Markovian processes in aneuploids: I. Diploid populations.

The case of diploid selfing organisms which present monosomy and nullisomy for a certain pair of homologous chromosomes is considered. Three cases of dominance for fitness (i) no dominance, (ii) complete dominance and, (iii) overdominance are considered. Expressions for the average, coefficient of variation and coefficient of asymmetry for distribution which represent the number of generations needed to reach an absorbing state for a process which begins in a transient state are obtained. Expressions for the parameters are from by the application of Markov's theory of chains which was developed by Kemeny & Snell (1960, Finite Markov Chains, Princeton, NJ: Van Nostrand) and Bosso et al. (1969, Biometrics 22, 17-26).