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Fractal analysis of divergent economic development of Russian Regions

Abstract

The purpose of the paper is to test the hypothesis of persistent divergent development of Russia’s regions. The authors applied fractal analysis to identify stable patterns in the dynamics of per capita monetary income of regional populations. The obtained values of the Hurst exponent and fractal dimension for the analyzed variables confirm the authors’ hypothesis about the persistence of interregional inequality based on the selected indicator. High values of the Hurst exponent and fractal dimension in some regions indicate an increase in interregional inequality. Regions with stable growth will continue to develop faster, while lagging regions will fall further behind. The results of our study highlight the importance of developing and implementing regional economic strategies aimed at reducing inequality and supporting less developed regions. The use of fractal analysis and the Hurst exponent in our research allowed for a deeper understanding of the dynamics and structural features of regional economic development, complementing traditional methods of economic analysis. The authors concluded that the dynamics of per capita monetary income exhibit a strong dependence on previous values, which on one hand indicates resilience to external shocks, and on the other hand suggests a conservation of existing trends towards divergence in the trajectories of economic development across the country’s regions.

About the Authors

M. V. Dubovik
Plekhanov Russian University of Economics
Russian Federation

Doctor in Economics, Associate Professor



S. G. Dmitriev
Plekhanov Russian University of Economics, Bryansk branch
Russian Federation

Ph.D. in Economics, Researcher



References

1. Butyrin A., Fomicheva S.G. Study of fractal singularities when analyzing stock indeces // π-Economy. – 2009. – No. 5 (85). – P. 220–233.

2. Gamalei YA.V. Fractal analysis and cash flow forecasting // π-Economy. – 2008. – No. 5 (64). – P. 211–219.

3. Gamalei YA.V. Fractal analysis of the dynamics of regional economy indicators // π-Economy. – 2008. – No. 5 (64). – P. 73–79.

4. Gafarova E.A., Dobikova D.V. Fractal approach to economic crises forecasting // Economics and ecological management. – 2012. – No. 1.

5. Dubovik M.V., Dmitriev S.G. Divergency of money incomes of the population of Russian regions // Creative economics. – 2024. – No. 3 (18). – P. 697–724.

6. Kirichenko L.O. Comparative multifraсtural analysis of time series using the methods of detrended fluctuation analysis and the maximum of wave conversion moduls // Automated control systems and automation devices. – 2011. – No. 157. – P. 66–77.

7. Perepelitsa V.A., Tlisov A.B., Tlisova S.M. Fractal analysis of the dynamics of small enterprises economic indicators // Proceeding of Higher Education Institutions. North Caucasian region. Social sciences. – 2004. – No. 3. – P. 64–66.

8. Peters E.E. Fractal analysis of financial markets. Application of the chaos theory in investment and economics. – Moskva: Internet-treiding, 2004. – 304 p.

9. Andronache I.C. [et al.]. Using Fractal Analysis in Modeling Trends in the National Economy // Procedia Environmental Sciences. – 2016. – (32). – P. 344–351.

10. Fang H., Lai K. S., Lai M. Fractal structure in currency futures price dynamics // Journal of Futures Markets. – 1994. – No. 2 (14). – P. 169–181.

11. Khalili Golmankhaneh A. [et al.]. Economic Models Involving Time Fractal // Journal of Mathematics and Modeling in Finance. – 2021. – No. 1 (1).

12. La Torre D., Marsiglio S., Privileggi F. Fractals and self-similarity in economics: the case of a stochastic two-sector growth model // Image Analysis & Stereology. – 2011. – No. 3 (30). – P. 143–151.

13. Mandelbrot B. The Fractal Geometry of Nature. – W.H. Freeman and Co., 1982.

14. Mwema F.M. [et al.]. Advances in manufacturing analysis: fractal theory in modern manufacturing. – Elsevier, 2020. – P. 13–39.

15. Soliman A.S. Fractals in nonlinear economic dynamic systems // Chaos, Solitons & Fractals. – 1996. – No. 2 (7). – P. 247–256.

16. Yao Fengge, Han Jing. The empirical study on fractal characteristics of real estate market. – Seoul: IEEE, 2010. – P. 772–775.

17. Fractals in Engineering: From Theory to Industrial Applications / ed. J. Lévy Véhel, E. Lutton, C. Tricot. – London: Springer, 1997.

18. Standard of living // Federal State Statistics Service. – URL: https://rosstat.gov.ru/folder/13397.


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Dubovik M.V., Dmitriev S.G. Fractal analysis of divergent economic development of Russian Regions. Kazan economic vestnik. 2024;1(4):33-40. (In Russ.)

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ISSN 2305-4212 (Print)