A Symmetry of Fixation Times in Evoultionary Dynamics

 
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Iwasa, Yoh
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https://doi.org/10.1016/j.jtbi.2006.06.016
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Taylor, Christine, Yoh Iwasa, and Martn A. Nowak. 2006. A symmetry of fixation times in evolutionary dynamics. Journal of Theoretical Biology 243(2): 245-251.
Abstract
In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright–Fisher models, nor when the mutants start from multiple copies.
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http://nrs.harvard.edu/urn-3:HUL.InstRepos:4133283

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