Genes as Cues of Relatedness and Social Evolution in Heterogeneous Environments
Fig 2
Evolutionary equilibrium dimorphisms.
The equilibrium dimorphisms z1 and z2, color coded blue and red, are plotted as functions of the rate of recombination ρ between cue and modifier loci. The two habitats differ in the size of social groups, with N1 = 20 and N2 = 2, resulting in lower relatedness in habitat 1 (r1 = 0.05) than in habitat 2 (r2 = 0.5). Three examples are shown, labeled with the rate of migration between habitats: m12 = m21 = m = 0.01, 0.05, 0.10. The total population size is the same in both habitats, and the parameters for the public goods game are also the same: W1 = W2 = 0.5, b1 = b2 = 3.0, c1 = c2 = 1.5. The gray horizontal line shows the equilibrium of gradual evolution in a monomorphic population, which does not depend on m or ρ. The dark gray points (with error bars) at ρ = 0.0 and ρ = 0.5, shifted slightly left and right for visibility, show mean and standard deviation of the average phenotype over 10 replicate individual-based evolutionary simulations. In these simulations, ag in Eq (5) was encoded by a single locus whereas a0 was kept at a fixed value (see S1 Text for further explanation).