Given the metapopulation equation ( dP / dt = cP (1- P ) – eP ), at equilibrium,

Question

Given the metapopulation equation (dP/dt = cP(1-P) – eP), at equilibrium, what is the predicted change in patch occupancy from one year to the next for a metapopulation with large patches located relatively far from one another? Show your work.

Question 2. Consider the following figure representing the theoretical relationships between patch area (size) and isolation (distance from one another) and the equilibrium proportion of occupied habitat patches in a metapopulation: 0.25 0.20 0.15 0.10 0.05 0 0.2 0.4 0.6 0.8 1.0

Explanation / Answer

Model of metapopulation was given by Levin. Metapopulation can be defined as a group of subpopulation of species(i.e. patchy population). According to this model, "Recolonisation occur at a higher rate in order to prevent the extinction of species".Tthis is referred to as "rescue effect". The rate of degree of extinction of species is compensated by reproducing more offsprings due to recolonisation. Therefore, in order to have an increase metapopulation of patch occupancy located relatively far from one another, there should be an increased colonisation(immigration) of species(persistence of interacting species).

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