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UNSTABLE CRITICAL EQUILIBRIUM IN THE DYNAMICS OF COMPLEX STRUCTURED POPULATION OF STURGEON

Abstract

The article deals with the consequences of the existence of special conditions that determine the character of the rapid further development of population processes. The most probable connection of these critical conditions deals with the optimal number of subpopulation groups. These groups are formed by the evolutionary adaptation of the form of restricted access to resources for reproduction. We have proposed a model of population processes, which formalizes the influence of uneven growth rate for two different groups of reproductive sturgeon mortality of migratory fish in the juvenile period of Acipenser gueldenstaedtii development. In the computing environment was investigated the hybrid system, which simulates the effects of the existence of the situation for the population of migrating juvenile disproportionate reduction in the river. Such cases are established by us according to the rapid decline in sturgeon spawning the Volga. For the exploited population threshold effect after the unstable equilibrium with the minimum necessary for the well being of the form number is the count in the implementation of the «collapse». The phenomenon of collapse detached among all scenarios the most valuable long-term degradation of the reproductive group. In addition to the apparent sharp reduction in reproductive performance, threshold effect is reflected in the adverse events previously dominated evolutionary trend for the survival of certain forms of the life cycle of fish in terms of reorganization of the fishery. Informative, that the Volga stellate sturgeon Acipencer stellatus observed some form of non-linearity in the efficiency of spawning and require a different kind of fish-specific mathematical model.

About the Authors

V. A. Dubrovskaya
Saint-Petersburg Institute for Informatics and Automation of RAS
Russian Federation
Post-graduate student


T. N. Solovieva
Saint-Petersburg State University of Aerospace Instrumentation; Saint-Petersburg Institute for Informatics and Automation of RAS
Russian Federation
Doctor of Engineering, Senior Lecturer


A. Yu. Perevaryukha
Saint-Petersburg Institute for Informatics and Automation of RAS
Russian Federation
Doctor of Engineering, Senior Researcher


References

1. Costello C., Gaines S. D., Lynham J. Can Catch Shares Prevent Fisheries Collapse? // Science. – 2008. – Vol. 321, Iss. 5896. – P. 1678–1681.

2. Neave F. Principles affecting the size of pink and chum salmon population in British Columbia // Journal of the fisheries research board of Canada, 1953. Vol. 9. № 9. P. 450–491.

3. Ricker W. E. Stock and recruitment // Journal Fisheries research board of Canada, 1954. №.11. C. 559–623.

4. Ricker W. E. Two mechanisms that make it impossible to maintain peak period yields from stocks of Pacific salmon and other fishes // Journal of the Fisheries Research Board of Canada. – 1973. – Vol. 30. – P. 1275–1286.

5. Ricker W. E. Big Effects from Small Causes: Two Examples from Fish Population Dynamics // Journal of the Fisheries Research Board of Canada. – 1963. – Vol. 20. P. 257–264.

6. Feigenbaum M. J. Universal behavior in nonlinear systems // Physica D. – 1983. – Vol. 7. – № 1. – P. 16–39.

7. 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. – № 2. – P. 142–147.

8. Veshchev P. V. Influence of hydrological factors on the reproduction efficiency of stellate sturgeon // Hydrobiological Journal. – 2002. – № 6. – P. 111–122.

9. Khodorevskaya R. P., Ruban G. I., Pavlov D. S. Behaviour, migrations, distribution, and stocks of Sturgeons in the Volga-Caspian Basin.– Neu Wulmstorf: World Sturgeon Conservation Society Special Publication, 2009. – 233 p.

10. Karpinskii M. G. Benthos biocoenoses in the Middle and South Caspian sea // Oceanology. – 2003. – № 3. – P. 376–386.

11. Ryabova G. D. Variation in morphometric and genetic characteristics of stellate sturgeon juveniles raised at different densities // Russian Journal of Genetics.– 2006.– № 2.– P. 182–191.

12. Singer D. Stable orbits and bifurcations of the maps on the interval // S IAM J. of Appl. Math. – 1978. – Vol. 35. – P. 260–268.

13. Perevaryukha Y. N., Geraskin P. P., Perevaryukha T. Y. Comparative immunochemical analysis of intraspecies distinctions of serum proteins of starred sturgeon Acipenser stellatus (Acipenseriformes, Acipenseridae) from the Caspian Basin // Journal of Ichthyology. – 2011. – № 5. – P. 392–397.

14. Perevaryukha A. Y. Uncertainty of asymptotic dynamics in bioresource management simulation // Journal of Computer and Systems Sciences International. – 2011. – № 3. – P. 491–498.

15. Perevaryukha T. Y. Antigenic composition of whey protein Ural and Kura stellate sturgeon populations Acipenser stellatus (Acipenserioformes, Acipenseridae) // Natural Sciences. – 2010. № 2. – P. 150–155.

16. Perevaryukha A. Y. An Iterative Continuous-Event Model of the Population Outbreak of Phytophagous Hemiptera // Biophysics. – 2016. – Vol 61. – Iss. 2. – P. 395–404.


Review

For citations:


Dubrovskaya V.A., Solovieva T.N., Perevaryukha A.Yu. UNSTABLE CRITICAL EQUILIBRIUM IN THE DYNAMICS OF COMPLEX STRUCTURED POPULATION OF STURGEON. «System analysis and applied information science». 2016;(1):11-22. (In Russ.)

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ISSN 2309-4923 (Print)
ISSN 2414-0481 (Online)