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] 24 19 22 21 24 21 22 22 21 23 24 21 23 22 23 20 23 23
#> [19] 21 21 23 22 21 22 23 22 20 22 23 21 22 24 23 24 24 23
#> [37] 22 22 22 23 21 23 21 22 24 23 23 23 23 23 23 22 20 25
#> [55] 23 22 22 22 22 21 22 22 22 21 23 24 23 23 21 24 21 24
#> [73] 22 23 24 22 20 22 23 23 21 23 21 21 22 22 22 21 23 23
#> [91] 22 21 23 22 22 23 23 23 23 22 37 35 36 37 35 37 38 38
#> [109] 33 38 39 36 36 36 37 35 35 38 37 34 37 43 37 36 32 32
#> [127] 35 38 37 40 37 39 36 39 36 40 33 35 34 33 41 35 35 36
#> [145] 39 37 34 35 36 38 36 37 38 37 36 37 34 35 34 38 39 34
#> [163] 37 39 34 35 35 36 34 37 37 40 38 37 35 36 37 36 36 38
#> [181] 35 38 36 35 39 37 36 36 37 36 36 36 35 35 36 37 33 39
#> [199] 33 33 48 46 49 46 47 50 49 42 50 49 48 48 49 48 47 49
#> [217] 52 47 49 46 46 44 51 49 48 50 47 49 51 51 52 44 46 48
#> [235] 46 48 47 51 49 48 50 50 48 52 47 47 48 48 46 49 47 49
#> [253] 49 50 45 48 50 50 49 51 45 45 47 45 45 46 50 48 47 46
#> [271] 48 49 47 52 47 49 48 47 46 50 47 49 49 48 46 45 46 51
#> [289] 47 46 47 50 51 48 48 46 50 46 46 46 61 60 59 58 59 60
#> [307] 56 61 59 60 56 62 59 60 58 58 60 61 58 58 55 55 58 58
#> [325] 62 57 54 52 57 66 61 61 55 62 58 57 57 60 54 56 60 55
#> [343] 59 58 62 58 60 61 57 53 58 57 58 62 56 55 65 59 56 63
#> [361] 56 54 56 58 56 53 57 54 58 58 56 59 59 56 57 58 62 63
#> [379] 55 56 55 60 58 59 56 55 58 59 54 61 58 59 56 59 54 54
#> [397] 57 59 56 58 70 64 65 58 68 61 66 69 60 66 66 67 70 65
#> [415] 66 66 73 60 72 68 67 69 63 66 63 71 66 68 65 63 69 66
#> [433] 67 69 70 69 64 59 62 62 70 69 63 64 63 60 64 67 63 66
#> [451] 64 61 65 70 61 68 61 62 68 62 65 63 63 68 62 64 59 70
#> [469] 59 67 68 67 63 62 66 64 61 62 73 66 65 61 64 65 60 63
#> [487] 64 70 64 67 63 65 65 71 63 66 66 63 68 68 72 69 74 64
#> [505] 70 73 68 68 73 72 70 72 74 79 75 72 68 73 70 66 72 70
#> [523] 73 72 67 77 74 73 72 75 68 74 81 66 73 71 70 74 75 70
#> [541] 77 76 72 63 78 75 72 69 70 67 69 66 75 75 71 70 72 65
#> [559] 77 71 73 74 74 68 74 75 72 70 80 67 71 76 69 75 66 68
#> [577] 70 70 75 69 72 72 65 70 70 70 71 67 70 70 78 75 68 68
#> [595] 70 71 73 77 75 70 71 75 72 74 77 78 78 76 74 77 77 74
#> [613] 76 73 76 79 73 79 76 83 80 66 74 73 81 78 76 77 82 74
#> [631] 77 73 83 74 76 80 79 82 73 75 75 78 79 70 72 80 85 75
#> [649] 72 83 78 78 80 77 74 76 79 79 75 75 76 80 79 78 69 77
#> [667] 76 77 74 76 77 81 73 79 84 73 70 77 72 81 80 76 81 73
#> [685] 81 72 72 77 69 76 84 77 75 74 83 73 76 81 74 83 83 79
#> [703] 85 77 84 87 83 83 85 75 76 80 84 87 78 86 84 89 81 85
#> [721] 87 83 88 84 81 77 79 83 82 77 83 85 85 75 78 78 85 85
#> [739] 84 83 80 82 85 81 79 80 80 75 81 78 87 88 76 76 78 81
#> [757] 80 85 79 77 87 87 76 84 78 86 91 76 77 88 79 88 79 82
#> [775] 87 78 84 81 84 82 84 75 84 83 77 88 81 81 83 79 83 90
#> [793] 83 84 86 78 90 80 78 79 78 84 86 86 86 82 83 85 81 88
#> [811] 83 86 82 84 90 85 83 86 87 83 78 89 89 83 79 87 91 84
#> [829] 84 85 79 84 85 77 83 85 74 90 89 88 83 76 78 89 84 90
#> [847] 81 87 81 78 80 85 79 91 85 81 89 80 86 83 86 77 85 85
#> [865] 84 82 83 86 84 87 87 85 83 87 75 91 91 79 87 84 85 74
#> [883] 82 80 81 76 88 83 83 85 82 84 85 84 85 82 80 91 85 84
#> [901] 88 86 90 89 80 88 91 82 84 88 86 96 77 87 85 81 88 95
#> [919] 92 91 88 90 85 87 88 82 86 84 88 84 94 93 85 89 85 89
#> [937] 88 95 80 93 85 86 105 89 82 85 83 86 89 88 85 79 83 90
#> [955] 89 98 90 88 82 88 94 91 97 95 86 76 88 86 85 95 92 86
#> [973] 88 85 99 87 84 90 87 86 79 81 84 87 89 90 89 86 80 89
#> [991] 88 98 85 87 83 86 89 82 88 91 91 96 93 96 82 91 89 93
#> [1009] 87 87 89 84 92 89 89 91 93 95 91 91 80 88 85 87 87 93
#> [1027] 87 89 94 85 92 90 92 94 88 96 83 91 89 87 90 101 95 99
#> [1045] 85 85 87 88 89 89 93 94 89 88 81 90 87 87 96 83 91 92
#> [1063] 90 81 91 86 84 91 92 92 91 95 81 96 87 87 85 88 90 90
#> [1081] 91 90 85 86 94 96 81 97 92 91 84 94 84 84 90 88 95 82
#> [1099] 89 87 86 92 97 96 95 80 88 86 100 102 83 91 87 92 96 88
#> [1117] 89 92 96 88 96 90 91 88 91 95 92 90 91 95 96 83 94 88
#> [1135] 89 92 91 85 90 94 93 96 98 94 89 91 88 93 90 96 92 86
#> [1153] 89 91 97 91 92 96 89 96 87 92 87 94 92 89 93 90 88 98
#> [1171] 93 85 97 84 92 91 94 96 93 95 88 90 87 98 95 94 93 92
#> [1189] 89 96 97 87 97 92 93 92 91 99 96 85 106 94 97 90 89 94
#> [1207] 91 86 92 89 93 98 98 86 87 90 94 91 85 91 89 87 101 88
#> [1225] 87 88 92 90 91 103 90 97 98 91 95 94 91 91 94 94 102 85
#> [1243] 93 94 94 92 91 98 88 91 96 96 92 104 89 89 97 102 89 85
#> [1261] 93 88 91 91 98 101 93 88 88 97 86 88 87 91 90 99 88 94
#> [1279] 95 90 92 87 91 96 90 84 95 95 90 93 92 95 105 88 96 101
#> [1297] 91 89 94 104 97 93 100 100 98 88 88 93 88 98 93 92 98 91
#> [1315] 94 97 102 100 94 90 89 99 94 92 85 84 94 88 92 96 95 92
#> [1333] 100 94 91 103 94 99 86 92 103 103 93 92 91 98 91 88 91 98
#> [1351] 92 92 92 99 94 84 102 91 100 93 107 98 95 97 94 96 91 92
#> [1369] 93 101 100 99 89 95 93 86 85 90 100 98 100 90 88 93 94 97
#> [1387] 98 101 91 95 92 90 106 92 94 92 100 89 91 95 93 96 96 93
#> [1405] 88 99 92 97 94 91 91 99 94 90 97 88 100 94 94 104 97 92
#> [1423] 100 94 103 97 95 96 92 92 98 99 92 95 98 98 90 97 100 91
#> [1441] 95 93 92 89 97 96 94 93 91 91 89 101 96 93 98 92 102 90
#> [1459] 99 94 96 100 86 107 100 102 98 97 85 101 93 92 97 96 97 87
#> [1477] 90 94 102 92 97 94 95 88 96 102 99 98 96 100 94 96 95 93
#> [1495] 94 102 105 102 90 96
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
#> 29051010 21047758 15444770 6762129 10186274 21043807 36131329 16636355
#> 9 10 11 12 13 14 15 16
#> 13820884 18109167 15049933 9112951 6696883 9336805 9564727 12181392
#> 17 18 19 20
#> 37491604 40487826 62053132 33766575
#>
#> $N0
#> [1] 2.905101e+07 1.348816e+07 6.655166e+06 2.350039e+06 6.764280e+05
#> [6] 1.446101e+05 4.406593e+04 1.362608e+04 6.131931e+03 3.265336e+03
#> [11] 1.739015e+03 9.742709e+02 4.867305e+02 1.890886e+02 6.836983e+01
#> [16] 3.035442e+01 1.228223e+01 6.572450e+00 3.217107e+00 1.157870e+00
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.7672408 0.3703046 0.9018099 0.8750285 1.4790564 1.4866754 0.7313673
#> 2 0.7064190 0.4068142 0.7755069 1.0197825 1.5320578 1.9242194 1.0473696
#> 3 1.0409614 0.4911207 0.7638118 0.7100774 1.1877889 1.5723541 1.1804705
#> 4 1.2453612 0.5804289 1.0719144 0.7754877 1.1163824 1.3978247 1.2458505
#> 5 1.5427850 0.5916181 0.7463624 0.5246680 1.0256193 1.2709083 1.3478229
#> 6 1.1883542 0.6385089 0.7421162 0.5904931 1.1772692 1.4584213 1.1473927
#> 7 1.1737011 0.7355338 0.8196823 0.4842869 1.1345167 1.3364479 1.5088385
#> 8 0.7984761 0.5570153 0.5055976 0.4797756 0.8849856 1.2803432 1.6366074
#> 9 0.6301469 0.4799344 0.4423801 0.3494855 0.9011225 1.4008341 1.3913146
#> 10 0.6300437 0.3989728 0.2303780 0.2028834 0.5354515 0.9017012 0.8593438
#> 11 0.5793850 0.5883147 0.2468116 0.1914957 0.4815909 1.3148776 0.7946129
#> 12 0.6939787 0.6339583 0.2208409 0.2924002 0.6603806 1.0302041 0.4324619
#> 13 0.9454952 0.6515924 0.2477424 0.3006919 0.7419395 1.1027816 0.4743711
#> 14 1.0172838 0.4972756 0.3930266 0.3437476 0.8627354 1.5415686 0.4729593
#> 15 0.8119897 0.4579584 0.3211269 0.3034287 0.8463433 1.0085263 0.5130112
#> 16 0.9047882 0.5095222 0.3886354 0.3377538 0.7904559 1.2445786 0.6362653
#> 17 0.6252671 0.3568375 0.2868921 0.3317729 0.5442885 1.0782143 0.6802888
#> 18 0.7144042 0.3437146 0.2211690 0.2920022 0.4272219 0.9009983 0.5257971
#> 19 1.0219004 0.3833208 0.3162539 0.5407206 0.5887377 0.9962102 0.5948646
#> 20 1.2319046 0.4333356 0.2618105 0.5138557 0.5066070 0.8879165 0.5371437
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.8976473 0.5950147 0.5634558 0.4092865 0.4909221 0.5761090 0.3624538
#> 2 1.0500103 0.4635968 0.5312492 0.4141078 0.3995518 0.5112206 0.3876440
#> 3 1.3278550 0.6643435 0.5031624 0.3787200 0.3393301 0.5422060 0.5240150
#> 4 1.1419673 0.6867865 0.6122668 0.4510433 0.4971207 0.7630271 0.7498449
#> 5 1.2528464 0.6150239 0.5607398 0.5224953 0.5292971 1.1121054 0.6237771
#> 6 1.0521176 0.6133108 0.5588245 0.5558506 0.6044870 0.7631422 0.5069457
#> 7 1.2590725 0.6640455 0.4484400 0.5035027 0.5280914 0.9682925 0.4420930
#> 8 1.4753464 0.7115469 0.4771100 0.7097044 0.4864394 0.6026094 0.4008842
#> 9 1.5398448 0.6934191 0.4444773 0.7142462 0.4245207 0.7000811 0.4370057
#> 10 1.1944964 0.7982784 0.4663505 1.0529709 0.6070514 0.6928897 0.3814864
#> 11 1.0055253 0.5949432 0.5427248 0.8085331 0.3381226 0.4774219 0.3215922
#> 12 0.6971345 0.5327820 0.5698472 0.6719027 0.2778675 0.4450696 0.2385317
#> 13 0.7801836 0.5100232 0.5951834 0.8709374 0.3010995 0.3222398 0.2109691
#> 14 0.6645938 0.4836712 0.5762765 0.9785899 0.3550539 0.3186998 0.1615433
#> 15 0.7023365 0.4655674 0.6416787 1.0904109 0.4419277 0.3862040 0.1963395
#> 16 0.7178874 0.4376948 0.4504785 0.8306315 0.4144264 0.3625429 0.1709950
#> 17 0.8207712 0.5627609 0.4376629 0.7199747 0.3112675 0.3281761 0.1860313
#> 18 0.6007045 0.4371027 0.2565608 0.5707669 0.3679806 0.3785184 0.2164559
#> 19 0.5215116 0.4176599 0.2879693 0.5246776 0.3465380 0.3987901 0.2789566
#> 20 0.6392419 0.4307428 0.2140977 0.4503170 0.3180965 0.3613875 0.2619037
#> year
#> age 15 16 17 18 19 20
#> 1 0.3138794 0.7062626 0.3408497 0.4592891 0.6764942 0.6991575
#> 2 0.4738155 0.5152286 0.4110151 0.5245040 0.8365478 0.7219112
#> 3 0.5584277 0.3572208 0.3807922 0.4585011 1.0556622 0.8700682
#> 4 0.7139774 0.4465411 0.4936463 0.5876594 1.0870115 0.8503244
#> 5 0.4978754 0.3914374 0.4674528 0.4413931 1.2161488 0.8869717
#> 6 0.4035868 0.3105329 0.3832618 0.4104301 1.3312839 0.8750023
#> 7 0.4292546 0.3825378 0.3800058 0.5489584 1.5143083 0.9965933
#> 8 0.3448188 0.2593130 0.3075668 0.4446576 1.8529299 0.9863050
#> 9 0.3769657 0.2299290 0.2251431 0.4159038 1.1921985 0.7023338
#> 10 0.4725650 0.2323194 0.2798339 0.3873255 1.0563565 0.5906208
#> 11 0.4360339 0.2926951 0.3082363 0.3605424 0.8188217 0.5870905
#> 12 0.3686035 0.2451953 0.3524564 0.3815198 0.8273083 0.7100467
#> 13 0.3730836 0.2448721 0.3029619 0.3495722 0.6522468 0.6080990
#> 14 0.3108789 0.2639219 0.2861530 0.3722694 0.5729038 0.6089592
#> 15 0.3840578 0.3773935 0.4881312 0.6125919 0.9284064 0.7579061
#> 16 0.3217775 0.3874702 0.4738400 0.5380460 0.9300707 1.0310411
#> 17 0.3561032 0.3421911 0.5129680 0.5452533 1.1260883 0.9263377
#> 18 0.3595220 0.4794252 0.5618054 0.6696561 1.0924158 1.0169228
#> 19 0.3603911 0.3843539 0.6888654 0.5714114 0.6797740 0.8299365
#> 20 0.3225255 0.3327733 0.6057743 0.5184759 0.6626886 0.7180752
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 2.905101e+07 2.104776e+07 1.544477e+07 6.762129e+06 1.018627e+07
#> 2 1.348816e+07 1.348816e+07 1.453398e+07 6.268020e+06 2.818794e+06
#> 3 6.655166e+06 6.655166e+06 8.979985e+06 6.692467e+06 2.260708e+06
#> 4 2.350039e+06 2.350039e+06 4.072564e+06 4.183660e+06 3.290058e+06
#> 5 6.764280e+05 6.764280e+05 1.315219e+06 1.394252e+06 1.926488e+06
#> 6 1.446101e+05 1.446101e+05 3.743563e+05 6.235294e+05 8.250513e+05
#> 7 4.406593e+04 4.406593e+04 7.636559e+04 1.782330e+05 3.454690e+05
#> 8 1.362608e+04 1.362608e+04 2.111858e+04 3.364451e+04 1.098158e+05
#> 9 6.131931e+03 6.131931e+03 7.806608e+03 1.273756e+04 2.082333e+04
#> 10 3.265336e+03 3.265336e+03 3.794586e+03 5.015787e+03 8.980629e+03
#> 11 1.739015e+03 1.739015e+03 2.191070e+03 3.013787e+03 4.094756e+03
#> 12 9.742709e+02 9.742709e+02 9.656097e+02 1.711856e+03 2.488553e+03
#> 13 4.867305e+02 4.867305e+02 5.168388e+02 7.742685e+02 1.277849e+03
#> 14 1.890886e+02 1.890886e+02 2.536913e+02 4.034242e+02 5.731955e+02
#> 15 6.836983e+01 6.836983e+01 1.150009e+02 1.712444e+02 2.860713e+02
#> 16 3.035442e+01 3.035442e+01 4.324896e+01 8.341374e+01 1.264267e+02
#> 17 1.228223e+01 1.228223e+01 1.823640e+01 2.932199e+01 5.950493e+01
#> 18 6.572450e+00 6.572450e+00 8.596166e+00 1.368811e+01 2.104294e+01
#> 19 3.217107e+00 3.217107e+00 4.660730e+00 6.890525e+00 1.022183e+01
#> 20 1.157870e+00 1.157870e+00 2.192762e+00 3.397087e+00 4.012549e+00
#> year
#> age 6 7 8 9 10
#> 1 2.104381e+07 3.613133e+07 1.663636e+07 1.382088e+07 1.810917e+07
#> 2 2.320969e+06 4.758492e+06 1.738822e+07 6.779769e+06 7.622970e+06
#> 3 6.091148e+05 3.388375e+05 1.669562e+06 6.084732e+06 4.264591e+06
#> 4 6.892778e+05 1.264254e+05 1.040686e+05 4.425093e+05 3.131272e+06
#> 5 1.077370e+06 1.703440e+05 3.637210e+04 3.321770e+04 2.226665e+05
#> 6 6.907892e+05 3.022848e+05 4.425626e+04 1.039116e+04 1.795842e+04
#> 7 2.542140e+05 1.606798e+05 9.596437e+04 1.545418e+04 5.627385e+03
#> 8 1.110951e+05 6.680169e+04 3.553702e+04 2.724594e+04 7.955263e+03
#> 9 4.532321e+04 3.087797e+04 1.300223e+04 8.127298e+03 1.337460e+04
#> 10 8.456638e+03 1.116725e+04 7.680836e+03 2.787865e+03 4.062544e+03
#> 11 5.257304e+03 3.432368e+03 4.728657e+03 2.326191e+03 1.254827e+03
#> 12 2.529739e+03 1.411624e+03 1.550593e+03 1.729991e+03 1.283113e+03
#> 13 1.285723e+03 9.029501e+02 9.160163e+02 7.722114e+02 1.015452e+03
#> 14 6.084982e+02 4.267911e+02 5.618845e+02 4.198303e+02 4.636988e+02
#> 15 2.418920e+02 1.302460e+02 2.659572e+02 2.890797e+02 2.588320e+02
#> 16 1.227191e+02 8.823161e+01 7.797701e+01 1.317622e+02 1.814781e+02
#> 17 5.735196e+01 3.535073e+01 4.669794e+01 3.803575e+01 8.505551e+01
#> 18 3.452800e+01 1.951128e+01 1.790411e+01 2.055139e+01 2.166647e+01
#> 19 1.372670e+01 1.402403e+01 1.153281e+01 9.819063e+00 1.327425e+01
#> 20 5.673396e+00 5.068946e+00 7.736178e+00 6.846133e+00 6.466699e+00
#> year
#> age 11 12 13 14 15
#> 1 1.504993e+07 9.112951e+06 6.696883e+06 9.336805e+06 9.564727e+06
#> 2 1.030844e+07 9.995020e+06 5.577688e+06 3.764192e+06 6.498103e+06
#> 3 4.481317e+06 6.813151e+06 6.702866e+06 3.345291e+06 2.554583e+06
#> 4 2.578438e+06 3.068525e+06 4.852648e+06 3.897476e+06 1.980875e+06
#> 5 1.697527e+06 1.642371e+06 1.866521e+06 2.262561e+06 1.841323e+06
#> 6 1.270951e+05 1.006699e+06 9.673872e+05 6.138350e+05 1.212544e+06
#> 7 1.027008e+04 7.289971e+04 5.500149e+05 4.509952e+05 3.697327e+05
#> 8 3.593781e+03 6.207335e+03 4.299111e+04 2.088576e+05 2.898500e+05
#> 9 4.936831e+03 1.767384e+03 3.816341e+03 2.353254e+04 1.398777e+05
#> 10 8.575251e+03 2.416880e+03 1.156016e+03 1.894985e+03 1.520126e+04
#> 11 2.548383e+03 2.991902e+03 1.317092e+03 5.781570e+02 1.293983e+03
#> 12 7.292585e+02 1.135333e+03 2.133549e+03 8.170983e+02 4.191602e+02
#> 13 7.257437e+02 3.724585e+02 8.598978e+02 1.367135e+03 6.436967e+02
#> 14 5.599827e+02 3.037665e+02 2.756208e+02 6.230170e+02 1.107105e+03
#> 15 2.605927e+02 2.104643e+02 2.129816e+02 2.004022e+02 5.300814e+02
#> 16 1.362513e+02 8.757957e+01 1.352856e+02 1.447491e+02 1.646771e+02
#> 17 1.156602e+02 5.937475e+01 5.786550e+01 9.414586e+01 1.219982e+02
#> 18 5.490702e+01 5.629929e+01 4.349307e+01 4.167682e+01 7.816438e+01
#> 19 1.676352e+01 3.102751e+01 3.896646e+01 2.978733e+01 3.356518e+01
#> 20 9.952828e+00 9.919746e+00 2.194055e+01 2.615162e+01 2.253629e+01
#> year
#> age 16 17 18 19 20
#> 1 1.218139e+07 3.749160e+07 4.048783e+07 6.205313e+07 3.376657e+07
#> 2 6.988058e+06 6.011336e+06 2.666275e+07 2.557748e+07 3.154758e+07
#> 3 4.045863e+06 4.174414e+06 3.985377e+06 1.578032e+07 1.108025e+07
#> 4 1.461497e+06 2.830558e+06 2.852460e+06 2.519677e+06 5.490949e+06
#> 5 9.700199e+05 9.351208e+05 1.727763e+06 1.584902e+06 8.496925e+05
#> 6 1.119194e+06 6.558153e+05 5.859432e+05 1.111193e+06 4.697163e+05
#> 7 8.098822e+05 8.204322e+05 4.470263e+05 3.886941e+05 2.935083e+05
#> 8 2.406939e+05 5.524434e+05 5.610586e+05 2.581805e+05 8.549727e+04
#> 9 2.053149e+05 1.857149e+05 4.061750e+05 3.596631e+05 4.047680e+04
#> 10 9.594767e+04 1.631412e+05 1.482752e+05 2.679714e+05 1.091769e+05
#> 11 9.476483e+03 7.605704e+04 1.233199e+05 1.006596e+05 9.317914e+04
#> 12 8.366838e+02 7.071822e+03 5.588228e+04 8.599073e+04 4.438593e+04
#> 13 2.899330e+02 6.547483e+02 4.971203e+03 3.815770e+04 3.759726e+04
#> 14 4.432545e+02 2.269609e+02 4.836150e+02 3.504646e+03 1.987536e+04
#> 15 8.112891e+02 3.404343e+02 1.704811e+02 3.332922e+02 1.976220e+03
#> 16 3.610342e+02 5.562573e+02 2.089492e+02 9.239130e+01 1.317114e+02
#> 17 1.193678e+02 2.450599e+02 3.463296e+02 1.220029e+02 3.645075e+01
#> 18 8.544761e+01 8.477649e+01 1.467212e+02 2.007655e+02 3.956547e+01
#> 19 5.455951e+01 5.290396e+01 4.833775e+01 7.510434e+01 6.733780e+01
#> 20 2.340848e+01 3.714905e+01 2.656549e+01 2.729767e+01 3.805774e+01
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.765086e-55 1.278823e-55 9.383959e-56 4.108545e-56 6.188994e-56
#> 4 2.134856e-15 1.546726e-15 1.134982e-15 4.969250e-16 7.485534e-16
#> 7 1.562045e-01 1.131718e-01 8.304508e-02 3.635933e-02 5.477064e-02
#> 10 6.520789e+04 4.724379e+04 3.466733e+04 1.517827e+04 2.286411e+04
#> 13 7.804322e+06 5.654312e+06 4.149114e+06 1.816592e+06 2.736461e+06
#> 16 1.791381e+07 1.297930e+07 9.524850e+06 4.170217e+06 6.280910e+06
#> 19 3.437668e+06 2.560423e+06 1.965919e+06 8.589412e+05 1.169475e+06
#> 22 2.923483e+06 2.900140e+06 3.104085e+06 1.339267e+06 6.230478e+05
#> 25 5.965428e+06 5.965256e+06 6.437483e+06 2.791645e+06 1.251506e+06
#> 28 3.968607e+06 3.968606e+06 4.390719e+06 2.071914e+06 8.847399e+05
#> 31 2.349863e+06 2.349863e+06 2.951638e+06 1.927116e+06 7.014017e+05
#> 34 2.404144e+06 2.404144e+06 3.250889e+06 2.432266e+06 8.930292e+05
#> 37 1.914386e+06 1.914386e+06 2.700830e+06 2.162310e+06 9.823465e+05
#> 40 1.246609e+06 1.246609e+06 1.915836e+06 1.722674e+06 1.087999e+06
#> 43 8.635388e+05 8.635388e+05 1.447690e+06 1.430066e+06 1.134075e+06
#> 46 5.998215e+05 5.998215e+05 1.059429e+06 1.093906e+06 1.015818e+06
#> 49 3.868125e+05 3.868125e+05 7.139635e+05 7.657258e+05 8.299754e+05
#> 52 2.387496e+05 2.387496e+05 4.632033e+05 5.283653e+05 6.505760e+05
#> 55 1.440005e+05 1.440005e+05 2.939150e+05 3.672067e+05 4.900484e+05
#> 58 8.483687e+04 8.483687e+04 1.803263e+05 2.510897e+05 3.546638e+05
#> 61 4.937423e+04 4.937423e+04 1.066272e+05 1.652365e+05 2.481077e+05
#> 64 2.891388e+04 2.891388e+04 6.117221e+04 1.036411e+05 1.678778e+05
#> 67 1.722928e+04 1.722928e+04 3.443915e+04 6.202758e+04 1.094258e+05
#> 70 1.048981e+04 1.048981e+04 1.932326e+04 3.578313e+04 6.851840e+04
#> 73 6.541707e+03 6.541707e+03 1.099439e+04 2.023719e+04 4.128824e+04
#> 76 4.185029e+03 4.185029e+03 6.432643e+03 1.145151e+04 2.411830e+04
#> 79 2.740568e+03 2.740568e+03 3.893410e+03 6.608909e+03 1.382918e+04
#> 82 1.823875e+03 1.823875e+03 2.430221e+03 3.936790e+03 7.906633e+03
#> 85 1.220642e+03 1.220642e+03 1.549301e+03 2.422696e+03 4.574458e+03
#> 88 8.125468e+02 8.125468e+02 9.965827e+02 1.526802e+03 2.701781e+03
#> 91 5.330079e+02 5.330079e+02 6.395364e+02 9.723026e+02 1.628902e+03
#> 94 3.422095e+02 3.422095e+02 4.058520e+02 6.176504e+02 9.950050e+02
#> 97 2.141089e+02 2.141089e+02 2.531528e+02 3.874968e+02 6.092566e+02
#> 100 1.302410e+02 1.302410e+02 1.546144e+02 2.384998e+02 3.702109e+02
#> 103 7.696180e+01 7.696180e+01 9.225982e+01 1.434511e+02 2.215495e+02
#> 106 4.418989e+01 4.418989e+01 5.372644e+01 8.415082e+01 1.299325e+02
#> 109 2.467726e+01 2.467726e+01 3.052142e+01 4.811027e+01 7.446706e+01
#> 112 1.342067e+01 1.342067e+01 1.691592e+01 2.680744e+01 4.165019e+01
#> 115 7.118778e+00 7.118778e+00 9.150138e+00 1.456499e+01 2.272398e+01
#> 118 3.688438e+00 3.688438e+00 4.833423e+00 7.721471e+00 1.209527e+01
#> 121 1.869360e+00 1.869360e+00 2.495076e+00 3.997324e+00 6.283477e+00
#> 124 9.278840e-01 9.278840e-01 1.259651e+00 2.022467e+00 3.187916e+00
#> 127 4.515466e-01 4.515466e-01 6.224441e-01 1.000929e+00 1.580704e+00
#> 130 2.156267e-01 2.156267e-01 3.012877e-01 4.849520e-01 7.666055e-01
#> 133 1.011145e-01 1.011145e-01 1.429664e-01 2.302108e-01 3.639370e-01
#> 136 4.659154e-02 4.659154e-02 6.655623e-02 1.071605e-01 1.692689e-01
#> 139 2.110690e-02 2.110690e-02 3.042055e-02 4.895193e-02 7.719567e-02
#> 142 9.405639e-03 9.405639e-03 1.366096e-02 2.196185e-02 3.454955e-02
#> 145 4.124913e-03 4.124913e-03 6.031652e-03 9.684203e-03 1.518774e-02
#> 148 1.781234e-03 1.781234e-03 2.620178e-03 4.200307e-03 6.563114e-03
#> 151 7.577558e-04 7.577558e-04 1.120621e-03 1.793251e-03 2.790305e-03
#> 154 3.177382e-04 3.177382e-04 4.721836e-04 7.541523e-04 1.168075e-03
#> 157 1.313950e-04 1.313950e-04 1.961434e-04 3.126397e-04 4.818497e-04
#> 160 5.361696e-05 5.361696e-05 8.037675e-05 1.278495e-04 1.960240e-04
#> 163 2.160172e-05 2.160172e-05 3.251325e-05 5.160825e-05 7.870262e-05
#> 166 8.597847e-06 8.597847e-06 1.299088e-05 2.057753e-05 3.120798e-05
#> 169 3.382668e-06 3.382668e-06 5.130202e-06 8.109647e-06 1.223045e-05
#> 172 1.316285e-06 1.316285e-06 2.003607e-06 3.160951e-06 4.740358e-06
#> 175 5.068859e-07 5.068859e-07 7.743366e-07 1.219282e-06 1.818246e-06
#> 178 1.932799e-07 1.932799e-07 2.963042e-07 4.657120e-07 6.906158e-07
#> 181 7.301600e-08 7.301600e-08 1.123257e-07 1.762393e-07 2.599080e-07
#> 184 2.734225e-08 2.734225e-08 4.220718e-08 6.611415e-08 9.697198e-08
#> 187 1.015488e-08 1.015488e-08 1.572884e-08 2.459972e-08 3.588894e-08
#> 190 3.742391e-09 3.742391e-09 5.815945e-09 9.082854e-09 1.318201e-08
#> 193 1.369076e-09 1.369076e-09 2.134738e-09 3.329284e-09 4.807209e-09
#> 196 4.976208e-10 4.976208e-10 7.783750e-10 1.212406e-09 1.741943e-09
#> 199 1.796305e-10 1.796305e-10 2.819088e-10 4.385770e-10 6.270901e-10
#> 202 6.449249e-11 6.449249e-11 1.015264e-10 1.577752e-10 2.245354e-10
#> 205 2.298482e-11 2.298482e-11 3.630922e-11 5.636790e-11 7.984717e-11
#> 208 8.166975e-12 8.166975e-12 1.293980e-11 2.006920e-11 2.830483e-11
#> 211 2.904002e-12 2.904002e-12 4.611218e-12 7.146717e-12 1.003781e-11
#> 214 1.015687e-12 1.015687e-12 1.618682e-12 2.507581e-12 3.507256e-12
#> 217 3.596415e-13 3.596415e-13 5.754744e-13 8.898252e-13 1.242194e-12
#> 220 1.238514e-13 1.238514e-13 1.983568e-13 3.068190e-13 4.251330e-13
#> 223 4.215080e-14 4.215080e-14 6.791678e-14 1.043655e-13 1.436896e-13
#> 226 1.472343e-14 1.472343e-14 2.381736e-14 3.662779e-14 5.088615e-14
#> 229 4.343711e-15 4.343711e-15 7.162718e-15 1.099128e-14 1.444884e-14
#> 232 2.215326e-15 2.215326e-15 3.449929e-15 5.312604e-15 7.278832e-15
#> 235 6.142694e-16 6.142694e-16 1.004336e-15 1.519307e-15 2.025816e-15
#> 238 1.285494e-16 1.285494e-16 2.434454e-16 3.771524e-16 4.454824e-16
#> year
#> length 6 7 8 9 10
#> 1 1.278583e-55 2.195273e-55 1.010794e-55 8.397316e-56 1.100280e-55
#> 4 1.546435e-15 2.655164e-15 1.222547e-15 1.015648e-15 1.330779e-15
#> 7 1.131506e-01 1.942748e-01 8.945212e-02 7.431359e-02 9.737129e-02
#> 10 4.723492e+04 8.110037e+04 3.734196e+04 3.102235e+04 4.064783e+04
#> 13 5.653251e+06 9.706393e+06 4.469224e+06 3.712870e+06 4.864883e+06
#> 16 1.297520e+07 2.227799e+07 1.025996e+07 8.522468e+06 1.116659e+07
#> 19 2.350228e+06 4.049772e+06 2.150141e+06 1.642271e+06 2.128151e+06
#> 22 5.498015e+05 1.106666e+06 3.707394e+06 1.467472e+06 1.657218e+06
#> 25 1.023922e+06 2.094151e+06 7.652201e+06 3.013410e+06 3.374204e+06
#> 28 6.491183e+05 1.273192e+06 4.679583e+06 2.167551e+06 2.274968e+06
#> 31 2.830862e+05 3.671656e+05 1.438734e+06 1.803893e+06 1.450493e+06
#> 34 2.445451e+05 1.504343e+05 6.813798e+05 2.099991e+06 1.590709e+06
#> 37 2.426779e+05 1.008754e+05 4.226274e+05 1.523002e+06 1.436472e+06
#> 40 2.625442e+05 6.973592e+04 1.897826e+05 7.028702e+05 1.191010e+06
#> 43 3.117257e+05 6.168533e+04 7.364793e+04 2.741347e+05 9.670756e+05
#> 46 3.592452e+05 6.828979e+04 3.551250e+04 1.161225e+05 6.444738e+05
#> 49 3.833782e+05 8.203667e+04 2.438202e+04 5.208942e+04 3.359356e+05
#> 52 3.685114e+05 9.637481e+04 2.274981e+04 2.368703e+04 1.474108e+05
#> 55 3.191410e+05 1.038168e+05 2.531939e+04 1.260390e+04 6.063075e+04
#> 58 2.541234e+05 1.001760e+05 2.866268e+04 9.286702e+03 2.557233e+04
#> 61 1.897643e+05 8.698708e+04 3.001264e+04 8.851878e+03 1.205316e+04
#> 64 1.349102e+05 6.925263e+04 2.814351e+04 9.004037e+03 7.133981e+03
#> 67 9.245949e+04 5.163982e+04 2.368225e+04 8.709169e+03 5.499458e+03
#> 70 6.159861e+04 3.669015e+04 1.821760e+04 7.716773e+03 4.878330e+03
#> 73 4.000869e+04 2.511031e+04 1.313956e+04 6.261171e+03 4.359705e+03
#> 76 2.532539e+04 1.664861e+04 9.113657e+03 4.726119e+03 3.696703e+03
#> 79 1.562992e+04 1.072437e+04 6.199783e+03 3.395278e+03 2.937888e+03
#> 82 9.439531e+03 6.726371e+03 4.180749e+03 2.376099e+03 2.206641e+03
#> 85 5.617394e+03 4.119798e+03 2.800291e+03 1.648254e+03 1.591032e+03
#> 88 3.320604e+03 2.474203e+03 1.857216e+03 1.141644e+03 1.118605e+03
#> 91 1.962272e+03 1.463954e+03 1.214175e+03 7.878224e+02 7.752750e+02
#> 94 1.162089e+03 8.571391e+02 7.796025e+02 5.376960e+02 5.317591e+02
#> 97 6.885263e+02 4.980571e+02 4.905040e+02 3.601202e+02 3.601936e+02
#> 100 4.063232e+02 2.874853e+02 3.020192e+02 2.352809e+02 2.396897e+02
#> 103 2.375859e+02 1.646889e+02 1.818555e+02 1.494214e+02 1.558326e+02
#> 106 1.370186e+02 9.343571e+01 1.070275e+02 9.208814e+01 9.856426e+01
#> 109 7.767815e+01 5.236854e+01 6.154287e+01 5.505224e+01 6.049391e+01
#> 112 4.319762e+01 2.892819e+01 3.456825e+01 3.193435e+01 3.598597e+01
#> 115 2.353700e+01 1.571999e+01 1.896642e+01 1.798711e+01 2.074553e+01
#> 118 1.255837e+01 8.392265e+00 1.016690e+01 9.846696e+00 1.159602e+01
#> 121 6.560427e+00 4.397623e+00 5.326718e+00 5.244519e+00 6.290382e+00
#> 124 3.355611e+00 2.260682e+00 2.729236e+00 2.720801e+00 3.315230e+00
#> 127 1.680874e+00 1.139797e+00 1.368422e+00 1.376474e+00 1.699621e+00
#> 130 8.247978e-01 5.635733e-01 6.719063e-01 6.798735e-01 8.486873e-01
#> 133 3.966138e-01 2.733009e-01 3.233170e-01 3.282314e-01 4.132961e-01
#> 136 1.869761e-01 1.300128e-01 1.525810e-01 1.550661e-01 1.965397e-01
#> 139 8.646108e-02 6.069032e-02 7.067071e-02 7.176550e-02 9.138220e-02
#> 142 3.923891e-02 2.781087e-02 3.214793e-02 3.257137e-02 4.159373e-02
#> 145 1.748812e-02 1.251645e-02 1.437281e-02 1.451166e-02 1.855515e-02
#> 148 7.659249e-03 5.535519e-03 6.319749e-03 6.352997e-03 8.122080e-03
#> 151 3.298740e-03 2.407187e-03 2.734754e-03 2.735394e-03 3.492301e-03
#> 154 1.398108e-03 1.029953e-03 1.165425e-03 1.159368e-03 1.476563e-03
#> 157 5.835545e-04 4.338862e-04 4.894212e-04 4.841113e-04 6.144988e-04
#> 160 2.400438e-04 1.800894e-04 2.026733e-04 1.993139e-04 2.519591e-04
#> 163 9.738381e-05 7.369898e-05 8.281437e-05 8.097070e-05 1.018754e-04
#> 166 3.899286e-05 2.975794e-05 3.341083e-05 3.248117e-05 4.065452e-05
#> 169 1.542036e-05 1.186360e-05 1.331725e-05 1.287509e-05 1.602504e-05
#> 172 6.027210e-06 4.673066e-06 5.247538e-06 5.046289e-06 6.244131e-06
#> 175 2.329931e-06 1.819915e-06 2.045377e-06 1.956922e-06 2.406804e-06
#> 178 8.913690e-07 7.012115e-07 7.890859e-07 7.513105e-07 9.183381e-07
#> 181 3.377004e-07 2.674663e-07 3.014793e-07 2.857347e-07 3.470865e-07
#> 184 1.267722e-07 1.010589e-07 1.141334e-07 1.077073e-07 1.300202e-07
#> 187 4.718386e-08 3.784658e-08 4.283817e-08 4.026276e-08 4.830321e-08
#> 190 1.742098e-08 1.405602e-08 1.594886e-08 1.493337e-08 1.780615e-08
#> 193 6.383636e-09 5.179661e-09 5.892710e-09 5.497957e-09 6.516345e-09
#> 196 2.323281e-09 1.895141e-09 2.162039e-09 2.010550e-09 2.368909e-09
#> 199 8.397906e-10 6.885526e-10 7.878331e-10 7.303747e-10 8.556378e-10
#> 202 3.018063e-10 2.486518e-10 2.853622e-10 2.637795e-10 3.072980e-10
#> 205 1.077265e-10 8.917839e-11 1.026583e-10 9.465290e-11 1.096669e-10
#> 208 3.830326e-11 3.184568e-11 3.677773e-11 3.382238e-11 3.898314e-11
#> 211 1.360463e-11 1.135027e-11 1.315745e-11 1.206780e-11 1.383468e-11
#> 214 4.772440e-12 4.001338e-12 4.646058e-12 4.257877e-12 4.863796e-12
#> 217 1.685107e-12 1.413371e-12 1.656156e-12 1.516676e-12 1.716255e-12
#> 220 5.835923e-13 4.933532e-13 5.751596e-13 5.244590e-13 5.934620e-13
#> 223 1.992140e-13 1.698837e-13 1.995517e-13 1.793278e-13 2.010049e-13
#> 226 6.943699e-14 5.923377e-14 7.030000e-14 6.281322e-14 7.175327e-14
#> 229 2.063711e-14 1.796113e-14 2.171045e-14 1.956345e-14 2.050553e-14
#> 232 1.066056e-14 8.656744e-15 9.701883e-15 9.022374e-15 9.660624e-15
#> 235 2.783717e-15 2.682512e-15 2.998175e-15 2.610282e-15 2.909634e-15
#> 238 6.298734e-16 5.627660e-16 8.588883e-16 7.600735e-16 7.179479e-16
#> year
#> length 11 12 13 14 15
#> 1 9.144063e-56 5.536862e-56 4.068903e-56 5.672872e-56 5.811353e-56
#> 4 1.105966e-15 6.696786e-16 4.921303e-16 6.861289e-16 7.028781e-16
#> 7 8.092207e-02 4.899948e-02 3.600851e-02 5.020312e-02 5.142864e-02
#> 10 3.378107e+04 2.045493e+04 1.503182e+04 2.095739e+04 2.146898e+04
#> 13 4.043044e+06 2.448122e+06 1.799064e+06 2.508258e+06 2.569488e+06
#> 16 9.280779e+06 5.620203e+06 4.129886e+06 5.757298e+06 5.898233e+06
#> 19 1.843269e+06 1.186624e+06 8.388226e+05 1.094122e+06 1.170458e+06
#> 22 2.213372e+06 2.130344e+06 1.193823e+06 8.196027e+05 1.395438e+06
#> 25 4.555676e+06 4.430501e+06 2.488276e+06 1.672936e+06 2.870280e+06
#> 28 2.994998e+06 3.059778e+06 1.891083e+06 1.201983e+06 1.870954e+06
#> 31 1.660964e+06 2.176613e+06 1.890306e+06 1.009141e+06 9.867549e+05
#> 34 1.662760e+06 2.458950e+06 2.454780e+06 1.284285e+06 9.704382e+05
#> 37 1.425561e+06 2.049312e+06 2.253958e+06 1.324113e+06 8.839892e+05
#> 40 1.122149e+06 1.468985e+06 1.902774e+06 1.352902e+06 7.933131e+05
#> 43 9.706686e+05 1.162154e+06 1.658932e+06 1.355209e+06 7.858173e+05
#> 46 8.244845e+05 9.468003e+05 1.320751e+06 1.189994e+06 7.711045e+05
#> 49 6.441936e+05 7.586878e+05 9.738837e+05 9.460342e+05 7.298858e+05
#> 52 4.508677e+05 6.021191e+05 7.196766e+05 7.096125e+05 6.581803e+05
#> 55 2.735556e+05 4.584912e+05 5.433028e+05 5.089381e+05 5.553495e+05
#> 58 1.429857e+05 3.216607e+05 4.088971e+05 3.593134e+05 4.391686e+05
#> 61 6.624720e+04 2.029364e+05 2.976150e+05 2.577295e+05 3.308217e+05
#> 64 2.877977e+04 1.142484e+05 2.039036e+05 1.870758e+05 2.424701e+05
#> 67 1.280423e+04 5.779725e+04 1.290148e+05 1.329871e+05 1.755614e+05
#> 70 6.596193e+03 2.686273e+04 7.475784e+04 8.973996e+04 1.254398e+05
#> 73 4.278004e+03 1.195927e+04 3.975441e+04 5.653110e+04 8.709427e+04
#> 76 3.304963e+03 5.465077e+03 1.964600e+04 3.310618e+04 5.770845e+04
#> 79 2.698717e+03 2.796180e+03 9.258183e+03 1.810744e+04 3.605540e+04
#> 82 2.159287e+03 1.679834e+03 4.348330e+03 9.365109e+03 2.116157e+04
#> 85 1.648979e+03 1.142353e+03 2.162905e+03 4.681562e+03 1.171076e+04
#> 88 1.200410e+03 8.173543e+02 1.198683e+03 2.339003e+03 6.176104e+03
#> 91 8.399638e+02 5.844503e+02 7.417571e+02 1.216829e+03 3.160653e+03
#> 94 5.707691e+02 4.085050e+02 4.910621e+02 6.803051e+02 1.609808e+03
#> 97 3.797573e+02 2.776374e+02 3.316537e+02 4.097354e+02 8.396820e+02
#> 100 2.484891e+02 1.837664e+02 2.218417e+02 2.591941e+02 4.583349e+02
#> 103 1.599912e+02 1.188202e+02 1.450615e+02 1.667099e+02 2.628377e+02
#> 106 1.011483e+02 7.521703e+01 9.237493e+01 1.064137e+02 1.561434e+02
#> 109 6.259218e+01 4.665005e+01 5.728868e+01 6.651395e+01 9.403225e+01
#> 112 3.779799e+01 2.832954e+01 3.463999e+01 4.047385e+01 5.631992e+01
#> 115 2.222421e+01 1.682288e+01 2.044119e+01 2.393504e+01 3.312854e+01
#> 118 1.270609e+01 9.754024e+00 1.177807e+01 1.375813e+01 1.900838e+01
#> 121 7.059865e+00 5.514906e+00 6.627066e+00 7.693497e+00 1.060779e+01
#> 124 3.812594e+00 3.038053e+00 3.640747e+00 4.189577e+00 5.753668e+00
#> 127 2.002239e+00 1.630015e+00 1.952600e+00 2.223937e+00 3.034672e+00
#> 130 1.023386e+00 8.518207e-01 1.022279e+00 1.151772e+00 1.557999e+00
#> 133 5.095975e-01 4.337483e-01 5.225378e-01 5.824479e-01 7.795538e-01
#> 136 2.474918e-01 2.153512e-01 2.608574e-01 2.878295e-01 3.806323e-01
#> 139 1.173668e-01 1.043387e-01 1.272484e-01 1.391043e-01 1.815908e-01
#> 142 5.441204e-02 4.938039e-02 6.069573e-02 6.579898e-02 8.474942e-02
#> 145 2.469009e-02 2.285228e-02 2.833122e-02 3.048800e-02 3.873781e-02
#> 148 1.097824e-02 1.035243e-02 1.295251e-02 1.384962e-02 1.736063e-02
#> 151 4.788694e-03 4.595901e-03 5.805336e-03 6.173380e-03 7.636287e-03
#> 154 2.051409e-03 2.001650e-03 2.553292e-03 2.702498e-03 3.300046e-03
#> 157 8.639659e-04 8.561704e-04 1.103041e-03 1.162916e-03 1.402474e-03
#> 160 3.580882e-04 3.600299e-04 4.685075e-04 4.923247e-04 5.866862e-04
#> 163 1.462019e-04 1.489909e-04 1.958317e-04 2.052346e-04 2.417888e-04
#> 166 5.885535e-05 6.073550e-05 8.062830e-05 8.431628e-05 9.825477e-05
#> 169 2.338139e-05 2.441114e-05 3.272759e-05 3.416574e-05 3.940130e-05
#> 172 9.174201e-06 9.682290e-06 1.310785e-05 1.366576e-05 1.560432e-05
#> 175 3.558138e-06 3.792942e-06 5.184335e-06 5.399732e-06 6.107730e-06
#> 178 1.365084e-06 1.468682e-06 2.026453e-06 2.109236e-06 2.364419e-06
#> 181 5.184248e-07 5.625481e-07 7.834000e-07 8.150752e-07 9.058852e-07
#> 184 1.950260e-07 2.132953e-07 2.997364e-07 3.118035e-07 3.437221e-07
#> 187 7.272053e-08 8.011031e-08 1.135785e-07 1.181555e-07 1.292396e-07
#> 190 2.689288e-08 2.982331e-08 4.265103e-08 4.437935e-08 4.818286e-08
#> 193 9.869054e-09 1.101136e-08 1.588148e-08 1.653137e-08 1.782125e-08
#> 196 3.596060e-09 4.034741e-09 5.867617e-09 6.110785e-09 6.542917e-09
#> 199 1.301554e-09 1.467808e-09 2.151862e-09 2.242476e-09 2.385578e-09
#> 202 4.682326e-10 5.304837e-10 7.838511e-10 8.174869e-10 8.642721e-10
#> 205 1.673824e-10 1.904965e-10 2.836610e-10 2.960240e-10 3.110859e-10
#> 208 5.956574e-11 6.804230e-11 1.020771e-10 1.066314e-10 1.114270e-10
#> 211 2.113898e-11 2.420314e-11 3.656042e-11 3.825352e-11 3.979924e-11
#> 214 7.436735e-12 8.549972e-12 1.301600e-11 1.362196e-11 1.407371e-11
#> 217 2.619572e-12 3.017295e-12 4.619027e-12 4.837089e-12 4.995708e-12
#> 220 9.119393e-13 1.055980e-12 1.628334e-12 1.707415e-12 1.745435e-12
#> 223 3.132249e-13 3.667018e-13 5.697888e-13 5.976287e-13 6.069309e-13
#> 226 1.102236e-13 1.264328e-13 1.983992e-13 2.099961e-13 2.118467e-13
#> 229 3.232516e-14 3.875178e-14 6.354341e-14 6.721331e-14 6.611844e-14
#> 232 1.644807e-14 1.974785e-14 2.809633e-14 2.866165e-14 3.114314e-14
#> 235 4.071096e-15 5.647372e-15 9.197926e-15 9.113885e-15 8.730544e-15
#> 238 1.104986e-15 1.101313e-15 2.435890e-15 2.903413e-15 2.502030e-15
#> year
#> length 16 17 18 19 20
#> 1 7.401190e-56 2.277921e-55 2.459966e-55 3.770235e-55 2.051595e-55
#> 4 8.951675e-16 2.755126e-15 2.975308e-15 4.560066e-15 2.481386e-15
#> 7 6.549820e-02 2.015888e-01 2.176992e-01 3.336538e-01 1.815597e-01
#> 10 2.734235e+04 8.415364e+04 9.087896e+04 1.392844e+05 7.579244e+04
#> 13 3.272434e+06 1.007182e+07 1.087673e+07 1.667008e+07 9.071121e+06
#> 16 7.511647e+06 2.311687e+07 2.496730e+07 3.826353e+07 2.082394e+07
#> 19 1.466476e+06 4.222407e+06 4.938734e+06 7.282145e+06 4.293768e+06
#> 22 1.506312e+06 1.374633e+06 5.728673e+06 5.564403e+06 6.737611e+06
#> 25 3.093815e+06 2.665758e+06 1.174183e+07 1.132956e+07 1.392741e+07
#> 28 2.093859e+06 1.845265e+06 7.265977e+06 7.724720e+06 8.999153e+06
#> 31 1.355035e+06 1.330698e+06 2.542881e+06 5.169908e+06 4.471422e+06
#> 34 1.454682e+06 1.539241e+06 1.617688e+06 5.549527e+06 4.120024e+06
#> 37 1.170535e+06 1.378757e+06 1.349402e+06 4.139578e+06 3.395051e+06
#> 40 7.842979e+05 1.131118e+06 1.142807e+06 2.207082e+06 2.454654e+06
#> 43 5.976879e+05 9.601140e+05 1.038596e+06 1.235027e+06 1.835006e+06
#> 46 5.148120e+05 7.474445e+05 8.965567e+05 8.783806e+05 1.249040e+06
#> 49 4.770050e+05 5.486512e+05 7.252432e+05 7.162035e+05 7.441846e+05
#> 52 4.676496e+05 4.302938e+05 5.654418e+05 6.075152e+05 4.383338e+05
#> 55 4.592477e+05 3.795351e+05 4.343216e+05 5.075722e+05 2.876286e+05
#> 58 4.299616e+05 3.608057e+05 3.451787e+05 4.093986e+05 2.099687e+05
#> 61 3.755581e+05 3.457356e+05 2.967662e+05 3.229901e+05 1.597486e+05
#> 64 3.060168e+05 3.183175e+05 2.725016e+05 2.582971e+05 1.216141e+05
#> 67 2.354540e+05 2.758261e+05 2.537344e+05 2.163664e+05 9.292422e+04
#> 70 1.737656e+05 2.246708e+05 2.292034e+05 1.898000e+05 7.362178e+04
#> 73 1.243670e+05 1.734237e+05 1.965557e+05 1.688962e+05 6.221735e+04
#> 76 8.645877e+04 1.280415e+05 1.591595e+05 1.471233e+05 5.559743e+04
#> 79 5.800168e+04 9.091607e+04 1.219692e+05 1.226845e+05 5.050164e+04
#> 82 3.720856e+04 6.209747e+04 8.882920e+04 9.705047e+04 4.483126e+04
#> 85 2.267233e+04 4.066302e+04 6.167751e+04 7.272130e+04 3.798534e+04
#> 88 1.309544e+04 2.542456e+04 4.088447e+04 5.169634e+04 3.041802e+04
#> 91 7.192314e+03 1.514030e+04 2.587550e+04 3.494078e+04 2.297144e+04
#> 94 3.787046e+03 8.587839e+03 1.563257e+04 2.249529e+04 1.637992e+04
#> 97 1.937054e+03 4.653872e+03 9.018740e+03 1.381637e+04 1.105427e+04
#> 100 9.794635e+02 2.423783e+03 4.975928e+03 8.107000e+03 7.079236e+03
#> 103 4.990781e+02 1.223686e+03 2.632826e+03 4.552030e+03 4.313410e+03
#> 106 2.602898e+02 6.054458e+02 1.341459e+03 2.450911e+03 2.507040e+03
#> 109 1.398241e+02 2.971261e+02 6.617125e+02 1.268682e+03 1.393624e+03
#> 112 7.699384e+01 1.462534e+02 3.180416e+02 6.333452e+02 7.429160e+02
#> 115 4.293680e+01 7.276067e+01 1.500023e+02 3.060328e+02 3.808459e+02
#> 118 2.392460e+01 3.667000e+01 6.992042e+01 1.437137e+02 1.882874e+02
#> 121 1.317485e+01 1.866542e+01 3.241419e+01 6.587585e+01 9.004078e+01
#> 124 7.118318e+00 9.534237e+00 1.501313e+01 2.960764e+01 4.177505e+01
#> 127 3.758161e+00 4.851321e+00 6.962585e+00 1.310494e+01 1.886194e+01
#> 130 1.935334e+00 2.443163e+00 3.232555e+00 5.735231e+00 8.313489e+00
#> 133 9.717457e-01 1.211960e+00 1.499324e+00 2.489900e+00 3.587808e+00
#> 136 4.759460e-01 5.903926e-01 6.925816e-01 1.074868e+00 1.520568e+00
#> 139 2.275919e-01 2.819658e-01 3.175692e-01 4.620070e-01 6.346382e-01
#> 142 1.063726e-01 1.319427e-01 1.441213e-01 1.977932e-01 2.615179e-01
#> 145 4.865118e-02 6.049734e-02 6.458912e-02 8.430436e-02 1.066372e-01
#> 148 2.180066e-02 2.719348e-02 2.854059e-02 3.573925e-02 4.310846e-02
#> 151 9.582278e-03 1.199218e-02 1.242372e-02 1.505134e-02 1.730213e-02
#> 154 4.136008e-03 5.193057e-03 5.325549e-03 6.289476e-03 6.901964e-03
#> 157 1.754990e-03 2.210315e-03 2.248073e-03 2.604973e-03 2.738195e-03
#> 160 7.328101e-04 9.255773e-04 9.348028e-04 1.068521e-03 1.080711e-03
#> 163 3.014052e-04 3.816933e-04 3.830931e-04 4.338177e-04 4.243549e-04
#> 166 1.222218e-04 1.551540e-04 1.548198e-04 1.742758e-04 1.657547e-04
#> 169 4.890573e-05 6.222213e-05 6.174177e-05 6.926708e-05 6.438985e-05
#> 172 1.932584e-05 2.463932e-05 2.431481e-05 2.724005e-05 2.486945e-05
#> 175 7.547778e-06 9.641910e-06 9.462658e-06 1.060153e-05 9.547728e-06
#> 178 2.915555e-06 3.731475e-06 3.641815e-06 4.084579e-06 3.642744e-06
#> 181 1.114659e-06 1.429190e-06 1.387029e-06 1.558493e-06 1.380984e-06
#> 184 4.220541e-07 5.421046e-07 5.231143e-07 5.891409e-07 5.201576e-07
#> 187 1.583696e-07 2.037777e-07 1.955122e-07 2.207641e-07 1.946728e-07
#> 190 5.892546e-08 7.595165e-08 7.245085e-08 8.203948e-08 7.239359e-08
#> 193 2.175243e-08 2.808620e-08 2.662950e-08 3.023659e-08 2.674669e-08
#> 196 7.971109e-09 1.031089e-08 9.723461e-09 1.107639e-08 9.831381e-09
#> 199 2.901028e-09 3.758998e-09 3.522121e-09 4.021335e-09 3.586424e-09
#> 202 1.049058e-09 1.361797e-09 1.268677e-09 1.452943e-09 1.303763e-09
#> 205 3.770506e-10 4.903772e-10 4.540212e-10 5.198851e-10 4.674423e-10
#> 208 1.348046e-10 1.756467e-10 1.617121e-10 1.856935e-10 1.683295e-10
#> 211 4.800949e-11 6.262627e-11 5.733357e-11 6.623582e-11 6.182169e-11
#> 214 1.698744e-11 2.224344e-11 2.022898e-11 2.328789e-11 2.122497e-11
#> 217 6.028818e-12 7.848828e-12 7.090597e-12 8.204716e-12 7.676638e-12
#> 220 2.097012e-12 2.760076e-12 2.488808e-12 2.882127e-12 2.647722e-12
#> 223 7.231664e-13 9.502640e-13 8.609364e-13 1.004022e-12 9.331712e-13
#> 226 2.512602e-13 3.356425e-13 3.040196e-13 3.426202e-13 3.247011e-13
#> 229 7.789655e-14 1.030205e-13 8.789475e-14 1.071635e-13 1.061260e-13
#> 232 3.719441e-14 4.590536e-14 4.471864e-14 5.714987e-14 4.469619e-14
#> 235 1.125505e-14 1.412227e-14 1.126529e-14 1.439956e-14 1.592651e-14
#> 238 2.598863e-15 4.124373e-15 2.949361e-15 3.030650e-15 4.225258e-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: 0x55d5ac817108>
#> <environment: 0x55d5b2880a60>
#>