Russian Journal of Ecology

, Volume 49, Issue 1, pp 1–13 | Cite as

Singular Spectrum Analysis of Hydroecological Parameter Dynamics of Lake Naroch’ in the Years 1978–2015

  • T. I. Kazantseva
  • B. V. Adamovich
  • A. F. Alimov
  • T. V. Zhukova
  • V. N. Solntsev


Singular Spectrum Analysis (SSA) has been used to decompose continuous series of data on certain characteristics of Lake Naroch’ ecosystem during the vegetative seasons of years 1978–2015 into a long-time trend, a periodic component, and a residue not amenable to decomposition. The contribution of each component to changes in this variable has been assessed. The trends accounted for 78–97% of parameter variability, and the periodic components accounted for 2.5–15%. The fluctuations of phytoplankton and zooplankton biomass dynamics were the most diverse, and the contribution of these components was the greatest (15 and 8%, respectively). The periodic components in the changes of all parameters could be divided into four groups according to period duration (17–22, 7–15, 4–7, and less than 4 years). Multidimensional factor analysis of seven biotic parameters was performed in order to identify fluctuations in the ecosystem. Five major factors accounting for 93.6% of ecosystem changes together were identified, and each factor variable was subjected to SSA analysis. The period durations were similar for the oscillatory components identified. The first factor was interpreted as a trophic status of the water body, the second was taken to be the geographical location that defines the amount of solar radiation energy available, the third was taken to be the availability of biogenic elements (phosphorus in particular), and the fourth was interpreted as specific developmental cycles of live components of the ecosystem.


Narochanskie Lakes multiannual dynamics SSA method trends cyclic components factor analysis main factor interpretation 


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  1. 1.
    Raspopov, I.M., Andronnikova, I.N., Barbashova, M.A., et al., Long-term monitoring of biota formation in place of an ecosystem destroyed by discharge fromk a paper mill (Shchuchii Bay, Lake Ladoga), in Materialy IV Mezhdun. simpoziuma po Ladozhskomu ozeru (Proc. IV Int. Symp. on Lake Ladoga), Novgorod, 2002, pp. 338–342.Google Scholar
  2. 2.
    Ekologicheskaya sistema Narochanskikh ozer (The Ecosystem of Narochanskie Lakes), Vinberg, G.G., Ed., Minsk: Universitetskoe Izd., 1985.Google Scholar
  3. 3.
    Zhukova, T.V., Long-term phosphorus dynamics in the Narochanskie lakes and factors determining it, Water Resources (Moscow), 2013, vol. 40, no. 5, pp. 510–517.CrossRefGoogle Scholar
  4. 4.
    Adamovich, B.V., Kovalevskaya, R.Z., Radchikova, N.P., et al., The divergence of chlorophyll dynamics in the Naroch lakes, Biophysics (Moscow), 2015, vol. 60, no. 4, pp. 632–638.CrossRefGoogle Scholar
  5. 5.
    Adamovich, B.V., Zhukova, T.V., Mikheeva, T.M., Kovalevskaya, R.Z., and Luk’yanova, E.V., Long-term variations of the trophic state index in the Narochanskie lakes and its relation with the major hydroecological parameters, Water Resources (Moscow), 2016, vol. 43, no. 5, pp. 809–817.CrossRefGoogle Scholar
  6. 6.
    Ostapenya, A.P., Zhukova, T.V., Mikheeva, T.M., et al., Benthification of lake ecosystem: Causes, mechanisms, possible consequences, and research prospects, Tr. Belarus. Gos. Univ., 2012, vol. 7, part 1, pp. 135–148.Google Scholar
  7. 7.
    Zhukova, T.V., Mikheeva, T.M., Kovalevskaya, R.Z., et al., Byulleten’ ekologicheskogo sostoyaniya ozer Naroch’, Myastro, Batorino (2014 god) (Bulletin of the Ecological Status of Lakes Naroch, Myastro, and Batorino in the Year 2014), Mikheeva, T.M., Ed., Minsk: Belarus. Gos. Univ., 2015.Google Scholar
  8. 8.
    Medvinsky, A.B., Adamovich, B.V., Chakraborty, A., et al., Chaos far away from the edge of chaos: A recurrence quantification analysis of plankton time series, Ecol. Complex., 2015, vol. 23, pp. 61–67.CrossRefGoogle Scholar
  9. 9.
    Draper, N.R. and Smith, H., Applied Regression Analysis, 3rd ed., New York: Wiley, 1998.CrossRefGoogle Scholar
  10. 10.
    Buchstaber, V.M., Time series analysis and Grassmannians, in Applied Problems of Random Transform, Am. Math. Soc. Trans. Ser. 2, vol. 162, Gindikin, S., Ed., Providence, RI: Am. Math. Soc., 1994, pp. 1–17.Google Scholar
  11. 11.
    Elsner, J.E. and Tsonis, A.A., Singular Spectrum Analysis. A New Tool in Time Series Analysis, New York: Plenum, 1996.CrossRefGoogle Scholar
  12. 12.
    Glavnye komponenty vremennykh ryadov: metod “Gusenitsa” (The Main Components of Time Series: The Caterpillar Method) Danilov, D.L. and Zhigljavsky, A.A., Eds., St. Petersburg: S.-Peterb. Gos. Univ., 1997.Google Scholar
  13. 13.
    Golyandina, N., Nekrutkin, V., and Zhigljavsky, A., Analysis of Time Series Structure: SSA and Related Techniques, Chapman & Hall/CRC, 2001.CrossRefGoogle Scholar
  14. 14.
    Zhigljavsky, A. and Golyandina, N., Singular Spectrum Analysis for Time Series, SpringerBriefs in Statistics, Berlin: Springer, 2013.Google Scholar
  15. 15.
    Shnitnikov, A.V., Vnutrivekovye kolebaniya urovnya stepnykh ozer Zapadnoi Sibiri i Severnogo Kazakhstana i ikh zavisimost’ ot klimata (Intracentennial Fluctuations of Water Level in Steppe Lakes of Western Siberia and Northern Kazakhstan and Their Dependence on Climate), Tr. Lab. Ozeroved. Akad. Nauk SSSR, 1950, vol. 1.Google Scholar
  16. 16.
    Kuzin, P.S., Tsiklicheskie kolebaniya stoka rek severnogo polushariya (Cyclic Fluctuations of Flow Discharge in Rivers of the Northern Hemisphere), Leningrad: Gidrometeoizdat, 1970.Google Scholar
  17. 17.
    Livingstone, D.M., Ice break-up on southern Lake Baikal and its relationship to local and regional air temperatures in Siberia and to North Atlantic Oscillation, Limnol. Oceanogr., 1999, vol. 44, no. 6, pp. 1486–1497.CrossRefGoogle Scholar
  18. 18.
    Gaiser, E.E., Deyrup, N.D., Bachmann, R.W., et al., Multidecadal climate oscillations detected in a transparency record from a subtropical Florida lake, Limnol. Oceanogr., 2009, vol. 54, no. 6, pp. 2228–2232.CrossRefGoogle Scholar
  19. 19.
    Krivenko, V.G., Natural cyclicity of our planet, Vestn. Ross. Akad. Estestv. Nauk, 2010, no. 3, pp. 25–29.Google Scholar
  20. 20.
    Carlson, R.E., A trophic state index for lakes, Limnol. Oceanogr., 1977, vol. 11, pp. 361–369.CrossRefGoogle Scholar
  21. 21.
    Lampert, W. and Sommer, U., Limnoecology: The Ecology of Lakes and Streams, New York: Oxford Univ. Press, 2007.Google Scholar
  22. 22.
    Zhukova, T.V., Radchikova, N.P., Adamovich, B.V., et al., Temperature regime of Narochanskie lakes against the background of long-term climate changes, Vestn. Belarus. Gos. Univ., Ser. 2, 2014, no. 2, pp. 26–35.Google Scholar
  23. 23.
    Rukovodstvo po khimicheskomu analizu poverkhnostnykh vod sushi (A Manual of Chemical Analysis of Land Surface Waters), Semenov, A.D., Ed., Leningrad: Gidrometeoizdat, 1977.Google Scholar
  24. 24.
    Metody issledovaniya organicheskogo veshchestva v okeane (Methods of Organic Matter Analysis in the Ocean), Moscow: Nauka, 1980.Google Scholar
  25. 25.
    Unifitsirovannye metody analiza vod (Unified Methods of Water Analysis), Moscow: Khimiya, 1973.Google Scholar
  26. 26.
    SCOR-UNESCO Working Group no. 17, Determination of Photosynthetic Pigments in Sea-Water, Monographs on Oceanologic Methodology, Paris: UNESCO, 1966, pp. 9–18.Google Scholar
  27. 27.
    Mikheeva, T.M., Methofds for quantitative assessment of nanophytoplankton: A review, Gidrobiol. Zh., 1989, vol. 25, no. 4, pp. 3–21.Google Scholar
  28. 28.
    Mikheeva, T.M., Al’goflora Belarusi. Taksonomichesky katalog (The Algal Flora of Belarus: A Taxonomic Catalog), Minsk: Belarus. Gos. Univ., 1999.Google Scholar
  29. 29.
    Hillebrand, H., Durselen, C.-D., Kirschtel, D., et al., Biovolume calculation for pelagic and benthic microalgae, J. Phycol., 1999, vol. 35, pp. 403–424.CrossRefGoogle Scholar
  30. 30.
    Balushkina, E.V. and Vinberg, G.G., The dependence between body weight and body length in planktonic porganisms, in Obshchie osnovy izucheniya vodnykh ekosistem (General Principles of Studies on Aquatic Ecosystems), Leningrad: Nauka, 1979, pp. 169–172.Google Scholar
  31. 31.
    Vinberg, G.G., Pervichnaya produktsiya vodoemov (Primary Production of Water Bodies), Minsk: Akad. Nauk BSSR, 1960.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • T. I. Kazantseva
    • 1
    • 3
  • B. V. Adamovich
    • 2
  • A. F. Alimov
    • 1
  • T. V. Zhukova
    • 2
  • V. N. Solntsev
    • 1
  1. 1.Zoological InstituteRussian Academy of SciencesSt. PetersburgRussia
  2. 2.Belarusian State UniversityMinskBelarus
  3. 3.Northwestern Federal Center of Medical ResearchMinistry of Healthcare of the Russian FederationSt. PetersburgRussia

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