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Broad scaling region in a spatial ecological system
Author(s) -
Roy Manojit,
Pascual Mercedes,
Franc Alain
Publication year - 2003
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1002/cplx.10096
Subject(s) - scaling , criticality , percolation (cognitive psychology) , statistical physics , parameter space , critical point (mathematics) , ecology , scale (ratio) , scaling law , stability (learning theory) , directed percolation , environmental science , physics , computer science , critical exponent , mathematics , biology , mathematical analysis , statistics , geometry , quantum mechanics , neuroscience , machine learning , nuclear physics
The ubiquity of scale‐free patterns in ecological systems has raised the possibility that these systems operate near criticality. Critical phenomena (CP) require the tuning of parameters and typically exhibit a narrow scaling region in which power laws hold. Here we show that an individual‐based predator‐prey model exhibits scaling properties similar to CP, generated by a percolation‐like transition but with a broader scaling region. There are no drastic changes in ecological quantities across this critical point and species coexist broadly in parameter space. The implications of these findings for the stability of ecological systems “near” criticality is discussed. © 2003 Wiley Periodicals, Inc.

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