Related Experiment Video
Updated: Nov 5, 2025

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Footprints to singularity: A global population model explains late 20th century slow-down and predicts peak within
1Dept of Biological Sciences, Dept of Computer Science, Rensselaer Polytechnic Institute, Troy, NY, United Sates of America.
Abstract:
Projections of future global human population are traditionally made using birth/death trend extrapolations, but these methods ignore limits. Expressing humanity as a K-selected species whose numbers are limited by the global carrying capacity produces a different outlook. Population data for the second millennium up to the year 1970 was fit to a hyper-exponential growth equation, where the rate constant for growth itself grows exponentially due to growth of life-saving technology. The discrepancies between the projected growth and the actual population data since 1970 are accounted for by a decrease in the global carrying capacity due to ecosystem degradation. A system dynamics model that best fits recent population numbers suggests that the global biocapacity may already have been reduced to one-half of its historical value and global carrying capacity may be at its 1965 level and falling. Simulations suggest that population may soon peak or may have already peaked. Population projections depend strongly on the unknown fragility or robustness of the Earth's essential ecosystem services that affect agricultural production. Numbers for the 2020 global census were not available for this study.
Related Concept Videos
Population Growth
Conservation of Declining Populations
Exponential Equations for Modeling Growth
Exponential Equations with Logarithms: Problem Solving
Mechanistic Models: Compartment Models in Individual and Population Analysis
What is Population Genetics?

