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Mathematical Modeling of Marine Ecosystems: Geographic and Ecological Aspects

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Marine Ecological Geography

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Abstract

Owing to efforts of the classics of modern natural science, during the history of its development the qualitative model of the outside world was formed. So, V.I. Vernadsky laid the basis for the doctrine about living matter and marine geochemistry (Vernadsky 1923, 1934), A.P. Vinogradov started to study a chemical composition of microorganisms (Vinogradov 1935), N.M. Knipovich was the pioneer of fishery research of the seas and brackish waters (Knipovich 1938), S.V. Bruevich developed the analytical methods of marine hydrochemical investigations and formulated the fundamentals of hydrochemistry, biohydrochemistry, and chemical dynamics of the seas (Bruevich 1933, 1978), L.A. Zenkevich studied fauna and bioproductivity of sea waters (Zenkevich 1947), A.B. Skopintsev started the investigations of nutrients and organic matter in water reservoirs and streams (Skopintsev 1950), G.G. Vinberg considered the problems of biological productivity formation in the seas (Vinberg 1960).

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References

  • Aizatulin TA (1967) Formal chemico-kinetic characteristic of regeneration processes of nutrient compounds. Trudy IOAN (Proceedings of the Institute of Oceanology of the Academy of Sciences of the USSR), vol 83, p 20 (in Russian)

    Google Scholar 

  • Aizatulin TA (1974) Modeling of externally metabolic systems and systems with mixed coupling. Biochemical trophodynamics in marine coastal ecosystems. Naukova Dumka, Kiev, pp 163–183 (in Russian)

    Google Scholar 

  • Aizatulin TA, Lebedev VL (1977) Modeling of organic pollution transformation in ecosystems and self-purification of water streams and reservoirs. Results of the science and technology. General ecology, biocenology, hydrobiology, vol 4. VINITI, Moscow, pp 8--75 (in Russian)

    Google Scholar 

  • Aizatulin TA, Leonov VA (1975) Kinetics and mechanisms of oxidizing transformation of inorganic sulfur compounds in sea water. Oceanology 15(6):1026–1033 (in Russian).

    Google Scholar 

  • Aizatulin TA, Shamardina II (1980) Mathematical modeling of ecosystems of continental water streams and reservoirs. Results of the science and technics. General ecology, biocenology, hydrobiology, vol 5. VINITI, Moscow, pp 154–228 (in Russian).

    Google Scholar 

  • Aizatulin TA, Leonov AV (1977) Kinetics and mechanism of transformation of oxygen compounds and oxygen consumption in aquatic ecological system (mathematical modeling). Vodnye Resursy (Water Resour) 4(2):41–55 (in Russian)

    Google Scholar 

  • Aizatulin TA, Leonov AV (1990) Mathematical modeling of hydrogen sulfide zone dynamics in the Black Sea: analysis of influence of intensity of oxygen consumption, capacity of hydrogen sulfide sources, and vertical exchange. Vodnye Resursy (Water Resour) 1:95–110 (in Russian)

    Google Scholar 

  • Anderson E, Howlett E, Mendelsohn D (1995) The OILMAP/WOSM oil spill model: Application to hindcast a river spill. In: Proceedings of Eighteen Arctic and Marine Oilspill Program (AMOP). Technical Seminar, Edmonton, 14–16 June 1995, pp 793–814

    Google Scholar 

  • Bolin B, Bjorkstrom A, Holmen K, Moor B (1983) The simultaneous use of tracers for ocean circulation studies. Tellus 35B:206–236

    Google Scholar 

  • Bronfman AM (1976) Alternatives of solution of economic and ecological problems of the Azov Sea basin. In: Problems of maritime economy, Odessa, vol 5, pp 35–45 (in Rusian)

    Google Scholar 

  • Bruevich SV (1933) Methodology of chemical oceanography. Izdatelstvo Tsentralnogo Upravleniya Edinoi Gidrometeorologicheskoi Sluzhby SSSR (Publishing House of the Central Administration of the Common Hydrometeorological Service of the USSR), 144 p (in Russian)

    Google Scholar 

  • Bruevich SV (1978) Problems of marine chemistry. Nauka, Moscow, 335 pp (in Russian)

    Google Scholar 

  • Bubnov VA, Krivilevich LM (1973). Planetary model of oxygen field formation in the ocean. Trudy IO AN SSSR. In: Proceedings of Institute of Oceanology of the Academy of Sciences of the USSR, vol 95, pp 60–67 (in Russian)

    Google Scholar 

  • Dombrovsky YuA, Iliychev VG, Selyutin VV, Surkov FA (1990) Theoretical and applied aspects of primary production modeling in water basins. Rostov-on-Don, Rostov University, 175 pp (in Russian)

    Google Scholar 

  • Fasham MJ, Ducklow HW, McKelvie SM (1990) A nitrogen-based model of plankton dynamics in the oceanic mixed layer. J Mar Res 48:591–639

    Google Scholar 

  • Fasham MJ, Sarmiento JL, Slater RD et al. (1993) Ecosystem behavior at Bermuda Station S and ocean weather station INDIA: an observational analysis. Glob Biogeochem Cycles (7):379–415

    Google Scholar 

  • Fashchuk DYa (1997) Geographic and ecological model of marine water basin. Dissertation for the degree of Doctor of Geographical Sciences. Institute of Geography of the Russian Academy of Sciences, Moscow, 348 pp (in Russian)

    Google Scholar 

  • Fashchuk DYa, Chepalyga AL, Shaporenko SI (1997) State assessment of marine aquatories. Izvestiya RAN. In: Proceedings of the Russian Academy of Sciences, series: geography, vol 6, pp 75–88 (in Russian)

    Google Scholar 

  • Fashchuk DYa, Chicherina OV, Leonov AV (2005) Geographic and ecological aspects of mathematical modeling of marine basins. Izvestiya RAN. In: Proceedings of the Russian Academy of Sciences, series: geography (1):26–37 (in Russian)

    Google Scholar 

  • Fashchuk DYa, Ovsienko SN, Petrenko OA (2007) Ecological problems of the Bosporus Cimmerian. Chernomorskii Vestnik (Black Sea Herald) (1):52–77 (in Russian)

    Google Scholar 

  • Fleishman BS, Krapivin VF (1974) Mathematical models of marine ecological systems. Naukova Dumka, Kiev, p 50 (in Russian)

    Google Scholar 

  • Gorstko AB (1976) Simulation system of the Sea of Azov. Trudy VNIRO (Proceedings of VNIRO) 118:48–55 (in Russian)

    Google Scholar 

  • Gorstko AB, Kamyshansky AV, Litvinenko AN (1982) On use of mathematical models in ecological expertise of hydroeconomic activity projects. In: Problems of ecological monitoring and ecosystem modeling. Moscow, vol. 13, p 219–226 (in Russia)

    Google Scholar 

  • Gregoir M, Beckers JM, Nihoul JCJ, Stanev E (1997) Coupled hydrodynamic ecosystem model of the Black Sea at basin scale. In: Ozsoy E, Mikaelyan A (eds) Sensitivity to change: Black Sea, Baltic Sea and North Sea. Kluwer, Netherland, pp 487–499

    Google Scholar 

  • Hewlett E, Jayko K (1998) COZOIL (Coastal Zone Oil Spill Model), model improvements and linkage to a graphical user interface. In: Proceedings of Twenty-first Arctic and Marine Oilspill Program (AMOP), technical seminar, 10–12 June 1998, West Edmonton Mall Hotel Edmonton, pp 135–148

    Google Scholar 

  • Hornberger GM, Spear RC (1980). Eutrophycation in Peel Inlet—the problem defining behavior and a mathematical model for the phosphorus scenario. Water Res 14:29–42

    Google Scholar 

  • Ivanenkov VN (1979). General regularities of nutrient distribution in the World Ocean. Oceanology. Chemistry of Sea Waters. Nauka, Moscow, pp 188–228 (in Russian)

    Google Scholar 

  • Kagan BA, Ryabchenko VA (1978). Tracers in the World Ocean. Gidrometeoizdat, Leningrad, p 60 (in Russian)

    Google Scholar 

  • Kawamiya M, Kishi MJ, Jamanaka Y et al (1995) An ecological-physical coupled model applied to station Papa. J Oceanogr 51:635–663

    Google Scholar 

  • Knipovich NM (1938) Hydrology of the seas and brackish waters. Книпович НМ Гидрология морей и солоноватых вод.–1938. Pishchepromizdat, Moscow-Leningrad, 514 pp (in Russian)

    Google Scholar 

  • Leech MV, Tyler A, Wiltshire M (1993) OSIS: a PC-based oil spill information system. In: Proceedings of the 1993 oil spill conference (prevention, preparedness, response), Tampa ,Mar 29–Apr 1 1993

    Google Scholar 

  • Leonov AV (1980) Mathematical Modeling of Phosphorus transformation in the Lake Balaton Ecosystem. Int Inst Appl Syst Anal Austria. Working paper 80–149, pp 1–97

    Google Scholar 

  • Leonov AV (1986) Mathematical modeling of dynamics of phosphorus forms in shallow ecosystems (taken the Lake Balaton as an example). Nauka, Moscow, pp 152 (in Russian)

    Google Scholar 

  • Leonov AV (1989a) Mathematical model of present transformation of nitrogen, phosphorus, and oxygen compounds: its use for analysis of component dynamics in eutrophic lake. Vodnye Resursy (Water Resour), vol 2, pp 105–123 (in Russian)

    Google Scholar 

  • Leonov AV (1989b) Phosphorus transformation and water quality in the Ivankovo reservoir: Stady by means of a simulation model. Arch Hydrobiol Beth Ergebn Limnol 33:157–168

    Google Scholar 

  • Leonov AV (1999) Mathematical modeling of matter biotransformation processes in natural waters. Vodnye Resursy (Water Resour) 26(5), pp 624–630 (in Russian)

    Google Scholar 

  • Leonov AV (2000) Oil and gas development on the sakhalin island shelf: an assessment of changes in the Okhotsk Seas’s ecosystem. In: Murakami T, Tabata S (ed) Russian regions: economic growth and environment. Hokkaido University, Sapporo. Slavic research center papers no. 71, pp 359–388

    Google Scholar 

  • Leonov AV (2008) Modeling natural processes on the basics of a simulation hydroecological model discribing C, N, P and Si transformation: a textbook. Yuzhno-Sakhalinsk:lzd SakhGU p 168 (in Russian)

    Google Scholar 

  • Leonov AV, Aizatulin TA (1977) Kinetics and transformation mechanism of biophil element (С, О, N, Р, S) compounds in aquatic ecosystems. In: Results of the science and technology. General ecology. Biocenology. Hydrobiology. VINITI, Moscow, vol 4, pp 75–137 (in Russian)

    Google Scholar 

  • Leonov AV, Aizatulin TA (1995) Mathematical modeling of hydrogen sulfide zone dynamics on shallow site of the Black Sea and analysis of short-term variability of chemical-dynamical characteristics. Vodnye Resursy (Water Resour) 22(2):163–178 (in Russia)

    Google Scholar 

  • Leonov AV, Fashchuk DYa (2006) Biotransformation of oil hydrocarbons in the Karkinit Bay of the Black Sea: estimation by the results of mathematical modeling. Vodnye Resursy (Water Resources) 33(3):311–326 (in Russian)

    Google Scholar 

  • Leonov AV, Niemi E (1989) The use of simulation model for estimation of transformation conditions in Lake Tuusulanjarvi (Finland). Vodnye Resursy (Water Resources) (6):77-90 (in Russian)

    Google Scholar 

  • Leonov AV, Pishchalnik BM (2005) Biotransformation of oil hydrocarbons in Aniva Bay waters: estimation with the use of mathematical modeling. Vodnye Resursy (Water Resources) 32(6):712–726 (in Russian)

    Google Scholar 

  • Leonov AV, Sapozhnikov VV (1997) Biohydrochemical model of transformation of organogenic substances and its use for estimation of primary production in the Okhotsk Sea ecosystem. In: The complex investigations of the Okhotsk sea ecosystem. VNIRO, Moscow, pp 143–166 (in Russian)

    Google Scholar 

  • Leonov AV, Sapozhnikov VV (2000) The analysis of dynamics of organogenic substances and rates of production-destruction processes in the North Caspian. Oceanology 40(1):37–51 (in Russian)

    Google Scholar 

  • Leonov AV, Ostashenko MM, Lapteva EN (1991) Mathematical modeling of transformation of organic matter and nutrient compounds in aquatic environment: preliminary analysis of functioning conditions of the Lake Ladoga ecosystem. Vodnye Resursy (Water Resour) 1:51–72 (in Russian)

    Google Scholar 

  • Leonov AV, Abrosov NS, Nikolaev VM (1994) Mathematical model of joint transformation of carbon, nitrogen, phosphorus compounds and oxygen regime in interrelated water bodies of increased trophicity. Vodnye Resursy (Water Resour) 21(5), pp 513–522 (in Russian)

    Google Scholar 

  • Matishov GG (ed) (2001) Enviroment, biota, and modeling of ecological processes in the sea of Azov. Karelian Research Center of the Russian Academy of Sciences, Apatity, p 413 (in Russian)

    Google Scholar 

  • Menshutkin VV, Finenko ZZ (1975) Mathematical modeling of phytoplankton development processes under the conditions of oceanic upwelling. Trudy IO AN SSSR. In: Proceedings of the Institute of Oceanology of the Academy of Sciences of the USSR, vol. 102, pp 175–183 (in Russian)

    Google Scholar 

  • Menshutkin VV, Vinogradov ME, Shushkina EA (1974). Mathematical ecosystem model of the Japan Sea pelagial. Oceanology 14(5), pp 880–887 (in Russian)

    Google Scholar 

  • Monin AS (1982). Stratification and circulation of the ocean. In: Synoptic eddies in the Ocean. Gidrometeoizdat, Leningrad, pp 8–37 (in Russian)

    Google Scholar 

  • Najjar RG, Sarmiento JL, Toggweiler JR (1992) Downward transport and fate of organic matter in the ocean: simulations with a general circulation model. Global Biogeochem Cycles 6(1):45–76

    Google Scholar 

  • Niul J (1978) Analysis of marine systems. In: Modeling of marine systems. Gidrometeoizdat, Leningrad, pp 6–43 (in Russian)

    Google Scholar 

  • Ovsienko SN, Zatsepa SN, Ivchenko AA (2005) Modeling of oil spills and environmental risk assessment. Trudy GOIN. In: Proceedings of GOIN. Gidrometeoizdat, Moscow, vol 209, pp 248–271 (in Russian)

    Google Scholar 

  • Parsons TP, Takahashi M, Hargrave B (1982). Biological oceanology. Legkaya and Pishchevaya Promyshlennost, Moscow, p 432 (in Russian)

    Google Scholar 

  • Petrovsky SV, Vinogradov ME, Morozova AYu (1998) Spatiotemporal dynamics of localized outburst in the predator-prey community. Oceanology 38(6):881–889 (in Russian)

    Google Scholar 

  • Pishchalnik VM and Leonov AV (2003) The study of functioning conditions of the Aniva Bay – La Perouse Strait ecosystem. Vodnye Resursy (Water Resour) 30(5):616–636 (in Russian)

    Google Scholar 

  • Keondzhyan AP, Kudin AM, Terekhina YuV (eds) (1990) Practical ecology of marine regions: the Black sea. Naukova Dumka, Kiev, p 252 (in Russian).

    Google Scholar 

  • Redfield AC (1934). On the proportion of organic derivatives in sea water and their relation to the composition of plankton–1934. James Johnstone Memorial Volume. University Press, Liverpool, pp 176–192

    Google Scholar 

  • Reimers NF (1980) The alphabet of nature. Microencyclopedia of biosphere. Znaniye, Moscow, p 208 (in Russian)

    Google Scholar 

  • Riley GA (1951) Oxygen, phosphates, and nitrate in the Atlantic ocean. Bull Bingham Oceanogr 17(1):345–378

    Google Scholar 

  • Rudyakov YuS, Sapozhnikov VV, Agatova AI (1984) Changes in food value of decaying plankton and some features of nitrogen and phosphorus regeneration process. In: Frontal Zones of the Southeast Pacific (Biology, Physics, Chemistry). Nauka, Moscow, pp 92–99 (in Russian)

    Google Scholar 

  • Ryabchenko VA (1977) Numerical modeling of dissolved oxygen distribution in the World Ocean. Oceanology 17(6):1004–1009 (in Russian)

    Google Scholar 

  • Sarmiento JL, Thiele G, Key RM, Moore WS (1990) Oxygen and nitrate new priduction and reminilization in the North Atlantic subtropical gyre. J Geophys Res 95(C10):18303–18315

    Google Scholar 

  • Savchuk OP (1977) Mathematical modeling of nitrogen dynamics in the sea. Synopsis of Dissertation for the degree of Candidate of Geographical Sciences. Leningrad, pp 24 (in Russian)

    Google Scholar 

  • Savchuk O, Wulff F (1996) Biogeochemical Transformation of nitrigen and phosphorus in the marine environment. Coupling hydrodynamic and biogeochemical processes in models for the Baltic proper, System ecology contributions, vol 2. Stockholm University, 79 pp

    Google Scholar 

  • Sazhin AF (1982). Changes in trophic structure of planktonic communities with depth in boreal and tropical regions of the Pacific Ocean. Synopsis of Dissertation for the degree of Candidate of Biological Sciences. Moscow, pp 24 (in Russian)

    Google Scholar 

  • Sergeev YuN (ed) (1979) Modeling of matter transportation and transformation in the sea. Leningrad State University, Leningrad, pp 296 (in Russia)

    Google Scholar 

  • Shushkina EA (1977). Zooplankton production. In: Oceanology: biology of the ocean, vol 2: biological productivity of the ocean. Nauka, Moscow, pp 233–247 (in Russian)

    Google Scholar 

  • Skopintsev BA (1950). Organic matter in natural waters. Trudy GOIN. In: Proceedings of GOIN, vol 17(29), p 5 (in Russian)

    Google Scholar 

  • Smith JM (1976) Models in ecology. Mir, Moscow, 138 pp (in Russian)

    Google Scholar 

  • Steel JH (1959) The quantitate ecology of marine phytoplankton–1959. Biol Rev 34(2):245–300

    Google Scholar 

  • Steel JH (1962) Environmental control of photosynthesis in the sea–1962. Limn Ocean 7:137–150

    Google Scholar 

  • Steel JH, Frost BW (1977) The structure of plankton communities–1977. Phil Trans R Lond A 280:248–534

    Google Scholar 

  • Tskhai AA (1995) Monitoring and management of water quality in river basin. Models and information systems. Altaiskoye Knizhnoye Izdatelstvo, Barnaul, 174 pp (in Russian)

    Google Scholar 

  • Varis O, Kettunen J, Leonov AV (1986) The analysis of the phosphorus budget in Lake Kuortaneenjarvi. Vesitalous 27(1): 16–22

    Google Scholar 

  • Vavilin VA (1986) Time of biomass turnover and destruction of organic matter in the systems of biological treatment. Nauka, Moscow, 144 pp (in Russian)

    Google Scholar 

  • Vernadsky VI (1923) Living matter and chemistry of the sea. Moscow, 37 pp (in Russian)

    Google Scholar 

  • Vernadsky VI (1934) Essays of geochemistry. Gosgeonefteizdat, Moscow, 380 pp (in Russian)

    Google Scholar 

  • Vinberg GG (1960) Primary production of water basins. Izdatelstvo AN BSSR, Minsk, 328 pp (in Russian)

    Google Scholar 

  • Vinberg GG, Anisimov SA (1966) Photosynthesizing systems of high productivity. Nauka, Moscow, 213 pp (in Russian)

    Google Scholar 

  • Vinberg GG, Anisimov SA (1969) An experience of investigation of mathematical ecosystem model. Trudy VNIRO (Proceedings of VNIRO), Moscow, vol. 67, p 49 (in Russian)

    Google Scholar 

  • Vinogradov AP (1935) Chemical elementary composition of marine organisms. Trudy Biogeokhimicheskoi Laboratorii AN SSSR. In: Proceedings of Biogeochemical Laboratory of the Academy of Sciences of the USSR, vol 3, 65 pp (in Russian)

    Google Scholar 

  • Vinogradov ME, Menschutkin VV, Shushkina EA (1972) On mathematical simulation of a pelagic ecosystem in tropucal waters of the ocean. Mar Biol 16(4):261

    Article  Google Scholar 

  • Vinogradov ME, Monin AS, Seidov DG (eds) (1989) Dynamic models of pelagic ecosystems. Models of Oceanic Processes. Nauka, Moscow, p 252 (in Russian)

    Google Scholar 

  • Watt WD, Hayes FR (1963) Tracer study of phosphorus cycke in the sea water. Limn.Ocean 8(2):276–286

    Google Scholar 

  • Wyrtki K (1962) The oxygen minima in relation to oceanic circulation. Deep Sea Res 9(1):11–28

    Google Scholar 

  • Yakushev EV (1998) Modeling of nutrient field formation under the scheme of global conveyor belt taken phosphorus as an example. Oceanology 38(2):203–211 (in Russian)

    Google Scholar 

  • Zenkevich LA (1947) Fauna and biological productivity of the sea. Sovremennaya Nauka, Moscow, vol 1, 507 pp; 1951, vol 2, 588 pp (in Russian)

    Google Scholar 

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Fashchuk, D.Y. (2011). Mathematical Modeling of Marine Ecosystems: Geographic and Ecological Aspects. In: Marine Ecological Geography. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17444-5_2

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