Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes

The paper deals with mathematical modeling of a morphological pattern for a broad spectrum of cryolithozone landscapes in a state of a dynamic balance. The state of the dynamic balance means that all the elements of this morphological pattern are in continuous changing while its general parameters a...

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Main Authors: Alexey S. Victorov, Olga N. Trapeznikova
Format: Article
Language:English
Published: Lomonosov Moscow State University 2019-10-01
Series:Geography, Environment, Sustainability
Subjects:
Online Access:https://ges.rgo.ru/jour/article/view/818
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author Alexey S. Victorov
Olga N. Trapeznikova
author_facet Alexey S. Victorov
Olga N. Trapeznikova
author_sort Alexey S. Victorov
collection DOAJ
description The paper deals with mathematical modeling of a morphological pattern for a broad spectrum of cryolithozone landscapes in a state of a dynamic balance. The state of the dynamic balance means that all the elements of this morphological pattern are in continuous changing while its general parameters as a whole are stable. Two contradirectional processes at the same territory is a precondition for a state of dynamic balance.We developed a morphological pattern model for lacustrine thermokarst plains with fluvial erosion on the base of the mathematical morphology of landscape using the random process theory. The contra-directional processes here include thermokarst lakes appearing and increasing in size from one side and drainage of the lakes by fluvial erosion, from the other. Thus, the regularities of the structure and dynamics of each landscape morphological pattern are theoretically substantiated. The results of the mathematical modeling were empirically verified at some key sites.
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publisher Lomonosov Moscow State University
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series Geography, Environment, Sustainability
spelling doaj-art-f45adb1418ff46769e3ece4dbbdf06132025-08-20T02:17:34ZengLomonosov Moscow State UniversityGeography, Environment, Sustainability2071-93882542-15652019-10-0112361510.24057/2071-9388-2018-68400Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone LandscapesAlexey S. Victorov0Olga N. Trapeznikova1Sergeev Institute of Environmental Geoscience of Russian Academy of ScienceSergeev Institute of Environmental Geoscience of Russian Academy of ScienceThe paper deals with mathematical modeling of a morphological pattern for a broad spectrum of cryolithozone landscapes in a state of a dynamic balance. The state of the dynamic balance means that all the elements of this morphological pattern are in continuous changing while its general parameters as a whole are stable. Two contradirectional processes at the same territory is a precondition for a state of dynamic balance.We developed a morphological pattern model for lacustrine thermokarst plains with fluvial erosion on the base of the mathematical morphology of landscape using the random process theory. The contra-directional processes here include thermokarst lakes appearing and increasing in size from one side and drainage of the lakes by fluvial erosion, from the other. Thus, the regularities of the structure and dynamics of each landscape morphological pattern are theoretically substantiated. The results of the mathematical modeling were empirically verified at some key sites.https://ges.rgo.ru/jour/article/view/818morphological patternmathematical modelingdynamic balancethermokarst lakekhasyrei (alas)landscapes of the cryolithozone
spellingShingle Alexey S. Victorov
Olga N. Trapeznikova
Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes
Geography, Environment, Sustainability
morphological pattern
mathematical modeling
dynamic balance
thermokarst lake
khasyrei (alas)
landscapes of the cryolithozone
title Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes
title_full Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes
title_fullStr Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes
title_full_unstemmed Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes
title_short Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes
title_sort stochastic models of dynamic balance state for the morphological patterns of cryolithozone landscapes
topic morphological pattern
mathematical modeling
dynamic balance
thermokarst lake
khasyrei (alas)
landscapes of the cryolithozone
url https://ges.rgo.ru/jour/article/view/818
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