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USGS · 70119914

Nonparametric estimation of population density for line transect sampling using FOURIER series

B.R. Crain·K.P. Burnham·David R. Anderson·J.L. Lake
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Abstract

A nonparametric, robust density estimation method is explored for the analysis of right-angle distances from a transect line to the objects sighted. The method is based on the FOURIER series expansion of a probability density function over an interval. With only mild assumptions, a general population density estimator of wide applicability is obtained.

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Biometrical JournalArticle

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B.R. Crain, K.P. Burnham, David R. Anderson, J.L. Lake. 2007-01-18. Nonparametric estimation of population density for line transect sampling using FOURIER series. https://doi.org/10.1002/bimj.4710210804

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Some comments on Anderson and Pospahala's correction of bias in line transect sampling

ANDERSON and POSPAHALA (1970) investigated the estimation of wildlife population size using the belt or line transect sampling method and devised a correction for bias, thus leading to an estimator with interesting characteristics. This work was given a uniform mathematical framework in BURNHAM and ANDERSON (1976). In this paper we show that the ANDERSON-POSPAHALA estimator is optimal in the sense of being the (unique) best linear unbiased estimator within the class of estimators which are linear combinations of cell frequencies, provided certain assumptions are met.

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