Destination populations tend to inherit origin population dynamics when linking populations with different model parametrizations. As in Fig \ref{621939}, rows correspond to population classes, but here, columns indicate network structure. While in isolation (left column), population A has cyclical dynamics and population B has steady-state dynamics, when the two populations are linked by migration, the destination population inherits the dynamics of the origin population (center and right columns). This is true regardless of the direction of the movement (depending on the level of migration; see supporting information Fig \ref{175706}). Populations A and B have parameters σ = 8, μ = 0.1, δ = 0.05, and γ = 0.66 in common and β chosen to reflect \(\tilde{R_0}\) = 2 and 5, respectively. We use a two-loci, two-allele strain structure, but show only one strain for clarity.