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Punctuated equilibria and 1/f noise in a biological coevolution model with individual-based dynamics.

Per Arne Rikvold1, R K P Zia

  • 1School of Computational Science and Information Technology, Center for Materials Research and Technology, Florida State University, Tallahassee, Florida 32306-4120, USA. rikvold@csit.fsu.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

This study models biological coevolution, revealing punctuated equilibria and self-similar dynamics in ecological communities. Long-lived communities exhibit stable diversity, protected by genetic barriers.

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Area of Science:

  • Theoretical Ecology
  • Evolutionary Biology
  • Computational Biology

Background:

  • Macroevolutionary dynamics often exhibit punctuated equilibria.
  • Understanding the mechanisms driving ecological community stability and diversity is crucial.

Purpose of the Study:

  • To model biological coevolution using a simplified system.
  • To investigate the dynamics of ecological communities under selection and mutation.

Main Methods:

  • Linear stability analysis.
  • Large-scale Monte Carlo simulations of a coevolution model.
  • Modeling selection via reproduction probability with quenched interspecies interactions.
  • Modeling genetic variation through a low mutation rate.

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Main Results:

  • The model demonstrates intermittent, statistically self-similar behavior consistent with punctuated equilibria.
  • Ecological community lifetimes follow a power law distribution (exponent near -2).
  • Power spectral densities exhibit 1/f noise (flicker noise).
  • Stable communities are characterized by mutualistic interactions and a protective zone of related genotypes.
  • Biological diversity remains stationary on average over long simulation times.

Conclusions:

  • The model provides a framework for understanding macroevolutionary patterns.
  • Ecological community stability is influenced by genetic protection zones, analogous to physical metastable states.
  • The observed dynamics suggest underlying principles governing evolutionary and ecological systems.