An elementary mathematical theory based on a “selectivity-variability” principle is proposed to address a question raised by Charles Darwin, namely, how one sex of a sexually dimorphic species might tend to evolve with greater variability than the other sex. Two mathematical models of the principle are presented: a discrete-time one-step probabilistic model of the short-term behavior of the subpopulations of a given sex, with an example using normally distributed perceived fitness values; and a continuous-time deterministic coupled ODE model for the long-term asymptotic behavior of the expected sizes of the subpopulations, with an example using exponentially distributed fitness levels.



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Publisher Statement

This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Interdisciplinary Mathematics on July 22020, available online: https://www.tandfonline.com/doi/abs/10.1080/09720502.2020.1769827

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Mathematics Commons


URL: https://digitalcommons.calpoly.edu/rgp_rsr/89