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Abstract. Several exact Markov chain models are formulated for haploid, diploid, haplodiploid and bisexual random mating, including Wright-Fisher models and Moran models. The founder population is given, and the Wright-Fisher model allows the population size to change with the generations. Bottlenecks, endangered species and social insect populations (bees) may be studied. Expected genotype frequencies, their standard deviations and fixation probabilities are calculated. The population models are implemented in Matlab, and the routines can be downloaded from this site.
Papers:
* P.A. Tyvand and S. Thorvaldsen: “Wright–Fisher model of social insects with haploid males and diploid females.” J. theor. Biol. 266 (2010), 470-478.
* P.A. Tyvand and S. Thorvaldsen: “Exact Markov chains versus diffusion theory for haploid random mating.” Mathematical Biosciences. 225 (2010), 18-23.
* P.A. Tyvand and S. Thorvaldsen: “A sexually neutral discrete Marko