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Improved log-linear model estimators of abundance in capture-recapture experiments

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WILEY-BLACKWELL
DOI: 10.2307/3316007

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asymptotics; generalized linear model; multinomial distribution; Petersen estimator; removal model

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The authors review log-linear models for estimating the size of a closed population and propose a new log-linear estimator for experiments having between animal heterogeneity and a behavioral response. They give a general formula for evaluating the asymptotic biases of estimators of abundance derived from log-linear models. They propose simple frequency modifications for reducing these asymptotic biases and investigate the modifications in a Monte Carlo experiment which reveals that they reduce both the bias and the mean squared error of abundance estimators.

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