NONLINEAR MODEL OF OVERFISHING FOR THE VOLGA STURGEON BASED ON COGNITIVE GRAPH OF INTERACTION OF ENVIRONMENTAL FACTORS


Cite item

Abstract

We have discussed the development of models of dynamics of formation of reserves juveniles from natural spawning sturgeon Acipenser gueldenstaedtii of theCaspian Seaon historical data. Working hypotheses are based on the graph conceptual scheme aimed chain links. Structuring multivariate analytical conclusions about the quality of the interaction of 12 natural and anthropogenic factors in the ecosystem of the Caspian Sea have allowed us to recharge from the general ideas of the theory on to describe the specific situation of the tragic consequences of overfishing of anadromous fish with a long lifecycle. Reducing the word was swiftly enough and not consistent with the expectations of the replenishment of stocks by artificial reproduction. Dedicated contact circuit pulse propagation cognitive digraph where arcs contains the power of influence, says an indirect strengthening of action depends on the density of mortality. Interestingly, the relationship did not have a permanent independent sign «+» or «–». Recessions manifested dramatically on both boundaries of the range of optimum number of spawning manufacturers. Perhaps the decline in the efficiency of the reproduction right of the balance associated with the migration routes overlap. It is more intense withdrawal of fish more prolific race hibernating until spring in the river. The model takes into account the additional effect of increasing variations in the pace of development of the size on the survival of migrating hatchery. The system of differential equations is investigated in an iterative discrete continuous hybrid form with alternative position of equilibrium trajectory. One of the equilibrium is unstable, and is the starting point for the degradation of reproductive activity. The proposed model of reproduction under supercritical level seizures shows subtle transition from the brink of fading fluctuation to the permanent historical perspective depletion, the way into the Red Book.

About the authors

A. Yu. Perevaryukha

Laboratory of Applied Computer Science,
St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, 39, 14 Line, Saint Petersburg, 199178, Russian Federation.

Author for correspondence.
Email: morenov.sv@ssau.ru

References

  1. Perevaryukha A.Yu. Grafovaia model’ vzaimodeistviia antropogennykh i bioticheskikh faktorov v produktivnosti Kaspiiskogo moria . Vestnik Samarskogo gosudarstvennogo universiteta , 2015, no. 10, pp. 181–198 .
  2. Konopleva I.V., Ivanova L.A. Sovremennoe sostoianie zapasov i struktura populiatsii russkogo osetra Acipenser guldenstadtii Brandt, 1833 v Volgo–Kaspiiskom raione . Vestnik Astrakhanskogo gosudarstvennogo tekhnicheskogo universiteta. Rybnoe khoziaistvo , 2013, no. 3, pp. 31–38 .
  3. Lepilina I.N., Vasilyev T.V., Abdusamadov A.S. Sostoianie zapasov kaspiiskikh osetrovykh v mnogoletnem aspekte . Iug Rossii: ekologiia, razvitie , 2010, no. 3, pp. 57–65 .
  4. Khodorevskaya R.P., Ruban G.I., Pavlov D.S. Povedenie, migratsii, raspredelenie i zapasy osetrovykh ryb Volgo–Kaspiiskogo basseina . M., Tov-vo nauch. izd. KMK, 2007, 242 p. .
  5. Noskov A.S. O metodike otsenki absoliutnogo zapasa ryb po dannym tralovoi s"emki . Tezisy dokladov Vsesoiuznoi nauchnoi konferentsii po problemam promyslovogo prognozirovaniia . Murmansk, 1986, pp. 76–77 .
  6. Karpinski M.G. Ekologiia bentosa Srednego i Iuzhnogo Kaspiia . M., Izd-vo VNIRO, 2002, 283 p. .
  7. Takahashi F. Reproduction curve with two equilibrium points: A consideration on the fluctuation of insect population. Researches on Population Ecology, 1964, Vol. 6, Iss. 1, pp. 28–36 .
  8. Perevaryukha A.Yu. Cyclic and unstable chaotic dynamics in models of two populations of sturgeon fish. Numerical Analysis and Applications, 2012, Vol. 5, no. 3, pp. 254—264 .
  9. Levin A.V. Ekologiia i povedenie molodi osetrovykh ryb v Volgo-Kaspiiskom regione . Astrakhan: KaspNIRKh, 2006, 228 p. .
  10. Ryabova G.D., Afanas’ev K.I., Moskaleichik F.F., Rubtsova G.A., Klimonov V.O., Vyshkvartsev D.I. Variation in morphometric and genetic characteristics of stellate sturgeon juveniles raised at different densities. Russian Journal Genetics, 2006, Vol. 42, no. 2, pp. 182–191 .
  11. Nekrasova S.O., Jakovleva A.P., L’vov L.F. Povyshenie rybovodno-biologicheskikh pokazatelei vyrashchivaniia molodi sevriugi . Vestnik Astrakhanskogo gosudarstvennogo tekhnicheskogo universiteta. Rybnoe khoziaistvo , 2006, no 6, pp. 245–253 .
  12. von Bertalanffy L. Quantitative laws in metabolism and growth. The Quarterly Review Of Biology, 1957, Vol. 32, no. 3, pp. 217–231 .
  13. Shi P.-J. On the 3/4-exponent von Bertalanffy equation for ontogenetic growth. Ecological Modelling, 2014, Vol. 76, pp. 23–28 .
  14. Kokoza A.A. Ryabov V.E. O standarte zavodskoi molodi i putiakh povysheniia effektivnosti iskusstvennogo vosproizvodstva osetrovykh ryb . Voprosy ribolovstva , 2011, Vol. 12, no. 1, pp. 121–126 .
  15. Hershanowitsch A.D. Ekologiia i fiziologiia molodi osetrovykh . M., Agropromizdat, 1987, 215 p. .
  16. Veshchev P.V., Guteneva G.I., Mukhanova R.S. Efficiency of natural reproduction of sturgeons in the Lower Volga under current conditions. Russian Journal of Ecology, 2012, no. 2, pp. 142–147 .
  17. Singer D. Stable orbits and bifurcations of the maps on the interval. SIAM journal of applied math, 1978, Vol. 35, pp. 260–268 .
  18. Feigenbaum M.J. Universal behavior in nonlinear systems. Physica D., 1983, Vol. 7, no. 1–3, pp. 16–39 .
  19. Shepherd J.G. A versatile new stock–recruitment relationship for fisheries and construction of sustainable yield curves. ICES Journal of Marine Science, 1982, Vol. 40, no. 1, pp. 67–75 .
  20. Altukhov Y.P., Evsyukov A.V. Pereproizvodstvo molodi rybovodnymi zavodami kak prichina degradatsii volzhskogo stada russkogo osetra . Doklady RAN , 2001, Vol. 380, pp. 273–275 .

Copyright (c) 2017 А. Ю. Переварюха

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies