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The research is aimed at studying the quantitative laws of the morphological pattern dynamics for alluvial plains. Basing on the random process theory - the renewal process theory, we substantiate that in the course of the development despite constant changes such as generating new packages, erasing old packages, changing of the number of a package, some features of the morphological pattern remain the same. They are the length distribution of the arrows for the preserved (non-erased) package fragments, the durati...

The research is aimed to demonstrate the possibility to find the quantitative characteristics of the processes developing in the landscapes of the thermokarst plains with fluvial erosion, using a momentary set of landscape metrics without long repeated observations. We examine a mathematical model of the morphological pattern of the thermokarst plains with fluvial erosion in the case of the asynchronous start developed in the framework of the mathematical morphology of landscapes. We have obtained empirical data o...

The theoretical analysis is based on the mathematical models of morphological patterns of the thermokarst plains and thermokarst plains with fluvial erosion in case of the ?synchronous start? of the thermokarst processes and little change of climate. The synchronous start means that the initial thermokarst depressions had appeared during a relatively short period and then only their size changed under thermos-abrasion or they disappeared due to their drainage by erosion streams (at the thermokarst plains with fluv...

Thermokarst plains with fluvial erosion were studied for the prognosis of their development including natural exogenous hazards. These plains develop through two contrasting processes: 1) thermokarst lakes appearing and increasing in size, 2) drainage of the lakes through fluvial erosion and their transformation into khasireis (drained thermokarst depressions). The present research deals with four different variants of development of the thermokarst plains with fluvial erosion. The research uses mathematical model...

The research deals with cyclic processes. The cyclic processes are those exogenous geomorphological processes which are characterized by the repeating sequence of changes. These processes include landslides, snow-slips, and some others where activation of the process is followed by the stage of its recovery, such as microrelief recovery, vegetation and soil cover recovery. The process occurs under the influence of two groups of factors: local factors independently activating separate sites (the local activation) a...