ABOUT APPROXIMATION OF FACTORS IN DEVELOPMENT’S DIFFERENTIAL MODEL FOR AGRICULTURE OF PERM REGION
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AbstractThe aim is to study the applicability of various approximations for multi-factor model of socio-economic system based on a first-order differential equation. The study is based on data about agriculture of Perm Region for the 2005-2010year. Modified Euler method is used for solving the equation. Coefficients of the model are calculated by the modified method of descent, where the sections of the quadratic error function for each factor in each step are calculated. Three types of approximations are consumed: pre-, post- and linear effect factor at the any year. The special software is made for this task and series of modeling are calculated. As a result, the method of form factor approximation choice is proposed and tested, and besides consideration of economic meaning of factors aren't belied error reduction of disperancy calculed on actual data.