Evolutionary Stability of Ecological Hierarchy
Taksu Cheon (Kochi Tech)

TL;DR
This paper presents a self-similar, evolutionarily stable hierarchical solution to the multi-dimensional Lotka-Volterra equations, explaining key features of ecosystems like pyramidal populations and trophic structures.
Contribution
It introduces a novel stable hierarchical solution to Lotka-Volterra models, elucidating ecological hierarchy features through self-similarity and stability analysis.
Findings
Hierarchical ecosystems exhibit self-similarity and stability.
The model explains pyramidal population distributions.
Higher trophic levels show increased aggressiveness.
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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