The agricultural sector is one of the leading ones in the economy of many countries, as it creates the basis for their economic growth. Every region in every country has its own unique sphere of social reproduction due to different resource potential, i.e., fertile soils, favourable climatic conditions, etc. Under such conditions, it is irrelevant to choose a single development path for this sector. Given these facts, the study formulates development strategies for regional agricultural development of the country. In particular, we grouped regions into clusters according to the level of development of crop production and stockbreeding potential, as well as investment attractiveness. The method of cluster analysis was used to group regions by the level of capacity development, whilst the matrix method was used to formulate a matrix for choice of the strategy to improve the agricultural potential of regions. On the basis of the conducted analysis, the 3D matrix for the choice of investment strategy of the regional agricultural development of the country depending on the level of development of crop production and stockbreeding potential and investment attractiveness was constructed.

There is no sector of the economy that is not dependent on the state of development of the energy sector. This sector produces a significant share of global CO₂ emissions. Harmful CO₂ emissions and greenhouse gas emissions accelerate global warming. Therefore, more and more countries are adopting a strategy for the transition to carbon-neutral energy. However, energy independence and economic competitiveness are closely linked. One cannot analyze them separately. Given these facts, we focused on conducting an econometric study of the impact of key macroeconomic indicators on the level of CO₂ emissions into the air in the United States and the Asia-Pacific region as the regions with the largest CO₂ emissions. The modeling was carried out using the method of a correlation–regression analysis with the subsequent construction of econometric models. The quality of the built econometric models was checked using the coefficient of determination and Fisher’s criterion. The sample of statistics was formed from all the available values of the World Bank’s annual indicators for the period 1970–2020. The findings achieved showed that: (i) The results of our study confirmed the dependence of CO₂ emissions on macroeconomic factors such as GDP, exports and imports, the rate of inflation, and unemployment. It allows the governments of many countries to use research findings to diagnose, monitor, and forecast macroeconomic outcomes to reduce or maintain allowable CO₂ emissions. (ii) Identifying and assessing economic losses from environmental pollution by CO₂ emissions using econometric models will allow to ensure effective public environmental and economic policies aimed at reducing harmful CO₂ emissions into the air. It may be regarded as the practical importance of our study.

The purpose of the study is to analyse the impact of the investment component on the development of the Recreational and Tourist Industry (RTI), and to perform a comprehensive analysis in order to elaborate a strategic development plan for the sector. Using the matrix method of research and mathematical method of rating, the general strategic direction of development of the recreational and tourism sphere of each region of Ukraine was estimated and chosen. We have developed a matrix "Recreational potential – RTI investment support", which consists of six quadrants and characterizes the long-term attractiveness of the recreational and tourist sphere and its investment level in the market of recreation, entertainment, and sports. The level of income per capita and the level of investment in collective accommodation facilities were investigated. This allowed to determine: (1) which regions need investments for the development of the recreational and tourist sphere as one of the priority areas; (2) which regions already have a sufficient level of cash flow in the recreational sphere, and finally, (3) which regions need careful analysis with the following elaboration of an alternative direction for recreation development in these regions. Based on two indicators, i.e. investment level and recreational potential, a matrix consisting of 6 quadrants was constructed. All regions of Ukraine were classified in this matrix. The results of the study will have implications for the industry, allowing authorities of different levels to formulate a rational policy for the development of the tourism industry.

Tourism development is uneven, which is related to the level of socio-economic development of territories, peculiarities of historical and cultural processes, resource provision, etc., which determines the need to study the structure of the tourist market based on spatial polarization based on statistical methods. The study aims to identify disparities in tourism development in Ukraine's regions and to group them according to indicators that characterize tourism's development level. To solve the problem, the authors used a modified cluster analysis method. The article presents the author's approach, which, unlike the existing ones, allows taking into account clarifying weighting factors and corrective penalty functions for each indicator to minimize probabilistic influences when determining the distance between objects. The uneven development of the tourism sector in the regions of Ukraine was revealed. As a result, six clusters were distinguished based on indicators of tourism development in the regions of Ukraine as of 2020, and the peculiarities within each cluster were found. State authorities can use the research results to ensure the comprehensive development of territories by forming effective regional tourism strategies and promoting the development of the most promising tourism destinations and products.

Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, the scientific journal of the Mendel University in Brno, Czech Republic