Method of data recovery on the migration situation of the region using simulation modeling based on Rosstat aggregated data

The article is devoted to the task of restoring the values of data on interregional migration of the population from the aggregated data of Rosstat on the number of arrivals and departures in all regions of the Russian Federation. To solve the problem, a system of 2N equations with N(N-1) unknowns is constructed, where N is the number of subjects of the Federation, and the L_2 regularization method is used, which additionally uses weights inversely proportional to the population of the region. Several solutions with different regularization coefficients have been obtained. As a result, the values of migration between regions are restored according to the principle of "everyone with everyone". The regularization coefficient α is recommended to choose between the values 10^(-1) and 10^(-3). Solving a system of equations can give negative values, and to avoid this, it is recommended to proceed to the problem of quadratic programming.