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World Power Trends and International Relations: Measuring Power with an Entropy-QAP Approach

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Abstract

National power has been an important discriminative signal for the evolution of great power competition and international patterns in recent years, not only in terms of the relative resource scale of the state but also in terms of the efficiency of resource use. Based on the two levels of national resources and conversion mechanisms, this article uses the entropy method to establish national power comprehensive assessment index systems covering 144 countries and 38 indicators from 1990–2020. At the same time, based on power transition theory (PTT), this article uses quadratic assignment procedures to verify the relevance and interpretation of international bilateral relations in the national power gap. The conclusion is that technology and economic elements are especially important for national power, and the conversion mechanism is icing on the cake rather than a decisive factor. The competition among great powers is transformed into nontraditional competition rather than an arms race; the international pattern has gradually developed from one superpower to a multipolar trend, and the global economic and geopolitical center has transitioned to Asia. The rise of China and the recession in the U.S. are factual; as the gap between the two countries’ power narrows, their international relations become increasingly tense, confirming power transition theory.

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Data Availability

The data are available from the corresponding author on reasonable request.

Notes

  1. The Composite Index of National Capability is proposed in 1963 by David Singer. It consists of six dimension of steel production, military spending, military personnel, energy consumption, total population and urban population. It is the standard of comprehensive strength in one country biased toward the measurement of material strength.

  2. Calculated as in Bailey Michael A., Anton Strezhnev and Erik Voeten, "Estimating dynamic state preferences from United Nations voting data," Journal of Conflict Resolution, Vol. 61, No. 2, 2017, pp. 430–456.

  3. The article defines asymmetric relationship as the relationship between countries with more than 20% difference in capacity, symmetric as the difference in capacity less than 20%, and overtaking when the capacity of one country catches up with the other country in a symmetric relationship.

  4. In this article, robust test was also conducted by comparing with GDP; the results are stable but not shown in the text due to the word limit.

References

  1. Akgül, Ö., and K.K. Renda. 2020. Reconsidering power in international relations. Chinese Political Science Review 5 (3): 332–354.

    Article  Google Scholar 

  2. Arreguin-Toft, I. 2001. How the weak win wars: A Theory of asymmetric conflict. International Security 26 (1): 93–128.

    Article  Google Scholar 

  3. Babones, S. 2011. The middling kingdom: The hype and the reality of China’s rise. Foreign Affairs 90: 79.

    Google Scholar 

  4. Baldwin, D.A. 2016. Power and international relations: A conceptual approach. Princeton: Princeton University Press.

    Book  Google Scholar 

  5. Baldwin, D.A. 1989. Paradoxes of Power. Oxford: Basil Blackwell.

    Google Scholar 

  6. Barnett, M., and R. Duvall. 2005. Power in international politics. International Organization 59 (1): 39–75.

    Article  Google Scholar 

  7. Beckley, M. 2011. China’s century? Why America’s edge will endure. International Security 36 (3): 41–78.

    Article  Google Scholar 

  8. Beckley, M. 2018. The power of nations: Measuring what matters. International Security 43 (2): 7–44.

    Article  Google Scholar 

  9. Blechman, B.M. 2004. Soft power: The means to success in world politics. Political Science Quarterly 119 (4): 680–682.

    Article  Google Scholar 

  10. Can, C.M. 2021. Great power politics and small power strategies in the nordic region: 1945–1956. Chinese Political Science Review 6 (2): 187–206.

    Article  Google Scholar 

  11. Casetti, E. 2003. Power shifts and economic development: When will China overtake the USA? Journal of Peace Research 40 (6): 661–675.

    Article  Google Scholar 

  12. Chachko, E., and J.B. Heath. 2022. A watershed moment for sanctions? Russia, Ukraine, and the economic battlefield. American Journal of International Law 116: 135–139.

    Google Scholar 

  13. Cline, R.S. 1980. World power trends and US foreign policy for the 1980s. Boulder: Westview Press.

    Google Scholar 

  14. Cohen, B. J. 2009. The multiple traditions of American IPE. In Routledge Handbook of International Political Economy (IPE), pp. 33–45. London & New York: Routledge.

  15. Davis, C.M. 2016. The Ukraine conflict, economic–military power balances and economic sanctions. Post-Communist Economies 28 (2): 167–198.

    Article  Google Scholar 

  16. De Soysa, I., J.R. Oneal, and Y.H. Park. 1997. Testing power-transition theory using alternative measures of national capabilities. Journal of Conflict Resolution 41 (4): 509–528.

    Article  Google Scholar 

  17. Degterev, D.A. 2019. Multipolar world order: Old myths and new realities. Vestnik RUDN. International Relations 19 (3): 404–419.

    Article  Google Scholar 

  18. Degterev, D.A., M.S. Ramich, and A.V. Tsvyk. 2021. US-China: “Power Transition” and the outlines of “Conflict Bipolarity.” Vestnik RUDN. International Relations 21 (2): 210–231.

    Article  Google Scholar 

  19. Dunne, J.P., and N. Tian. 2015. Military expenditure, economic growth and heterogeneity. Defence and Peace Economics 26 (1): 15–31.

    Article  Google Scholar 

  20. Easterlin, R.A. 1996. Growth triumphant: The twenty-first century in historical perspective. Ann Arbor: University of Michigan Press.

    Book  Google Scholar 

  21. Finnemore, M., and J. Goldstein. 2013. Puzzles about Power. In Back to basics: State power in a contemporary world. New York: Oxford University Press.

  22. Ghiselli, A. 2023. Dawn C. Murphy, China’s rise in the Global South: The Middle East, Africa and Beijing’s alternative world order. Journal of Chinese Political Science 28: 181–182.

    Article  Google Scholar 

  23. Gorgij, A.D., O. Kisi, A.A. Moghaddam, and A. Taghipour. 2017. Groundwater quality ranking for drinking purposes, using the entropy method and the spatial autocorrelation index. Environmental Earth Sciences 76: 1–9.

    Article  Google Scholar 

  24. Guan, J.C., and Y. Yan. 2016. Technological proximity and recombinative innovation in the alternative energy field. Research Policy 45 (7): 1460–1473.

    Article  Google Scholar 

  25. He, Y.X., Z. Jiao, and J. Yang. 2018. Comprehensive evaluation of global clean energy development index based on the improved entropy method. Ecological Indicators 88: 305–321.

    Article  Google Scholar 

  26. Heckman, Garrett Alan. 2009. Power capabilities and similarity of interests: a test of the power transition theory (Master's Theses, Louisiana State University and Agricultural & Mechanical College).

  27. Houweling, H., and J.G. Siccama. 1988. Power transitions as a cause of war. Journal of Conflict Resolution 32 (1): 87–102.

    Article  Google Scholar 

  28. Huang, Y., and M. Mayer. 2023. Power in the age of datafication: Exploring China’s global data power. Journal of Chinese Political Science 28: 25–49.

    Article  Google Scholar 

  29. Jin, H., X. Qian, T. Chin, and H. Zhang. 2020. A global assessment of sustainable development based on modification of the human development index via the entropy method. Sustainability 12 (8): 3251.

    Article  Google Scholar 

  30. Kadera, K., and G. Sorokin. 2004. Measuring national power. International Interactions 30 (3): 211–230.

    Article  Google Scholar 

  31. Karabell, Z. 2014. The leading indicators: A short history of the numbers that rule our world. New York: Simon & Schuster.

    Google Scholar 

  32. Kennedy, P. 1987. The rise and fall of the great powers. New York: Random House.

    Google Scholar 

  33. Kim, H.M. 2010. Comparing measures of national power. International Political Science Review 31 (4): 405–427.

    Article  Google Scholar 

  34. Kim, M.H. 2019. A real driver of US–China trade conflict: The Sino–US competition for global hegemony and its implications for the future. International Trade, Politics and Development 3 (1): 30–40.

    Article  Google Scholar 

  35. Kim, W. 1991. Alliance transitions and great power war. American Journal of Political Science 35: 833–850.

    Article  Google Scholar 

  36. Kiseleva, Y. 2015. Russia’s soft power discourse: Identity, status and the attraction of power. Politics 35 (3–4): 316–329.

    Article  Google Scholar 

  37. Kydd, A. 2020. Switching sides: Changing power, alliance choices and US–China–Russia relations. International Politics 57: 855–884.

    Article  Google Scholar 

  38. Layne, C. 2018. The US–Chinese power shift and the end of the Pax Americana. International Affairs 94 (1): 89–111.

    Article  Google Scholar 

  39. Lemke, D., and T.L. Allee. 2002. Regions of war and peace. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  40. Liff, A.P., and G.J. Ikenberry. 2014. Racing toward tragedy?: China’s rise, military competition in the Asia Pacific, and the security dilemma. International Security 39 (2): 52–91.

    Article  Google Scholar 

  41. Liu, H.L., P. Willems, A.M. Bao, L. Wang, and X. Chen. 2016. Effect of climate change on the vulnerability of a socio-ecological system in an arid area. Global and Planetary Change 137: 1–9.

    Article  Google Scholar 

  42. Lord, C., and J.J. Mearsheimer. 2002. The tragedy of great power politics. Naval War College Review 55 (4): 14.

    Google Scholar 

  43. Mahoney, J.G. 2023. China’s rise as an advanced technological society and the rise of digital orientalism. Journal of Chinese Political Science 28: 1–24.

    Article  Google Scholar 

  44. Mearsheimer, John J. 2001. The Tragedy of Great Power Politics. Norton.

    Google Scholar 

  45. Morgan, T.C., C. Syropoulos, and Y.V. Yotov. 2023. Economic sanctions: Evolution, consequences, and challenges. Journal of Economic Perspectives 37 (1): 3–29.

    Article  Google Scholar 

  46. Muzaffar, M., Z. Yaseen, and N. Rahim. 2017. Changing dynamics of global politics: Transition from unipolar to multipolar world. Liberal Arts and Social Sciences International Journal (LASSIJ) 1 (1): 49–61.

    Article  Google Scholar 

  47. Nordhaus, W., J.R. Oneal, and B. Russett. 2012. The effects of the international security environment on national military expenditures: A multicountry study. International Organization 66 (3): 491–513.

    Article  Google Scholar 

  48. Nye, J.S. 2011. The future of power, Public Affairs. New York: Perseus Books Group.

    Google Scholar 

  49. Oraganski, A.F.K., and J. Kugler. 1980. The War Ledger. Chicago: University of Chicago Press.

    Book  Google Scholar 

  50. Organski, A.F. 1958. World politics. New York: Knopf.

    Google Scholar 

  51. Paus, E., P.B. Prime, and J. Western. 2009. Global Giant: Is China Changing the Rules of the Game? New York: Palgrave Macmillan.

    Book  Google Scholar 

  52. Rachman, G. 2011. American decline: This time it’s for real. Foreign Policy 184 (63): 59.

    Google Scholar 

  53. Rachman, G. 2016. Easternization: Asia’s rise and America’s decline from Obama to Trump and beyond. New York: Other Press.

    Google Scholar 

  54. Rauch, C. 2017. Challenging the power consensus: GDP, CINC, and power transition theory. Security Studies 26 (4): 642–664.

    Article  Google Scholar 

  55. Robertson, P.E., and A. Sin. 2017. Measuring hard power: China’s economic growth and military capacity. Defence and peace economics 28 (1): 91–111.

    Article  Google Scholar 

  56. Sandler, T., and J. George. 2016. Military expenditure trends for 1960–2014 and what they reveal. Global Policy 7 (2): 174–184.

    Article  Google Scholar 

  57. Shifrinson, J. 2018. Should the United States fear China’s rise? The Washington Quarterly 41 (4): 65–83.

    Article  Google Scholar 

  58. Strange, S. 1987. The persistent myth of lost hegemony. International organization 41 (4): 551–574.

    Article  Google Scholar 

  59. Subramanian, A. 2011. The inevitable superpower: Why China’s dominance is a sure thing. Foreign Affairs 90: 66.

    Google Scholar 

  60. Tsai, W. 2002. Social structure of “coopetition” within a multiunit organization: Coordination, competition, and intraorganizational knowledge sharing. Organization science 13 (2): 179–190.

    Article  Google Scholar 

  61. Wang, X., N. Hou, and B. Chen. 2022. Democracy, military expenditure and economic growth: A heterogeneous perspective. Defence and Peace Economics 1–32. https://doi.org/10.1080/10242694.2022.2126955.

  62. Winecoff, W.K. 2020. “The persistent myth of lost hegemony”, revisited: structural power as a complex network phenomenon. European Journal of International Relations 26 (1_suppl): 209–252.

    Article  Google Scholar 

  63. Yilmaz, S., and T. Sun. 2022. The China–US great power rivalry and the new anarchy. Chinese Political Science Review 1–20. https://doi.org/10.1007/s41111-022-00224-6

  64. Yudin, N. 2015. A systemic approach to “Soft Power.” International Trends 13 (2): 96–105.

    Google Scholar 

  65. Zhang, E., and P. James. 2023. All roads lead to Beijing: Systemism, power transition theory and the belt and road initiative. Chinese Political Science Review 8: 18–44.

    Article  Google Scholar 

  66. Zhao, J., G. Ji, Y. Tian, Y. Chen, and Z. Wang. 2018. Environmental vulnerability assessment for mainland China based on entropy method. Ecological Indicators 91: 410–422.

    Article  Google Scholar 

  67. Zou, Z.H., Y. Yi, and J.N. Sun. 2006. Entropy method for determination of weight of evaluating indicators in fuzzy synthetic evaluation for water quality assessment. Journal of Environmental Sciences 18 (5): 1020–1023.

    Article  Google Scholar 

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Acknowledgements

This work is supported by Strategic Economy Interdisciplinarity (Beijing Universities Advanced Disciplines Initiative, No. GJJ2019163), and Social Science Foundation of Beijing (22JJB011).

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Correspondence to Xin-Yi Wang.

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Wang, XY., Chen, B. World Power Trends and International Relations: Measuring Power with an Entropy-QAP Approach. J OF CHIN POLIT SCI (2023). https://doi.org/10.1007/s11366-023-09853-3

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