Abstract
The asymptotic birth rate for a one-sex population in which the net maternity function changes to one of bare replacement was first discussed by Keyfitz and has since been studied by several authors. The present generalization allows for a time dependent transition from any net maternity function to another and, thus, includes all previous models.
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References
Cerone, P., and A. Keane. 1978. The Momentum of Population Growth with Time Dependent Net Maternity Function. Demography 15:131–134.
Frauenthal, J. C. 1975. Birth Trajectory Under Changing Fertility Conditions. Demography 12:447–454.
Keyfitz, N. 1971. On the Momentum of Population Growth. Demography 8:71–80.
Mitra, S. 1976. Influence of Instantaneous Fertility Decline to Replacement Level on Population Growth: An Alternative Model. Demography 13:513–519.
Tognetti, K. P. 1976. Some Extensions of the Keyfitz Momentum Relationship. Demography 13:507–512.
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Cerone, P., Keane, A. The stable births resulting from a time dependent change between two net maternity functions. Demography 15, 135–137 (1978). https://doi.org/10.2307/2060496
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DOI: https://doi.org/10.2307/2060496