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A SUR-EC-AR System Gravity Model of Trade


  • Jaya Krishnakumar

    () (University of Geneva)


This paper proposes a system of equations for modelling the volume of bilateral trade in multiple goods for a given set of countries. We postulate a gravity equation for each traded good rather than for the aggregate volume of bilateral trade. Special features of the system are the possibility of correlated explanatory variables, presence of panel data effects and autocorrelated disturbances. The correlated explanatory variables could be either correlated with the specific effects only or correlated with both the specific effects and the residual errors. Proper ways of specifying and estimating a model incorporating all the above characteristics are discussed and tests are suggested to verify some of the assumptions.

Suggested Citation

  • Jaya Krishnakumar, 2002. "A SUR-EC-AR System Gravity Model of Trade," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B4-4, International Conferences on Panel Data.
  • Handle: RePEc:cpd:pd2002:b4-4

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    References listed on IDEAS

    1. Leamer, Edward E. & Levinsohn, James, 1995. "International trade theory: The evidence," Handbook of International Economics,in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 26, pages 1339-1394 Elsevier.
    2. Elhanan Helpman & Paul Krugman, 1987. "Market Structure and Foreign Trade: Increasing Returns, Imperfect Competition, and the International Economy," MIT Press Books, The MIT Press, edition 1, volume 1, number 026258087x, July.
    3. Cornwell, Christopher & Schmidt, Peter & Wyhowski, Donald, 1992. "Simultaneous equations and panel data," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 151-181.
    4. Bergstrand, Jeffrey H, 1985. "The Gravity Equation in International Trade: Some Microeconomic Foundations and Empirical Evidence," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 474-481, August.
    5. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    6. Laszlo Matyas, 1997. "Proper Econometric Specification of the Gravity Model," The World Economy, Wiley Blackwell, vol. 20(3), pages 363-368, May.
    7. Baltagi, Badi H, 1980. "On Seemingly Unrelated Regressions with Error Components," Econometrica, Econometric Society, vol. 48(6), pages 1547-1551, September.
    8. Hamilton, C.B. & Winters, L.A., 1992. "Opening Up International Trade in Eastern Europe," Papers 511, Stockholm - International Economic Studies.
    9. Alan Deardorff, 1998. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," NBER Chapters,in: The Regionalization of the World Economy, pages 7-32 National Bureau of Economic Research, Inc.
    10. Baltagi, Badi H. & Li, Qi, 1995. "Testing AR(1) against MA(1) disturbances in an error component model," Journal of Econometrics, Elsevier, vol. 68(1), pages 133-151, July.
    11. Bergstrand, Jeffrey H, 1989. "The Generalized Gravity Equation, Monopolistic Competition, and the Factor-Proportions Theory in International Trade," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 143-153, February.
    12. Fritz Breuss & Peter Egger, 1999. "How Reliable Are Estimations of East-West Trade Potentials Based on Cross-Section Gravity Analyses?," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 26(2), pages 81-94, June.
    13. Helpman, Elhanan, 1987. "Imperfect competition and international trade: Evidence from fourteen industrial countries," Journal of the Japanese and International Economies, Elsevier, vol. 1(1), pages 62-81, March.
    14. Baltagi, Badi H., 1981. "Simultaneous equations with error components," Journal of Econometrics, Elsevier, vol. 17(2), pages 189-200, November.
    15. Baltagi, Badi H. & Li, Qi, 1991. "A transformation that will circumvent the problem of autocorrelation in an error-component model," Journal of Econometrics, Elsevier, vol. 48(3), pages 385-393, June.
    16. Egger, Peter, 2000. "A note on the proper econometric specification of the gravity equation," Economics Letters, Elsevier, vol. 66(1), pages 25-31, January.
    17. Gros, Daniel & Gonciarz, Andrzej, 1996. "A note on the trade potential of Central and Eastern Europe," European Journal of Political Economy, Elsevier, vol. 12(4), pages 709-721, December.
    18. Peter Egger & Michael Pfaffermayr, 2003. "The proper panel econometric specification of the gravity equation: A three-way model with bilateral interaction effects," Empirical Economics, Springer, vol. 28(3), pages 571-580, July.
    19. Deardoff, A.V., 1995. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," Working Papers 382, Research Seminar in International Economics, University of Michigan.
    20. repec:fth:michin:382 is not listed on IDEAS
    21. Peter Egger, 2002. "An Econometric View on the Estimation of Gravity Models and the Calculation of Trade Potentials," The World Economy, Wiley Blackwell, vol. 25(2), pages 297-312, February.
    22. Wang, Zhen Kun & Winters, L. Alan, 1991. "The Trading Potential of Eastern Europe," CEPR Discussion Papers 610, C.E.P.R. Discussion Papers.
    23. Baltagi, Badi H. & Wu, Ping X., 1999. "Unequally Spaced Panel Data Regressions With Ar(1) Disturbances," Econometric Theory, Cambridge University Press, vol. 15(06), pages 814-823, December.
    24. Balestra, Pietro & Varadharajan-Krishnakumar, Jayalakshmi, 1987. "Full Information Estimations of a System of Simultaneous Equations with Error Component Structure," Econometric Theory, Cambridge University Press, vol. 3(02), pages 223-246, April.
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    Cited by:

    1. Erika Vianna Grossrieder, 2006. "Preference Erosion: The case of Bangladesh - A SUR-EC-AR Gravity Model of Trade," IHEID Working Papers 18-2007, Economics Section, The Graduate Institute of International Studies, revised Aug 2007.

    More about this item


    bilateral trade; gravity model; panel data models; instrumental variables; autocorrelated errors;

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • F1 - International Economics - - Trade

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