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A sexually neutral discrete Markov model for given sum males + females
Peder A Tyvand1, Steinar Thorvaldsen
1Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P.O. Box 5003, 1432 As, Norway.
Abstract:
An inhomogeneous discrete Markov model is formulated for sexual random mating with diploid male and female individuals. The generations are nonoverlapping and of given sizes. The genetic variation is in a sexually neutral allele with two varieties, giving three different genotypes. Taking sex as a marker, the Markov model works with six genotypes. The sex of each offspring is random. This implies a probability of extinction, giving the model an algorithmic nature. We compute expected genotype frequencies, their standard deviations and fixation probabilities.
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