Applied Multiregional Demography Through Problems by Andrei Rogers

Author:Andrei Rogers
Language: eng
Format: epub
ISBN: 9783030382155
Publisher: Springer International Publishing

and

(5.42)

where γ is a diagonal matrix of fertility adjustment factors. Substitution of equation (5.42) into equation (5.41) gives

whence

if the inverse exists.

The setting of the fertility of each female cohort in every region to bare replacement level, the cohort-replacement alternative, is but one of many possible spatial patterns of fertility reduction. One could instead, for example, consider a fertility reduction scheme in which the aggregate system wide net reproduction rate is reduced to unity through the multiplication of all age-specific birthrates by the same fertility adjustment factor, γ, say. That is, let

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