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Obtain a vector of growth increments and a vector of standard deviations for each growth increment using the Schnute-Francis growth model. The growth increment model is defined as:

Usage

get_growth_increment(
  midpoint = seq(31, 91, 2),
  ga = 40,
  gb = 80,
  galpha = 5,
  gbeta = 1,
  gshape = 5,
  gcv = 0.5,
  gobs = 1,
  gdd = 0,
  gmin = 0.01,
  biomass = 1,
  tau = 1
)

Arguments

midpoint

a numeric vector of length bin midpoints (mm).

ga

a numeric value for the reference size at which \(G_{\alpha}\) is defined (mm).

gb

a numeric value for the reference size at which \(G_{\beta}\) is defined (mm).

galpha

the \(G_{\alpha}\) parameter: growth increment at size ga (mm).

gbeta

the \(G_{\beta}\) parameter: growth increment at size gb (mm).

gshape

the shape parameter \(G_{\gamma}\) controlling the curvature of the growth curve.

gcv

the process error parameter \(G_{CV}\) as a coefficient of variation.

gobs

the observation error parameter \(G_{obs}\) (mm).

gdd

the density-dependence parameter affecting growth.

gmin

the minimum standard deviation of growth increment (mm).

biomass

the biomass used for density-dependent growth calculations.

tau

the time at liberty (years).

Value

a list containing a vector of growth increments and a vector of the standard deviation for each increment.

Details

\(\delta L = L2 - L1\)

\(G_{\alpha}\) + \(G_{\beta}\) + \(G_{\gamma}\)

Examples

get_growth_increment()
#> $gi
#>  [1] 9.4121968 8.2003974 7.1245802 6.1816937 5.3645346 4.6629129 4.0649177
#>  [8] 3.5580479 3.1300777 2.7696267 2.4664700 2.2116536 1.9974796 1.8174151
#> [15] 1.6659657 1.5385371 1.4313013 1.3410743 1.2652088 1.2015025 1.1481208
#> [22] 1.1035326 1.0664570 1.0358200 1.0107182 0.9903896 0.9741899 0.9615722
#> [29] 0.9520711 0.9452895 0.9408874
#> 
#> $sigma
#>  [1] 4.811170 4.220382 3.699988 3.248589 2.862614 2.536866 2.265146 2.040815
#>  [9] 1.857241 1.708130 1.587724 1.490923 1.413323 1.351203 1.301484 1.261655
#> [17] 1.229697 1.204002 1.183295 1.166577 1.153059 1.142123 1.133284 1.126157
#> [25] 1.120441 1.115893 1.112322 1.109574 1.107524 1.106071 1.105132
#>