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Demographic models for subdivided populations: The renewal equation approach. (English) Zbl 0865.92014

Summary: H. Le Bras [Theor. Popul. Biol. 2, 100-121 (1971)] and A. Rogers [Demography 11, 473-481 (1974)] in two neglected papers, have generalized to the multisite case the Euler-Lotka renewal equation and demographic characteristics such as age structure and reproductive value. The purpose of this paper is twofold: first, to restate the multisite renewal equation in the matrix context; second, to derive results on age structure, net reproduction rate, generation time, and sensitivities, as generalizations of the one site case. The potential of this approach for population biology is illustrated using a model of a black-headed gull Larus ridibundus population.

MSC:

92D25 Population dynamics (general)
91D20 Mathematical geography and demography
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