Symmetry breaking and coarsening in spatially distributed evolutionary processes including sexual reproduction and disruptive selection

Hiroki Sayama, Les Kaufman, Yaneer Bar-Yam

研究成果: Article査読

25 被引用数 (Scopus)

抄録

Sexual reproduction presents significant challenges to formal treatment of evolutionary processes. A starting point for systematic treatments of ecological and evolutionary phenomena has been provided by the gene-centered view of evolution which assigns effective fitness to each allele instead of each organism. The gene-centered view can be formalized as a dynamic mean-field approximation applied to genes in reproduction and selection dynamics. We show that the gene-centered view breaks down for symmetry breaking and pattern formation within a population and show that spatial distributions of organisms with local mating neighborhoods in the presence of disruptive selection give rise to such symmetry breaking and pattern formation in the genetic composition of local populations. Global dynamics follows conventional coarsening of systems with nonconserved order parameters. The results have significant implications for the ecology of genetic diversity and species formation.

本文言語English
ページ(範囲)7065-7069
ページ数5
ジャーナルPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
62
5
DOI
出版ステータスPublished - 2000
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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