Abstract
The problems of modeling the spatial structure of the fields of thermokarst lakes in the permafrost zone of Western Siberia based on the geo-simulation approach are considered. The basic principles for the development of a geo-simulation model for the structure of thermokarst lakes fields are outlined. Experimental data on the properties of lake fields obtained on the basis of the integration of high- and medium-resolution satellite images are presented. Data analysis showed that the empirical histogram of the distribution of lakes by size is approximated by the lognormal distribution law by the Pearson criterion with a probability of 0.99. This law of distribution, in contrast to the power law of size distribution of lakes that is commonly used in such studies, also takes into account small lakes, considered as intense sources of methane emission into the atmosphere from thermokarst lakes. An example of modeling the field of thermokarst lakes with a lognormal law of their size-distribution is given.
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