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CAPTURE-RECAPTURE ESTIMATION IN THE PRESENCE OF A KNOWN SEX RATIO

SUMMARY New methods of estimating population size are presented based on capture-recapture data. The methods exploit knowledge of the sex ratio, males per female, and permit estimability even when both time of sampling and marking affect the catchability of an animal. An example is presented involving Microtus pennsylvanicus. Potential failure of the behavioral independence assumption has been cited as a key problem for the capture-recapture model for more than 30 years. In this note, a solution to the problem is achieved by replacing the independence assumption by another assumption thought generally to be less objectionable. The solution may be widely useful in wildlife and fisheries applications, and is applicable to the problem of estimating coverage error in a census of a human population. Consider a single capture-recapture experiment with the following observed data: