Fig. 1

Proportion of individuals in patches as a result of random dispersal. If dispersing individuals are hosts, \(\alpha_{i} = 1/N\); if parasitoids, \(\mu\) = 0, or the number of hosts is the same for all patches. The expectation from the deterministic model is 1/\(N\) for all \(N\) patches. The results of the stochastic dispersal become closer to the deterministic expectation as the number of dispersing individuals increases for a given number of patches. Each line shows the outcome of a simulation, with results from 10,000 simulations displayed together for each combination of the number of patches \(N\) and the number of dispersing individuals. Patches are ranked according to the relative proportion (i.e., rank 1 is the patch with the largest number of individuals)