Evolution of the most recent common ancestor of a population with no selection
Damien Simon, Bernard Derrida
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.
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