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The net reproduction rate and the type-reproduction number in multiregional demography

Hisashi Inaba
2010 Vienna Yearbook of Population Research  

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In order to study effects of migration on demographic changes of multiregional populations, multiregional population modelling is a useful traditional tool. Although multiregional mathematical demography has been extensively explored since the beginning of the 1970s, its key concept, the multiregional net reproduction rate, has been long neglected. In this review, we focus on a multiregional stable population system and elaborate the definition of the multiregional net reproduction rate. Next
more » ... introduce the type-reproduction number from mathematical epidemiology and show that it becomes a useful index to formulate a simple control relation for a multiregional population. Mathematical ideas presented here will help us to reconsider multiregional mathematical demography, which is a useful theoretical framework to study effects of interregional migration on population dynamics and composition.
doi:10.1553/populationyearbook2009s197 fatcat:3dicjxivabgldii3e6j2hybuii
Szczepanski lang:de
Citation

Hisashi Inaba. "The net reproduction rate and the type-reproduction number in multiregional demography." Vienna Yearbook of Population Research (2010) 197-215