title: Some aspects of a stochastic two locus selfing genetic model with selection and computer simulation.
abstract: The present paper examines a specific genetic model as a finite Markov process, using the normal matrix approach. This model is the two locus selfing model with selection studied by Tan (1973), who used an eigenvalue approach. The properties of the process are analytically and numerically investigated and the effects of selection and cross-over on the transition from a heterozygotic parent through several generations of heterozygotic progeny are assessed. These results enlarge upon Tan's work and, in addition, present two new aspects of the model. In particular (1) the expected number of generations of heterozygotic progeny of genotype j that will descend from a heterozygotic parent of genotype i and (2) the variance of this number of generations about the mean value have not been previously considered.
mesh_terms: D003434:Crossing Over, Genetic; D005823:Genetics; D006579:Heterozygote; D008433:Mathematics; D011336:Probability; D012641:Selection, Genetic