IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v632y2023ip2s0378437123009019.html
   My bibliography  Save this article

Amazing aspects of inequality indices (Gini and Kolkata Index) of COVID-19 confirmed cases in India

Author

Listed:
  • Ruz, Soumendra Nath

Abstract

Social inequalities are everywhere. The Gini Index (g) and the newly introduced Kolkata Index (k) are two simple indices for measuring inequality hidden in any kind of social issue. In this work, temporal variation of k and g for confirmed COVID-19 cases within 28 states and 8 union territories of India has been studied. The time-span of the study of this temporal variation is nearly two years and three months. A careful observation of this temporal variation of k and g reveals many interesting aspects. It hints at the limiting nature of the inequality indices hidden in social issues. This temporal variation also fluctuates between an upper and lower limit. Again, both inequality indices bear a negative correlation with the number of new COVID-19 cases detected in each 5 day interval. These features of temporal variation of inequality indices also help us to predict the future trend of COVID-19 cases.

Suggested Citation

  • Ruz, Soumendra Nath, 2023. "Amazing aspects of inequality indices (Gini and Kolkata Index) of COVID-19 confirmed cases in India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P2).
    • Handle: RePEc:eee:phsmap:v:632:y:2023:i:p2:s0378437123009019
    DOI: 10.1016/j.physa.2023.129346
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123009019
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2023.129346?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Manna, S.S. & Biswas, Soumyajyoti & Chakrabarti, Bikas K., 2022. "Near universal values of social inequality indices in self-organized critical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    2. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 116-137.
    3. Chatterjee, Arnab & Ghosh, Asim & Chakrabarti, Bikas K., 2017. "Socio-economic inequality: Relationship between Gini and Kolkata indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 583-595.
    4. Sourav Chowdhury & Suparna Roychowdhury & Indranath Chaudhuri, 2022. "A robust prediction from a minimal model of COVID-19 — Can we avoid the third wave?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(07), pages 1-16, July.
    5. Sinha, Antika & Chakrabarti, Bikas K., 2019. "Inequality in death from social conflicts: A Gini & Kolkata indices-based study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    6. Păcurar, Cristina-Maria & Necula, Bogdan-Radu, 2020. "An analysis of COVID-19 spread based on fractal interpolation and fractal dimension," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    7. Eliazar, Iddo I. & Sokolov, Igor M., 2010. "Measuring statistical heterogeneity: The Pietra index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 117-125.
    8. Banerjee, Suchismita & Chakrabarti, Bikas K. & Mitra, Manipushpak & Mutuswami, Suresh, 2020. "On the Kolkata index as a measure of income inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    9. Chakrabarti,Bikas K. & Chakraborti,Anirban & Chakravarty,Satya R. & Chatterjee,Arnab, 2013. "Econophysics of Income and Wealth Distributions," Cambridge Books, Cambridge University Press, number 9781107013445, November.
    10. Asim Ghosh & Arnab Chatterjee & Jun-ichi Inoue & Bikas K. Chakrabarti, 2015. "Inequality measures in kinetic exchange models of wealth distributions," Papers 1509.02711, arXiv.org, revised Feb 2016.
    11. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 93-115.
    12. Suchismita Banerjee & Soumyajyoti Biswas & Bikas K. Chakrabarti & Sai Krishna Challagundla & Asim Ghosh & Suhaas Reddy Guntaka & Hanesh Koganti & Anvesh Reddy Kondapalli & Raju Maiti & Manipushpak Mit, 2023. "Evolutionary dynamics of social inequality and coincidence of Gini and Kolkata indices under unrestricted competition," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-29, April.
    13. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    14. Joseph, Bijin & Chakrabarti, Bikas K., 2022. "Variation of Gini and Kolkata indices with saving propensity in the Kinetic Exchange model of wealth distribution: An analytical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    15. Asim Ghosh & Bikas K Chakrabarti, 2021. "Limiting Value of the Kolkata Index for Social Inequality and a Possible Social Constant," Papers 2102.01527, arXiv.org, revised Apr 2021.
    16. Aydiner, Ekrem & Cherstvy, Andrey G. & Metzler, Ralf, 2018. "Wealth distribution, Pareto law, and stretched exponential decay of money: Computer simulations analysis of agent-based models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 278-288.
    17. Suchismita Banerjee & Bikas K. Chakrabarti & Manipushpak Mitra & Suresh Mutuswami, 2020. "Inequality Measures: The Kolkata index in comparison with other measures," Papers 2005.08762, arXiv.org, revised Oct 2020.
    18. Tam'as S. Bir'o & Zolt'an N'eda, 2020. "Gintropy: Gini index based generalization of Entropy," Papers 2007.04829, arXiv.org.
    19. Ghosh, Asim & Chakrabarti, Bikas K., 2021. "Limiting value of the Kolkata index for social inequality and a possible social constant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ghosh, Asim & Chakrabarti, Bikas K., 2021. "Limiting value of the Kolkata index for social inequality and a possible social constant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    2. Joseph, Bijin & Chakrabarti, Bikas K., 2022. "Variation of Gini and Kolkata indices with saving propensity in the Kinetic Exchange model of wealth distribution: An analytical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    3. Chatterjee, Arnab & Ghosh, Asim & Chakrabarti, Bikas K., 2017. "Socio-economic inequality: Relationship between Gini and Kolkata indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 583-595.
    4. Biró, Tamás S. & Telcs, András & Józsa, Máté & Néda, Zoltán, 2023. "Gintropic scaling of scientometric indexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    5. Manna, S.S. & Biswas, Soumyajyoti & Chakrabarti, Bikas K., 2022. "Near universal values of social inequality indices in self-organized critical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    6. Banerjee, Suchismita & Chakrabarti, Bikas K. & Mitra, Manipushpak & Mutuswami, Suresh, 2020. "On the Kolkata index as a measure of income inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Suchismita Banerjee & Bikas K. Chakrabarti & Manipushpak Mitra & Suresh Mutuswami, 2020. "Inequality Measures: The Kolkata index in comparison with other measures," Papers 2005.08762, arXiv.org, revised Oct 2020.
    8. Christopher W. Kulp & Michael Kurtz & Charles Hunt & Matthew Velardi, 2023. "The distribution of wealth: an agent-based approach to examine the effect of estate taxation, skill inheritance, and the Carnegie Effect," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(2), pages 397-415, April.
    9. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 116-137.
    10. D. S. Quevedo & C. J. Quimbay, 2019. "Piketty's second fundamental law of capitalism as an emergent property in a kinetic wealth-exchange model of economic growth," Papers 1903.00952, arXiv.org, revised Mar 2019.
    11. Masato Okamoto, 2022. "Level-adjusted S-Gini index and its complementary index as a pair of sensitivity-adjustable inequality measures," Economics Bulletin, AccessEcon, vol. 42(1), pages 1-16.
    12. Ghosh, Asim & Chakrabarti, Bikas K., 2023. "Scaling and kinetic exchange like behavior of Hirsch index and total citation distributions: Scopus-CiteScore data analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    13. Inoue, Jun-ichi & Ghosh, Asim & Chatterjee, Arnab & Chakrabarti, Bikas K., 2015. "Measuring social inequality with quantitative methodology: Analytical estimates and empirical data analysis by Gini and k indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 184-204.
    14. Ghosh, Asim & Chatterjee, Arnab & Inoue, Jun-ichi & Chakrabarti, Bikas K., 2016. "Inequality measures in kinetic exchange models of wealth distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 465-474.
    15. Palestini, Arsen & Pignataro, Giuseppe, 2016. "A graph-based approach to inequality assessment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 65-78.
    16. Grachev, Gennady A., 2022. "Size distribution of states, counties, and cities in the USA: New inequality form information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    17. Iddo Eliazar & Giovanni M. Giorgi, 2020. "From Gini to Bonferroni to Tsallis: an inequality-indices trek," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 119-153, August.
    18. Kiran Sharma & Subhradeep Das & Anirban Chakraborti, 2017. "Global Income Inequality and Savings: A Data Science Perspective," Papers 1801.00253, arXiv.org, revised Aug 2018.
    19. Wei Zhong, 2017. "Simulating influenza pandemic dynamics with public risk communication and individual responsive behavior," Computational and Mathematical Organization Theory, Springer, vol. 23(4), pages 475-495, December.
    20. De Martino, Giuseppe & Spina, Serena, 2015. "Exploiting the time-dynamics of news diffusion on the Internet through a generalized Susceptible–Infected model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 634-644.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:632:y:2023:i:p2:s0378437123009019. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.