A functionally diverse population growth model
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Updated: Jul 10, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Elia Montiel-Arzate1, Hector Echavarría-Heras, Cecilia Leal-Ramírez
1Department of Ecology, CICESE Research Center, P.O. Box 434844, San Diego, CA 92143-4844, USA.
Abstract:
The present work deals with a single species population growth model, exhibiting diverse functional modes. The model is based on the principle of limiting factors for population growth. This paradigm was adapted from the law of the minimum, and the law of the tolerance. In the framework presented here, rates of natality and mortality are controlled by extreme values of limiting factors. The formal expression of these ideas corresponds to what we call a functionally diverse model. This model permits the identification of thresholds of viability, starvation, intraspecific cooperation and competition. The performance of the model is evaluated using data for populations growing under experimental or natural conditions.
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