Evolution of the most recent common ancestor of a population with no selection
D. Simon, B. Derrida,
J. Stat. Mech. (2006) P05002 ,
https://arxiv.org/abs/cond-mat/0601167,
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.