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Evolutionary Stability of Ecological Hierarchy

Taksu Cheon
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Abstract

A self-similar hierarchical solution that is both dynamically and evolutionarily stable is found to the multi dimensional Lotka-Volterra equation with a single chain of prey-predator relations. This gives a simple and natural explanation to the key features of hierarchical ecosystems, such as its ubiquity, pyramidal population distribution, and higher aggressiveness among higher trophic levels. pacs{87.23.Kg, 89.75.Da, 05.45.-a} keywords{Lotka-Volterra equation, Trophic pyramid, Self-similarity}

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Taksu Cheon. 2003-07-03. Evolutionary Stability of Ecological Hierarchy. https://doi.org/10.1103/physrevlett.90.258105

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