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Darwinian evolution and a predator-prey ecology

✍ Scribed by P.M. Allen

Publisher
Springer
Year
1975
Tongue
English
Weight
870 KB
Volume
37
Category
Article
ISSN
1522-9602

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✦ Synopsis

In order to represent the biological evolution of a predator-prey ecology it is necessary to add to the equations of population dynamics terms corresponding to spontaneous mutation. Using a Volterra-Lotka ecology as an example, a model is developed for this. It is based on the assumption of two levels of description; a local one containing mutation probabilities, and the other the macroscopic average equations for the whole system. Diffusion processes link the two. The "evolutionary state" of a species is interpreted as an average effectiveness in terms of a genetic parameter space and it is shown that as a result of random mutations the ecosystem drifts irreversibly through this space.

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