An alternative formulation of the birth function in a two-sex model

The inconsistency in Lotka's stable population model (two different intrinsic growth rates for the two sexes) arises from the fact that he considers two equations (for male and female births), and not because his equation for one sex does not involve the other. Many authors in the past have err...

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Bibliographic Details
Published in:Population studies 1978-07, Vol.32 (2), p.367-379
Main Author: Gupta, Prithwis Das
Format: Article
Language:English
Subjects:
Birth/Births
Demography
Demography/Demographic/ Demographical
Female fertility
Fertility rates
Growth
Marriage
Mathematical functions
Men
Model/Modeling/Models
Population growth rate
Population studies
Population/Populations/ Populationists
Reproduction
Sex differences (see also Gender differences)
Women
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Summary:The inconsistency in Lotka's stable population model (two different intrinsic growth rates for the two sexes) arises from the fact that he considers two equations (for male and female births), and not because his equation for one sex does not involve the other. Many authors in the past have erroneously put emphasis on the latter point and modified Lotka's equations for male and female births. Since sex ratio at birth is constant, two independent equations for male and female births cannot exist. The correct approach is to attempt to form an equation for all births. The author followed this approach in his earlier works on the problem, but his birth functions were formulated from axiomatic considerations. The present paper provides a new birth function which has an intuitively appealing physical interpretation, and for which the interaction between the sexes is empirically determined from the data.
ISSN:0032-4728
1477-4747
DOI:10.1080/00324728.1978.10410720