Abstract
The aim of this study was to examine the effects of stratification of the survey region on the performance of species distribution models (SDMs) described by generalized linear models or generalized additive models when estimating school abundance by using a line transect survey. True covariates that define spatial school distribution are not always obtainable explanatory variables. When the true covariates differ from explanatory variables in the model, the explanatory variables are determined to be misspecified. We evaluated the performance of SDMs in abundance estimation with misspecified covariates by using dummy datasets for which the true abundance was known. Simulated replicates of spatial distributions of a whale school and sighting data were generated from possible scenarios motivated by the spatial school distribution of Antarctic minke whales Balaenoptera bonaerensis. This distribution was obtained from the Japanese Whale Research Program under Special Permit in the Antarctic. Our results showed that the relative bias of the abundance estimators was large when covariates were misspecified and a survey region was stratified. Although stratification of the survey region is intended to produce a conventional line transect estimator with a smaller variance than that of non-stratified survey region, it also acts to increase the bias of the abundance estimate obtained from SDMs.
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Acknowledgments
We are grateful to all those who contributed to the collection of cetacean sighting and oceanographic data. We would like to thank members of the Center for Research in Ecological and Environmental Modeling and the School of Mathematics and Statistics at the University of St. Andrews, members of our laboratory, the Center for Ocean Studies and Integrated Education of Yokohama National University, and anonymous reviewers. This work was supported by Grant-in-Aid for JSPS Fellows 201103934 to Y.S., a JSPS grant (10002451), and the Global COE (E-03) by MEXT to H.M. Special thanks to James Lawrence for improving the language of the manuscript.
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Shibata, Y., Matsuishi, T., Murase, H. et al. Effects of stratification and misspecification of covariates on species distribution models for abundance estimation from virtual line transect survey data. Fish Sci 79, 559–568 (2013). https://doi.org/10.1007/s12562-013-0634-5
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DOI: https://doi.org/10.1007/s12562-013-0634-5