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The use of auxiliary variables in K-sample capture-recapture experiments.

SUMMARY The dependence of animal capture probabilities on auxiliary variables is an important practical problem which has not been considered when developing the statistical methodology of capture-recapture experiments. In this paper the linear logistic binary regression model is used to relate the probability of capture to continuous auxiliary variables. The auxiliary variables could be environmental quantities such as air temperature or individual animal characteristics such as length. Maximum likelihood estimators of the population parameters are considered for a variety of models which all assume a "closed" population but this can easily be generalized to allow for recruitment. Likelihood ratio and conditional tests for distinguishing between models are discussed. This model is also shown to be useful when the auxiliary variable is a measure of the effort expended in obtaining the sample.