The Role of Crossover in Inbreeding

Abstract

Suppose there is a male individual M of a species with some good quality, and it is hoped to produce copies of M through the following inbreeding method: Have this individual M mate with a female individual, whose offspring are referred to as first-generation individuals. And then, have the male M mate with a first-generation female individual, whose offspring are called second- generation individuals. And then, have M mate with a second-generation female individual, and so forth. The question is: What is the probability that an n-th generation individual is an identical copy of M? It is trivial if there is no DNA crossover. In the talk we will discuss the calculations of the probabilities of interest under the situation that there are crossovers.