Summary
We study the progress towards equilibrium of the frequencies of sex-linked genes in elementary discrete time models of age-structured, overlapping generation populations. It is found that, if a finite upper age limit is assumed, the difference in the frequencies of an allele in males and females will oscillate as in the familiar non-overlapping generation models, although the oscillations may be irregular. Monotonic convergence of that difference, as found by Nagylaki (1975) in continuous-time overlapping generation models without age-structure, occurs in the models considered here only when there is no upper age limit and when there is “ sufficient “ overlap of generations.
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References
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Cornette, J. Sex-linked genes in age-structured populations. Heredity 40, 291–297 (1978). https://doi.org/10.1038/hdy.1978.28
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DOI: https://doi.org/10.1038/hdy.1978.28
