Fast flowing populations are not well mixed

Abstract

In evolutionary dynamics, well-mixed populations are almost always associated with all-to-all interactions; mathematical models are based on complete graphs. In most cases, these models do not predict fixation probabilities in groups of individuals mixed by flows. We propose an analytical description in the fast-flow limit. This approach is valid for processes with global and local selection, and accurately predicts the suppression of selection as competition becomes more local. It provides a modelling tool for biological or social systems with individuals in motion.

arXiv comment19 pages, 8 figures

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Cited by in corpus (7)

• Toward a universal model for spatially structured populations
• Hydrodynamic flow and concentration gradients in the gut enhance neutral bacterial diversity
• Fixation Probabilities in Weakly Compressible Fluid Flows
• Frequent asymmetric migrations suppress natural selection in spatially structured populations
• Turbulent coherent structures and early life below the Kolmogorov scale
• The Moran process on 2-chromatic graphs
• Motion, fixation probability and the choice of an evolutionary process