Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/aea/apandp/v109y2019p450-55.html
   My bibliography  Save this article

Aggregation and the Gravity Equation

Author

Listed:
  • Stephen J. Redding
  • David E. Weinstein
Abstract
One of the most successful empirical relationships in international trade is the gravity equation. A key decision for researchers in estimating this relationship is the level of aggregation, since the gravity equation is log linear, whereas aggregation involves summing the level rather than the log of trade. In this paper, we derive a Jensen's inequality correction term for nested constant elasticity of substitution preferences, such that a log-linear gravity equation holds exactly for each nest. We provide evidence that sectoral composition is quantitatively relevant for the aggregate effect of distance on international trade, particularly for more disaggregated definitions of sectors.

Suggested Citation

  • Stephen J. Redding & David E. Weinstein, 2019. "Aggregation and the Gravity Equation," AEA Papers and Proceedings, American Economic Association, vol. 109, pages 450-455, May.
    • Handle: RePEc:aea:apandp:v:109:y:2019:p:450-55
    Note: DOI: 10.1257/pandp.20191006
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/doi/10.1257/pandp.20191006
    Download Restriction: no
    File URL: https://www.aeaweb.org/doi/10.1257/pandp.20191006.data
    Download Restriction: no
    File URL: https://www.aeaweb.org/doi/10.1257/pandp.20191006.appx
    Download Restriction: no
    File URL: https://www.aeaweb.org/doi/10.1257/pandp.20191006.ds
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stephan Heblich & Stephen J Redding & Daniel M Sturm, 2020. "The Making of the Modern Metropolis: Evidence from London," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(4), pages 2059-2133.
    2. Combes, Pierre-Philippe & Lafourcade, Miren & Mayer, Thierry, 2005. "The trade-creating effects of business and social networks: evidence from France," Journal of International Economics, Elsevier, vol. 66(1), pages 1-29, May.
    3. 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.
    4. Martin, Philippe & Rey, Helene, 2004. "Financial super-markets: size matters for asset trade," Journal of International Economics, Elsevier, vol. 64(2), pages 335-361, December.
    5. 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.
    6. Natalia Ramondo & Andrés Rodríguez-Clare & Milagro Saborío-Rodríguez, 2016. "Trade, Domestic Frictions, and Scale Effects," American Economic Review, American Economic Association, vol. 106(10), pages 3159-3184, October.
    7. repec:hal:spmain:info:hdl:2441/2j87pv5ou185f980qgrpf9net0 is not listed on IDEAS
    8. Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2015. "The Economics of Density: Evidence From the Berlin Wall," Econometrica, Econometric Society, vol. 83, pages 2127-2189, November.
    9. Nelson Lind & Natalia Ramondo, 2023. "Trade with Correlation," American Economic Review, American Economic Association, vol. 113(2), pages 317-353, February.
    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. 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.
    12. Robert C. Feenstra & James R. Markusen & Andrew K. Rose, 2001. "Using the gravity equation to differentiate among alternative theories of trade," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 34(2), pages 430-447, May.
    13. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    14. Keith Head & John Ries, 2001. "Increasing Returns versus National Product Differentiation as an Explanation for the Pattern of U.S.-Canada Trade," American Economic Review, American Economic Association, vol. 91(4), pages 858-876, September.
    15. Costas Arkolakis & Svetlana Demidova & Peter J. Klenow & Andres Rodriguez-Clare, 2008. "Endogenous Variety and the Gains from Trade," American Economic Review, American Economic Association, vol. 98(2), pages 444-450, May.
    16. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-959, December.
    17. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    18. 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.
    19. 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.
    20. repec:hal:spmain:info:hdl:2441/nki2gcedn93280ns6fslbhdnm is not listed on IDEAS
    21. Davis, Donald R. & Weinstein, David E., 1999. "Economic geography and regional production structure: An empirical investigation," European Economic Review, Elsevier, vol. 43(2), pages 379-407, February.
    22. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
    23. Redding, Stephen & Venables, Anthony J., 2004. "Economic geography and international inequality," Journal of International Economics, Elsevier, vol. 62(1), pages 53-82, January.
    24. 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.
    25. Berthelon, Matias & Freund, Caroline, 2008. "On the conservation of distance in international trade," Journal of International Economics, Elsevier, vol. 75(2), pages 310-320, July.
    26. Ferdinando Monte & Stephen J. Redding & Esteban Rossi-Hansberg, 2018. "Commuting, Migration, and Local Employment Elasticities," American Economic Review, American Economic Association, vol. 108(12), pages 3855-3890, December.
    27. Alan V. Deardorff, 2011. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," World Scientific Book Chapters, in: Robert M Stern (ed.), Comparative Advantage, Growth, And The Gains From Trade And Globalization A Festschrift in Honor of Alan V Deardorff, chapter 24, pages 267-293, World Scientific Publishing Co. Pte. Ltd..
    28. James E. Anderson, 2011. "The Gravity Model," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 133-160, September.
    29. Arnaud Costinot & Dave Donaldson & Ivana Komunjer, 2012. "What Goods Do Countries Trade? A Quantitative Exploration of Ricardo's Ideas," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 581-608.
    30. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, 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. Egger, Peter H. & Li, Jie & Wu, Han, 2024. "Decomposing China’s bilateral export growth: A firm-regional-transactions structural gravity approach," European Economic Review, Elsevier, vol. 164(C).
    2. Ingo Borchert & Mario Larch & Serge Shikher & Yoto V. Yotov, 2022. "Disaggregated gravity: Benchmark estimates and stylized facts from a new database," Review of International Economics, Wiley Blackwell, vol. 30(1), pages 113-136, February.
    3. Vandenbussche, Hylke & Aw-Roberts, Bee Yan & Lee, Yi, 2019. "The Importance of Consumer Taste in Trade," CEPR Discussion Papers 13614, C.E.P.R. Discussion Papers.
    4. Peter R. Herman, 2022. "A pragmatic approach to estimating nondiscriminatory non‐tariff trade costs," Review of International Economics, Wiley Blackwell, vol. 30(4), pages 1258-1287, September.
    5. Fontagné, Lionel & Guimbard, Houssein & Orefice, Gianluca, 2022. "Tariff-based product-level trade elasticities," Journal of International Economics, Elsevier, vol. 137(C).
    6. Lionel Fontagné & Houssein Guimbard & Gianluca Orefice, 2020. "Product-Level Trade Elasticities: Worth Weighting For," Working Papers DT/2020/08, DIAL (Développement, Institutions et Mondialisation).
    7. Redding, Stephen J. & Weinstein, David E., 2024. "Accounting for trade patterns," Journal of International Economics, Elsevier, vol. 150(C).
    8. MORI Tomoya, 2021. "Regularity in Urban Agglomeration Patterns and Its Macroscopic Implications for Regional Policies (Japanese)," Policy Discussion Papers (Japanese) 21012, Research Institute of Economy, Trade and Industry (RIETI).
    9. Jareb, Colin & Nigai, Sergey, 2022. "Gravity models and the Law of Large Numbers," Economics Letters, Elsevier, vol. 221(C).
    10. Gabriel E. Kreindler & Yuhei Miyauchi, 2019. "Measuring Commuting and Economic Activity inside Cities with Cell Phone Records," Boston University - Department of Economics - Working Papers Series WP2020-006, Boston University - Department of Economics, revised Apr 2020.
    11. Zheng, Han, 2022. "Heterogeneous Internal Trade Cost and Its Implications in Trade," Discussion paper series HIAS-E-117, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.

    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. 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. repec:hal:wpspec:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    3. repec:hal:spmain:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    4. repec:spo:wpecon:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    5. 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.
    6. repec:spo:wpmain:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    7. Mario Larch & Yoto V. Yotov, 2016. "General Equilibrium Trade Policy Analysis with Structural Gravity," CESifo Working Paper Series 6020, CESifo.
    8. Chen, Natalie & Novy, Dennis, 2008. "International Trade Integration: A Disaggregated Approach," CEPR Discussion Papers 7103, C.E.P.R. Discussion Papers.
    9. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    10. Fally, Thibault, 2015. "Structural gravity and fixed effects," Journal of International Economics, Elsevier, vol. 97(1), pages 76-85.
    11. Anderson, James E. & Yotov, Yoto V., 2020. "Short run gravity," Journal of International Economics, Elsevier, vol. 126(C).
    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. Glenn Magerman & Karolien De Bruyne & Jan Van Hove, 2020. "Pecking order and core‐periphery in international trade," Review of International Economics, Wiley Blackwell, vol. 28(4), pages 1113-1141, September.
    14. 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).
    15. 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.
    16. Dennis Novy, 2013. "Gravity Redux: Measuring International Trade Costs With Panel Data," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 101-121, January.
    17. Nelson Lind & Natalia Ramondo, 2023. "Trade with Correlation," American Economic Review, American Economic Association, vol. 113(2), pages 317-353, February.
    18. Jacks, David S. & Meissner, Christopher M. & Novy, Dennis, 2011. "Trade booms, trade busts, and trade costs," Journal of International Economics, Elsevier, vol. 83(2), pages 185-201, March.
    19. 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.
    20. Redding, Stephen, 2020. "Trade and Geography," CEPR Discussion Papers 15268, C.E.P.R. Discussion Papers.
    21. Kristian Behrens & Giordano Mion & Yasusada Murata & Jens Südekum, 2014. "Trade, Wages, And Productivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1305-1348, November.
    22. Rahel Aichele, 2013. "Trade, Climate Policy and Carbon Leakage - Theory and Empirical Evidence," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 49.
    23. Rodrigo Adão & Costas Arkolakis & Federico Esposito, 2019. "General Equilibrium Effects in Space: Theory and Measurement," NBER Working Papers 25544, National Bureau of Economic Research, Inc.
    24. 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.

    More about this item

    JEL classification:

    • F14 - International Economics - - Trade - - - Empirical Studies of Trade

    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:aea:apandp:v:109:y:2019:p:450-55. 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: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.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.