1. A two-sex renewal model and its population projection
- Author
-
Nan Li
- Subjects
Male ,Net reproduction rate ,Reproduction (economics) ,Total fertility rate ,media_common.quotation_subject ,Population Dynamics ,Population Forecast ,Fertility ,Birth rate ,Projections of population growth ,Population projection ,Econometrics ,Humans ,Mortality ,Birth Rate ,Population Growth ,Projection (set theory) ,Ecology, Evolution, Behavior and Systematics ,Demography ,Mathematics ,media_common - Abstract
Population projections rely on one-sex renewal models. Consequently, changing the projection of male mortality does not affect the projection of birth, contradicting commonsense. A two-sex renewal model is presented in this paper to provide a better description of reproduction and more reasonable population projections. This model is nonlinear and includes the one-sex renewal models as special cases. In this model, age-specific birth rates are defined for two sexes jointly; total fertility, net reproduction rate, and intrinsic growth rate are also derived for two sexes jointly; and age-specific populations approach or converge to stable status. Applying the two-sex renewal model to Australia, it indicates that one-sex models underestimated the intrinsic growth rate by 14 percent. Compared to the results of one-sex models, the two-sex model would provide higher growth rate for low-fertility countries, and lower growth rate for high-fertility countries. In other words, the one-sex models are commonly biased. If the two-sex model is applied to all the countries, it would project smaller populations for the world in the future.
- Published
- 2022