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Self-organization in evolution: a mathematical perspective.

Ian Stewart1

  • 1Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 21, 2003
PubMed
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Evolution can be viewed as ecosystem self-organization, challenging gene-centric views. Phenotypic models reveal speciation as a robust symmetry-breaking bifurcation, highlighting collective effects in evolutionary processes.

Area of Science:

  • Evolutionary biology
  • Theoretical ecology
  • Complex systems

Background:

  • Traditional neo-Darwinian evolution emphasizes gene-centric mechanisms.
  • Mean-field gene-pool models offer limited scope for self-organization.
  • Phenotypic models incorporating nonlinear and collective effects suggest ecosystem self-organization.

Purpose of the Study:

  • To explore the role of self-organization in evolution, focusing on speciation.
  • To present phenotypic models that illuminate self-organization in evolutionary processes.
  • To introduce new approaches to fitness landscapes and species selection.

Main Methods:

  • Utilized a series of phenotypic models to study speciation.
  • Investigated evolutionary dynamics within deterministic and stochastic dynamical systems.

Related Experiment Videos

  • Employed iterated function schemes to model evolutionary processes.
  • Examined concepts of fitness landscapes and species selection.

    • Main Results:

    • Speciation is consistently modeled as a symmetry-breaking bifurcation across diverse mathematical frameworks.
    • The findings demonstrate robustness despite the variety of modeling approaches.
    • Phenotypic models provide insights into ecosystem self-organization during speciation.

    Conclusions:

    • Evolution, particularly speciation, can be effectively understood as a self-organizing process of the ecosystem.
    • The gene-centric view may be complemented by models emphasizing collective and nonlinear phenotypic effects.
    • Symmetry-breaking bifurcations offer a unifying mathematical perspective on speciation across different models.