Evolutionary Dynamics in a Varying Environment: Continuous versus Discrete Noise

Abstract

Environmental variations can significantly influence how populations compete for resources, and hence shape their evolution. Here, we study population dynamics subject to a fluctuating environment modeled by a varying carrying capacity changing continuously in time according to either binary random switches, or by being driven by a noise of continuous range. We consider a prototypical example of two competing strains, one growing slightly slower than the other, and consider also the scenario where the slow strain is a public goods producer. By systematically comparing the effect of binary- versus continuously-varying environment, we study how different noise statistics (mean, variance) influence the population size and fixation properties. We show that the slow strain fixation probability can be greatly enhanced for a continuously-varying environment compared to binary switches, even when the first two moments of the carrying capacity coincide.

arXiv comment6 pages, 3 figures + Supplemental Material

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• Eco-evolutionary dynamics of cooperative antimicrobial resistance in a population of fluctuating volume and size
• Slow spatial migration can help eradicate cooperative antimicrobial resistance in time-varying environments
• Fixation and extinction in time-fluctuating spatially structured metapopulations
• Parametric resonance, chaos and spatial structure in the Lotka-Volterra model