Development of the methodology for economic and mathematical modeling of the potential of a border region

More than half of regions of the Russian Federation are bordering, i. e. neighboring with other states. Each subject in the system of border regions occupies a unique place, and is characterized by a set of features that underlie the classification presented in the article. We have proposed a methodology for evaluation of the cross-border potential of the constituent entities of Russia, which is based on the indicators considered by state statistics bodies. The article presents a scheme of convolution of indicators having different units of measurement. There is a decrease in the total cross-border potential over the studied period of time. We have identified the causes of this trend, and carried out an economic and mathematical modeling of the influence of cross-border potential on the economic development of the region, expressed in terms of the average per capita GRP, based on Spearman's rank correlation tool. It has been concluded that there is a positive moderate relationship between the indicated values.