• The conditional Markov chain in a genetic context

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    • Abstract


      A theory of the stochastic change in the frequency of a gene in finite populations conditional to its eventual fixation has been developed employing a Condiditional Markov Chain. The probability generating function of the distribution of time until fixation of a particular allele as well as the eigen-roots and eigenvectors of the conditional process with binomial transition probabilities have been studied. The theory has been applied to investigate the effect of linkage on the mean and standard deviation of time until fixation of a gamete in populations practising self-fertilization. It has been found that linkage decreases or increases the average and standard deviation of time to fixation of a coupled gamete according as the initial population consists of a coupling or repulsion heterozygote respectively.

    • Author Affiliations


      Prem Narain1

      1. Institute of Agricultural Research Statistics, Library Avenue, New Delhi - 110 012
    • Dates

  • Journal of Genetics | News

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      Posted on July 25, 2019

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