Recombination processes and ancestral partitioning

重组是群体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“重组”为后代个体的类型。更准确地说，母系和父系序列进行一次或多次交叉，并相应地切割和重新连接，从而导致遗传物质的相互交换。拟议项目的主要目标是进一步分析Moran模型的重组（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的个体遗传物质追溯到过去，就会出现这种情况。我们还将考虑到选择和叠加突变的附加效应。重点将放在高复合率的情况下，即大数定律和中等复合扩散极限。

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.