Application of remote sensing and mathematical morphology of landscape for studying thermokarst processes

The purpose of this work is to study the development and regularity of morphological structures associated with thermokarst processes. An attempt is made to solve two problems, by analyzing the spatial regularity of morphological structures associated with thermokarst, and that of their dynamics. We use the method of landscape mathematical morphology - a branch of landscape science, investigating quantitative laws of landscape mosaics using methods of mathematical analysis of these mosaics. Investigation was carried out for five parcels in Siberia and Alaska. The analysis shows that a number of deductions from the proposed mathematical model for thermokarst lake plains are generally corroborated by empirical data.