A simple expression for the strength of selection on recombination generated by interference among mutations

One of the most widely cited hypotheses to explain the evolutionary maintenance of genetic recombination states that the reshuffling of genotypes at meiosis increases the efficiency of natural selection by reducing interference among selected loci. However, and despite several decades of theoretical work, a quantitative estimation of the possible selective advantage of a mutant allele increasing chromosomal map length (the average number of crossovers at meiosis) remains difficult. This article derives a simple and accurate expression for the strength of selection acting on a modifier gene affecting the genetic map length of a whole chromosome or genome undergoing recurrent mutation. In particular, it shows that indirect selection for recombination caused by interference among mutations is proportional to (NeU)2 / (NeR)3, where Ne is the effective population size, U the deleterious mutation rate per chromosome and R the chromosome map length. Indirect selection is relatively insensitive...