The Moran process on 2-chromatic graphs.

The Moran process on 2-chromatic graphs.

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Resources are rarely distributed uniformly within a population.Heterogeneity in the concentration of a drug, the quality of breeding sites, or wealth can all affect evolutionary dynamics.In this study, we represent a collection of properties affecting the fitness at a given location using a color.A green node is rich in resources while a red node is poorer.

More colors superdry baseball top can represent a broader spectrum of resource qualities.For a population evolving according to the birth-death Moran model, the first question we address is which structures, identified by graph connectivity click here and graph coloring, are evolutionarily equivalent.We prove that all properly two-colored, undirected, regular graphs are evolutionarily equivalent (where "properly colored" means that no two neighbors have the same color).We then compare the effects of background heterogeneity on properly two-colored graphs to those with alternative schemes in which the colors are permuted.

Finally, we discuss dynamic coloring as a model for spatiotemporal resource fluctuations, and we illustrate that random dynamic colorings often diminish the effects of background heterogeneity relative to a proper two-coloring.