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Self-Organized Criticality, Optimization And Biodiversity

Author

Listed:
  • ROBERTO N. ONODY

    (Departamento de Física e Informática, Instituto de Física de São Carlos, Universidade de São Paulo, C.P.369, 13560-970 São Carlos-SP, Brazil)

  • PAULO A. DE CASTRO

    (Departamento de Física e Informática, Instituto de Física de São Carlos, Universidade de São Paulo, C.P.369, 13560-970 São Carlos-SP, Brazil)

Abstract

By driving to extinction species that are less or poorly adapted, the Darwinian evolutionary theory is intrinsically an optimization theory. We investigate two optimization algorithms with such evolutionary characteristics: the Bak–Sneppen and the Extremal Optimization. By comparing their mean fitness in the steady state regime, we conclude that the Bak–Sneppen dynamics is more efficient than the Extremal Optimization if the parameter τ is in the interval [0, 0.86]. The determination of the spatial correlation and the probability distribution of the avalanches show that the Extremal Optimization dynamics does not lead the system into a critical self-organized state. Through a discrete form of the Bak–Sneppen model we argue that biodiversity is an essential prerequisite to preserve the self-organized criticality.

Suggested Citation

  • Roberto N. Onody & Paulo A. De Castro, 2003. "Self-Organized Criticality, Optimization And Biodiversity," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 911-916.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:07:n:s0129183103005054
    DOI: 10.1142/S0129183103005054
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