Abstract

Leslie's discrete time theory of population growth is applied to genetic populations reproducing wholly by selfing. If there is selection, but no mutation, the number of individuals having a particular genotype usually has a long run steady rate of geometric increase, which we call the Malthusian parameter of the genotype. If the population size changes slowly, the rate of change in the mean of the Malthusian parameters tends, as time increases, to the variance of the Malthusian parameters. If, however, mutations of all kinds are possible, the population has only one Malthusian parameter.

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