Journal of Applied Probability

Thou shalt not diversify: why `two of every sort'?

Rustam Ibragimov

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This paper presents a study of the intertemporal propagation of distributional properties of phenotypes in general polygenic multisex inheritance models with sex- and time-dependent heritabilities. It further analyzes the implications of these models under heavy-tailedness of traits' initial distributions. Our results suggest the optimality of a flexible asexual/binary mating system. Switching between asexual and binary inheritance mechanisms allows the population effectively to achieve a fast suppression of negative traits and a fast dispersion of positive traits, regardless of the distributional properties of the phenotypes in the initial period.

Article information

J. Appl. Probab. Volume 44, Number 1 (2007), 58-70.

First available in Project Euclid: 30 March 2007

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60E05: Distributions: general theory 60G07: General theory of processes 92B05: General biology and biomathematics 92D15: Problems related to evolution

Multisex inheritance model multifactorial inheritance phenotypic trait heritability time series


Ibragimov, Rustam. Thou shalt not diversify: why `two of every sort'?. J. Appl. Probab. 44 (2007), no. 1, 58--70. doi:10.1239/jap/1175267163.

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