IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v36y2009i3p645-669.html
   My bibliography  Save this article

Estimating gravity equations: to log or not to log?

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Boriss Siliverstovs & Dieter Schumacher, 2009. "Estimating gravity equations: to log or not to log?," Empirical Economics, Springer, vol. 36(3), pages 645-669, June.
    • Handle: RePEc:spr:empeco:v:36:y:2009:i:3:p:645-669
    DOI: 10.1007/s00181-008-0217-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00181-008-0217-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00181-008-0217-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alan V. Deardorff, 2011. "The General Validity of the Heckscher-Ohlin Theorem," World Scientific Book Chapters, in: Robert M Stern (ed.), Comparative Advantage, Growth, And The Gains From Trade And Globalization A Festschrift in Honor of Alan V Deardorff, chapter 11, pages 91-103, 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. 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.
    4. 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/Revue canadienne d'économique, John Wiley & Sons, vol. 34(2), pages 430-447, May.
    5. 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.
    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. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    8. 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 881-892, December.
    9. 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.
    10. André Sapir, 1981. "Trade benefits under the EEC generalized system of preferences," ULB Institutional Repository 2013/8290, ULB -- Universite Libre de Bruxelles.
    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;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 142(2), pages 330-353, July.
    13. 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.
    14. 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.
    15. 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. Tamaş Anca, 2020. "Why should the gravity model be taught in business education?," Proceedings of the International Conference on Business Excellence, Sciendo, vol. 14(1), pages 422-433, July.
    2. 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.
    3. Cardamone, Paola, 2007. "A Survey of the Assessments of the Effectiveness of Preferential Trade Agreements using Gravity Models," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 60(4), pages 421-473.
    4. Zongo, Amara, 2020. "The Impact of Services Trade Restrictiveness on Food Trade," MPRA Paper 101658, University Library of Munich, Germany.
    5. 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.
    6. 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.
    7. Zhang, Daowei & Li, Yanshu, 2009. "Forest endowment, logging restrictions, and China's wood products trade," China Economic Review, Elsevier, vol. 20(1), pages 46-53, March.
    8. Felix Groba & Jing Cao, 2015. "Chinese Renewable Energy Technology Exports: The Role of Policy, Innovation and Markets," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 60(2), pages 243-283, February.
    9. Bo Xiong & Sixia Chen, 2014. "Estimating gravity equation models in the presence of sample selection and heteroscedasticity," Applied Economics, Taylor & Francis Journals, vol. 46(24), pages 2993-3003, August.
    10. J. Sebastián Castillo & Emiliano C. Villanueva & M. Carmen García‐Cortijo, 2016. "The International Wine Trade and Its New Export Dynamics (1988–2012): A Gravity Model Approach," Agribusiness, John Wiley & Sons, Ltd., vol. 32(4), pages 466-481, November.
    11. Baier, Scott L. & Bergstrand, Jeffrey H., 2009. "Estimating the effects of free trade agreements on international trade flows using matching econometrics," Journal of International Economics, Elsevier, vol. 77(1), pages 63-76, February.
    12. 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.
    13. 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.
    14. 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.
    15. Hanh Vu Thi, 2015. "Essays on the Export Performance of Vietnam/Essais sur la Performance à l'Exportation du Vietnam," ULB Institutional Repository 2013/216765, ULB -- Universite Libre de Bruxelles.
    16. 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.
    17. Scott L. Baier & Jeffrey H. Bergstrand, 2004. "Trade agreements and trade flows: Estimating the effect of free trade agreements on trade flows with an application to the European Union," European Economy - Economic Papers 2008 - 2015 214, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    18. Jacqueline Karlsson & Helena Melin & Kevin Cullinane, 2018. "The impact of potential Brexit scenarios on German car exports to the UK: an application of the gravity model," Journal of Shipping and Trade, Springer, vol. 3(1), pages 1-22, December.
    19. Daniel Lederman & Çaglar Özden, 2007. "Geopolitical Interests And Preferential Access To U.S. Markets," Economics and Politics, Wiley Blackwell, vol. 19(2), pages 235-258, July.
    20. Felix Groba, 2014. "Determinants of trade with solar energy technology components: evidence on the porter hypothesis?," Applied Economics, Taylor & Francis Journals, vol. 46(5), pages 503-526, February.

    More about this item

    Keywords

    Gravity equation; Poisson regression; F12;
    All these keywords.

    JEL classification:

    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation

    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:spr:empeco:v:36:y:2009:i:3:p:645-669. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.