Dynamic model for predicting quality of life indicators in the region

Abstract

An approach to assessing and forecasting indicators of the quality of life of the population in the region based on the concept of system dynamics is presented. A mathematical model has been developed, which is a system of non-linear, non-homogeneous, different-tempo differential equations, which include system variables and external factors. A digraph of causal relationships between system variables and external factors is constructed. As system variables, the model uses indicators of socio-economic development of the region: gross regional product, life expectancy at birth, population size, per capita per capita income, registered unemployment rate, birth rate, share of the population with income below the subsistence level, the weight of organizations using personal computers. The choice of external factors and functional dependencies in the developed model is substantiated. The adequacy of the developed mathematical model was checked using retrospective data and the calculation of the relative error. The interface of the author’s software application “Prognoz_2”, developed in the GUIDE MatLab environment, used to conduct computational experiments, is presented. An example of the practical implementation of the developed approach to assessing the quality of life in the Saratov and Samara regions is considered. The results of the computational experiment on the analysis and prediction of the quality of life on the time interval [2022;2026] years within the framework of the implementation of three scenarios are shown. The values of system variables in 2021 normalized relative to 2010 were used as initial conditions for the calculations. The developed software can be used to form scenarios for the socio-economic development of the region. Models and algorithms can be used as part of an information-advising system for making decisions at various levels of management.