Counter-Examples about Lower- and Upper-Bounded Population Growth
For a unimodal growth function f having its maximum at a critical state xc, the interval bounding the population size asymptotically is usually presented as being equal to [f○2(xc), f(xc)]. This interval however does not represent the maximum range within which the population size can vary, even asymptotically. The actual invariant interval containing the population size is equal to: [min(x*, f○2(xc)), f(xc)], where x* denotes the non-zero fixed point, assumed to be unique, of the iteration of f.
Volume (Year): 12 (2005)
Issue (Month): 4 ()
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