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Advanced distance sampling: Estimating Abundance of Biological Populations

, , , , , and . Oxford University Press, New York, NY, (2004)

Abstract

Distance sampling, primarily line transect and point transect sampling, has had a relatively short history. The earliest attempts to use distances to detected animals to estimate abundance date back to the 1930s, and the first line transect estimator with a rigorous mathematical basis was due to Hayne (1949). Nearly 20 years later, Gates et al. (1968) and Eberhardt (1968) made important contributions to the development of line transect sampling methodology. Neither the radial distance model of Hayne (1949) nor the negative exponential model of Gates et al. (1968) is based on plausible assumptions about the detection process. Eberhardt’s (1968) work was more conceptual, and attempted to provide a class of models that were robust to differing detection processes. None of these early methods are now recommended. Three papers in the early 1970s prompted Burnham and Anderson (1976) to develop the general theory needed for reliable estimation. The first of these papers was Anderson and Pospahala (1970), who used polynomials to fit the distance data, but who did not provide underlying theory. The field experiments of Robinette et al. (1974) were important in providing data sets with known abundance, on which estimation methods could be tested. The third paper was by Sen et al. (1974), which gave an erroneous formulation. Burnham and Anderson (1976) corrected this formulation, and provided a general framework for both parametric and nonparametric methods, applied to data that were either grouped or ungrouped, and truncated or untruncated. The first comprehensive treatment of the topic was by Burnham et al. (1980). Point transect sampling (or variable circular plots) was conceptualized in the early 1970s for songbird surveys, although the initial work was not published until 1980 (Reynolds et al. 1980), by which time several papers using the technique had already been published. The method is still largely restricted to avian studies (Rosenstock et al. 2002), although other applications are now starting to appear in the literature. Reviews of these historical developments are given by Buckland et al. (2000, 2001).

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