Summary
Neglecting age-structure, but taking into account matings with differential fertility in Mendelian reproduction, a continuous selective model is formulated for a single X-linked locus with an arbitrary number of alleles. Without restricting the mating system, differential equations are derived for the genotypic and allelic frequencies. Assuming random mating, no selection, and constant fertilities and mortalities, these differential equations are solved explicitly. For this case, in contrast to the corresponding phenomenon in the usual model with discrete, non-overlapping generations, the difference between the frequencies of any allele in males and females approaches zero without oscillation.
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References
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Paper Number 1750 from the Genetics Laboratory, University of Wisconsin. Supported by the National Institutes of Health (Grant GM-15422).
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Nagylaki, T. A continuous selective model for an X-linked locus. Heredity 34, 273–278 (1975). https://doi.org/10.1038/hdy.1975.31
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DOI: https://doi.org/10.1038/hdy.1975.31
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