Dying on the way: the influence of migrational mortality on clines

Theoretical Population Biology
T Nagylaki

Abstract

Migrational mortality is introduced into the classical single-locus model for migration and selection. Genotype-independent migration follows selection, which may be soft or hard. For soft selection, the effect of mortality on the backward migration matrix is the same as in the Malécot model; for hard selection, some neutral results still hold, but some do not. For two diallelic demes, mortality can increase or decrease the stringency of the condition for protecting an allele from loss. In the discrete-space, continuous-time limit, mortality increases the diagonal elements of the migration rate matrix and decreases its off-diagonal elements. Were it not for the same result in the Malécot model, it would be surprising that mortality does not alter the general diffusion limit for multiple alleles, arbitrary multidimensional migration, and arbitrary selection.

References

Jan 1, 1996·Journal of Mathematical Biology·T Nagylaki
Sep 19, 2001·Theoretical Population Biology·T Nagylaki, Y Lou
Jan 1, 1955·Cold Spring Harbor Symposia on Quantitative Biology·E R DEMPSTER
May 2, 2007·Theoretical Population Biology·Thomas Nagylaki, Yuan Lou
Jun 6, 2009·Theoretical Population Biology·Thomas Nagylaki
Feb 11, 2014·Theoretical Population Biology·Thomas Nagylaki, Kai Zeng
Jun 20, 2014·Theoretical Population Biology·Thomas NagylakiTodd F Dupont

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Citations

Jan 26, 2016·Theoretical Population Biology·Thomas Nagylaki
Apr 4, 2009·PLoS Computational Biology·Florence DébarreSylvain Gandon
Nov 17, 2015·PLoS Genetics·Peter L Ralph, Graham Coop
Jul 16, 2019·Theoretical Population Biology·Thomas NagylakiTodd F Dupont

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