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Updated: May 22, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
A fundamental principle governing populations
1Physics Department, University of California, Los Angeles, CA, USA. chester@physics.ucla.edu
Abstract:
Proposed here is that an overriding principle of nature governs all population behavior; that a single tenet drives the many regimes observed in nature-exponential--like growth, saturated growth, population decline, population extinction, and oscillatory behavior. The signature of such an all embracing principle is a differential equation which, in a single statement, embraces the entire panoply of observations. In current orthodox theory, this diverse range of population behaviors is described by many different equations-each with its own specific justification. Here, a single equation governing all the regimes is proposed together with the principle from which it derives. The principle is: The effect on the environment of a population's success is to alter that environment in a way that opposes the success. Experiments are suggested which could validate or refute the theory. Predictions are made about population behaviors.
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