Counter-Examples about Lower- and Upper-Bounded Population Growth (original) (raw)

Mathematical Population Studies, 2005

Abstract

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 (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:

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