The issue of dynamics propagation gets more complicated when there are multiple, varying origin populations for a given destination population. We found that there is a hierarchy of dynamics in their propagation through the network: when there are origin populations with both cyclical and steady state dynamics, the destination population inherits the cyclical dynamics (Fig \ref{441914}), albeit dampened from what they would have been without migration from a steady state population. This asymetrical inheritance is robust to imbalance in the relative contributions of the origins. Put another way, if just one of many origin populations (or a small proportion of the total movement) has cyclical dynamics, the destination population will also have cyclical dynamics.