Gravity Model: A Bibliometric Analysis and Detailed Overview

  • Ismail Metin Manisa Celal Bayar University
  • Gencay Tepe Manisa Celal Bayar University
Keywords: International Trade, Gravity Model, Bibliometric Analysis, Scopus, Web of Science


Originating from Newton’s gravitational theory which was posed in 1687; the concept of gravity equation was primarily used by Tinbergen in the field of international trade analysis in 1962. After Tinbergen, Pöyhönen, Linnemann, Anderson, Santos and Tenreyro, Bergstrand and Egger, Deardorff and also Wooldridge developed the theory of gravity. And gravity model has become progressively well-liked in the academic publications. The aim of this study is to determine the literature belonging to the years between 1980 which is the starting point for “gravity” related studies’ being published on Web of Science (WoS) and Scopus and 2020 to execute a bibliometric review of this literature. Thereby, it targets to supply a perspective concerning the nature of the studies executed on the subject of gravity model, so as to point out the lack of the bibliometric analysis-using studies on the field of international trade. In this study, we collected the data between 1980-2020 from Scopus and Web of Science database and analysed using the Gephi, Vosviewer and R Studio programmes in order to be used in our bibliometric analysis. The results showed that U.S.A., Germany and China are the countries which have the highest number of publications in this field, and the journals with the highest number of publications are “World Economy”, “Journal of International Economics” and “Review of International Economics”. The fact that three programmes have been simultaneously used in the study is demonstrative of the originality of the paper.


Anderson, J. E. (2011). The gravity model. Annual Review of Economics, 3(1), 133-160.

Anderson, J. E., & Marcouiller, D. (2002). Insecurity and the pattern of trade: An empirical investigation. Review of Economics and Statistics, 84(2), 342-352.

Aviat, A., & Coeurdacier, N. (2007). The geography of trade in goods and asset holdings. Journal of International Economics, 71(1), 22-51.

Beine, M., Bertoli, S., & Moraga, F. J. H. (2016). A practitioners’ guide to gravity models of international migration. The World Economy, 39(4), 496-512.

Bergstrand, J. H. (1985). The gravity equation in international trade: Some microeconomic foundations and empirical evidence. The Review of Economics and Statistics, 67(3), 474-481.

Bergstrand, J. H. (1989). The generalized gravity equation, monopolistic competition and the factor-proportions theory in international trade. The Review of Economics and Statistics, 71(1989), 143-153.

Bikker, J. A. (1987). An international trade flow model with substitution: An extension of the gravity model. Kyklos International Review for Social Sciences, 40(3), 315-337.

Burger, M., Van Oort, F., & Linders, G. J. (2009). On the specification of the gravity model of trade: zeros, excess zeros and zero-inflated estimation. Spatial Economic Analysis, 4(2), 167-190.

Carrere, C. (2006). Revisiting the effects of regional trade agreements on trade flows with proper specification of the gravity model. European Economic Review, 50(2), 223-247.

Caya, R., & Neto, J. J. (2018). A bibliometric review about adaptivity. Procedia Computer Science, 130, 1114-1119.

Chaney, T. (2013). The gravity equation in international trade: An explanation. Journal of Political Economy, 126(1), 150-177.

Cheng, I-H. & Wall, H. J. (2005). Controlling for heterogeneity in gravity models of trade and integration. Federal Reserve Bank of St. Louis Review, 87(1), 49-63.

Costantini, V. & Mazzanti, M. (2012). On the green and innovative side of trade competitiveness? the impact of environmental policies and innovation on EU exports. Research Policy, 41(1), 132-153.

De Benedictis, L., & Tajoli, L. (2011). The world trade network. The World Economy, 34(8), 1417-1454.

Dür, A., Baccini, L., & Elsig, M. (2014). The design of international trade agreements: introducing a new dataset. The Review of International Organizations, 9(3), 353-375.

Egger, P. (2002). An econometric view on the estimation of gravity models and the calculation of trade potentials. World Economy, 25(2), 297-312.

Ekanayake, E. M., Mukherjee, A., & Veeramacheneni, B. (2010). Trade blocks and the gravity model: A study of economic integration among Asian Developing Countries. Journal of Economic Integration, 25(4), 627-643.

Fourie, J., & Santana-Gallego, M. (2011). The impact of mega-sport events on tourist arrivals. Tourism Management, 32(6), 1364-1370.

Frankel, J. A. (1997). Regional Trading Blocs in the World Trading System. Washington D.C.: Institute for International Economics.

Gencer, A. H. (2012, October 11-13). Gravity modelling of Turkey’s international trade under globalization. Paper presented at the International Conference on Eurasian Economies, (pp. 31-34), Almaty, Kazakhstan.

Gopinath, M., & Echeverria, R. (2004). Does economic development impact the foreign direct investment-trade relationship? A gravity-model approach. American Journal of Agricultural Economics, 86(3), 782-787.

Irshad, M. S., Xin, Q., Shahriar, S., & Arshad, H. (2017). A panel data analysis of China’s trade pattern with OPEC members: Gravity model approach. Asian Economic and Financial Review, 8(1), 103-116.

Jarneving, B. (2007). Bibliographic coupling and its application to research-front and other core documents. Journal of Informetrics, 1(4), 287-307.

Kaluza, P., Kölzsch, A., Gastner, M. T., & Blasius, B. (2010). The complex network of global cargo ship movements. Journal of the Royal Society Interface, 7(48), 1093-1103.

Karagöz, K., & Karagöz, M. (2009). Determining factors of trade flows in the Black Sea economic cooperation BSEC Region a panel gravity model. Akademik Araştırmalar ve Çalışmalar Dergisi, 1(1), 63-75.

Karemera, D., Smith, W. I., Ojah, K., & Cole, J. A. (1999). A gravity model analysis of the benefits of economic integration in the Pacific Rim. Journal of Economic Integration, 14(3), 347-367.

Kepaptsoglou, K., Karliftis, M.G., & Tsamboulas, D. (2010). The gravity model specification for modeling international trade flows and free trade agreement effects: A 10-year review of empirical studies. The Open Economics Journal, 2010(3), 1-13.

Kim, K., & Cohen, J. E. (2010). Determinants of international migration flows to and from industrialized countries: A panel data approach beyond gravity. International Migration Review, 44(4), 8999-932.

Lewer, J. J., & Berg, H. V. D. (2008). A gravity model of immigration. Economics Letters, 99(1), 164-167.

Linnemann, H. (1966). An Econometric Study Of International Trade Flows. Amsterdam: North-Holland Publishing Co.

Mele, M., & Quarto, A. (2017). A gravitational model for estimate the determinants of outward foreign direct investment of China. International Journal of Economics and Financial Issues, 7(1), 1-5.

Merigó, J. M., & Núñez, A. (2016). Influential journals in health research: A bibliometric study. Globalization and Health, 12(1), 46.

Morrow, J. D., Siverson, R. M., & Tabares, T. E. (1998). The political determinants of international trade: the major powers, 1907–1990. American Political Science Review, 92(3), 649-661.

Muhuri, P. K., Shukla, A. K., & Abraham, A. (2019). Industry 4.0: A bibliometric analysis and detailed overview. Engineering Applications of Artificial Intelligence, 78, 218-235.

Nitsch, V. (2000). National borders and international trade: Evidence from the European Union. Canadian Journal of Economics/Revue Canadienne D'économique, 33(4), 1091-1105.

Nitsch, V., & Schumacher, D. (2004). Terrorism and international trade: An empirical investigation. European Journal of Political Economy, 20(2), 423-433.

Nobre, G. C., & Tavares, E. (2017). Scientific literature analysis on big data and internet of things applications on circular economy: a bibliometric study. Scientometrics, 111(1), 463-492.

Olczyk, M. (2016). A systematic retrieval of international competitiveness literature: A bibliometric study. Eurasian Economic Review, 6(3), 429-457.

Palmer, A. L., Sese, A., & Montano, J. J. (2005). Tourism and statistics: bibliometric study 1998–2002. Annals of Tourism Research, 32(1), 167-178.

Pericoli, F. M., Pierucci, E., & Ventura, L. (2014). A note on gravity models and international investment patterns. Applied Financial Economics, 24(21), 1393-1400.

Portes, R., & Rey, H. (2005). The determinants of cross-border equity flows. Journal of International Economics, 65(2), 269-296.

Rose, A. K. (2000). One money, one market: The effect of common currencies on trade. Economic Policy, 15(30), 08-45.

Rose, A. K. (2004). Do we really know that the WTO increases trade? American Economic Review, 94(1), 98-114.

Rose, A. K. (2005). One reason countries pay their debts: Renegotiation and international trade. Journal of Development Economics, 77(1), 189-206.

Solmaz, A. R., & Koç, S. (2019). International migration flows in Turkey: A gravity model analysis. Journal of Life Economics, 6(4), 401-412.

Subasat, T., & Bellos, S. (2013). Governance and foreign direct investment in Latin America: a panel gravity model approach. Latin American Journal of Economics, 50(1), 107-131.

Subramanian, A., & Wei, S. J. (2007). The WTO promotes trade, strongly but unevenly. Journal of International Economics, 72(1), 151-175.

Tinbergen, J. (1962). Shaping The World Economy. New York: Twentieth Century Fund.

Yeung, A. W. K., Goto, T. K., & Leung, W. K. (2017). The changing landscape of neuroscience research, 2006–2015: A bibliometric study. Frontiers In Neuroscience, 11(120), 1-10.

Zupic, I., & Cater, T. (2015). Bibliometric methods in management and organization. Organizational Research Methods, 18(3), 429-472.

How to Cite
Ismail Metin, & Gencay Tepe. (2021). Gravity Model: A Bibliometric Analysis and Detailed Overview. International Journal of Business and Society, 22(1), 365-381.