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Linking Predation Risk, Herbivore Physiological Stress and Microbial Decomposition of Plant Litter
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Incipient criticality in ecological communities.

Tommaso Zillio1, Jayanth R Banavar, Jessica L Green

  • 1Department of Renewable Resources, University of Alberta, Edmonton, AB, Canada T6G 2H1.

Proceedings of the National Academy of Sciences of the United States of America
|November 27, 2008
PubMed
Summary

This study introduces a general finite-size scaling framework to link ecological patterns like relative species abundance (RSA) and species area relationships (SAR), even without power-law behavior. Ecosystems are shown to be near a critical point.

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Area of Science:

  • Ecology
  • Theoretical Ecology
  • Statistical Ecology

Background:

  • Ecological studies often link relative species abundance (RSA) with power-law species area relationships (SAR).
  • However, many ecological patterns, including SAR, deviate from power-law behavior across scales.
  • This challenges the applicability of scaling frameworks to real-world ecological systems.

Purpose of the Study:

  • To develop a general finite-size scaling framework applicable to ecological systems that do not exhibit power-law behavior.
  • To identify incipient critical behavior in ecological communities.
  • To link the scale dependence of RSA and SAR in a unified manner.

Main Methods:

  • Derivation of a general finite-size scaling theory.
  • Application of the framework to ecological data, including serpentine grassland and Barro Colorado Island plots.
  • Analysis of species area relationships (SAR) and relative species abundance (RSA) data.

Main Results:

  • The derived framework successfully analyzes ecological data, even when power-law behavior is absent.
  • The theory links the scale dependence of RSA and SAR.
  • Data from both a power-law SAR plot and a non-power-law SAR plot confirmed the framework's generality.

Conclusions:

  • Finite-size scaling provides a model-independent framework for unifying and analyzing diverse ecological data.
  • Ecosystems exhibit characteristics of being poised near a critical point, irrespective of observed power-law relationships.
  • The developed scaling framework advances the understanding of ecological community structure and dynamics.