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Quantifying the Effects of Unequal Catchabilities on Jolly-Seber Estimators Via Sample Coverage

W.-D. Hwang and Anne Chao
Biometrics
Vol. 51, No. 1 (Mar., 1995), pp. 128-141
DOI: 10.2307/2533320
Stable URL: http://www.jstor.org/stable/2533320
Page Count: 14
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Quantifying the Effects of Unequal Catchabilities on Jolly-Seber Estimators Via Sample Coverage
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Abstract

Using the concept of sample coverage, we derive an approximation of the bias in the Jolly-Seber population size estimators due to heterogeneity of capture probabilities. The resulting bias is expressed as a function of sample coverage, average capture probability, and the coefficient of variation of individual capture probabilities. The effect of unequal catchabilities on the Jolly-Seber survival rate estimators is also briefly discussed. We propose new population size estimators which incorporate the heterogeneity of capture probabilities. A simulation study investigates the performance of the approximation formulas of biases and the proposed estimation procedure. A real data set of male black-kneed capsids discussed in Jolly (Biometrika 52, 225-247, 1965), Seber (The Estimation of Animal Abundance, 1982), and Burnham (In Estimation of Analysis of Insect Populations, pp. 416-435, 1989) illustrates the method.

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