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Main Authors: Herrerías-Azcué, Francisco, Pérez-Muñuzuri, Vicente, Galla, Tobias
Format: Preprint
Published: 2017
Subjects:
Online Access:https://arxiv.org/abs/1709.10442
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author Herrerías-Azcué, Francisco
Pérez-Muñuzuri, Vicente
Galla, Tobias
author_facet Herrerías-Azcué, Francisco
Pérez-Muñuzuri, Vicente
Galla, Tobias
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1709_10442
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle Fast flowing populations are not well mixed
Herrerías-Azcué, Francisco
Pérez-Muñuzuri, Vicente
Galla, Tobias
Populations and Evolution
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.
title Fast flowing populations are not well mixed
topic Populations and Evolution
url https://arxiv.org/abs/1709.10442