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Introduction to the statistical theory of Darwinian evolution

L. Peliti

Published 1997 in arXiv: Disordered Systems and Neural Networks

ABSTRACT

AbstractThese lectures contain a brief description of evolutionary models inspired by the statisticalmechanics of disordered systems. After an introduction describing the Darwinian paradigmof evolving populations, the deterministic quasispecies equation is described, and the simplestfitness landscapes are discussed. The effect of finite population size is then considered, fromthe opposing points of view leading to stochastic escape and to adaptive walks. A synthesisis attempted. Finally the effects of coevolution are considered, and the promising models oflarge-scale inspired by the Bak-Sneppen models are described. 1 Introduction The subject of these lectures are some mathematical models of biological evolution. For an elemen-tary introduction to evolutionary genetics one can look at ref. [34]. We shall see here that manyconcepts from the statistical physics of disordered systems find their application in evolutionarybiology, what motivates the presence of these lectures in a workshop dedicated to the dynamics ofdisordered and frustrated systems.We shall first dwell on evolution at the level of a single population (

PUBLICATION RECORD

  • Publication year

    1997

  • Venue

    arXiv: Disordered Systems and Neural Networks

  • Publication date

    1997-12-02

  • Fields of study

    Biology, Mathematics, Physics

  • Identifiers
    arXiv cond-mat/9712027
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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