RT Journal Article
T1 Stirring does not make populations well mixed
A1 Herrerías Azcué, Francisco
A1 Pérez Muñuzuri, Vicente
A1 Galla, Tobias
K1 Population dynamics
K1 Statistical physics
AB In evolutionary dynamics, the notion of a ‘well-mixed’ population is usually associated with all-to-all interactions at all times. This assumption simplifies the mathematics of evolutionary processes, and makes analytical solutions possible. At the same time the term ‘well-mixed’ suggests that this situation can be achieved by physically stirring the population. Using simulations of populations in chaotic flows, we show that in most cases this is not true: conventional well-mixed theories do not predict fixation probabilities correctly, regardless of how fast or thorough the stirring is. We propose a new 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.
PB Nature Publishing Group
YR 2018
FD 2018
LK http://hdl.handle.net/10347/22807
UL http://hdl.handle.net/10347/22807
LA eng
NO Herrerías-Azcué, F., Pérez-Muñuzuri, V. & Galla, T. Stirring does not make populations well mixed. Sci Rep 8, 4068 (2018). https://doi.org/10.1038/s41598-018-22062-w
NO FHA thanks Consejo Nacional de Ciencia y Tecnología (CONACyT, Mexico) for support. VPM acknowledges support by Ministerio de Economía y Competitividad and Xunta de Galicia (MAT2015-71119-R, GPC2015/014), contributions by COST Action MP1305 and CRETUS Strategic Partnership (AGRUP2015/02)
DS Minerva
RD 28 abr 2026