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Biometrika 1981 68(1):211-219; doi:10.1093/biomet/68.1.211
© 1981 by Biometrika Trust
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Tag loss and the Petersen mark-recapture experiment

G. A. F. SEBER and R. FELTON

Department of Mathematics, Auckland University

A problem in the Petersen capture-mark-recapture experiment (Seber, 1973, Chapter 3) is the possible loss of tags. The effect of such a loss on the usual estimate of population size and the estimate of its variance is investigated for both single and double tagging. When there is double tagging, a correction for tag loss can be made based on the numbers recaptured that retain one or both tags, provided we can assume independence of the tags. Two cases are considered, distinguishable tags and nondistinguishable tags in which the latter have the same loss rates; new approximately unbiased estimates of population size and their variance estimates are introduced. It is shown that these estimates are moderately robust to dependence between the two tags and that there is little to be gained by using nondistinguishable tags.

Key Words: Capture-recapture • Double tagging • Mark-recapture • Tag loss • Population size


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