IDEAS home Printed from https://ideas.repec.org/a/eee/soceps/v81y2022ics0038012121001993.html
   My bibliography  Save this article

Strata-based quantification of distributional uncertainty in socio-economic indicators: A comparative study of Indian states

Author

Listed:
  • Ghosh, Abhik
  • Mallick, Olivia
  • Chattopadhay, Souvik
  • Basu, Banasri

Abstract

This paper reports a comprehensive study of distributional uncertainty in a few socio-economic indicators across the various states of India over the years 2001–2011. We show that the discrete generalized beta (DGB) distribution, a typical rank order distribution, provide excellent fits to the district-wise empirical data for the population size, literacy rate (LR) and work participation rate (WPR) within every states in India, through its two distributional parameters. Moreover, taking resort to the entropy formulation of the DGB distribution, a proposed uncertainty percentage (UP) unveils the dynamics of the uncertainty of LR and WPR in all states of India. We have also commented on the changes in the estimated parameters and the UP values from the years 2001–2011. Additionally, a gender based analysis of the distribution of these important socio-economic variables within different states of India has also been discussed. Interestingly, it has been observed that, although the distributions of the numbers of literate and working people has a direct (linear) correspondence with that of the population size, the literacy and work-participation rates are distributed independently of the population distributions. This detailed study of distributional uncertainty or inequalities of different socio-economic indicators within and between the various strata along with their relations with the population may help policy makers to frame better policies for a sustainable and equitable development of the country.

Suggested Citation

  • Ghosh, Abhik & Mallick, Olivia & Chattopadhay, Souvik & Basu, Banasri, 2022. "Strata-based quantification of distributional uncertainty in socio-economic indicators: A comparative study of Indian states," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    • Handle: RePEc:eee:soceps:v:81:y:2022:i:c:s0038012121001993
    DOI: 10.1016/j.seps.2021.101207
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0038012121001993
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.seps.2021.101207?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. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    2. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," American Economic Review, American Economic Association, vol. 101(5), pages 2205-2225, August.
    3. Thomas J. Holmes & Sanghoon Lee, 2010. "Cities as Six-by-Six-Mile Squares: Zipf's Law?," NBER Chapters, in: Agglomeration Economics, pages 105-131, National Bureau of Economic Research, Inc.
    4. Grossman, Guy & Lewis, Janet I., 2014. "Administrative Unit Proliferation," American Political Science Review, Cambridge University Press, vol. 108(1), pages 196-217, February.
    5. Jian Gao & Bogang Jun & Alex ‘Sandy’ Pentland & Tao Zhou & César A. Hidalgo, 2021. "Spillovers across industries and regions in China’s regional economic diversification," Regional Studies, Taylor & Francis Journals, vol. 55(7), pages 1311-1326, July.
    6. Marcel Ausloos & Roy Cerqueti, 2016. "A Universal Rank-Size Law," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-15, November.
    7. Ghosh, Abhik & Shreya, Preety & Basu, Banasri, 2021. "Maximum entropy framework for a universal rank order distribution with socio-economic applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    8. Ghosh, Abhik & Basu, Banasri, 2019. "Universal City-size distributions through rank ordering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    9. Andres Gomez-Lievano & Oscar Patterson-Lomba & Ricardo Hausmann, 2017. "Explaining the prevalence, scaling and variance of urban phenomena," Nature Human Behaviour, Nature, vol. 1(1), pages 1-6, January.
    10. Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
    11. Jian Gao & Yi-Cheng Zhang & Tao Zhou, 2019. "Computational Socioeconomics," Papers 1905.06166, arXiv.org.
    12. Alvarez-Martínez, R. & Cocho, G. & Rodríguez, R.F. & Martínez-Mekler, G., 2014. "Birth and death master equation for the evolution of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 198-208.
    13. Gao, Jian & Zhou, Tao, 2018. "Quantifying China’s regional economic complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1591-1603.
    14. Luís M A Bettencourt & José Lobo & Deborah Strumsky & Geoffrey B West, 2010. "Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime across Cities," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-9, November.
    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. Lee, Sanghoon & Li, Qiang, 2013. "Uneven landscapes and city size distributions," Journal of Urban Economics, Elsevier, vol. 78(C), pages 19-29.
    2. Ferdinand Rauch, 2014. "Cities as spatial clusters," Journal of Economic Geography, Oxford University Press, vol. 14(4), pages 759-773.
    3. Ioannides, Yannis M. & Zhang, Junfu, 2017. "Walled cities in late imperial China," Journal of Urban Economics, Elsevier, vol. 97(C), pages 71-88.
    4. Wen-Tai Hsu & Tomoya Mori & Tony E. Smith, 2014. "Spatial Patterns and Size Distributions of Cities," KIER Working Papers 882, Kyoto University, Institute of Economic Research.
    5. repec:wiw:wiwrsa:ersa14p34 is not listed on IDEAS
    6. Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia & María Vera-Cabello, 2015. "Size distributions for all cities: Which one is best?," Papers in Regional Science, Wiley Blackwell, vol. 94(1), pages 177-196, March.
    7. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    8. Kristian Giesen & Jens Suedekum, 2012. "The size distribution across all “cities”: a unifying approach," Working Papers 2012/2, Institut d'Economia de Barcelona (IEB).
    9. Christian Düben & Melanie Krause, 2021. "Population, light, and the size distribution of cities," Journal of Regional Science, Wiley Blackwell, vol. 61(1), pages 189-211, January.
    10. Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013. "A new framework for the US city size distribution: Empirical evidence and theory," MPRA Paper 52190, University Library of Munich, Germany.
    11. Ge Hong & Shouhong Xie & Hanbing Li, 2022. "Spatial and Temporal Evolution Characteristics of China’s City Size Distribution Based on New Criteria," Sustainability, MDPI, vol. 14(24), pages 1-20, December.
    12. Miguel Puente-Ajovín & Arturo Ramos, 2015. "On the parametric description of the French, German, Italian and Spanish city size distributions," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 489-509, March.
    13. Valente J. Matlaba & Mark J. Holmes & Philip McCann & Jacques Poot, 2013. "A Century Of The Evolution Of The Urban System In Brazil," Review of Urban & Regional Development Studies, Wiley Blackwell, vol. 25(3), pages 129-151, November.
    14. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," American Economic Review, American Economic Association, vol. 101(5), pages 2205-2225, August.
    15. Bluhm, Richard & Krause, Melanie, 2022. "Top lights: Bright cities and their contribution to economic development," Journal of Development Economics, Elsevier, vol. 157(C).
    16. Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
    17. Marco Modica, 2014. "Does the EU have homogeneous urban structure area? The role of agglomeration and the impact of shocks on urban structure," ERSA conference papers ersa14p229, European Regional Science Association.
    18. Rafael González-Val, 2019. "US city-size distribution and space," Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(3), pages 283-300, July.
    19. Arshad, Sidra & Hu, Shougeng & Ashraf, Badar Nadeem, 2019. "Zipf’s law, the coherence of the urban system and city size distribution: Evidence from Pakistan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 87-103.
    20. Kwok Tong Soo, 2018. "Innovation across cities," Journal of Regional Science, Wiley Blackwell, vol. 58(2), pages 295-314, March.
    21. Kristian GIESEN & Jens SÜDEKUM, 2012. "The French Overall City Size Distribution," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 107-126.

    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:soceps:v:81:y:2022:i:c:s0038012121001993. 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.elsevier.com/locate/seps .

    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.