Equivalence of MAXENT and Poisson Point Process Models for Species Distribution Modeling in Ecology

Equivalence of MAXENT and Poisson Point Process Models for Species Distribution Modeling in Ecology Summary Modeling the spatial distribution of a species is a fundamental problem in ecology. A number of modeling methods have been developed, an extremely popular one being MAXENT, a maximum entropy modeling approach. In this article, we show that MAXENT is equivalent to a Poisson regression model and hence is related to a Poisson point process model, differing only in the intercept term, which is scale‐dependent in MAXENT. We illustrate a number of improvements to MAXENT that follow from these relations. In particular, a point process model approach facilitates methods for choosing the appropriate spatial resolution, assessing model adequacy, and choosing the LASSO penalty parameter, all currently unavailable to MAXENT. The equivalence result represents a significant step in the unification of the species distribution modeling literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Biometrics Wiley

Equivalence of MAXENT and Poisson Point Process Models for Species Distribution Modeling in Ecology

Biometrics, Volume 69 (1) – Mar 1, 2013

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Publisher
Wiley
Copyright
Copyright © 2013, The International Biometric Society
ISSN
0006-341X
eISSN
1541-0420
D.O.I.
10.1111/j.1541-0420.2012.01824.x
Publisher site
See Article on Publisher Site

Abstract

Summary Modeling the spatial distribution of a species is a fundamental problem in ecology. A number of modeling methods have been developed, an extremely popular one being MAXENT, a maximum entropy modeling approach. In this article, we show that MAXENT is equivalent to a Poisson regression model and hence is related to a Poisson point process model, differing only in the intercept term, which is scale‐dependent in MAXENT. We illustrate a number of improvements to MAXENT that follow from these relations. In particular, a point process model approach facilitates methods for choosing the appropriate spatial resolution, assessing model adequacy, and choosing the LASSO penalty parameter, all currently unavailable to MAXENT. The equivalence result represents a significant step in the unification of the species distribution modeling literature.

Journal

BiometricsWiley

Published: Mar 1, 2013

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