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Application of a Markovian process to the calculation of mean time equilibrium in a genetic drift model

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  • Martin Rios
  • Toni Monleon-Getino

Abstract

The most common phenomena in the evolution process are natural selection and genetic drift. In this article, we propose a probabilistic method to calculate the mean and variance time for random genetic drift equilibrium, measured as number of generations, based on Markov process and a complex probabilistic model. We studied the case of a constant, panmictic population of diploid organisms, which had a demonstrated lack of mutation, selection or migration for a determined autonomic locus, and two possible alleles, H and h. The calculations presented in this article were based on a Markov process. They explain how genetic and genotypic frequencies changed in different generations and how the heterozygote alleles became extinguished after many generations. This calculation could be used in more evolutionary applications. Finally, some simulations are presented to illustrate the theoretical calculations presented using different basal situations.

Suggested Citation

  • Martin Rios & Toni Monleon-Getino, 2010. "Application of a Markovian process to the calculation of mean time equilibrium in a genetic drift model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 501-513.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:3:p:501-513
    DOI: 10.1080/02664760902889981
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