Stochastic models of evolution in genetics, ecology and linguistics

Richard Blythe, A. J. McKane

Research output: Contribution to journalLiterature reviewpeer-review

Abstract

We give an overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of non-specialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.

Original languageEnglish
Article numberP07018
Pages (from-to)-
Number of pages58
Journal Journal of Statistical Mechanics: Theory and Experiment
Issue numberJUL
DOIs
Publication statusPublished - 2007

Keywords

  • stochastic particle dynamics (theory)
  • population dynamics (theory)
  • interacting agent models
  • SUBDIVIDED POPULATION
  • NEUTRAL THEORY
  • EFFECTIVE SIZE
  • DIFFUSION APPROXIMATIONS
  • COALESCENT PROCESS
  • FRONT PROPAGATION
  • ISLAND MODEL
  • MUTANT GENES
  • SELECTION
  • FIXATION

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