Model of dynamics of structured subpopulations of sturgeon fish in the Caspian Sea takes into account deviations in the rate of development of immature fish

Authors

  • Victoria A. Dubrovskaya Saint Petersburg State University of Aerospace Instrumentation, 67 Bolshaya Morskaya Street, Saint Petersburg 190000, Russia
  • Andrey Yu. Perevaryukha Saint Petersburg Institute of Informatics and Automation of RAS, 39 Line 14 Vasilʼevskii ostrov, Saint Petersburg 199178, Russia
  • Inna V. Trofimova Saint Petersburg State University, 35 University Avenue, Peterhof 198504, Russia

Keywords:

dynamic models of biological processes, reproductive isolation, rates of sturgeon growth
Supporting Agencies
The work was carried out within the project of the Russian Foundation for Basic Research No. 16-37-00028 for young scientists «Development of a continuous-event computational model of the efficiency of reproduction of the Caspian Sea stellate sturgeon in the conditions of uncertainty in reproductive isolation of subpopulative groups».

Abstract

The article discusses modeling the dynamics of bioresources for the situation with a population that is divided into partially reproductively isolated groups of the initial population, which, when determining the exploitation strategy, is represented as a single commercial stock. In the case when fishing statistics are not able to delineate data on local groups that have ecological differences in reproduction, the role of secondary factors in assessing the efficiency of replenishment may increase, which is important for Caspian Sea sturgeons. Subpopulation groups unevenly retain the indicators expected from them by experts, according to forecasts of the success of reproduction with the same change in the hydrological situation. We propose to use as a supplementary indicator in the model of calculating the value of replenishment the development rate of juvenile, which may experience significant fluctuations due to intergroup competition. The system of differential equations is presented for analysis, where the developmental survival in the three ecology-physiological stages of juvenile development is significantly affected by the deviation in dimensional development, which is calculated from the basic phenomenological growth rate model given by the well-known von Bertalanffy equation. The dynamics for the trajectory obtained from the solution of the system of equations of a continuous-discrete iterative dynamic system is characterized by the possibility of attraction to two alternative cyclic attractors, which corresponds to fluctuating fluctuations with a high or low number for a complex-structured fish population.

Author Biographies

  • Victoria A. Dubrovskaya, Saint Petersburg State University of Aerospace Instrumentation, 67 Bolshaya Morskaya Street, Saint Petersburg 190000, Russia

    assistant at the department of information technology in bussiness, Institute of entrepreneurship technologies

  • Andrey Yu. Perevaryukha, Saint Petersburg Institute of Informatics and Automation of RAS, 39 Line 14 Vasilʼevskii ostrov, Saint Petersburg 199178, Russia

    PhD (technical sciences); senior researcher at the applied informatics laboratory

  • Inna V. Trofimova, Saint Petersburg State University, 35 University Avenue, Peterhof 198504, Russia

    PhD (physics and mathema tics); associate professor at the department of modeling of economic systems, faculty of applied mathematics and management processes

References

  1. Veshchev P. V., Guteneva G. I. Efficiency of natural reproduction of sturgeons in the Lower Volga under current conditions. Russ. J. Ecol. 2012. Vol. 43, No. 2. P. 142–147.
  2. Perevaryukha Y. N., Geraskin P. P., Perevaryukha T. Y. Сomparative immunochemical analysis of intraspecies distinctions of serum proteins of starred sturgeon Acipenser stellatus (Acipenseriformes, Acipenseridae) from the Caspian basin. J. Ichthyol. 2011. Vol. 51, No. 5. P. 392–397.
  3. Perevaryukha А. Y. Investigation of the model of the exploited population with complex types of aperiodic transient dynamics. Vestnik BSU. Ser. 1, Phys. Math. Inform. 2015. No. 3. P. 96–103 (in Russ.).
  4. Ricker W. Stock and recruitment. J. Fisheries research board of Canada. 1954. No. 11. C. 559–623.
  5. Guckenheimer J. Sensitive dependence on initial conditions for unimodal maps. Comm. Mathem. Phys. 1979. Vol. 70. P. 133–160.
  6. Feigenbaum M. Universal behavior in nonlinear systems. Phys. D. 1983. Vol. 7. P. 16–39.
  7. Sharkovskii A. N. Coexistence cycles of continuous map of the line into itself. Int. J. Bifurcat. & Chaos. 1995. Vol. 5. P. 1263– 1273.
  8. Khodorevskaya R. P., Kalmykov V. A. Formation of populations of Acipenseridae sturgeons in the Volga-Caspian basin. J. Ichthyol. 2014. Vol. 54, issue 8. P. 576–583. 9. Panin G. N., Mamedov R. M., Mitrofanov I. V. The current state of the Caspian Sea. Moscow : Nauka, 2005 (in Russ.).
  9. Legeza M. I., Mailian R. A. Towards a methodology for studying the number of sturgeon in the Caspian Sea. Abstracts of the Reporting Session of the Central Scientific Research Institute. Astrakhanʼ, 1974. P. 82–83 (in Russ.).
  10. Perevaryukha Y. N. Present status of Caspian sturgeons, biodiversity and some problems of their specific identification by molecular genetic, including caviar. The 4 th International Symposium on Sturgeon (Oshkosh, 8–13 July, 2001). Oshkosh, 2001.
  11. Hoyle J. Status of Lake Whitefish (Coregonus clupeaformis) in Lake Ontario and the Response to the Disappearance of Diporeia spp. Proceedings of a workshop on the dynamics of lake whitefish (Coregonus clupeaformis) in the Great Lakes. 2005. P. 47–61.
  12. Courchamp F., Ludеk B., Gascoigne J. Allee Effects in Ecology and Conservation. New York : Oxford University Press, 2008.
  13. Artyukhin E. N. On biogeography and relationships within the Acipenser. The Sturgeon quarterly. 1995. Vol. 3, No. 2. P. 6–8.
  14. Anisimova I. M., Lavrovsky V. V. Ichthyology. Moscow : Higher School, 1983 (in Russ.).
  15. Ryabova G. D. Variation in morphometric and genetic characteristics of stellate sturgeon juveniles raised at different densities. Russ. J. Genet. 2006. Vol. 42, No. 2. С. 182–191.
  16. Von Bertalanffy L. Quantitative laws in metabolism and growth. Quart. Rev. Biol. 1957. Vol. 32. P. 217–231.

Downloads

Published

2018-05-02

Issue

No. 3 (2017): Journal of the Belarusian State University. Biology

Section

Zoology and Botany

License

The authors who are published in this journal agree to the following:

  1. The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
  2. The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
  3. The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)

How to Cite

Dubrovskaya, V. A., Perevaryukha, A. Y., & Trofimova, I. V. (2018). Model of dynamics of structured subpopulations of sturgeon fish in the Caspian Sea takes into account deviations in the rate of development of immature fish. Experimental Biology and Biotechnology, 3, 76-86. https://journals.bsu.by/index.php/biology/article/view/2464