Application of Markov chains to linked genes with interference. II. Genotypic selection.
The case of a selfing population and three diallelic loci under genotypic selection is considered. Expressions are obtained for the mean number of times that a process passes through a transient state, for the mean number of generations needed to reach an absorbing state, and for other interesting parameters. The variates under analysis are the coefficient of coincidence, the probabilities of recombination, and the genotypic fitness. The expressions obtained allow the direct computation of the entries of the inverse matrices, avoiding the inverting routines that could present problems of ill-conditioning. Three types of inheritance for fitness are considered in a numerical application: no dominance, complete dominance, and overdominance. Finally, the possible existence of interaction between coincidence and dominance for fitness is analyzed.
Bartoloni
N J
NJ
Cátedra de Genética, Facultad de Agronomía, Universidad de Buenos Aires, Argentina.
D005799:Genes, Dominant; D008040:Genetic Linkage; D005828:Genetics, Population; D005838:Genotype; D008390:Markov Chains; D008957:Models, Genetic; D011995:Recombination, Genetic; D012641:Selection, Genetic