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Updated: May 29, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
On nonstable and stable population momentum.
Thomas J Espenshade1, Analia S Olgiati, Simon A Levin
1Department of Sociology and Office of Population Research, 249 Wallace Hall, Princeton University, Princeton, NJ 08544, USA. tje@princeton.edu
This study introduces a new framework for understanding population momentum, separating it into "nonstable" and "stable" components. This decomposition offers a unified view of population dynamics across 176 countries.
Area of Science:
- Demography
- Population Studies
- Mathematical Sociology
Background:
- Population momentum is a key demographic concept.
- Existing literature on population momentum is fragmented.
- Understanding population momentum is crucial for future population projections.
Purpose of the Study:
- To decompose total population momentum into nonstable and stable components.
- To provide a unifying framework for disparate population momentum literature.
- To analyze population momentum across 176 countries and global regions.
Main Methods:
- Factorization of total population momentum into multiplicative nonstable and stable components.
- Calculation of nonstable, stable, and total momentum.
- Numerical illustrations for 176 countries, the world, and major regions.
Main Results:
- Total population momentum can be accurately approximated by the product of nonstable and stable momentum.
- The factorization is exact under specific conditions (stable age distribution or replacement fertility).
- Calculations reveal varying levels of nonstable and stable momentum globally.
Conclusions:
- The proposed decomposition provides a unified framework for population momentum.
- This approach reconciles different strands of population momentum research.
- The findings enhance our understanding of population dynamics and future growth patterns.
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