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Improved log‐linear model estimators of abundance in capture‐recapture experiments
Author(s) -
Rivest LouisPaul,
Lévesque Tina
Publication year - 2001
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3316007
Subject(s) - estimator , abundance (ecology) , statistics , log linear model , mark and recapture , mathematics , linear model , monte carlo method , population , mean squared error , abundance estimation , generalized linear model , biology , ecology , demography , sociology
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.