Main Results of the Development of the Mathematical Landscape Morphology

Abstract

The purpose of the article was to characterise the recent development of mathematical landscape morphology. Materials and methods. The main research materials were high-resolution remote sensing data. Mathematical modelling based on the approaches of the theory of random processes was used as a basic method. Results and Discussion. As a result, a wide range of results was obtained. Thus, the development of new mathematical models of morphological pattern, primarily of ridge arid landscapes, was undertaken. New regularities of the structure and development of morphological structures were obtained, for example, interrelations of average areas of lakes and areas of khasyreys (drained lakes) within erosion-thermokarst plains. The state of dynamic equilibrium in the development of morphological patterns, primarily abrasion banks with the development of landslide processes on the example of cryolithozone banks was investigated. The influence of climatic changes on the development of morphological patterns was carried out. The methods of using mathematical morphology of landscapes for the assessment of natural risks are developed. The changes in quantitative assessments of natural risks of damage to linear structures in connection with climatic changes in the cryolithozone area are studied. Conclusions. Mathematical morphology of landscape remains one of the promising branches of landscape science, which allows us to make an attempt to create some theoretical and mathematical foundations of landscape morphology.