MATHEMATICAL MODELING OF THE IMPACT OF THE LEVEL OF THE NORMATIVE MONETARY VALIDATION OF LAND ON THE INDEX OF CHANGES IN THE RATE OF THE AREA OF REGIONS TO THE POPULATION BY REGION

It is proved that the normative monetary valuation is determined by the directions and features of land use, includes a set of value parameters that characterize the possibilities of forming and realizing land potential. The monetary valuation of land is characterized as an economic mechanism for ensuring land relations, the formation and functioning of the land market. The goal of the study was achieved in terms of forming a quantitative basis for making informed decisions in the field of land relations. The following tasks were solved in the work: determining trends in changes in the normative monetary valuation of land at the regional level; characterizing transformations of the index of changes in the ratio of the area of regions to the population by regions; substantiating the directions of mathematical modeling of the influence of the level of normative monetary valuation of land on the index of changes in the ratio of the area of regions to the population by regions; establishing cause-and-effect relationships between the level of normative monetary valuation of land and the index of changes in the ratio of the area of regions to the population by regions by using mathematical modeling tools. As a result of the study, directions for mathematical modeling of the impact of the level of normative monetary valuation on the index of changes in the ratio of the area of regions to the population by region were proposed. An insignificant level of influence of the directions of formation and use of normative monetary valuation on the index of changes in the ratio of the area of regions to the population by region was determined. This indicates the need to change the structural components of the normative monetary assessment, to ensure the growth of the importance of spatial, urban planning, and environmental factors in the land use system. The reliability indicators of the developed mathematical model indicate its adequacy, since the actual values of the Student's t-test, Fisher's F-test, and the Durbin-Watson test exceed their normative values. The test for homoscedasticity or heteroscedasticity indicates that the actual value is less than the normative value. This indicates the homogeneity of the distribution of the residuals.