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Economic and Evolutionary Aspects of Optimum Fishing
 
PIIS042473880005778-4-1
DOI10.31857/S042473880005778-4
Publication type Article
Status Published
Authors
Vitaly Il'iichev 
Occupation: Principal Scientific Researcher
Affiliation: Southern Research Center RAS
Address: Rostov-on-Don, Russian Federation
Journal nameEkonomika i matematicheskie metody
Edition
Pages86-99
Abstract

Within discrete ecology-evolutionary models the problem of collecting long-term fish catch in the two-zone reservoir is investigated. It is shown that taking into account behavioral adaptation of fish population its catch decreases. When the reservoir is divided into two zones (market fishing and the reserve), optimal catch significantly depends on a ratio of ecological capacities of these water areas that is of fodder resources. To solve theoretical and practical problems we used methods of non-linear analysis and dynamic programing, where Bellman function determined maximum catch income. The novelty of our work is a disclosure of unexpected economic and biological effects caused by the adaptation of fish population behavior to the catching processes. If both zones are fishing, then the paradox strategy of catch of one of the competing fishermen connected with temporary reduction of the catch is possible. It will lead to deformation of a fish migration routes with the preference of the first, non-fishing, zone.  It is strange that after optimal catch in the area, this area becomes still more attractive to the fish population. The concept of interior prices for fish stocks in some or that area is introduced Interior prices can be used as a tax on unit of the caught fish. In this case the problem of long-term optimization comes down to the solution of a problem of maximizing one-year catch. Spatial heterogeneity of interior prices allows designing various speculative mechanisms of exchange of the consumed resources.

Keywordslong-term fishing, optimization, spatial adaptation, interior prices.
AcknowledgmentThe publication is prepared as realization of GZ SSC RAS (project AAAA-A18-118122790121-5) and also of a grant of the Russian Foundation for Basic Research (project 18-01-00453).
Received13.08.2019
Publication date22.08.2019
Number of characters29734
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