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A Spatial-Filtering Zero-Inflated Approach to the Estimation of the Gravity Model of Trade

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  • R. Metulini
  • R. Patuelli
  • D. A. Griffith

Abstract

Nonlinear estimation of the gravity model with Poisson/negative binomial methods has become popular to model international trade flows, because it permits a better accounting for zero flows and extreme values in the distribution tail. Nevertheless, as trade flows are not independent from each other due to spatial autocorrelation, these methods may lead to biased parameter estimates. To overcome this problem, eigenvector spatial filtering variants of the Poisson/negative binomial specification have been proposed in the literature of gravity modelling of trade. However, no specific treatment has been developed for cases in which many zero flows are present. This paper contributes to the literature in two ways. First, by employing a stepwise selection criterion for spatial filters that is based on robust (sandwich) p-values and does not require likelihood-based indicators. In this respect, we develop an ad hoc backward stepwise function in R. Second, using this function, we select a reduced set of spatial filters that properly accounts for importer-side and exporter-side specific spatial effects, both at the count and the logit processes of zero-inflated methods. Applying this estimation strategy to a cross-section of bilateral trade flows between a set of worldwide countries for the year 2000, we find that our specification outperforms the benchmark models in terms of model fitting, both considering the AIC and in predicting zero (and small) flows.

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  • R. Metulini & R. Patuelli & D. A. Griffith, 2016. "A Spatial-Filtering Zero-Inflated Approach to the Estimation of the Gravity Model of Trade," Working Papers wp1081, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp1081
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    1. Roberto Patuelli & Gert-Jan M. Linders & Rodolfo Metulini & Daniel A. Griffith, 2016. "The Space of Gravity: Spatially Filtered Estimation of a Gravity Model for Bilateral Trade," Advances in Spatial Science, in: Roberto Patuelli & Giuseppe Arbia (ed.), Spatial Econometric Interaction Modelling, chapter 0, pages 145-169, Springer.
    2. Roberto Patuelli & Giuseppe Arbia (ed.), 2016. "Spatial Econometric Interaction Modelling," Advances in Spatial Science, Springer, number 978-3-319-30196-9, Fall.
    3. William Martin & Cong S. Pham, 2020. "Estimating the gravity model when zero trade flows are frequent and economically determined," Applied Economics, Taylor & Francis Journals, vol. 52(26), pages 2766-2779, May.
    4. 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.
    5. Bo Xiong & John Beghin, 2017. "Does European aflatoxin regulation hurt groundnut exporters from Africa?," World Scientific Book Chapters, in: John Christopher Beghin (ed.), Nontariff Measures and International Trade, chapter 16, pages 287-307, World Scientific Publishing Co. Pte. Ltd..
    6. Gert-Jan M. Linders & Martijn J. Burger & Frank G. van Oort, 2008. "A rather empty world: the many faces of distance and the persistent resistance to international trade," Cambridge Journal of Regions, Economy and Society, Cambridge Political Economy Society, vol. 1(3), pages 439-458.
    7. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.
    8. Ping Zeng & Yongyue Wei & Yang Zhao & Jin Liu & Liya Liu & Ruyang Zhang & Jianwei Gou & Shuiping Huang & Feng Chen, 2014. "Variable selection approach for zero-inflated count data via adaptive lasso," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(4), pages 879-894, April.
    9. Baier, Scott L. & Bergstrand, Jeffrey H., 2009. "Bonus vetus OLS: A simple method for approximating international trade-cost effects using the gravity equation," Journal of International Economics, Elsevier, vol. 77(1), pages 77-85, February.
    10. Badi Baltagi & Peter Egger, 2016. "Estimation of structural gravity quantile regression models," Empirical Economics, Springer, vol. 50(1), pages 5-15, February.
    11. Yongwan Chun & Daniel A. Griffith & Monghyeon Lee & Parmanand Sinha, 2016. "Eigenvector selection with stepwise regression techniques to construct eigenvector spatial filters," Journal of Geographical Systems, Springer, vol. 18(1), pages 67-85, January.
    12. 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.
    13. Roberto Patuelli & Norbert Schanne & Daniel A. Griffith & Peter Nijkamp, 2012. "Persistence Of Regional Unemployment: Application Of A Spatial Filtering Approach To Local Labor Markets In Germany," Journal of Regional Science, Wiley Blackwell, vol. 52(2), pages 300-323, May.
    14. Robert C. Feenstra & Robert E. Lipsey & Haiyan Deng & Alyson C. Ma & Hengyong Mo, 2005. "World Trade Flows: 1962-2000," NBER Working Papers 11040, National Bureau of Economic Research, Inc.
    15. Yongwan Chun, 2008. "Modeling network autocorrelation within migration flows by eigenvector spatial filtering," Journal of Geographical Systems, Springer, vol. 10(4), pages 317-344, December.
    16. Roberto Patuelli & Gert-Jan Linders & Rodolfo Metulini & Daniel A. Griffith, 2015. "The Space of Gravity: Spatial Filtering Estimation of a Gravity Model for Bilateral Trade," Working Paper series 15-27, Rimini Centre for Economic Analysis.
    17. Aura Reggiani & Peter Nijkamp (ed.), 2009. "Complexity and Spatial Networks," Advances in Spatial Science, Springer, number 978-3-642-01554-0, Fall.
    18. Santos Silva, J.M.C. & Tenreyro, Silvana, 2011. "Further simulation evidence on the performance of the Poisson pseudo-maximum likelihood estimator," Economics Letters, Elsevier, vol. 112(2), pages 220-222, August.
    19. Lambert, Dayton M. & Brown, Jason P. & Florax, Raymond J.G.M., 2010. "A two-step estimator for a spatial lag model of counts: Theory, small sample performance and an application," Regional Science and Urban Economics, Elsevier, vol. 40(4), pages 241-252, July.
    20. Egger, Peter H. & Tarlea, Filip, 2015. "Multi-way clustering estimation of standard errors in gravity models," Economics Letters, Elsevier, vol. 134(C), pages 144-147.
    21. 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.
    22. James P. LeSage & Manfred M. Fischer, 2016. "Spatial Regression-Based Model Specifications for Exogenous and Endogenous Spatial Interaction," Advances in Spatial Science, in: Roberto Patuelli & Giuseppe Arbia (ed.), Spatial Econometric Interaction Modelling, chapter 0, pages 15-36, Springer.
    23. 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.
    24. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
    25. Majo, M.C. & van Soest, A.H.O., 2011. "The Fixed-Effects Zero-Inflated Poisson Model with an Application to Health Care Utilization," Discussion Paper 2011-083, Tilburg University, Center for Economic Research.
    26. 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.
    27. Daniel A. Griffith, 2003. "Spatial Autocorrelation and Spatial Filtering," Advances in Spatial Science, Springer, number 978-3-540-24806-4, Fall.
    28. Yongwan Chun & Daniel Griffith & Monghyeon Lee & Parmanand Sinha, 2016. "Eigenvector selection with stepwise regression techniques to construct eigenvector spatial filters," Journal of Geographical Systems, Springer, vol. 18(1), pages 67-85, January.
    29. Daniel A. Griffith, 2009. "Spatial Autocorrelation in Spatial Interaction," Advances in Spatial Science, in: Aura Reggiani & Peter Nijkamp (ed.), Complexity and Spatial Networks, chapter 0, pages 221-237, Springer.
    30. Thomas Scherngell & Rafael Lata, 2013. "Towards an integrated European Research Area? Findings from Eigenvector spatially filtered spatial interaction models using European Framework Programme data," Papers in Regional Science, Wiley Blackwell, vol. 92(3), pages 555-577, August.
    31. Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2007. "Estimating models of complex FDI: Are there third-country effects?," Journal of Econometrics, Elsevier, vol. 140(1), pages 260-281, September.
    32. Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
    33. Yoshitsugu Kitazawa, 2014. "Consistent estimation for the full-fledged fixed effects zero-inflated Poisson model," Discussion Papers 66, Kyushu Sangyo University, Faculty of Economics.
    34. Wilfried Koch & James P. LeSage, 2015. "Latent Multilateral Trade Resistance Indices: Theory and Evidence," Scottish Journal of Political Economy, Scottish Economic Society, vol. 62(3), pages 264-290, July.
    35. Peter Egger & Kevin Staub, 2016. "GLM estimation of trade gravity models with fixed effects," Empirical Economics, Springer, vol. 50(1), pages 137-175, February.
    36. Daniel A. Griffith & Yongwan Chun, 2016. "Evaluating Eigenvector Spatial Filter Corrections for Omitted Georeferenced Variables," Econometrics, MDPI, vol. 4(2), pages 1-12, June.
    37. Gaël 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;Association for Comparative Economic Studies, vol. 45(4), pages 520-536, December.
    38. Rodica Gilles & Seik Kim, 2013. "Distribution-Free Estimation of Zero-Inflated Models with Unobserved Heterogeneity," Working Papers UWEC-2013-03, University of Washington, Department of Economics.
    39. Jansen, Marion & Nordås, Hildegunn Kyvik, 2004. "Institutions, trade policy and trade flows," WTO Staff Working Papers ERSD-2004-02, World Trade Organization (WTO), Economic Research and Statistics Division.
    40. James P. LeSage & R. Kelley Pace, 2008. "Spatial Econometric Modeling Of Origin‐Destination Flows," Journal of Regional Science, Wiley Blackwell, vol. 48(5), pages 941-967, December.
    41. Sellner, Richard & Fischer, Manfred M. & Koch, Matthias, 2010. "A spatial autoregressive Poisson gravity model," MPRA Paper 77551, University Library of Munich, Germany.
    42. repec:rre:publsh:v:37:y:2007:i:1:p:28-38 is not listed on IDEAS
    43. Andrew K. Rose, 2000. "One money, one market: the effect of common currencies on trade," Economic Policy, CEPR;CES;MSH, vol. 15(30), pages 08-45.
    44. Tamás Krisztin & Manfred M. Fischer, 2015. "The Gravity Model for International Trade: Specification and Estimation Issues," Spatial Economic Analysis, Taylor & Francis Journals, vol. 10(4), pages 451-470, December.
    45. George Philippidis & Helena Resano-Ezcaray & Ana I. Sanjuán-López, 2013. "Capturing zero-trade values in gravity equations of trade: an analysis of protectionism in agro-food sectors," Agricultural Economics, International Association of Agricultural Economists, vol. 44(2), pages 141-159, March.
    46. Manfred M. Fischer & Daniel A. Griffith, 2008. "Modeling Spatial Autocorrelation In Spatial Interaction Data: An Application To Patent Citation Data In The European Union," Journal of Regional Science, Wiley Blackwell, vol. 48(5), pages 969-989, December.
    47. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • F10 - International Economics - - Trade - - - General

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