Recombination processes and ancestral partitioning

遗传变异是种群遗传变异的主要来源。它发生在有性生殖过程中，导致父母双方的遗传物质“改组”成后代个体的类型。更准确地说，母本和父本序列进行一次或多次交换，并相应地被切割和重新连接，这导致遗传物质的相互交换。（它描述了有限种群中随机繁殖和重组的联合作用）和相应的祖先划分过程，如果从今天的种群中提取个体的遗传物质追溯到过去，就会出现这种情况。我们还将考虑选择和叠加突变的额外效应。重点将放在制度的高复合率，也就是说，在法律的大数和温和的复合扩散限制。

Recombination is a major source of genetic variability in populations. It occurs during sexual reproduction and leads to the `reshuffling' of the genetic material of two parents into the type of an offspring individual. More precisely, the maternal and paternal sequences perform one or more crossovers and are cut and relinked accordingly, which results in a reciprocal exchange of genetic material.The main objective of the proposed project is to further analyse the Moran model with recombination (which describes the joint action of random reproduction and recombination in a finite population) and the corresponding ancestral partitioning process, which emerges if the genetic material of individuals taken from a population today are traced back into the past. We will also take into account the additional effects of selection and of superimposed mutation. Emphasis will be on the regime of high recombination rates, that is, on the law of large numbers and the moderate-recombination diffusion limit.