Journal of Applied Science and Engineering

Published by Tamkang University Press


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Fei-Yin Chen1, Lu-Fang Chen2, Wen-Han Hwang3 and Yih-Huei Huang This email address is being protected from spambots. You need JavaScript enabled to view it.1

1Department of Mathematics, Tamkang University, Tamsui, Taiwan 251, R.O.C.
2The Teaching Center of Natural Science, Minghsin University of Science and Technology, Hsinchu, Taiwan 304, R.O.C.
3Institute of Statistics, National Chung Hsing University, Taichung, Taiwan 402, R.O.C.


Received: November 22, 2013
Accepted: May 12, 2014
Publication Date: June 1, 2014

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We consider the estimation of animal density by distance sampling line transect survey when the data of sighting distances are contaminated with measurement errors. The presence of measurement errors may result in a substantial bias on the estimation of animal density. This study investigates the effects of measurement errors while applying the nonparametric kernel density estimation. With regards to the typical additive and a general multiplicative measurement error models, we accordingly develop corrections to adjust the biases caused by measurement errors. A simulation study was carried out for comparing with other parametric approaches. An extension to the distance sampling point transect surveys is addressed as well.

Keywords: Animal Density, Line Transect, Measurement Error, Point Transect, Kernel Smoothing


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