Abstract
The decomposition of the litter changes its indicators under the influence of climatic changes. Taking into account the impact of this process on the global carbon cycle, the decomposition process is a feedback affecting future climate change. The special role of the litter decomposition process in the overall carbon cycle on a regional and global scale determines the importance of studying the regularity of the influence of climatic parameters on the rate of decomposition of forest litter. Known approaches to solving this problem are based on a probabilistic analysis of the relationship between climatic factors. It is indicated that the task of determining the relationship between temperature and soil moisture when assessing their joint impact on the decomposition rate of forest litter can be formulated in a slightly different way. From the point of view of the ecology of the forest ecosystem, the following statement of the problem is no less interesting: under what relationship of these factors can the decomposition rate reach extreme values? The author proposes a representation of the problem being solved in the form of an extreme problem, taking into account some restrictive conditions imposed on the desired function of the relationship between temperature and soil moisture. The proposed new approach to solving the problem of the influence of climatic factors such as soil temperature and humidity, which consists of calculating the conditions leading to an extremum of the decomposition rate of forest litter, allows us to determine the function of the relationship between these factors and the point at which the decomposition rate reaches a peak. The solution to the problem allowed us to calculate the optimal type of the studied relationship, at which the rate of decomposition of the forest litter reaches an extreme. The results of the study can be used in modeling the processes of the influence of climatic factors on the overall carbon cycle of the forest ecosystem
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