Critical phenomena in lattice Lotka-Volterra model: Parity law and selfstructuring extinction pattern

Kei-ichi Tainaka and Kiyoshi Kobayashi
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Kei-ichi Tainaka: Ibaraki Univ., Dept. of Physics
Kiyoshi Kobayashi: Ibaraki Univ., Dept. of Physics

A chapter in Complexity and Diversity, 1997, pp 178-180 from Springer

Abstract: Abstract So far, we have developed a lattice version of Lotka-Volterra theory (LVT), and found that long-term forecast looks unpredictable. However, in this article, we find a parity law: Not a microscopic structure of ecosystem, such as detailed interactions between species, but “parity”, defined by whether each system has odd or even number of species, is relevant for the long-term forecast. This parity dependence can be explained by the combination of mean-field theory (LVT) and the effect of spatial pattern formation of endangered species.

Keywords: Lattice ecosystem; critical phenomena; endangered species; parity law (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-66862-6_37

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DOI: 10.1007/978-4-431-66862-6_37

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