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Estimation issues in disaggregate gravity trade models

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  • Prehn, Sören
  • Brümmer, Bernhard

Abstract

French (2011) can analytically show that the standard Anderson and van Wincoop (2003) gravity trade model is only correctly specified for disaggregate data; gravity trade model analysis should be done at product level and then estimation results should be reaggregated. If however gravity trade model analysis is to be done at product level then also estimation issues in disaggregate gravity trade models should come to the fore. As is shown, previous estimators suffer under different statistical problems. This paper proposes a zero-in ated Poisson Quasi-Likelihood (PQL) and a Gamma Two-Part Model (G2PM) as reliable alternatives. Estimated within a Generalised Estimating Equation (GEE) framework, both estimators are consistent and have more or less conservative test statistics. Further, for model selection a Quasi-Likelihood under the Independence Model Criterion (QIC) is recommend since this statistic is conform with GEE approaches. Both estimators PQL and G2PM and the model selection technique QIC should become standard tools for disaggregate gravity trade model estimation.

Suggested Citation

  • Prehn, Sören & Brümmer, Bernhard, 2011. "Estimation issues in disaggregate gravity trade models," DARE Discussion Papers 1107, Georg-August University of Göttingen, Department of Agricultural Economics and Rural Development (DARE).
    • Handle: RePEc:zbw:daredp:1107
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    References listed on IDEAS

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    1. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.
    2. Martijn Burger & Frank van Oort & Gert-Jan Linders, 2009. "On the Specification of the Gravity Model of Trade: Zeros, Excess Zeros and Zero-inflated Estimation," Spatial Economic Analysis, Taylor & Francis Journals, vol. 4(2), pages 167-190.
    3. Russell H. Hillberry, 2002. "Aggregation bias, compositional change, and the border effect," Canadian Journal of Economics, Canadian Economics Association, vol. 35(3), pages 517-530, August.
    4. Mullahy, John, 1998. "Much ado about two: reconsidering retransformation and the two-part model in health econometrics," Journal of Health Economics, Elsevier, vol. 17(3), pages 247-281, June.
    5. John Mullahy, 1998. "Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics," NBER Technical Working Papers 0228, National Bureau of Economic Research, Inc.
    6. Gabriel Felbermayr & Wilhelm Kohler, 2010. "Modelling the Extensive Margin of World Trade: New Evidence on GATT and WTO Membership," The World Economy, Wiley Blackwell, vol. 33(11), pages 1430-1469, November.
    7. 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.
    8. James E. Anderson & Yoto V. Yotov, 2010. "The Changing Incidence of Geography," American Economic Review, American Economic Association, vol. 100(5), pages 2157-2186, December.
    9. Kai Sun & Daniel J. Henderson & Subal C. Kumbhakar, 2011. "Biases in approximating log production," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(4), pages 708-714, June.
    10. 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.
    11. 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.
    12. 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.
    13. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    14. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    15. William H. Greene, 1994. "Accounting for Excess Zeros and Sample Selection in Poisson and Negative Binomial Regression Models," Working Papers 94-10, New York University, Leonard N. Stern School of Business, Department of Economics.
    16. Kevin E. Staub & Rainer Winkelmann, 2013. "Consistent Estimation Of Zero‐Inflated Count Models," Health Economics, John Wiley & Sons, Ltd., vol. 22(6), pages 673-686, June.
    17. 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.
    18. James E. Anderson, 2010. "The Incidence of Gravity," Boston College Working Papers in Economics 732, Boston College Department of Economics.
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    Cited by:

    1. Prehn, Soren & Brümmer, Bernhard & Glauben, Thomas, 2012. "Structural Gravity Estimation & Agriculture," 2012: New Rules of Trade? December 2012, San Diego, California 142765, International Agricultural Trade Research Consortium.

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    Keywords

    gravity model; excess zeros; Poisson Quasi-Likelihood; Gamma Two-Part Model; Generalised Estimating Equation Approach;
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