Abstract
Developed is the large-scale model of the dynamics of the Arctic sea ice cover area based on the formal concepts of the dynamics of the components of the limited-area binary system. Proposed is the technique for its parametric identification. It is demonstrated that the distribution of the monthly mean values of the sea ice area for the period of 1972–2013 is defined with the high degree of accuracy as being close to the seasonal, annual, and 60-year components. Presented is the forecast of the sea ice area for 2014–2113.
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References
I. L. Appel’ and Z. M. Gudkovich, Numerical Modeling and Forecasting of Arctic Sea Ice Cover Evolution during the Melting Period (Gidrometeoizdat, St. Petersburg, 1992) [in Russian].
Y. Bard, Nonlinear Parameter Estimation (Statistika, Moscow, 1979) [Transl. from English].
V. V. Golubev, “Role of the Arctic Sea Ice Cover in the Gas Exchange of the Surface Geospheres,” Kriosfera Zemli, No. 4, 14 (2010) [Earth Cryosphere, No. 4, 14 (2010)].
V. N. Golubev, M. N. Petrushina, and D. M. Frolov, “Development Patterns of Snow Cover Stratigraphy,” Led i Sneg, No. 1 (2010) [Ice and Snow, No. 1 (2010)].
Yu. P. Doronin and D. E. Kheisin, The Sea Ice (Gidrometeoizdat, Leningrad, 1975) [in Russian].
D. A. Drogaitsev, “The Zones of Ice Compaction and Sparsification in Air Pressure Fields,” Izv. Akad. Nauk, Geofizika, No. 11 (1956) [in Russian].
V. D’yakonov and V. Kruglov, MATLAB Mathematical Packages. Special Handbook (Piter, St. Petersburg, 2001) [in Russian].
Z. K. Zubakin, Large-scale Variability of Ice Cover Conditions in the Seas of the North European Basin (Gidrometeoizdat, Leningrad, 1987) [in Russian].
E. Kamke, Ordinary Differential Equations (Nauka, Moscow, 1976) [Transl. from German].
M. Kendall and A. Stuart, The Advanced Theory of Statistics, Vol. 2: Inference and Relationship (Nauka, Moscow, 1973) [Transl. from English].
A. S. Monin and A. A. Berestov, “New Approaches to Climate,” Vestnik Akad. Nauk, No. 2, 47 (2005) [Herald of the Russ. Acad. Sci., No. 2, 47 (2005)].
E. G. Nikiforov, “Variations of Concentration of Ice Cover in View of Its Dynamics,” Problemy Arktiki, No. 2 (1957) [in Russian].
R. A. Poluektov, Yu. A. Pykh, and I. A. Shvytov, Dynamic Models of Environmental Systems (Gidrometeoizdat, Leningrad, 1980) [in Russian].
Yu. M. Svirezhev and D. O. Logofet, The Stability of Biological Communities (Nauka, Moscow, 1978) [in Russian].
H. Theil, Economic Forecasts and Policy (Statistika, Moscow, 1971) [Transl. from English].
L. A. Timokhov, “The Drift and Variations of the Structure of Ice Cover as the Two-phase Ice-Water System,” Trudy AANII, No. 364 (1979) [in Russian].
L. A. Timokhov and D. E. Kheisin, Sea Ice Dynamics (Mathematical Models) (Gidrometeoizdat, Leningrad, 1987) [in Russian].
A. V. Tuzinkevich and A. N. Chetyrbotskii, “The Model of Seasonal Dynamics of Interacting Species,” in Mathematical Modeling in Population Ecology (DVNTs AN SSSR, Vladivostok, 1985) [in Russian].
I. E. Frolov, Z. M. Gudkovich, V. P. Karklin, et al., The Scientific Research in the Arctic, Vol. 2: Climate Changes in the Ice Cover of Eurasian Shelf Seas (Nauka, St. Petersburg, 2007) [in Russian].
I. E. Frolov, Z. M. Gudkovich, V. P. Karklin, et al., “Climate Change in the Arctic and Antarctic is a Result of Natural Causes,” Problemy Arktiki i Antarktiki, No. 85, 2 (2010) [in Russian].
I. E. Frolov, Z. M. Gudkovich, V. P. Karklin, and V. M. Smolyanitskii, “The 60-year Cycle of Climate Change in Polar Regions,” Materialy Glyatsiologicheskikh Issledovanii, 105 (2008).
U. D. Khibler III, “Growth, Drift, and Destruction of Sea Ice,” in The Dynamics of Snow and Ice (Gidrometeoizdat, Leningrad, 1985) [in Russian].
A. N. Chetyrbotskii, “Geochemical Process of Mineral Formation as the Dynamics of “Resource-Consumer” System,” Issledovano v Rossii, http://zhurnal.ape.relarn.ru/articles/2002/114.pdf [in Russian].
A. N. Chetyrbotskii, Large-scale Mathematical Modeling of Spatiotemporal Variability of Sea Ice Cover (a Case Study for the Sea of Japan) (Dal’nauka, Vladivostok, 2009) [in Russian].
A. N. Chetyrbotskii, “Monitoring and Forecasting Ice Cover Conditions in the Northern Part of the Sea of Japan,” Izv. Akad. Nauk, Geografiya, No. 6 (2007) [in Russian].
A. N. Chetyrbotskii, “Evolution of the Thickness Distribution of Ice in the Sea of Japan,” Izv. Akad. Nauk, Fiz. Atmos. Okeana, No. 5, 42 (2006) [Izv., Atmos. Oceanic Phys., No. 5, 42 (2006)].
A. N. Chetyrbotskii and V. V. Plotnikov, The Ice Cover of the Sea of Japan: Data Analysis and Modeling (Dal’nauka, Vladivostok, 2005) [in Russian].
E. V. Shalina, “The Arctic Ice Cover Reduction from the Satellite Passive Microwave Sounding Data,” Sovremennye Problemy Distantsionnogo Zondirovaniya Zemli iz Kosmosa, No. 1, 10 (2013) [in Russian].
L. Polyak, R. Alley, J. T. Andrews, et al., “History of Sea Ice in the Arctic,” Quat. Sci. Rev., 29 (2010).
L. H. Smedsrud, A. Sorteberg, and K. Kloster, “Recent and Future Changes of the Arctic Sea-ice Cover,” Geophys. Res. Lett., 34 (2008).
J. Stroeve, M. M. Holland, W. Meier, et al., “Arctic Sea Ice Decline: Faster than Forecast,” Geophys. Res. Lett., 34 (2007).
H. Theil, Statistical Decomposition Analysis with Applications in the Social and Administrative Sciences (North-Holland, Amsterdam, 1972).
A. S. Thorndike, D. A. Rothrock, G. A. Maucut, and A. Colony, “The Thickness Distribution of Sea Ice,” J. Geophys. Res., 87 (1982).
X. Zhang and J. E. Walsh, “Towards a Seasonally Ice-covered Arctic Ocean: Scenarios from the IPCC AR4 Simulations,” J. Clim., 19 (2006).
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Original Russian Text © A.N. Chetyrbotskii, 2015, published in Meteorologiya i Gidrologiya, 2015, No. 3, pp. 75–86.
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Chetyrbotskii, A.N. Large-scale numerical modeling of the dynamics of the area of the Arctic sea ice cover. Russ. Meteorol. Hydrol. 40, 199–206 (2015). https://doi.org/10.3103/S1068373915030073
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DOI: https://doi.org/10.3103/S1068373915030073