SELF-ORGANIZED CRITICALITY, OPTIMIZATION AND BIODIVERSITY

Roberto N. Onody () and Paulo A. de Castro ()
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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

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 07, 911-916

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.

Keywords: Extremal optimization; Bak–Sneppen model; self-organized criticality (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005054

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