title: Markov model of haploid random mating with given distribution of population size.
abstract: An exact Markov chain model is formulated and computed for random mating in a haploid gamete pool. There are two versions of the gamete, and there is a finite number of diploid monoecious organisms. The founder population is given, and the subsequent generations allow a prescribed statistical distribution over different population sizes. The non-homogeneous Markov chain works on the haploid gamete level provided the probability of self-fertilization is 1/n, where n is the number of diploid individuals. Standard deviations of gamete frequencies and fixation probabilities are calculated. Effective population sizes for different population size distributions are estimated, including periodic bottlenecks.
authors.affiliation: Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P.O. Box 5003, 1432, As, Norway.
authors.forename: Peder A
authors.initials: PA
authors.lastname: Tyvand
authors.forename: Steinar
authors.initials: S
authors.lastname: Thorvaldsen
mesh_terms: D005828:Genetics, Population; D006238:Haploidy; D008390:Markov Chains; D008433:Mathematics; D008957:Models, Genetic; D010944:Plants / Q000235:genetics*; D012098:Reproduction / Q000235:genetics; D013269:Stochastic Processes