On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size--a branching process model
Eshel, I.
Journal of Mathematical Biology 12(3): 355-362
1981
ISSN/ISBN: 0303-6812 PMID: 7288335 DOI: 10.1007/bf00276922Document Number: 402249
Using a Galton-Watson process, it was shown that the approximation 1 - u = (2s/ sigma 2) + o(s), where u = the extinction probability of the mutant, s = the selection coefficient and o(s) is progeny number of a parent, is mathematically invalid. However, the approximation was shown to be valid for a set of families of progeny distributions, and, even though mathematically incorrect, may be accepted for most biological situations.
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