The DOI matches its Crossref record; 41 of the 41 references it cites were found in a registry or an index.
Estimating Trade Flows: Trading Partners and Trading Volumes *
Open accessAbstract
We develop a simple model of international trade with heterogeneous firms that is consistent with a number of stylized features of the data. In particular, the model predicts positive as well as zero trade flows across pairs of countries, and it allows the number of exporting firms to vary across destination countries. As a result, the impact of trade frictions on trade flows can be decomposed into the intensive and extensive margins, where the former refers to the trade volume per exporter and the latter refers to the number of exporters. This model yields a generalized gravity equation that accounts for the self-selection of firms into export markets and their impact on trade volumes. We then develop a two-stage estimation procedure that uses an equation for selection into trade partners in the first stage and a trade flow equation in the second. We implement this procedure parametrically, semiparametrically, and nonparametrically, showing that in all three cases the estimated effects of trade frictions are similar. Importantly, our method provides estimates of the intensive and extensive margins of trade. We show that traditional estimates are biased and that most of the bias is due not to selection but rather due to the omission of the extensive margin. Moreover, the effect of the number of exporting firms varies across country pairs according to their characteristics. This variation is large and particularly so for trade between developed and less developed countries and between pairs of less developed countries.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Endogeneity has been a major obstacle in gravity models.”
From Estimating the effects of trade agreements: Lessons from 60 years of methods and data (2024) · cites this paper as Helpman et al., 2008
In the citing paper
“the profession has struggled to address this issue using standard techniques (e.g., instrumental variable (IV) treatment) due to the fact that very often what determines the probability to sign a trade agreement also affects the volume of trade flows (Egger et al., 2008;Egger et al., 2011;Helpman et al., 2008;Jochmans & Verardi, 2022).”
From Estimating the effects of trade agreements: Lessons from 60 years of methods and data (2024) · cites this paper as Helpman et al., 2008
Citations
Cites
Sample Selection Bias as a Specification Error
Heckman, J. J. (1979) · Econometrica · doi:10.2307/1912352 · Cited by 28,779
(2001) · RePEc: Research Papers in Economics · Cited by 27,577
The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity
Melitz, M. J. (2003) · Econometrica · doi:10.1111/1468-0262.00467 · Cited by 12,309
Self-citationWhy do Some Countries Produce So Much More Output Per Worker than Others?
Hall, R. E., & Jones, C. I. (1999) · The Quarterly Journal of Economics · doi:10.1162/003355399555954 · Cited by 8,336
Gravity with Gravitas: A Solution to the Border Puzzle
Anderson, J. E., & van Wincoop, E. (2003) · American Economic Review · doi:10.1257/000282803321455214 · Cited by 7,566
(2012) · American Economic Review · doi:10.1257/aer.102.7.i · Cited by 7,275
Silva, J. M. C. S., & Tenreyro, S. (2006) · The Review of Economics and Statistics · doi:10.1162/rest.88.4.641 · Cited by 6,408
Frankel, J. A., & Romer, D. (1999) · American Economic Review · doi:10.1257/aer.89.3.379 · Cited by 5,593
Economic Reform and the Process of Global Integration
Sachs, J. D., Warner, A., Aslund, A., & Fischer, S. (1995) · Brookings Papers on Economic Activity · doi:10.2307/2534573 · Cited by 4,950
Technology, Geography, and Trade
Eaton, J., & Kortum, S. (2002) · Econometrica · doi:10.1111/1468-0262.00352 · Cited by 4,485
Djankov, S., La Porta, R., Lopez-de-Silanes, F., & Shleifer, A. (2002) · The Quarterly Journal of Economics · doi:10.1162/003355302753399436 · Cited by 3,956
(1979) · American Economic Review · Cited by 3,564
Market Structure and Foreign Trade
Brander, J. A., Helpman, & Krugman (1986) · Canadian Journal of Economics/Revue canadienne d économique · doi:10.2307/135294 · Cited by 3,037
Plants and Productivity in International Trade
Bernard, A. B., Eaton, J., Jensen, J. B., & Kortum, S. (2003) · American Economic Review · doi:10.1257/000282803769206296 · Cited by 2,980
Anderson, J. E., & van Wincoop, E. (2004) · Journal of Economic Literature · doi:10.1257/0022051042177649 · Cited by 2,524
National Borders Matter: Canada-U.S. Regional Trade Patterns.
McCallum, J. C. P. (1995) · American Economic Review · Cited by 1,980
The Variety and Quality of a Nation's Exports
Hummels, D., & Klenow, P. J. (2005) · American Economic Review · doi:10.1257/0002828054201396 · Cited by 1,861
One money, one market: the effect of common currencies on trade
Rose, A. K. (2000) · Economic Policy · doi:10.1111/1468-0327.00056 · Cited by 1,844
Do We Really Know That the WTO Increases Trade?
Rose, A. K. (2004) · American Economic Review · doi:10.1257/000282804322970724 · Cited by 1,481
Market structure and foreign trade
Helpman, E. (1985) · Cited by 1,377
Self-citationImperfect competition and international trade: Evidence from fourteen industrial countries
Helpman, E. (1987) · Journal of the Japanese and International Economies · doi:10.1016/0889-1583(87)90027-x · Cited by 1,039
Self-citationOne Money, One Market: Estimating the Effect of Common Currencies on Trade
Rose, A. K. (1999) · National Bureau of Economic Research · doi:10.3386/w7432 · Cited by 908
The WTO Promotes Trade, Strongly But Unevenly
Subramanian, A., & Wei, S. (2003) · Journal of International Economics · doi:10.1016/j.jinteco.2006.07.007 · Cited by 878
Does a currency union affect trade? The time-series evidence
Glick, R., & Rose, A. K. (2002) · European Economic Review · doi:10.1016/s0014-2921(01)00202-1 · Cited by 860
Estimating Trade Flows: Trading Partners and Trading Volumes
Helpman, E., Melitz, M. J., & Yona Rubinstein, Z. (2007) · National Bureau of Economic Research · doi:10.3386/w12927 · Cited by 749
Self-citationTinbergen, J. (1963) · The International Executive · doi:10.1002/tie.5060050113 · Cited by 714
Dissecting Trade: Firms, Industries, and Export Destinations
Eaton, J., Kortum, S. S., & Kramarz, F. (2004) · American Economic Review · doi:10.1257/0002828041301560 · Cited by 646
Intra-National versus International Trade: How Stubborn are Nations in Global Integration?
Wei, S. (1996) · National Bureau of Economic Research · doi:10.3386/w5531 · Cited by 637
Border Effects and the Gravity Equation: Consistent Methods for Estimation
Feenstra, R. C. (2002) · Scottish Journal of Political Economy · doi:10.1111/1467-9485.00244 · Cited by 502
How Important Is the New Goods Margin in International Trade?
Kehoe, T. J., & Ruhl, K. J. (2013) · Journal of Political Economy · doi:10.1086/670272 · Cited by 448
Market access, economic geography and comparative advantage: an empirical test
Davis, D. R., & Weinstein, D. E. (2003) · Journal of International Economics · doi:10.1016/s0022-1996(02)00088-0 · Cited by 378
Exploring the Intensive and Extensive Margins of World Trade
Felbermayr, G. J., & Köhler, W. (2006) · Review of World Economics · doi:10.1007/s10290-006-0087-3 · Cited by 362
Credit Constraints, Heterogeneous Firms and International TradePreprint
Manova, K. B. (2006) · SSRN Electronic Journal · doi:10.2139/ssrn.952552 · Cited by 269
The Economic Significance of National Border Effects
Evans, C. L. (2003) · American Economic Review · doi:10.1257/000282803769206304 · Cited by 261
Haveman, J. D., & Hummels, D. (2004) · Canadian Journal of Economics/Revue canadienne d économique · doi:10.1111/j.0008-4085.2004.011_1.x · Cited by 219
Credit Constraints, Heterogeneous Firms, and International Trade
Manova, K. B. (2008) · National Bureau of Economic Research · doi:10.3386/w14531 · Cited by 206
Export Growth in Developing Countries: Market Entry and Bilateral Trade Flows
Evenett, S. J., & Venables, A. J. (2002) · Cited by 200
Trade and Growth: An Empirical Investigation
Frankel, J. A., & Romer, D. (1996) · National Bureau of Economic Research · doi:10.3386/w5476 · Cited by 196
Importers, Exporters, and Multinationals: A Portrait of Firms in the U.S. that Trade Goods
Bernard, A. B., Jensen, J. B., & Schott, P. K. (2005) · National Bureau of Economic Research · doi:10.3386/w11404 · Cited by 153
Economic Effects of Currency Unions
Tenreyro, S., & Barro, R. J. (2003) · National Bureau of Economic Research · doi:10.3386/w9435 · Cited by 103
Estimating Trade Flows: Trading Partners and Trading VolumesPreprint
Yona Rubinstein, Z., Helpman, E., & Melitz, M. J. (2008) · RePEc: Research Papers in Economics · Cited by 101
Self-citation
Flagged first, then by citations
Research works printed but not linked: 3
- Anderson James A, 1979, American Economic Review, 69, 106
- Feenstra, Robert C.: Princeton University Press, 2003).
- McCallum John, 1995, American Economic Review, 85, 615
Cited by
Sorted by citations
The Economic Consequences of Legal Origins
Porta, R. L., Lopez-de-Silanes, F., & Shleifer, A. (2008) · Journal of Economic Literature · doi:10.1257/jel.46.2.285 · Cited by 3,220
Gravity Equations: Workhorse,Toolkit, and Cookbook
Head, K., & Mayer, T. (2014) · Handbook of International Economics · doi:10.1016/b978-0-444-54314-1.00003-3 · Cited by 1,565
“…heterogenous firms literature (2008): 2008 was the third pivotal year for research on gravity as it saw the publication of three papers—Chaney (2008), Helpman et al. (2008), Melitz and Ottaviano (2008)—that united recent work on heterogeneous firms with the determination of bilateral trade flows.”
InfluentialRailroads of the Raj: Estimating the Impact of Transportation Infrastructure
Donaldson, D. (2018) · American Economic Review · doi:10.1257/aer.20101199 · Cited by 1,665
New Trade Models, Same Old Gains?
Arkolakis, C., Costinot, A., & Rodríguez-Clare, A. (2012) · American Economic Review · doi:10.1257/aer.102.1.94 · Cited by 1,707
Credit Constraints, Heterogeneous Firms, and International Trade
Manova, K. B. (2012) · The Review of Economic Studies · doi:10.1093/restud/rds036 · Cited by 1,242
“In the absence of systematic crosscountry data at the micro level, I quantify these two mechanisms with a two-stage structural estimation procedure in the spirit of Helpman et al. (2008).”
Metadata
- Authors
- Helpman, E., Melitz, M., & Rubinstein, Y.
- Affiliations
- Canadian Institute for Advanced Research (CA)
- National Bureau of Economic Research (US)
- Venue
- Quarterly Journal of Economics
- Publisher
- Oxford University Press (OUP)
- Published
- 2008-05
- Volume
- 123
- Issue
- 2
- Pages
- 441-487
- ISSN
- 0033-5533 (ISSN-L)
- 1531-4650
- OpenAlex
- W3122837923
- Cited by
- 2,436
- References
- 41
- Citations by year
- 2026: 99 · 2025: 93 · 2024: 104 · 2023: 91 · 2022: 111 · 2021: 115 · 2020: 114 · 2019: 105 · 2018: 126 · 2017: 132 · 2016: 157 · 2015: 200 · 2014: 204 · 2013: 196 · 2012: 174
- FWCI
- 286.17
- Type
- journal article
- Language
- en
- Open access
- green
- nrs.harvard.edu
- Licence
- cc-by
- Locations
- The Quarterly Journal of Economics (publishedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- RePEc: Research Papers in Economics (submittedVersion)
- London School of Economics and Political Science Theses Online (London School of Economics and Political Science) (submittedVersion)
- Topics
- Social Sciences › Economics, Econometrics and Finance › General Economics, Econometrics and Finance › Global trade and economics
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Economic and Technological Innovation
- Social Sciences › Business, Management and Accounting › Strategy and Management › Global Trade and Competitiveness
- Keywords
- international trade, trade flows, gravity model, trade friction, heterogeneous firms, intensive margin, extensive margin, exporters, two-stage estimation, selection bias, developed and developing countries
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review