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The study aims at assessing the current aquaculture insurance in the Russian market. Due to this, it is necessary to understand the role of the aquaculture industry in the economy and determine its development in Russia, as well as to assess the modern concepts and processes of the aquaculture insurance. According to the general conclusions of the study, the fish farmers’ need in insurance varies depending on the type and size of aquaculture enterprises, the financial structure of their business, and the types of the grown aquatic organisms. In the study it is indicated that the aqua-insurance has not yet become a marketing instrument to minimize economic risks for most fish farmers. This is mainly due to the fact that the aquaculture industry in Russia is still relatively small, and therefore there is a lack of knowledge and experience in the aquaculture insurance. However, the Russia’s strategic position, an extensive fund of inland waters and marine areas, and a diverse species composition of farmed and cultivated aquatic biological resources make the aquaculture development rather attractive for business development. Thus, in the study it is concluded that in case of the further development of fish farming, the demand for knowledge and experience in the area of aquaculture insurance will increase.

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The article discusses the problems and possibilities of environmental management in the digitalization of the economy and the model of a circular economy. The potential for environmental governance in a circular economy model for the digital economy is innovative. The main problem in the current development type is a high ecological pressure and low efficiency of use of the ecological tools. The rationale for this is the use of decomposition and hierarchical ordering methods for the purpose improvements of institutional changes. Particular attention is paid to the dissemination of environmentally oriented methods of management of the circular economy at different levels of the economic system. The article discusses the issues of improving environmental management systems based on the decomposition of management objects for agriculture 4.0. Environmental management improves competitiveness and efficiency for sustainable development of the agricultural sector. The environmental component of the digitalization of the agricultural sector increases efficiency and allows the development of a circular economy model. The author’s hypothesis is based on the key role of environmental management in the digital model of economic development. Purposeful institutional application of the principles of circular economy is a promising direction for improving rational resource-saving agriculture 4.0. Methodological issues in the field of environmental management and sustainable development of agriculture 4.0 require further research.