A Branching Process Model with Mutation and Selection

Ziad Taib

Dept of Mathematical Statistics, Chalmers Univ of Tech, Gothenburg, Sweden

Abstract

We consider a general branching process to which we add the possibility of mutation within a general genotype space. Among the different aspects of this process that we describe are the asymptotics of different population counts, the ancestry of a randomly sampled individual and the probability of identity by descent.