IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00250297.html
   My bibliography  Save this paper

Dual gravity: Using Spatial econometrics to control for multilateral resistance

Author

Listed:
  • K. Behrens
  • Cem Ertur

    (LEO - Laboratoire d'économie d'Orleans [2008-2011] - UO - Université d'Orléans - CNRS - Centre National de la Recherche Scientifique)

  • W. Koch

Abstract

We propose a quantity-based "dual" version of the gravity equation that yields an estimating equation with both cross-sectional interdependence and spatially lagged error terms. Such an equation can be concisely estimated using spatial econometric techniques. We illustrate this methodology by applying it to the Canada-U.S. data set used previously, among others, by Anderson and van Wincoop (2003) and Feenstra (2002, 2004). Our key result is to show that controlling directly for spatial interdependence across trade flows, as suggested by theory, significantly reduces border effects because it captures "multilateral resistance". Using a spatial autoregressive moving average specification, we find that border effects between the U.S. and Canada are smaller than in previous studies : about 8 for Canadian provinces and about 1.3 for U.S. states. Yet, heterogeneous coefficient estimations reveal that there is much variation across provinces and states.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • K. Behrens & Cem Ertur & W. Koch, 2007. "Dual gravity: Using Spatial econometrics to control for multilateral resistance," Post-Print halshs-00250297, HAL.
  • Handle: RePEc:hal:journl:halshs-00250297
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gabriel J Felbermayr & Wilhelm Kohler, 2014. "Exploring the Intensive and Extensive Margins of World Trade," World Scientific Book Chapters, in: European Economic Integration, WTO Membership, Immigration and Offshoring, chapter 4, pages 115-148, World Scientific Publishing Co. Pte. Ltd..
    2. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.
    3. Bruce A. Blonigen & Ronald B. Davies & Glen R. Waddell & Helen T. Naughton, 2019. "FDI in Space: Spatial Autoregressive Relationships in Foreign Direct Investment," World Scientific Book Chapters, in: Foreign Direct Investment, chapter 2, pages 55-88, World Scientific Publishing Co. Pte. Ltd..
    4. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    5. Thierry Mayer & Keith Head, 2002. "Illusory Border Effects: Distance Mismeasurement Inflates Estimates of Home Bias in Trade," Working Papers 2002-01, CEPII research center.
    6. Moreno, Ramon & Trehan, Bharat, 1997. "Location and the Growth of Nations," Journal of Economic Growth, Springer, vol. 2(4), pages 399-418, December.
    7. 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.
    8. John F. Helliwell & Geneviève Verdier, 2001. "Measuring internal trade distances: a new method applied to estimate provincial border effects in Canada," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 34(4), pages 1024-1041, November.
    9. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
    10. Marc J. Melitz & Giancarlo I. P. Ottaviano, 2021. "Market Size, Trade, and Productivity," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 4, pages 87-108, World Scientific Publishing Co. Pte. Ltd..
    11. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-959, December.
    12. Redding, Stephen & Venables, Anthony J., 2004. "Economic geography and international inequality," Journal of International Economics, Elsevier, vol. 62(1), pages 53-82, January.
    13. Daniel J. Henderson & Daniel L. Millimet, 2008. "Is gravity linear?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(2), pages 137-172.
    14. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    15. Cem Ertur & Wilfried Koch, 2007. "Growth, technological interdependence and spatial externalities: theory and evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(6), pages 1033-1062.
    16. Takatoshi Tabuchi & Kristian Behrens & Andrea R. Lamorgese, 2004. "Testing the Home Market Effects in a Multi-country World: The Theory," Econometric Society 2004 Far Eastern Meetings 595, Econometric Society.
    17. Anne-Célia Disdier & Keith Head, 2008. "The Puzzling Persistence of the Distance Effect on Bilateral Trade," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 37-48, February.
    18. Robert C. Feenstra, 2002. "Border Effects and the Gravity Equation: Consistent Methods for Estimation," Scottish Journal of Political Economy, Scottish Economic Society, vol. 49(5), pages 491-506, November.
    19. Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2003. "A generalized design for bilateral trade flow models," Economics Letters, Elsevier, vol. 80(3), pages 391-397, September.
    20. James P. LeSage & R. Kelley Pace, 2008. "Spatial Econometric Modeling Of Origin‐Destination Flows," Journal of Regional Science, Wiley Blackwell, vol. 48(5), pages 941-967, December.
    21. J. M. C. Santos Silva & Silvana Tenreyro, 2006. "The Log of Gravity," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 641-658, November.
    22. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    23. Bruce A. Blonigen & Ronald B. Davies & Helen T. Naughton & Glen R. Waddell, 2005. "Spacey Parents: Spatial Autoregressive Patterns in Inbound FDI," NBER Working Papers 11466, National Bureau of Economic Research, Inc.
    24. BEHRENS, Kristian & LAMORGESE, Andrea R. & OTTAVIANO, Gianmarco I.P. & TABUCHI, Takatoshi, 2005. "Testing the ‘home market effect’ in a multi-country world," LIDAM Discussion Papers CORE 2005055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    25. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    26. Joris Pinkse & Margaret E. Slade & Craig Brett, 2002. "Spatial Price Competition: A Semiparametric Approach," Econometrica, Econometric Society, vol. 70(3), pages 1111-1153, May.
    27. repec:rus:hseeco:122439 is not listed on IDEAS
    28. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-623, June.
    29. Brueckner, Jan K., 1998. "Testing for Strategic Interaction Among Local Governments: The Case of Growth Controls," Journal of Urban Economics, Elsevier, vol. 44(3), pages 438-467, November.
    30. Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, vol. 72(6), pages 1899-1925, November.
    31. repec:lmu:muenar:20646 is not listed on IDEAS
    32. Michael Anderson & Stephen Smith, 1999. "Canadian Provinces in World Trade: Engagement and Detachment," Canadian Journal of Economics, Canadian Economics Association, vol. 32(1), pages 22-38, February.
    33. Case, Anne C. & Rosen, Harvey S. & Hines, James Jr., 1993. "Budget spillovers and fiscal policy interdependence : Evidence from the states," Journal of Public Economics, Elsevier, vol. 52(3), pages 285-307, October.
    34. Andrew K. Rose & Eric van Wincoop, 2001. "National Money as a Barrier to International Trade: The Real Case for Currency Union," American Economic Review, American Economic Association, vol. 91(2), pages 386-390, May.
    35. Baier, Scott L. & Bergstrand, Jeffrey H., 2001. "The growth of world trade: tariffs, transport costs, and income similarity," Journal of International Economics, Elsevier, vol. 53(1), pages 1-27, February.
    36. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kareem, Fatima Olanike & Martinez-Zarzoso, Inmaculada & Brümmer, Bernhard, 2016. "Fitting the Gravity Model when Zero Trade Flows are Frequent: a Comparison of Estimation Techniques using Africa's Trade Data," GlobalFood Discussion Papers 230588, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.
    2. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    3. Jacks, David S. & Meissner, Christopher M. & Novy, Dennis, 2011. "Trade booms, trade busts, and trade costs," Journal of International Economics, Elsevier, vol. 83(2), pages 185-201, March.
    4. Shumilov, Andrei, 2016. "Особенности Оценивания Гравитационных Моделей Международной Торговли [Estimating Gravity Models of International Trade: A Survey]," MPRA Paper 75371, University Library of Munich, Germany.
    5. Scott L. Baier & Amanda Kerr & Yoto V. Yotov, 2018. "Gravity, distance, and international trade," Chapters, in: Bruce A. Blonigen & Wesley W. Wilson (ed.), Handbook of International Trade and Transportation, chapter 2, pages 15-78, Edward Elgar Publishing.
    6. Kristian Behrens & Giordano Mion & Yasusada Murata & Jens Südekum, 2014. "Trade, Wages, And Productivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1305-1348, November.
    7. J.A. Bikker, 2009. "An extended gravity model with substitution applied to international trade," Working Papers 09-17, Utrecht School of Economics.
    8. Simone Juhasz Silva & Douglas Nelson, 2012. "Does Aid Cause Trade? Evidence from an Asymmetric Gravity Model," The World Economy, Wiley Blackwell, vol. 35(5), pages 545-577, May.
    9. Bergstrand, Jeffrey H. & Larch, Mario & Yotov, Yoto V., 2015. "Economic integration agreements, border effects, and distance elasticities in the gravity equation," European Economic Review, Elsevier, vol. 78(C), pages 307-327.
    10. Hayakawa, Kazunobu, 2013. "How serious is the omission of bilateral tariff rates in gravity?," Journal of the Japanese and International Economies, Elsevier, vol. 27(C), pages 81-94.
    11. Shawn Tan, 2012. "Structural Estimation of a Flexible Translog Gravity Model," Department of Economics - Working Papers Series 1164, The University of Melbourne.
    12. Dennis Novy, 2013. "Gravity Redux: Measuring International Trade Costs With Panel Data," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 101-121, January.
    13. Güzin Bayar, 2018. "Estimating export equations: a survey of the literature," Empirical Economics, Springer, vol. 54(2), pages 629-672, March.
    14. Estrella Gómez-Herrera, 2013. "Comparing alternative methods to estimate gravity models of bilateral trade," Empirical Economics, Springer, vol. 44(3), pages 1087-1111, June.
    15. (ed.), 0. "Research Handbook on Economic Diplomacy," Books, Edward Elgar Publishing, number 16053.
    16. Peter Egger & Douglas Nelson, 2011. "How Bad Is Antidumping? Evidence from Panel Data," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1374-1390, November.
    17. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    18. Cipollina, Maria & Salvatici, Luca, 2007. "EU and developing countries: an analysis of preferential margins on agricultural trade flows," Working Papers 7219, TRADEAG - Agricultural Trade Agreements.
    19. Anderson, James E. & Yotov, Yoto V., 2020. "Short run gravity," Journal of International Economics, Elsevier, vol. 126(C).
    20. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.

    More about this item

    Keywords

    Dual; gravity; Using; spatial; econometrics; control; multilateral; resistance;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:halshs-00250297. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.