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Estimation Issues in Single Commodity Gravity Trade Models

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  • Prehn, Soren
  • Brümmer, Bernhard

Abstract

Recently gravity trade models are applied to disaggregated trade data. Here many zeros are characteristic. In the presence of excess zeros usual Poisson Pseudo Maximum Likelihood (PPML) is still consistent, the variance covariance matrix however is invalid. Correct economic interpretation however requires also the last. So alternative estimators are looked for. Staub & Winkelmann [2010] argue that zeroinflated count data models (i.e. zero-inflated Poisson / Negative Binomial Pseudo Maximum Likelihood (ZIPPML / ZINBPML)) are no alternative since under model misspecification these estimators are inconsistent. Yet zero-inflated Poisson Quasi- Likelihood (PQL) is a reliable alternative. It is consistent even under model misspecifications and beyond that robust against unobserved heterogeneity. Another alternative is a log-skew-normal Two-Part Model (G2PM) which generalizes the standard log-normal Two-Part Model (2PM). It is insofar advantageous as it adjusts for (negative) skewness and regression coefficients retain usual interpretations as in log-normal models. PQL is useful for multiplicative gravity model estimation and G2PM for log-linear gravity model estimation. Exemplarily the estimators are applied to intra-European piglet trade to assess their empirical performance and applicability for single commodity trade flow analysis. The empirical part favours PQL but G2PM is a reliable alternative for other trade flow analyses. PQL and G2PM should become standard tools for single commodity trade flow analysis.

Suggested Citation

  • Prehn, Soren & Brümmer, Bernhard, 2011. "Estimation Issues in Single Commodity Gravity Trade Models," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114776, European Association of Agricultural Economists.
  • Handle: RePEc:ags:eaae11:114776
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    References listed on IDEAS

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    1. 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.
    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. Joao Santos Silva Santos Silva & Silvana Tenreyro & Frank Windmeijer, 2010. "Is it different for zeros? Discriminating between models for non-negative data with many zeros," CeMMAP working papers CWP20/10, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    5. 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.
    6. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 441-487.
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