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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...