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The American Naturalist
Article . 2010
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Article . 2010
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The American Naturalist
Article . 2010 . Peer-reviewed
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Entropy Maximization and the Spatial Distribution of Species

Authors: Haegeman, Bart; Etienne, Rampal;

Entropy Maximization and the Spatial Distribution of Species

Abstract

Entropy maximization (EM, also known as MaxEnt) is a general inference procedure that originated in statistical mechanics. It has been applied recently to predict ecological patterns, such as species abundance distributions and species-area relationships. It is well known in physics that the EM result strongly depends on how elementary configurations are described. Here we argue that the same issue is also of crucial importance for EM applications in ecology. To illustrate this, we focus on the EM prediction of species-level spatial abundance distributions. We show that the EM outcome depends on (1) the choice of configuration set, (2) the way constraints are imposed, and (3) the scale on which the EM procedure is applied. By varying these choices in the EM model, we obtain a large range of EM predictions. Interestingly, they correspond to spatial abundance distributions that have been derived previously from mechanistic models. We argue that the appropriate choice of the EM model assumptions is nontrivial and can be determined only by comparison with empirical data.

Countries
France, Netherlands, France
Keywords

Entropy, MODELS, SAMPLING FORMULA, ECOLOGY, Models, Biological, random-placement model, Ecosystem, Population Density, spatial abundance distribution, AREA RELATIONSHIP, Geography, scale transformation, MAXIMUM-ENTROPY, [SDV.EE] Life Sciences [q-bio]/Ecology, environment, prior distribution, broken stick model, STATISTICAL-MECHANICS, ABUNDANCE, BIODIVERSITY, COMMUNITIES, HEAP model, SELF-SIMILARITY

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    49
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
49
Top 10%
Top 10%
Top 10%
hybrid