Closure for simulating length given age using von Bertalanffy notation
Source:R/sim_pop.R
sim_vonB.RdThis function returns a closure that holds the supplied parameter values and can be used to either simulate lengths given ages or generate a length-at-age key from 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 length-at-age relationship on the log scale.
- length_group
Length group width for constructing the length-at-age key. Labels on the resulting matrix use midpoints according to DFO conventions; see
group_lengths(). This value will also determine the length groupings used in the stratified analysis viarun_strat().- digits
Number of decimal places to round simulated lengths to.
- plot
Logical. Should a simple plot of the simulated values be produced?
Value
A function that can be passed to 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 24 23 22 21 21 22 21 21 22 24 21 23 22 22 22 23 23
#> [19] 24 21 21 24 22 22 23 23 22 21 23 23 22 21 22 22 23 23
#> [37] 22 23 23 22 22 22 24 23 20 20 19 21 23 22 22 21 23 21
#> [55] 21 22 21 22 21 22 24 25 21 22 22 21 21 22 23 22 21 21
#> [73] 22 24 23 21 19 22 22 22 22 23 21 24 22 22 21 26 22 24
#> [91] 22 21 22 23 22 24 22 23 24 23 36 35 35 38 35 39 38 34
#> [109] 36 37 38 37 36 39 35 38 39 36 34 37 36 40 37 38 35 36
#> [127] 37 31 36 35 35 36 37 37 37 36 38 33 34 37 34 38 34 37
#> [145] 37 36 36 33 38 38 36 36 35 35 36 39 37 35 37 37 38 36
#> [163] 38 35 36 33 34 36 36 35 38 36 36 36 37 38 36 36 36 35
#> [181] 38 39 34 34 36 37 37 36 36 35 34 32 38 40 35 36 35 35
#> [199] 34 35 46 48 46 47 46 50 45 47 48 46 51 50 47 48 50 44
#> [217] 48 44 52 44 47 48 47 47 45 50 48 49 53 48 47 47 52 46
#> [235] 50 44 46 43 48 46 51 49 49 48 50 47 50 48 48 46 41 46
#> [253] 49 48 49 44 49 59 43 46 43 50 52 51 52 49 44 48 49 48
#> [271] 53 49 49 48 49 47 48 47 51 49 51 49 49 47 49 49 48 45
#> [289] 53 48 47 46 44 50 53 54 48 50 50 46 57 58 54 55 59 58
#> [307] 62 57 52 60 59 57 51 57 56 59 56 51 58 58 56 58 58 54
#> [325] 56 63 59 56 54 60 56 65 61 61 59 54 52 53 62 55 55 59
#> [343] 56 65 56 62 57 56 57 58 53 58 56 62 54 57 55 56 63 59
#> [361] 56 54 57 57 55 58 60 62 58 57 62 61 56 53 57 56 54 57
#> [379] 57 58 61 57 51 57 55 57 59 60 60 55 53 55 59 55 59 54
#> [397] 54 55 59 57 59 64 58 64 62 65 65 76 65 64 66 70 65 60
#> [415] 67 64 64 62 66 63 69 63 60 65 68 60 70 70 68 65 57 65
#> [433] 65 65 63 63 67 68 73 64 61 60 64 66 57 66 68 68 63 60
#> [451] 67 66 74 69 65 61 63 65 64 65 64 64 64 62 66 59 66 70
#> [469] 69 68 65 68 71 67 62 70 67 63 66 66 64 71 61 67 68 65
#> [487] 65 63 64 65 67 64 62 65 64 70 63 68 62 62 78 76 73 72
#> [505] 71 68 69 65 73 76 68 71 71 69 65 75 72 71 70 66 72 72
#> [523] 69 71 70 70 68 68 68 74 70 74 75 71 70 71 68 76 74 72
#> [541] 73 71 73 76 69 70 69 72 71 71 65 67 76 69 72 74 67 77
#> [559] 63 77 71 78 71 71 79 69 67 77 75 71 71 72 71 71 73 79
#> [577] 68 79 74 78 66 78 75 66 60 73 69 71 80 68 71 75 72 69
#> [595] 69 71 71 75 73 74 70 75 74 86 72 81 72 82 81 80 75 80
#> [613] 82 74 79 77 73 77 85 74 78 84 80 77 76 77 73 75 77 74
#> [631] 73 75 76 73 77 76 82 76 76 72 78 82 83 78 78 75 79 71
#> [649] 73 77 74 71 77 74 86 79 82 78 73 85 81 71 75 73 77 74
#> [667] 75 77 78 80 79 78 71 74 77 83 77 77 78 77 71 75 85 86
#> [685] 74 83 76 75 78 71 77 74 75 78 73 84 75 78 83 79 78 82
#> [703] 84 82 77 79 89 82 83 84 76 78 78 85 87 79 81 83 81 82
#> [721] 81 85 82 73 83 80 82 80 87 91 84 80 85 86 84 85 89 83
#> [739] 72 80 78 75 77 79 84 88 79 81 79 80 86 77 81 78 85 85
#> [757] 84 82 82 82 78 75 76 79 76 82 84 85 82 78 80 79 81 85
#> [775] 81 81 85 85 81 81 79 80 87 78 83 84 86 90 83 80 87 83
#> [793] 78 79 77 89 84 76 78 77 90 81 87 82 83 89 74 83 84 85
#> [811] 89 91 87 85 90 88 83 85 88 77 91 85 92 80 88 83 83 81
#> [829] 80 81 85 77 80 91 84 92 85 82 83 82 85 85 85 93 83 93
#> [847] 84 87 79 87 78 86 87 90 87 91 86 83 85 76 87 88 97 80
#> [865] 88 71 90 78 89 84 80 80 88 89 78 89 86 78 82 81 81 77
#> [883] 87 88 88 83 80 86 85 83 85 76 87 79 79 92 90 89 90 82
#> [901] 89 84 85 88 80 88 93 88 89 90 90 88 86 82 91 83 90 85
#> [919] 92 83 92 89 91 87 81 91 92 82 86 84 88 83 93 88 86 81
#> [937] 88 88 85 90 83 91 90 83 84 86 92 89 78 87 84 89 87 88
#> [955] 86 84 85 83 78 91 85 85 84 92 88 82 81 88 87 82 91 85
#> [973] 84 86 91 89 86 86 89 80 87 86 93 93 84 94 89 91 83 91
#> [991] 92 84 83 86 91 81 101 88 89 99 91 83 87 88 86 86 86 92
#> [1009] 86 94 89 91 88 97 91 93 93 97 94 86 88 88 91 89 93 88
#> [1027] 94 93 84 87 87 89 85 83 86 85 91 92 89 84 90 86 91 92
#> [1045] 90 87 82 95 86 91 84 89 95 88 88 104 89 97 86 93 83 81
#> [1063] 78 94 81 99 95 86 88 87 82 89 95 86 94 91 91 90 81 92
#> [1081] 90 94 86 90 91 88 91 97 85 87 96 91 86 88 89 90 88 92
#> [1099] 88 84 97 91 86 93 102 93 89 95 93 88 96 90 94 96 100 84
#> [1117] 90 97 79 88 98 100 96 86 97 100 83 92 86 86 86 97 83 94
#> [1135] 88 92 88 94 89 89 86 103 94 90 91 91 81 95 91 92 96 98
#> [1153] 93 94 97 97 97 93 87 91 87 93 95 98 87 91 86 86 81 94
#> [1171] 91 89 86 95 99 97 93 82 93 91 91 97 91 87 97 91 94 89
#> [1189] 93 94 93 93 92 92 94 88 88 89 96 91 91 85 91 95 96 92
#> [1207] 103 96 110 98 95 96 88 89 88 93 95 90 94 95 95 94 90 96
#> [1225] 96 93 102 87 93 90 90 83 88 89 101 96 99 93 89 83 87 91
#> [1243] 84 93 99 90 93 89 98 90 87 94 95 91 94 96 92 104 100 95
#> [1261] 95 92 92 96 92 92 97 88 93 86 96 93 88 99 88 90 91 92
#> [1279] 95 91 93 95 102 89 87 94 93 96 96 95 92 95 96 87 98 94
#> [1297] 97 97 96 94 91 99 94 96 88 90 99 90 87 91 93 99 94 93
#> [1315] 94 97 92 95 91 84 91 95 98 91 94 91 91 92 100 104 96 96
#> [1333] 92 98 94 92 89 99 88 90 92 94 92 98 90 88 95 94 96 98
#> [1351] 92 96 90 88 88 95 100 97 107 92 105 89 106 93 91 91 98 102
#> [1369] 97 92 83 92 93 93 92 93 86 94 91 90 89 89 97 91 90 87
#> [1387] 101 94 92 93 93 99 96 105 97 97 91 87 89 96 97 94 102 96
#> [1405] 92 97 101 93 96 102 96 99 96 99 99 81 95 108 101 95 92 98
#> [1423] 93 97 99 103 86 94 101 102 94 93 101 92 92 91 102 107 109 92
#> [1441] 97 91 101 96 96 98 96 86 100 99 95 90 92 98 95 99 89 100
#> [1459] 93 103 107 99 100 98 101 90 98 100 107 96 97 95 95 98 106 92
#> [1477] 96 96 98 92 96 98 98 93 95 97 91 92 89 101 102 97 87 101
#> [1495] 89 92 91 98 104 105
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 9.881313e-324 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 1.094568e-318 0.000000e+00 0.000000e+00
#> 12 1.293977e-254 8.226423e-276 1.052612e-292 3.078892e-306 3.980536e-317
#> 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 2.191946e-308 6.134309e-314 1.879455e-318 4.001932e-322
#> 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
#> 31468299 18186646 11710759 12942052 8007612 14362083 17914251 11432808
#> 9 10 11 12 13 14 15 16
#> 11716641 19664588 24269093 22314672 8695110 3849737 4653290 2180844
#> 17 18 19 20
#> 2381110 2540260 1351423 1892091
#>
#> $N0
#> [1] 3.146830e+07 1.215854e+07 4.271351e+06 1.841694e+06 8.788118e+05
#> [6] 4.830753e+05 2.240743e+05 8.675866e+04 4.518953e+04 2.224029e+04
#> [11] 1.048453e+04 3.630338e+03 1.582191e+03 5.231761e+02 1.897550e+02
#> [16] 8.966313e+01 4.232704e+01 1.416550e+01 5.198250e+00 1.410309e+00
#>
#> $Z
#> year
#> age 1 2 3 4 5 6 7
#> 1 0.9509484 0.3409168 0.5554770 0.8928128 0.7715804 0.2802233 0.6006157
#> 2 1.0461019 0.4766278 0.9488745 0.9433948 0.8452398 0.3702082 0.5639163
#> 3 0.8412446 0.3892978 0.9513010 0.8596037 0.7241726 0.2831509 0.4834517
#> 4 0.7398701 0.3502284 0.7279249 0.8593176 0.6523517 0.2733076 0.3696805
#> 5 0.5983982 0.2200938 0.7835836 1.0287856 0.7245729 0.3801582 0.4880542
#> 6 0.7681948 0.3048568 1.0609732 1.0608872 0.7551999 0.4390549 0.5226000
#> 7 0.9488475 0.2076791 0.6823731 0.7504647 0.6187630 0.4101281 0.6023979
#> 8 0.6522649 0.1997406 0.7058323 0.6603767 0.5847959 0.4178737 0.6069110
#> 9 0.7089597 0.2800193 0.9755306 0.5588573 0.5577679 0.5635433 0.6935617
#> 10 0.7520052 0.2684443 1.0736264 0.7301997 0.8565263 0.4829968 0.4817595
#> 11 1.0605746 0.2955993 1.2105941 0.5151573 0.6436357 0.4863536 0.4446817
#> 12 0.8305155 0.3639429 1.3061024 0.7874039 0.7412771 0.6186684 0.6133521
#> 13 1.1066475 0.3864368 1.6219467 0.6673733 0.5002671 0.5904473 0.5032099
#> 14 1.0141846 0.3803345 1.9382983 0.8816686 0.4833542 0.7008960 0.5797953
#> 15 0.7496738 0.4722918 1.5372570 1.2454472 0.5206464 0.7309141 0.7146749
#> 16 0.7506336 0.5576674 1.4247507 0.7861825 0.2896364 0.4050533 0.3342514
#> 17 1.0946167 0.7129009 1.3196266 0.8606395 0.2995029 0.4958311 0.6140147
#> 18 1.0024874 0.5694279 1.1092687 0.7757321 0.4486352 0.7269347 0.7067271
#> 19 1.3045135 0.9438465 1.4476762 1.0019722 0.3359502 0.6466782 0.6385590
#> 20 1.1661943 0.8155630 1.6413939 1.0475134 0.3392792 0.4381509 0.5758790
#> year
#> age 8 9 10 11 12 13 14
#> 1 0.2715582 0.6149206 0.1487461 0.2833076 0.2268369 0.7987426 0.3169757
#> 2 0.3122572 0.9214900 0.1527842 0.2120602 0.1863294 0.7309774 0.2664128
#> 3 0.2227973 0.6964433 0.1064793 0.1824910 0.1938016 0.6698539 0.3460996
#> 4 0.1729234 0.6463218 0.1959943 0.2677748 0.2795187 0.6519852 0.2487356
#> 5 0.1999117 0.5422897 0.1931098 0.3035033 0.3688556 0.6546927 0.3319346
#> 6 0.1942923 0.9136174 0.2496903 0.3156748 0.4056382 0.4462512 0.3134917
#> 7 0.2600067 1.0618871 0.2635058 0.2677262 0.3559609 0.4143813 0.2630166
#> 8 0.3495413 1.5702944 0.4068561 0.2507051 0.3172035 0.4362415 0.4325993
#> 9 0.3917469 1.0161389 0.3405052 0.2226531 0.2151956 0.3293020 0.5014958
#> 10 0.2316270 0.8057568 0.2677579 0.2043222 0.2099314 0.4240327 0.6114397
#> 11 0.2178835 0.7104318 0.2050793 0.2050980 0.2419731 0.5541845 0.9572845
#> 12 0.3682884 0.8897639 0.2790114 0.2459598 0.4296003 0.6371921 1.2814472
#> 13 0.3673990 1.1555082 0.4094919 0.2430240 0.2348488 0.5588578 1.0065884
#> 14 0.4312475 1.3648162 0.6496310 0.3585716 0.4282590 0.4932906 0.6254533
#> 15 0.4004697 0.6686247 0.4519355 0.3226483 0.3958667 0.4542258 0.7227366
#> 16 0.3205606 0.4543904 0.2928336 0.3521560 0.4018275 0.4553844 0.9573860
#> 17 0.4023896 0.5168197 0.4425528 0.5242565 0.3760010 0.4971109 0.7588992
#> 18 0.5742418 0.5512456 0.4130588 0.3603528 0.1919208 0.3843542 0.6037626
#> 19 0.5899110 0.7994676 0.5212602 0.3803314 0.2232310 0.3161133 0.6163991
#> 20 0.3407844 0.6150139 0.4296935 0.3603949 0.2224664 0.3452336 0.6626620
#> year
#> age 15 16 17 18 19 20
#> 1 0.5557117 0.8758674 1.0330718 0.7041363 0.4327362 0.4189456
#> 2 0.3333441 0.5768802 0.6258401 0.7186032 0.5825998 0.4627871
#> 3 0.4401700 0.4964877 0.5735175 0.7365043 0.4536311 0.3465002
#> 4 0.4063190 0.4412055 0.3872093 0.6470884 0.4261101 0.3859477
#> 5 0.4553391 0.4608585 0.2330990 0.6327013 0.3722868 0.3605996
#> 6 0.4101188 0.4235260 0.2244929 0.5092911 0.3922320 0.3645483
#> 7 0.2992860 0.3796997 0.1403516 0.3217267 0.3877920 0.2955926
#> 8 0.4925226 0.4971161 0.1607158 0.2690715 0.3490126 0.3861447
#> 9 0.4399935 0.5472602 0.2068683 0.3302123 0.3740437 0.3929519
#> 10 0.4174564 0.3708593 0.2406952 0.5064491 0.5772137 0.4495957
#> 11 0.6153005 0.3937072 0.1866122 0.4240581 0.3912538 0.4549004
#> 12 0.6897891 0.3247075 0.1491136 0.3516734 0.4297626 0.4675425
#> 13 0.6324833 0.4180946 0.1912397 0.3308500 0.2800680 0.4090017
#> 14 0.5346488 0.3195689 0.1883980 0.2779898 0.2405348 0.3154194
#> 15 0.3159275 0.2585666 0.1539709 0.2307729 0.2265757 0.3394507
#> 16 0.3745996 0.3030356 0.1693112 0.2290183 0.2387503 0.3166465
#> 17 0.4524306 0.3805304 0.3217188 0.3805674 0.2210380 0.3536580
#> 18 0.4464785 0.4441694 0.3498983 0.4151568 0.2962359 0.4211810
#> 19 0.5786712 0.5260056 0.3041796 0.3794643 0.2297429 0.3784003
#> 20 0.5279785 0.4507140 0.3557432 0.4289415 0.2051985 0.3818409
#>
#> $N
#> year
#> age 1 2 3 4 5
#> 1 3.146830e+07 1.818665e+07 1.171076e+07 1.294205e+07 8.007612e+06
#> 2 1.215854e+07 1.215854e+07 1.293285e+07 6.719616e+06 5.299800e+06
#> 3 4.271351e+06 4.271351e+06 7.548919e+06 5.007298e+06 2.615973e+06
#> 4 1.841694e+06 1.841694e+06 2.893979e+06 2.915681e+06 2.119738e+06
#> 5 8.788118e+05 8.788118e+05 1.297523e+06 1.397532e+06 1.234648e+06
#> 6 4.830753e+05 4.830753e+05 7.051969e+05 5.926647e+05 4.995347e+05
#> 7 2.240743e+05 2.240743e+05 3.561371e+05 2.440819e+05 2.051500e+05
#> 8 8.675866e+04 8.675866e+04 1.820532e+05 1.799974e+05 1.152426e+05
#> 9 4.518953e+04 4.518953e+04 7.105041e+04 8.987919e+04 9.299688e+04
#> 10 2.224029e+04 2.224029e+04 3.415285e+04 2.678546e+04 5.139850e+04
#> 11 1.048453e+04 1.048453e+04 1.700422e+04 1.167231e+04 1.290557e+04
#> 12 3.630338e+03 3.630338e+03 7.801384e+03 5.067600e+03 6.973118e+03
#> 13 1.582191e+03 1.582191e+03 2.522834e+03 2.113190e+03 2.305882e+03
#> 14 5.231761e+02 5.231761e+02 1.075057e+03 4.982946e+02 1.084181e+03
#> 15 1.897550e+02 1.897550e+02 3.576603e+02 1.547530e+02 2.063395e+02
#> 16 8.966313e+01 8.966313e+01 1.183258e+02 7.688622e+01 4.453981e+01
#> 17 4.232704e+01 4.232704e+01 5.133600e+01 2.846545e+01 3.502788e+01
#> 18 1.416550e+01 1.416550e+01 2.074956e+01 1.371878e+01 1.203780e+01
#> 19 5.198250e+00 5.198250e+00 8.015535e+00 6.843207e+00 6.315669e+00
#> 20 1.410309e+00 1.410309e+00 2.022786e+00 1.884581e+00 2.512515e+00
#> year
#> age 6 7 8 9 10
#> 1 1.436208e+07 1.791425e+07 1.143281e+07 1.171664e+07 1.966459e+07
#> 2 3.701774e+06 1.085221e+07 9.825498e+06 8.713983e+06 6.334998e+06
#> 3 2.276022e+06 2.556410e+06 6.174649e+06 7.190233e+06 3.467518e+06
#> 4 1.268029e+06 1.714769e+06 1.576413e+06 4.941430e+06 3.583286e+06
#> 5 1.104001e+06 9.647908e+05 1.184828e+06 1.326082e+06 2.589159e+06
#> 6 5.982257e+05 7.548644e+05 5.922075e+05 9.701410e+05 7.710047e+05
#> 7 2.347397e+05 3.856434e+05 4.476170e+05 4.876338e+05 3.890952e+05
#> 8 1.104959e+05 1.557651e+05 2.111387e+05 3.451335e+05 1.686250e+05
#> 9 6.421541e+04 7.275553e+04 8.489695e+04 1.488552e+05 7.178223e+04
#> 10 5.323937e+04 3.655068e+04 3.636269e+04 5.737973e+04 5.388408e+04
#> 11 2.182558e+04 3.284506e+04 2.257720e+04 2.884441e+04 2.563438e+04
#> 12 6.780316e+03 1.341977e+04 2.105461e+04 1.815701e+04 1.417506e+04
#> 13 3.322725e+03 3.652293e+03 7.267243e+03 1.456806e+04 7.458043e+03
#> 14 1.398215e+03 1.841054e+03 2.208129e+03 5.032807e+03 4.587444e+03
#> 15 6.686271e+02 6.937110e+02 1.031014e+03 1.434617e+03 1.285518e+03
#> 16 1.225938e+02 3.219230e+02 3.394683e+02 6.907848e+02 7.351161e+02
#> 17 3.333964e+01 8.176287e+01 2.304562e+02 2.463665e+02 4.385343e+02
#> 18 2.596219e+01 2.030599e+01 4.424792e+01 1.541107e+02 1.469365e+02
#> 19 7.686121e+00 1.254982e+01 1.001605e+01 2.491741e+01 8.880347e+01
#> 20 4.513548e+00 4.025858e+00 6.626970e+00 5.552664e+00 1.120207e+01
#> year
#> age 11 12 13 14 15
#> 1 2.426909e+07 2.231467e+07 8.695110e+06 3849737.1716 4653290.0168
#> 2 1.694670e+07 1.828162e+07 1.778593e+07 3911880.5388 2803950.2188
#> 3 5.437423e+06 1.370846e+07 1.517375e+07 8562823.9008 2996980.9480
#> 4 3.117277e+06 4.530418e+06 1.129332e+07 7765670.6435 6057701.4684
#> 5 2.945522e+06 2.384966e+06 3.425665e+06 5883938.9512 6055561.9026
#> 6 2.134480e+06 2.174465e+06 1.649264e+06 1779981.2525 4221927.8813
#> 7 6.006450e+05 1.556669e+06 1.449393e+06 1055566.9449 1300971.2609
#> 8 2.989626e+05 4.595638e+05 1.090447e+06 957684.6388 811445.0477
#> 9 1.122604e+05 2.326682e+05 3.346464e+05 704931.8996 621365.3420
#> 10 5.106666e+04 8.985240e+04 1.876198e+05 240753.2090 426923.7495
#> 11 4.122633e+04 4.162952e+04 7.283794e+04 122778.8713 130625.2667
#> 12 2.088132e+04 3.358163e+04 3.268239e+04 41848.3537 47138.9867
#> 13 1.072388e+04 1.632823e+04 2.185389e+04 17281.6346 11618.5761
#> 14 4.952047e+03 8.410232e+03 1.291057e+04 12497.4068 6315.8094
#> 15 2.395739e+03 3.459865e+03 5.480466e+03 7883.3736 6686.3484
#> 16 8.180975e+02 1.735063e+03 2.328823e+03 3479.7634 3826.7631
#> 17 5.485042e+02 5.752620e+02 1.160924e+03 1476.9490 1335.8640
#> 18 2.817120e+02 3.247119e+02 3.949758e+02 706.1731 691.4802
#> 19 9.721661e+01 1.964745e+02 2.680082e+02 268.9352 386.1006
#> 20 5.272900e+01 6.646065e+01 1.571658e+02 195.3718 145.1941
#> year
#> age 16 17 18 19 20
#> 1 2180843.8256 2381109.5824 2540259.673 1351422.8832 1892091.311
#> 2 2669424.1139 908322.7650 847465.484 1256248.6222 876710.778
#> 3 2009096.5298 1499276.3780 485781.886 413082.3429 701545.298
#> 4 1929836.7972 1222866.2075 844901.784 232584.9365 262438.271
#> 5 4035020.8945 1241387.7506 830263.720 442363.5038 151888.306
#> 6 3840636.3759 2545056.8574 983272.393 440998.7915 304857.722
#> 7 2801550.6638 2514595.7637 2033300.060 590869.4536 297915.583
#> 8 964471.6056 1916447.8080 2185316.072 1473931.6739 400936.533
#> 9 495860.2067 586671.0380 1631920.505 1669775.0759 1039688.221
#> 10 400184.5290 286871.3356 477037.906 1172977.3379 1148716.516
#> 11 281223.2998 276183.7770 225504.156 287478.1479 658580.563
#> 12 70600.1425 189699.6087 229167.758 147566.7383 194395.167
#> 13 23648.7757 51025.4573 163420.751 161221.7813 96016.300
#> 14 6172.6112 15567.9883 42143.689 117387.2394 121840.513
#> 15 3700.2751 4484.1685 12894.731 31915.6075 92290.702
#> 16 4875.0987 2857.1956 3844.264 10237.3812 25445.005
#> 17 2631.1466 3600.6152 2412.176 3057.3970 8063.079
#> 18 849.7167 1798.3855 2610.093 1648.6586 2451.073
#> 19 442.4626 544.9715 1267.430 1723.2794 1225.962
#> 20 216.4645 261.4781 402.041 867.2107 1369.555
#>
#> $N_at_length
#> year
#> length 1 2 3 4 5
#> 1 1.911956e-55 1.104987e-55 7.115243e-56 7.863354e-56 4.865278e-56
#> 4 2.312494e-15 1.336473e-15 8.605824e-16 9.510658e-16 5.884512e-16
#> 7 1.692021e-01 9.778789e-02 6.296765e-02 6.958820e-02 4.305618e-02
#> 10 7.063373e+04 4.082174e+04 2.628597e+04 2.904973e+04 1.797388e+04
#> 13 8.453707e+06 4.885697e+06 3.146002e+06 3.476779e+06 2.151181e+06
#> 16 1.940403e+07 1.121504e+07 7.222355e+06 7.980603e+06 4.937994e+06
#> 19 3.677653e+06 2.221839e+06 1.526555e+06 1.544811e+06 9.772722e+05
#> 22 2.650526e+06 2.611787e+06 2.756152e+06 1.452144e+06 1.138764e+06
#> 25 5.368073e+06 5.367788e+06 5.725849e+06 2.981084e+06 2.343884e+06
#> 28 3.468321e+06 3.468320e+06 3.879015e+06 2.084158e+06 1.559621e+06
#> 31 1.722397e+06 1.722397e+06 2.522533e+06 1.564367e+06 9.285082e+05
#> 34 1.578771e+06 1.578771e+06 2.719141e+06 1.826246e+06 9.874725e+05
#> 37 1.275906e+06 1.275906e+06 2.202922e+06 1.592700e+06 9.130519e+05
#> 40 8.961137e+05 8.961137e+05 1.486971e+06 1.247378e+06 8.138299e+05
#> 43 6.906058e+05 6.906058e+05 1.097483e+06 1.048539e+06 7.587733e+05
#> 46 5.452134e+05 5.452134e+05 8.428527e+05 8.501454e+05 6.572287e+05
#> 49 4.218301e+05 4.218301e+05 6.388377e+05 6.507656e+05 5.307345e+05
#> 52 3.285035e+05 3.285035e+05 4.908269e+05 4.883182e+05 4.122570e+05
#> 55 2.562287e+05 2.562287e+05 3.820516e+05 3.611216e+05 3.080990e+05
#> 58 1.965737e+05 1.965737e+05 2.963649e+05 2.636765e+05 2.233969e+05
#> 61 1.469858e+05 1.469858e+05 2.269123e+05 1.928059e+05 1.608337e+05
#> 64 1.069285e+05 1.069285e+05 1.705617e+05 1.427910e+05 1.174731e+05
#> 67 7.594677e+04 7.594677e+04 1.254102e+05 1.068465e+05 8.796051e+04
#> 70 5.301618e+04 5.301618e+04 9.003136e+04 7.960775e+04 6.722765e+04
#> 73 3.659120e+04 3.659120e+04 6.309904e+04 5.800856e+04 5.157055e+04
#> 76 2.502536e+04 2.502536e+04 4.323986e+04 4.080008e+04 3.888668e+04
#> 79 1.692401e+04 1.692401e+04 2.903800e+04 2.754516e+04 2.834705e+04
#> 82 1.126240e+04 1.126240e+04 1.914188e+04 1.786200e+04 1.978965e+04
#> 85 7.335678e+03 7.335678e+03 1.238657e+04 1.117171e+04 1.319200e+04
#> 88 4.657004e+03 4.657004e+03 7.855391e+03 6.774087e+03 8.408703e+03
#> 91 2.874555e+03 2.874555e+03 4.870245e+03 3.999862e+03 5.143941e+03
#> 94 1.723811e+03 1.723811e+03 2.944659e+03 2.306466e+03 3.033494e+03
#> 97 1.004752e+03 1.004752e+03 1.733234e+03 1.300518e+03 1.731764e+03
#> 100 5.699210e+02 5.699210e+02 9.923440e+02 7.172078e+02 9.602929e+02
#> 103 3.151156e+02 3.151156e+02 5.526854e+02 3.867603e+02 5.185075e+02
#> 106 1.701331e+02 1.701331e+02 2.996572e+02 2.039235e+02 2.730657e+02
#> 109 8.984669e+01 8.984669e+01 1.583473e+02 1.051620e+02 1.404251e+02
#> 112 4.647849e+01 4.647849e+01 8.166548e+01 5.308386e+01 7.058236e+01
#> 115 2.358125e+01 2.358125e+01 4.116582e+01 2.625989e+01 3.470789e+01
#> 118 1.174503e+01 1.174503e+01 2.031004e+01 1.274866e+01 1.671458e+01
#> 121 5.746606e+00 5.746606e+00 9.820109e+00 6.082941e+00 7.892471e+00
#> 124 2.763418e+00 2.763418e+00 4.658499e+00 2.856488e+00 3.658836e+00
#> 127 1.306483e+00 1.306483e+00 2.170344e+00 1.321669e+00 1.667498e+00
#> 130 6.074196e-01 6.074196e-01 9.938787e-01 6.030769e-01 7.480774e-01
#> 133 2.777752e-01 2.777752e-01 4.476925e-01 2.715538e-01 3.307576e-01
#> 136 1.249720e-01 1.249720e-01 1.984941e-01 1.207105e-01 1.442830e-01
#> 139 5.532948e-02 5.532948e-02 8.667373e-02 5.298321e-02 6.215089e-02
#> 142 2.411342e-02 2.411342e-02 3.729325e-02 2.296599e-02 2.645542e-02
#> 145 1.034852e-02 1.034852e-02 1.581956e-02 9.831370e-03 1.113410e-02
#> 148 4.375208e-03 4.375208e-03 6.618997e-03 4.156731e-03 4.634980e-03
#> 151 1.823169e-03 1.823169e-03 2.732962e-03 1.735960e-03 1.909098e-03
#> 154 7.491839e-04 7.491839e-04 1.114112e-03 7.162094e-04 7.782199e-04
#> 157 3.037546e-04 3.037546e-04 4.486318e-04 2.919726e-04 3.140220e-04
#> 160 1.215851e-04 1.215851e-04 1.785381e-04 1.176416e-04 1.254546e-04
#> 163 4.807482e-05 4.807482e-05 7.025336e-05 4.686357e-05 4.963287e-05
#> 166 1.878860e-05 1.878860e-05 2.734739e-05 1.846396e-05 1.944934e-05
#> 169 7.262219e-06 7.262219e-06 1.053644e-05 7.197883e-06 7.550906e-06
#> 172 2.777796e-06 2.777796e-06 4.019926e-06 2.777563e-06 2.905169e-06
#> 175 1.052055e-06 1.052055e-06 1.519503e-06 1.061444e-06 1.108021e-06
#> 178 3.947605e-07 3.947605e-07 5.693231e-07 4.018919e-07 4.190595e-07
#> 181 1.468323e-07 1.468323e-07 2.115407e-07 1.508342e-07 1.572140e-07
#> 184 5.416594e-08 5.416594e-08 7.798313e-08 5.613893e-08 5.852535e-08
#> 187 1.982920e-08 1.982920e-08 2.853760e-08 2.073203e-08 2.162879e-08
#> 190 7.206668e-09 7.206668e-09 1.037050e-08 7.599649e-09 7.937491e-09
#> 193 2.601144e-09 2.601144e-09 3.743087e-09 2.765836e-09 2.892837e-09
#> 196 9.335531e-10 9.335531e-10 1.343976e-09 1.000888e-09 1.048845e-09
#> 199 3.327576e-10 3.327576e-10 4.791276e-10 3.595214e-10 3.774077e-10
#> 202 1.180723e-10 1.180723e-10 1.701117e-10 1.285493e-10 1.352690e-10
#> 205 4.155729e-11 4.155729e-11 5.986608e-11 4.557605e-11 4.800612e-11
#> 208 1.460911e-11 1.460911e-11 2.106377e-11 1.613482e-11 1.704579e-11
#> 211 5.157226e-12 5.157226e-12 7.468295e-12 5.727153e-12 6.108997e-12
#> 214 1.779774e-12 1.779774e-12 2.564014e-12 1.992140e-12 2.106485e-12
#> 217 6.278150e-13 6.278150e-13 9.124389e-13 7.039988e-13 7.508659e-13
#> 220 2.119321e-13 2.119321e-13 3.052350e-13 2.410383e-13 2.559871e-13
#> 223 7.008164e-14 7.008164e-14 1.014637e-13 8.115655e-14 8.782733e-14
#> 226 2.501264e-14 2.501264e-14 3.584865e-14 2.840912e-14 3.110416e-14
#> 229 6.542960e-15 6.542960e-15 9.681040e-15 8.119004e-15 8.883254e-15
#> 232 3.666384e-15 3.666384e-15 5.430917e-15 4.297971e-15 4.412496e-15
#> 235 8.902731e-16 8.902731e-16 1.339052e-15 1.178210e-15 1.259071e-15
#> 238 1.565757e-16 1.565757e-16 2.245743e-16 2.092305e-16 2.789452e-16
#> year
#> length 6 7 8 9 10
#> 1 8.726139e-56 1.088437e-55 6.946365e-56 7.118816e-56 1.194784e-55
#> 4 1.055419e-15 1.316455e-15 8.401568e-16 8.610146e-16 1.445081e-15
#> 7 7.722357e-02 9.632324e-02 6.147313e-02 6.299927e-02 1.057346e-01
#> 10 3.223713e+04 4.021032e+04 2.566208e+04 2.629917e+04 4.413913e+04
#> 13 3.858259e+06 4.812521e+06 3.071333e+06 3.147582e+06 5.282735e+06
#> 16 8.855695e+06 1.104690e+07 7.050519e+06 7.225354e+06 1.212542e+07
#> 19 1.643775e+06 2.167443e+06 1.437721e+06 1.447954e+06 2.274450e+06
#> 22 8.210192e+05 2.335950e+06 2.101376e+06 1.868429e+06 1.390668e+06
#> 25 1.639777e+06 4.784252e+06 4.352557e+06 3.869553e+06 2.803785e+06
#> 28 1.117642e+06 3.016431e+06 2.974638e+06 2.746897e+06 1.885929e+06
#> 31 7.501914e+05 1.250717e+06 2.014271e+06 2.192633e+06 1.192028e+06
#> 34 8.326937e+05 9.909831e+05 2.191228e+06 2.642299e+06 1.331821e+06
#> 37 7.192547e+05 8.471554e+05 1.699403e+06 2.381196e+06 1.315489e+06
#> 40 5.677744e+05 7.007384e+05 1.026079e+06 1.955461e+06 1.298024e+06
#> 43 5.102268e+05 6.244953e+05 6.983638e+05 1.641679e+06 1.307611e+06
#> 46 4.761000e+05 5.402293e+05 5.665440e+05 1.237506e+06 1.198968e+06
#> 49 4.333830e+05 4.573934e+05 4.849109e+05 8.546625e+05 1.008589e+06
#> 52 3.761822e+05 3.945496e+05 4.121932e+05 6.116120e+05 7.894915e+05
#> 55 3.066554e+05 3.405675e+05 3.424570e+05 4.756060e+05 5.750069e+05
#> 58 2.363321e+05 2.850408e+05 2.808257e+05 3.857830e+05 3.996986e+05
#> 61 1.751244e+05 2.276933e+05 2.284061e+05 3.129590e+05 2.754528e+05
#> 64 1.270072e+05 1.734315e+05 1.821062e+05 2.497665e+05 1.920265e+05
#> 67 9.176141e+04 1.270524e+05 1.403134e+05 1.950771e+05 1.352732e+05
#> 70 6.695404e+04 9.070568e+04 1.039446e+05 1.483808e+05 9.568654e+04
#> 73 4.949837e+04 6.396739e+04 7.439435e+04 1.094115e+05 6.782835e+04
#> 76 3.676384e+04 4.501240e+04 5.200434e+04 7.815633e+04 4.822520e+04
#> 79 2.702616e+04 3.171239e+04 3.593248e+04 5.432629e+04 3.436139e+04
#> 82 1.938116e+04 2.227682e+04 2.474196e+04 3.702715e+04 2.442571e+04
#> 85 1.342279e+04 1.546012e+04 1.700003e+04 2.492675e+04 1.720519e+04
#> 88 8.934459e+03 1.049233e+04 1.159374e+04 1.663691e+04 1.192898e+04
#> 91 5.711567e+03 6.907117e+03 7.778886e+03 1.099714e+04 8.099252e+03
#> 94 3.513553e+03 4.389123e+03 5.090190e+03 7.164762e+03 5.366920e+03
#> 97 2.086573e+03 2.687466e+03 3.227602e+03 4.572275e+03 3.464148e+03
#> 100 1.200376e+03 1.586395e+03 1.976143e+03 2.842041e+03 2.175800e+03
#> 103 6.710127e+02 9.045058e+02 1.167066e+03 1.713900e+03 1.329277e+03
#> 106 3.653530e+02 4.994178e+02 6.653133e+02 1.000690e+03 7.899266e+02
#> 109 1.940875e+02 2.677648e+02 3.667672e+02 5.654069e+02 4.567321e+02
#> 112 1.007111e+02 1.397596e+02 1.959728e+02 3.093508e+02 2.570768e+02
#> 115 5.108489e+01 7.116920e+01 1.017439e+02 1.641204e+02 1.409542e+02
#> 118 2.534661e+01 3.542009e+01 5.144541e+01 8.457726e+01 7.534112e+01
#> 121 1.230934e+01 1.725262e+01 2.538748e+01 4.241747e+01 3.928875e+01
#> 124 5.855263e+00 8.233385e+00 1.224909e+01 2.074189e+01 2.000480e+01
#> 127 2.730291e+00 3.853009e+00 5.786865e+00 9.906649e+00 9.953486e+00
#> 130 1.249159e+00 1.769480e+00 2.680200e+00 4.628828e+00 4.843194e+00
#> 133 5.612993e-01 7.980210e-01 1.218180e+00 2.118822e+00 2.306435e+00
#> 136 2.479553e-01 3.536695e-01 5.438094e-01 9.513392e-01 1.075818e+00
#> 139 1.077913e-01 1.541307e-01 2.386153e-01 4.194365e-01 4.918816e-01
#> 142 4.615707e-02 6.609807e-02 1.029831e-01 1.817626e-01 2.206203e-01
#> 145 1.948611e-02 2.791278e-02 4.374587e-02 7.748634e-02 9.714819e-02
#> 148 8.117124e-03 1.161561e-02 1.830178e-02 3.252145e-02 4.203118e-02
#> 151 3.338845e-03 4.766691e-03 7.546005e-03 1.344800e-02 1.788137e-02
#> 154 1.357074e-03 1.930351e-03 3.068257e-03 5.482645e-03 7.486288e-03
#> 157 5.453711e-04 7.719739e-04 1.231125e-03 2.205247e-03 3.086813e-03
#> 160 2.168236e-04 3.050782e-04 4.877909e-04 8.756697e-04 1.254498e-03
#> 163 8.532387e-05 1.192195e-04 1.909722e-04 3.434895e-04 5.028941e-04
#> 166 3.325003e-05 4.609835e-05 7.392516e-05 1.331820e-04 1.990007e-04
#> 169 1.283707e-05 1.764772e-05 2.831231e-05 5.107385e-05 7.778922e-05
#> 172 4.912218e-06 6.692811e-06 1.073467e-05 1.938342e-05 3.005915e-05
#> 175 1.863819e-06 2.515848e-06 4.031750e-06 7.284358e-06 1.149003e-05
#> 178 7.014885e-07 9.378784e-07 1.500872e-06 2.712230e-06 4.347478e-06
#> 181 2.619934e-07 3.469055e-07 5.540910e-07 1.001087e-06 1.629288e-06
#> 184 9.713369e-08 1.273713e-07 2.029697e-07 3.664815e-07 6.051472e-07
#> 187 3.576501e-08 4.644857e-08 7.381503e-08 1.331394e-07 2.228875e-07
#> 190 1.308179e-08 1.682884e-08 2.666417e-08 4.802187e-08 8.145250e-08
#> 193 4.754460e-09 6.058907e-09 9.568463e-09 1.720240e-08 2.954711e-08
#> 196 1.718957e-09 2.171103e-09 3.416853e-09 6.127338e-09 1.064793e-08
#> 199 6.174067e-10 7.727642e-10 1.211721e-09 2.167677e-09 3.811459e-09
#> 202 2.208204e-10 2.740344e-10 4.280827e-10 7.635437e-10 1.356887e-09
#> 205 7.829574e-11 9.636388e-11 1.499733e-10 2.664138e-10 4.795391e-10
#> 208 2.775551e-11 3.389026e-11 5.254269e-11 9.298874e-11 1.689815e-10
#> 211 9.918424e-12 1.203108e-11 1.852088e-11 3.273155e-11 5.963684e-11
#> 214 3.422797e-12 4.132259e-12 6.354687e-12 1.115027e-11 2.068018e-11
#> 217 1.244350e-12 1.476872e-12 2.260341e-12 3.921959e-12 7.243669e-12
#> 220 4.121980e-13 4.897540e-13 7.478885e-13 1.309873e-12 2.480639e-12
#> 223 1.393635e-13 1.586115e-13 2.459497e-13 4.230634e-13 8.338727e-13
#> 226 4.834824e-14 5.680118e-14 9.120696e-14 1.470013e-13 2.953517e-13
#> 229 1.481448e-14 1.542598e-14 2.186813e-14 3.865526e-14 7.689245e-14
#> 232 7.595671e-15 7.722799e-15 1.155096e-14 2.634132e-14 4.349364e-14
#> 235 1.855540e-15 2.287230e-15 2.583488e-15 3.999327e-15 1.234653e-14
#> 238 5.011045e-16 4.469600e-16 7.357414e-16 6.164695e-16 1.243680e-15
#> year
#> length 11 12 13 14 15
#> 1 1.474546e-55 1.355799e-55 5.282989e-56 2.339030e-56 2.827254e-56
#> 4 1.783450e-15 1.639827e-15 6.389730e-16 2.829036e-16 3.419539e-16
#> 7 1.304926e-01 1.199839e-01 4.675279e-02 2.069967e-02 2.502030e-02
#> 10 5.447440e+04 5.008751e+04 1.951704e+04 8.641119e+03 1.044477e+04
#> 13 6.519698e+06 5.994659e+06 2.335872e+06 1.034201e+06 1.250069e+06
#> 16 1.496597e+07 1.376114e+07 5.363734e+06 2.374191e+06 2.869468e+06
#> 19 2.978481e+06 2.789331e+06 1.287167e+06 4.954546e+05 5.627207e+05
#> 22 3.637134e+06 3.913148e+06 3.769270e+06 8.351981e+05 6.038602e+05
#> 25 7.478843e+06 8.110622e+06 7.900452e+06 1.766174e+06 1.248880e+06
#> 28 4.801711e+06 5.675044e+06 5.638258e+06 1.570733e+06 9.277667e+05
#> 31 2.285115e+06 4.261488e+06 4.594084e+06 2.226039e+06 8.801976e+05
#> 34 2.047727e+06 4.876888e+06 5.602706e+06 3.170621e+06 1.238649e+06
#> 37 1.734967e+06 3.904085e+06 5.140558e+06 3.099889e+06 1.540839e+06
#> 40 1.388442e+06 2.524226e+06 4.357856e+06 2.923584e+06 1.970002e+06
#> 43 1.278714e+06 1.809539e+06 3.754734e+06 2.887931e+06 2.328729e+06
#> 46 1.236789e+06 1.435274e+06 2.878227e+06 2.659083e+06 2.435326e+06
#> 49 1.181700e+06 1.198516e+06 1.998270e+06 2.264815e+06 2.379216e+06
#> 52 1.082340e+06 1.063644e+06 1.403278e+06 1.799654e+06 2.191322e+06
#> 55 9.243738e+05 9.699965e+05 1.062630e+06 1.343724e+06 1.876776e+06
#> 58 7.299052e+05 8.650655e+05 8.680214e+05 9.851060e+05 1.497946e+06
#> 61 5.362000e+05 7.310052e+05 7.412964e+05 7.512000e+05 1.133943e+06
#> 64 3.725852e+05 5.781333e+05 6.342177e+05 6.085654e+05 8.379859e+05
#> 67 2.506102e+05 4.286779e+05 5.249191e+05 5.107996e+05 6.237634e+05
#> 70 1.667355e+05 3.013280e+05 4.127565e+05 4.268773e+05 4.751831e+05
#> 73 1.112370e+05 2.040307e+05 3.072874e+05 3.448537e+05 3.673459e+05
#> 76 7.485528e+04 1.352968e+05 2.178477e+05 2.653979e+05 2.817261e+05
#> 79 5.088374e+04 8.905377e+04 1.485827e+05 1.938878e+05 2.097885e+05
#> 82 3.488523e+04 5.866644e+04 9.858639e+04 1.348791e+05 1.496836e+05
#> 85 2.400305e+04 3.879146e+04 6.424105e+04 8.994111e+04 1.018104e+05
#> 88 1.644637e+04 2.569859e+04 4.137681e+04 5.795619e+04 6.607252e+04
#> 91 1.112528e+04 1.697084e+04 2.642364e+04 3.638222e+04 4.111271e+04
#> 94 7.375823e+03 1.109760e+04 1.673316e+04 2.240716e+04 2.470913e+04
#> 97 4.768828e+03 7.138940e+03 1.048670e+04 1.360928e+04 1.446763e+04
#> 100 2.998996e+03 4.493700e+03 6.483110e+03 8.174317e+03 8.322974e+03
#> 103 1.832906e+03 2.757839e+03 3.939929e+03 4.857684e+03 4.737111e+03
#> 106 1.089011e+03 1.646909e+03 2.346345e+03 2.852001e+03 2.678767e+03
#> 109 6.295609e+02 9.563373e+02 1.366019e+03 1.650141e+03 1.506589e+03
#> 112 3.545180e+02 5.401137e+02 7.762838e+02 9.382562e+02 8.413177e+02
#> 115 1.946790e+02 2.969048e+02 4.302935e+02 5.229447e+02 4.649256e+02
#> 118 1.043572e+02 1.590199e+02 2.326193e+02 2.851626e+02 2.532891e+02
#> 121 5.465541e+01 8.307601e+01 1.226923e+02 1.519508e+02 1.355768e+02
#> 124 2.798880e+01 4.238143e+01 6.317715e+01 7.907472e+01 7.111783e+01
#> 127 1.402390e+01 2.113557e+01 3.178547e+01 4.018596e+01 3.649934e+01
#> 130 6.879471e+00 1.031385e+01 1.563913e+01 1.995086e+01 1.831258e+01
#> 133 3.305993e+00 4.929411e+00 7.532032e+00 9.682021e+00 8.980408e+00
#> 136 1.557286e+00 2.309452e+00 3.554051e+00 4.596547e+00 4.305764e+00
#> 139 7.194840e-01 1.061485e+00 1.644498e+00 2.136723e+00 2.019643e+00
#> 142 3.262403e-01 4.790113e-01 7.468179e-01 9.734831e-01 9.275104e-01
#> 145 1.452806e-01 2.123884e-01 3.331406e-01 4.351047e-01 4.174285e-01
#> 148 6.358173e-02 9.259503e-02 1.460899e-01 1.909694e-01 1.842849e-01
#> 151 2.736662e-02 3.972192e-02 6.302753e-02 8.238526e-02 7.988679e-02
#> 154 1.159285e-02 1.677910e-02 2.677232e-02 3.496636e-02 3.403833e-02
#> 157 4.836803e-03 6.984082e-03 1.120488e-02 1.461341e-02 1.426891e-02
#> 160 1.989048e-03 2.866518e-03 4.623868e-03 6.018986e-03 5.890458e-03
#> 163 8.068040e-04 1.160921e-03 1.882715e-03 2.445231e-03 2.396814e-03
#> 166 3.230272e-04 4.642438e-04 7.569044e-04 9.805751e-04 9.620998e-04
#> 169 1.277511e-04 1.834303e-04 3.006509e-04 3.884453e-04 3.812959e-04
#> 172 4.993939e-05 7.165675e-05 1.180671e-04 1.521166e-04 1.493134e-04
#> 175 1.930919e-05 2.769337e-05 4.586818e-05 5.892720e-05 5.781640e-05
#> 178 7.389360e-06 1.059476e-05 1.763896e-05 2.259589e-05 2.215261e-05
#> 181 2.800533e-06 4.014737e-06 6.718408e-06 8.581940e-06 8.404416e-06
#> 184 1.051773e-06 1.507711e-06 2.535912e-06 3.230262e-06 3.159166e-06
#> 187 3.916572e-07 5.614572e-07 9.491114e-07 1.205693e-06 1.177297e-06
#> 190 1.446851e-07 2.074330e-07 3.524002e-07 4.464848e-07 4.351974e-07
#> 193 5.304935e-08 7.606593e-08 1.298654e-07 1.641189e-07 1.596597e-07
#> 196 1.931933e-08 2.770630e-08 4.752985e-08 5.991870e-08 5.816978e-08
#> 199 6.988132e-09 1.002336e-08 1.727865e-08 2.173207e-08 2.105158e-08
#> 202 2.513207e-09 3.605465e-09 6.244517e-09 7.836080e-09 7.572959e-09
#> 205 8.977454e-10 1.287958e-09 2.241497e-09 2.807556e-09 2.707635e-09
#> 208 3.194598e-10 4.583793e-10 8.013971e-10 1.001679e-09 9.635522e-10
#> 211 1.135480e-10 1.630774e-10 2.862106e-10 3.568091e-10 3.419214e-10
#> 214 3.984764e-11 5.721669e-11 1.009078e-10 1.257064e-10 1.204256e-10
#> 217 1.411487e-11 2.026109e-11 3.586005e-11 4.466014e-11 4.258584e-11
#> 220 4.876916e-12 6.998906e-12 1.244702e-11 1.544984e-11 1.473188e-11
#> 223 1.673234e-12 2.386063e-12 4.289290e-12 5.286053e-12 5.014105e-12
#> 226 5.868266e-13 8.315739e-13 1.514558e-12 1.858336e-12 1.752490e-12
#> 229 1.739688e-13 2.487389e-13 4.595022e-13 5.665728e-13 5.222691e-13
#> 232 8.798730e-14 1.239480e-13 2.080544e-13 2.682603e-13 2.592200e-13
#> 235 2.250140e-14 3.657028e-14 6.465271e-14 7.323905e-14 7.510533e-14
#> 238 5.854095e-15 7.378615e-15 1.744891e-14 2.169063e-14 1.611978e-14
#> year
#> length 16 17 18 19 20
#> 1 1.325041e-56 1.446719e-56 1.543415e-56 8.210998e-57 1.149600e-56
#> 4 1.602625e-16 1.749793e-16 1.866747e-16 9.931130e-17 1.390431e-16
#> 7 1.172619e-02 1.280300e-02 1.365874e-02 7.266474e-03 1.017360e-02
#> 10 4.895121e+03 5.344638e+03 5.701866e+03 3.033403e+03 4.246988e+03
#> 13 5.858663e+05 6.396661e+05 6.824205e+05 3.630490e+05 5.082952e+05
#> 16 1.345027e+06 1.468242e+06 1.566359e+06 8.334254e+05 1.166726e+06
#> 19 2.891863e+05 2.780577e+05 2.943589e+05 1.717278e+05 2.238619e+05
#> 22 5.682435e+05 1.982183e+05 1.857755e+05 2.683139e+05 1.900603e+05
#> 25 1.184307e+06 4.074646e+05 3.751950e+05 5.544469e+05 3.892102e+05
#> 28 8.293370e+05 3.337635e+05 2.537356e+05 3.565797e+05 2.749450e+05
#> 31 6.292435e+05 4.027748e+05 1.659889e+05 1.716898e+05 2.146349e+05
#> 34 7.607530e+05 5.519485e+05 1.985683e+05 1.552960e+05 2.502680e+05
#> 37 7.562003e+05 5.263488e+05 2.313567e+05 1.324019e+05 2.039169e+05
#> 40 7.982160e+05 4.874155e+05 2.814346e+05 1.115104e+05 1.378282e+05
#> 43 9.973746e+05 5.093381e+05 3.291068e+05 1.200906e+05 1.054341e+05
#> 46 1.272739e+06 5.658640e+05 3.571707e+05 1.461460e+05 9.232478e+04
#> 49 1.521569e+06 6.776941e+05 3.954320e+05 1.770953e+05 9.293313e+04
#> 52 1.654170e+06 8.403960e+05 4.692211e+05 2.103837e+05 1.072596e+05
#> 55 1.647726e+06 1.001404e+06 5.856988e+05 2.570440e+05 1.312378e+05
#> 58 1.525107e+06 1.102970e+06 7.306283e+05 3.322369e+05 1.639998e+05
#> 61 1.318841e+06 1.114469e+06 8.664214e+05 4.387471e+05 2.108432e+05
#> 64 1.069951e+06 1.037023e+06 9.494075e+05 5.584383e+05 2.761140e+05
#> 67 8.233688e+05 8.942851e+05 9.528055e+05 6.580978e+05 3.538198e+05
#> 70 6.122085e+05 7.209409e+05 8.773736e+05 7.062879e+05 4.259343e+05
#> 73 4.487458e+05 5.504117e+05 7.467271e+05 6.892549e+05 4.707656e+05
#> 76 3.284062e+05 4.047079e+05 5.938151e+05 6.154310e+05 4.746342e+05
#> 79 2.398650e+05 2.913898e+05 4.472179e+05 5.079409e+05 4.380721e+05
#> 82 1.729696e+05 2.076131e+05 3.236391e+05 3.923619e+05 3.734086e+05
#> 85 1.214886e+05 1.465241e+05 2.279065e+05 2.874943e+05 2.972939e+05
#> 88 8.226763e+04 1.017455e+05 1.573856e+05 2.023978e+05 2.237676e+05
#> 91 5.345259e+04 6.887023e+04 1.067506e+05 1.383185e+05 1.610494e+05
#> 94 3.332888e+04 4.510281e+04 7.088720e+04 9.232814e+04 1.118664e+05
#> 97 2.001877e+04 2.846853e+04 4.584670e+04 6.030109e+04 7.545533e+04
#> 100 1.165387e+04 1.731400e+04 2.874785e+04 3.847439e+04 4.956048e+04
#> 103 6.622204e+03 1.017037e+04 1.743031e+04 2.390827e+04 3.170003e+04
#> 106 3.698202e+03 5.793212e+03 1.021341e+04 1.442730e+04 1.971566e+04
#> 109 2.040544e+03 3.214856e+03 5.790462e+03 8.438453e+03 1.190066e+04
#> 112 1.115792e+03 1.745840e+03 3.183769e+03 4.780990e+03 6.961367e+03
#> 115 6.049859e+02 9.311887e+02 1.702632e+03 2.625287e+03 3.943376e+03
#> 118 3.247936e+02 4.890274e+02 8.883217e+02 1.399020e+03 2.163352e+03
#> 121 1.722071e+02 2.531663e+02 4.534305e+02 7.248721e+02 1.150269e+03
#> 124 8.991586e+01 1.292089e+02 2.269673e+02 3.659263e+02 5.935078e+02
#> 127 4.611780e+01 6.496864e+01 1.116093e+02 1.803584e+02 2.976368e+02
#> 130 2.319170e+01 3.215093e+01 5.398112e+01 8.696724e+01 1.453220e+02
#> 133 1.142146e+01 1.564236e+01 2.569752e+01 4.109879e+01 6.920491e+01
#> 136 5.505623e+00 7.475694e+00 1.204450e+01 1.906458e+01 3.220108e+01
#> 139 2.597655e+00 3.507448e+00 5.558708e+00 8.691840e+00 1.466449e+01
#> 142 1.200066e+00 1.615145e+00 2.526046e+00 3.898901e+00 6.546596e+00
#> 145 5.431881e-01 7.300128e-01 1.130272e+00 1.722234e+00 2.869140e+00
#> 148 2.410817e-01 3.239475e-01 4.979844e-01 7.496648e-01 1.236105e+00
#> 151 1.050118e-01 1.412060e-01 2.160717e-01 3.217530e-01 5.241448e-01
#> 154 4.493504e-02 6.049732e-02 9.234909e-02 1.362327e-01 2.189838e-01
#> 157 1.890716e-02 2.549376e-02 3.889254e-02 5.693071e-02 9.023248e-02
#> 160 7.830309e-03 1.057505e-02 1.614669e-02 2.349155e-02 3.670179e-02
#> 163 3.194857e-03 4.321465e-03 6.611484e-03 9.575637e-03 1.474795e-02
#> 166 1.285399e-03 1.741136e-03 2.671472e-03 3.857512e-03 5.858828e-03
#> 169 5.104070e-04 6.922103e-04 1.065840e-03 1.536479e-03 2.302573e-03
#> 172 2.001924e-04 2.717635e-04 4.201331e-04 6.053777e-04 8.957887e-04
#> 175 7.761993e-05 1.054448e-04 1.637203e-04 2.360534e-04 3.451712e-04
#> 178 2.977271e-05 4.046335e-05 6.311137e-05 9.113501e-05 1.318052e-04
#> 181 1.130548e-05 1.536771e-05 2.408060e-05 3.485447e-05 4.990195e-05
#> 184 4.252777e-06 5.780395e-06 9.099968e-06 1.321103e-05 1.874110e-05
#> 187 1.585817e-06 2.154751e-06 3.407889e-06 4.965128e-06 6.985041e-06
#> 190 5.865084e-07 7.965026e-07 1.265458e-06 1.851144e-06 2.584764e-06
#> 193 2.152645e-07 2.921065e-07 4.661538e-07 6.849361e-07 9.500028e-07
#> 196 7.846070e-08 1.063783e-07 1.704900e-07 2.516682e-07 3.469755e-07
#> 199 2.840392e-08 3.846342e-08 6.189867e-08 9.183355e-08 1.259587e-07
#> 202 1.022151e-08 1.382512e-08 2.233793e-08 3.331237e-08 4.547465e-08
#> 205 3.655719e-09 4.936325e-09 8.001514e-09 1.199264e-08 1.631338e-08
#> 208 1.301384e-09 1.754827e-09 2.854829e-09 4.302541e-09 5.831840e-09
#> 211 4.615908e-10 6.218580e-10 1.016699e-09 1.545333e-09 2.086942e-09
#> 214 1.628801e-10 2.185733e-10 3.575546e-10 5.443519e-10 7.340482e-10
#> 217 5.718679e-11 7.666992e-11 1.263809e-10 1.943823e-10 2.649356e-10
#> 220 1.997870e-11 2.678438e-11 4.405582e-11 6.754033e-11 9.007994e-11
#> 223 6.810064e-12 9.224836e-12 1.527306e-11 2.344752e-11 3.077104e-11
#> 226 2.416408e-12 3.239222e-12 5.249627e-12 8.188494e-12 1.091554e-11
#> 229 6.993810e-13 9.351851e-13 1.611434e-12 2.585083e-12 3.401431e-12
#> 232 3.367783e-13 4.948483e-13 8.390176e-13 1.143361e-12 1.456649e-12
#> 235 9.718800e-14 1.185638e-13 2.299840e-13 3.838819e-13 4.402116e-13
#> 238 2.403239e-14 2.902990e-14 4.463551e-14 9.627973e-14 1.520512e-13
#>
#> $sim_length
#> function (age = NULL, length_age_key = FALSE)
#> {
#> pred_length <- Linf - (Linf - L0) * exp(-K * age)
#> if (length_age_key) {
#> breaks <- seq(0, ceiling(max(pred_length)) * 10, length_group)
#> lak <- matrix(NA, ncol = length(pred_length), nrow = length(breaks) -
#> 1, dimnames = list(length = group_lengths(breaks,
#> length_group)[-length(breaks)], age = age))
#> for (i in seq_along(breaks)[-1]) {
#> for (j in seq_along(pred_length)) {
#> lak[i - 1, j] <- stats::pnorm(log(breaks[i]),
#> log(pred_length[j]), sd = log_sd) - stats::pnorm(log(breaks[i -
#> 1]), log(pred_length[j]), sd = log_sd)
#> }
#> }
#> lak <- lak[rowSums(lak) > 0, ]
#> if (plot)
#> graphics::image(x = as.numeric(colnames(lak)), y = as.numeric(rownames(lak)),
#> z = t(lak), xlab = "Age", ylab = "Length", main = "P(Length | Age)",
#> col = viridis::viridis(100))
#> return(lak)
#> }
#> else {
#> log_length <- stats::rnorm(length(age), log(pred_length),
#> sd = log_sd)
#> length <- round(exp(log_length), digits)
#> if (plot)
#> plot(age, length)
#> return(length)
#> }
#> }
#> <bytecode: 0x55583fde70f8>
#> <environment: 0x55584aa08110>
#>