growth: Fitting Growth Curves to Length- or Weight-at-Age Data

In fishmethods: Fishery Science Methods and Models

Fitting Growth Curves to Length- or Weight-at-Age Data

Description

Fits three growth models to length and weight-at-age data.

Usage

growth(intype=1,unit=1,size=NULL,age=NULL,calctype=1,wgtby=1,se2=NULL,error=1, 
      specwgt=0.0001,Sinf=NULL,K=NULL,t0=NULL,B=3,graph=TRUE,
         control=list(maxiter=10000,minFactor=1/1024,tol=1e-5))

Arguments

intype	the input format: 1= individual size data; 2 = mean size data. Default intype=1.
unit	the size unit: 1= length; 2 = weight. Default unit=1.
size	the vector of size (length or weight) data.
age	the vector of ages associated with the size vector.
calctype	if intype=1, 1 = use individual size data; 2 = calculate mean size from individual size data. Default calctype=1.
wgtby	weighting scheme: 1 = no weighting; 2 = weight means by inverse variance. Weighting of individual data points is not allowed. Default wgtby=1.
se2	if intype=2 and wgtby=2, specify vector of variances (SE^2) associated with mean size-at-age data.
error	the error structure: 1 = additive; 2 = multiplicative. Default error=1.
specwgt	if intype=1 and wgtby=2, the weight value to use for cases where var=0 or only one individual is available at a given age.
Sinf	the starting value for L-infinity or W-infinity of the growth models. Required.
K	the starting value for K of the growth models.
t0	the starting value for t0 of the growth models.
B	the length-weight equation exponent used in the von Bertalanffy growth model for weight. Default B=3.
graph	logical value specifying if fit and residual plots should be drawn. Default graph = TRUE.
control	see function nls.

Details

Three growth models (von Bertalanffy, Gompert and logistic) are fitted to length- or weight-at-age data using nonlinear least-squares (function nls). If individual data are provided, mean size data can be calculated by specifying calctype=2. When fitting mean size data, observations can be weighted by the inverse sample variance(wgtby=2), resulting in weighted nonlinear least squares. Additive or multiplicative error structures are specified via error. See page 135 in Quinn and Deriso (1999) for more information on error structures.

If unit is weight, the exponent for the von Bertalanffy growth in weight model is not estimated and must be specified (B).

Plots of model fit and residuals are generated unless graph=FALSE.

Value

List containing list elements of the equation/structure and nls output for each model. Information from nls output can be extracted using standard functions (e.g., summary()).

Author(s)

Gary A. Nelson, Massachusetts Division of Marine Fisheries [e-mail]

References

Quinn, T. J. and R. B. Deriso. 1999. Quantitative fish dynamics. Oxford University Press. 542 pages.

Examples

data(pinfish)
growth(intype=1,unit=1,size=pinfish$sl,age=pinfish$age,
        calctype=1,wgtby=1,error=1,Sinf=200,K=0.3,t0=-1)

fishmethods documentation built on April 27, 2023, 9:10 a.m.