Population Genetics with Fluctuating Population Sizes

Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population sizes and reproduces the standard neutral evolution is reviewed. We then study a situation such that the competing specie...

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Published in:Journal of statistical physics 2017-05, Vol.167 (3-4), p.777-791
Main Authors: Chotibut, Thiparat, Nelson, David R.
Format: Article
Language:English
Subjects:
Adiabatic flow
Analysis
Fixation
Genetics
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Population genetics
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Variation
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description Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population sizes and reproduces the standard neutral evolution is reviewed. We then study a situation such that the competing species are neutral at the equilibrium population size but population size fluctuations nevertheless favor fixation of one species over the other. In this case, a separation of timescales emerges naturally and allows adiabatic elimination of a fast population size variable to deduce the fluctuation-induced selection dynamics near the equilibrium population size. The results highlight the incompleteness of the standard population genetics with a strictly fixed population size.
doi_str_mv 10.1007/s10955-017-1741-y
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subjects Adiabatic flow
Analysis
Fixation
Genetics
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Population genetics
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Variation
title Population Genetics with Fluctuating Population Sizes
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