Evolution of the most recent common ancestor of a population with no selection
arXiv:cond-mat/0601167 · doi:10.1088/1742-5468/2006/05/P05002
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.
21 pages, 10 figures, uses RevTex4 and feynmf.sty Corrections : introduction and conclusion rewritten, references added