In this article, the index approach to an estimation of situational multifactor economic categories is considered: a level of development of a social and economic infrastructure of region and population living conditions. Author’s mathematical models of formation of the integrated estimated indexes formulated on principles of the factorial analysis of hierarchies are used. The constructed estimated integrated indexes form a basis of ranging of territories, both in an annual cut and in dynamics on years that, in turn, allows to analyse the change in ratings of territories (during 5-10 years): on a level of development of an infrastructure and quality of life of the population. Authors give results of computer modelling of an index of development of a social and economic infrastructure. Here authors use additional parameters for the measurement of an index of capital investments in an infrastructure. Further, authors model an index of quality of life of the population. Here the methods used are the analysis of hierarchies, the factorial analysis and a method of the main things a component. Then the interrelation analysis between tendencies of change of indexes through comparison of ranks of territories is made. Theoretical offers of authors are accompanied by quantitative results of modelling experiments on materials of 30 Chinese provinces for the period of 10 years period.