02
#> 63 0.000000e+00 0.000000e+00 1.633016e-08 1.559099e-02 1.114450e-01
#> 64 0.000000e+00 0.000000e+00 2.642672e-09 7.743197e-03 1.214403e-01
#> 65 0.000000e+00 0.000000e+00 3.997609e-10 3.534892e-03 1.202230e-01
#> 66 0.000000e+00 0.000000e+00 5.672329e-11 1.489183e-03 1.085893e-01
#> 67 0.000000e+00 0.000000e+00 7.574275e-12 5.810996e-04 8.984930e-02
#> 68 0.000000e+00 0.000000e+00 9.547918e-13 2.107713e-04 6.836479e-02
#> 69 0.000000e+00 0.000000e+00 1.139089e-13 7.129817e-05 4.800821e-02
#> 70 0.000000e+00 0.000000e+00 1.287859e-14 2.256434e-05 3.122181e-02
#> 71 0.000000e+00 0.000000e+00 1.443290e-15 6.701083e-06 1.886595e-02
#> 72 0.000000e+00 0.000000e+00 1.110223e-16 1.872749e-06 1.062491e-02
#> 73 0.000000e+00 0.000000e+00 0.000000e+00 4.938533e-07 5.593425e-03
#> 74 0.000000e+00 0.000000e+00 0.000000e+00 1.232007e-07 2.760290e-03
#> 75 0.000000e+00 0.000000e+00 0.000000e+00 2.914627e-08 1.280308e-03
#> 76 0.000000e+00 0.000000e+00 0.000000e+00 6.554099e-09 5.595772e-04
#> 77 0.000000e+00 0.000000e+00 0.000000e+00 1.403978e-09 2.310162e-04
#> 78 0.000000e+00 0.000000e+00 0.000000e+00 2.871017e-10 9.029478e-05
#> 79 0.000000e+00 0.000000e+00 0.000000e+00 5.615741e-11 3.348694e-05
#> 80 0.000000e+00 0.000000e+00 0.000000e+00 1.052691e-11 1.180841e-05
#> 81 0.000000e+00 0.000000e+00 0.000000e+00 1.894485e-12 3.967162e-06
#> 82 0.000000e+00 0.000000e+00 0.000000e+00 3.279599e-13 1.272244e-06
#> 83 0.000000e+00 0.000000e+00 0.000000e+00 5.462297e-14 3.901715e-07
#> 84 0.000000e+00 0.000000e+00 0.000000e+00 8.881784e-15 1.146286e-07
#> 85 0.000000e+00 0.000000e+00 0.000000e+00 1.332268e-15 3.231516e-08
#> 86 0.000000e+00 0.000000e+00 0.000000e+00 2.220446e-16 8.755656e-09
#> 87 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.283508e-09
#> 88 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 5.740933e-10
#> 89 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.393271e-10
#> 90 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.268463e-11
#> 91 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 7.421064e-12
#> 92 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.632805e-12
#> 93 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.484990e-13
#> 94 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 7.227552e-14
#> 95 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.454392e-14
#> 96 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.886580e-15
#> 97 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 5.551115e-16
#> 98 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16
#> 99 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 100 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 101 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 102 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 103 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 104 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 105 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 106 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 107 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 108 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 109 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 110 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 111 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 112 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 113 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 114 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 115 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 116 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 117 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 118 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 119 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 120 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 121 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 122 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 123 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 124 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 125 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 126 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 127 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 128 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 129 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 130 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 131 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 132 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 133 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 134 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 135 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 136 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 137 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 138 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 139 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 140 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 141 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 142 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 143 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 144 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> age
#> length 6 7 8 9 10
#> 3 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 4 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 5 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 6 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 7 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 8 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 9 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 10 1.664241e-306 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 11 7.134282e-279 4.809871e-301 0.000000e+00 0.000000e+00 0.000000e+00
#> 12 1.293977e-254 8.226423e-276 1.052612e-292 3.078892e-306 0.000000e+00
#> 13 3.805851e-233 1.931603e-253 1.222571e-269 1.245163e-282 4.305368e-293
#> 14 5.133581e-214 1.801909e-233 5.051512e-249 1.643500e-261 1.419966e-271
#> 15 7.203301e-197 1.543136e-215 1.740412e-230 1.678031e-242 3.414534e-252
#> 16 2.024954e-181 2.372162e-199 9.891113e-214 2.645754e-225 1.203705e-234
#> 17 1.940685e-167 1.127951e-184 1.613369e-198 1.129344e-209 1.097069e-218
#> 18 9.810687e-155 2.593924e-171 1.190551e-184 2.070159e-195 4.121069e-204
#> 19 3.757764e-143 4.181100e-159 5.799720e-172 2.390677e-182 9.399755e-191
#> 20 1.477076e-132 6.446818e-148 2.560375e-160 2.398566e-170 1.801728e-178
#> 21 7.699221e-123 1.236760e-137 1.339012e-149 2.743764e-159 3.820519e-167
#> 22 6.620006e-114 3.692887e-128 1.042311e-139 4.511590e-149 1.132931e-156
#> 23 1.132220e-105 2.079811e-119 1.469021e-130 1.300992e-139 5.745432e-147
#> 24 4.527183e-98 2.607972e-111 4.439855e-122 7.812730e-131 5.929142e-138
#> 25 4.869286e-91 8.409649e-104 3.333273e-114 1.134391e-122 1.448256e-129
#> 26 1.592274e-84 7.908506e-97 7.068252e-107 4.537491e-115 9.555235e-122
#> 27 1.762534e-78 2.422221e-90 4.738729e-100 5.606844e-108 1.912305e-114
#> 28 7.260100e-73 2.663335e-84 1.109461e-93 2.367918e-101 1.286009e-107
#> 29 1.210130e-67 1.145991e-78 9.906572e-88 3.738118e-95 3.181948e-101
#> 30 8.793369e-63 2.083423e-73 3.648576e-82 2.388776e-89 3.140159e-95
#> 31 2.976953e-58 1.713687e-68 5.944142e-77 6.634777e-84 1.328370e-89
#> 32 4.983302e-54 6.780432e-64 4.560726e-72 8.536638e-79 2.569480e-84
#> 33 4.351060e-50 1.363539e-59 1.743477e-67 5.388171e-74 2.408521e-79
#> 34 2.079265e-46 1.464584e-55 3.493706e-63 1.756828e-69 1.152872e-74
#> 35 5.679999e-43 8.787757e-52 3.842212e-59 3.100586e-65 2.954682e-70
#> 36 9.226136e-40 3.067711e-48 2.417555e-55 3.090203e-61 4.232527e-66
#> 37 9.235559e-37 6.464961e-45 9.038583e-52 1.807546e-57 3.523837e-62
#> 38 5.886049e-34 8.506367e-42 2.078367e-48 6.426844e-54 1.766954e-58
#> 39 2.460412e-31 7.205888e-39 3.033273e-45 1.434298e-50 5.512616e-55
#> 40 6.931303e-29 4.042019e-36 2.891864e-42 2.069013e-47 1.102429e-51
#> 41 1.349135e-26 1.540502e-33 1.849239e-39 1.981816e-44 1.452355e-48
#> 42 1.856314e-24 4.084621e-31 8.126386e-37 1.292075e-41 1.292513e-45
#> 43 1.843858e-22 7.700503e-29 2.509532e-34 5.865856e-39 7.952160e-43
#> 44 1.347995e-20 1.053117e-26 5.559365e-32 1.893749e-36 3.455361e-40
#> 45 7.383952e-19 1.064307e-24 9.004458e-30 4.432960e-34 1.081499e-37
#> 46 3.081041e-17 8.085916e-23 1.085261e-27 7.660356e-32 2.483204e-35
#> 47 9.943735e-16 4.691935e-21 9.893207e-26 9.936209e-30 4.254050e-33
#> 48 2.517662e-14 2.110209e-19 6.925307e-24 9.824767e-28 5.523579e-31
#> 49 5.067033e-13 7.457379e-18 3.775262e-22 7.512660e-26 5.515828e-29
#> 50 8.205998e-12 2.097280e-16 1.623845e-20 4.502392e-24 4.294172e-27
#> 51 1.081628e-10 4.749858e-15 5.578624e-19 2.141335e-22 2.639569e-25
#> 52 1.172757e-09 8.759065e-14 1.548233e-17 8.176549e-21 1.296317e-23
#> 53 1.056404e-08 1.328833e-12 3.508234e-16 2.534082e-19 5.143008e-22
#> 54 7.979458e-08 1.674598e-11 6.555448e-15 6.439523e-18 1.665506e-20
#> 55 5.098127e-07 1.768903e-10 1.019582e-13 1.354585e-16 4.445378e-19
#> 56 2.777654e-06 1.579542e-09 1.331497e-12 2.379901e-15 9.868572e-18
#> 57 1.300452e-05 1.201839e-08 1.472029e-11 3.521714e-14 1.837771e-16
#> 58 5.269599e-05 7.850459e-08 1.388342e-10 4.424007e-13 2.894047e-15
#> 59 1.860632e-04 4.433340e-07 1.125194e-09 4.752970e-12 3.883083e-14
#> 60 5.761086e-04 2.178860e-06 7.889939e-09 4.397805e-11 4.470891e-13
#> 61 1.573662e-03 9.377770e-06 4.817577e-08 3.527676e-10 4.447035e-12
#> 62 3.813610e-03 3.555483e-05 2.577086e-07 2.468437e-09 3.845516e-11
#> 63 8.243219e-03 1.194100e-04 1.214687e-06 1.515603e-08 2.908326e-10
#> 64 1.597288e-02 3.571150e-04 5.072103e-06 8.210867e-08 1.934596e-09
#> 65 2.787832e-02 9.557821e-04 1.885937e-05 3.945597e-07 1.137941e-08
#> 66 4.402585e-02 2.300048e-03 6.274653e-05 1.690114e-06 5.948814e-08
#> 67 6.317768e-02 4.998945e-03 1.876608e-04 6.484034e-06 2.777204e-07
#> 68 8.271695e-02 9.854144e-03 5.067262e-04 2.237903e-05 1.163132e-06
#> 69 9.919053e-02 1.768889e-02 1.240472e-03 6.978242e-05 4.389062e-06
#> 70 1.093391e-01 2.902532e-02 2.763897e-03 1.973828e-04 1.498368e-05
#> 71 1.111773e-01 4.369382e-02 5.626014e-03 5.083865e-04 4.645845e-05
#> 72 1.046219e-01 6.055129e-02 1.049946e-02 1.196691e-03 1.313174e-04
#> 73 9.140193e-02 7.750123e-02 1.802555e-02 2.583320e-03 3.395673e-04
#> 74 7.435488e-02 9.190275e-02 2.856035e-02 5.131169e-03 8.060034e-04
#> 75 5.648297e-02 1.012679e-01 4.189132e-02 9.407240e-03 1.761766e-03
#> 76 4.017480e-02 1.039840e-01 5.704792e-02 1.596681e-02 3.557032e-03
#> 77 2.682484e-02 9.976630e-02 7.233054e-02 2.516091e-02 6.653080e-03
#> 78 1.685526e-02 8.966867e-02 8.561017e-02 3.691242e-02 1.156013e-02
#> 79 9.990026e-03 7.568391e-02 9.483182e-02 5.054628e-02 1.870954e-02
#> 80 5.597612e-03 6.012993e-02 9.855122e-02 6.476766e-02 2.827663e-02
#> 81 2.971477e-03 4.506871e-02 9.630669e-02 7.784196e-02 4.000478e-02
#> 82 1.497484e-03 3.193647e-02 8.869531e-02 8.795188e-02 5.310380e-02
#> 83 7.178276e-04 2.143954e-02 7.714648e-02 9.362650e-02 6.628801e-02
#> 84 3.279119e-04 1.366192e-02 6.350161e-02 9.409808e-02 7.797676e-02
#> 85 1.430042e-04 8.279243e-03 4.956225e-02 8.946618e-02 8.661684e-02
#> 86 5.964004e-05 4.780044e-03 3.674716e-02 8.062404e-02 9.103233e-02
#> 87 2.382512e-05 2.633800e-03 2.592856e-02 6.899136e-02 9.068999e-02
#> 88 9.131071e-06 1.387266e-03 1.744046e-02 5.615826e-02 8.579742e-02
#> 89 3.362407e-06 6.995993e-04 1.120147e-02 4.355666e-02 7.721284e-02
#> 90 1.191369e-06 3.383063e-04 6.880402e-03 3.224192e-02 6.621012e-02
#> 91 4.067338e-07 1.570992e-04 4.047908e-03 2.281332e-02 5.418379e-02
#> 92 1.339730e-07 7.015324e-05 2.284314e-03 1.545275e-02 4.238263e-02
#> 93 4.263051e-08 3.016571e-05 1.238211e-03 1.003451e-02 3.173346e-02
#> 94 1.312048e-08 1.250636e-05 6.455491e-04 6.255460e-03 2.277565e-02
#> 95 3.910343e-09 5.005388e-06 3.241294e-04 3.748612e-03 1.569051e-02
#> 96 1.129809e-09 1.936201e-06 1.569279e-04 2.162142e-03 1.038924e-02
#> 97 3.168040e-10 7.247126e-07 7.334852e-05 1.201803e-03 6.619965e-03
#> 98 8.630263e-11 2.627616e-07 3.313522e-05 6.445121e-04 4.064232e-03
#> 99 2.286338e-11 9.238440e-08 1.448354e-05 3.338652e-04 2.406898e-03
#> 100 5.895950e-12 3.152959e-08 6.132067e-06 1.672359e-04 1.376513e-03
#> 101 1.481371e-12 1.045556e-08 2.517275e-06 8.108938e-05 7.610548e-04
#> 102 3.630429e-13 3.372062e-09 1.002938e-06 3.809926e-05 4.072084e-04
#> 103 8.681944e-14 1.058665e-09 3.881943e-07 1.736252e-05 2.110663e-04
#> 104 2.020606e-14 3.238301e-10 1.461012e-07 7.681797e-06 1.060824e-04
#> 105 4.662937e-15 9.659140e-11 5.351441e-08 3.302653e-06 5.174819e-05
#> 106 9.992007e-16 2.811751e-11 1.909282e-08 1.381004e-06 2.452260e-05
#> 107 2.220446e-16 7.994161e-12 6.640617e-09 5.621175e-07 1.129887e-05
#> 108 1.110223e-16 2.221556e-12 2.253356e-09 2.229028e-07 5.066006e-06
#> 109 0.000000e+00 6.038503e-13 7.465634e-10 8.617942e-08 2.212132e-06
#> 110 0.000000e+00 1.607603e-13 2.416793e-10 3.251046e-08 9.414802e-07
#> 111 0.000000e+00 4.185541e-14 7.649947e-11 1.197552e-08 3.908366e-07
#> 112 0.000000e+00 1.065814e-14 2.369305e-11 4.310498e-09 1.583730e-07
#> 113 0.000000e+00 2.664535e-15 7.184919e-12 1.517125e-09 6.268678e-08
#> 114 0.000000e+00 6.661338e-16 2.134737e-12 5.224750e-10 2.425365e-08
#> 115 0.000000e+00 2.220446e-16 6.217249e-13 1.761732e-10 9.178504e-09
#> 116 0.000000e+00 0.000000e+00 1.776357e-13 5.819900e-11 3.399683e-09
#> 117 0.000000e+00 0.000000e+00 4.984901e-14 1.884737e-11 1.233234e-09
#> 118 0.000000e+00 0.000000e+00 1.376677e-14 5.986989e-12 4.383832e-10
#> 119 0.000000e+00 0.000000e+00 3.663736e-15 1.866507e-12 1.527972e-10
#> 120 0.000000e+00 0.000000e+00 9.992007e-16 5.713208e-13 5.224865e-11
#> 121 0.000000e+00 0.000000e+00 2.220446e-16 1.718625e-13 1.753742e-11
#> 122 0.000000e+00 0.000000e+00 1.110223e-16 5.084821e-14 5.781264e-12
#> 123 0.000000e+00 0.000000e+00 0.000000e+00 1.476597e-14 1.872724e-12
#> 124 0.000000e+00 0.000000e+00 0.000000e+00 4.218847e-15 5.963008e-13
#> 125 0.000000e+00 0.000000e+00 0.000000e+00 1.221245e-15 1.868505e-13
#> 126 0.000000e+00 0.000000e+00 0.000000e+00 3.330669e-16 5.750955e-14
#> 127 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16 1.754152e-14
#> 128 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 5.218048e-15
#> 129 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.443290e-15
#> 130 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 4.440892e-16
#> 131 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.220446e-16
#> 132 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 133 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 134 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 135 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 136 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 137 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 138 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 139 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 140 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 141 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 142 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 143 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 144 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> age
#> length 11 12 13 14 15
#> 3 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 4 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 5 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 6 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 7 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 8 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 9 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 10 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 11 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 12 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 13 1.527209e-301 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> 14 1.042912e-279 2.678548e-286 1.196328e-291 5.343286e-296 1.535753e-299
#> 15 4.954024e-260 2.192807e-266 1.516520e-271 9.636553e-276 3.683465e-279
#> 16 3.310218e-242 2.443096e-248 2.547762e-253 2.254520e-257 1.126407e-260
#> 17 5.512966e-226 6.588741e-232 1.012006e-236 1.223683e-240 7.869737e-244
#> 18 3.662686e-211 6.905836e-217 1.529870e-221 2.485365e-225 2.029530e-228
#> 19 1.434904e-197 4.169342e-203 1.307354e-207 2.810547e-211 2.878611e-214
#> 20 4.600778e-185 2.017089e-190 8.801662e-195 2.469901e-198 3.137986e-201
#> 21 1.593261e-173 1.033962e-178 6.182597e-183 2.236717e-186 3.489808e-189
#> 22 7.549236e-163 7.126220e-168 5.757828e-172 2.655286e-175 5.041363e-178
#> 23 5.996198e-153 8.102715e-158 8.733502e-162 5.081110e-165 1.164144e-167
#> 24 9.515381e-144 1.813865e-148 2.577515e-152 1.873962e-155 5.141411e-158
#> 25 3.514087e-135 9.322687e-140 1.727654e-143 1.555970e-146 5.075973e-149
#> 26 3.451018e-127 1.258327e-131 3.010688e-135 3.331787e-138 1.283948e-140
#> 27 1.013213e-119 5.019121e-124 1.536066e-127 2.073129e-130 9.380163e-133
#> 28 9.862007e-113 6.565813e-117 2.548111e-120 4.164912e-123 2.200142e-125
#> 29 3.487618e-106 3.089447e-110 1.508169e-113 2.966063e-116 1.819697e-118
#> 30 4.861788e-100 5.676685e-104 3.459592e-107 8.136819e-110 5.769123e-112
#> 31 2.873354e-94 4.383403e-98 3.311551e-101 9.261577e-104 7.553955e-106
#> 32 7.685134e-89 1.519177e-92 1.413305e-95 4.675081e-98 4.367509e-100
#> 33 9.864393e-84 2.507188e-87 2.854373e-90 1.111164e-92 1.184161e-94
#> 34 6.406721e-79 2.078411e-82 2.878706e-85 1.312561e-87 1.589553e-89
#> 35 2.208742e-74 9.082756e-78 1.522000e-80 8.091855e-83 1.109570e-84
#> 36 4.221461e-70 2.186123e-73 4.408829e-76 2.721638e-78 4.211164e-80
#> 37 4.653135e-66 3.015847e-69 7.283688e-72 5.199865e-74 9.049452e-76
#> 38 3.066436e-62 2.472870e-65 7.118527e-68 5.854834e-70 1.142534e-71
#> 39 1.248586e-58 1.245862e-61 4.255617e-64 4.017948e-66 8.766306e-68
#> 40 3.237319e-55 3.975769e-58 1.604612e-60 1.733164e-62 4.216049e-64
#> 41 5.494693e-52 8.263687e-55 3.924828e-57 4.833933e-59 1.307596e-60
#> 42 6.262271e-49 1.147813e-51 6.390580e-54 8.947048e-56 2.684527e-57
#> 43 4.905912e-46 1.090883e-48 7.093677e-51 1.125594e-52 3.737169e-54
#> 44 2.699540e-43 7.250493e-46 5.487305e-48 9.840341e-50 3.607024e-51
#> 45 1.064423e-40 3.438715e-43 3.018754e-45 6.101597e-47 2.463823e-48
#> 46 3.063524e-38 1.185691e-40 1.203506e-42 2.734664e-44 1.213913e-45
#> 47 6.547187e-36 3.024206e-38 3.538326e-40 9.016062e-42 4.390836e-43
#> 48 1.055665e-33 5.798254e-36 7.796768e-38 2.222620e-39 1.185245e-40
#> 49 1.303353e-31 8.482465e-34 1.307206e-35 4.159462e-37 2.424332e-38
#> 50 1.249244e-29 9.601347e-32 1.691149e-33 5.993338e-35 3.811259e-36
#> 51 9.415889e-28 8.518549e-30 1.710463e-31 6.737254e-33 4.666488e-34
#> 52 5.648236e-26 5.996345e-28 1.369139e-29 5.981688e-31 4.505367e-32
#> 53 2.726910e-24 3.387008e-26 8.772973e-28 4.243145e-29 3.469865e-30
#> 54 1.070759e-22 1.551530e-24 4.548377e-26 2.430819e-27 2.154965e-28
#> 55 3.453386e-21 5.821493e-23 1.927214e-24 1.136060e-25 1.090237e-26
#> 56 9.232833e-20 1.805874e-21 6.736760e-23 4.372669e-24 4.536179e-25
#> 57 2.064059e-18 4.672200e-20 1.959998e-21 1.398463e-22 1.566147e-23
#> 58 3.889927e-17 1.016508e-18 4.785748e-20 3.747539e-21 4.524811e-22
#> 59 6.227582e-16 1.874216e-17 9.883881e-19 8.481066e-20 1.102635e-20
#> 60 8.530800e-15 2.949963e-16 1.739347e-17 1.632992e-18 2.283311e-19
#> 61 1.006716e-13 3.991076e-15 2.626279e-16 2.693918e-17 4.046276e-18
#> 62 1.030052e-12 4.671540e-14 3.424817e-15 3.832811e-16 6.177121e-17
#> 63 9.193501e-12 4.759828e-13 3.881189e-14 4.732513e-15 8.174875e-16
#> 64 7.198843e-11 4.246222e-12 3.844724e-13 5.101157e-14 9.434453e-15
#> 65 4.972346e-10 3.334868e-11 3.347685e-12 4.826938e-13 9.548413e-14
#> 66 3.045151e-09 2.317806e-10 2.575623e-11 4.030851e-12 8.519890e-13
#> 67 1.661579e-08 1.432645e-09 1.759699e-10 2.985522e-11 6.736193e-12
#> 68 8.115303e-08 7.912125e-09 1.072660e-09 1.970639e-10 4.741874e-11
#> 69 3.563404e-07 3.921649e-08 5.860025e-09 1.164440e-09 2.985469e-10
#> 70 1.412576e-06 1.751848e-07 2.881368e-08 6.186048e-09 1.688402e-09
#> 71 5.075345e-06 7.081371e-07 1.280317e-07 2.966648e-08 8.612345e-09
#> 72 1.659063e-05 2.600084e-06 5.160925e-07 1.289318e-07 3.977813e-08
#> 73 4.951780e-05 8.703289e-06 1.894178e-06 5.096822e-07 1.669777e-07
#> 74 1.354083e-04 2.665061e-05 6.352039e-06 1.839128e-06 6.392946e-07
#> 75 3.403522e-04 7.490139e-05 1.952766e-05 6.077910e-06 2.239947e-06
#> 76 7.887874e-04 1.938193e-04 5.520905e-05 1.845505e-05 7.205535e-06
#> 77 1.690544e-03 4.631599e-04 1.439822e-04 5.164412e-05 2.134621e-05
#> 78 3.360133e-03 1.025028e-03 3.473777e-04 1.335786e-04 5.840839e-05
#> 79 6.210456e-03 2.106684e-03 7.774803e-04 3.202381e-04 1.480290e-04
#> 80 1.070161e-02 4.031416e-03 1.618521e-03 7.134855e-04 3.484167e-04
#> 81 1.723479e-02 7.201059e-03 3.141851e-03 1.481082e-03 7.635624e-04
#> 82 2.600278e-02 1.203524e-02 5.700864e-03 2.871526e-03 1.561883e-03
#> 83 3.683602e-02 1.886371e-02 9.691439e-03 5.211935e-03 2.989029e-03
#> 84 4.910264e-02 2.778856e-02 1.547001e-02 8.875809e-03 5.363719e-03
#> 85 6.171875e-02 3.855531e-02 2.323644e-02 1.421246e-02 9.044651e-03
#> 86 7.329475e-02 5.048426e-02 3.290858e-02 2.144242e-02 1.436166e-02
#> 87 8.239482e-02 6.250579e-02 4.403079e-02 3.054052e-02 2.151616e-02
#> 88 8.783999e-02 7.331312e-02 5.576029e-02 4.114309e-02 3.047177e-02
#> 89 8.896352e-02 8.160418e-02 6.695685e-02 5.251972e-02 4.086918e-02
#> 90 8.574139e-02 8.634832e-02 7.636878e-02 6.363684e-02 5.200203e-02
#> 91 7.876449e-02 8.699978e-02 8.287191e-02 7.331311e-02 6.287846e-02
#> 92 6.907275e-02 8.359677e-02 8.569611e-02 8.043387e-02 7.236743e-02
#> 93 5.791194e-02 7.672299e-02 8.457501e-02 8.416886e-02 7.939982e-02
#> 94 4.648771e-02 6.735327e-02 7.977918e-02 8.413254e-02 8.317264e-02
#> 95 3.577806e-02 5.663661e-02 7.203087e-02 8.044465e-02 8.330117e-02
#> 96 2.643511e-02 4.568004e-02 6.233346e-02 7.367973e-02 7.987902e-02
#> 97 1.877529e-02 3.538423e-02 5.176867e-02 6.472792e-02 7.343522e-02
#> 98 1.283418e-02 2.635661e-02 4.131471e-02 5.461117e-02 6.480728e-02
#> 99 8.453582e-03 1.890116e-02 3.172216e-02 4.430482e-02 5.497031e-02
#> 100 5.371560e-03 1.306502e-02 2.346121e-02 3.460302e-02 4.486785e-02
#> 101 3.296291e-03 8.714430e-03 1.673241e-02 2.604750e-02 3.528127e-02
#> 102 1.955585e-03 5.614919e-03 1.152021e-02 1.891841e-02 2.675692e-02
#> 103 1.122791e-03 3.498442e-03 7.665009e-03 1.327183e-02 1.959185e-02
#> 104 6.244825e-04 2.109927e-03 4.933503e-03 9.002209e-03 1.386469e-02
#> 105 3.367866e-04 1.232940e-03 3.074777e-03 5.909739e-03 9.492321e-03
#> 106 1.762794e-04 6.987208e-04 1.857367e-03 3.758398e-03 6.293318e-03
#> 107 8.962851e-05 3.843647e-04 1.088438e-03 2.317674e-03 4.044222e-03
#> 108 4.430579e-05 2.054185e-04 6.193186e-04 1.387086e-03 2.521318e-03
#> 109 2.131101e-05 1.067473e-04 3.424511e-04 8.063607e-04 1.526279e-03
#> 110 9.982150e-06 5.398196e-05 1.841681e-04 4.557122e-04 8.978781e-04
#> 111 4.556761e-06 2.658613e-05 9.640653e-05 2.505741e-04 5.137236e-04
#> 112 2.028733e-06 1.276164e-05 4.915965e-05 1.341538e-04 2.860949e-04
#> 113 8.815437e-07 5.974766e-06 2.443679e-05 6.998693e-05 1.551987e-04
#> 114 3.741246e-07 2.730280e-06 1.185018e-05 3.560360e-05 8.206939e-05
#> 115 1.551800e-07 1.218606e-06 5.609872e-06 1.767416e-05 4.233479e-05
#> 116 6.294858e-08 5.315912e-07 2.594304e-06 8.567365e-06 2.131742e-05
#> 117 2.498860e-08 2.267933e-07 1.172766e-06 4.057936e-06 1.048530e-05
#> 118 9.713359e-09 9.468716e-08 5.185601e-07 1.879271e-06 5.040993e-06
#> 119 3.699357e-09 3.870990e-08 2.244134e-07 8.514680e-07 2.370337e-06
#> 120 1.381216e-09 1.550519e-08 9.510819e-08 3.776605e-07 1.090750e-06
#> 121 5.058446e-10 6.088376e-09 3.949621e-08 1.640745e-07 4.914908e-07
#> 122 1.818139e-10 2.344950e-09 1.608061e-08 6.986033e-08 2.169835e-07
#> 123 6.416789e-11 8.863482e-10 6.422342e-09 2.916801e-08 9.390690e-08
#> 124 2.224898e-11 3.289555e-10 2.517415e-09 1.194810e-08 3.986202e-08
#> 125 7.582490e-12 1.199360e-10 9.689615e-10 4.804292e-09 1.660491e-08
#> 126 2.541301e-12 4.297840e-11 3.664055e-10 1.897203e-09 6.791201e-09
#> 127 8.378853e-13 1.514422e-11 1.361845e-10 7.361415e-10 2.728354e-09
#> 128 2.718936e-13 5.249579e-12 4.977430e-11 2.807857e-10 1.077218e-09
#> 129 8.693046e-14 1.791123e-12 1.789746e-11 1.053301e-10 4.181713e-10
#> 130 2.731149e-14 6.016299e-13 6.333822e-12 3.887612e-11 1.596782e-10
#> 131 8.548717e-15 1.990630e-13 2.207123e-12 1.412392e-11 6.000189e-11
#> 132 2.553513e-15 6.494805e-14 7.576162e-13 5.052958e-12 2.219702e-11
#> 133 7.771561e-16 2.087219e-14 2.562395e-13 1.780909e-12 8.087420e-12
#> 134 2.220446e-16 6.550316e-15 8.537615e-14 6.186163e-13 2.903233e-12
#> 135 1.110223e-16 2.109424e-15 2.819966e-14 2.118306e-13 1.027289e-12
#> 136 0.000000e+00 5.551115e-16 9.103829e-15 7.149836e-14 3.583800e-13
#> 137 0.000000e+00 2.220446e-16 2.886580e-15 2.386980e-14 1.233458e-13
#> 138 0.000000e+00 1.110223e-16 8.881784e-16 7.771561e-15 4.196643e-14
#> 139 0.000000e+00 0.000000e+00 3.330669e-16 2.553513e-15 1.398881e-14
#> 140 0.000000e+00 0.000000e+00 1.110223e-16 8.881784e-16 4.662937e-15
#> 141 0.000000e+00 0.000000e+00 0.000000e+00 2.220446e-16 1.554312e-15
#> 142 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16 4.440892e-16
#> 143 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16
#> 144 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.110223e-16
sim_abundance(growth = sim_vonB(plot = TRUE))
#> $ages
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $lengths
#> [1] 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
#> [20] 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112
#> [39] 115 118 121 124 127 130 133 136 139 142 145 148 151 154 157 160 163 166 169
#> [58] 172 175 178 181 184 187 190 193 196 199 202 205 208 211 214 217 220 223 226
#> [77] 229 232 235 238
#>
#> $years
#> [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
#>
#> $R
#> 1 2 3 4 5 6 7 8
#> 36572901 80436198 54482614 118112737 114293663 62663209 77044722 139331965
#> 9 10 11 12 13 14 15 16
#> 147934277 301213602 374754358 269632916 329401360 418526571 349394059 306104581
#> 17 18 19 20
#> 392445393 296259744 217682547 564685818
#>
#> $N0
#> [1] 36572900.63 28092387.99 21692987.57 15726287.19 9254185.61 5701935.78
#> [7] 3323159.62 2116826.35 1240623.93 793260.71 603137.13 459816.59
#> [13] 343028.54 256367.81 204972.93 174147.01 130090.33 89687.95
#> [19] 59706.42 45484.04
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.2638089 0.6785047 0.2632305 0.2438119 0.4539475 0.5896211 0.7590788
#> 2 0.2585096 0.6137671 0.2120209 0.2480577 0.4478759 0.5693207 0.5925383
#> 3 0.3216554 0.6244733 0.1652556 0.3383544 0.5307474 0.7766148 0.5386616
#> 4 0.5302577 0.6982794 0.2164970 0.3271479 0.5283745 0.5919246 0.3891121
#> 5 0.4842702 0.8035064 0.2744338 0.3215327 0.4576851 0.5323345 0.3472349
#> 6 0.5398897 1.0047411 0.3017926 0.3812596 0.6019709 0.4823433 0.2958944
#> 7 0.4509981 0.5555164 0.2246635 0.3685930 0.5961835 0.5394552 0.2982995
#> 8 0.5343035 0.4704491 0.2171377 0.3755660 0.6504986 0.3012580 0.3028306
#> 9 0.4472178 0.4192259 0.2974668 0.4119303 0.6235393 0.3122976 0.2363791
#> 10 0.2740073 0.2959956 0.2350228 0.3817609 0.5039464 0.3957030 0.2469913
#> 11 0.2713169 0.2618107 0.2907597 0.2885637 0.3523802 0.4239533 0.2554928
#> 12 0.2930140 0.2444112 0.3531864 0.2381464 0.2192787 0.2583710 0.3194709
#> 13 0.2912005 0.2571131 0.4730505 0.3025964 0.2183211 0.2022618 0.2725134
#> 14 0.2237352 0.2611319 0.3541512 0.2434702 0.2250285 0.2412803 0.3091314
#> 15 0.1629781 0.2728676 0.3181729 0.1985870 0.2275789 0.2600263 0.4757813
#> 16 0.2916708 0.4193871 0.3761817 0.2015189 0.2264829 0.4092597 0.5634474
#> 17 0.3718927 0.3774843 0.2668223 0.1029163 0.1447990 0.3028811 0.3367081
#> 18 0.4068969 0.3359322 0.1947521 0.1347353 0.1959772 0.2908433 0.4393475
#> 19 0.2720781 0.3114672 0.1543050 0.1337525 0.2037000 0.3178691 0.5621821
#> 20 0.2862608 0.5108702 0.2863866 0.1572373 0.1990796 0.2463154 0.6663171
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.4658063 0.7657848 0.5966064 0.4560045 0.6888293 0.5260405 0.4303925
#> 2 0.3193270 0.6406553 0.6101395 0.4959752 0.6983609 0.7787360 0.6040895
#> 3 0.3161306 0.7231519 0.6159383 0.4847963 0.5955241 0.6642551 0.7225190
#> 4 0.3368061 0.9605435 0.7616502 0.7296882 0.6739525 0.6611872 0.4828406
#> 5 0.3459793 0.7690811 0.7419493 0.7366984 0.5633157 0.6753924 0.4296410
#> 6 0.3218314 0.6582102 0.7397163 0.7148126 0.6029686 0.6635196 0.4606806
#> 7 0.3855503 0.5613567 0.6770974 0.7856593 0.6534264 0.7717218 0.4659843
#> 8 0.4521725 0.3663993 0.6573242 0.7743748 0.8207023 0.9362137 0.6094529
#> 9 0.4625596 0.3569810 0.7404002 1.1596843 1.3803110 1.3867493 0.7548128
#> 10 0.4653932 0.3996513 0.9223177 1.4017147 1.2629940 1.5229653 0.8440360
#> 11 0.4310895 0.3466949 0.7473191 1.5177944 1.2144534 1.2971952 0.5860878
#> 12 0.6077576 0.3830472 0.7992734 1.6853292 1.5996452 1.5619979 1.0259488
#> 13 0.4072212 0.2959309 0.6097131 1.1714334 1.2758984 1.5581040 1.2299924
#> 14 0.3925837 0.2273754 0.5258864 1.2137057 1.5763182 1.4872011 1.1964554
#> 15 0.5338480 0.2165698 0.4444136 1.1630578 1.7733886 1.4854002 1.0976439
#> 16 0.5129537 0.2060772 0.4299114 0.7077106 0.9127924 0.8570195 0.8541247
#> 17 0.3216857 0.1550973 0.3712771 0.7719176 0.7904136 0.4519143 0.6072829
#> 18 0.3377591 0.1767999 0.3737333 0.6143619 0.6500019 0.5277580 0.4638949
#> 19 0.3773844 0.2051346 0.5474831 0.7311671 0.7836076 0.5498107 0.4514973
#> 20 0.3343136 0.1728661 0.5651455 0.4391467 0.6056164 0.4847881 0.3238300
#> year
#> age 15 16 17 18 19 20
#> 1 0.5341572 0.5788350 0.6415358 0.4577462 0.7678126 0.5037244
#> 2 0.5604460 0.4668307 0.5679529 0.4422773 0.5744469 0.3864178
#> 3 0.7781000 0.8018497 0.6621893 0.5627314 0.7880859 0.4711242
#> 4 0.8270926 0.9093756 0.9938898 0.8583055 0.8723799 0.4261248
#> 5 0.9379522 0.8386899 0.8076683 0.7404040 0.7421558 0.4759705
#> 6 1.2142369 0.9713495 0.9745852 0.7092647 0.6397561 0.4827604
#> 7 0.9918959 0.6515762 0.6231871 0.6414090 0.5087562 0.5477136
#> 8 1.0101115 0.6466161 0.8256096 0.8145094 0.9163646 1.1593565
#> 9 0.7788758 0.4619371 0.8365088 0.9157071 1.0461774 1.2479512
#> 10 0.8990824 0.3831491 0.7060816 0.6897338 0.7645546 0.9709047
#> 11 0.6086911 0.3072266 0.4385394 0.5047338 0.7286456 1.2915514
#> 12 0.8024643 0.4877124 0.8042340 0.6214914 0.7594307 1.2525007
#> 13 0.6717194 0.5247939 0.9236665 0.7355357 0.7413827 0.8282138
#> 14 0.6385499 0.5145750 0.8985130 0.7067227 0.7842680 0.7359193
#> 15 0.9156988 0.5701763 0.6690784 0.5526609 0.6913812 1.0115716
#> 16 0.6821141 0.5630698 0.7783541 0.4710775 0.5665219 0.8785378
#> 17 0.5091744 0.5975635 0.8908443 0.6503265 0.7857489 0.9766212
#> 18 0.6709975 0.5491643 0.7636873 0.7993376 0.9452398 1.1490060
#> 19 0.6074974 0.3577231 0.6220648 0.8684608 1.2443241 1.2016726
#> 20 0.5182472 0.3214884 0.7106714 0.8819427 1.2105955 1.5112974
#>
#> $N
#> year
#> age 1 2 3 4 5 6
#> 1 36572900.63 80436198.25 54482613.84 118112737.29 114293662.91 62663208.60
#> 2 28092387.99 28092387.99 40811324.45 41873412.97 92557279.89 72589742.17
#> 3 21692987.57 21692987.57 15206630.30 33014231.16 32674449.61 59142618.55
#> 4 15726287.19 15726287.19 11617537.23 12890311.09 23537251.31 19217974.77
#> 5 9254185.61 9254185.61 7822891.74 9356008.99 9293619.42 13876681.09
#> 6 5701935.78 5701935.78 4143619.06 5945416.11 6783451.83 5880506.78
#> 7 3323159.62 3323159.62 2087703.50 3064170.60 4060722.45 3715507.36
#> 8 2116826.35 2116826.35 1906748.77 1667626.21 2119507.91 2237093.28
#> 9 1240623.93 1240623.93 1322427.23 1534587.89 1145493.08 1105928.64
#> 10 793260.71 793260.71 815779.28 982163.01 1016465.68 614034.55
#> 11 603137.13 603137.13 590019.93 644916.59 670481.70 614089.36
#> 12 459816.59 459816.59 464208.55 441155.13 483261.19 471357.23
#> 13 343028.54 343028.54 360112.48 326081.54 347668.75 388106.05
#> 14 256367.81 256367.81 265257.37 224385.59 240940.75 279479.52
#> 15 204972.93 204972.93 197449.18 186149.37 175896.51 192389.62
#> 16 174147.01 174147.01 156024.08 143639.74 152621.72 140094.45
#> 17 130090.33 130090.33 114492.89 107107.03 117423.78 121690.32
#> 18 89687.95 89687.95 89187.84 87679.70 96632.23 101594.61
#> 19 59706.42 59706.42 64097.43 73405.04 76627.43 79434.69
#> 20 45484.04 45484.04 43727.28 54932.18 64215.21 62505.54
#> year
#> age 7 8 9 10 11
#> 1 77044722.32 139331965.14 147934277.15 301213601.71 374754358.13
#> 2 34749090.93 36064439.04 87448758.84 68784832.32 165871481.56
#> 3 41079241.34 19213537.91 26205788.67 46080862.62 37369086.85
#> 4 27203265.14 23970917.34 14005982.32 12715585.71 24889832.69
#> 5 10632564.23 18434517.59 17116367.98 5359877.18 5936847.59
#> 6 8148837.83 7513387.70 13042921.30 7932388.02 2552292.03
#> 7 3630243.17 6061643.22 5445856.82 6753327.26 3785726.64
#> 8 2166385.41 2693927.30 4122379.73 3106505.35 3431295.61
#> 9 1655195.97 1600361.34 1713996.13 2857740.64 1609903.53
#> 10 809278.45 1306746.27 1007699.32 1199430.16 1362922.25
#> 11 413372.12 632165.85 820490.50 675716.61 476889.19
#> 12 401893.51 320171.06 410781.84 580104.01 320042.77
#> 13 364033.27 291989.03 174355.77 280063.15 260847.00
#> 14 317036.46 277197.96 194317.82 129692.59 152216.22
#> 15 219565.09 232731.49 187194.51 154797.79 76652.37
#> 16 148338.42 136437.61 136460.80 150743.30 99256.37
#> 17 93042.57 84440.64 81688.54 111047.74 98068.58
#> 18 89891.05 66443.31 61213.22 69952.50 76606.59
#> 19 75955.47 57930.90 47398.47 51293.46 48138.54
#> 20 57804.47 43291.88 39720.46 38607.84 29668.33
#> year
#> age 12 13 14 15 16
#> 1 269632915.92 3.294014e+08 4.185266e+08 3.493941e+08 3.061046e+08
#> 2 237523434.84 1.353998e+08 1.946565e+08 2.721485e+08 2.048019e+08
#> 3 101011874.96 1.181441e+08 6.214660e+07 1.063938e+08 1.553844e+08
#> 4 23012729.38 5.568518e+07 6.080368e+07 3.017390e+07 4.886430e+07
#> 5 11998374.85 1.172936e+07 2.874681e+07 3.751758e+07 1.319561e+07
#> 6 2841919.94 6.830893e+06 5.969735e+06 1.870677e+07 1.468545e+07
#> 7 1248795.09 1.555056e+06 3.518152e+06 3.766032e+06 5.554725e+06
#> 8 1725606.42 6.496982e+05 7.187724e+05 2.207701e+06 1.396719e+06
#> 9 1581799.46 7.594781e+05 2.547530e+05 3.907593e+05 8.039969e+05
#> 10 504841.86 3.978231e+05 1.897832e+05 1.197590e+05 1.793279e+05
#> 11 335516.68 1.427723e+05 8.675101e+04 8.160138e+04 4.873508e+04
#> 12 104531.64 9.960558e+04 3.901928e+04 4.827695e+04 4.439625e+04
#> 13 59330.61 2.111206e+04 2.088895e+04 1.398670e+04 2.163884e+04
#> 14 80842.32 1.656392e+04 4.444826e+03 6.105731e+03 7.144821e+03
#> 15 45222.57 1.671293e+04 3.743519e+03 1.343509e+03 3.224178e+03
#> 16 23956.09 7.676838e+03 3.784002e+03 1.249049e+03 5.377220e+02
#> 17 48910.67 9.616019e+03 3.258243e+03 1.610682e+03 6.314529e+02
#> 18 45320.04 2.218867e+04 6.119718e+03 1.775186e+03 9.680062e+02
#> 19 41443.09 2.365909e+04 1.308968e+04 3.848260e+03 9.074723e+02
#> 20 23171.34 1.892935e+04 1.365269e+04 8.333859e+03 2.096195e+03
#> year
#> age 17 18 19 20
#> 1 3.924454e+08 2.962597e+08 2.176825e+08 5.646858e+08
#> 2 1.715872e+08 2.066159e+08 1.874459e+08 1.010106e+08
#> 3 1.284080e+08 9.723579e+07 1.327655e+08 1.055351e+08
#> 4 6.968967e+07 6.622269e+07 5.539046e+07 6.037037e+07
#> 5 1.968135e+07 2.579453e+07 2.807046e+07 2.315076e+07
#> 6 5.704154e+06 8.775845e+06 1.230196e+07 1.336396e+07
#> 7 5.559499e+06 2.152456e+06 4.317767e+06 6.488311e+06
#> 8 2.895254e+06 2.981185e+06 1.133376e+06 2.596027e+06
#> 9 7.316230e+05 1.268028e+06 1.320237e+06 4.533168e+05
#> 10 5.065679e+05 3.169540e+05 5.075074e+05 4.637703e+05
#> 11 1.222499e+05 2.500289e+05 1.590188e+05 2.362656e+05
#> 12 3.584387e+04 7.884845e+04 1.509340e+05 7.673647e+04
#> 13 2.726061e+04 1.603764e+04 4.235287e+04 7.062698e+04
#> 14 1.280321e+04 1.082411e+04 7.686017e+03 2.017922e+04
#> 15 4.270850e+03 5.213144e+03 5.339081e+03 3.508311e+03
#> 16 1.823033e+03 2.187445e+03 2.999730e+03 2.674259e+03
#> 17 3.062102e+02 8.370659e+02 1.365686e+03 1.702334e+03
#> 18 3.473941e+02 1.256409e+02 4.368441e+02 6.224500e+02
#> 19 5.589579e+02 1.618666e+02 5.649149e+01 1.697517e+02
#> 20 6.345652e+02 3.000681e+02 6.791872e+01 1.627721e+01
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 2.222102e-55 4.887156e-55 3.310264e-55 7.176313e-55 6.944273e-55
#> 4 2.687613e-15 5.910973e-15 4.003735e-15 8.679689e-15 8.399038e-15
#> 7 1.966490e-01 4.324979e-01 2.929479e-01 6.350811e-01 6.145463e-01
#> 10 8.209152e+04 1.805471e+05 1.222917e+05 2.651158e+05 2.565435e+05
#> 13 9.825018e+06 2.160854e+07 1.463632e+07 3.173004e+07 3.070408e+07
#> 16 2.255371e+07 4.959825e+07 3.359809e+07 7.283029e+07 7.048312e+07
#> 19 4.536473e+06 9.344372e+06 6.738481e+06 1.373299e+07 1.426641e+07
#> 22 6.019847e+06 6.147784e+06 8.747659e+06 9.158516e+06 1.981187e+07
#> 25 1.246665e+07 1.246759e+07 1.802210e+07 1.858735e+07 4.086280e+07
#> 28 8.761653e+06 8.761656e+06 1.169754e+07 1.310086e+07 2.641432e+07
#> 31 6.728189e+06 6.728189e+06 6.002559e+06 1.014028e+07 1.318747e+07
#> 34 8.015069e+06 8.015069e+06 5.783796e+06 1.180153e+07 1.240751e+07
#> 37 7.318784e+06 7.318784e+06 5.223853e+06 9.677515e+06 1.100204e+07
#> 40 6.265534e+06 6.265534e+06 4.579465e+06 6.676966e+06 9.256119e+06
#> 43 5.713141e+06 5.713141e+06 4.296457e+06 5.249289e+06 8.092231e+06
#> 46 4.979812e+06 4.979812e+06 3.857676e+06 4.529176e+06 6.530324e+06
#> 49 4.174254e+06 4.174254e+06 3.304322e+06 3.970110e+06 4.997515e+06
#> 52 3.497627e+06 3.497627e+06 2.761275e+06 3.455303e+06 3.962201e+06
#> 55 2.924416e+06 2.924416e+06 2.251149e+06 2.928571e+06 3.292465e+06
#> 58 2.423796e+06 2.423796e+06 1.813720e+06 2.410150e+06 2.766561e+06
#> 61 1.992596e+06 1.992596e+06 1.478400e+06 1.945625e+06 2.289386e+06
#> 64 1.627690e+06 1.627690e+06 1.236806e+06 1.563902e+06 1.852851e+06
#> 67 1.323331e+06 1.323331e+06 1.059239e+06 1.270178e+06 1.475820e+06
#> 70 1.073260e+06 1.073260e+06 9.162686e+05 1.049794e+06 1.171308e+06
#> 73 8.712964e+05 8.712964e+05 7.903159e+05 8.795936e+05 9.373670e+05
#> 76 7.109989e+05 7.109989e+05 6.758794e+05 7.398302e+05 7.610564e+05
#> 79 5.851461e+05 5.851461e+05 5.734960e+05 6.193060e+05 6.261251e+05
#> 82 4.859700e+05 4.859700e+05 4.841542e+05 5.138699e+05 5.188291e+05
#> 85 4.060922e+05 4.060922e+05 4.071074e+05 4.225405e+05 4.300420e+05
#> 88 3.394466e+05 3.394466e+05 3.402739e+05 3.446265e+05 3.545820e+05
#> 91 2.817358e+05 2.817358e+05 2.814069e+05 2.787350e+05 2.896221e+05
#> 94 2.304166e+05 2.304166e+05 2.289183e+05 2.230158e+05 2.334601e+05
#> 97 1.843880e+05 1.843880e+05 1.821039e+05 1.757365e+05 1.849505e+05
#> 100 1.435266e+05 1.435266e+05 1.409389e+05 1.356501e+05 1.433397e+05
#> 103 1.081757e+05 1.081757e+05 1.056967e+05 1.020221e+05 1.081807e+05
#> 106 7.869235e+04 7.869235e+04 7.658551e+04 7.442749e+04 7.918518e+04
#> 109 5.514251e+04 5.514251e+04 5.351502e+04 5.249312e+04 5.603858e+04
#> 112 3.718709e+04 3.718709e+04 3.602718e+04 3.571851e+04 3.826261e+04
#> 115 2.413291e+04 2.413291e+04 2.336220e+04 2.342405e+04 2.517883e+04
#> 118 1.507888e+04 1.507888e+04 1.459761e+04 1.480250e+04 1.596484e+04
#> 121 9.080179e+03 9.080179e+03 8.795912e+03 9.018138e+03 9.757537e+03
#> 124 5.276433e+03 5.276433e+03 5.116744e+03 5.301628e+03 5.753700e+03
#> 127 2.963097e+03 2.963097e+03 2.877376e+03 3.011252e+03 3.277271e+03
#> 130 1.610635e+03 1.610635e+03 1.566481e+03 1.654816e+03 1.805731e+03
#> 133 8.487947e+02 8.487947e+02 8.268897e+02 8.812207e+02 9.639160e+02
#> 136 4.343849e+02 4.343849e+02 4.238827e+02 4.554507e+02 4.993049e+02
#> 139 2.162301e+02 2.162301e+02 2.113491e+02 2.288302e+02 2.513813e+02
#> 142 1.048607e+02 1.048607e+02 1.026552e+02 1.119399e+02 1.232061e+02
#> 145 4.961648e+01 4.961648e+01 4.864510e+01 5.339787e+01 5.887594e+01
#> 148 2.293988e+01 2.293988e+01 2.252181e+01 2.487563e+01 2.747267e+01
#> 151 1.037803e+01 1.037803e+01 1.020180e+01 1.133323e+01 1.253561e+01
#> 154 4.600170e+00 4.600170e+00 4.527249e+00 5.056524e+00 5.601009e+00
#> 157 2.000394e+00 2.000394e+00 1.970717e+00 2.212229e+00 2.453743e+00
#> 160 8.543933e-01 8.543933e-01 8.424916e-01 9.502097e-01 1.055285e+00
#> 163 3.588314e-01 3.588314e-01 3.541198e-01 4.011648e-01 4.460614e-01
#> 166 1.483460e-01 1.483460e-01 1.465018e-01 1.666539e-01 1.855163e-01
#> 169 6.042966e-02 6.042966e-02 5.971496e-02 6.819394e-02 7.599469e-02
#> 172 2.427866e-02 2.427866e-02 2.400405e-02 2.751289e-02 3.069184e-02
#> 175 9.629125e-03 9.629125e-03 9.524409e-03 1.095432e-02 1.223212e-02
#> 178 3.773131e-03 3.773131e-03 3.733461e-03 4.307923e-03 4.814998e-03
#> 181 1.461888e-03 1.461888e-03 1.446945e-03 1.674702e-03 1.873533e-03
#> 184 5.604631e-04 5.604631e-04 5.548636e-04 6.440606e-04 7.211590e-04
#> 187 2.127682e-04 2.127682e-04 2.106794e-04 2.452161e-04 2.748020e-04
#> 190 8.003515e-05 8.003515e-05 7.925924e-05 9.249092e-05 1.037346e-04
#> 193 2.984963e-05 2.984963e-05 2.956253e-05 3.458232e-05 3.881688e-05
#> 196 1.104438e-05 1.104438e-05 1.093854e-05 1.282564e-05 1.440709e-05
#> 199 4.056225e-06 4.056225e-06 4.017340e-06 4.720795e-06 5.306793e-06
#> 202 1.479500e-06 1.479500e-06 1.465264e-06 1.725439e-06 1.941007e-06
#> 205 5.361569e-07 5.361569e-07 5.309615e-07 6.264995e-07 7.052618e-07
#> 208 1.931714e-07 1.931714e-07 1.912809e-07 2.261239e-07 2.547230e-07
#> 211 6.923815e-08 6.923815e-08 6.855327e-08 8.117848e-08 9.150324e-08
#> 214 2.468801e-08 2.468801e-08 2.443882e-08 2.899026e-08 3.269850e-08
#> 217 8.757476e-09 8.757476e-09 8.668014e-09 1.029809e-08 1.162068e-08
#> 220 3.097599e-09 3.097599e-09 3.065771e-09 3.648284e-09 4.120139e-09
#> 223 1.087003e-09 1.087003e-09 1.076447e-09 1.284683e-09 1.451746e-09
#> 226 3.795051e-10 3.795051e-10 3.750700e-10 4.479263e-10 5.065320e-10
#> 229 1.223180e-10 1.223180e-10 1.208968e-10 1.460106e-10 1.659562e-10
#> 232 5.351330e-11 5.351330e-11 5.326255e-11 6.262578e-11 7.051896e-11
#> 235 1.672823e-11 1.672823e-11 1.682565e-11 2.034699e-11 2.276600e-11
#> 238 5.049742e-12 5.049742e-12 4.854704e-12 6.098697e-12 7.129321e-12
#> year
#> length 6 7 8 9 10
#> 1 3.807302e-55 4.681096e-55 8.465555e-55 8.988216e-55 1.830119e-54
#> 4 4.604898e-15 5.661745e-15 1.023901e-14 1.087117e-14 2.213513e-14
#> 7 3.369342e-01 4.142622e-01 7.491749e-01 7.954287e-01 1.619597e+00
#> 10 1.406538e+05 1.729346e+05 3.127445e+05 3.320532e+05 6.761040e+05
#> 13 1.683397e+07 2.069745e+07 3.743042e+07 3.974136e+07 8.091863e+07
#> 16 3.864667e+07 4.750817e+07 8.591245e+07 9.122396e+07 1.857277e+08
#> 19 8.232087e+06 9.097670e+06 1.594974e+07 1.785783e+07 3.430835e+07
#> 22 1.546252e+07 7.540495e+06 7.996739e+06 1.883445e+07 1.535639e+07
#> 25 3.222949e+07 1.549905e+07 1.595936e+07 3.858288e+07 3.049103e+07
#> 28 2.283106e+07 1.173807e+07 1.070376e+07 2.466065e+07 2.100480e+07
#> 31 1.800220e+07 1.160882e+07 6.680608e+06 1.135994e+07 1.476014e+07
#> 34 2.098758e+07 1.495866e+07 7.532688e+06 9.873806e+06 1.635403e+07
#> 37 1.681649e+07 1.348008e+07 7.846162e+06 8.247372e+06 1.278626e+07
#> 40 1.091638e+07 1.101661e+07 8.332045e+06 6.535241e+06 7.787438e+06
#> 43 8.042171e+06 9.427049e+06 8.778431e+06 6.201909e+06 5.154029e+06
#> 46 6.675498e+06 7.549304e+06 8.306635e+06 6.427104e+06 3.882618e+06
#> 49 5.618456e+06 5.764989e+06 7.278300e+06 6.588841e+06 3.261590e+06
#> 52 4.606093e+06 4.557475e+06 6.067006e+06 6.373680e+06 3.136835e+06
#> 55 3.642761e+06 3.743655e+06 4.869188e+06 5.729185e+06 3.218609e+06
#> 58 2.834410e+06 3.070778e+06 3.866858e+06 4.833085e+06 3.223804e+06
#> 61 2.219600e+06 2.463965e+06 3.096877e+06 3.897181e+06 3.039493e+06
#> 64 1.754960e+06 1.943353e+06 2.486983e+06 3.060047e+06 2.698498e+06
#> 67 1.388940e+06 1.527702e+06 1.978247e+06 2.371352e+06 2.286930e+06
#> 70 1.094902e+06 1.207039e+06 1.554576e+06 1.823017e+06 1.876114e+06
#> 73 8.636290e+05 9.582863e+05 1.213495e+06 1.390646e+06 1.503059e+06
#> 76 6.890110e+05 7.626964e+05 9.463731e+05 1.053613e+06 1.180553e+06
#> 79 5.612706e+05 6.095536e+05 7.391663e+05 7.955245e+05 9.111209e+05
#> 82 4.675408e+05 4.918132e+05 5.785041e+05 6.010348e+05 6.934277e+05
#> 85 3.953334e+05 4.021721e+05 4.540043e+05 4.556740e+05 5.232132e+05
#> 88 3.352749e+05 3.325556e+05 3.574536e+05 3.470057e+05 3.935592e+05
#> 91 2.818692e+05 2.756643e+05 2.818545e+05 2.651506e+05 2.961728e+05
#> 94 2.327865e+05 2.264230e+05 2.214232e+05 2.026178e+05 2.230125e+05
#> 97 1.876535e+05 1.823142e+05 1.719700e+05 1.539750e+05 1.674198e+05
#> 100 1.469953e+05 1.427592e+05 1.309591e+05 1.155325e+05 1.245257e+05
#> 103 1.115296e+05 1.081520e+05 9.710237e+04 8.496528e+04 9.109763e+04
#> 106 8.176713e+04 7.903824e+04 6.975243e+04 6.085499e+04 6.509736e+04
#> 109 5.782844e+04 5.564079e+04 4.839480e+04 4.224868e+04 4.518916e+04
#> 112 3.941294e+04 3.771435e+04 3.238178e+04 2.834561e+04 3.035693e+04
#> 115 2.587623e+04 2.461822e+04 2.088821e+04 1.835063e+04 1.969074e+04
#> 118 1.636805e+04 1.548492e+04 1.299442e+04 1.145867e+04 1.232076e+04
#> 121 9.981457e+03 9.394211e+03 7.802430e+03 6.904071e+03 7.436950e+03
#> 124 5.873722e+03 5.503046e+03 4.526985e+03 4.017533e+03 4.333464e+03
#> 127 3.339565e+03 3.116720e+03 2.541327e+03 2.260651e+03 2.440343e+03
#> 130 1.837106e+03 1.709037e+03 1.382274e+03 1.231816e+03 1.329995e+03
#> 133 9.792736e+02 9.086575e+02 7.295290e+02 6.509626e+02 7.025951e+02
#> 136 5.066178e+02 4.691326e+02 3.741498e+02 3.341486e+02 3.603430e+02
#> 139 2.547714e+02 2.355548e+02 1.867414e+02 1.668669e+02 1.797164e+02
#> 142 1.247370e+02 1.151960e+02 9.083557e+01 8.119116e+01 8.729988e+01
#> 145 5.954978e+01 5.494997e+01 4.312252e+01 3.854758e+01 4.136825e+01
#> 148 2.776187e+01 2.560350e+01 2.000688e+01 1.788354e+01 1.915117e+01
#> 151 1.265667e+01 1.166886e+01 9.083528e+00 8.118395e+00 8.673925e+00
#> 154 5.650461e+00 5.208666e+00 4.040916e+00 3.610873e+00 3.848710e+00
#> 157 2.473455e+00 2.280024e+00 1.763524e+00 1.575497e+00 1.675136e+00
#> 160 1.062952e+00 9.799130e-01 7.558941e-01 6.751446e-01 7.160539e-01
#> 163 4.489706e-01 4.139659e-01 3.185635e-01 2.844681e-01 3.009526e-01
#> 166 1.865923e-01 1.720833e-01 1.321418e-01 1.179739e-01 1.245015e-01
#> 169 7.638205e-02 7.046169e-02 5.400363e-02 4.820443e-02 5.074763e-02
#> 172 3.082728e-02 2.844633e-02 2.176465e-02 1.942430e-02 2.040029e-02
#> 175 1.227794e-02 1.133323e-02 8.657881e-03 7.725876e-03 8.095182e-03
#> 178 4.829904e-03 4.459725e-03 3.402253e-03 3.035697e-03 3.173615e-03
#> 181 1.878145e-03 1.734769e-03 1.321784e-03 1.179292e-03 1.230169e-03
#> 184 7.224884e-04 6.675528e-04 5.080636e-04 4.532741e-04 4.718288e-04
#> 187 2.751430e-04 2.543039e-04 1.933509e-04 1.724978e-04 1.791925e-04
#> 190 1.038025e-04 9.597062e-05 7.290104e-05 6.503954e-05 6.743100e-05
#> 193 3.882004e-05 3.590197e-05 2.724916e-05 2.431163e-05 2.515790e-05
#> 196 1.440023e-05 1.332165e-05 1.010335e-05 9.014760e-06 9.311637e-06
#> 199 5.301388e-06 4.905680e-06 3.717992e-06 3.317680e-06 3.420954e-06
#> 202 1.938007e-06 1.793824e-06 1.358677e-06 1.212516e-06 1.248168e-06
#> 205 7.038033e-07 6.515996e-07 4.932461e-07 4.402474e-07 4.524669e-07
#> 208 2.540697e-07 2.352795e-07 1.780091e-07 1.589039e-07 1.630632e-07
#> 211 9.122691e-08 8.450602e-08 6.391026e-08 5.705526e-08 5.845499e-08
#> 214 3.258189e-08 3.018500e-08 2.281704e-08 2.037662e-08 2.085254e-08
#> 217 1.157514e-08 1.072911e-08 8.110830e-09 7.242581e-09 7.397126e-09
#> 220 4.101953e-09 3.801144e-09 2.869990e-09 2.564028e-09 2.617377e-09
#> 223 1.445166e-09 1.338993e-09 1.009879e-09 9.015932e-10 9.187449e-10
#> 226 5.039109e-10 4.663721e-10 3.522531e-10 3.148025e-10 3.210976e-10
#> 229 1.645270e-10 1.528099e-10 1.148114e-10 1.028128e-10 1.034128e-10
#> 232 7.055436e-11 6.535092e-11 4.907812e-11 4.377975e-11 4.487371e-11
#> 235 2.269804e-11 2.126792e-11 1.604435e-11 1.408200e-11 1.426738e-11
#> 238 6.939509e-12 6.417585e-12 4.806365e-12 4.409857e-12 4.286331e-12
#> year
#> length 11 12 13 14 15
#> 1 2.276939e-54 1.638240e-54 2.001382e-54 2.542891e-54 2.122854e-54
#> 4 2.753938e-14 1.981437e-14 2.420654e-14 3.075604e-14 2.567574e-14
#> 7 2.015019e+00 1.449791e+00 1.771160e+00 2.250378e+00 1.878659e+00
#> 10 8.411735e+05 6.052180e+05 7.393742e+05 9.394246e+05 7.842498e+05
#> 13 1.006748e+08 7.243473e+07 8.849105e+07 1.124338e+08 9.386193e+07
#> 16 2.310847e+08 1.662813e+08 2.031172e+08 2.580774e+08 2.154643e+08
#> 19 4.419287e+07 3.401630e+07 3.864933e+07 4.953147e+07 4.340938e+07
#> 22 3.599827e+07 5.077454e+07 2.946249e+07 4.218517e+07 5.829327e+07
#> 25 7.311820e+07 1.049564e+08 6.016412e+07 8.590629e+07 1.202064e+08
#> 28 4.599712e+07 6.886185e+07 4.308350e+07 5.513906e+07 7.831129e+07
#> 31 1.872173e+07 3.760751e+07 3.544890e+07 2.628036e+07 4.097152e+07
#> 34 1.452568e+07 3.626890e+07 4.246150e+07 2.429455e+07 3.857009e+07
#> 37 1.232064e+07 2.743475e+07 3.575331e+07 2.307578e+07 2.980847e+07
#> 40 9.938706e+06 1.587052e+07 2.555117e+07 2.187337e+07 1.895768e+07
#> 43 8.205944e+06 9.894905e+06 1.907696e+07 2.071507e+07 1.459307e+07
#> 46 6.020690e+06 7.099557e+06 1.334775e+07 1.723592e+07 1.383394e+07
#> 49 3.936592e+06 5.220998e+06 8.453678e+06 1.283296e+07 1.337842e+07
#> 52 2.620221e+06 3.727956e+06 5.357025e+06 8.955376e+06 1.190861e+07
#> 55 1.995230e+06 2.544341e+06 3.610062e+06 5.915919e+06 9.509334e+06
#> 58 1.770952e+06 1.715896e+06 2.503618e+06 3.764104e+06 6.899407e+06
#> 61 1.713515e+06 1.232835e+06 1.708917e+06 2.385073e+06 4.648439e+06
#> 64 1.666594e+06 9.912560e+05 1.142603e+06 1.528413e+06 2.971363e+06
#> 67 1.555082e+06 8.665862e+05 7.705610e+05 9.786512e+05 1.839701e+06
#> 70 1.373235e+06 7.700712e+05 5.419200e+05 6.165293e+05 1.120227e+06
#> 73 1.151536e+06 6.617516e+05 3.998261e+05 3.820626e+05 6.741730e+05
#> 76 9.255313e+05 5.386001e+05 3.021336e+05 2.361617e+05 4.001418e+05
#> 79 7.203473e+05 4.147516e+05 2.268448e+05 1.480195e+05 2.340265e+05
#> 82 5.483095e+05 3.052737e+05 1.660867e+05 9.484480e+04 1.356120e+05
#> 85 4.120651e+05 2.184050e+05 1.181140e+05 6.201083e+04 7.868805e+04
#> 88 3.084020e+05 1.549761e+05 8.221723e+04 4.116496e+04 4.622420e+04
#> 91 2.313141e+05 1.111818e+05 5.688498e+04 2.774263e+04 2.770131e+04
#> 94 1.742192e+05 8.163577e+04 3.983309e+04 1.911256e+04 1.700862e+04
#> 97 1.313698e+05 6.138884e+04 2.861279e+04 1.358057e+04 1.073499e+04
#> 100 9.848988e+04 4.679975e+04 2.112929e+04 9.977514e+03 6.985460e+03
#> 103 7.278624e+04 3.561613e+04 1.587870e+04 7.512853e+03 4.686902e+03
#> 106 5.259373e+04 2.666035e+04 1.194138e+04 5.699506e+03 3.222925e+03
#> 109 3.691878e+04 1.941135e+04 8.839855e+03 4.277162e+03 2.243880e+03
#> 112 2.506559e+04 1.365049e+04 6.362638e+03 3.129422e+03 1.558488e+03
#> 115 1.641796e+04 9.236589e+03 4.419158e+03 2.211707e+03 1.065428e+03
#> 118 1.036336e+04 6.005049e+03 2.950515e+03 1.502518e+03 7.098183e+02
#> 121 6.303928e+03 3.751261e+03 1.891316e+03 9.793439e+02 4.580156e+02
#> 124 3.697910e+03 2.253721e+03 1.164322e+03 6.124754e+02 2.853228e+02
#> 127 2.094326e+03 1.304124e+03 6.892128e+02 3.679328e+02 1.714112e+02
#> 130 1.146853e+03 7.280970e+02 3.929579e+02 2.126755e+02 9.933264e+01
#> 133 6.082023e+02 3.929379e+02 2.162193e+02 1.185226e+02 5.558334e+01
#> 136 3.128938e+02 2.053771e+02 1.150478e+02 6.381613e+01 3.007736e+01
#> 139 1.564198e+02 1.041584e+02 5.931664e+01 3.326721e+01 1.576580e+01
#> 142 7.611298e+01 5.135097e+01 2.969228e+01 1.682465e+01 8.019539e+00
#> 145 3.610793e+01 2.465362e+01 1.445770e+01 8.271215e+00 3.965686e+00
#> 148 1.672632e+01 1.154570e+01 6.859969e+00 3.959970e+00 1.909777e+00
#> 151 7.577012e+00 5.282735e+00 3.177222e+00 1.849581e+00 8.971653e-01
#> 154 3.361305e+00 2.365096e+00 1.438689e+00 8.441635e-01 4.117967e-01
#> 157 1.462211e+00 1.037539e+00 6.378651e-01 3.770680e-01 1.849569e-01
#> 160 6.245262e-01 4.465844e-01 2.772946e-01 1.650736e-01 8.140558e-02
#> 163 2.622075e-01 1.888375e-01 1.183514e-01 7.092255e-02 3.515722e-02
#> 166 1.083372e-01 7.853572e-02 4.965433e-02 2.994234e-02 1.491751e-02
#> 169 4.409641e-02 3.216011e-02 2.050173e-02 1.243632e-02 6.226010e-03
#> 172 1.769905e-02 1.298035e-02 8.339493e-03 5.087205e-03 2.558780e-03
#> 175 7.011640e-03 5.168841e-03 3.345340e-03 2.051605e-03 1.036604e-03
#> 178 2.744034e-03 2.032502e-03 1.324647e-03 8.164920e-04 4.143517e-04
#> 181 1.061730e-03 7.898941e-04 5.182054e-04 3.209549e-04 1.635661e-04
#> 184 4.064679e-04 3.036354e-04 2.004486e-04 1.247197e-04 6.381950e-05
#> 187 1.540776e-04 1.155332e-04 7.672540e-05 4.794766e-05 2.463167e-05
#> 190 5.786923e-05 4.354481e-05 2.908204e-05 1.824993e-05 9.411044e-06
#> 193 2.154897e-05 1.626774e-05 1.092332e-05 6.882038e-06 3.561946e-06
#> 196 7.960507e-06 6.027681e-06 4.068248e-06 2.572873e-06 1.336380e-06
#> 199 2.918952e-06 2.216438e-06 1.503284e-06 9.541750e-07 4.973102e-07
#> 202 1.062982e-06 8.092529e-07 5.514431e-07 3.512327e-07 1.836686e-07
#> 205 3.846021e-07 2.935199e-07 2.009151e-07 1.283964e-07 6.735703e-08
#> 208 1.383471e-07 1.058200e-07 7.274360e-08 4.663563e-08 2.454149e-08
#> 211 4.950382e-08 3.794075e-08 2.618612e-08 1.683867e-08 8.888080e-09
#> 214 1.762587e-08 1.353294e-08 9.377181e-09 6.047730e-09 3.201171e-09
#> 217 6.237304e-09 4.798998e-09 3.338372e-09 2.158951e-09 1.146183e-09
#> 220 2.206410e-09 1.700051e-09 1.186559e-09 7.690519e-10 4.092024e-10
#> 223 7.739116e-10 5.996859e-10 4.202786e-10 2.732433e-10 1.456787e-10
#> 226 2.693299e-10 2.084220e-10 1.461074e-10 9.550163e-11 5.116320e-11
#> 229 8.587823e-11 6.716906e-11 4.869704e-11 3.226022e-11 1.763521e-11
#> 232 3.895702e-11 2.966896e-11 2.032629e-11 1.268044e-11 6.603036e-12
#> 235 1.193214e-11 9.746177e-12 6.829847e-12 4.484753e-12 2.277731e-12
#> 238 3.293846e-12 2.572535e-12 2.101580e-12 1.515754e-12 9.252442e-13
#> year
#> length 16 17 18 19 20
#> 1 1.859835e-54 2.384426e-54 1.800020e-54 1.322599e-54 3.430928e-54
#> 4 2.249455e-14 2.883943e-14 2.177108e-14 1.599672e-14 4.149677e-14
#> 7 1.645896e+00 2.110142e+00 1.592961e+00 1.170459e+00 3.036262e+00
#> 10 6.870823e+05 8.808828e+05 6.649845e+05 4.886102e+05 1.267494e+06
#> 13 8.223255e+07 1.054273e+08 7.958782e+07 5.847868e+07 1.516983e+08
#> 16 1.887635e+08 2.419932e+08 1.826938e+08 1.342431e+08 3.481800e+08
#> 19 3.739938e+07 4.623938e+07 3.635434e+07 2.738134e+07 6.379313e+07
#> 22 4.400135e+07 3.726169e+07 4.434849e+07 4.008926e+07 2.291154e+07
#> 25 9.087124e+07 7.612709e+07 9.135149e+07 8.311752e+07 4.498516e+07
#> 28 6.368946e+07 5.325315e+07 6.050028e+07 5.769752e+07 3.324208e+07
#> 31 4.814615e+07 4.005118e+07 3.504527e+07 4.195146e+07 3.049780e+07
#> 34 5.516941e+07 4.664211e+07 3.631941e+07 4.771021e+07 3.817313e+07
#> 37 4.385521e+07 4.009781e+07 3.220317e+07 3.933734e+07 3.337692e+07
#> 40 2.756326e+07 3.023247e+07 2.653573e+07 2.741525e+07 2.583062e+07
#> 43 1.839459e+07 2.385822e+07 2.277620e+07 2.102006e+07 2.119672e+07
#> 46 1.280869e+07 1.747267e+07 1.793901e+07 1.664009e+07 1.656244e+07
#> 49 8.999692e+06 1.153840e+07 1.288531e+07 1.283154e+07 1.223345e+07
#> 52 6.922249e+06 7.444019e+06 8.937286e+06 9.729917e+06 9.158027e+06
#> 55 5.783953e+06 5.000233e+06 6.080386e+06 7.184850e+06 7.044827e+06
#> 58 4.789789e+06 3.596802e+06 4.072035e+06 5.114357e+06 5.422606e+06
#> 61 3.704905e+06 2.763764e+06 2.753538e+06 3.520261e+06 4.078918e+06
#> 64 2.647999e+06 2.181924e+06 1.941352e+06 2.368305e+06 2.958956e+06
#> 67 1.772249e+06 1.688992e+06 1.437457e+06 1.583927e+06 2.059841e+06
#> 70 1.133013e+06 1.247909e+06 1.088779e+06 1.072941e+06 1.378943e+06
#> 73 7.039744e+05 8.747252e+05 8.131683e+05 7.428535e+05 8.954536e+05
#> 76 4.296961e+05 5.848337e+05 5.843630e+05 5.219710e+05 5.719380e+05
#> 79 2.588037e+05 3.763295e+05 4.008286e+05 3.659674e+05 3.647207e+05
#> 82 1.539965e+05 2.349717e+05 2.631166e+05 2.519896e+05 2.344993e+05
#> 85 9.066944e+04 1.431665e+05 1.664128e+05 1.688099e+05 1.520927e+05
#> 88 5.301490e+04 8.542747e+04 1.020796e+05 1.096541e+05 9.876112e+04
#> 91 3.094009e+04 5.005291e+04 6.100825e+04 6.906038e+04 6.352906e+04
#> 94 1.810697e+04 2.887175e+04 3.561396e+04 4.221107e+04 4.010768e+04
#> 97 1.065557e+04 1.644124e+04 2.033341e+04 2.506253e+04 2.469635e+04
#> 100 6.310434e+03 9.266624e+03 1.136687e+04 1.446648e+04 1.478184e+04
#> 103 3.759399e+03 5.178793e+03 6.230669e+03 8.124847e+03 8.589494e+03
#> 106 2.250897e+03 2.872336e+03 3.354874e+03 4.445227e+03 4.846054e+03
#> 109 1.352520e+03 1.581070e+03 1.777866e+03 2.372840e+03 2.656931e+03
#> 112 8.136298e+02 8.632625e+02 9.288333e+02 1.237970e+03 1.417536e+03
#> 115 4.882004e+02 4.671483e+02 4.789782e+02 6.324087e+02 7.371194e+02
#> 118 2.908081e+02 2.503101e+02 2.439513e+02 3.168306e+02 3.742008e+02
#> 121 1.711008e+02 1.326696e+02 1.227271e+02 1.558641e+02 1.857451e+02
#> 124 9.897033e+01 6.947957e+01 6.096822e+01 7.535883e+01 9.027998e+01
#> 127 5.606946e+01 3.591128e+01 2.989367e+01 3.582751e+01 4.301842e+01
#> 130 3.102780e+01 1.829708e+01 1.445877e+01 1.675348e+01 2.011601e+01
#> 133 1.674440e+01 9.179687e+00 6.895188e+00 7.706272e+00 9.238574e+00
#> 136 8.805543e+00 4.530553e+00 3.240848e+00 3.487059e+00 4.169917e+00
#> 139 4.512109e+00 2.197993e+00 1.500938e+00 1.552342e+00 1.850740e+00
#> 142 2.253828e+00 1.047694e+00 6.848749e-01 6.799881e-01 8.081031e-01
#> 145 1.098260e+00 4.905312e-01 3.079013e-01 2.931683e-01 3.472863e-01
#> 148 5.225773e-01 2.255876e-01 1.364014e-01 1.244503e-01 1.469619e-01
#> 151 2.430687e-01 1.019206e-01 5.955639e-02 5.204035e-02 6.126646e-02
#> 154 1.106472e-01 4.525450e-02 2.563714e-02 2.144791e-02 2.517437e-02
#> 157 4.935073e-02 1.975723e-02 1.088426e-02 8.717472e-03 1.020098e-02
#> 160 2.159205e-02 8.486122e-03 4.559267e-03 3.496504e-03 4.078631e-03
#> 163 9.277593e-03 3.588352e-03 1.885184e-03 1.384849e-03 1.610005e-03
#> 166 3.919181e-03 1.494811e-03 7.698104e-04 5.419843e-04 6.278242e-04
#> 169 1.629414e-03 6.138982e-04 3.106014e-04 2.097379e-04 2.419963e-04
#> 172 6.673906e-04 2.487385e-04 1.238903e-04 8.030813e-05 9.225758e-05
#> 175 2.695601e-04 9.950438e-05 4.887792e-05 3.044470e-05 3.480793e-05
#> 178 1.074610e-04 3.932841e-05 1.908356e-05 1.143421e-05 1.300458e-05
#> 181 4.231911e-05 1.536875e-05 7.377420e-06 4.256946e-06 4.814001e-06
#> 184 1.647641e-05 5.942015e-06 2.825331e-06 1.571925e-06 1.766635e-06
#> 187 6.346877e-06 2.274465e-06 1.072483e-06 5.760598e-07 6.431019e-07
#> 190 2.420694e-06 8.624697e-07 4.037070e-07 2.096158e-07 2.323311e-07
#> 193 9.147281e-07 3.241790e-07 1.507615e-07 7.575108e-08 8.333175e-08
#> 196 3.426928e-07 1.208600e-07 5.589598e-08 2.722961e-08 2.970888e-08
#> 199 1.273548e-07 4.471037e-08 2.057377e-08 9.720051e-09 1.051704e-08
#> 202 4.697790e-08 1.642373e-08 7.525156e-09 3.454565e-09 3.705823e-09
#> 205 1.720756e-08 5.990423e-09 2.733730e-09 1.219166e-09 1.293614e-09
#> 208 6.263164e-09 2.172527e-09 9.883149e-10 4.293647e-10 4.514427e-10
#> 211 2.266628e-09 7.844731e-10 3.563547e-10 1.513026e-10 1.583935e-10
#> 214 8.153546e-10 2.809166e-10 1.271226e-10 5.265104e-11 5.416349e-11
#> 217 2.919075e-10 1.004487e-10 4.555647e-11 1.858479e-11 1.876730e-11
#> 220 1.040594e-10 3.560380e-11 1.599626e-11 6.298208e-12 6.378739e-12
#> 223 3.699617e-11 1.257933e-11 5.592896e-12 2.070889e-12 2.087518e-12
#> 226 1.297378e-11 4.400139e-12 1.985455e-12 7.468690e-13 7.469040e-13
#> 229 4.466783e-12 1.484461e-12 6.521744e-13 2.017751e-13 1.752120e-13
#> 232 1.705316e-12 5.853874e-13 2.497760e-13 1.062860e-13 1.176411e-13
#> 235 5.661984e-13 2.029586e-13 8.459930e-14 2.135280e-14 2.246049e-14
#> 238 2.327244e-13 7.045089e-14 3.331425e-14 7.540493e-15 1.807133e-15
#>
#> $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: 0x5604e71906d0>
#>