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Symmetry and transformation of microclimatic processes

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Abstract

A hypothesis of the functional similarity of characteristics of natural processes forming a united physiographic process is theoretically justified and statistically verified using the time series of the data of microclimatic observations. This unity is manifested locally in time and is transformed into a new system of relations at changing background conditions of environment. The proposed computation scheme allows taking into account and identifying the persistent indicators of environmental state and the discrete moments of their variations using the method of rolling regression. The symmetry of processes is achieved by minimizing the residuals of functional relations of climatic characteristics derived by eliminating background impact. Proposed is a model of the genetic basis of the interdependence of natural processes based on the results of the data analysis and the formulae of the Legendre transform.

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References

  1. V. I. Arnol’d, Mathematical Methods of Classic Mechanics (Nauka, Moscow, 1989) [in Russian].

    Book  Google Scholar 

  2. A. Yu. Bibaeva and E. A. Istomina, “A Sequence of Procedures of Geoinformation Analysis and Synthesis of Geographic Images for Mapping Landscapes in the Northeast Khubsgul Region,” Geodeziya i Kartografiya, No. 5 (2011) [in Russian].

    Google Scholar 

  3. I. N. Vladimirov, E. I. Trofimova, A. A. Frolov, and A. K. Cherkashin, “Studying Similarity of Natural Processes,” in Homology and Homotopy of Geographic Systems (Geo, Novosibirsk, 2009) [in Russian].

    Google Scholar 

  4. A. A. Grigor’ev, Regularities of the Structure and Development of Geographic Environment (Mysl’, Moscow, 1966) [in Russian].

    Google Scholar 

  5. A. V. Drozdov, “Physiographic Processes and Structure of Geographic Environment: Views of A. A. Grigor’ev and Their Development Nowadays,” Izv. Akad. Nauk, Ser. Geograficheskaya, No. 3 (1989) [in Russian].

    Google Scholar 

  6. K. N. D’yakonov, “Temporal Variability of Characteristics of Geosystems on the Territory of West Siberia (Conjugate Analysis of Fluctuations),” Izv. Akad. Nauk, Ser. Geograficheskaya, No. 6 (1981) [in Russian].

    Google Scholar 

  7. G. A. Zherebtsov, E. S. Kazimirovskii, V. D. Kokourov, and V. V. Koshelev, “Investigation into the Ozone Problem at the Institute of Solar-Terrestrial Physics, Siberian Branch of the Russian Academy of Sciences,” Optika Atmosfery i Okeana, No. 9, 9 (1996) [Atmos. Oceanic Optics, No. 9, 9 (1996)].

    Google Scholar 

  8. A. M. Zvyagintsev, G. Kakadzhanova, G. M. Kruchenitskii, and O. A. Tarasova, “Periodic Variability of Surface Ozone Concentration over Western and Central Europe from Observational Data,” Meteorol. Gidrol., No. 3 (2008) [Russ. Meteorol. Hydrol., No. 3, 33 (2008)].

    Google Scholar 

  9. A. M. Zvyagintsev and G. M. Kruchenitskii, “An Empirical Model of Surface Ozone Concentration near Moscow (The Town of Dolgoprudnyi),” Izv. Akad. Nauk, Fiz. Atmos. Okeana, No. 1, 32 (1996) [Izv., Atmos. Oceanic Phys., No. 1, 32 (1996)].

    Google Scholar 

  10. A. M. Zvyagintsev, I. N. Kuznetsova, and I. Yu. Shalygina, “Statistical Methods of Forecasting Maximum Daily Concentration of Surface Ozone in Moscow,” in Results of Testing New and Improved Technologies, Models and Methods of Hydrometeorological Forecasting (Hydrometcenter of Russia, Moscow, 2009), No. 36 [in Russian].

    Google Scholar 

  11. A. M. Zvyagintsev and O. A. Tarasova, “Trends of Surface Ozone Concentrations in Germany and Their Connections with Changes in Meteorological Variables,” Meteorol. Gidrol., No. 4 (2011) [Russ. Meteorol. Hydrol., No. 4, 36 (2011)].

    Google Scholar 

  12. E. M. Zlobina, L. K. Kremer, and A. K. Cherkashin, “Modeling and Forecasting Phenological Conditions of Taiga Vegetation,” in Modeling and Forecasting the Dynamics of Geosystems (Irkutsk, 1979) [in Russian].

    Google Scholar 

  13. N. Kh. Ibragimov, “Invariants of Hyperbolic Equations: A Solution of Laplace Problem,” Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 2 (2004) [J. Appl. Mechanics and Techn. Physics, No. 2 (2004)].

    Google Scholar 

  14. E. Kamke, Handbook of Partial Differential Equations of the First Order (Nauka, Moscow, 1966) [Transl. from German].

    Google Scholar 

  15. A. Yu. Mikhailov, K. G. Rubinshtein, and A. B. Shmakin, “Testing the Method for Surface Air Temperature Refinement Based on a Complex of Models of the Atmospheric Boundary Layer and Local Heat and Water Budgets,” Meteorol. Gidrol., No. 1 (2008) [Russ. Meteorol. Hydrol., No. 1, 33 (2008)].

    Google Scholar 

  16. V. L. Potemkin and Yu. V. Shamanskii, “Surface Ozone and Atmospheric Electric Conditions,” Izv. Irkutskogo Gosudarstvennogo Universiteta, No. 1, 4 (2011) [in Russian].

    Google Scholar 

  17. V. L. Potemkin and E. V. Shul’tais, “Seasonal Variations of Ground Ozone Concentration over East Sayan,” Optika Atmosfery i Okeana, No. 4, 17 (2004) [Atmos. Oceanic Optics, No. 4, 17 (2004)].

    Google Scholar 

  18. V. A. Skornyakov, “Correlation of Annual River Runoff Fluctuations in the Central Region,” Vodnye Resursy, No. 5 (1975) [in Russian].

    Google Scholar 

  19. V. B. Sochava, V. G. Volkova, N. P. Druzhinina, et al., “A Method of Complex Ordination in Landscape Science and Biogeocenology,” Doklady Instituta Geografii Sibiri i Dal’nego Vostoka, No. 14 (1967) [in Russian].

    Google Scholar 

  20. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  21. N. H. Ibragimov, “Laplace Type Invariants for Parabolic Equations,” Nonlinear Dynamics (2002).

    Google Scholar 

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Correspondence to A. K. Cherkashin.

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Original Russian Text © A.K. Cherkashin, A.Yu. Bibaeva, 2014, published in Meteorologiya i Gidrologiya, 2014, No. 3, pp. 27–36.

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Cherkashin, A.K., Bibaeva, A.Y. Symmetry and transformation of microclimatic processes. Russ. Meteorol. Hydrol. 39, 152–158 (2014). https://doi.org/10.3103/S1068373914030030

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