ENVIRSCI 214 Lecture Notes - Lecture 14: Zero Population Growth, Isocline
6 Mar 2017
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Simplified models can be tested and supported/falsified. Population growth slows as n increases, approaching k dn/dt = rn(1- n/k) incorporates intraspecific competition and density dependence. 12= how much resource does a species 2 individual (competitor) use relative to that of a species 1 individual (this conversion factor) Shrub. tree = the effect of the tree on the shrub = 5 = tree being 5 shrubs. 12 x n2 = cumulative impact of the current population of species 2 in the environment. Now add the effect of interspecific coefficient -- 12 dn1 / dt = n1r1 [1- (n1 + 12*n2 / k1 ) for species 2- just replace 12 with 21 and swap all the 1 and 2 coefficients. When dn1/dt = 0, the species 1 population stops changing/growing. To visualize predictions of the model, graph populations by plotting number of species 1 on x- axis and number of species 2 on y-axis.
