Estimation of the Gravity Equation in the Presence of Zero Flows
AbstractThe gravity model is the workhorse model to describe and explain variation in bilateral trade patterns. Consistent with both Heckscher-Ohlin models and models of imperfect competition and trade, this versatile model has proven to be very successful, explaining a large part of the variance in trade flows. However, the log-linear model cannot straightforwardly account for the occurrence of zero-valued trade flows between pairs of countries. This paper investigates the various approaches suggested to deal with zero flows. Apart from the option to omit the zero flows from the sample, various extensions of Tobit estimation, truncated regression, probit regression and substitutions for zero flows have been suggested. We argue that the choice of method should be based on both economic and econometric considerations. The sample selection model appears to fit both considerations best. Moreover, we show that the choice of method may matter greatly for the results. In the end, the results surprisingly suggest that the simplest solution, to omit zero flows from the sample, often leads to acceptable results, although the sample selection model is preferred theoretically and econometrically.
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Date of creation: 14 Aug 2006
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bilateral trade; gravity model; zero flows; sample selection model;
Find related papers by JEL classification:
- F14 - International Economics - - Trade - - - Empirical Studies of Trade
- F15 - International Economics - - Trade - - - Economic Integration
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- 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.
- Alan Deardorff, 1998. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," NBER Chapters, in: The Regionalization of the World Economy, pages 7-32 National Bureau of Economic Research, Inc.
- Deardorff, A.V., 1995. "Determinants of Bilateral Trade : Does Gravity Work in a Neoclassical World?," Papers 95-05, Michigan - Center for Research on Economic & Social Theory.
- Soloaga, Isidro & Alan Wintersb, L., 2001.
"Regionalism in the nineties: what effect on trade?,"
The North American Journal of Economics and Finance,
Elsevier, vol. 12(1), pages 1-29, March.
- Soloaga, Isidro & Winters, L. Alan, 1999. "Regionalism in the Nineties: What Effect on Trade?," CEPR Discussion Papers 2183, C.E.P.R. Discussion Papers.
- Andrew K. Rose, 2002.
"Do We Really Know that the WTO Increases Trade?,"
NBER Working Papers
9273, National Bureau of Economic Research, Inc.
- van Bergeijk, Peter A G & Oldersma, Harry, 1990. "Detente, Market-Oriented Reform and German Unification: Potential Consequences for the World Trade System," Kyklos, Wiley Blackwell, vol. 43(4), pages 599-609.
- James E. Anderson & Douglas Marcouiller, S.J., 1999.
"Insecurity and the Pattern of Trade: An Empirical Investigation,"
Boston College Working Papers in Economics
418, Boston College Department of Economics, revised 03 Aug 2000.
- James E. Anderson & Douglas Marcouiller, 2002. "Insecurity And The Pattern Of Trade: An Empirical Investigation," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 342-352, May.
- Heckman, James J, 1979.
"Sample Selection Bias as a Specification Error,"
Econometric Society, vol. 47(1), pages 153-61, January.
- James E. Anderson & Eric van Wincoop, 2004.
NBER Working Papers
10480, National Bureau of Economic Research, Inc.
- Jacob A. Bikker & Aart F. De Vos, 1992. "An international trade flow model with zero observations: an extension of the Tobit model," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 135, pages 379-404.
- Jeffrey A. Frankel, 1997. "Regional Trading Blocs in the World Economic System," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 72.
- Claudia M. Buch & Jörn Kleinert & Farid Toubal, 2003.
"The Distance Puzzle: On the Interpretation of the Distance Coefficient in Gravity Equations,"
Kiel Working Papers
1159, Kiel Institute for the World Economy.
- Buch, Claudia M. & Kleinert, Jorn & Toubal, Farid, 2004. "The distance puzzle: on the interpretation of the distance coefficient in gravity equations," Economics Letters, Elsevier, vol. 83(3), pages 293-298, June.
- Ga�l Raballand, 2003. "Determinants of the Negative Impact of Being Landlocked on Trade: An Empirical Investigation Through the Central Asian Case," Comparative Economic Studies, Palgrave Macmillan, vol. 45(4), pages 520-536, December.
- Peter Egger, .
"A Note on the Proper Econometric Specification of the Gravity Equation,"
WIFO Working Papers
- Egger, Peter, 2000. "A note on the proper econometric specification of the gravity equation," Economics Letters, Elsevier, vol. 66(1), pages 25-31, January.
- Rauch, James E., 1999.
"Networks versus markets in international trade,"
Journal of International Economics,
Elsevier, vol. 48(1), pages 7-35, June.
- 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.
- Barry Eichengreen & Douglas A. Irwin, 1998.
"The Role of History in Bilateral Trade Flows,"
in: The Regionalization of the World Economy, pages 33-62
National Bureau of Economic Research, Inc.
- Andrew K. Rose, 2000. "One money, one market: the effect of common currencies on trade," Economic Policy, CEPR & CES & MSH, vol. 15(30), pages 7-46, 04.
- Gronau, Reuben, 1974. "Wage Comparisons-A Selectivity Bias," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1119-43, Nov.-Dec..
- Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-44, September.
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