Modeling of the Trajectory of the Level Fluctuations in Lake Naroch

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Ivan Kirvel
Alexander Volchak
Sergey Parfomuk


As a result of the conducted investigations of the level fluctuations in lake naroch the initial data are divided into 3 components: a polynomial regression that makes it possible to find out an independent on time law of trajectory, a periodic component of sinusoidal type and a residual sequence of independent random quantities. Modeling of the trajectory fluctuations is based on the deterministic part, consisting of the regression of the 8th order and periodic component, and also the random part, consisting of independent equally distributed quantities. Using this model it can be modeled the trajectory of the level fluctuations in lake naroch. The modeled trajectory by 200 years long demonstrated the probability of exceeding of maximum annual level, equal 1 per cent.


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How to Cite
Kirvel, I., Volchak, A., & Parfomuk, S. (2016). Modeling of the Trajectory of the Level Fluctuations in Lake Naroch. Quaestiones Geographicae, 35(1), 57-62.


  1. Aivazyan S.A., Enyukov I.S., Meshalkin L.D., 1985. Applied Statistics. Investigation of Dependences: Finances and Statictics, Moscow.
  2. Ikonnikov V.F, Lishtvan I.I., Loginov V.F., 2003. Use of Nature: Collection of Scientific Works. Minsk, Iss. 9: 25-33.
  3. Ivanov-Smolensky V.G., 2013. AU Lakes of Belarus. Riftur Print, Minsk.
  4. Kozhevnikova I.A., Shveykina V.I., 2014. Modelling of the Level Fluctuations of Lake Kinneret. Water Resources 41(1): 565-572.
  5. Loginov V.F., 2007. Spectral-time Analysis of the Level Mode of the Lakes and Fluctuations of Consumption of Large Rivers in Belarus. Minsk.
  6. Ozaki T., 1981, Nonlinear time series models for non-linear random values. Journal of Applied Probability 18: 443-451.
  7. Pontryagin L.S., 1965. Ordinary Differential Equations. Science, Moscow.
  8. Terebizh V.Yu., 1992. Analysis of Time Series in Astrophysics. Science, Moscow.
  9. The Blue Book of Belarus, 1994. Encyclopaedia/Belarus. Minsk.
  10. Volchak A., Kirvel I., 2013. Lake water level variations in Belarus. Limnological Review 13(2): 115-126.
  11. Water Resources of the National Park “Narochansky”, 2012. Reference Book. Riftur Print, Minsk.