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  Counterintuitive properties of the fixation time in network-structured populations

Hindersin, L., & Traulsen, A. (2014). Counterintuitive properties of the fixation time in network-structured populations. Journal of the Royal Society Interface, 11(99): 20140606. doi:10.1098/rsif.2014.0606.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-C37A-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-D7EF-F
Genre: Journal Article

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Hindersin, Laura1, Author              
Traulsen, Arne1, Author              
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1Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: evolution on static networks; fixation time; evolutionary graph theory
 Abstract: Evolutionary dynamics on graphs can lead to many interesting and counterintuitive findings. We study the Moran process, a discrete time birth–death process, that describes the invasion of a mutant type into a population of wild-type individuals. Remarkably, the fixation probability of a single mutant is the same on all regular networks. But non-regular networks can increase or decrease the fixation probability. While the time until fixation formally depends on the same transition probabilities as the fixation probabilities, there is no obvious relation between them. For example, an amplifier of selection, which increases the fixation probability and thus decreases the number of mutations needed until one of them is successful, can at the same time slow down the process of fixation. Based on small networks, we show analytically that (i) the time to fixation can decrease when links are removed from the network and (ii) the node providing the best starting conditions in terms of the shortest fixation time depends on the fitness of the mutant. Our results are obtained analytically on small networks, but numerical simulations show that they are qualitatively valid even in much larger populations.

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 Dates: 2014-06-062014-07-252014-08-20
 Publication Status: Published online
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 Identifiers: DOI: 10.1098/rsif.2014.0606
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Title: Journal of the Royal Society Interface
Source Genre: Journal
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Publ. Info: London : Royal Society
Pages: - Volume / Issue: 11 (99) Sequence Number: 20140606 Start / End Page: - Identifier: ISSN: 1742-5689 (print)
ISSN: 1742-5662 (online)
CoNE: /journals/resource/1000000000018840_2