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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...