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Consider a population whose size changes stepwise by its members reproducing or dying (disappearing), but is otherwise quite general. Denote the initial (non-random) size by [Formula see text] and the size of the nth change by [Formula see text], [Formula see text]. Population sizes hence develop successively as [Formula see text] and so on, indefinitely or until there are no further size changes, due to extinction. Extinction is thus assumed final, so that [Formula see text] implies that [Formula see text], without there being any oth