IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

The Log of Gravity

  • Joao Santos Silva
  • Silvana Tenreyro

Although economists have long been aware of Jensen's inequality, many econometric applications have neglected an important implication of it: the standard practice of interpreting the parameters of log-linearized models estimated by ordinary least squares as elasticities can be highly misleading in the presence of heteroskedasticity. This paper explains why this problem arises and proposes an appropriate estimator. Our criticism to conventional practices and the solution we propose extends to a broad range of economic applications where the equation under study is log-linearized. We develop the argument using one particular illustration, the gravity equation for trade, and apply the proposed technique to provide new estimates of this equation. We find significant differences between estimates obtained with the proposed estimator and those obtained with the traditional method. These discrepancies persist even when the gravity equation takes into account multilateral resistance terms or fixed effects

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://cep.lse.ac.uk/pubs/download/dp0701.pdf
Download Restriction: no

Paper provided by Centre for Economic Performance, LSE in its series CEP Discussion Papers with number dp0701.

as
in new window

Length:
Date of creation: Jul 2005
Date of revision:
Handle: RePEc:cep:cepdps:dp0701
Contact details of provider: Web page: http://cep.lse.ac.uk/_new/publications/series.asp?prog=CEP

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. 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.
  2. Windmeijer, F A G & Silva, J M C Santos, 1997. "Endogeneity in Count Data Models: An Application to Demand for Health Care," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 281-94, May-June.
  3. Rose, Andrew, 1999. "One Money, One Market: Estimating the Effect of Common Currencies on Trade," Seminar Papers 678, Stockholm University, Institute for International Economic Studies.
  4. Alan V. Deardorff, 1995. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," NBER Working Papers 5377, National Bureau of Economic Research, Inc.
  5. Robert C. Feenstra & Robert E. Lipsey & Harry P. Bowen, 1997. "World Trade Flows, 1970-1992, with Production and Tariff Data," NBER Working Papers 5910, National Bureau of Economic Research, Inc.
  6. Susanna Loeb & John Bound, 1995. "The Effect of Measured School Inputs on Academic Achievement: Evidence from the 1920s, 1930s and 1940s Birth Cohorts," NBER Working Papers 5331, National Bureau of Economic Research, Inc.
  7. Harrigan, James, 1993. "OECD imports and trade barriers in 1983," Journal of International Economics, Elsevier, vol. 35(1-2), pages 91-111, August.
  8. James E. Anderson & Eric van Wincoop, 2000. "Gravity with Gravitas: A Solution to the Border Puzzle," Boston College Working Papers in Economics 485, Boston College Department of Economics.
  9. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-16, March.
  10. Jeffrey A. Frankel and Shang-Jin Wei., 1993. "Emerging Currency Blocs," Center for International and Development Economics Research (CIDER) Working Papers C93-026, University of California at Berkeley.
  11. Wooldridge, J.M., 1990. "Distribution-Free Estimation Of Some Nonlinear Panel Data Models," Working papers 564, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Eichengreen, Barry & Irwin, Douglas A., 1995. "Trade blocs, currency blocs and the reorientation of world trade in the 1930s," Journal of International Economics, Elsevier, vol. 38(1-2), pages 1-24, February.
  13. Robert Barro & Silvana Tenreyro, 2007. "Economic Effects Of Currency Unions," Economic Inquiry, Western Economic Association International, vol. 45(1), pages 1-23, 01.
  14. Jeffrey M. Wooldridge, 2001. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262232197, June.
  15. Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Pseudo maximum lilelihood methods : applications to poisson models," CEPREMAP Working Papers (Couverture Orange) 8203, CEPREMAP.
  16. Hallak, Juan Carlos, 2006. "Product quality and the direction of trade," Journal of International Economics, Elsevier, vol. 68(1), pages 238-265, January.
  17. Davis, Donald R., 1995. "Intra-industry trade: A Heckscher-Ohlin-Ricardo approach," Journal of International Economics, Elsevier, vol. 39(3-4), pages 201-226, November.
  18. Alberto Alesina & Robert J. Barro, 2000. "Currency Unions," NBER Working Papers 7927, National Bureau of Economic Research, Inc.
  19. Robinson, P M, 1987. "Asymptotically Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form," Econometrica, Econometric Society, vol. 55(4), pages 875-91, July.
  20. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
  21. 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.
  22. 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.
  23. Delgado, M.A. & Kniesner, T.J., 1992. "Semiparametric Versus Parametric Count-Data Models-- Econometric Considerations and Estimates of Hedonic- Equilibrium Model of Worker Absenteeism," Papers 92-018, Indiana - Center for Econometric Model Research.
  24. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
  25. Frankel, Jeffrey & Rose, Andrew K., 2001. "An Estimate of the Effect of Common Currencies on Trade and Income," Working Paper Series rwp01-013, Harvard University, John F. Kennedy School of Government.
  26. 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.
  27. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-32, Nov.-Dec..
  28. 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.
  29. Jeffrey A. Frankel, 1997. "Regional Trading Blocs in the World Economic System," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 72, December.
  30. Boisso, Dale & Ferrantino, Michael, 1997. "Economic Distance, Cultural Distance, and Openness in International Trade : Empirical Puzzles," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 12, pages 456-484.
  31. 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.
  32. Delgado, Miguel A., 1992. "Semiparametric Generalized Least Squares in the Multivariate Nonlinear Regression Model," Econometric Theory, Cambridge University Press, vol. 8(02), pages 203-222, June.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:cep:cepdps:dp0701. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.