EEB 3408W Lecture Notes - Lecture 8: Mertens-Stable Equilibrium, Isocline, Resource Allocation
14 Feb 2017
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Can have graph of species separately or together - superimposed on each other. Species 1 - imagine being pushed with lines going horizontally. Species 2 graph - imagine being pushed to isocline with vertical lines. 4 different cases possible - cause either coexistence or not. Case iii allows coexistence and resulting arrows push to stable equilibria of both species having a population. Case iv has 1 unstable equilibria and any deviation from that causes one population to dominate the other until it is gone. Equilibria is based off of alpha and beta. Lotka volterra runs the experiment so no predicting is needed. To find alpha and beta, need to use numbers and run populations. Resource model needs to know amount of resources the populations/species need. Some species are able to persist under conditions that have less resources than available. This species will live while those who cannot persist, perish.
