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Evolutionary stability of ecological hierarchy
1Laboratory of Physics, Kochi University of Technology, Tosa Yamada, Kochi 782-8502, Japan. taksu.cheon@kochi-tech.ac.jp
Physical Review Letters
|July 15, 2003
Abstract:
A self-similar hierarchical solution that is both dynamically and evolutionarily stable is found for the multidimensional 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.