Laws for Size Distribution of Khasyreis

Abstract

The results of empirical verification of the theoretical law of exponential distribution of khasyrei areas substantiated in a mathematical model for a morphological pattern of the thermokarst plains with fluvial erosion are presented. This statement is verified at 18 sites located in various regions of the cryolithozone in different physicogeographical environments using high-resolution satellite imagery data. The hypothesis is confirmed in 80% of samples. This confirms the model developed and makes it possible to conclude that the distribution of the khasyrei radii in the different environments obeys a Rayleigh distribution.