IDEAS home Printed from https://ideas.repec.org/p/spo/wpmain/infohdl2441-75dbbb2hc596np6q8flqf6i79k.html
   My bibliography  Save this paper

Two-way models for gravity

Author

Listed:
  • Koen Jochmans

    (Département d'économie (ECON))

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," Sciences Po publications info:hdl:2441/75dbbb2hc59, Sciences Po.
  • Handle: RePEc:spo:wpmain:info:hdl:2441/75dbbb2hc596np6q8flqf6i79k
    as

    Download full text from publisher

    File URL: https://spire.sciencespo.fr/hdl:/2441/75dbbb2hc596np6q8flqf6i79k/resources/2015-03.pdf
    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. Geert Dhaene & Koen Jochmans, 2015. "Split-panel Jackknife Estimation of Fixed-effect Models," Review of Economic Studies, Oxford University Press, vol. 82(3), pages 991-1030.
    3. 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.
    4. 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.
    5. 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.
    6. Bryan S. Graham, 2014. "An econometric model of link formation with degree heterogeneity," NBER Working Papers 20341, National Bureau of Economic Research, Inc.
    7. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    8. 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.
    9. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, July.
    10. 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.
    11. 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.
    12. James J. Heckman & Thomas E. Macurdy, 1980. "A Life Cycle Model of Female Labour Supply," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 47-74.
    13. 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.
    14. 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.
    15. 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).
    16. 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.
    17. 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.
    18. repec:hal:spmain:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    19. 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.
    20. 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.
    21. Chamberlain, Gary, 1992. "Sequential Moment Restrictions in Panel Data: Comment," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 20-26, January.
    22. 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.
    23. repec:hal:wpspec:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    24. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09ij4j0h0h1 is not listed on IDEAS
    25. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, October.
    26. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 225-238.
    27. B. Prakasa Rao, 2009. "Conditional independence, conditional mixing and conditional association," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(2), pages 441-460, June.
    28. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS
    29. 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.
    30. Chamberlain, Gary, 1987. "Asymptotic efficiency in estimation with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 34(3), pages 305-334, March.
    31. 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. 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.
    3. Jules Hugot & Camilo Umana Dajud, 2016. "Trade costs and the Suez and Panama Canals," Working Papers 2016-29, CEPII research center.
    4. 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.
    5. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    6. 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.
    7. 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.
    8. Jochmans, Koen, 2022. "Bias in instrumental-variable estimators of fixed-effect models for count data," Economics Letters, Elsevier, vol. 212(C).
    9. 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.
    10. 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.
    11. 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.
    12. Ohyun Kwon & Jangsu Yoon & Yoto V. Yotov, 2022. "A Generalized Poisson-Pseudo Maximum Likelihood Estimator," CESifo Working Paper Series 10145, CESifo.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Pfaffermayr, Michael, 2021. "Confidence intervals for the trade cost parameters of cross-section gravity models," Economics Letters, Elsevier, vol. 201(C).
    18. Larch, Mario & Yotov, Yoto, 2023. "Estimating the Effects of Trade Agreements: Lessons From 60 Years of Methods and Data," School of Economics Working Paper Series 2023-4, LeBow College of Business, Drexel University.
    19. 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.
    20. Choi Nakgyoon, 2018. "Economic Effects of Anti-Dumping Duties: Protectionist Measures or Trade Remedies?," Working Papers id:12447, eSocialSciences.
    21. Martin,William J., 2020. "Making Gravity Great Again," Policy Research Working Paper Series 9391, The World Bank.
    22. Camilo Umana Dajud, 2016. "Do Visas Hinder International Trade in Goods?," Working Papers 2016-30, CEPII research center.
    23. Jochmans, K. & Verardi, V., 2019. "Instrumental-Variable Estimation of Gravity Equations," Cambridge Working Papers in Economics 1994, Faculty of Economics, University of Cambridge.
    24. 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.
    25. Pfaffermayr, Michael, 2020. "Constrained Poisson pseudo maximum likelihood estimation of structural gravity models," International Economics, Elsevier, vol. 161(C), pages 188-198.

    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:hal:spmain:info:hdl:2441/2etjsneok98utpcm5s44jn4dlh is not listed on IDEAS
    4. repec:hal:wpspec:info:hdl:2441/2etjsneok98utpcm5s44jn4dlh is not listed on IDEAS
    5. 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.
    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. 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.
    8. Fally, Thibault, 2015. "Structural gravity and fixed effects," Journal of International Economics, Elsevier, vol. 97(1), pages 76-85.
    9. 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.
    10. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    11. repec:hal:spmain:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    12. 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.
    13. repec:hal:wpspec:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    14. Karyne B. Charbonneau, 2014. "Multiple Fixed Effects in Binary Response Panel Data Models," Staff Working Papers 14-17, Bank of Canada.
    15. Geert Dhaene & Koen Jochmans, 2015. "Split-panel Jackknife Estimation of Fixed-effect Models," Review of Economic Studies, Oxford University Press, vol. 82(3), pages 991-1030.
    16. 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.
    17. Martin,William J., 2020. "Making Gravity Great Again," Policy Research Working Paper Series 9391, The World Bank.
    18. Anderson, James E. & Yotov, Yoto V., 2020. "Short run gravity," Journal of International Economics, Elsevier, vol. 126(C).
    19. 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.
    20. Victor Chernozhukov & Ivan Fernandez-Val & Martin Weidner, 2018. "Network and panel quantile effects via distribution regression," CeMMAP working papers CWP21/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    21. Head, Keith & Mayer, Thierry & Ries, John, 2009. "How remote is the offshoring threat?," European Economic Review, Elsevier, vol. 53(4), pages 429-444, May.
    22. Elisaveta Archanskaia & Guillaume Daudin, 2012. "Heterogeneity and the Distance Puzzle," Documents de Travail de l'OFCE 2012-17, Observatoire Francais des Conjonctures Economiques (OFCE).
    23. repec:hal:wpspec:info:hdl:2441/dpido2upv86tqc7td18fd2mna is not listed on IDEAS
    24. David W. Hughes, 2021. "Estimating Nonlinear Network Data Models with Fixed Effects," Boston College Working Papers in Economics 1058, Boston College Department of Economics.
    25. Jochmans, Koen, 2022. "Bias in instrumental-variable estimators of fixed-effect models for count data," Economics Letters, Elsevier, vol. 212(C).
    26. Koen Jochmans, 2018. "Semiparametric Analysis of Network Formation," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(4), pages 705-713, October.
    27. Piyush Panigrahi, 2021. "Endogenous Spatial Production Networks: Quantitative Implications for Trade & Productivity," Cowles Foundation Discussion Papers 2314, Cowles Foundation for Research in Economics, Yale University.

    More about this item

    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:spo:wpmain:info:hdl:2441/75dbbb2hc596np6q8flqf6i79k. 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: Spire @ Sciences Po Library (email available below). General contact details of provider: https://edirc.repec.org/data/ecspofr.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.