Genetic contribution of an advantaged mutant in the biparental Moran model

TL;DR

This paper investigates the long-term impact of a beneficial mutation on the genetic makeup of a large, sexually reproducing haploid population within a biparental Moran model framework.

Contribution

It introduces a model analyzing the influence of an advantageous mutant on population genetics over time in a biparental Moran setting.

Findings

The advantageous mutation increases in frequency over time.

The mutation's effect persists in the population's genetic composition.

Mathematical analysis of the mutation's fixation probability.

Abstract

We consider a population of haploid individuals reproducing sexually, i.e. for which the genome of each individual is a random mixture of the genome of its two parents. We assume that initially one individual carries a mutation at one locus, and that individuals carrying this mutation have an advantage regarding genome transmission. Our aim is to study the long time effect of this mutation on the genetic composition of the population, when population size is large.