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

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

2006-01-09

arxiv.org/abs/cond-mat/0601167v2

J. Stat. Mech. (2006) P05002

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1742-5468/2006/05/P05002

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.

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