Self-Organized Criticality, Optimization and Biodiversity

Details Self-Organized Criticality, Optimization and Biodiversity Self-Organized Criticality, Optimization and Biodiversity

2004-10-06

arxiv.org/abs/q-bio/0410007v1

International Journal of Modern Physics C 14, 911-916 (2002)

Biology

Quantitative Biology

Populations and Evolution

3 pages, 3 figures, published in to International Journal of Modern Physics C

Scientific paper

By driven to extinction species 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 $\tau$ 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. Trough a discrete form of the Bak-Sneppen model we argument that biodiversity is an essential requisite to preserve the self-organized criticality.

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