Abstract

Introduction Complex development of the Russian economy depends on sustainability and complexity of development of its regions' economy. However, diversity of resources which ensure functioning of territories and their distribution determine differentiation and, correspondingly, necessity for classification of the Russian territories as to various aspects, which is caused by necessity for development of corresponding mechanisms and tools of managing the development of economy of sparsely forested area of Russia [Zinovyeva I.S., 2014]. A special place in the system of provision of complex use of forest resources in the Russian economy belongs to limited resources. These resources include forest ones. It is known that forests are distributed unevenly on the territory of Russia--mostly, under the influence of climatic and anthropogenic factors. Activities for use of forest resources on the territories of sparsely forested zone are not equal as to efficiency or profitability, while the state has to know which combination of forest resources on specific territory of sparsely forested zone provides maximal income for the state (forest income). Entrepreneur is interested in the maximal profit (entrepreneurial income), and this is achieved in the process of complex use of forest resources on the territories of sparsely forested zone; he also has to know optimal combination of areas as to their profitability. However, entrepreneur's income is influenced by state's income in the direction of reduction, so it is necessary to find optimum for both [Morkovina S.S., Zinovyeva I.S., 2014]. Over the recent decade, the task of multipurpose choice became one of the key problems of modern systemic analysis. Growing flow of publications on this topic shows the width and diversity of offered practical tasks of multi-criteria optimization and the fact that there are still many unsolved issues in this sphere [Kolesnichenko E.A., NesterovaN.N., 2013]. Methodology In the sphere of application of methods of multi-criteria optimization, an important place belongs to the tasks of management of economic systems, solving of which requires coordination of various goals. It is no chance that within economic & mathematical theory, a range of key concepts and principles of solving multi-criteria tasks has formed. In our case, we have two goals--increase of income of entrepreneur and increase of state's income. The authors form a model which allows performing zoning of territory of forest areas as to values of deviations of current income of the state and entrepreneur from optimal income from the point of view of the most profitable use of lands. The task of determination of the structure of forestry lands' use that is optimal from the point of view of profitability is studied--distribution of lands as to types of forest use. The criteria of optimization in this case are maximization of income of entrepreneur and state. Thus, the model of multi-criteria optimization is used for determination of deviations of profitability. The basis of the model is data as to profitability of the use of forest resources, for which it is advisable to use the data of executive power bodies of the subjects of the RF in the sphere of forest relations. The first stage supposes determination of areas of forest fund which are used by tenants for various types of forest use; determination of areas and volume of forest use as to buy-sell contracts of forest plants within state contracts and as to buy-sell contracts made as a result of auctions. The second stage includes calculation of state's income from 1 hectare of forest fund areas under the condition of provision of forest plots for conduct of recreational activities and game husbandry, as ratio of rental contracts and area of rented plots. The third stage supposes determination of volumes of rental payments and payments of buy-sell contracts during procurement of timber. …

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