IDEAS home Printed from https://ideas.repec.org/p/hal/spmain/hal-01114776.html
   My bibliography  Save this paper

Two-way models for gravity

Author

Listed:
  • Koen Jochmans

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

Empirical models for panel data frequently feature fixed effects in both directions of the panel. Settings where this is prevalent include student-teacher interaction, the allocation of workers to firms, and the import-export flows between countries. Estimation of such fixed-effect models is difficult. We derive moment conditions for models with multiplicative unobservables and fixed effects and use them to set up generalized method of moments estimators that have good statistical properties. We estimate a gravity equation with multilateral resistance terms as an application of our methods.

Suggested Citation

  • Koen Jochmans, 2015. "Two-way models for gravity," SciencePo Working papers Main hal-01114776, HAL.
  • Handle: RePEc:hal:spmain:hal-01114776
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-01114776
    as

    Download full text from publisher

    File URL: https://sciencespo.hal.science/hal-01114776/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fernández-Val, Iván & Weidner, Martin, 2016. "Individual and time effects in nonlinear panel models with large N, T," Journal of Econometrics, Elsevier, vol. 192(1), pages 291-312.
    2. William Greene, 2004. "The behaviour of the maximum likelihood estimator of limited dependent variable models in the presence of fixed effects," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 98-119, June.
    3. Iván Fernández‐Val & Joonhwah Lee, 2013. "Panel data models with nonadditive unobserved heterogeneity: Estimation and inference," Quantitative Economics, Econometric Society, vol. 4(3), pages 453-481, November.
    4. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    5. Wooldridge, Jeffrey M., 1997. "Multiplicative Panel Data Models Without the Strict Exogeneity Assumption," Econometric Theory, Cambridge University Press, vol. 13(5), pages 667-678, October.
    6. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, July.
    7. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    8. M. J. Andrews & L. Gill & T. Schank & R. Upward, 2008. "High wage workers and low wage firms: negative assortative matching or limited mobility bias?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(3), pages 673-697, June.
    9. James J. Heckman & Thomas E. Macurdy, 1980. "A Life Cycle Model of Female Labour Supply," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 47-74.
    10. 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.
    11. 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.
    12. Guimaraes, Paulo & Portugal, Pedro, 2009. "A Simple Feasible Alternative Procedure to Estimate Models with High-Dimensional Fixed Effects," IZA Discussion Papers 3935, Institute of Labor Economics (IZA).
    13. Donald, Stephen G. & Imbens, Guido W. & Newey, Whitney K., 2003. "Empirical likelihood estimation and consistent tests with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 117(1), pages 55-93, November.
    14. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
    15. Daniel Aaronson & Lisa Barrow & William Sander, 2007. "Teachers and Student Achievement in the Chicago Public High Schools," Journal of Labor Economics, University of Chicago Press, vol. 25(1), pages 95-135.
    16. repec:hal:wpspec:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    17. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09ij4j0h0h1 is not listed on IDEAS
    18. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    19. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS
    20. 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.
    21. Chamberlain, Gary, 1987. "Asymptotic efficiency in estimation with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 34(3), pages 305-334, March.
    22. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
    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. Luis E. Candelaria, 2020. "A Semiparametric Network Formation Model with Unobserved Linear Heterogeneity," Papers 2007.05403, arXiv.org, revised Aug 2020.
    2. Hugo Rojas-Romagosa & Johannes Bollen, 2018. "Estimating migration changes from the EU’s free movement of people principle," CPB Discussion Paper 385.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    3. Candelaria, Luis E., 2020. "A Semiparametric Network Formation Model with Unobserved Linear Heterogeneity," The Warwick Economics Research Paper Series (TWERPS) 1279, University of Warwick, Department of Economics.
    4. Martin,William J., 2020. "Making Gravity Great Again," Policy Research Working Paper Series 9391, The World Bank.
    5. Jules Hugot & Camilo Umana Dajud, 2016. "Trade costs and the Suez and Panama Canals," Working Papers 2016-29, CEPII research center.
    6. Chen, Mingli & Fernández-Val, Iván & Weidner, Martin, 2021. "Nonlinear factor models for network and panel data," Journal of Econometrics, Elsevier, vol. 220(2), pages 296-324.
    7. Jochmans, Koen, 2022. "Bias in instrumental-variable estimators of fixed-effect models for count data," Economics Letters, Elsevier, vol. 212(C).
    8. Giorgio Fagiolo & Tommaso Rughi, 2023. "Exploring the Macroeconomic Drivers of International Bilateral Remittance Flows: A Gravity-Model Approach," Economies, MDPI, vol. 11(7), pages 1-27, July.
    9. Douadia Bougherara & Laurent Piet, 2018. "On the role of probability weighting on WTP for crop insurance with and without yield skewness," Working Papers hal-02790605, HAL.
    10. Koen Jochmans & Vincenzo Verardi, 2022. "Instrumental‐variable estimation of exponential‐regression models with two‐way fixed effects with an application to gravity equations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(6), pages 1121-1137, September.
    11. Pfaffermayr, Michael, 2021. "Confidence intervals for the trade cost parameters of cross-section gravity models," Economics Letters, Elsevier, vol. 201(C).
    12. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    13. 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.
    14. Lockwood, Ben & Porcelli, Francesco & Redoano, Michela & Schiavone, Antonio, 2022. "Yardstick Competition in the Digital Age : Unveiling New Networks in Tax Competition," The Warwick Economics Research Paper Series (TWERPS) 1438, University of Warwick, Department of Economics.
    15. J. M. C. Santos Silva & Silvana Tenreyro, 2022. "The Log of Gravity at 15," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 423-437, September.
    16. Juodis, Artūras & Sarafidis, Vasilis, 2022. "An incidental parameters free inference approach for panels with common shocks," Journal of Econometrics, Elsevier, vol. 229(1), pages 19-54.
    17. Choi Nakgyoon, 2018. "Economic Effects of Anti-Dumping Duties: Protectionist Measures or Trade Remedies?," Working Papers id:12447, eSocialSciences.
    18. Jochmans, K. & Verardi, V., 2019. "twexp and twgravity: Estimating exponential regression models with two-way fixed effects," Cambridge Working Papers in Economics 1945, Faculty of Economics, University of Cambridge.
    19. Camilo Umana Dajud, 2016. "Do Visas Hinder International Trade in Goods?," Working Papers 2016-30, CEPII research center.
    20. Pfaffermayr, Michael, 2020. "Constrained Poisson pseudo maximum likelihood estimation of structural gravity models," International Economics, Elsevier, vol. 161(C), pages 188-198.
    21. Jochmans, K. & Verardi, V., 2019. "Instrumental-Variable Estimation of Gravity Equations," Cambridge Working Papers in Economics 1994, Faculty of Economics, University of Cambridge.
    22. Carter, Colin A. & Steinbach, Sandro & Zhuang, Xiting, 2022. "Global Shipping Container Disruptions and U.S. Agricultural Exports," Working Papers 320397, International Agricultural Trade Research Consortium.
    23. Ohyun Kwon & Jangsu Yoon & Yoto V. Yotov, 2022. "A Generalized Poisson-Pseudo Maximum Likelihood Estimator," CESifo Working Paper Series 10145, CESifo.
    24. Hugo Rojas-Romagosa & Johannes Bollen, 2018. "Estimating migration changes from the EU’s free movement of people principle," CPB Discussion Paper 385, CPB Netherlands Bureau for Economic Policy Analysis.
    25. Carter, Colin A. & Steinbach, Sandro & Zhuang, Xiting, 2022. "Global Container Trade Disruptions and U.S. Agricultural Exports," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322364, Agricultural and Applied Economics Association.

    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. repec:hal:spmain:info:hdl:2441/75dbbb2hc596np6q8flqf6i79k is not listed on IDEAS
    2. repec:hal:wpspec:info:hdl:2441/75dbbb2hc596np6q8flqf6i79k is not listed on IDEAS
    3. repec:spo:wpecon:info:hdl:2441/75dbbb2hc596np6q8flqf6i79k is not listed on IDEAS
    4. repec:spo:wpmain:info:hdl:2441/75dbbb2hc596np6q8flqf6i79k is not listed on IDEAS
    5. Karyne B. Charbonneau, 2014. "Multiple Fixed Effects in Binary Response Panel Data Models," Staff Working Papers 14-17, Bank of Canada.
    6. Kareem, Fatima Olanike & Martinez-Zarzoso, Inmaculada & Brümmer, Bernhard, 2016. "Fitting the Gravity Model when Zero Trade Flows are Frequent: a Comparison of Estimation Techniques using Africa's Trade Data," GlobalFood Discussion Papers 230588, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.
    7. Geert Dhaene & Koen Jochmans, 2015. "Split-panel Jackknife Estimation of Fixed-effect Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 991-1030.
    8. Koen Jochmans & Vincenzo Verardi, 2022. "Instrumental‐variable estimation of exponential‐regression models with two‐way fixed effects with an application to gravity equations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(6), pages 1121-1137, September.
    9. 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.
    10. J. M. C. Santos Silva & Silvana Tenreyro, 2022. "The Log of Gravity at 15," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 423-437, September.
    11. Fally, Thibault, 2015. "Structural gravity and fixed effects," Journal of International Economics, Elsevier, vol. 97(1), pages 76-85.
    12. Chen, Mingli & Fernández-Val, Iván & Weidner, Martin, 2021. "Nonlinear factor models for network and panel data," Journal of Econometrics, Elsevier, vol. 220(2), pages 296-324.
    13. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    14. repec:hal:spmain:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    15. Mario Larch & Yoto V. Yotov, 2016. "General Equilibrium Trade Policy Analysis with Structural Gravity," CESifo Working Paper Series 6020, CESifo.
    16. repec:spo:wpecon:info:hdl:2441/2etjsneok98utpcm5s44jn4dlh is not listed on IDEAS
    17. repec:spo:wpmain:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    18. French, Scott, 2016. "The composition of trade flows and the aggregate effects of trade barriers," Journal of International Economics, Elsevier, vol. 98(C), pages 114-137.
    19. repec:hal:spmain:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    20. repec:hal:wpspec:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    21. repec:spo:wpecon:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    22. repec:spo:wpmain:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    23. repec:hal:spmain:info:hdl:2441/2etjsneok98utpcm5s44jn4dlh is not listed on IDEAS
    24. repec:spo:wpecon:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    25. repec:hal:wpspec:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    26. repec:hal:wpspec:info:hdl:2441/2etjsneok98utpcm5s44jn4dlh is not listed on IDEAS
    27. repec:spo:wpmain:info:hdl:2441/2etjsneok98utpcm5s44jn4dlh is not listed on IDEAS
    28. Iván Fernández-Val & Martin Weidner, 2018. "Fixed Effects Estimation of Large-TPanel Data Models," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 109-138, August.
    29. Markus Brueckner & Ngo Van Long & Joaquin L. Vespignani, 2020. "Non-Gravity Trade," Globalization Institute Working Papers 388, Federal Reserve Bank of Dallas.
    30. Schaak, Henning, 2015. "The Impact of Free Trade Agreements on International Agricultural Trade: A Gravity Application on the Dairy Product Trade and the ASEAN-China-FTA," 55th Annual Conference, Giessen, Germany, September 23-25, 2015 211619, German Association of Agricultural Economists (GEWISOLA).
    31. Maria Cipollina & Luca De Benedictis & Luca Salvatici & Claudio Vicarelli, 2016. "Policy Measurement And Multilateral Resistance In Gravity Models," Working Papers LuissLab 16130, Dipartimento di Economia e Finanza, LUISS Guido Carli.
    32. Thomas Chaney, 2018. "The Gravity Equation in International Trade: An Explanation," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 150-177.
    33. Martin, Will, 2020. "Making Gravity Great Again," 2020: Economic Implications of COVID-19, December 14-15, Virtual Platform 339376, International Agricultural Trade Research Consortium.
    34. Anderson, James E. & Yotov, Yoto V., 2020. "Short run gravity," Journal of International Economics, Elsevier, vol. 126(C).
    35. Benedikt Heid & Mario Larch & Yoto V. Yotov, 2021. "Estimating the effects of non‐discriminatory trade policies within structural gravity models," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(1), pages 376-409, February.
    36. Anderson, James E. & Borchert, Ingo & Mattoo, Aaditya & Yotov, Yoto V., 2018. "Dark costs, missing data: Shedding some light on services trade," European Economic Review, Elsevier, vol. 105(C), pages 193-214.

    More about this item

    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:hal:spmain:hal-01114776. 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: Contact - Sciences Po Departement of Economics (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.