In the section | Articles |
Title of the article | Interregional Trade in Russia: Gravity Approach |
Pages | 98-127 |
Author 1 | Konstantin Nikolaevich Salnikov Postgraduate Student Far Eastern Federal University 10 Ajax Bay, Russky Island, Vladivostok, 690922, Russian Federation This email address is being protected from spambots. You need JavaScript enabled to view it. ORCID: 0009-0008-3516-8934 |
Author 2 | Alexander Yurievich Filatov Candidate of Sciences (Mathematics), Head of the Research Laboratory of Socio-Economic Process Modeling Far Eastern Federal University 10 Ajax Bay, Russky Island, Vladivostok, 690922, Russian Federation This email address is being protected from spambots. You need JavaScript enabled to view it. ORCID: 0000-0002-0380-5598 |
Abstract | The paper analyzes interregional trade in Russia using gravity models. The model estimates the trade elasticity with respect to the size of exporting and importing regions and the distance between them. In addition, the impact on trade of additional factors, such as the common border of trading regions, the presence or absence of railroads, land or sea borders with other countries, is studied. Special attention is given to the issue of measuring distances between regions. The influence of the method of calculating the distance matrix (from the simplest orthodromic to the proposed weighted matrix of the shortest road and rail distances) on the coefficients of the models is studied. The all-Russian estimates of trade elasticities by the size of the exporting and importing region, equal to 1.15 and 1.05, showed high accuracy and robustness to the set of factors included in the model, the observation period, and the distance matrix. Both values were greater than one, which is significantly higher than typical estimates for international trade. This suggests that large and wealthy regions in Russia trade more, further increasing their welfare, while small and depressed regions are unable to escape the poverty trap, further increasing the current high level of regional heterogeneity. Distance is also very important in Russia (the elasticity of trade with respect to distance is –1.15, which is much higher than the world average, but still lower than the previous estimates for Siberia and the Russian Far East). This indicates insufficient transport infrastructure, higher costs of information search, transactions, contract execution, and other difficulties associated with long-distance trade. The absence of railroads in a region reduces its trade by about one-third, while neighboring regions increase the quantity of goods transported between them by about 75%. An external land or sea border facilitates domestic imports, some of which are re-exported abroad and some are consumed with the money earned from exports. At the same time, domestic exports from border regions, which cannot compete with external exports, are reduced. The method of calculating the distance matrix has a significant effect on the elasticity of trade with respect to distance, and to a limited extent on other coefficients of the model. In this case, it is recommended to use the weighted matrix proposed in this paper, which uses road distances for nearby regions and rail distances for distant regions |
Code | 332.1+339.1+330.4 |
JEL | C31, F11, R10 |
DOI | https://dx.doi.org/10.14530/se.2024.3.098-127 |
Keywords | spatial economics, gravity models of trade, interregional trade, metrics, distance matrix, Russia |
Download | |
For citation | Salnikov K.N., Filatov A.Yu. Interregional Trade in Russia: Gravity Approach. Prostranstvennaya Ekonomika = Spatial Economics, 2024, vol. 20, no. 3, pp. 98–127. https://dx.doi.org/10.14530/se.2024.3.098-127 (In Russian) |
References | 1. Abramov A.V., Gluschenko K.P. The Matrix of the Shortest Distances between Capital Cities of Russian Regions. Novosibirsk, 2000. Available at: 2. Alama-Sabater L., Marquez-Ramos L., Navarro-Azorin J., Suarez-Burguet C. A Two-Methodology Comparison Study of a Spatial Gravity Model in the Context of Interregional Trade Flows. Applied Economics, 2015, vol. 47, issue 14, pp. 1481–1493. 3. Anderson J. A Theoretical Foundation for the Gravity Equation. The American Economic Review, 1979, vol. 69, no. 1, pp. 106–116. 4. Anderson J., van Wincoop E. Gravity with Gravitas: A Solution to the Border Puzzle. The American Economic Review, 2003, vol. 93, no. 1, pp. 170–192. 5. Anderson J., van Wincoop E. Trade Costs. Journal of Economic Literature, 2004, vol. 42, no. 3, pp. 691–751. 6. Anderson J., Vesselovsky M., Yotov Y. Gravity with Scale Effects. Journal of International Economics, 2016, vol. 100, pp. 174–193. 7. Barro R., Tenreyro S. Economic Effects of Currency Unions. Economic Inquiry, 2007, vol. 45, issue 1, pp. 1–23. 8. Cai M. A Calibrated Gravity Model of Interregional Trade. Spatial Economic Analysis, 2023, vol. 18, issue 1, pp. 89–107. 9. Deardorff A. Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World? The Regionalization of the World Economy. Chicago: University of Chicago Press, 1998, pp. 7–32. 10. Durlauf S., Quah D. The New Empirics of Economic Growth. Handbook of Macroeconomics, 1999, vol. 1, pp. 235–308. 11. Eaton J., Kortum S. Technology, Geography, and Trade. Econometrica, 2002, vol. 70, issue 5, pp. 1741–1779. 12. Eaton J., Kortum S., Kramarz F. An Anatomy of International Trade: Evidence from French Firms. Econometrica, 2011, vol. 79, issue 5, pp. 1453–1498. 13. Egger P., Lassmann A. The Language Effect in International Trade: A Meta-Analysis. Economics Letters, 2012, vol. 116, issue 2, pp. 221–224. 14. Feenstra R., Markusen J., Rose A. Using the Gravity Equation to Differentiate Among Alternative Theories of Trade. Canadian Journal of Economics, 2001, vol. 34, issue 2, pp. 430–447. 15. Filatov A., Novikova A. The Gravity Model of Interregional Trade: Case of Eastern Siberia. Czech Journal of Social Sciences, Business and Economics, 2015, vol. 4, issue 3, pp. 39–46. 16. Frankel J., Romer D. Does Trade Cause Growth? The American Economic Review, 1999, vol. 89, no. 3, pp. 379–399. 17. Fujita M., Krugman P. The New Economic Geography: Past, Present and the Future. Papers in Regional Science, 2004, vol. 83, issue 1, pp. 139–164. 18. Fujita M., Krugman P., Venables A. The Spatial Economy: Cities, Regions, and International Trade. Cambridge: The MIT Press, 2001, 382 p. 19. Galimov D.I., Gnidchenko A.A., Salnikov V.A. Estimating the Distances between Russian Regions with an Account for Transport Infrastructure. Prostranstvennaya Ekonomika = Spatial Economics, 2024, vol. 20, no. 1, pp. 96–124. https://dx.doi.org/10.14530/se.2024.1.096-124 (In Russian). 20. Gomez-Herrera E. Comparing Alternative Methods to Estimate Gravity Models of Bilateral Trade. Empirical Economics, 2013, vol. 44, pp. 1087–1111. 21. Head K., Mayer T. Gravity Equations: Workhorse, Toolkit, and Cookbook. Handbook of International Economics, 2014, vol. 4, pp. 131–195. 22. Helpman E., Krugman P. Market Structure and Foreign Trade: Increasing Returns, Imperfect Competition, and the International Economy. Cambridge: The MIT Press, 1985, 284 p. 23. Helpman E., Melitz M., Rubinstein Y. Estimating Trade Flows: Trading Partners and Trading Volumes. The Quarterly Journal of Economics, 2008, vol. 123, issue 2, pp. 441–487. 24. Isard W. Interregional and Regional Input-Output Analysis: A Model of a Space-Economy. The Review of Economics and Statistics, 1951, vol. 33, no. 4, pp. 318–328. 25. Izotov D.A. Assessment of Trade Intensity of the Russian Far East: Structural Approach. Zhurnal Novoy Ekonomicheskoy Assotsiatsii = Journal of the New Economic Association, 2021, no. 4, pp. 143–161. 26. Izotov D.A. Economic Growth and the Trade of Russian Regions. Prostranstvennaya Ekonomika = Spatial Economics, 2018, vol. 14, no. 4, pp. 92–114. 27. Kaukin A., Idrisov G. The Gravity Model of Russian Foreign Trade: Case of a Country with Large Area and Long Border. Ekonomicheskaya Politika = Economic Policy, 2013, no. 4, pp. 133–154. (In Russian). 28. Krugman P. Development, Geography, and Economic Theory. Cambridge: The MIT Press, 1997, 128. 29. Krugman P. Increasing Returns, Monopolistic Competition, and International Trade. Journal of International Economics, 1979, vol. 9, issue 4, pp. 469–479. 30. Krugman P. Scale Economies, Product Differentiation, and the Pattern of Trade. The American Economic Revie, 1980, vol. 70, issue 5, pp. 950–959. 31. Larch M., Yotov Y. Estimating the Effects of Trade Agreements: Lessons From 60 Years of Methods and Data. The World Economy, 2024, vol. 47, issue 5, pp. 1771–1799. 32. Leontief W., Strout A. Multiregional Input-Output Analysis. Structural Interdependence and Economic Development. Edited by T. Barna. London: Palgrave Macmillan, 1963, pp. 119–150. 33. Limao N., Venables A. Infrastructure, Geographical Disadvantage, Transport Costs, and Trade. The World Bank Economic Review, 2001, vol. 15, issue 3, pp. 451–479. 34. Lipin A.S., Polyakova O.V. Assessment of Integration Processes in the Common Economic Space on the Example of Trade in Goods. Evraziyskaya Ekonomicheskaya Integratsiya [Eurasian Economic Integration], 2014, no. 1 (22), pp. 80–96. (In Russian). 35. McCallum J. National Borders Matter: Canada-US Regional Trade Patterns. The American Economic Review, 1995, vol. 85, issue 3, pp. 615–623. 36. Melitz M. The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity. Econometrica, 2003, vol. 71, issue 6, pp. 1695–1725. 37. Mishura A.V. The Estimation of Gravity Models of Russian Interregional Trade in Monopolistically Competitive Goods. Mir Ekonomiki i Upravleniya = World of Economics and Management, 2012, vol. 12, no. 4, pp. 52–58. (In Russian). 38. Ohlin B. Interregional and International Trade. Cambridge: Harvard University Press, 1968, 324 p. 39. Rose A. Do We Really Know That the WTO Increases Trade? The American Economic Review, 2004, vol. 94, no. 1, pp. 98–114. 40. Rose A. One Money, One Market: The Effect of Common Currencies on Trade. Economic Policy, 2000, vol. 15, issue 30, pp. 8–45. 41. Salnikov C.N., Filatov A.Yu. Russian Regional Matrix of Distances: Use in Economic Analysis. Izvestiya Dalnevostochnogo Federalnogo Universiteta. Ekonomika i Upravlenie = The Bulletin of the Far Eastern Federal University. Economics and Management, 2023, no. 3 (107), pp. 67–81. 42. Samuelson P. International Trade and the Equalization of Factor Prices. The Economic Journal, 1948, vol. 58, issue 230, pp. 163–184. 43. Shumilov A.V. Estimating Gravity Models of International Trade: A Survey of Methods. Ekonomicheskiy Zhurnal Vysshey Shkoly Ekonomiki = Higher School of Economics Economic Journal, 2017, vol. 21, no. 2, pp. 224–250. (In Russian). 44. Singh T. Does International Trade Cause Economic Growth? A Survey. The World Economy, 2010, vol. 33, issue 11, pp. 1517–1564. 45. Tinbergen J. Shaping the World Economy. Suggestions for an International Economic Policy. New York: Twentieth Century Fund, 1962, 330 p. 46. Tomaev A.O., Kaukin A.S., Pavlov P.N. Russian Domestic Trade: Applying the Gravity Model for Rail Cargo Flows. Ekonomicheskaya Politika = Economic Policy, 2020, vol. 15, no. 5, pp. 60–89. 47. Wolf H. Intranational Home Bias in Trade. Review of Economics and Statistics, 2000, vol. 82, issue 4, pp. 555–563. |
Financing | This work was supported by the Ministry of Science and Higher Education of the Russian Federation, project No. FZNS-2023-0016 ‘Sustainable development of the region: effective economic mechanisms of market organization and entrepreneurial competencies of the population in conditions of uncertainty (the balance between security and risk)’ |
Submitted | 17.06.2024 |
Approved after reviewing | 26.07.2024 |
Accepted for publication | 19.09.2024 |
Available online | 04.10.2024 |