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  Extinction dynamics from metastable coexistences in an evolutionary game

Park, H. J., & Traulsen, A. (2017). Extinction dynamics from metastable coexistences in an evolutionary game. Physical Review E, 96: 042412. doi:10.1103/PhysRevE.96.042412.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-2775-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-CC42-C
Genre: Journal Article

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 Creators:
Park, Hye Jin1, Author              
Traulsen, Arne1, Author              
Affiliations:
1Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: Population statistics; Stochastic systems; Brillouin; Classical mechanics; Evolutionary games; Population sizes; Stochastic evolutionary model; Stochasticity; WKB method; Stochastic models
 Abstract: Deterministic evolutionary game dynamics can lead to stable coexistences of different types. Stochasticity, however, drives the loss of such coexistences. This extinction is usually accompanied by population size fluctuations. We investigate the most probable extinction trajectory under such fluctuations by mapping a stochastic evolutionary model to a problem of classical mechanics using the Wentzel-Kramers-Brillouin (WKB) approximation. Our results show that more abundant types in a coexistence may be more likely to go extinct first, in good agreement with previous results. The distance between the coexistence and extinction points is not a good predictor of extinction either. Instead, the WKB method correctly predicts the type going extinct first. © 2017 American Physical Society.

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Language(s): eng - English
 Dates: 2017-07-042017-10-302017
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1103/PhysRevE.96.042412
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 96 Sequence Number: 042412 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: /journals/resource/954925225012