Modeling of the Trajectory of the Level Fluctuations in Lake Naroch

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...

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Main Authors: Kirvel Ivan, Volchak Alexander, Parfomuk Sergey
Format: Article
Language:English
Published: Sciendo 2016-03-01
Series:Quaestiones Geographicae
Subjects:
Online Access:https://doi.org/10.1515/quageo-2016-0005
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author Kirvel Ivan
Volchak Alexander
Parfomuk Sergey
author_facet Kirvel Ivan
Volchak Alexander
Parfomuk Sergey
author_sort Kirvel Ivan
collection DOAJ
description 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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spelling doaj.art-a93fbf0a089c418aa5f52798b0ea16232022-12-21T18:32:21ZengSciendoQuaestiones Geographicae2081-63832016-03-01351576210.1515/quageo-2016-0005Modeling of the Trajectory of the Level Fluctuations in Lake NarochKirvel Ivan0Volchak Alexander1Parfomuk Sergey2Institute of Geography and regional Studies, Pomeranian University in Słupsk, PolandComputer Science and Applied Mathematics, Brest State Technical University, Brest, BelarusComputer Science and Applied Mathematics, Brest State Technical University, Brest, BelarusAs 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.https://doi.org/10.1515/quageo-2016-0005lake level changesmodellingtrajectoryrecent pastlake narochbelarus
spellingShingle Kirvel Ivan
Volchak Alexander
Parfomuk Sergey
Modeling of the Trajectory of the Level Fluctuations in Lake Naroch
Quaestiones Geographicae
lake level changes
modelling
trajectory
recent past
lake naroch
belarus
title Modeling of the Trajectory of the Level Fluctuations in Lake Naroch
title_full Modeling of the Trajectory of the Level Fluctuations in Lake Naroch
title_fullStr Modeling of the Trajectory of the Level Fluctuations in Lake Naroch
title_full_unstemmed Modeling of the Trajectory of the Level Fluctuations in Lake Naroch
title_short Modeling of the Trajectory of the Level Fluctuations in Lake Naroch
title_sort modeling of the trajectory of the level fluctuations in lake naroch
topic lake level changes
modelling
trajectory
recent past
lake naroch
belarus
url https://doi.org/10.1515/quageo-2016-0005
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AT volchakalexander modelingofthetrajectoryofthelevelfluctuationsinlakenaroch
AT parfomuksergey modelingofthetrajectoryofthelevelfluctuationsinlakenaroch