Convergence to the structured coalescent process

DOI オープンアクセス

説明

<jats:title>Abstract</jats:title><jats:p>The coalescent was introduced by Kingman (1982a), (1982b) and Tajima (1983) as a continuous-time Markov chain model describing the genealogical relationship among sampled genes from a panmictic population of a species. The random mating in a population is a strict condition and the genealogical structure of the population has a strong influence on the genetic variability and the evolution of the species. In this paper, starting from a discrete-time Markov chain model, we show the weak convergence to a continuous-time Markov chain, called the structured coalescent model, describing the genealogy of the sampled genes from whole population by means of passing the limit of the population size. Herbots (1997) proved the weak convergence to the structured coalescent on the condition of conservative migration and Wright–Fisher-type reproduction. We will give the proof on the condition of general migration rates and exchangeable reproduction.</jats:p>

収録刊行物

キーワード

詳細情報 詳細情報について

  • CRID
    1873961342573694208
  • DOI
    10.1017/jpr.2016.16
  • ISSN
    14756072
    00219002
  • データソース種別
    • OpenAIRE

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