load(".RData")

In this document, we present data, code and some results not provided in the main text of the manuscript “Within- and among-population variation in vital traits, life histories, and population dynamics of a species living in a variable environment” by Simone Vincenzi, Marc Mangel, Dusan Jesensek, J Carlos Garza, Alain J Crivelli.

The tag-recapture data is stored in access files that can be exported as .csv and then read into R. For instance, to read into R the Huda datafile:

huda.df = read.csv("huda_2014_complete.csv",header=T, 
                    stringsAsFactors = FALSE,na.strings ="")
colnames(huda.df)
##  [1] "Num"      "Mark"     "Date"     "Year"     "Month"    "Run"     
##  [7] "Sector"   "Length"   "Weight"   "Age"      "Cohort"   "Sex"     
## [13] "adc"      "Tag_loss" "Fin"

Columns of the access (then .csv) datasets are the following: Num = consecutive number of sampled fish Mark = fish ID with Carlin tag. Tag was assigned if fish > 110 mm at the time of sampling Date = date of sampling (M/D/YY) Year = year of sampling Month = month of sampling Run = in which run (first, second, or third) the fish was sampled Sector = every stream is divided in sector, it is the sector in which the fish was sampled Length = fish total length (in mm) Weight = fish weight (in g) Age = age of fish at the time of sampling (0 in the first year of life, 1 in the second etc.) Cohort = year of birth, e.g. COO = born in year 2000 Sex = sex if indentified from morphology (rarely happened) adc = if the adipose fin was cut (thus whether the fish has been already sampled) Tag_loss = 1 for tag lost, NA otherwise Fin = fish ID if the fish was smaller that 110 mm at the time of sampling

head(huda.df)
##   Num Mark    Date Year Month Run Sector Length Weight Age Cohort  Sex adc
## 1   3 6824 6/24/02 2002     6   1      1    164   38.8   2    C00 <NA>  NA
## 2   4 6806 6/24/02 2002     6   1      1    263  148.1   3    C99    f   1
## 3   5 6807 6/24/02 2002     6   1      1    186   54.1   2    C00 <NA>   1
## 4   6 6827 6/24/02 2002     6   1      1    183   56.2   2    C00 <NA>   1
## 5   7 6800 6/24/02 2002     6   1      1    187   58.6   2    C00 <NA>  NA
## 6   8 6096 6/24/02 2002     6   1      1    139   25.6   1    C01 <NA>  NA
##   Tag_loss  Fin
## 1       NA <NA>
## 2       NA <NA>
## 3       NA <NA>
## 4       NA <NA>
## 5       NA <NA>
## 6       NA <NA>
library(dplyr, quietly = T)
## 
## Attaching package: 'dplyr'
## 
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## 
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(ggplot2, quietly = T)
library(grid, quietly = T)
library(marked, quietly = T)
## This is marked 1.1.8
library(mgcv, quietly = T)
## 
## Attaching package: 'nlme'
## 
## The following object is masked from 'package:lme4':
## 
##     lmList
## 
## The following object is masked from 'package:dplyr':
## 
##     collapse
## 
## This is mgcv 1.8-7. For overview type 'help("mgcv-package")'.
library(MuMIn, quietly = T)

Parts about code and data would be completed before manuscript revision/manuscript publication.

1. Results presented in Online Code and Results

a. Sex-specific growth

“Sex-specific growth trajectories were different only in Trebu, although predicted length-at-age started to differ only after age 2+. In Zadla, Sve, and Zak (using dataset DataS for the latter), sex-specific 95% CI of k and largely overlapped and pointed to no difference in the mean growth trajectories of males and females see (see Online Code and Results).”

Here are these results. In trebu_Linf_sex_k_sex_s.synth$coh.par there are the model fitting results for males and females when Sex is used as predictor of k and L_inf, along with their 95% confidence intervals, number of Samples in the dataset, expected and observed length at age 1, 2, and 3 in September.

trebu_Linf_sex_k_sex_s.synth$coh.par
##   Cohort Sex   linf linf_lcl linf_ucl       k     k_lcl     k_ucl      t0
## 1      0   M 326.40 309.4342 343.3658 0.23903 0.2110255 0.2670345 -1.1448
## 2      0   F 279.79 267.4928 292.0872 0.29213 0.2595842 0.3246758 -1.1448
##      t0_lcl    t0_ucl Samples    expL1    expL2    expL3    obsL1
## 1 -1.282171 -1.007429     296 130.9212 172.4817 205.2061 133.5326
## 2 -1.282171 -1.007429     279 130.2627 168.1422 196.4258 130.5506
##   obsL1_lcl obsL1_ucl    obsL2 obsL2_lcl obsL2_ucl    obsL3 obsL3_lcl
## 1       115   154.725 167.7564   139.550   200.225 207.1957    163.25
## 2       116   153.600 166.6389   140.325   200.450 197.5294    168.25
##   obsL3_ucl
## 1    251.25
## 2    230.00

It can be seen that both expected and observed mean size of males and females start to diverge after age 2.

In Zadla, Sve, and Zak, we found no differences in vBGF’s parameters, and expected and observed mean size of males and females

zadla_Linf_sex_k_sex_s.synth$coh.par
##   Cohort Sex   linf linf_lcl linf_ucl       k     k_lcl     k_ucl       t0
## 1      0   M 362.49 297.9452 427.0348 0.28433 0.1762595 0.3924005 -0.93602
## 2      0   F 356.71 306.7418 406.6782 0.29766 0.1979822 0.3973378 -0.93602
##      t0_lcl     t0_ucl Samples    expL1    expL2    expL3    obsL1
## 1 -1.269553 -0.6024868     133 153.4494 205.1832 244.1137 158.9200
## 2 -1.269553 -0.6024868     153 156.2434 207.8528 246.1755 158.9589
##   obsL1_lcl obsL1_ucl    obsL2 obsL2_lcl obsL2_ucl  obsL3 obsL3_lcl
## 1     132.0    195.65 203.0882   148.475     256.1 239.00   167.875
## 2     131.8    197.20 205.6585   156.000     248.0 258.55   209.900
##   obsL3_ucl
## 1   337.000
## 2   334.075
sve_Linf_sex_k_sex_s.synth$coh.par
##   Cohort Sex   linf linf_lcl linf_ucl       k     k_lcl     k_ucl     t0
## 1      0   M 332.10 305.2206 358.9794 0.31528 0.2498787 0.3806813 -0.669
## 2      0   F 311.14 275.0780 347.2020 0.31582 0.2342487 0.3973913 -0.669
##       t0_lcl     t0_ucl Samples    expL1    expL2    expL3    obsL1
## 1 -0.8801312 -0.4578688     105 135.8805 188.9413 227.6536 134.9762
## 2 -0.8801312 -0.4578688     100 127.4702 177.2097 213.4793 129.9545
##   obsL1_lcl obsL1_ucl    obsL2 obsL2_lcl obsL2_ucl    obsL3 obsL3_lcl
## 1   115.025    159.00 189.0357   154.025    236.00 223.1765   196.800
## 2   115.000    159.85 174.3824   150.125    206.35 222.1667   197.375
##   obsL3_ucl
## 1   253.600
## 2   256.475
zak_Linf_sex_k_sex_s_sex.synth$coh.par
##   Cohort Sex   linf linf_lcl linf_ucl       k     k_lcl     k_ucl       t0
## 1      0   M 304.78 293.2917 316.2683 0.37983 0.3455143 0.4141457 -0.38944
## 2      0   F 295.92 285.1014 306.7386 0.39858 0.3635783 0.4335817 -0.38944
##      t0_lcl    t0_ucl Samples    expL1    expL2    expL3    obsL1
## 1 -0.467889 -0.310991     833 124.9811 181.8015 220.6655 127.4091
## 2 -0.467889 -0.310991     730 125.8371 181.7480 219.2795 127.9727
##   obsL1_lcl obsL1_ucl    obsL2 obsL2_lcl obsL2_ucl    obsL3 obsL3_lcl
## 1    107.95       154 182.4141   138.800     249.6 220.6667       174
## 2    113.00       159 180.9680   142.225     243.1 222.3333       179
##   obsL3_ucl
## 1    286.25
## 2    301.35

b. Complete list of survival models for each population

Huda

data.models.huda.a.recmod
##                                     model npar      AIC  DeltaAIC
## 8              Phi(~Coh_n + time)p(~time)   65 2826.404   0.00000
## 4               Phi(~Coh_n + Age)p(~time)   42 2849.536  23.13216
## 1                       Phi(~Age)p(~time)   27 2852.972  26.56788
## 14             Phi(~Season + Age)p(~time)   28 2854.283  27.87867
## 2                   Phi(~bs(Age))p(~time)   29 2855.320  28.91540
## 15             Phi(~Season * Age)p(~time)   29 2856.214  29.81012
## 21                     Phi(~time)p(~time)   50 2861.661  35.25670
## 5               Phi(~Coh_n * Age)p(~time)   57 2863.270  36.86571
## 3                     Phi(~Coh_n)p(~time)   41 2873.629  47.22463
## 6            Phi(~Coh_n + Season)p(~time)   42 2874.672  48.26819
## 18 Phi(~bs(Temperature) * Season)p(~time)   33 2885.391  58.98639
## 10                  Phi(~Density)p(~time)   27 2888.315  61.91083
## 11         Phi(~Density + Season)p(~time)   28 2890.018  63.61375
## 12         Phi(~Density * Season)p(~time)   29 2891.713  65.30859
## 19          Phi(~bs(Temperature))p(~time)   29 2892.330  65.92588
## 7            Phi(~Coh_n * Season)p(~time)   57 2893.480  67.07615
## 20                        Phi(~1)p(~time)   26 2895.969  69.56502
## 17     Phi(~Temperature * Season)p(~time)   29 2896.514  70.11022
## 16              Phi(~Temperature)p(~time)   27 2896.635  70.23042
## 13                   Phi(~Season)p(~time)   27 2897.584  71.17953
## 9              Phi(~Coh_n * time)p(~time)  425 3447.466 621.06211
##           weight  neg2lnl convergence
## 8   9.999870e-01 2696.404           0
## 4   9.482233e-06 2765.536           0
## 1   1.701577e-06 2798.972           0
## 14  8.835216e-07 2798.283           0
## 2   5.261319e-07 2797.320           0
## 15  3.363636e-07 2798.214           0
## 21  2.208506e-08 2761.661           0
## 5   9.878870e-09 2749.270           0
## 3   5.562835e-11 2791.629           0
## 6   3.301340e-11 2790.672           0
## 18  1.553323e-13 2819.391           0
## 10  3.599393e-14 2834.315           0
## 11  1.536189e-14 2834.018           0
## 12  6.582856e-15 2833.713           0
## 19  4.834733e-15 2834.330           0
## 7   2.720151e-15 2779.480           0
## 20  7.836872e-16 2843.969           0
## 17  5.966976e-16 2838.514           0
## 16  5.618907e-16 2842.635           0
## 13  3.495871e-16 2843.584           0
## 9  1.374266e-135 2597.466           0

Lipovesck

data.models.lipo.a.recmod
##                                      model npar      AIC  DeltaAIC
## 29                         Phi(~time)p(~1)   17 1351.489   0.00000
## 10                 Phi(~Coh_n + time)p(~1)   30 1361.404   9.91577
## 26     Phi(~bs(Temperature) * Season)p(~1)    9 1379.757  28.26833
## 24 Phi(~Temperature * Season * Flood)p(~1)    7 1386.432  34.94282
## 18               Phi(~Flood + Season)p(~1)    4 1399.588  48.09961
## 19               Phi(~Flood * Season)p(~1)    4 1399.588  48.09961
## 14              Phi(~Density * Flood)p(~1)    5 1402.633  51.14421
## 13              Phi(~Density + Flood)p(~1)    4 1408.691  57.20240
## 9            Phi(~Coh.pflood + Flood)p(~1)    4 1412.439  60.95039
## 15                        Phi(~Flood)p(~1)    3 1412.593  61.10434
## 16                  Phi(~Flood + Age)p(~1)    4 1414.248  62.75923
## 17                  Phi(~Flood * Age)p(~1)    5 1416.155  64.66583
## 7                Phi(~Coh_n * Season)p(~1)   29 1435.049  83.56046
## 6                Phi(~Coh_n + Season)p(~1)   16 1454.423 102.93453
## 8                    Phi(~Coh.pflood)p(~1)    3 1456.820 105.33096
## 5                   Phi(~Coh_n * Age)p(~1)   29 1458.743 107.25397
## 4                   Phi(~Coh_n + Age)p(~1)   16 1460.608 109.11916
## 25         Phi(~Temperature * Season)p(~1)    5 1461.630 110.14144
## 3                         Phi(~Coh_n)p(~1)   15 1463.653 112.16478
## 27              Phi(~bs(Temperature))p(~1)    5 1464.149 112.66055
## 22                 Phi(~Season * Age)p(~1)    5 1471.784 120.29543
## 21                 Phi(~Season + Age)p(~1)    4 1471.828 120.33924
## 20                       Phi(~Season)p(~1)    3 1480.199 128.71010
## 23                  Phi(~Temperature)p(~1)    3 1482.952 131.46333
## 12                      Phi(~Density)p(~1)    3 1482.964 131.47537
## 2                       Phi(~bs(Age))p(~1)    5 1486.803 135.31385
## 1                           Phi(~Age)p(~1)    3 1487.291 135.80190
## 28                            Phi(~1)p(~1)    2 1495.270 143.78121
## 11                 Phi(~Coh_n * time)p(~1)  225 1718.038 366.54932
##          weight  neg2lnl convergence
## 29 9.930205e-01 1317.489           0
## 10 6.978727e-03 1301.404           0
## 26 7.220523e-07 1361.757           0
## 24 2.565796e-08 1372.432           0
## 18 3.566646e-11 1391.588           0
## 19 3.566646e-11 1391.588           0
## 14 7.782768e-12 1392.633           0
## 13 3.763700e-13 1400.691           0
## 9  5.777618e-14 1404.439           0
## 15 5.349576e-14 1406.593           0
## 16 2.338644e-14 1406.248           0
## 17 9.014705e-15 1406.155           0
## 7  7.112704e-19 1377.049           0
## 6  4.415789e-23 1422.423           0
## 8  1.332391e-23 1450.820           0
## 5  5.093951e-24 1400.743           0
## 4  2.004630e-24 1428.608           0
## 25 1.202399e-24 1451.630           0
## 3  4.372057e-25 1433.653           0
## 27 3.412165e-25 1454.149           0
## 22 7.501319e-27 1461.784           0
## 21 7.338784e-27 1463.828           0
## 20 1.116643e-28 1474.199           0
## 23 2.818768e-29 1476.952           0
## 12 2.801840e-29 1476.964           0
## 2  4.110819e-30 1476.803           0
## 1  3.220697e-30 1481.291           0
## 28 5.960269e-32 1491.270           0
## 11 2.522232e-80 1268.038           0

Lower Idrijca

data.models.loidri.a.recmod
##                                  model npar      AIC    DeltaAIC
## 13             Phi(~Season + Age)p(~1)    4 2820.883   0.0000000
## 2                   Phi(~bs(Age))p(~1)    5 2821.036   0.1534059
## 14             Phi(~Season * Age)p(~1)    5 2821.426   0.5434386
## 1                       Phi(~Age)p(~1)    3 2821.631   0.7481001
## 4               Phi(~Coh_n + Age)p(~1)   20 2821.775   0.8928380
## 3                     Phi(~Coh_n)p(~1)   19 2822.170   1.2876336
## 6            Phi(~Coh_n + Season)p(~1)   20 2823.290   2.4075540
## 19                        Phi(~1)p(~1)    2 2825.358   4.4754259
## 12                   Phi(~Season)p(~1)    3 2825.436   4.5529274
## 16     Phi(~Temperature * Season)p(~1)    5 2826.417   5.5341842
## 15              Phi(~Temperature)p(~1)    3 2826.621   5.7382682
## 10                  Phi(~Density)p(~1)    3 2826.710   5.8278226
## 11         Phi(~Density + Season)p(~1)    4 2826.823   5.9403215
## 18          Phi(~bs(Temperature))p(~1)    5 2827.599   6.7161956
## 17 Phi(~bs(Temperature) * Season)p(~1)    9 2830.204   9.3211913
## 5               Phi(~Coh_n * Age)p(~1)   37 2836.954  16.0714034
## 20                     Phi(~time)p(~1)   22 2840.893  20.0104239
## 7            Phi(~Coh_n * Season)p(~1)   37 2844.318  23.4356740
## 8              Phi(~Coh_n + time)p(~1)   39 2846.290  25.4074371
## 9              Phi(~Coh_n * time)p(~1)  379 3356.746 535.8631512
##           weight  neg2lnl convergence
## 13  1.879496e-01 2812.883           0
## 2   1.740723e-01 2811.036           0
## 14  1.432304e-01 2811.426           0
## 1   1.292985e-01 2815.631           0
## 4   1.202719e-01 2781.775           0
## 3   9.872686e-02 2784.170           0
## 6   5.639592e-02 2783.290           0
## 19  2.005465e-02 2821.358           0
## 12  1.929238e-02 2819.436           0
## 16  1.181160e-02 2816.417           0
## 15  1.066577e-02 2820.621           0
## 10  1.019872e-02 2820.710           0
## 11  9.640887e-03 2818.823           0
## 18  6.540908e-03 2817.599           0
## 17  1.778158e-03 2812.204           0
## 5   6.083878e-05 2762.954           0
## 20  8.488541e-06 2796.893           0
## 7   1.531262e-06 2770.318           0
## 8   5.713294e-07 2768.290           0
## 9  8.181569e-118 2598.746           0

Upper Idrijca

data.models.uppidri.a.recmod
##                                    model npar      AIC   DeltaAIC
## 17 Phi(~bs(Temperature) * Season)p(~Age)   10 2487.688   0.000000
## 16     Phi(~Temperature * Season)p(~Age)    6 2492.640   4.952231
## 18          Phi(~bs(Temperature))p(~Age)    6 2495.553   7.865235
## 1                       Phi(~Age)p(~Age)    4 2495.560   7.872389
## 2                   Phi(~bs(Age))p(~Age)    6 2496.365   8.677348
## 13             Phi(~Season + Age)p(~Age)    5 2496.759   9.070927
## 19                        Phi(~1)p(~Age)    3 2497.849  10.160979
## 14             Phi(~Season * Age)p(~Age)    6 2497.905  10.216727
## 20                     Phi(~time)p(~Age)   23 2497.969  10.281507
## 10                  Phi(~Density)p(~Age)    4 2498.770  11.082162
## 12                   Phi(~Season)p(~Age)    4 2499.546  11.857730
## 15              Phi(~Temperature)p(~Age)    4 2499.594  11.906229
## 11         Phi(~Density + Season)p(~Age)    5 2500.459  12.770869
## 4               Phi(~Coh_n + Age)p(~Age)   20 2513.570  25.881887
## 8              Phi(~Coh_n + time)p(~Age)   39 2514.926  27.238516
## 3                     Phi(~Coh_n)p(~Age)   19 2518.020  30.332348
## 6            Phi(~Coh_n + Season)p(~Age)   20 2519.781  32.092936
## 5               Phi(~Coh_n * Age)p(~Age)   36 2520.721  33.032734
## 7            Phi(~Coh_n * Season)p(~Age)   36 2527.197  39.508722
## 9              Phi(~Coh_n * time)p(~Age)  359 3013.199 525.511367
##           weight  neg2lnl convergence
## 17  8.503783e-01 2467.688           0
## 16  7.149058e-02 2480.640           0
## 18  1.666089e-02 2483.553           0
## 1   1.660140e-02 2487.560           0
## 2   1.110069e-02 2484.365           0
## 13  9.117702e-03 2486.759           0
## 19  5.286686e-03 2491.849           0
## 14  5.141362e-03 2485.905           0
## 20  4.977500e-03 2451.969           0
## 10  3.335426e-03 2490.770           0
## 12  2.263283e-03 2491.546           0
## 15  2.209059e-03 2491.594           0
## 11  1.433683e-03 2490.459           0
## 4   2.039069e-06 2473.570           0
## 8   1.034770e-06 2436.926           0
## 3   2.203061e-07 2480.020           0
## 6   9.135233e-08 2479.781           0
## 5   5.710118e-08 2448.721           0
## 7   2.240796e-09 2455.197           0
## 9  6.550414e-115 2295.199           0

Gacnik

data.models.gat.a.recmod
##                                model npar      AIC   DeltaAIC       weight
## 9         Phi(~Coh_n + time)p(~time)   45 18691.53   0.000000 9.883131e-01
## 16                Phi(~time)p(~time)   32 18700.40   8.875062 1.168690e-02
## 5          Phi(~Coh_n * Age)p(~time)   44 18828.41 136.886334 1.863823e-30
## 7  Phi(~Coh_n * Temperature)p(~time)   44 18867.89 176.365363 4.984742e-39
## 4          Phi(~Coh_n + Age)p(~time)   31 18886.26 194.729018 5.128917e-43
## 6  Phi(~Coh_n + Temperature)p(~time)   31 18888.00 196.472970 2.144526e-43
## 12       Phi(~Density + Age)p(~time)   19 18906.09 214.560441 2.533301e-47
## 14     Phi(~bs(Temperature))p(~time)   20 18914.33 222.799947 4.116241e-49
## 3                Phi(~Coh_n)p(~time)   30 18937.61 246.083136 3.619267e-54
## 13         Phi(~Temperature)p(~time)   18 18948.10 256.577822 1.904270e-56
## 11             Phi(~Density)p(~time)   18 18952.56 261.028907 2.056779e-57
## 8                Phi(~Coh.p)p(~time)   18 18976.48 284.952949 1.312647e-62
## 10        Phi(~Coh_n * time)p(~time)  240 18976.80 285.268508 1.121050e-62
## 2              Phi(~bs(Age))p(~time)   20 18978.12 286.589565 5.791102e-63
## 1                  Phi(~Age)p(~time)   18 18980.73 289.202869 1.567795e-63
## 15                   Phi(~1)p(~time)   17 19024.46 332.937564 4.993685e-73
##     neg2lnl convergence
## 9  18601.53           0
## 16 18636.40           0
## 5  18740.41           0
## 7  18779.89           0
## 4  18824.26           0
## 6  18826.00           0
## 12 18868.09           0
## 14 18874.33           0
## 3  18877.61           0
## 13 18912.10           0
## 11 18916.56           0
## 8  18940.48           0
## 10 18496.80           0
## 2  18938.12           0
## 1  18944.73           0
## 15 18990.46           0

Zakojska

data.models.zak.a.recmod
##                                   model npar      AIC   DeltaAIC
## 11            Phi(~Coh_n + time)p(~Age)   33 4695.403   0.000000
## 23                    Phi(~time)p(~Age)   20 4698.754   3.350781
## 20 Phi(~bs(Temperature) * Flood)p(~Age)   10 4784.002  88.599217
## 6            Phi(~Coh_n + Flood)p(~Age)   17 4786.112  90.708677
## 10      Phi(~Coh.pflood + Flood)p(~Age)    6 4791.825  96.421553
## 4              Phi(~Coh_n + Age)p(~Age)   17 4797.331 101.927971
## 5              Phi(~Coh_n * Age)p(~Age)   30 4797.365 101.962186
## 7            Phi(~Coh_n * Flood)p(~Age)   30 4802.581 107.177931
## 17             Phi(~Flood * Age)p(~Age)    6 4806.678 111.274620
## 16             Phi(~Flood + Age)p(~Age)    5 4811.301 115.897918
## 14         Phi(~Density + Flood)p(~Age)    5 4846.285 150.882422
## 15                   Phi(~Flood)p(~Age)    4 4847.078 151.674992
## 3                    Phi(~Coh_n)p(~Age)   16 4850.046 154.642658
## 19     Phi(~Temperature * Flood)p(~Age)    6 4850.126 154.723351
## 9               Phi(~Coh.pflood)p(~Age)    5 4966.077 270.673526
## 1                      Phi(~Age)p(~Age)    4 5024.150 328.746997
## 2                  Phi(~bs(Age))p(~Age)    6 5025.453 330.049678
## 21         Phi(~bs(Temperature))p(~Age)    6 5040.190 344.787432
## 8                    Phi(~Coh.p)p(~Age)    4 5040.938 345.534786
## 18             Phi(~Temperature)p(~Age)    4 5044.503 349.100169
## 22                       Phi(~1)p(~Age)    3 5061.126 365.722862
## 13                 Phi(~Density)p(~Age)    4 5063.105 367.701640
## 12            Phi(~Coh_n * time)p(~Age)  254 5067.162 371.758783
##          weight  neg2lnl convergence
## 11 8.422932e-01 4629.403           0
## 23 1.577068e-01 4658.754           0
## 20 4.857220e-20 4764.002           0
## 6  1.691704e-20 4752.112           0
## 10 9.722751e-22 4779.825           0
## 4  6.195632e-23 4763.331           0
## 5  6.090541e-23 4737.365           0
## 7  4.488190e-24 4742.581           0
## 17 5.787440e-25 4794.678           0
## 16 5.735220e-26 4801.301           0
## 14 1.451315e-33 4836.285           0
## 15 9.764665e-34 4839.078           0
## 3  2.214302e-34 4818.046           0
## 19 2.126741e-34 4838.126           0
## 9  1.410762e-59 4956.077           0
## 1  3.459075e-72 5016.150           0
## 2  1.803376e-72 5013.453           0
## 21 1.137166e-75 5028.190           0
## 8  7.825966e-76 5032.938           0
## 18 1.316208e-76 5036.503           0
## 22 3.234096e-80 5055.126           0
## 13 1.202449e-80 5055.105           0
## 12 1.581500e-81 4559.162           0

Zadla

data.models.zadla.a.recmod
##                                 model npar      AIC   DeltaAIC
## 13             Phi(~Flood + Age)p(~1)    4 313.6529   0.000000
## 12                   Phi(~Flood)p(~1)    3 314.7111   1.058162
## 14             Phi(~Flood * Age)p(~1)    5 315.1574   1.504465
## 18             Phi(~Flood + Sex)p(~1)    4 315.9233   2.270350
## 11         Phi(~Density + Flood)p(~1)    4 316.1743   2.521354
## 19             Phi(~Flood * Sex)p(~1)    5 317.1742   3.521270
## 21     Phi(~Temperature * Flood)p(~1)    5 317.4471   3.794156
## 20             Phi(~Temperature)p(~1)    3 318.6557   5.002820
## 1                      Phi(~Age)p(~1)    3 320.9758   7.322895
## 23         Phi(~bs(Temperature))p(~1)    5 321.9438   8.290874
## 24                       Phi(~1)p(~1)    2 321.9743   8.321401
## 16               Phi(~Sex + Age)p(~1)    4 322.2095   8.556582
## 15                     Phi(~Sex)p(~1)    3 323.4962   9.843286
## 17               Phi(~Sex * Age)p(~1)    5 323.8645  10.211575
## 10                 Phi(~Density)p(~1)    3 323.9493  10.296338
## 25                    Phi(~time)p(~1)    9 324.7156  11.062643
## 2                  Phi(~bs(Age))p(~1)    5 324.7344  11.081454
## 22 Phi(~bs(Temperature) * Flood)p(~1)    9 325.2793  11.626416
## 6            Phi(~Coh_n + Flood)p(~1)   17 336.1160  22.463063
## 4              Phi(~Coh_n + Age)p(~1)   17 339.4685  25.815619
## 8             Phi(~Coh_n + time)p(~1)   23 342.4291  28.776187
## 3                    Phi(~Coh_n)p(~1)   16 343.8174  30.164461
## 7            Phi(~Coh_n * Flood)p(~1)   31 351.1939  37.541001
## 5              Phi(~Coh_n * Age)p(~1)   31 353.4777  39.824829
## 9             Phi(~Coh_n * time)p(~1)  121 520.9746 207.321647
##          weight  neg2lnl convergence
## 13 3.154334e-01 305.6529           0
## 12 1.858364e-01 308.7111           0
## 14 1.486680e-01 305.1574           0
## 18 1.013695e-01 307.9233           0
## 11 8.941340e-02 308.1743           0
## 19 5.423426e-02 307.1742           0
## 21 4.731699e-02 307.4471           0
## 20 2.585587e-02 312.6557           0
## 1  8.105154e-03 314.9758           0
## 23 4.995367e-03 311.9438           0
## 24 4.919698e-03 317.9743           0
## 16 4.373908e-03 314.2095           0
## 15 2.298611e-03 317.4962           0
## 17 1.912019e-03 313.8645           0
## 10 1.832678e-03 317.9493           0
## 25 1.249353e-03 306.7156           0
## 2  1.237658e-03 314.7344           0
## 22 9.424613e-04 307.2793           0
## 6  4.179415e-06 302.1160           0
## 4  7.818389e-07 305.4685           0
## 8  1.779255e-07 296.4291           0
## 3  8.887473e-08 311.8174           0
## 7  2.223222e-09 289.1939           0
## 5  7.096691e-10 291.4777           0
## 9  3.017061e-46 278.9746           0

Trebu

data.models.trebu.a.recmod
##                               model npar      AIC   DeltaAIC       weight
## 15       Phi(~bs(Temperature))p(~1)    5 830.5885   0.000000 6.002411e-01
## 5            Phi(~Coh_n * Age)p(~1)   27 833.3705   2.782016 1.493546e-01
## 17                  Phi(~time)p(~1)    9 833.5520   2.963444 1.364024e-01
## 9  Phi(~Density + Temperature)p(~1)    4 836.4494   5.860878 3.203702e-02
## 6           Phi(~Coh_n + time)p(~1)   21 836.6954   6.106824 2.832994e-02
## 8                Phi(~Density)p(~1)    3 837.3551   6.766611 2.036924e-02
## 10 Phi(~Density * Temperature)p(~1)    5 837.6262   7.037715 1.778710e-02
## 4            Phi(~Coh_n + Age)p(~1)   15 839.2944   8.705869 7.724497e-03
## 2                Phi(~bs(Age))p(~1)    5 841.2988  10.710306 2.835386e-03
## 3                  Phi(~Coh_n)p(~1)   14 842.1336  11.545091 1.867846e-03
## 16                     Phi(~1)p(~1)    2 843.2127  12.624218 1.088959e-03
## 11                   Phi(~Sex)p(~1)    3 844.1358  13.547303 6.863824e-04
## 1                    Phi(~Age)p(~1)    3 845.0831  14.494619 4.274243e-04
## 14           Phi(~Temperature)p(~1)    3 845.1562  14.567686 4.120907e-04
## 12             Phi(~Sex + Age)p(~1)    4 845.9592  15.370637 2.758255e-04
## 13             Phi(~Sex * Age)p(~1)    5 847.0450  16.456471 1.602686e-04
## 7           Phi(~Coh_n * time)p(~1)  105 961.7446 131.156046 1.986791e-29
##     neg2lnl convergence
## 15 820.5885           0
## 5  779.3705           0
## 17 815.5520           0
## 9  828.4494           0
## 6  794.6954           0
## 8  831.3551           0
## 10 827.6262           0
## 4  809.2944           0
## 2  831.2988           0
## 3  814.1336           0
## 16 839.2127           0
## 11 838.1358           0
## 1  839.0831           0
## 14 839.1562           0
## 12 837.9592           0
## 13 837.0450           0
## 7  751.7446           0

Sve

data.models.sve.a.recmod
##                                     model npar      AIC  DeltaAIC
## 12                   Phi(~Flood)p(~Coh_n)   13 240.8952  0.000000
## 13             Phi(~Flood + Age)p(~Coh_n)   14 242.5012  1.606051
## 18             Phi(~Flood + Sex)p(~Coh_n)   14 242.8822  1.987037
## 23         Phi(~bs(Temperature))p(~Coh_n)   15 244.3637  3.468524
## 14             Phi(~Flood * Age)p(~Coh_n)   15 244.4514  3.556239
## 25                    Phi(~time)p(~Coh_n)   17 244.8045  3.909368
## 11         Phi(~Density * Flood)p(~Coh_n)   15 244.8268  3.931616
## 19             Phi(~Flood * Sex)p(~Coh_n)   15 244.8811  3.985907
## 21     Phi(~Temperature * Flood)p(~Coh_n)   15 244.8825  3.987308
## 10                 Phi(~Density)p(~Coh_n)   13 247.0925  6.197341
## 22 Phi(~bs(Temperature) * Flood)p(~Coh_n)   17 247.5332  6.637985
## 20             Phi(~Temperature)p(~Coh_n)   13 247.9440  7.048776
## 6            Phi(~Coh_n + Flood)p(~Coh_n)   23 253.3308 12.435666
## 8             Phi(~Coh_n + time)p(~Coh_n)   27 255.5629 14.667697
## 24                       Phi(~1)p(~Coh_n)   12 259.6769 18.781759
## 5              Phi(~Coh_n * Age)p(~Coh_n)   33 260.4693 19.574138
## 15                     Phi(~Sex)p(~Coh_n)   13 261.5530 20.657805
## 1                      Phi(~Age)p(~Coh_n)   13 261.6748 20.779612
## 2                  Phi(~bs(Age))p(~Coh_n)   15 262.7549 21.859747
## 16               Phi(~Sex + Age)p(~Coh_n)   14 263.5515 22.656296
## 17               Phi(~Sex * Age)p(~Coh_n)   15 264.8562 23.961009
## 3                    Phi(~Coh_n)p(~Coh_n)   22 269.4253 28.530078
## 4              Phi(~Coh_n + Age)p(~Coh_n)   23 270.3095 29.414273
## 7            Phi(~Coh_n * Flood)p(~Coh_n)   33 272.3909 31.495712
## 9             Phi(~Coh_n * time)p(~Coh_n)   77 338.6952 97.800032
##          weight  neg2lnl convergence
## 12 3.531665e-01 214.8952           0
## 13 1.582085e-01 214.5012           0
## 18 1.307675e-01 214.8822           0
## 23 6.234464e-02 214.3637           0
## 14 5.966946e-02 214.4514           0
## 25 5.001163e-02 210.8045           0
## 11 4.945839e-02 214.8268           0
## 19 4.813387e-02 214.8811           0
## 21 4.810017e-02 214.8825           0
## 10 1.593104e-02 221.0925           0
## 22 1.278084e-02 213.5332           0
## 20 1.040776e-02 221.9440           0
## 6  7.040589e-04 207.3308           0
## 8  2.306374e-04 201.5629           0
## 24 2.948304e-05 235.6769           0
## 5  1.983853e-05 194.4693           0
## 15 1.153969e-05 235.5530           0
## 1  1.085786e-05 235.6748           0
## 2  6.326970e-06 232.7549           0
## 16 4.248418e-06 235.5515           0
## 17 2.212649e-06 234.8562           0
## 3  2.252951e-07 225.4253           0
## 4  1.447943e-07 224.3095           0
## 7  5.114140e-08 206.3909           0
## 9  2.046315e-22 184.6952           0

c. Regression models for Figure 8

L_inf and survival (estimate is mean survival)

## 
## Call:
## lm(formula = linf ~ estimate)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -43.286 -16.805  -9.121  22.112  47.392 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   561.66      52.69   10.66 5.26e-06 ***
## estimate     -468.23     112.83   -4.15  0.00321 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 30.54 on 8 degrees of freedom
## Multiple R-squared:  0.6828, Adjusted R-squared:  0.6432 
## F-statistic: 17.22 on 1 and 8 DF,  p-value: 0.003209

k and survival (estimate is mean survival)

## 
## Call:
## lm(formula = k ~ estimate)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.06380 -0.04402 -0.01101  0.02906  0.12545 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)  
## (Intercept) -0.07038    0.10601  -0.664   0.5254  
## estimate     0.71926    0.22700   3.169   0.0132 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.06145 on 8 degrees of freedom
## Multiple R-squared:  0.5565, Adjusted R-squared:  0.5011 
## F-statistic: 10.04 on 1 and 8 DF,  p-value: 0.01322

L_inf and k

## 
## Call:
## lm(formula = linf ~ k)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -43.390  -4.061   1.788  15.325  21.636 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   487.14      22.24  21.906 1.99e-08 ***
## k            -540.53      81.57  -6.627 0.000165 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 21.29 on 8 degrees of freedom
## Multiple R-squared:  0.8459, Adjusted R-squared:  0.8266 
## F-statistic: 43.91 on 1 and 8 DF,  p-value: 0.0001647