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Estimating Gravity Equations: To Log or Not to Log?

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  • Boriss Siliverstovs
  • Dieter Schumacher

Abstract

This study compares two alternative approaches to estimate parameters in gravity equations. We compare the traditional OLS approach applied to the log-linear form of the gravity model with the Poisson Quasi Maximum Likelihood (PQML) estimation procedure applied to the non-linear multiplicative specification of the gravity model. We use the trade flows for all products, for all manufacturing products as well as for manufacturing products broken down by three-digit ISIC Rev.2 categories. We base our conclusions on the generalised gravity model of Bergstrand (1989) that allows us to investigate differences in factor-proportions and home-market effects at the industry level. In addition, we compare the effects of other explanatory variables such as exporter and importer total income, distance, preferential trade agreements, common border, historical ties, and common language on the volume of trade. Our study provides comprehensive evidence on likely qualitative and/or quantitative differences in the values of estimated coefficients as a result of application of an alternative estimation method. Our main conclusion is that both estimation results as well as results of the regression misspecification tests provide supporting evidence for the PQML estimation approach over the OLS estimation method.

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File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.74342.de/dp739.pdf
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Bibliographic Info

Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 739.

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Length: 38 p.
Date of creation: 2007
Date of revision:
Publication status: Published in: Empirical Economics (2009), 3, 645-669
Handle: RePEc:diw:diwwpp:dp739

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Keywords: generalised gravity equation; Poisson regression;

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References

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  1. 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.
  2. 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.
  3. Willard G. Manning & John Mullahy, 1999. "Estimating Log Models: To Transform or Not to Transform?," NBER Technical Working Papers 0246, National Bureau of Economic Research, Inc.
  4. Santos Silva, Joao & Tenreyro, Silvana, 2005. "The Log of Gravity," CEPR Discussion Papers 5311, C.E.P.R. Discussion Papers.
  5. André Sapir, 1981. "Trade benefits under the EEC generalized system of preferences," ULB Institutional Repository 2013/8290, ULB -- Universite Libre de Bruxelles.
  6. Geraci, Vincent J & Prewo, Wilfried, 1977. "Bilateral Trade Flows and Transport Costs," The Review of Economics and Statistics, MIT Press, vol. 59(1), pages 67-74, February.
  7. Deardorff, Alan V, 1982. "The General Validity of the Heckscher-Ohlin Theorem," American Economic Review, American Economic Association, vol. 72(4), pages 683-94, September.
  8. 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 143-53, February.
  9. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Boston College Working Papers in Economics 593, Boston College Department of Economics.
  10. Aitken, Norman D, 1973. "The Effect of the EEC and EFTA on European Trade: A Temporal Cross-Section Analysis," American Economic Review, American Economic Association, vol. 63(5), pages 881-92, December.
  11. Simon Peters, 2000. "On the use of the RESET test in microeconometric models," Applied Economics Letters, Taylor & Francis Journals, vol. 7(6), pages 361-365.
  12. Dieter Schumacher & Boriss Siliverstovs, 2006. "Home-Market and Factor-Endowment Effects in a Gravity Approach," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 142(2), pages 330-353, July.
  13. 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.
  14. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-16, March.
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Citations

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Cited by:
  1. Shingal, ANIRUDH, 2011. "Foreign market access in government procurement," MPRA Paper 32814, University Library of Munich, Germany.
  2. Cipollina, Maria & Laborde, David & Salvatici, Luca, 2013. "Do Preferential Trade Policies (Actually) Increase Exports? An analysis of EU trade policies," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150177, Agricultural and Applied Economics Association.
  3. Sylvanus Kwaku Afesorgbor, 2013. "Revisiting the Effectiveness of African Economic Integration. A Meta-Analytic Review and Comparative Estimation Methods," Economics Working Papers 2013-13, School of Economics and Management, University of Aarhus.
  4. Lavallée, Emmanuelle & Lochard, Julie, 2012. "Independence and trade: new evidence from French colonial trade data," Economics Papers from University Paris Dauphine 123456789/10246, Paris Dauphine University.
  5. Bernhard Herz & Marco Wagner, 2011. "The Dark Side of the Generalized System of Preferences," Review of International Economics, Wiley Blackwell, vol. 19(4), pages 763-775, 09.
  6. Estrella Gómez Herrera, 2010. "Comparing alternative methods to estimate gravity models of bilateral trade," ThE Papers 10/05, Department of Economic Theory and Economic History of the University of Granada..
  7. Marine George, 2013. "Does cross-border regulation really influence cross-border trade? Evidence from the Services Trade Restrictions Index," Post-Print dumas-00909960, HAL.
  8. Felix Groba, 2011. "Determinants of Trade with Solar Energy Technology Components: Evidence on the Porter Hypothesis?," Discussion Papers of DIW Berlin 1163, DIW Berlin, German Institute for Economic Research.
  9. Bernhard Herz & Marco Wagner, 2010. "Multilateralism versus Regionalism!?," Working Papers 089, Bavarian Graduate Program in Economics (BGPE).
  10. Olga Solleder, 2013. "Trade Effects of Export Taxes," IHEID Working Papers 08-2013, Economics Section, The Graduate Institute of International Studies, revised 08 Apr 2013.
  11. Guy Lalanne & Ines Buono, 2010. "La réaction des entreprises françaises à la baisse des tarifs douaniers étrangers," Économie et Statistique, Programme National Persée, vol. 435(1), pages 13-29.
  12. Muhammad, Kabeer & Yücer, Aycil, 2010. "Trade effects of Regional Trade Agreements : trade creation and trade diversion within the Western Hemisphere," Economics Papers from University Paris Dauphine 123456789/10626, Paris Dauphine University.
  13. Shingal, ANIRUDH, 2009. "How much do agreements matter for services trade?," MPRA Paper 32815, University Library of Munich, Germany, revised 15 May 2010.
  14. P. Dorian Owen & Niven Winchester, 2011. "The impact of US fresh milk production standards on dairy trade," Working Papers 1117, University of Otago, Department of Economics, revised Dec 2011.
  15. Lavallée, Emmanuelle & Lochard, Julie, 2012. "Independence and trade: the specic effects of French colonialism," Economics Papers from University Paris Dauphine 123456789/9564, Paris Dauphine University.
  16. I. Buono & G. Lalanne, 2010. "The reaction of French firms to the decrase of foreign tariffs," Documents de Travail de la DESE - Working Papers of the DESE g2010-10, Institut National de la Statistique et des Etudes Economiques, DESE.
  17. Iwasaki, Ichiro & Suganuma, Keiko, 2013. "A Gravity Model of Russian Trade: The Role of Foreign Direct Investment and Socio-Cultural Similarity," RRC Working Paper Series 40, Russian Research Center, Institute of Economic Research, Hitotsubashi University.

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