The problem is that of adjusting estimates of effective area surveyed in line transect or variable circular plot wildlife surveys for covariates that are known to influence delectability. We present a model where this can be accomplished within a general linear models framework (Nelder and Wedderburn, 1982, Journal of the Royal Statistical Society, Series A 135, 370-384). The model treats effective area as a scale parameter for detection areas, and uses the logarithm of effective area as a link to the covariates. Maximum likelihood results are presented along with least squares estimates that provide good starting values for iterative searches. We apply the methodology to a situation arising in an avian survey of Saipan Island.
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Ramsey et al. (1987) studied this question.
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