Evolution of the most recent common ancestor of a population with no selection

Damien Simon; Bernard Derrida

doi:10.1088/1742-5468/2006/05/P05002

Evolution of the most recent common ancestor of a population with no selection

Statistical Mechanics 2009-09-29 v2 Populations and Evolution

Authors: Damien Simon , Bernard Derrida

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Abstract

We consider the evolution of a population of fixed size with no selection. The number of generations $G$ to reach the first common ancestor evolves in time. This evolution can be described by a simple Markov process which allows one to calculate several characteristics of the time dependence of $G$ . We also study how $G$ is correlated to the genetic diversity.

Keywords

most recent common ancestor population evolution Markov process genetic diversity no selection

Cite

@article{arxiv.cond-mat/0601167,
  title  = {Evolution of the most recent common ancestor of a population with no selection},
  author = {Damien Simon and Bernard Derrida},
  journal= {arXiv preprint arXiv:cond-mat/0601167},
  year   = {2009}
}

Comments

21 pages, 10 figures, uses RevTex4 and feynmf.sty Corrections : introduction and conclusion rewritten, references added

Evolution of the most recent common ancestor of a population with no selection

Abstract

Keywords

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