Maximum likelihood and Bayesian approaches are applied to estimate parameters of a simple experimental growth model for the humpback whales of breeding sub-stock B1 from photo-ID and genotypic capture-recapture data for all observation sites combined and for Iguela only. The maximum likelihood estimates are generally rather imprecise, and some estimates for the annual growth rate r are demographically unrealistic. Bayesian results, for which a prior restricts its r to a demographically plausible range of [0; 0.106], are more reliable and suggest a population of size 7600 [95% PI: 6600-8800] in 2003, with r at 8.5% [95% PI: 3.7%-10.4%]. These results, are however, intended primarily as illustrative of the methodologies, and to facilitate further discussion and model refinement. This will need, inter alia, to consider the appropriateness of aggregating data from different sites.
Reference:
Johnston, S. J., & Butterworth, D. S. (2008). Capture-recapture analyses of humpback whale population sizes and increase rates: breeding sub-stock B1. International Whaling Commission Scientific Committee, Santiago, Chile, 9.
Johnston, S. J., & Butterworth, D. S. (2008). Capture-recapture analyses of humpback whale population sizes and increase rates: breeding sub-stock B1 University of Cape Town ,Faculty of Science ,Marine Resource Assessment and Management Group. Retrieved from http://hdl.handle.net/11427/18505
Johnston, Susan J, and Doug S Butterworth Capture-recapture analyses of humpback whale population sizes and increase rates: breeding sub-stock B1. University of Cape Town ,Faculty of Science ,Marine Resource Assessment and Management Group, 2008. http://hdl.handle.net/11427/18505
Johnston SJ, Butterworth DS. Capture-recapture analyses of humpback whale population sizes and increase rates: breeding sub-stock B1. 2008 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18505