Food webs and the principle of evolutionary adaptation

Alexander S. Bratus, Sergei Drozhzhin, Anastasiia V. Korushkina and Artem S. Novozhilov

Physica A: Statistical Mechanics and its Applications, 2024, vol. 633, issue C

Abstract: A principle of evolutionary adaptation is applied to the Lotka–Volterra models, in particular to the food webs. We present a relatively simple computational algorithm of optimization with respect to a given criterion. This algorithm boils down to a sequence of easy to solve linear programming problems. As a criterion for the optimization we use the total weighted population size of the given community and a functional that we call an ecological fitness, which is an analogue of the potential energy in physics. We show by computational experiments that it is almost always possible to substantially increase the total weighed population size for an especially simple food web–food chain; we also show that food chains are evolutionary unstable under the considered optimization criteria and, if allowed, tend to evolve into more complicated structures of food webs.

Keywords: Lotka–Volterra model; Food chain; Food web; Fitness maximization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:633:y:2024:i:c:s0378437123009718

DOI: 10.1016/j.physa.2023.129416

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