Optimal Harvesting versus Chaos in Population Dynamics

The dynamics of fish populations, even for simple classes of reproductive functions, can be quite complex (up to the manifestation of chaotic regimes). The following problem arises: how will the population behavior change when optimal long-term fishing is imposed on it? The fundamental properties of...

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Bibliographic Details
Published inDoklady earth sciences Vol. 514; no. 2; pp. 317 - 321
Main Authors Matishov, G. G., Il’ichev, V. G.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.02.2024
Springer Nature B.V
Subjects
Animal population
Earth and Environmental Science
Earth Sciences
Fish
Fish populations
Fishing
Oceanology
Population dynamics
dynamics
annual catch
chaos
stable equilibrium
fish
abundance
Bellman function
population
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Summary:The dynamics of fish populations, even for simple classes of reproductive functions, can be quite complex (up to the manifestation of chaotic regimes). The following problem arises: how will the population behavior change when optimal long-term fishing is imposed on it? The fundamental properties of the corresponding annual catch are defined and justified. On their basis, for the first time, an unexpected result was strictly substantiated: population dynamics are greatly simplified under optimal fishing, and, in particular, chaos is transformed into a monotonic tendency of fish numbers to balance.
ISSN:1028-334X
1531-8354
DOI:10.1134/S1028334X23602936