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Limitations of entropy maximization in ecology
Author(s) -
Haegeman Bart,
Loreau Michel
Publication year - 2008
Publication title -
oikos
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.672
H-Index - 179
eISSN - 1600-0706
pISSN - 0030-1299
DOI - 10.1111/j.1600-0706.2008.16539.x
Subject(s) - maximization , ecology , formalism (music) , entropy (arrow of time) , entropy maximization , statistical physics , statistical mechanics , principle of maximum entropy , computer science , theoretical ecology , mathematics , artificial intelligence , mathematical optimization , biology , physics , sociology , population , art , musical , demography , quantum mechanics , visual arts
Applying ideas of statistical mechanics in ecology have recently received quite some attention. The entropy maximization (EM) formalism looks particularly attractive, as it provides a simple algorithm to infer detailed system variables from a limited number of constraints. However, we point out that a blind application of this formalism can easily lead to wrong conclusions. To illustrate this, we reanalyze an ecological data set that has been used to claim the good performance of EM in predicting species abundances from trait measurements. We show that these results are entirely due to the restrictive constraints, and do not provide any support for the applicability of EM in ecology. By comparing with a simple example from physics, we indicate which characteristic mechanism of EM, and of statistical mechanics in general, is missing for the ecological example. This analysis introduces a series of methods to evaluate future attempts to apply EM in ecology.