Stochastic evolutionary dynamics on two levels

Arne Traulsen, Anirvan Sengupta, Martin A. Nowak

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We consider a population that is subdivided into groups. Individuals reproduce proportional to their fitness. When a group reaches a certain size it has a probability to split into two groups while another group is eliminated. In this stochastic process, the number of groups is constant, while the total population size fluctuates between well-defined bounds. We calculate the fixation probability of newly introduced mutants under constant selection. We show that the described population structure acts as a suppressor of selection compared to an unstructured population of the same size. The maximum suppression of selection is obtained, when the number of groups equals the number of individuals per group. We also study opposing selection on two or more levels by analysing the evolutionary dynamics of hierarchically embedded Moran processes.

Original languageEnglish (US)
Pages (from-to)393-401
Number of pages9
JournalJournal of Theoretical Biology
Volume235
Issue number3
DOIs
StatePublished - Aug 7 2005

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Evolutionary Dynamics
Stochastic Dynamics
Population Density
population size
Stochastic Processes
stochastic processes
Random processes
Population
population structure
mutants
Population Structure
Fixation
Population Size
Mutant
Fitness
Well-defined
Directly proportional
Calculate

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)
  • Applied Mathematics
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Statistics and Probability
  • Modeling and Simulation

Keywords

  • Group selection
  • Moran process

Cite this

Traulsen, Arne ; Sengupta, Anirvan ; Nowak, Martin A. / Stochastic evolutionary dynamics on two levels. In: Journal of Theoretical Biology. 2005 ; Vol. 235, No. 3. pp. 393-401.
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Stochastic evolutionary dynamics on two levels. / Traulsen, Arne; Sengupta, Anirvan; Nowak, Martin A.

In: Journal of Theoretical Biology, Vol. 235, No. 3, 07.08.2005, p. 393-401.

Research output: Contribution to journalArticle

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