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Thou Shalt not Diversify: Why ‘Two Of Every Sort’?

Part of: Stochastic processes Mathematical biology in general Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Rustam Ibragimov
Rustam Ibragimov*
Affiliation:
Harvard University
*
∗ Postal address: Department of Economics, Harvard University, Littauer Center, 1875 Cambridge Street, Cambridge, MA 02138, USA. Email address: ribragim@fas.harvard.edu
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Abstract

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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.

Keywords

Multisex inheritance modelmultifactorial inheritancephenotypic traitheritabilitytime series

MSC classification

Primary: 60E05: Distributions 60G07: General theory of processes 92B05: General biology and biomathematics 92D15: Problems related to evolution
Type
Research Article
Information
Journal of Applied Probability , Volume 44 , Issue 1 , March 2007 , pp. 58 - 70
Copyright
Copyright © Applied Probability Trust 2007 

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