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Spatial dilemmas of diffusible public goods.

Authors
Type
Published Article
Journal
eLife
2050-084X
Publisher
"eLife Sciences Organisation, Ltd."
Publication Date
Volume
2
Identifiers
DOI: 10.7554/eLife.01169
PMID: 24347543
Source
Medline
Keywords
  • Cooperation
  • Evolutionary Graph Theory
  • Microbial Evolution
  • Social Multiplier

Abstract

The emergence of cooperation is a central question in evolutionary biology. Microorganisms often cooperate by producing a chemical resource (a public good) that benefits other cells. The sharing of public goods depends on their diffusion through space. Previous theory suggests that spatial structure can promote evolution of cooperation, but the diffusion of public goods introduces new phenomena that must be modeled explicitly. We develop an approach where colony geometry and public good diffusion are described by graphs. We find that the success of cooperation depends on a simple relation between the benefits and costs of the public good, the amount retained by a producer, and the average amount retained by each of the producer's neighbors. These quantities are derived as analytic functions of the graph topology and diffusion rate. In general, cooperation is favored for small diffusion rates, low colony dimensionality, and small rates of decay of the public good. DOI: http://dx.doi.org/10.7554/eLife.01169.001.

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