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Using Power Laws to Identify the Structural Parameters of Trade Models with Firm Heterogeneity

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  • Ahmad, Saad
  • Akgul, Zeynep

Abstract

While various firm heterogeneity models of trade have recently emerged in the CGE literature, their mainstream adoption in trade policy analysis has been limited partly due to lack of available parameter estimates at the disaggregated sector level. In particular, the productivity dispersion and substitution elasticity parameters need to be estimated in a manner consistent with the theoretical underpinnings of the firm heterogeneity framework. In this paper we address this gap by estimating the productivity dispersion parameter by using ORBIS firm-level data and imputing substitution elasticities by fitting the firm size distribution and productivity distribution to the Pareto distribution.

Suggested Citation

  • Ahmad, Saad & Akgul, Zeynep, 2018. "Using Power Laws to Identify the Structural Parameters of Trade Models with Firm Heterogeneity," Conference papers 332993, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
  • Handle: RePEc:ags:pugtwp:332993
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    1. Peter Dixon & Michael Jerie & Maureen Rimmer, 2016. "Modern Trade Theory for CGE Modelling: The Armington, Krugman and Melitz Models," Journal of Global Economic Analysis, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University, vol. 1(1), pages 1-110, June.
    2. Feenstra, Robert C., 2018. "Restoring the product variety and pro-competitive gains from trade with heterogeneous firms and bounded productivity," Journal of International Economics, Elsevier, vol. 110(C), pages 16-27.
    3. repec:hal:wpspec:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    4. Marc Melitz & Stephen Redding, 2013. "Firm Heterogeneity and Aggregate Welfare," Working Papers hal-03473900, HAL.
    5. Andrew B. Bernard & Jonathan Eaton & J. Bradford Jensen & Samuel Kortum, 2003. "Plants and Productivity in International Trade," American Economic Review, American Economic Association, vol. 93(4), pages 1268-1290, September.
    6. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    7. Andrew B. Bernard & J. Bradford Jensen & Stephen J. Redding & Peter K. Schott, 2007. "Firms in International Trade," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 105-130, Summer.
    8. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2011. "Structural estimation and solution of international trade models with heterogeneous firms," Journal of International Economics, Elsevier, vol. 83(2), pages 95-108, March.
    9. Christian Broda & David E. Weinstein, 2006. "Globalization and the Gains From Variety," The Quarterly Journal of Economics, Oxford University Press, vol. 121(2), pages 541-585.
    10. 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.
    11. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    12. Ilke Van Beveren, 2012. "Total Factor Productivity Estimation: A Practical Review," Journal of Economic Surveys, Wiley Blackwell, vol. 26(1), pages 98-128, February.
    13. Hertel, Thomas & Hummels, David & Ivanic, Maros & Keeney, Roman, 2007. "How confident can we be of CGE-based assessments of Free Trade Agreements?," Economic Modelling, Elsevier, vol. 24(4), pages 611-635, July.
    14. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    15. Jonathan Eaton & Samuel Kortum & Francis Kramarz, 2011. "An Anatomy of International Trade: Evidence From French Firms," Econometrica, Econometric Society, vol. 79(5), pages 1453-1498, September.
    16. Joachim Wagner, 2016. "Exports and Productivity: A Survey of the Evidence from Firm Level Data," World Scientific Book Chapters, in: Microeconometrics of International Trade, chapter 1, pages 3-41, World Scientific Publishing Co. Pte. Ltd..
    17. Giulio Bottazzi & Davide Pirino & Federico Tamagni, 2015. "Zipf law and the firm size distribution: a critical discussion of popular estimators," Journal of Evolutionary Economics, Springer, vol. 25(3), pages 585-610, July.
    18. Matthieu Crozet & Pamina Koenig, 2010. "Structural gravity equations with intensive and extensive margins," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(1), pages 41-62, February.
    19. Balistreri, Edward J. & Rutherford, Thomas F., 2013. "Computing General Equilibrium Theories of Monopolistic Competition and Heterogeneous Firms," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1513-1570, Elsevier.
    20. Ackerberg, Daniel & Lanier Benkard, C. & Berry, Steven & Pakes, Ariel, 2007. "Econometric Tools for Analyzing Market Outcomes," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 63, Elsevier.
    21. Alan Spearot, 2016. "Unpacking the Long-Run Effects of Tariff Shocks: New Structural Implications from Firm Heterogeneity Models," American Economic Journal: Microeconomics, American Economic Association, vol. 8(2), pages 128-167, May.
    22. Kazunobu Hayakawa & Tomohiro Machikita & Fukunari Kimura, 2012. "Globalization And Productivity: A Survey Of Firm‐Level Analysis," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 332-350, April.
    23. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    24. Segarra, Agustí & Teruel, Mercedes, 2012. "An appraisal of firm size distribution: Does sample size matter?," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 314-328.
    25. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    26. Mahmut Yasar & Rafal Raciborski & Brian Poi, 2008. "Production function estimation in Stata using the Olley and Pakes method," Stata Journal, StataCorp LP, vol. 8(2), pages 221-231, June.
    27. repec:hal:spmain:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    28. Chad Syverson, 2004. "Product Substitutability and Productivity Dispersion," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 534-550, May.
    29. Zeynep Akgul & Nelson B Villoria & Thomas W Hertel, 2016. "GTAP-HET: Introducing Firm Heterogeneity into the GTAP Model," Journal of Global Economic Analysis, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University, vol. 1(1), pages 111-180, June.
    30. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    31. Zhai, Fan, 2008. "Armington Meets Melitz: Introducing Firm Heterogeneity in a Global CGE Model of Trade," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 23, pages 575-604.
    32. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    33. Michael Waugh & Ina Simonovska, 2012. "Different Trade Models, Different Trade Elasticities?," 2012 Meeting Papers 618, Society for Economic Dynamics.
    34. D’Artis Kancs, 2010. "Structural Estimation of Variety Gains from Trade Integration in Asia," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 43(3), pages 270-288, September.
    35. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," SciencePo Working papers hal-03579844, HAL.
    36. David Greenaway & Richard Kneller, 2007. "Firm heterogeneity, exporting and foreign direct investment," Economic Journal, Royal Economic Society, vol. 117(517), pages 134-161, February.
    37. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," Post-Print hal-03579844, HAL.
    38. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," SciencePo Working papers Main hal-03579844, HAL.
    39. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 317-341.
    40. Hillberry, Russell & Hummels, David, 2013. "Trade Elasticity Parameters for a Computable General Equilibrium Model," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1213-1269, Elsevier.
    41. Wooldridge, Jeffrey M., 2009. "On estimating firm-level production functions using proxy variables to control for unobservables," Economics Letters, Elsevier, vol. 104(3), pages 112-114, September.
    42. Peter N. Gal, 2013. "Measuring Total Factor Productivity at the Firm Level using OECD-ORBIS," OECD Economics Department Working Papers 1049, OECD Publishing.
    43. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
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    Cited by:

    1. Oliveira, Paulo Felipe & Cordeiro, Pedro Antero, 2023. "Trade policy analysis in Brazil: Assessing welfare impacts with revised Armington elasticities," Economic Modelling, Elsevier, vol. 129(C).

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