Competition and cooperation in one-dimensional stepping stone models

Abstract

Cooperative mutualism is a major force driving evolution and sustaining ecosystems. Although the importance of spatial degrees of freedom and number fluctuations is well-known, their effects on mutualism are not fully understood. With range expansions of microbes in mind, we show that, even when mutualism confers a distinct selective advantage, it persists only in populations with high density and frequent migrations. When these parameters are reduced, mutualism is generically lost via a directed percolation process, with a phase diagram strongly influenced by an exceptional DP2 transition.

8 pages, 4 figures

References in corpus (3)

• Genetic drift at expanding frontiers promotes gene segregation
• Effect of spatial structure on the evolution of cooperation
• Langevin description of critical phenomena with two symmetric absorbing states

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