Evolutionary dynamics on any population structure

Benjamin Allen Gabor Lippner Yu-Ting Chen Babak Fotouhi Naghmeh Momeni Shing-Tung Yau Martin A Nowak

Statistics Theory and Methods mathscidoc:1912.43500

Nature, 544, (7649), 227, 2017.4
Evolution occurs in populations of reproducing individuals. The structure of a population can affect which traits evolve 1, 2. Understanding evolutionary game dynamics in structured populations remains difficult. Mathematical results are known for special structures in which all individuals have the same number of neighbours 3, 4, 5, 6, 7, 8. The general case, in which the number of neighbours can vary, has remained open. For arbitrary selection intensity, the problem is in a computational complexity class that suggests there is no efficient algorithm 9. Whether a simple solution for weak selection exists has remained unanswered. Here we provide a solution for weak selection that applies to any graph or network. Our method relies on calculating the coalescence times 10, 11 of random walks 12. We evaluate large numbers of diverse population structures for their propensity to favour cooperation. We study how small
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  title={Evolutionary dynamics on any population structure},
  author={Benjamin Allen, Gabor Lippner, Yu-Ting Chen, Babak Fotouhi, Naghmeh Momeni, Shing-Tung Yau, and Martin A Nowak},
Benjamin Allen, Gabor Lippner, Yu-Ting Chen, Babak Fotouhi, Naghmeh Momeni, Shing-Tung Yau, and Martin A Nowak. Evolutionary dynamics on any population structure. 2017. Vol. 544. In Nature. pp.227. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203628462056064.
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