Determinants of Gross Regional Product in Russia: A Machine Learning Approach
DOI:
https://doi.org/10.17059/ekon.reg.2026-1-8Keywords:
gross regional product, machine learning, gradient boosting, SHAP analysis, regional economics, population income, foreign direct investment, time lagsAbstract
Spatial inequality among Russian regions remains a key issue of the national economy, driving sustained academic interest in the determinants of gross regional product (GRP). Despite extensive research, traditional econometric methods often fail to fully capture the complex non-linear relationships, time lags, and synergistic effects between growth factors. The aim of this study is to identify and comprehensively analyse the key determinants of per capita GRP in Russian regions by applying advanced machine learning (ML) methods to overcome the limitations of classical approaches. The empirical base comprises panel data for 85 Russian regions from 2013 to 2023. To predict GRP, 10 initial indicators were selected and grouped into thematic blocks: labour resources, investment, and production potential. A critical step was the creation of derivative features (lags and moving averages) and dummy-variables for regions and years. An ensemble of ML algorithms was used to build the predictive model, with the Light Gradient Boosting Machine algorithm showing the highest performance (R² = 0.7345). The results were interpreted using SHAP analysis and elasticity calculations. The results revealed the absolute dominance of population income indicators, particularly their lagged values and moving averages, confirming the hypothesis of cumulative and inertial growth. The second most significant factor was foreign direct investment, which also exhibited a time-lagged effect. The analysis confirmed all three hypotheses: the predominant influence of lags, the importance of synergy (strongest between income and wages), and the enhanced explanatory power of the model with derivative features. The findings may assist regional authorities in prioritizing sustainable income growth and strategic investment policies, accounting for lagged effects. A limitation of the study is its dependence on the quality of official statistics; future research could incorporate qualitative institutional and socio-cultural indicators.
References
Akberdina, V. V., Grosheva, P. Yu., Smirnova, O. P., & Ponomareva, A. O. (2022). An Analysis of the Impact of Human Capital Development on the Regional Economy’s Efficiency Through the Spatial Correlation Approach. Regional’naya Ekonomika: Teoriya i Praktika [Regional Economics: Theory and Practice], 20 (7(502)). https://doi.org/10.24891/re.20.7.1208 (In Russ.)
Allenykh, M. A., Dakhnovskaya, E. A. & Osepyan, V. R. (2023). Investments in the Regions as a Factor of Russia’s Economic Growth. Review of Business and Economics Studies, 11 (3), 18–26. https://doi.org/10.26794/2308-|944X-2023-11-3-18-26
Bado, B., Irwandi, & Karmila, Y. (2023). The Effect of Education, Poverty, and Population Growth on Economic Growth in South Sulawesi in 2010–2022. Formosa Journal of Multidisciplinary Research, 2 (5), 1047–1062. https://doi.org/10.55927/fjmr.v2i5.4311
Bakeev, B. V., Valiullin, R. F., & Gareev, B. R. (2020). The Impact of Banking Infrastructure on Gross Regional Product. Advances in Economics, Business and Management Research, 128, 3184–3189.
Batischeva, G. A., Denisov, M. Yu., Rybchinskaya, I. V., & Stryukov, M. B. (2018). Regional Development and Banking Activities. European Research Studies Journal, 21 (1), 455–465. https://www.ersj.eu/dmdocuments/43.STRYUKOV_XXI_S1_18.pdf (date of access: 15.12.2024).
Bondarenko, N. E., Dubovik, M. V., & Gubarev, R. V. (2018). “Triple Helix” as a Basis for Creating Innovation Systems. Vestnik Rossiiskogo Ekonomicheskogo Universiteta Imeni G. V. Plekhanova [Vestnik of the Plekhanov Russian University of Economics], (2(98)), 3–15. (In Russ.)
Bunga/Sunarti, A. I. K., Rismawati, & Patra, I. K. (2024). The effect of government expenditure on gross regional domestic product. In Proceedings of the International Student Conference on Business, Education, Economics, Accounting, and Management (ISC-BEAM) (Vol. 2, No. 1, pp. 1608–1619). https://journal.unj.ac.id/unj/index.php/isc-beam/article/view/46635 (date of access: 01.02.2025).
Cherednichenko, L., Gubarev, R., Dzyuba, E., & Fayzullin, F. (2020). Targeted Management of Innovative Development of Russian Regions. Vestnik Sankt-Peterburgskogo Universiteta. Ekonomika [St. Petersburg University Journal of Economic Studies], 36 (2), 319–350. (In Russ.)
Cayssials, G., González, F. A. I., & London, S. (2024). Population and Economic Growth: A Panel Causality Analysis. Population and Economics, 8 (3), 220–240. https://populationandeconomics.pensoft.net/article/109133/list/9 (date of access: 17.01.2025).
Dahana, S. Y., Susilastuti, D., Subiyantoro, H., & Wibawa, H. W. (2024). Determinants of Gross Regional Domestic Product and Its Impact on Community Welfare in Java Island. International Journal of Science Academic Research, 5 (1), 6932–6937. https://www.scienceijsar.com/sites/default/files/article-pdf/IJSAR-1997.pdf (date of access: 19.01.2025).
Darma, C. D. (2019). Determinants of the Gross Regional Domestic Product of East Kalimantan Province: Macroeconomic Variable Review. Review of Integrative Business and Economics Research, 9 (1), 232–241.
Dubovik, M. V., Dmitriev, S. G., & Obidovskaya N. N. (2022). Regression Model of the Gross Regional Product of the Bryansk Region and the Output of the Branches of the Regional Economy. Kant, (1(42)), 27–33. https://doi.org/10.24923/2222-243x.2022-42.4 (In Russ.)
Dubovik, M., Dmitriev, S., & Aitkazina, M. (2025). The Impact of Gross Regional Product Per Capita on the Processes of Convergence between Different Regions of the Country. Qubahan Academic Journal, 4 (4), 443–445. https://doi.org/10.48161/qaj.v4n4a931
Feriyanto, N., Muafi, & El Aiyubbi, D. (2019). Regional Spillover Effect to Gross Regional Development Product (GRDP) in the Special Region of Yogyakarta, Indonesia. Entrepreneurship and Sustainability Issues, 6 (3), 1318–1334. https://doi.org/10.9770/jesi.2019.6.3(19)
Gross, J., & Ouyang, Y. (2020). Types of Urbanization and Economic Growth. International Journal of Urban Sciences, 25 (3), 1–15. https://doi.org/10.1080/12265934.2020.1759447
Hui, Z. (2024). Study on coupling relationship between population structure and regional economy in Ordos, China. Economy and Society, (1(116)), 669–673.
Istiqomah, I., Wibowo, A. A., Yunianti, E., & Gunawan, D. S. (2019). Determinants of Gross Regional Domestic Product in Eastern Indonesia Region. Trikonomika, 18 (1), 18–24. https://doi.org/10.23969/trikonomika.v18i1.1233
Kudrov, A. V. (2023). The Impact of economic complexity and industry specialization on the gross regional product of Russian regions. Biznes-Informatika [Business Informatics], 17 (4), 25–40. https://doi.org/10.17323/2587-814X.2023.4.25.40
Maestas, N., Mullen, K. J., & Powell, D. (2023). The Effect of Population Aging on Economic Growth, the Labor Force, and Productivity. American Economic Journal: Macroeconomics, 15 (2), 306–332. https://doi.org/10.1257/mac.20190196
Masud, R. (2022). The Economic Impact of Investment, Expenditure and Wages on GRDP — a Case Study of 47 Prefectures of Japan in 2005. Technology Audit and Production Reserves, 6 (4(68)), 43–48. https://doi.org/10.15587/2706-5448.2022.271840
Mose, N. (2021). Determinants of Regional Economic Growth in Kenya. African Journal of Business Management, 15 (1), 1–12. https://doi.org/10.5897/AJBM2020.9118
Murrar, A., Asfour, B., & Paz, V. (2024). Banking Sector and Economic Growth in the Digital Transformation Era: Insights from Maximum Likelihood and Bayesian Structural Equation Modeling. Asian Journal of Economics and Banking, 8 (3), 335–353. https://doi.org/10.1108/AJEB-12-2023-0122
Myrdal, G. (1957). Economic Theory and Underdeveloped Regions. Methuen, 169.
Nguyen, D. T., Tran, L. C., Bui, T. N. H., Ngo, T. T. T., & Nguyen, T. L. H. (2021). The Relationships Between Foreign Direct Investment, Export and Economic Growth. Accounting, 7 (6), 1371–1378. https://doi.org/10.5267/j.ac.2021.3.028
Pires Manso, J. R., Fernandes de Matos, A. J., & Carvalho, C. C. M. (2015). Determinants of Regional Growth in Portugal: An Empirical Analysis. Economics and Sociology, 8 (4), 11–31. https://doi.org/10.14254/2071-789X.2015/8-4/1
Pyo, S., & Choi, S. O. (2025). Regional Innovation and Economic Growth: Empirical Insights from FGLS, FE-DKSE, and XGBoost-SHAP Approach. Journal of Open Innovation: Technology, Market, and Complexity, 11 (2), 100524. https://doi.org/10.1016/j.joitmc.2025.100524
Rodionov, D., & Velichenkova, D. (2020). Relation between Russian Universities and Regional Innovation Development. Journal of Open Innovation: Technology, Market, and Complexity, 6 (4), 1–26. https://doi.org/10.3390/joitmc6040118
Romer, P. M. (1990). Endogenous Technological Change. Journal of Political Economy, 98 (5), S71–S102. https://doi.org/10.1086/261725
Ruzima, M. (2016). Impact of Inflation on Economic Growth: A Survey of Literature Review. International Multidisciplinary Research Journal, 5 (10), 1–9.
Setyowati, E. (2023). Analysis of Indonesia Economic Growth Based on Investment Value and Human Development Index Using an Econometric Approach. Jurnal Statistika Universitas Muhammadiyah Semarang [Journal of Statistics, University of Muhammadiyah Semarang], 10 (2), 42–53. https://doi.org/10.26714/jsunimus.10.2.2022.43-53
Shafrullah, F., Indrawati, L., Ismail, S., Ihsan, F., Pratiwi, P. A., & Karno, K. (2024). Determinant Factors of Gross Domestic Product (GDP) in Association of Southeast Asian Nations (ASEAN) Member Countries. F1000Research, 13, 384. https://doi.org/10.12688/f1000research.146826.2
Solomonov, M. P., Pakhomov, A. A., & Okhlopkov, G. N. (2021). Analysis of the influence of factors on the gross regional product of Russian regions. IOP Conference Series: Earth and Environmental Science, 666 (6), 062109. https://doi.org/10.1088/1755-1315/666/6/062109
Srebnijs, A., Sičs, M., & Krasnopjorovs, O. (2019). Determinants of Economic Growth in the EU NUTS2 Regions. Journal of Economics and Management Research, 8, 6–35. https://doi.org/10.22364/jemr.8.01
Thanh Trong, N., Thi Dong, N., & Thi Ly, P. (2024). Population Aging and Economic Growth: Evidence from ASEAN Countries. Cogent Business & Management, 11 (1). https://doi.org/10.1080/23311975.2023.2298055
Vladyka, M., Mamatov, A., Stryabkova, E., & Gorbunova, E. (2020). Investment in Human Capital as a Factor of Growth of the Gross Regional Product. Advances in Economics, Business and Management Research, 157, 330–336. https://doi.org/10.2991/aebmr.k.201215.041
Webber, D. J., Healy, A., & Bristow, G. (2018). Regional Growth Paths and Resilience: A European Analysis. Economic Geography, 94 (4), 355–375. https://doi.org/10.1080/00130095.2017.1419057
Xu, X. (2023). Analysis of the Impact of Education Level on Regional GDP. Highlights in Business, Economics and Management, 21, 293–300. https://doi.org/10.54097/hbem.v21i.14410
Zhiryaeva, E. V., & Dmitriev, P. A. (2022). Influence of Various Forms of Education on the State of Human Capital as a Factor of Production in the Regions of Russia. Upravlencheskoe Konsul’tirovanie [Administrative Consulting], (7(163)), 137–149. https://doi.org/10.22394/1726-1139-2022-7-137-149 (In Russ.)
Zhukov, R. A., Polyakov, V. A., & Vasina, M. V. (2018). The Impact of Innovation, Labour and Capital in Gross Regional Product as an Indicator of Sustainable Development: The Regions of the Central Federal District and Tula Region. Nauchnye Issledovaniya i Razrabotki. Ekonomika [Scientific Research and Development. Economics], 6 (5), 4–9. https://doi.org/10.12737/article_5bcf0ee258e203.74618577 (In Russ.)
Zotikov, N. (2023). Gross Regional Product as Indicator of Economic Development and Quality of Life of the Population. Oeconomia et Jus, 3, 25–35. https://doi.org/10.47026/2499-9636-2023-3-25-35
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