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  Population size changes and extinction risk of populations driven by mutant interactors

Park, H. J., Pichugin, Y., Huang, W., & Traulsen, A. (2019). Population size changes and extinction risk of populations driven by mutant interactors. Physical Review E, 99: 022305. doi:10.1103/PhysRevE.99.022305.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-25E7-F Version Permalink: http://hdl.handle.net/21.11116/0000-0003-25E8-E
Genre: Journal Article

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Park, Hye Jin1, Author              
Pichugin, Yuriy1, Author              
Huang, Weini1, Author              
Traulsen, Arne1, Author              
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1Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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 Abstract: Spontaneous random mutations are an important source of variation in populations. Many evolutionary models consider mutants with a fixed fitness, chosen from a fitness distribution without considering microscopic interactions among the residents and mutants. Here, we go beyond this and consider “mutant interactors,” which lead to new interactions between the residents and invading mutants that can affect the population size and the extinction risk of populations. We model microscopic interactions between individuals by using a dynamic interaction matrix, the dimension of which increases with the emergence of a new mutant and decreases with extinction. The new interaction parameters of the mutant follow a probability distribution around the payoff entries of its ancestor. These new interactions can drive the population away from the previous equilibrium and lead to changes in the population size. Thus, the population size is an evolving property rather than an externally controlled variable. We calculate the average population size of our stochastic system over time and quantify the extinction risk of the population by the mean time to extinction.

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Language(s): eng - English
 Dates: 2018-08-172019-02-062019-02
 Publication Status: Published in print
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 Identifiers: DOI: 10.1103/PhysRevE.99.022305
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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: 13 Volume / Issue: 99 Sequence Number: 022305 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012