Local frequency dependence and global coexistence

Jane Molofsky, Richard Durrett, Jonathan Dushoff, David Griffeath, Simon Asher Levin

Research output: Contribution to journalArticlepeer-review

71 Scopus citations


In sessile organisms such as plants, interactions occur locally so that important ecological aspects like frequency dependence are manifest within local neighborhoods. Using probabilistic cellular automata models, we investigated how local frequency-dependent competition influenced whether two species could coexist. Individuals of the two species were randomly placed on a grid and allowed to interact according to local frequency-dependent rules. For four different frequency-dependent scenarios, the results indicated that over a broad parameter range the two species could coexist. Comparisons between explicit spatial simulations and the mean-field approximation indicate that coexistence occurs over a broader region in the explicit spatial simulation.

Original languageEnglish (US)
Pages (from-to)270-282
Number of pages13
JournalTheoretical Population Biology
Issue number3
StatePublished - Jun 1999

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics


  • Coexistence
  • Frequency dependence
  • Local competition
  • Probabilistic cellular automata models


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