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Gravity Equations: Workhorse,Toolkit, and Cookbook

  • Keith Head
  • Thierry Mayer

This chapter focuses on the estimation and interpretation of gravity equations for bilateral trade. This necessarily involves a careful consideration of the theoretical underpinnings since it has become clear that naive approaches to estimation lead to biased and frequently misinterpreted results. There are now several theory-consistent estimation methods and we argue against sole reliance on any one method and instead advocate a toolkit approach. One estimator may be preferred for certain types of data or research questions but more often the methods should be used in concert to establish robustness. In recent years, estimation has become just a first step before a deeper analysis of the implications of the results, notably in terms of welfare. We try to facilitate diffusion of best-practice methods by illustrating their application in a step-by-step cookbook mode of exposition.

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Paper provided by CEPII research center in its series Working Papers with number 2013-27.

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Date of creation: Sep 2013
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Handle: RePEc:cii:cepidt:2013-27
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  1. Lawless, Martina, 2008. "Deconstructing Gravity: Trade Costs and Extensive and Intensive Margins," Research Technical Papers 5/RT/08, Central Bank of Ireland.
  2. John M. Abowd & Francis Kramarz & David N. Margolis, 1994. "High Wage Workers and High Wage Firms," NBER Working Papers 4917, National Bureau of Economic Research, Inc.
  3. Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2014. "The Economics of Density: Evidence from the Berlin Wall," NBER Working Papers 20354, National Bureau of Economic Research, Inc.
  4. Michael Baker & Nicole M. Fortin, 2000. "Occupational Gender Composition and Wages in Canada: 1987-1988," CIRANO Working Papers 2000s-48, CIRANO.
  5. James E. Anderson & Yoto V. Yotov, 2012. "Gold Standard Gravity," Boston College Working Papers in Economics 795, Boston College Department of Economics.
  6. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
  7. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-23, June.
  8. Krugman, Paul R., 1979. "Increasing returns, monopolistic competition, and international trade," Journal of International Economics, Elsevier, vol. 9(4), pages 469-479, November.
  9. Matthieu Crozet & Pamina Koenig, 2010. "Structural gravity equations with intensive and extensive margins," Canadian Journal of Economics, Canadian Economics Association, vol. 43(1), pages 41-62, February.
  10. James E. Anderson & Yoto V. Yotov, 2010. "Specialization: Pro- and Anti-globalizing, 1990-2002," NBER Working Papers 16301, National Bureau of Economic Research, Inc.
  11. Andrew Bernard & Stephen Redding & Peter Schott, 2009. "Multi-Product Firms and Trade Liberalization," Working Papers 09-21, Center for Economic Studies, U.S. Census Bureau.
  12. James E. Anderson & Eric van Wincoop, 2001. "Gravity with Gravitas: A Solution to the Border Puzzle," NBER Working Papers 8079, National Bureau of Economic Research, Inc.
  13. Combes, Pierre-Philippe & Lafourcade, Miren & Mayer, Thierry, 2005. "The trade-creating effects of business and social networks: evidence from France," Journal of International Economics, Elsevier, vol. 66(1), pages 1-29, May.
  14. Christian Broda & David E. Weinstein, 2004. "Globalization and the Gains from Variety," NBER Working Papers 10314, National Bureau of Economic Research, Inc.
  15. James E. Anderson & Douglas Marcouiller, 2002. "Insecurity And The Pattern Of Trade: An Empirical Investigation," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 342-352, May.
  16. Hanson, G.H., 1999. "`Market Potential, Increasing Returns, and Geographic Concentration," Working Papers 439, Research Seminar in International Economics, University of Michigan.
  17. Feenstra, Robert & Luck, Philip & Obstfeld, Maurice & Russ, Katheryn N., 2014. "In Search of the Armington Elasticity," CEPR Discussion Papers 9951, C.E.P.R. Discussion Papers.
  18. Baldwin, Richard & Harrigan, James, 2007. "Zeros, Quality and Space: Trade Theory and Trade Evidence," CEPR Discussion Papers 6368, C.E.P.R. Discussion Papers.
  19. Coeurdacier, Nicolas & Martin, Philippe, 2007. "The geography of asset trade and the euro: insiders and outsiders," CEPREMAP Working Papers (Docweb) 0701, CEPREMAP.
  20. Clément Bosquet & Hervé Boulhol, 2014. "Applying the GLM Variance Assumption to Overcome the Scale-Dependence of the Negative Binomial QGPML Estimator," Econometric Reviews, Taylor & Francis Journals, vol. 33(7), pages 772-784, October.
  21. Robert Dekle & Jonathan Eaton & Samuel Kortum, 2008. "Global Rebalancing with Gravity: Measuring the Burden of Adjustment," IMF Staff Papers, Palgrave Macmillan, vol. 55(3), pages 511-540, July.
  22. J.M.C. Santos Silva & Silvana Tenreyro, 2010. "Currency Unions in Prospect and Retrospect," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 51-74, 09.
  23. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-21, September.
  24. Chen, Hogan & Kondratowicz, Matthew & Yi, Kei-Mu, 2005. "Vertical specialization and three facts about U.S. international trade," The North American Journal of Economics and Finance, Elsevier, vol. 16(1), pages 35-59, March.
  25. Jon Haveman & David Hummels, 2004. "Alternative hypotheses and the volume of trade: the gravity equation and the extent of specialization," Canadian Journal of Economics, Canadian Economics Association, vol. 37(1), pages 199-218, February.
  26. Reuven Glick & Alan M. Taylor, 2010. "Collateral Damage: Trade Disruption and the Economic Impact of War," The Review of Economics and Statistics, MIT Press, vol. 92(1), pages 102-127, February.
  27. Eaton, Jonathan & Kortum, Sam & Neiman, Brent & Romalis, John, 2013. "Trade and the Global Recession," Working Papers 2013-21, University of Sydney, School of Economics.
  28. 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, pages 1305-1348, November.
  29. De Sousa, Jose & Mayer, Thierry & Zignago, Soledad, 2011. "Market access in global and regional trade," MPRA Paper 35602, University Library of Munich, Germany.
  30. Jonathan Eaton & Samuel Kortum, 2004. "Trade in Capital Goods," Levine's Working Paper Archive 228400000000000019, David K. Levine.
  31. Peter Egger & Mario Larch & Kevin E. Staub & Rainer Winkelmann, 2011. "The Trade Effects of Endogenous Preferential Trade Agreements," American Economic Journal: Economic Policy, American Economic Association, vol. 3(3), pages 113-43, August.
  32. Keith Head & Thierry Mayer & John Ries, 2011. "The erosion of colonial trade linkages after independence," Sciences Po publications info:hdl:2441/c8dmi8nm4pd, Sciences Po.
  33. Jonathan Eaton & Robert Dekle & Samuel Kortum, 2007. "Unbalanced Trade," American Economic Review, American Economic Association, vol. 97(2), pages 351-355, May.
  34. Anne-Célia Disdier & Keith Head, 2004. "The Puzzling Persistence of the Distance Effect on Bilateral Trade," Development Working Papers 186, Centro Studi Luca d\'Agliano, University of Milano.
  35. Arnaud Costinot & Dave Donaldson & Ivana Komunjer, 2010. "What Goods Do Countries Trade? A Quantitative Exploration of Ricardo's Ideas," NBER Working Papers 16262, National Bureau of Economic Research, Inc.
  36. Jean Imbs & Isabelle Mˆmjean, 2008. "Elasticity Optimism," Working Papers 242008, Hong Kong Institute for Monetary Research.
  37. Keith Head & Thierry Mayer, 2004. "Non-Europe : the magnitude and causes of market fragmentation in the EU," Cahiers de la Maison des Sciences Economiques bla99004a, Université Panthéon-Sorbonne (Paris 1).
  38. 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.
  39. Keith Head & Thierry Mayer & John Ries, 2008. "How Remote is the Offshoring Threat ?," Sciences Po publications info:hdl:2441/10143, Sciences Po.
  40. David S. Jacks & Christopher M. Meissner & Dennis Novy, 2008. "Trade Costs, 1870-2000," American Economic Review, American Economic Association, vol. 98(2), pages 529-34, May.
  41. Novy, Dennis, 2012. "International Trade without CES: Estimating Translog Gravity," CEPR Discussion Papers 9125, C.E.P.R. Discussion Papers.
  42. Stephen Redding & Anthony J. Venables, 2001. "Economic geography and international inequality," LSE Research Online Documents on Economics 3714, London School of Economics and Political Science, LSE Library.
  43. Baier, Scott L. & Bergstrand, Jeffrey H., 2007. "Do free trade agreements actually increase members' international trade?," Journal of International Economics, Elsevier, vol. 71(1), pages 72-95, March.
  44. Jeffrey A. Frankel, 1997. "Regional Trading Blocs in the World Economic System," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 72, May.
  45. Russell Hillberry & David Hummels, 2005. "Trade Responses to Geographic Frictions: A Decomposition Using Micro-Data," NBER Working Papers 11339, National Bureau of Economic Research, Inc.
  46. Martin, Philippe & Rey, Helene, 2004. "Financial super-markets: size matters for asset trade," Journal of International Economics, Elsevier, vol. 64(2), pages 335-361, December.
  47. Feenstra, Robert C, 1994. "New Product Varieties and the Measurement of International Prices," American Economic Review, American Economic Association, vol. 84(1), pages 157-77, March.
  48. Bricongne, Jean-Charles & Fontagné, Lionel & Gaulier, Guillaume & Taglioni, Daria & Vicard, Vincent, 2010. "Firms and the global crisis: French exports in the turmoil," Working Paper Series 1245, European Central Bank.
  49. Egger, Peter & Larch, Mario, 2011. "An assessment of the Europe agreements' effects on bilateral trade, GDP, and welfare," European Economic Review, Elsevier, vol. 55(2), pages 263-279, February.
  50. Rose, Andrew K, 2002. "Do We Really Know that the WTO Increases Trade?," CEPR Discussion Papers 3538, C.E.P.R. Discussion Papers.
  51. Hallak, Juan Carlos, 2006. "Product quality and the direction of trade," Journal of International Economics, Elsevier, vol. 68(1), pages 238-265, January.
  52. Keith Head & John Ries, 2001. "Increasing Returns versus National Product Differentiation as an Explanation for the Pattern of U.S.-Canada Trade," American Economic Review, American Economic Association, vol. 91(4), pages 858-876, September.
  53. Andrew B Bernard & Jonathan Eaton & J. Bradford Jensen & Samuel Kortum, 2000. "Plants and productivity in international trade," Working Papers 00-08, Center for Economic Studies, U.S. Census Bureau.
  54. James E. Anderson & Yoto V. Yotov, 2010. "The Changing Incidence of Geography," American Economic Review, American Economic Association, vol. 100(5), pages 2157-86, December.
  55. Robert C. Feenstra & James R. Markusen & Andrew K. Rose, 2001. "Using the gravity equation to differentiate among alternative theories of trade," Canadian Journal of Economics, Canadian Economics Association, vol. 34(2), pages 430-447, May.
  56. OTTAVIANO, Gianmarco & THISSE, Jacques-François, 1999. "Agglomeration and trade revisited," CORE Discussion Papers 1999041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  57. Ottaviano, Gianmarco & Melitz, Marc, 2008. "Market Size, Trade, and Productivity," Scholarly Articles 3229096, Harvard University Department of Economics.
  58. repec:spo:wpecon:info:hdl:2441/c8dmi8nm4pdjkuc9g7287gghh is not listed on IDEAS
  59. repec:spo:wpmain:info:hdl:2441/c8dmi8nm4pdjkuc9g7287gghh is not listed on IDEAS
  60. Cipollina, Maria & Salvatici, Luca, 2007. "Reciprocal trade agreements in gravity models: a meta-analysis," Economics & Statistics Discussion Papers esdp07035, University of Molise, Dept. EGSeI.
  61. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-16, March.
  62. Richard Portes & Helene Rey, 2000. "The determinants of cross-border equity flows," LSE Research Online Documents on Economics 20203, London School of Economics and Political Science, LSE Library.
  63. Jonathan Eaton & Akiko Tamura, 1995. "Bilateralism and Regionalism in Japanese and U.S. Trade and Direct Foreign Investment Patterns," NBER Working Papers 4758, National Bureau of Economic Research, Inc.
  64. Fajgelbaum, Pablo & Grossman, Gene M. & Helpman, Elhanan, 2011. "Income distribution, product quality, and international trade," Policy Research Working Paper Series 5843, The World Bank.
  65. Jonathan Eaton & Samuel Kortum & Francis Kramarz, 2011. "An Anatomy of International Trade: Evidence From French Firms," Econometrica, Econometric Society, vol. 79(5), pages 1453-1498, 09.
  66. Bergstrand, Jeffrey H. & Egger, Peter & Larch, Mario, 2013. "Gravity Redux: Estimation of gravity-equation coefficients, elasticities of substitution, and general equilibrium comparative statics under asymmetric bilateral trade costs," Journal of International Economics, Elsevier, vol. 89(1), pages 110-121.
  67. Baldwin, Richard, 2007. "Trade Effects of the Euro: a Comparison of Estimators," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 22, pages 780-818.
  68. Martin, Philippe & Mayer, Thierry & Thoenig, Mathias, 2005. "Make trade not war ?," CEPREMAP Working Papers (Docweb) 0515, CEPREMAP.
  69. Trefler, Daniel, 1995. "The Case of the Missing Trade and Other Mysteries," American Economic Review, American Economic Association, vol. 85(5), pages 1029-46, December.
  70. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
  71. Pablo D. Fajgelbaum, 2011. "Income Distribution, Product Quality and International Trade," 2011 Meeting Papers 415, Society for Economic Dynamics.
  72. Paul Krugman, 1997. "Development, Geography, and Economic Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 026261135x, June.
  73. Baier, Scott L. & Bergstrand, Jeffrey H., 2009. "Bonus vetus OLS: A simple method for approximating international trade-cost effects using the gravity equation," Journal of International Economics, Elsevier, vol. 77(1), pages 77-85, February.
  74. Crozet, Matthieu & Head, Keith & Mayer, Thierry, 2009. "Quality sorting and trade: Firm-level evidence for French wine," CEPR Discussion Papers 7295, C.E.P.R. Discussion Papers.
  75. Ali Hortaçsu & F. Asís Martínez-Jerez & Jason Douglas, 2009. "The Geography of Trade in Online Transactions: Evidence from eBay and MercadoLibre," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 53-74, February.
  76. Helene Erkel-Rousse & Daniel Mirza, 2000. "Import Price-Elastcities: Reconsidering the Evidence," Econometric Society World Congress 2000 Contributed Papers 0909, Econometric Society.
  77. Antoine Berthou & Lionel Fontagné, 2013. "How do Multiproduct Exporters React to a Change in Trade Costs?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(2), pages 326-353, 04.
  78. 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 474-81, August.
  79. Head, Keith & Ries, John, 2008. "FDI as an outcome of the market for corporate control: Theory and evidence," Journal of International Economics, Elsevier, vol. 74(1), pages 2-20, January.
  80. Yohei Okawa & Eric van Wincoop, 2010. "Gravity in International Finance," Working Papers 072010, Hong Kong Institute for Monetary Research.
  81. Arnaud Costinot & Andres Rodriguez-Clare & Costas Arkolakis, 2010. "New Trade Models, Same Old Gains?," 2010 Meeting Papers 433, Society for Economic Dynamics.
  82. Lorenzo Caliendo & Fernando Parro, 2012. "Estimates of the Trade and Welfare Effects of NAFTA," NBER Working Papers 18508, National Bureau of Economic Research, Inc.
  83. Harrigan, James, 1996. "Openness to trade in manufactures in the OECD," Journal of International Economics, Elsevier, vol. 40(1-2), pages 23-39, February.
  84. José de Sousa & Julie Lochard, 2011. "Does the Single Currency Affect Foreign Direct Investment?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 113(3), pages 553-578, 09.
  85. John Romalis, 2007. "NAFTA's and CUSFTA's Impact on International Trade," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 416-435, August.
  86. Chen, Natalie & Novy, Dennis, 2011. "Gravity, trade integration, and heterogeneity across industries," Journal of International Economics, Elsevier, vol. 85(2), pages 206-221.
  87. Feenstra, Robert C., 2003. "A homothetic utility function for monopolistic competition models, without constant price elasticity," Economics Letters, Elsevier, vol. 78(1), pages 79-86, January.
  88. 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.
  89. Guimaraes, Paulo & Portugal, Pedro, 2009. "A Simple Feasible Alternative Procedure to Estimate Models with High-Dimensional Fixed Effects," IZA Discussion Papers 3935, Institute for the Study of Labor (IZA).
  90. Keith Head & Thierry Mayer, 2004. "Market Potential and the Location of Japanese Investment in the European Union," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 959-972, November.
  91. Andrew K. Rose, 2000. "One money, one market: the effect of common currencies on trade," Economic Policy, CEPR;CES;MSH, vol. 15(30), pages 7-46, 04.
  92. Huiwen Lai & Daniel Trefler, 2002. "The Gains from Trade with Monopolistic Competition: Specification, Estimation, and Mis-Specification," NBER Working Papers 9169, National Bureau of Economic Research, Inc.
  93. Jonathan Eaton & Samuel Kortum & Francis Kramarz, 2004. "Dissecting Trade: Firms, Industries, and Export Destinations," NBER Working Papers 10344, National Bureau of Economic Research, Inc.
  94. Baldwin, Richard E., 2006. "The euro’s trade effects," Working Paper Series 0594, European Central Bank.
  95. Jonathan Eaton & Samuel S. Kortum & Sebastian Sotelo, 2012. "International Trade: Linking Micro and Macro," NBER Working Papers 17864, National Bureau of Economic Research, Inc.
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