Related Experiment Video
Updated: Jul 8, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Individual optimization efforts and population dynamics: a mathematical model for the evolution of resource
1Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103 Leipzig, Germany. jjost@mis.mpg.de
Abstract:
We develop a formal framework for the optimal allocation of limited resources that includes and clarifies the interplay between individual optimization and the resulting effects at the population level. As an example, in regard to the evolution of sexual recombination, the paradox of the twofold cost of sex is avoided by distinguishing between the evolution of recombination and the subsequent emergence and stability of different mating types as a result of individual optimization within a population that benefits from recombination.
Related Concept Videos
Modeling with Differential Equations
Population Growth
Energy Budgets and Reproductive Strategies
Mechanistic Models: Compartment Models in Individual and Population Analysis
Exponential Equations for Modeling Growth
Natural Selection and Mating Preferences
Females, due to their biological roles in conception, pregnancy, and nursing, inherently...
