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Estimating gravity equations: to log or not to log?

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Abstract

In this study 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 gravity model of Bergstrand (Rev Econ Stat 71(1):143--153, 1989) for disaggregate trade flows 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 main conclusion is that both estimation results as well as results of the regression mis-specification tests provide supporting evidence for the PQML estimation approach over the OLS estimation method.

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References

  • Aitken ND (1973) The effect of EEC and EFTA on European trade: a temporal cross-section analysis. Am Econ Rev 63: 881–892

    Google Scholar 

  • Anderson JE (1979) A theoretical foundation for the gravity equation. Am Econ Rev 69: 106–116

    Google Scholar 

  • Anderson JE, van Wincoop E (2003) Gravity with gravitas: a solution to the border puzzle. Am Econ Rev 93(1): 170–192

    Article  Google Scholar 

  • Anderson JE, van Wincoop E (2004) Trade costs. J Econ Lit 42(3): 691–751

    Article  Google Scholar 

  • Bergstrand JH (1985) The gravity equation in international trade: some microeconomic foundations and empirical evidence. Rev Econ Stat 67: 474–481

    Article  Google Scholar 

  • Bergstrand JH (1989) The generalized gravity equation, monopolistic competition, and the factor proportions theory in international trade. Rev Econ Stat 71(1): 143–153

    Article  Google Scholar 

  • Davidson R, MacKinnon JG (1993) Estimation and inference in econometrics. Oxford University Press, Oxford

    Google Scholar 

  • Deardorff AV (1982) The general validity of the Heckscher–Ohlin theorem. Am Econ Rev 72(4): 683–694

    Google Scholar 

  • Feenstra RC, Markusen JA, Rose AK (2001) Using the gravity equation to differentiate among alternative theories of trade. Can J Econ 34(2): 430–442

    Article  Google Scholar 

  • Geraci VJ, Prewo W (1977) Bilateral trade flows and transport costs. Rev Econ Stat 59: 67–74

    Article  Google Scholar 

  • Goldberger A (1968) The interpretation and estimation of Cobb-Douglas functions. Econometrica 36(3–4): 464–472

    Article  Google Scholar 

  • Helpman E, Krugman P (1985) Market structure and foreign trade. MIT Press, Cambridge, MA

    Google Scholar 

  • Linder SB (1961) An essay on trade and transformation. Wiley, New York

    Google Scholar 

  • Linnemann H (1966) An econometric study of international trade flows. North-Holland, Amsterdam

    Google Scholar 

  • Manning WG, Mullahy J (2001) Estimating log models: to transform or not to transform?. J Health Econ 20: 461–494

    Article  Google Scholar 

  • Park R (1966) Estimation with heteroskedastic error terms. Econometrica 34(4): 888

    Article  Google Scholar 

  • Peters S (2000) On the use of the RESET test in microeconometric models. Appl Econ Lett 7: 361–365

    Article  Google Scholar 

  • Poyhonen P (1963) A tentative model for the volume of trade between countries. Rev World Econ 90(1): 93–100

    Google Scholar 

  • Ramsey JB (1969) Test for specification errors in classical linear least squares regression analysis. J R Stat Soc B 31: 350–371

    Google Scholar 

  • Santos Silva JMC, Tenreyro S (2006) The log of gravity. Rev Econ Stat 88(4): 641–658

    Article  Google Scholar 

  • Sapir A (1981) Trade benefits under the EEC generalized system of preferences. Eur Econ Rev 15: 339–355

    Article  Google Scholar 

  • Sattinger M (1978) Trade flows and differences between countries. Atl Econ J 6: 22–29

    Article  Google Scholar 

  • Schumacher D, Siliverstovs B (2006) Home-market and factor-endowment effects in a gravity approach. Rev World Econ (Weltwirtschaftliches Archiv) 127(2): 330–353

    Article  Google Scholar 

  • Tinbergen J (1962) Shaping the world economy. Twentieth Century Fund, New York

    Google Scholar 

  • Wooldridge JM (2002) Econometric analysis of cross-section and panel data. MIT Press, Cambridge, MA

    Google Scholar 

Download references

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Correspondence to Boriss Siliverstovs.

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The paper has benefited from comments by an anonymous referee and by the participants at the following conferences: the 4th Nordic Econometrics Meeting, Tartu, Estonia, the 8th Annual Conference of the European Trade Study Group (ETSG), Vienna, Austria, the 21th Annual Congress of the European Economic Association (EEA), Vienna, Austria, the XIth Spring Meeting of Young Economists (SMYE), Sevilla, Spain, and the 5th Annual Conference of the European Economics and Finance Society (EEFS), Heraklion, Greece.

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Siliverstovs, B., Schumacher, D. Estimating gravity equations: to log or not to log?. Empir Econ 36, 645–669 (2009). https://doi.org/10.1007/s00181-008-0217-y

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  • DOI: https://doi.org/10.1007/s00181-008-0217-y

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