کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4502282 | 1624149 | 2015 | 11 صفحه PDF | دانلود رایگان |
In a (two-type) Wright–Fisher diffusion with directional selection and two-way mutation, let xx denote today’s frequency of the beneficial type, and given xx, let h(x)h(x) be the probability that, among all individuals of today’s population, the individual whose progeny will eventually take over in the population is of the beneficial type. Fearnhead (2002) and Taylor (2007) obtained a series representation for h(x)h(x). We develop a construction that contains elements of both the ancestral selection graph and the lookdown construction and includes pruning of certain lines upon mutation. Besides being interesting in its own right, this construction allows a transparent derivation of the series coefficients of h(x)h(x) and gives them a probabilistic meaning.
Journal: Theoretical Population Biology - Volume 103, August 2015, Pages 27–37