A numerical model for tracking populations through a time-dependent stochastic network

摘要

Units from a population arrive from an external source in a random or fixed pattern at an initial compartment of a D-compartment, linked, network. Once inside the network, individuals move in a statistically independent manner among compartments, finally entering absorbing compartments from which they never depart. A numerical adaptation of the model is described and demonstrated. The model is compared to the MacArthur-Wilson model of island biogeography with respect to differences in statistics of movements that each model is capable of generating. A numerical example is given.