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Updated: Jul 5, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
On the optimum theoretical rate of population growth
Abstract:
"The paper seeks intuitively-satisfying models of optimum population growth. The authors build upon Phelps's model of endogenous technical progress plus the Steinmann-Simon extension, which imply that the per-person consumption growth rate depends positively and linearly upon the population growth rate, without bound.... They suggest that the consumption rate ultimately turns downwards as population growth increases because of decreasing adoption of available technology as labor cheapens relative to capital, and as high population growth overtaxes people's will and ability to respond. Including a convex-downward function in the model yields sensible results." (summary in GER)
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