IDEAS home Printed from https://ideas.repec.org/p/sur/surrec/0125.html
   My bibliography  Save this paper

The Tails of Gravity: Using Expectiles to Quantify the Trade-Margins Effects of Economic Integration Agreements

Author

Listed:
  • Jeffrey H. Bergstrand

    (University of Notre Dame)

  • Matthew W. Clance

    (University of Pretoria)

  • Joao M.C. Santos Silva

    (University of Surrey)

Abstract

Economic integration agreements (EIAs) can have substantial welfare effects, but there is now considerable evidence suggesting that these effects can be very heterogeneous. However, most studies neglect this heterogeneity and simply estimate the coefficient of a single EIA dummy on the conditional mean of bilateral trade flows. We propose the novel use of Poisson-based expectile regressions to estimate the heterogeneous effects of EIAs across the entire conditional distribution. Like standard Poisson regression, this method does not need the dependent variable to be logged, accommodates observations at zero, and is easy to implement. Using the proposed estimator, we find systematic evidence that agreements have larger effects at the lower tail of the conditional distribution. Additionally, we use the method to investigate the causes of heterogeneity. Our results suggest that the success of trade liberalizations strongly depends on potential for expansions along the extensive margin. For instance, at the 10th conditional expectile, the estimated partial equilibrium effects of EIAs for country-pairs with large potential for expansion at the extensive margin is over six times larger than that of country-pairs with small potential.

Suggested Citation

  • Jeffrey H. Bergstrand & Matthew W. Clance & Joao M.C. Santos Silva, 2025. "The Tails of Gravity: Using Expectiles to Quantify the Trade-Margins Effects of Economic Integration Agreements," School of Economics Discussion Papers 0125, School of Economics, University of Surrey.
  • Handle: RePEc:sur:surrec:0125
    as

    Download full text from publisher

    File URL: https://repec.som.surrey.ac.uk/2025/DP01-25.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    2. Novy, Dennis, 2013. "International trade without CES: Estimating translog gravity," Journal of International Economics, Elsevier, vol. 89(2), pages 271-282.
    3. Maria Persson, 2013. "Trade facilitation and the extensive margin," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 22(5), pages 658-693, August.
    4. Breinlich, Holger & Corradi, Valentina & Rocha, Nadia & Ruta, Michele & Silva, J.M.C. Santos & Zylkin, Tom, 2021. "Machine learning in international trade research - evaluating the impact of trade agreements," LSE Research Online Documents on Economics 114379, London School of Economics and Political Science, LSE Library.
    5. 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.
    6. Harald Oberhofer & Michael Pfaffermayr, 2021. "Estimating the trade and welfare effects of Brexit: A panel data structural gravity model," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(1), pages 338-375, February.
    7. Hillberry, Russell H. & McDaniel, Christine A., 2002. "A Decomposition of North American Trade Growth since NAFTA," Working Papers 15866, United States International Trade Commission, Office of Economics.
    8. Yotov, Yoto V., 2012. "A simple solution to the distance puzzle in international trade," Economics Letters, Elsevier, vol. 117(3), pages 794-798.
    9. Abrevaya, Jason & Dahl, Christian M, 2008. "The Effects of Birth Inputs on Birthweight," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 379-397.
    10. Marc J. Melitz & Stephen J. Redding, 2015. "New Trade Models, New Welfare Implications," American Economic Review, American Economic Association, vol. 105(3), pages 1105-1146, March.
    11. repec:lic:licosd:25810 is not listed on IDEAS
    12. Baier, Scott L. & Yotov, Yoto V. & Zylkin, Thomas, 2019. "On the widely differing effects of free trade agreements: Lessons from twenty years of trade integration," Journal of International Economics, Elsevier, vol. 116(C), pages 206-226.
    13. Martina Lawless, 2010. "Deconstructing gravity: trade costs and extensive and intensive margins," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(4), pages 1149-1172, November.
    14. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    15. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    16. repec:hal:spmain:info:hdl:2441/nki2gcedn93280ns6fslbhdnm is not listed on IDEAS
    17. Baier, Scott L. & Bergstrand, Jeffrey H., 2007. "Do free trade agreements actually increase members' international trade?," Journal of International Economics, Elsevier, vol. 71(1), pages 72-95, March.
    18. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    19. repec:spo:wpmain:info:hdl:2441/nki2gcedn93280ns6fslbhdnm is not listed on IDEAS
    20. Baier, Scott L. & Bergstrand, Jeffrey H., 2001. "The growth of world trade: tariffs, transport costs, and income similarity," Journal of International Economics, Elsevier, vol. 53(1), pages 1-27, February.
    21. Mario Larch & Serge Shikher & Yoto V. Yotov, 2025. "Estimating Gravity Equations: Theory Implications, Econometric Developments, and Practical Recommendations," Review of International Economics, Wiley Blackwell, vol. 33(5), pages 1066-1092, November.
    22. 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.
    23. Natalie Chen & Dennis Novy, 2022. "Gravity and Heterogeneous Trade Cost Elasticities," The Economic Journal, Royal Economic Society, vol. 132(644), pages 1349-1377.
    24. 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.
    25. Bas, Maria & Mayer, Thierry & Thoenig, Mathias, 2017. "From micro to macro: Demand, supply, and heterogeneity in the trade elasticity," Journal of International Economics, Elsevier, vol. 108(C), pages 1-19.
    26. Timothy J. Kehoe & Kim J. Ruhl, 2013. "How Important Is the New Goods Margin in International Trade?," Journal of Political Economy, University of Chicago Press, vol. 121(2), pages 358-392.
    27. Swati Dhingra & Hanwei Huang & Gianmarco Ottaviano & João Paulo Pessoa & Thomas Sampson & John Van Reenen, 2017. "The costs and benefits of leaving the EU: trade effects," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 32(92), pages 651-705.
    28. repec:spo:wpmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    29. Bergstrand, Jeffrey H. & Larch, Mario & Yotov, Yoto V., 2015. "Economic integration agreements, border effects, and distance elasticities in the gravity equation," European Economic Review, Elsevier, vol. 78(C), pages 307-327.
    30. Maddalena Conte & Pierre Cotterlaz & Thierry Mayer, 2022. "The CEPII Gravity Database," Working Papers 2022-05, CEPII research center.
    31. Bergstrand, Jeffrey H, 1989. "The Generalized Gravity Equation, Monopolistic Competition, and the Factor-Proportions Theory in International Trade," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 143-153, February.
    32. repec:hal:spmain:info:hdl:2441/2j87pv5ou185f980qgrpf9net0 is not listed on IDEAS
    33. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    34. 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.
    35. Dhingra, Swati & Freeman, Rebecca & Mavroeidi, Eleonora, 2018. "Beyond tariff reductions: what extra boost from trade agreement provisions?," LSE Research Online Documents on Economics 88683, London School of Economics and Political Science, LSE Library.
    36. Céline Carrère & Monika Mrázová & J Peter Neary, 2020. "Gravity Without Apology: the Science of Elasticities, Distance and Trade," The Economic Journal, Royal Economic Society, vol. 130(628), pages 880-910.
    37. Baier, Scott L. & Bergstrand, Jeffrey H. & Clance, Matthew W., 2018. "Heterogeneous effects of economic integration agreements," Journal of Development Economics, Elsevier, vol. 135(C), pages 587-608.
    38. Graham Gudgin & Ken Coutts & Neil Gibson & Jordan Buchanan, 2017. "The Role of Gravity Models in Estimating the Economic Impact of Brexit," GEE Papers 0077, Gabinete de Estratégia e Estudos, Ministério da Economia, revised Aug 2017.
    39. Campos, Rodolfo G. & Timini, Jacopo & Vidal, Elena, 2021. "Structural gravity and trade agreements: Does the measurement of domestic trade matter?," Economics Letters, Elsevier, vol. 208(C).
    40. Jeffrey H. Bergstrand & Matthew W. Clance, 2025. "Quantile Gravity: Economic Integration Agreements, Least Traded Goods, and Less Developed Economies," Review of International Economics, Wiley Blackwell, vol. 33(4), pages 951-987, September.
    41. Wyatt J. Brooks & Pau S. Pujolas, 2019. "Gains From Trade With Variable Trade Elasticities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(4), pages 1619-1646, November.
    42. Badi Baltagi & Peter Egger, 2016. "Estimation of structural gravity quantile regression models," Empirical Economics, Springer, vol. 50(1), pages 5-15, February.
    43. Collin Philipps, 2022. "Interpreting Expectiles," Working Papers 2022-01, Department of Economics and Geosciences, US Air Force Academy.
    44. Machado, José A.F. & Santos Silva, J.M.C., 2019. "Quantiles via moments," Journal of Econometrics, Elsevier, vol. 213(1), pages 145-173.
    45. Dutt, Pushan & Mihov, Ilian & Van Zandt, Timothy, 2013. "The effect of WTO on the extensive and the intensive margins of trade," Journal of International Economics, Elsevier, vol. 91(2), pages 204-219.
    46. Moshe Buchinsky & Jinyong Hahn, 1998. "An Alternative Estimator for the Censored Quantile Regression Model," Econometrica, Econometric Society, vol. 66(3), pages 653-672, May.
    47. Neary, Peter & Carrère, Céline & Mrázová, Monika, 2020. "Gravity without Apologies: The Science of Elasticities, Distance, and Trade," CEPR Discussion Papers 14473, C.E.P.R. Discussion Papers.
    48. Yoto V. Yotov, 2022. "On the role of domestic trade flows for estimating the gravity model of trade," Contemporary Economic Policy, Western Economic Association International, vol. 40(3), pages 526-540, July.
    49. Machado, José A.F. & Santos Silva, J.M.C. & Wei, Kehai, 2016. "Quantiles, corners, and the extensive margin of trade," European Economic Review, Elsevier, vol. 89(C), pages 73-84.
    50. Chesher, Andrew & Peters, Simon, 1994. "Symmetry, Regression Design, and Sampling Distributions," Econometric Theory, Cambridge University Press, vol. 10(1), pages 116-129, March.
    51. Chesher, Andrew, 1995. "A Mirror Image Invariance for M-Estimators," Econometrica, Econometric Society, vol. 63(1), pages 207-211, January.
    52. Antonio F. Galvao & Carlos Lamarche & Luiz Renato Lima, 2013. "Estimation of Censored Quantile Regression for Panel Data With Fixed Effects," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(503), pages 1075-1089, September.
    53. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    54. Bergstrand, Jeffrey H, 1985. "The Gravity Equation in International Trade: Some Microeconomic Foundations and Empirical Evidence," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 474-481, August.
    55. Baier, Scott L. & Bergstrand, Jeffrey H. & Feng, Michael, 2014. "Economic integration agreements and the margins of international trade," Journal of International Economics, Elsevier, vol. 93(2), pages 339-350.
    56. Koenker, Roger, 1992. "When Are Expectiles Percentiles?," Econometric Theory, Cambridge University Press, vol. 8(03), pages 423-424, September.
    57. Bergstrand, Jeffrey H, 1990. "The Heckscher-Ohlin-Samuelson Model, the Linder Hypothesis and the Determinants of Bilateral Intra-industry Trade," Economic Journal, Royal Economic Society, vol. 100(403), pages 1216-1229, December.
    58. Lancaster, Tony, 2000. "The incidental parameter problem since 1948," Journal of Econometrics, Elsevier, vol. 95(2), pages 391-413, April.
    59. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    60. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    61. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," SciencePo Working papers hal-03579844, HAL.
    62. Spearot, Alan C., 2013. "Variable demand elasticities and tariff liberalization," Journal of International Economics, Elsevier, vol. 89(1), pages 26-41.
    63. David Hummels & Peter J. Klenow, 2005. "The Variety and Quality of a Nation's Exports," American Economic Review, American Economic Association, vol. 95(3), pages 704-723, June.
    64. Bas, Maria & Mayer, Thierry & Thoenig, Mathias, 2017. "From micro to macro: Demand, supply, and heterogeneity in the trade elasticity," Journal of International Economics, Elsevier, vol. 108(C), pages 1-19.
    65. Erik Figueiredo & Luiz Lima & Georg Schaur, 2016. "The effect of the Euro on the bilateral trade distribution," Empirical Economics, Springer, vol. 50(1), pages 17-29, February.
    66. Koenker, Roger, 1993. "When are Expectiles Percentiles?," Econometric Theory, Cambridge University Press, vol. 9(03), pages 526-527, June.
    67. Newey, Whitney K & Powell, James L, 1987. "Asymmetric Least Squares Estimation and Testing," Econometrica, Econometric Society, vol. 55(4), pages 819-847, July.
    68. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
    69. Hong H. & Chernozhukov V., 2002. "Three-Step Censored Quantile Regression and Extramarital Affairs," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 872-882, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jeffrey H. Bergstrand & Matthew W. Clance & Joao Santos Silva, 2025. "Poisson-based expectile regression for nonnegative data with a mass point at zero," UK Stata Conference 2025 11, Stata Users Group.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yoto V. Yotov, 2024. "The evolution of structural gravity: The workhorse model of trade," Contemporary Economic Policy, Western Economic Association International, vol. 42(4), pages 578-603, October.
    2. Scott L. Baier & Amanda Kerr & Yoto V. Yotov, 2018. "Gravity, distance, and international trade," Chapters, in: Bruce A. Blonigen & Wesley W. Wilson (ed.), Handbook of International Trade and Transportation, chapter 2, pages 15-78, Edward Elgar Publishing.
    3. Anderson, James E. & Yotov, Yoto V., 2020. "Short run gravity," Journal of International Economics, Elsevier, vol. 126(C).
    4. Katharina Längle, 2020. "Upgrading of Exports: Does the Integration into Trade Agreements Pave the Way to Product Upgrading?," Documents de travail du Centre d'Economie de la Sorbonne 20006, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    5. Jung, Benjamin, 2022. "The Trade Effects of the EU-South Korea Free Trade Agreement: Heterogeneity across Time, Country Pairs, and Directions of Trade within Country Pairs," VfS Annual Conference 2022 (Basel): Big Data in Economics 264125, Verein für Socialpolitik / German Economic Association.
    6. Bergstrand, Jeffrey H. & Cray, Stephen R. & Gervais, Antoine, 2023. "Increasing marginal costs, firm heterogeneity, and the gains from “deep” international trade agreements," Journal of International Economics, Elsevier, vol. 144(C).
    7. Mario Larch & Yoto V. Yotov, 2024. "Estimating the effects of trade agreements: Lessons from 60 years of methods and data," The World Economy, Wiley Blackwell, vol. 47(5), pages 1771-1799, May.
    8. Heid, Benedikt & Stähler, Frank, 2024. "Structural gravity and the gains from trade under imperfect competition: Quantifying the effects of the European Single Market," Economic Modelling, Elsevier, vol. 131(C).
    9. Katharina Längle, 2020. "Upgrading of Exports: Does the Integration into Trade Agreements Pave the Way to Product Upgrading?," Working Papers hal-02548689, HAL.
    10. Katharina Längle, 2020. "Upgrading of Exports: Does the Integration into Trade Agreements Pave the Way to Product Upgrading?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02548689, HAL.
    11. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    12. Harald Oberhofer & Zhenyi Wang, 2025. "Everything You Always Wanted to Know About EU Membership Trade Effects But Were Afraid to Ask," CESifo Working Paper Series 11823, CESifo.
    13. Baier, Scott L. & Yotov, Yoto V. & Zylkin, Thomas, 2019. "On the widely differing effects of free trade agreements: Lessons from twenty years of trade integration," Journal of International Economics, Elsevier, vol. 116(C), pages 206-226.
    14. Natalie Chen & Dennis Novy, 2022. "Gravity and Heterogeneous Trade Cost Elasticities," The Economic Journal, Royal Economic Society, vol. 132(644), pages 1349-1377.
    15. Katharina Längle, 2020. "Upgrading of Exports: Does the Integration into Trade Agreements Pave the Way to Product Upgrading?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02899973, HAL.
    16. Baier, Scott L. & Bergstrand, Jeffrey H. & Clance, Matthew W., 2018. "Heterogeneous effects of economic integration agreements," Journal of Development Economics, Elsevier, vol. 135(C), pages 587-608.
    17. Katharina Längle, 2020. "Upgrading of Exports: Does the Integration into Trade Agreements Pave the Way to Product Upgrading?," Post-Print halshs-02899973, HAL.
    18. Adu, Raymond & Litsios, Ioannis & Baimbridge, Mark, 2022. "ECOWAS single currency: Prospective effects on trade," Journal of International Money and Finance, Elsevier, vol. 126(C).
    19. Jeffrey H. Bergstrand & Stephen R. Cray & Antoine Gervais, 2023. "Increasing Marginal Costs, Firm Heterogeneity,and the Gains from "Deep" International Trade Agreements," Cahiers de recherche 23-01, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    20. Peter Egger & Reto Foellmi & Ulrich Schetter & David Torun, 2023. "Gravity with History: On Incumbency Effects in International Trade," Growth Lab Working Papers 219, Harvard's Growth Lab.

    More about this item

    JEL classification:

    • F1 - International Economics - - Trade
    • F13 - International Economics - - Trade - - - Trade Policy; International Trade Organizations
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • F15 - International Economics - - Trade - - - Economic Integration
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sur:surrec:0125. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ioannis Lazopoulos (email available below). General contact details of provider: https://edirc.repec.org/data/desuruk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.