About mathematical modeling in limnology, oceanology, ecology and economics in the works of V.V. Menchutkin

The article gives a brief review of the works of Doctor of Biological Sciences, Prof. V.V. Menshutkin for the 65-year period of scientific activity, which began in the 60s of the XX century with experimental works on the hydrophisics of Lake Baikal and the first mathematical models of the perch population of the small lake Kherya-Yarvi (Karelian Isthmus) and fish community in Lake Dalneye (Kamchatka). The latter was of great practical importance when concluding an agreement with Japan on catch quotas for sockeye salmon.
V.V. Menshutkin’s range of interests was very wide and included mathematical modeling in biology, physiology, limnology, oceanology, demography, economics, ecology and rational nature management. The works on research of water objects and processes in them include modeling of dynamics of fish and aquatic invertebrate populations, Antarctic krill. He created mathematical models of ecosystems of Ladoga and Onega lakes, and during oceanic expeditions of the Academy of Sciences — of the Sea of Japan and the Peruvian upwelling area.
His research in the field of physiology of blood circulation and water-salt metabolism, works related to space subjects, modeling of diagnostics and treatment of mental diseases are interesting. V.V. Menshutkin paid special attention to the issues of biological evolution. V.V. Menshutkin paid special attention to the issues of biological evolution and modeling of evolutionary process. The mathematical apparatus used by V.V. Menshutkin is very broad. The mathematical apparatus used by V.V. Menshutkin is very wide: from systems of differential equations to finite automata, neural networks, fuzzy logic and cognitive modeling (a new direction in artificial intelligence), with which the studies of ecological-socio-economic systems of water bodies catchments were connected.
O.P. Savchuk and V.V. Menshutkin united research methods — mathematical modeling and objects under study: oceans, seas and lakes. However, their only joint work was the collective monograph on the results of “Nevskaya Guba” project, which conclusions became the basis for the important decision to complete the construction of the dam in St. Petersburg.

1. Menshutkin V.V. Way to modeling in ecology. Saint Petersburg, Nestor-History, 394 p. (In Russian).

2. Menshutkin V.V. Autobiographical notes. Saint Petersburg. 2008, 333 p. (In Russian).

3. Menshutkin V.V. Essays on the Evolution of Complex Systems (with Lyrical Digressions). 2008. Petrozavodsk, 136 p. (In Russian).

4. Menshutkin V.V. Memories about limnology and limnologists, friends, colleagues, about different things… Publication of the Karelian Research Center of the Russian Academy of Sciences. 2014, 188 p. (In Russian).

5. Menshutkin V.V. Ocean expeditions of the Academy of Sciences. Diaries and notes of a participant. Saint Petersburg, Nestor-History, 2018. 288 p. (In Russian).

6. Menshutkin V.V. Memories and Reflections. Saint Petersburg, Nestor-History, 2021. 198 p. (In Russian).

7. Menshutkin V.V. Realization of simple models of fish populations on an electronic computer. Voprosy Ichthyologii. 1964, 4, 33, 625–631 (In Russian).

8. Menshutkin V.V. Rational use of natural resources of the lake. The cycle of substance and energy in lake reservoirs. Moscow, Nauka, 1967, 315–328 (In Russian).

9. Krogius F.V., Krokhin E.M., Menshutkin V.V. The Community of Pelagic Fishes of Lake Dal’nykh: Experience of Cybernetic Modeling. Leningrad, Nauka, 1969. 86 p. (In Russian).

10. Menshutkin V.V. Experience of simulating the evolutionary process on a computing machine. Journal of Evolutionary Biochemistry and Physiology. 1977, 15, 5, 545–555 (In Russian).

11. Menshutkin V.V., Levchenko V.F., Tsendina M.L. Modeling of the evolutionary process on a computer. Proceedings of the X All-Union School “ Mathematical modeling of complex biological systems”. Moscow, Nauka, 1988, 260, 64–80 (In Russian).

12. Menshutkin V.V. Computer modeling of the process of fish evolution. Voprosy Ichthyologii. 2002, 42, 4, 543–548 (In Russian).

13. Menshutkin V.V. Computer simulation of different types of evolutionary process. Journal of General Biology. 2003, 64, 4, 328–336 (In Russian).

14. Natochin Yu.V., Menshutkin V.V., Chernigovskaya T.V. General features of the evolution of the functions of homeostatic and information systems. Journal of Evolutionary Biochemistry and Physiology. 1992, 28, 5, 625–633 (In Russian).

15. Natochin Yu.V., Menshutkin, V.V. Problems of Evolution of Functions and Functional Evolution in Physiology, Ecology and Technology. Journal of Evolutionary Biochemistry and Physiology. 1993, 29(4), 434–446 (In Russian).

16. Natochin Y.V., Menshutkin V.V., Maslova M.N. Analysis of the trend of evolutionary physiology and on the materials of meetings dedicated to the memory of L.A. Orbeli. Journal of Evolutionary Biochemistry and Physiology. 1993, 29, 1, 82–89 (In Russian).

17. Menshutkin V.V., Natochin Yu.V. Coupled evolution of digestive, respiratory, circulatory, and excretory systems: a model investigation. Journal of Evolutionary Biochemistry and Physiology. 2007, 43, 3, 335–341. doi:10.1134/S0022093007030088

18. Menshutkin V.V., Natochin Yu.V. Imitation modeling of process of evolution from organic macromolecules to protocell and animal cell. Journal of Evolutionary Biochemistry and Physiology. 2008, 44, 4, 514–523. doi:10.1134/S0022093008040133

19. Menshutkin V.V., Levchenko V.F. Model of evolution of human society and biosphere. Economic and Mathematical Research: Mathematical Models and Information Technologies. IV. Part II. SPb., SPb EMI RAS, 2005, 167–181 (In Russian).

20. Levchenko V.F., Menshutkin V.V. Attempt at computer modeling of evolution of the human society. Journal of Evolutionary Biochemistry and Physiology. 2009, 45, 2, 309–321. doi:10.1134/S0022093009020145 (In Russian)

21. Menshutkin V.V., Levchenko V.F. A stochastic cellular automata-based model of evolution of the anthroposphere. Biosphere. 2017, 9, 4, 275–285 (In Russian).

22. Menshutkin V.V., Levchenko V.F. Model of human population evolution using probabilistic agent-based approach. V.V. Menshutkin Memories and Reflections. Menshutkin Memories and Reflections. SPb., Nestor-History, 2021. 198 p., 155–168 p. (In Russian).

23. Menshutkin V.V. The Art of Modeling: Ecology, Physiology, Evolution). 2010. Petrozavodsk–Saint Petersburg, 479 p. (In Russian).

24. Astrakhantsev G.P., Menshutkin V.V., Petrova N.A., Rukhovets L.A. Modeling of Ecosystems of Large Stratified Lakes. Saint Petersburg, Nauka. 2003, 320 p. (In Russian).

25. Menshutkin V.V. Nevskaya guba project. Saint Petersburg, Saint Petersburg Research Center of the Russian Academy of Sciences, 1994. 43 p. (In Russian).

26. Menshutkin V.V. Experience with the Application of Computing in Environmental Studies. Publication of the Karelian Research Center of the Russian Academy of Sciences, 2021, 9, 157–162. doi:10.17076/lim1480

27. Nevskaya Guba — Experience of Modeling. Under general ed. Dr. B.N., prof. V.V. Menshutkin. Saint Petersburg: Saint Petersburg Research Center of the RAS. 1997. 375 p. (In Russian)

28. Menshutkin V.V., Zhakov L.A. Application of Mathematical Modeling in Studies on the Population Dynamics of Perch. Theses of Reports of the 10th Conference on Biology of Water Bodies of the Baltic States. Minsk, 1963, 104–105 (In Russian).

29. Moskalenko Yu.E., Menshutkin V.V., Kislyakov Y.Y. On the Application of Dynamic Programming to the Study of the Regulation of Intracranial Blood Circulation. Physiological Journal of I.M. Sechenov. 1968, 54, 8, 923–929 (In Russian).

30. Svidersky V.L., Menshutkin V.V., Umnov A.A. Nervous Mechanisms of Locust Flight: Experience in Modeling the System Controlling flight. Physiology and Biochemistry of Invertebrates. Ed. Kreps E.M. Leningrad, Nauka, 1968, 110– 117 (In Russian).

31. Menshutkin V.V., Suvorova T.P., Balonov L. Ya. Model of Functional Shutdown of One of the Hemispheres and Neuropharmacological Effects on Deep Brain Structures. Human Physiology. 1981, 7(5), 880–888 (In Russian).

32. Natochin Yu.V., Menshutkin V.V., Bondarenko I.B., Shakhmatova E.I. Indicators of Water-Salt Metabolism in Some Chronic Diseases and in Extreme Conditions. Human Physiology. 1993, 6, 60–66 (In Russian).

33. Menshutkin V.V. Mathematical modeling of populations and communities of aquatic animals / ed. Vinberg G.G., IBP Series. L., Nauka, 1971, 198 p. (In Russian).

34. Menshutkin V.V., Umnov A.A. Mathematical model of the ecological system of Lake Drivyaty. Ecology. 1970, 4, 1, 3–10 (In Russian).

35. Rukhovets L.A., Astrakhantsev G.P., Menshutkin V.V., Petrova N.A. System of Models of the Ecological System of the Ladoga Lake. Review of Applied and Industrial Mathematics. 2002, 9, 2, 334–342 (In Russian).

36. Menshutkin V.V., Kozhova O.M., Aschepkova L. Ya. Functional Model of the Lake Baikal Ecosystem. Hydrobiological Journal. 1978, 14, 3, 3–11 (In Russian).

37. Menshutkin V.V., Vinogradov M.E., Shushkina E.A. Mathematical model of the pelagial ecosystem of the Sea of Japan. Oceanology. 1974, 14, 5, 880–887 (In Russian).

38. Menshutkin V.V., Tseytlin V.B., Vinogradov M.E. Stochastic Approach to Modeling of Upwelling Ecosystems. Ecosystems of Pelagial Ecosystems of the Peruvian Pacific Ocean (ed. Vinogradov M.E.). Moscow, Nauka, 1980, 257–267 (In Russian).

39. Menshutkin V.V. Simulation modeling of aquatic ecological systems. SPb., Nauka, 1993. 158 p. (In Russian).

40. Kozak I., Menshutkin V. Prediction of the Beech Forest Succession in Bieszczady Mountains Using a Computer Model. Journal of Forest Science. 2001, 47, 8, 333–339 (In Russian).

41. Menshutkin V.V., Aschepkova L. Ya. Modeling of the Process of Evolution of Baikal Gammarids. In: Long-term Forecasting of the State of Ecosystems. Novosibirsk, Nauka, 1988. 198–214 (In Russian).

42. Mesarovic M.D., Yasuhiko Takahara. General Systems Theory: Mathematical Foundations. Academic Press New York San Francisco London 1975 A Subsidiary of Harcourt Brace Jovanovieh, Publisher. doi:10.1016/s0076-5392(08) x6129–6

43. Pospelov G.S. Artificial Intelligence — the Basis of New Information Technology. Moscow, Nauka, 1988. 280 p. (In Russian).

44. Miller J. Cognitive revolution from a historical point of view. Voprosy Psychologii. 2005, 6, 104–109.

45. Menshutkin V.V. Cognitive models in limnology. SPb., Nestor-History, 2019. 146 p. (In Russian).

46. Paklin N.B. Fuzzy-Cognitive Approach to the Control of Dynamic Systems. Artificial Intelligence. 2003, 4, 341–355 (In Russian).

47. Nosov K.G. Cognitive Approach to Solving Modeling Problems and Building CAD. Applied Mathematics and Management Issues. 2015, 1, 73–85 (In Russian).

48. Menshutkin V.V., Minina T.R. Economic Development of the Region and Natural Resources. L.P. Sovershaeva, Ed., Regional`naja Jekonomika I Razvitie Territorij [Regional Economy and Development of Territories] Collection of scientific articles. 17. IPRE RAS — Saint Petersburg, SPbGEU, 2023, 204, 74–84. doi:10.52897/978-5-7310-6266-4-2023-17-74-83 (In Russian).

49. Filatov N.N. Hydrodynamics of lakes. SPb., Nauka, 1991. 196 p. (In Russian).

50. Maksimenko V.P., Antonov N.P. Quantitative methods of fish stock assessment. Petropavlovsk-Kamchatskiy: Kamchat- NIRO, 2003. 256 p. (Bulletin «Fishery Issues». M. 2004).

51. Matveenko V.D. Macroeconomics. SPb. 2001, 230 p. (In Russian).

52. Makarov V.L., Bakhtizin A.R. Social modeling — a new computer breakthrough (agent-based approach). Moscow, Economy, 2013. 295 p. (In Russian).

53. Menshutkin V.V., Minina T.R. Cognitive Model of the Interaction of Human Society with the Ecological System of the Reservoir. Regional`naja Jekonomika I Razvitie Territorij. Collection of scientific articles IPRE RAS. Saint Petersburg, 2017, N1(11), 160–167 (In Russian).

54. Menshutkin V.V., Minina T.R. Cognitive Modeling as a Research Tool of Ecological and Economic Systems. L.P. Sovershaeva, Ed., Regional`naja Jekonomika I Razvitie Territorij. Collection of scientific articles of IPRE RAS. 2018. Saint Petersburg, 1(12), 157–163 (In Russian).

55. Menshutkin V.V., Filatov N.N., Druzhinin P.V. A Current State and Forecasting of the Socio-Ecological-Economic System of the White Sea Watershed with use Cognitive simulation. Arctic: Ecology and Economy. 2018, 2(30), 4–17. doi:10.25283/2223-4594-2018-2-4-17 (In Russian).

56. Menshutkin V.V., Filatov N.N. Cognitive Modeling of the Fisheries Effect on the Standard of Living of the of the White Sea Area. Transaction of the Karelian Research Center of the Russian Academy of Sciences. Limnology. 2019, 9, 1–18. doi:10. 17078/ll 1.120 (In Russian).

57. Menshutkin V.V., Minina T.R. Modeling of the Ecological-Socio-Economic System of the Catchment Area of a Large Water Body. L.P. Sovershaeva, Ed., Collection of Scientific Articles Edited. Saint Petersburg., GUAP, 2020, Issue 1(14), 328 p., 206–211 (In Russian).

58. Menshutkin V.V., Filatov N.N. Modeling of the ecological-socio-economic system of the White Sea and its Watershed. Physical Oceanography. 2021, 28, 1, 104–121. doi:10.22449/1573-160X‑2021-1-104-121

59. Levitin K.E., Pospelov D.A. The Future of Artificial Intelligence. 1991. М., Nauka, 302 с. (In Russian).

60. Tarasov V.B. Logico-linguistic models in artificial intelligence: past, present, future. URL: http://posp.raai.org/data/posp2005/Tarasov/tarasov.html (date of reference: 07.03.2016) (In Russian).

61. Papenov K.V. Economics of Nature Management. 2006. Moscow State University Publishing House. 928 с. (In Russian).

62. Shadrin N.V. Vladimir Vasilievich Menshutkin: a living classic of mathematical modeling of biological systems (to the 80th anniversary of his birth). Marine Hydrophysical Journal. 2010, 1, X, 104–105 (In Russian).