The factorial decomposition of the Mahalanobis distances in habitat selection studies

Ecology
C CalengeJ-M Jullien

Abstract

The Mahalanobis distances have been introduced in habitat selection studies for the estimation of environmental suitability maps (ESMs). The pixels of raster maps of a given area correspond to points in the multidimensional space defined by the mapped environmental variables (ecological space). The Mahalanobis distances measure the distances in this space between these points and the mean of the ecological niche (i.e., the hypothesized optimum for the species) regarding the structure of the niche. The map of these distances over the area of interest is an estimated ESM. Several authors recently noted that the use of a single optimum for the niche of a species may lead to biased predictions of animal occurrence. They proposed to use instead a minimum set of basic habitat requirements, found by partitioning the Mahalanobis distances into a restricted set of biologically meaningful axes. However, the statistical approach they proposed does not take into account the environmental conditions on the area where the niche was sampled (i.e., the environmental availability), and we show that including this availability is necessary. We used their approach as a basis to develop a new exploratory tool, the Mahalanobis distance factor analy...Continue Reading

References

Mar 16, 2004·Environmental Management·Alexandre H Hirzel, Raphaël Arlettaz
Jul 28, 2006·Ecology·John T RotenberrySteven T Knick

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Citations

Jun 23, 2010·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Jean-Michel GaillardBram Van Moorter
Aug 13, 2013·PloS One·Jean-Baptiste ThiebotCharles-André Bost
May 3, 2013·Ecological Applications : a Publication of the Ecological Society of America·W F de BoerJ J A Dekker
Nov 9, 2010·The Journal of Animal Ecology·Henrik J de KnegtHerbert H T Prins
Aug 2, 2016·Australian & New Zealand Journal of Statistics·Paul H Garthwaite, Inge Koch
Sep 8, 2015·Molecular Phylogenetics and Evolution·Gabriela Castellanos-MoralesLuis E Eguiarte
Jun 30, 2015·American Journal of Primatology·Alex K PielFiona A Stewart
Apr 10, 2008·Journal of Theoretical Biology·Clément Calenge, Mathieu Basille
Sep 21, 2016·Ecology and Evolution·Colin CampbellKatriona Shea

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