Natural selection for within-generation variance in offspring number II. Discrite haploid models.

Genetics
J H Gillespie

Abstract

In the classical model of genetic drift in population genetics theory, use is made of a hypothetical "infinite-gametic pool". If, instead, the gametic pool is determined by the random number of offspring per individual, a new form of natural selection acting on the variance in offspring number occurs. A diffusion model of this selection process is derived and some of its properties are explored. It is shown that, independent of the sampling scheme used, the diffusion equation has the drift coefficient M(p) = p(1-p) (mul--mu2 + sigma2e2--sigma2el) and the diffusion coefficient v(p) equals p(1-p) [psigma2e2 + (l--p)sigma2el]. It is also pointed out that the Direct Product Branching process model of genetic drift introduces a non-biological interaction between individuals and is thus inappropriate for modeling natural selection.

Citations

Oct 13, 2009·Evolution; International Journal of Organic Evolution·Yngvild VindenesBernt-Erik Saether
Aug 4, 2010·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Laurent Lehmann, François Rousset
Apr 6, 2011·Proceedings of the National Academy of Sciences of the United States of America·Zhi Wang, Jianzhi Zhang
Jun 22, 2011·Proceedings of the National Academy of Sciences of the United States of America·Dustin R Rubenstein
Aug 30, 2011·Genetica·Jostein Starrfelt
Mar 13, 2012·Biological Reviews of the Cambridge Philosophical Society·Jostein Starrfelt, Hanna Kokko
Jul 28, 2012·Theoretical Population Biology·Michael ManhartAlexandre V Morozov
Oct 12, 2012·Bulletin of Mathematical Biology·József Garay, Tamás F Móri

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