mrds-opt: Tips on optimisation issues in 'mrds' models

In mrds: Mark-Recapture Distance Sampling

Tips on optimisation issues in mrds models

Description

Occasionally when fitting an 'mrds' model one can run into optimisation issues. In general such problems can be quite complex so these "quick fixes" may not work. If you come up against problems that are not fixed by these tips, or you feel the results are dubious please go ahead and contact the package authors.

Debug mode

One can obtain debug output at each stage of the optimisation using the showit option. This is set via control, so adding control=list(showit=3) gives the highest level of debug output (setting showit to 1 or 2 gives less output).

Re-scaling covariates

Sometimes convergence issues in covariate (MCDS) models are caused by values of the covariate being very large, so a rescaling of that covariate is then necessary. Simply scaling by the standard deviation of the covariate can help (e.g. dat$size.scaled <- dat$scale/sd(dat$scale) for a covariate size, then including size.scaled in the model instead of size).

It is important to note that one needs to use the original covariate (size) when computing Horvitz-Thompson estimates of population size if the group size is used in that estimate. i.e. use the unscaled size in the numerator of the H-T estimator.

Factor levels

By default R will set the base factor level to be the label which comes first alphabetically. Sometimes this can be an issue when that factor level corresponds to a subset of the data with very few observations. This can lead to very large uncertainty estimates (CVs) for model parameters. One way around this is to use relevel to set the base level to a level with more observations.

Initial values

Initial (or starting) values can be set via the initial element of the control list. initial is a list itself with elements scale, shape and adjustment, corresponding to the associated parameters. If a model has covariates then the scale or shape elements will be vectors with parameter initial values in the same order as they are specific in the model formula (using showit is a good check they are in the correct order). Adjustment starting values are in order of the order of that term (cosine order 2 is before cosine order 3 terms).

One way of obtaining starting values is to fit a simpler model first (say with fewer covariates or adjustments) and then use the starting values from this simpler model for the corresponding parameters.

Another alternative to obtain starting values is to fit the model (or some submodel) using Distance for Windows. Note that Distance reports the scale parameter (or intercept in a covariate model) on the exponential scale, so one must log this before supplying it to ddf.

Bounds

One can change the upper and lower bounds for the parameters. These specify the largest and smallest values individual parameters can be. By placing these constraints on the parameters, it is possible to "temper" the optimisation problem, making fitting possible.

Again, one uses the control list, the elements upperbounds and lowerbounds. In this case, each of upperbounds and lowerbounds are vectors, which one can think of as each of the vectors scale, shape and adjustment from the "Initial values" section above, concatenated in that order. If one does not occur (e.g. no shape parameter) then it is simple omitted from the vector.

Author(s)

David L. Miller <[e-mail]>

mrds documentation built on July 9, 2023, 6:06 p.m.