Recombination between several polyploid loci (Q1107467)

Genetic algebra is used to study a population genetics model on polyploidy. The authors consider a 2n-ploid population with k linked loci and describe recombination and segregation as follows: Recombination between 2n chromosomes is determined by means of recombination matrices \(S=(S_{ij})\), where \(S_{ij}\) denotes the set of those loci from the i-th chromosome of a zygote that are transmitted to the j-th chromosome of the gamete that it produces (for \(i=1,...,2n\), \(j=1,...,n).\) Moreover, to all possible recombination matrices probabilities are assigned which enable the definition of a genetic algebra. This multilocus polyploid algebra turns out to be a Schafer algebra and generalizes the algebra for diploidy studied earlier by the authors.