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A model of carrying capacity as a dynamic equilibrium system is generated and made operational in order to test a series of hypotheses relating population and settlement patterns. The development of populations in marginal resource zones is shown to be a function of optimal zone exploitation in the Hay Hollow Valley. MacArthur's deviation amplifying model is presented as an alternative to the model's diminishing resource curves as a possible explanation of the extinction of Hay Hollow population by A.D. 1400. Finally, the effects of population excess disequilibriums as defined by the model are examined in relationship to the settlement pattern variables of population aggregation, spatial aggregation and residential area.
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Ezra B. W. Zubrow (1971) studied this question.
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