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Aggregation and the Gravity Equation

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  • Redding, Stephen
  • Weinstein, David

Abstract

One of the most successful empirical relationships in international trade is the gravity equation, which relates bilateral trade flows between an origin and destination to bilateral trade frictions, origin characteristics, and destination characteristics. 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 level of trade flows. In this paper, we derive an exact Jensen's inequality correction term for the gravity equation in a nested constant elasticity of substitution (CES) import demand system, such that a log-linear gravity equation holds exactly for each nest of this demand system. We use this result to decompose the effect of distance on bilateral trade in the aggregate gravity equation into the contribution of a number of different terms from sectoral gravity equations. We show that changes in sectoral composition make a quantitatively relevant contribution towards the aggregate effect of distance, particularly for more disaggregated definitions of sectors.

Suggested Citation

  • Redding, Stephen & Weinstein, David, 2019. "Aggregation and the Gravity Equation," CEPR Discussion Papers 13459, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:13459
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    Cited by:

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    2. Fontagné, Lionel & Guimbard, Houssein & Orefice, Gianluca, 2022. "Tariff-based product-level trade elasticities," Journal of International Economics, Elsevier, vol. 137(C).
    3. 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.
    4. 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).
    5. Lionel Fontagné & Houssein Guimbard & Gianluca Orefice, 2020. "Product-Level Trade Elasticities: Worth Weighting For," Working Papers DT/2020/08, DIAL (Développement, Institutions et Mondialisation).
    6. 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.
    7. Jareb, Colin & Nigai, Sergey, 2022. "Gravity models and the Law of Large Numbers," Economics Letters, Elsevier, vol. 221(C).
    8. 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.
    9. 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.

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    More about this item

    Keywords

    Gravity equation; Trade; Aggregation;
    All these keywords.

    JEL classification:

    • F10 - International Economics - - Trade - - - General
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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