The environmental situation in the Khmelnytskyi oblast has been analyzed, models and forecasts of indicators have been developed by methods of extrapolation, regression analysis and trend models, and the quality of forecasting has been estimated. Namely, the models of influence of selected factors on the environmental situation in the Khmelnytskyi oblast have been developed. One-and multifactorial regression models have been constructed, conclusions about the degree of influence of factors have been made. Trend models of indicators of the ecological situation in the region have been constructed. Estimates of pollutant emissions, indicators of the creation and disposal of hazardous waste have been developed using different forecasting methods. These calculations can be used to carry out activities aimed at protecting the environment.

The article considers the theoretical and methodological foundations of forest industry research. The analysis of indicators of the forest industry of Khmelnytskyi region and Ukraine is carried out. To do this, a list of indicators and methods of their collection for the study of the forest industry. Since the state of ecology and forestry in Ukraine is not in the best condition, it is objectively necessary to use methods of economic and mathematical modeling of forest management, which would take into account environmental, economic and social factors, which will quickly implement the principles of sustainable development in forest management. The dynamics of forestry indicators is estimated. Models of dynamics of indicators of forest branch are developed; the received forecasts are analyzed and recommendations on forest management in the region are given. It is determined that with an increase in investment in the development of the forest industry by 1%, we can expect an increase in the volume of the logging market by 524632.5 points. The results of the study can serve as a basis for management decisions on the management of forestry indicators.

The level of dependence of the ecological state and its management in the Khmelnytsky region of Ukraine on the welfare of the population of this region is analyzed. The relationship between the level of income of the population of the region and the level of motivation of the same population in the sorting of buildings using a systematic approach within the ecological and economic system. The shift of consumption by the population of the region from the non-food sector to the food sector causes not only a change in parity in the triangle "man - business entity - nature", but also proves the lack of public interest in sorting household waste. This level of social responsibility and motivation of the region's population will indicate non-compliance with the goals of sustainable development of the region. The model of dependence of need for sorting of waste on the level of income of the population offered by us in article confirms it. The forecast of income growth of the population of Khmelnytsky region makes it possible to make assumptions about the growing interest of the population in sorting household waste, which will ultimately contribute to the sustainable development of the region

The article examines the issues of submitting applications and receiving funding for public projects depending on the demographic situation in the region. It is shown that the activity of the population in submitting applications for community projects contributes to the effectiveness of investing in the development of cities and regions. The dynamics of project submission in connection with the permanent population of Khmelnytskyi region is analyzed. In the course of the analysis, it was found that women make up the largest share among both the population and those who submit social projects. According to age characteristics, in spite of an increase in the proportion of the older age groups, mainly younger and middle age groups of the population develop community-based projects. The gender trend identified during the study indicates that women are more active in local processes than men who more closely coordinate these projects with government agencies. According to these statistics, a forecast is provided as to allocation of funds for the public projects’ financing.