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Entropic characterization of Gross Domestic Product per capita (GDP) values of countries

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  • Gündüz, Güngör
  • Kuzucuoğlu, Mahmut
  • Gündüz, Yalın

Abstract

The historical change of Gross Domestic Product per capita (GDP) values of countries with the thirty largest economies was analyzed by using different entropies, (i) topological entropy, (ii) Shannon entropy, and (iii) configurational entropy. Topological entropy was used to analyze the number of periodic points of each ranking, and five segments corresponded to economic crises in the first ranking. The behavior in each segment could be described by polynomial equations. In all other rankings, the segments distorted to varying extents. Shannon entropy was used to analyze the entropy of each ranking and also the yearly change of the entropy of each country from 1960 to 2020. The negentropy change of each country was also analyzed. By the end of 2020, one country had equal entropy and negentropy, twelve countries had larger, and seventeen countries had smaller entropies than their negentropy. There was a close similarity between the change of topological entropy and negentropy in any ranking, but topological entropy gave more precise information because it is dependent not only on the distribution of data but also on the sequence of GDP data of different countries. The 18th ranking was a critical ranking having very large topological entropy and negentropy. The GDPs of countries sharply dropped after the 18th ranking. The configurational entropy came out to be maximum at the minimum values of GDP, or vice versa. It usually started with a small negative value, and its magnitude became larger in time. However, there occurred severe fluctuations in many of the cases. It means the configurational entropy gets less negative (i.e. it increases) in time through fluctuations. Overall, the entropic analysis of the GDP values of countries provides quantitative information about how countries performed over the years. The methods used here can be applied to other time-series systems having similar dynamics to GDP, as well as to competitive systems.

Suggested Citation

  • Gündüz, Güngör & Kuzucuoğlu, Mahmut & Gündüz, Yalın, 2022. "Entropic characterization of Gross Domestic Product per capita (GDP) values of countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005416
    DOI: 10.1016/j.physa.2022.127831
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    as
    1. Ausloos, Marcel, 2020. "Rank–size law, financial inequality indices and gain concentrations by cyclist teams. The case of a multiple stage bicycle race, like Tour de France," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Inés Tejado & Emiliano Pérez & Duarte Valério, 2020. "Fractional Derivatives for Economic Growth Modelling of the Group of Twenty: Application to Prediction," Mathematics, MDPI, vol. 8(1), pages 1-21, January.
    3. Lin, Zhenquan & Meng, Fan, 2018. "Empirical analysis on the runners’ velocity distribution in city marathons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 533-541.
    4. Mimkes, Jürgen, 2010. "Stokes integral of economic growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1665-1676.
    5. Redelico, Francisco O. & Proto, Araceli N. & Ausloos, Marcel, 2009. "Hierarchical structures in the Gross Domestic Product per capita fluctuation in Latin American countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3527-3535.
    6. Tao, Yong, 2015. "Universal laws of human society’s income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 89-94.
    7. Yong Tao, 2015. "Universal Laws of Human Society's Income Distribution," Papers 1506.05418, arXiv.org.
    8. Po, Wan-Chen & Huang, Bwo-Nung, 2008. "Tourism development and economic growth–a nonlinear approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5535-5542.
    9. Özer, Mustafa & Malovic, Marko, 2020. "Ball and chain effect: Is Turkey’s growth rate constrained by current account deficit?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    10. Hu, Lunchao & Tian, Kailan & Wang, Xin & Zhang, Jiang, 2012. "The “S” curve relationship between export diversity and economic size of countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 731-739.
    11. Maksimović, Goran & Milosavljević, Valentina & Ćirković, Bratislav & Milošević, Božidar & Jović, Srđan & Alizamir, Meysam, 2017. "Analyzing of economic growth based on electricity consumption from different sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 37-40.
    12. Kantar, Ersin & Keskin, Mustafa, 2013. "The relationships between electricity consumption and GDP in Asian countries, using hierarchical structure methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5678-5684.
    13. Jokanović, Bojana & Lalic, Bojan & Milovančević, Miloš & Simeunović, Nenad & Marković, Dusan, 2017. "Economic development evaluation based on science and patents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 141-145.
    14. Kwong, Hok Shing & Nadarajah, Saralees, 2019. "Modelling dynamics of marathons – A mixture model approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    15. Tao, Yong, 2021. "Boltzmann-like income distribution in low and middle income classes: Evidence from the United Kingdom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    16. Fred Y. Ye, 2007. "A quantitative relationship between per capita GDP and scientometric criteria," Scientometrics, Springer;Akadémiai Kiadó, vol. 71(3), pages 407-413, June.
    17. Rashkovskiy, S.A., 2021. "Thermodynamics of markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
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