RISKS OF POPULATION EXTINCTION FROM DEMOGRAPHIC AND ENVIRONMENTAL STOCHASTICITY AND RANDOM CATASTROPHES

摘要: Stochastic factors affecting the demography of a single population are analyzed to determine relative risks extinction from demographic stochasticity, environmental and random catastrophes. Relative assessed by comparing asymptotic scaling relationships describing how average time extinction, T, increases with carrying capacity population, K, under each stochastic factor alone. added simple model exponential growth up K. A critical parameter dynamics is $$\tilde r,$$ long-run rate below including factors. If r positive, stochasticity T asymptotically as nearly function either or catastrophes power negative, any factor, logarithm Thus, for sufficiently...