Constant-selection evolutionary dynamics on weighted networks

Abstract

The population structure often impacts evolutionary dynamics. In constant-selection evolutionary dynamics between two types, amplifiers of selection are networks that promote the fitter mutant to take over the entire population, and suppressors of selection do the opposite. It has been shown that most undirected and unweighted networks are amplifiers of selection under a common updating rule and initial condition. Here, we extensively investigate how edge weights influence selection on undirected networks. We show that random edge weights make small networks less amplifying than the corresponding unweighted networks in a majority of cases and also make them suppressors of selection (i.e., less amplifying than the complete graph, or equivalently, the Moran process) in many cases. Qualitatively, the same result holds true for larger empirical networks. These results suggest that amplifiers of selection are not as common for weighted networks as for unweighted counterparts.

References in corpus (17)

• Evolutionary dynamics of group interactions on structured populations: A review
• Estimating Potential Infection Transmission Routes in Hospital Wards Using Wearable Proximity Sensors
• Evolutionary dynamics on degree-heterogeneous graphs
• Most undirected random graphs are amplifiers of selection for Birth-death dynamics, but suppressors of selection for death-Birth dynamics
• The duality of spatial death-birth and birth-death processes and limitations of the isothermal theorem
• Evolutionary dynamics and fixation probabilities in directed networks
• Opinion control in complex networks
• Limits on amplifiers of natural selection under death-Birth updating
• Exact numerical calculation of fixation probability and time on graphs
• Transient amplifiers of selection and reducers of fixation for death-Birth updating on graphs
• Strategy equilibrium in dilemma games with off-diagonal payoff perturbations
• Heterogeneity in evolutionary games: an analysis of the risk perception
• Heterogeneity of link weight and the evolution of cooperation
• Suppressors of selection
• Fixation dynamics on hypergraphs
• Fixation probability in evolutionary dynamics on switching temporal networks
• Perturbation theory for evolution of cooperation on networks