IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v48y2015i1p361-387.html
   My bibliography  Save this article

Semi-mixed effects gravity models for bilateral trade

Author

Listed:
  • Isabel Proença
  • Stefan Sperlich
  • Duygu Savaşcı

Abstract

In recent years, different alternatives have been suggested to specify and estimate gravity models for bilateral trade. Presently, the so-called Poisson pseudomaximum likelihood (PPML) with log-linear index is probably the most commonly used method. A method is proposed for panel data that targets to reconcile the pros and cons of fixed and random effects models, respectively. It applies equally to two- and three-way panel models and those with country-specific time-varying effects. It allows to filter out potential correlation between observed and unobserved heterogeneity and to identify the effects of time-invariant factors. It can also be used when panels are short in time, and to other specifications than the PPML-like gamma PML, zero-inflated, or Tobit-like models. We introduce and illustrate the proposed estimator with a study of bilateral trade flows across the European Union before the recent economic crisis. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Isabel Proença & Stefan Sperlich & Duygu Savaşcı, 2015. "Semi-mixed effects gravity models for bilateral trade," Empirical Economics, Springer, vol. 48(1), pages 361-387, February.
    • Handle: RePEc:spr:empeco:v:48:y:2015:i:1:p:361-387
    DOI: 10.1007/s00181-014-0891-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00181-014-0891-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00181-014-0891-x?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Inmaculada Martínez-Zarzoso, 2013. "The log of gravity revisited," Applied Economics, Taylor & Francis Journals, vol. 45(3), pages 311-327, January.
    2. Max Köhler & Anja Schindler & Stefan Sperlich, 2014. "A Review and Comparison of Bandwidth Selection Methods for Kernel Regression," International Statistical Review, International Statistical Institute, vol. 82(2), pages 243-274, August.
    3. Sperlich, Stefan & Tjøstheim, Dag & Yang, Lijian, 2002. "Nonparametric Estimation And Testing Of Interaction In Additive Models," Econometric Theory, Cambridge University Press, vol. 18(2), pages 197-251, April.
    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. José Lombardía, María & Sperlich, Stefan, 2012. "A new class of semi-mixed effects models and its application in small area estimation," Computational Statistics & Data Analysis, Elsevier, vol. 56(10), pages 2903-2917.
    6. 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.
    7. J. A. Nelder, 2000. "Quasi-likelihood and pseudo-likelihood are not the same thing," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(8), pages 1007-1011.
    8. Simon N. Wood, 2011. "Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 73(1), pages 3-36, January.
    9. McKinley Blackburn & David Neumark, 1992. "Unobserved Ability, Efficiency Wages, and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(4), pages 1421-1436.
    10. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    11. Estrella Gómez-Herrera, 2013. "Comparing alternative methods to estimate gravity models of bilateral trade," Empirical Economics, Springer, vol. 44(3), pages 1087-1111, June.
    12. 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.
    13. Krivobokova, Tatyana & Kneib, Thomas & Claeskens, Gerda, 2010. "Simultaneous Confidence Bands for Penalized Spline Estimators," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 852-863.
    14. Peter Egger & Michael Pfaffermayr, 2003. "The proper panel econometric specification of the gravity equation: A three-way model with bilateral interaction effects," Empirical Economics, Springer, vol. 28(3), pages 571-580, July.
    15. Daniel J. Henderson & Daniel L. Millimet, 2008. "Is gravity linear?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(2), pages 137-172.
    16. Alan V. Deardorff, 2011. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," 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 24, pages 267-293, World Scientific Publishing Co. Pte. Ltd..
    17. Isabel Proença & Maria Fontoura & Enrique Martínez-Galán, 2008. "Trade in the enlarged European Union: a new approach on trade potential," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 7(3), pages 205-224, December.
    18. Stefan Sperlich & María José Lombardía, 2010. "Local polynomial inference for small area statistics: estimation, validation and prediction," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(5), pages 633-648.
    19. Simon N. Wood, 2008. "Fast stable direct fitting and smoothness selection for generalized additive models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(3), pages 495-518, July.
    20. 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.
    21. Jeffrey M. Wooldridge, 2005. "Fixed-Effects and Related Estimators for Correlated Random-Coefficient and Treatment-Effect Panel Data Models," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 385-390, May.
    22. Chamberlain, Gary, 1982. "Multivariate regression models for panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 5-46, January.
    23. María José Lombardía & Stefan Sperlich, 2008. "Semiparametric inference in generalized mixed effects models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(5), pages 913-930, November.
    24. Racine, Jeffrey & Su, Liangjun & Ullah, Aman, 2014. "The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics," OUP Catalogue, Oxford University Press, number 9780199857944.
    25. Jeffrey S. Racine & Christopher F. Parmeter, 2012. "Data-Driven Model Evaluation: A Test for Revealed Performance," Department of Economics Working Papers 2012-13, McMaster University.
    26. Xihong Lin & Raymond J. Carroll, 2006. "Semiparametric estimation in general repeated measures problems," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(1), pages 69-88, February.
    27. Zheng, Xiaoyong, 2008. "Semiparametric Bayesian estimation of mixed count regression models," Economics Letters, Elsevier, vol. 100(3), pages 435-438, September.
    28. X. Lin & D. Zhang, 1999. "Inference in generalized additive mixed modelsby using smoothing splines," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(2), pages 381-400, April.
    29. Yongcheol Shin & Laura Serlenga, 2007. "Gravity models of intra-EU trade: application of the CCEP-HT estimation in heterogeneous panels with unobserved common time-specific factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 361-381.
    30. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Isabel PROENÇA & Enrique MARTINEZ-GALÁN & Maria Paula FONTOURA, 2017. "Trade Potential Revisited: A Panel Data Analysis For Zimbabwe," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 17(1), pages 113-130.
    2. Al Faithrich C. Navarrete & Virgillio M. Tatlonghari, 2018. "An empirical assessment of the effects of the Japan–Philippine Economic Partnership Agreement (JPEPA) on Philippine exports to Japan: a gravity model approach," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 7(1), pages 1-20, December.
    3. Márcio Mateus & Isabel Proença & Paulo Júlio, 2016. "What Drives Foreign Direct Investment In The Tradable Sector?," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 21(2), pages 101-142.
    4. Enkang Li & Mengqiu Lu & Yu Chen, 2020. "Analysis of China’s Importance in “Belt and Road Initiative” Trade Based on a Gravity Model," Sustainability, MDPI, vol. 12(17), pages 1-21, August.

    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. 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.
    2. Badi H. Baltagi & Peter Egger & Michael Pfaffermayr, 2014. "Panel Data Gravity Models of International Trade," CESifo Working Paper Series 4616, CESifo.
    3. Estrella Gómez-Herrera, 2013. "Comparing alternative methods to estimate gravity models of bilateral trade," Empirical Economics, Springer, vol. 44(3), pages 1087-1111, June.
    4. Shumilov, Andrei, 2017. "Оценивание Гравитационных Моделей Международной Торговли: Обзор Основных Подходов [Estimating gravity models of international trade: a survey of methods]," MPRA Paper 79790, University Library of Munich, Germany.
    5. Maria Cipollina & Luca De Benedictis & Luca Salvatici & Claudio Vicarelli, 2016. "Policy Measurement And Multilateral Resistance In Gravity Models," Working Papers LuissLab 16130, Dipartimento di Economia e Finanza, LUISS Guido Carli.
    6. 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.
    7. Mohd Hussain Kunroo & Irfan Ahmad Sofi & Naushad Ali Azad, 2016. "Trade implications of the Euro in EMU countries: a panel gravity analysis," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 43(2), pages 391-413, May.
    8. 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.
    9. 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.
    10. Michele Fratianni & Francesco Marchionne, 2011. "The Limits to Integration," Chapters, in: Miroslav N. Jovanović (ed.), International Handbook on the Economics of Integration, Volume I, chapter 9, Edward Elgar Publishing.
    11. Kristian Behrens & Cem Ertur & Wilfried Koch, 2012. "‘Dual’ Gravity: Using Spatial Econometrics To Control For Multilateral Resistance," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(5), pages 773-794, August.
    12. Wessel, Jan, 2019. "Evaluating the transport-mode-specific trade effects of different transport infrastructure types," Transport Policy, Elsevier, vol. 78(C), pages 42-57.
    13. Silviano Esteve-Pérez & Salvador Gil-Pareja & Rafael Llorca-Vivero, 2020. "Does the GATT/WTO promote trade? After all, Rose was right," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 156(2), pages 377-405, May.
    14. Mehmet Huseyin Bilgin & Giray Gozgor & Chi Keung Marco Lau, 2017. "Institutions and gravity model: the role of political economy and corporate governance," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 7(3), pages 421-436, December.
    15. Evelyn S. Devadason & Shujaat Mubarik, 2020. "ASEAN and the EU: an assessment of interregional trade potentials," International Economics and Economic Policy, Springer, vol. 17(3), pages 705-726, July.
    16. Sylvanus Kwaku Afesorgbor, 2013. "Revisiting the Effectiveness of African Economic Integration. A Meta-Analytic Review and Comparative Estimation Methods," Economics Working Papers 2013-13, Department of Economics and Business Economics, Aarhus University.
    17. Valeriano Martínez-San Román & Marta Bengoa & Blanca Sánchez-Robles, 2016. "Foreign direct investment, trade integration and the home bias: evidence from the European Union," Empirical Economics, Springer, vol. 50(1), pages 197-229, February.
    18. Frederik Stender, 2018. "MERCOSUR in gravity: an accounting approach to analyzing its trade effects," International Economics and Economic Policy, Springer, vol. 15(2), pages 501-522, April.
    19. Malik Curuk & Suphi Sen, 2015. "Oil Trade and Climate Policy," CESifo Working Paper Series 5285, CESifo.
    20. Aiello, Francesco & Demaria, Federica, 2009. "Do trade preferential agreements enhance the exports of developing countries? Evidence from the EU GSP," MPRA Paper 20093, University Library of Munich, Germany.

    More about this item

    Keywords

    Gravity models; Regional trade; Panel econometrics; F10; F15; C14; C23;
    All these keywords.

    JEL classification:

    • F10 - International Economics - - Trade - - - General
    • F15 - International Economics - - Trade - - - Economic Integration
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

    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:48:y:2015:i:1:p:361-387. 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.