Laws for the size distribution of Khasyreis

Abstract

The paper presents the results of empirical verification of the theoretical law, validated in a mathematical model of the morphological structure of thermokarst plains with fluvial erosion - the exponential distribution of the areas of khasyreis. The empirical testing based on the remote sensing data of high resolution involved 18 key sites at different regions of the cryolithozone in different natural environments. Eighty percent of the testing samples confirmed this theoretical statement. This result validates the suggested model and provides for the conclusion about the khasyrei radii corresponding to the Rayleigh distribution in different natural environments.