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Beta, sigma and club convergence: Indian experience from 1980 to 2015

  • Sulekha HembramEmail author
  • Sushil Kr. Haldar
Article
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Abstract

The debate over standard β, σ, and club convergence is empirically re-examined in India with respect to per capita net state domestic product (PCNSDP) across 22 states over time (viz. 1980–1981 to 2015–2016). We go beyond the σ convergence, and the distribution-sensitive inequality measure such as generalized entropy is used to exploring the pattern of distribution of PCNSDP among states over time. We find σ divergence, rising trend of inequality of PCNSDP with a higher sensitivity to the right tail of the distribution. The results show that there exists absolute β divergence but conditional β convergence; the conditioning variables which appear to be significant are per capita bank deposit (PCBD) and composite physical infrastructure index. The kernel density estimation and Markov’s transitional probability matrix (TPM) show that there exists club convergence among the states; we find higher stability, but lower mobility indices during different time intervals confirm the existence of club convergence in the short run; however, the long-run TPM gives the opposite results. The long-run TPM shows that very few states are stable to their respective clubs, but most of the states have been experiencing transitional movement from higher to lower income group over time; thus, our results do not support the earlier findings of ‘missing middle’.

Keywords

Club convergence Stochastic kernel Markov process Generalized entropy Transitional probability matrix 

JEL Classification

C14 C23 H54 H59 O49 

Notes

Acknowledgements

At the very outset, we express our sincere thanks and gratitude to an anonymous referee of this Journal for offering valued comments and suggestions on this paper. The paper was presented in three seminars namely at the (a) DSA Seminar on ‘Globalization and Regional Development’, organized by the Department of Economics, University of Calcutta on 28th March, 2017; (b) 7th West Bengal Growth Conference organized by IGC-ISI (SOSU), ISI-Kolkata during 26–27 Dec.2017; and (c) National Workshop on “Growth and Productivity of Indian Economy: Contemporary Issues” during 11–12 February 2019 at Delhi School of Economics (DSE), University of Delhi. Authors are benefitted from the comments of the participants of all the conferences; we are especially grateful to Sabyasachi Kar for providing befitting comments and suggestions on this paper at the DSE Conference.

References

  1. Adabar K (2004) Economic growth and convergence in India. Working paper series 153. Institute for social and economic change. http://www.isid.ac.in/~planning/ka.pdf
  2. Ahluwalia, M. (2000). Economic performance of states in post-reforms period. Economic and Political Weekly, 35(19), 1637–1648.Google Scholar
  3. Aiyar, S (2001): “Growth theory and convergence across Indian states: a panel study,” in India at the crossroads: sustaining growth and reducing poverty edited by Tim Callen, Patricia Reynolds, and Christopher Towe, International Monetary Fund, 15 Feb.Google Scholar
  4. Aiyar, S., & Mody, A. (2011) “The demographic dividend: evidence from the Indian States” IMF working paper WP/11/38, February, European Department. https://www.imf.org/external/pubs/ft/wp/2011/wp1138.pdf
  5. Atella, V., & Rosati, F. C. (2000). Uncertainty about children’s survival and fertility: a test using Indian micro-data. Journal of Population Economics, 13, 263–278.CrossRefGoogle Scholar
  6. Bajpai, N., & Sachs, J.D. (1996). Trends in interstate inequalities of income in India. Harvard Institute for International Development, Harvard University (development discussion paper no. 528).Google Scholar
  7. Bandyopadhyay, S. (2004). Twin peaks—distribution dynamics of economic growth across Indian states. In A. Shorrocks & R. van der Hoeven (Eds.), Growth, inequality and poverty: prospects for pro-poor growth. Oxford: Oxford University Press.Google Scholar
  8. Bandyopadhyay, S. (2011). Rich states, poor states: convergence and polarisation in India. Scottish Journal of Political Economy, 58(3), 414–436.CrossRefGoogle Scholar
  9. Bandyopadhyay, S. (2012). Convergence club empirics: evidence from Indian states. Research on Economic Inequality, 20, 175–203.CrossRefGoogle Scholar
  10. Barro, Robert J., & Sala-i-Martin, Xavier. (1992). Convergence. Journal of Political Economy, 100(2), 223–251.CrossRefGoogle Scholar
  11. Becker, G.S., Glaeser, E.L., & Murphy, K.M. (1999). Population and economic growth. The American Economic Review, vol. 89, no. 2, Papers and Proceedings of the One Hundred Eleventh Annual Meeting of the American Economic Association. (May, 1999), pp. 145–149Google Scholar
  12. Bernard, A. B., & Durlauf, S. N. (1995). Convergence in international output. Journal of Applied Econometrics, 10, 97–108.CrossRefGoogle Scholar
  13. Bernard, A. B., & Durlauf, S. N. (1996). Interpreting tests of the convergence hypothesis. Journal of Econometrics, 71, 161–173.CrossRefGoogle Scholar
  14. Bhattacharya, G., & Haldar, S. K. (2015). Does demographic dividend yield economic dividend? India, a case study. Economics Bulletin, 35(2), 1274–1291.Google Scholar
  15. Bloom, David, & Canning, David. (2001). Cumulative causality, economic growth, and the demographic transition. In Nancy Birdsall, Allen C. Kelley, & Steven W. Sinding (Eds.), Population matters: demographic change, economic growth, and poverty in the developing world (pp. 165–197). Oxford: Oxford University Press.CrossRefGoogle Scholar
  16. Bulli, S. (2001). Distribution dynamics and cross-country convergence: a new approach. Scottish Journal of Political Economy, 48(2), 226–243.CrossRefGoogle Scholar
  17. Cashin, P., & Sahay, R. (1996). Internal migration, centre-state grants, and economic growth in the states of India. IMF Staff Papers, 43, 123–171.CrossRefGoogle Scholar
  18. Chakraborty, P., & Chakraborty, L. (2018). Federalism, fiscal asymmetries and economic convergence: evidence from Indian states, NIPFP working paper series, working paper no. 232. http://www.nipfp.org.in/publications/working-papers/1827/
  19. Chaudhuri, B., Mazumdar, M., Teachout, M., & Marimoutou, V. (2007) “Growth, regional disparity and convergence clubs in India: a sectoral level analysis and decomposition. www.iariw.org/papers/2012/MazumdarAbstract.pdf
  20. Cherodian, R., & Thirlwall, A. P. (2015). Regional disparities in per capita income in India: convergence or divergence? Journal of Post Keynesian Economics, 37(3), 384–407.CrossRefGoogle Scholar
  21. Chikte, (2011). Income convergence and regional growth in India: before and after the economic liberalization. South Asia Economic Journal, 12(2), 239–269.CrossRefGoogle Scholar
  22. Chowdhury (2014). Regional disparity in India-a study of three decades using a comparable database. Paper Prepared for the IARIW 33rd General Conference Rotterdam, the Netherlands, 24–30 Aug 2014Google Scholar
  23. Cowell, F. (2003). Theil, inequality and the structure of income distribution. Discussion Paper No. DARP 67, Distributional Analysis Research Programme, The Toyota Centre, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE, London.Google Scholar
  24. Cowell, F. (2011). Measuring Inequality (3rd ed.). Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
  25. Dasgupta, D., Maity, P., Mukherjee, R., Sarkar, S., & Chakroborty, S. (2000). Growth and inter state disparities in India. Economic and Political Weekly, 35(27), 2413–2422.Google Scholar
  26. Dholakia, R. H. (1994). Spatial dimension of acceleration of economic growth in India. Economic and Political Weekly, 29, 2303–2309.Google Scholar
  27. Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74, 574–599.CrossRefGoogle Scholar
  28. Evans, P. (1998). Using panel data to evaluate growth theories. International Economic Review, 29(2), 249–265.Google Scholar
  29. Farahani, M., Subramanian, S. V., & Canning, D. (2010). Effects of state level public spending on health on the mortality probability in India. Health Economics, 19(11), 1361–1376.CrossRefGoogle Scholar
  30. Feyrer, James. (2007). Demographics and productivity. Review of Economics and Statistics, 89(1), 100–109.CrossRefGoogle Scholar
  31. Fiaschi, D., & Lavezzi, A. M. (2003). Distribution dynamics and nonlinear growth. Journal of Economic Growth, 8(4), 379–401.CrossRefGoogle Scholar
  32. Frankenberg, E. (1998). The relationship between infant and child mortality and subsequent fertility in Indonesia. In M. R. Montgomery & B. Cohen (Eds.), From death to birth: mortality decline and reproductive change (pp. 316–338). Washington: National Academies Press.Google Scholar
  33. Fujita, M. (2012). Thunen and the new economic geography. Regional Science and Urban Economics, 42(6), 907–912.CrossRefGoogle Scholar
  34. Fujita, M., Krugman, P., & Venables, A. J. (2001). The spatial economy: cities, regions, and international trade. Cambridge: The MIT Press.Google Scholar
  35. Gaur, A.K. (2010). Regional disparities in economic growth: a case study of Indian states. Paper presented at IARIW 31st general Conference, St-Gallen, Switzerland, 22–28 Aug. http://www.iariw.org
  36. Ghate, et al. (2014). Remoteness, urbanization and India’s unbalanced growth. World Development, 66, 587.Google Scholar
  37. Ghosh, M. (2008). Economic reforms, growth and regional divergence in India. Margin: The Journal of Applied Economic Research, 2(3), 265–285.CrossRefGoogle Scholar
  38. Ghosh, B., Marjit, S., & Neogi, C. (1998). Economic growth and regional divergence in India: 1960 to 1995. Economic and Political Weekly, 33, 1623–1630.Google Scholar
  39. Gunji, H., & Nikaido, Y. (2010). Convergence across Indian states: a re-evaluation. Journal of International Economic Studies, 24, 133–153.Google Scholar
  40. International Monetary Fund (2016). World economic outlook database. https://www.imf.org.
  41. Islam, N. (1995). Growth empirics: a panel data approach. Quarterly Journal of Economics, 110(4), 1127–1170.CrossRefGoogle Scholar
  42. James, K. S. (2008). Glorifying malthus: current debate on demographic dividend in India. Economic and Political Weekly, 43(25), 63–69.Google Scholar
  43. Kar, S., Jha, D., & Kateja, A. (2011). Club-convergence and polarisation of states: a nonparametric analysis of post-reform India. Indian Growth and Development Review, 4(1), 53–72.CrossRefGoogle Scholar
  44. Kochhar, K., Kumar, U., Rajan, R., Subramanian, A., & Tokatlidis, I. (2006). India’s pattern of development: what happened, what follows? Journal of Monetary Economics, 53(5), 981–1019.CrossRefGoogle Scholar
  45. Kuc, M. (2015). The use of Markov chains in the social convergence analysis. Proceedings of the 9th Professor Aleksander Zelias International Conference on Modelling and Forecasting of Socio-Economic Phenomena. Cracow: Foundation of the Cracow University of Economics, pp. 118–126.Google Scholar
  46. Kumar, K., Ram, F., & Singh, A. (2013). Public health spending on infant and child mortality in India during the years 1980–2006. The Lancet, 381, S76.CrossRefGoogle Scholar
  47. Litchfield, J.A. (1999) Inequality: methods and tools’, text for world bank’s web site on inequality, poverty, and socio-economic performance. http://www.worldbank.org/poverty/inequal/index.html.
  48. Lolayekar, A., & Mukhopadhyay, P. (2017). Regional income convergence in India and spatial dependence. http://irgu.unigoa.ac.in/drs/handle/unigoa/4678.
  49. Lucas, R. E. (1988). On the mechanics of economic development. Journal of Monetary Economics, 22, 3–42.CrossRefGoogle Scholar
  50. Mankiw, N. G., Romer, D., & Weil, D. N. (1992). A contribution to the empirics of economic growth. Quarterly Journal of Economics, 107, 407–437.CrossRefGoogle Scholar
  51. Marjit, S., & Mitra, S. (1996). Convergence in regional growth rates: Indian research agenda. Economic and Political Weekly, 31, 2239–2242.Google Scholar
  52. Mishra, A., & Mishra, V. (2017). Re-examination of convergence hypothesis among Indian states in panel stationarity testing framework with structural breaks. Applied Economics, 50(3), 268–286.CrossRefGoogle Scholar
  53. Monfort, P. (2008). Convergence of EU regions: measures and evolution. European Union Regional Policy, working paper, n0 01.Google Scholar
  54. Monfort, Mercedes, Cuestas, Juan Carlos, & Ordonez, Javier. (2013). Real convergence in Europe: a cluster analysis. Economic Modeling, 33, 689.CrossRefGoogle Scholar
  55. Nagaraj, R., Varoukadis, A. & Venganzones, M. (1998). Long run growth trends and convergence across Indian states. (Working paper no. 131) OECD development.Google Scholar
  56. Oxford Poverty and Human Development Initiative (2017) University of Oxford. https://ophi.org.uk/
  57. Paas, T., Kuusk, A., Schlitte, F., & Võrk, A. (2007). Econometric analysis of income convergence in selected EU countries and their nuts 3 level regions”, in Tartu (2007), University of Tartu Faculty of Economics and Business Administration, Tartu University Press, www.tyk.ee, order no. 484
  58. Pellegrini, G. (2002). Proximity, polarization, and local labor market performances. Networks and Spatial Economics, 2, 151–173.CrossRefGoogle Scholar
  59. Perils, S. (1952). Theory of Matrices. Cambridge, Mass: AddisoniVesley.Google Scholar
  60. Pesaran, M. H. (2007). A simple panel unit root test in the presence of cross-section dependence. Journal of Applied Econometrics, 22(2), 265–312.CrossRefGoogle Scholar
  61. Philips, Peter C. B., & Sul, Donggyu. (2007). Transition modeling and econometric convergence tests. Econometrica, 75(6), 1771–1855.CrossRefGoogle Scholar
  62. Prettner, K. (2013). Population aging and endogenous economic growth. Journal of Population Economics, 26(2), 811–834.CrossRefGoogle Scholar
  63. Purefield (2006). Mind the gap-is economic growth in India leaving some states behind? An IMF working paper.Google Scholar
  64. Quah, D. T. (1993). Galton’s fallacy and the convergence hypothesis. Scandinavian Journal of Economics, 95, 427–443.CrossRefGoogle Scholar
  65. Quah, D. T. (1996). Twin peaks: growth and convergence in models of distribution dynamics. The Economic Journal, 106, 1045–1055.CrossRefGoogle Scholar
  66. Quah, D. T. (1997). Empirics for growth and distribution: stratification, polarization and convergence clubs. Journal of Economic Growth, 2(1), 27–59.CrossRefGoogle Scholar
  67. Rao, M. G., Shand, R. T., & Kalirajan, K. P. (1999). Convergence of incomes across Indian states: a divergent view. Economic and Political Weekly, 34, 769–778.Google Scholar
  68. Romer, P. (1986). Increasing returns and long-run growth. Journal of Political Economy, 94(5), 1002–1037.CrossRefGoogle Scholar
  69. Sala-i-Martin, X. (1996). The classical approach to convergence analysis. Economic Journal, 106(437), 1019–1036.CrossRefGoogle Scholar
  70. Sandberg, J. (2006). Infant mortality, social networks, and subsequent fertility. American Sociological Review, 71, 288–309.CrossRefGoogle Scholar
  71. Shorrocks, A. F. (1978). The measurement of mobility. Econometrica, 46, 1013.CrossRefGoogle Scholar
  72. Silverman, B. W. (1986). Density estimation for statistics and data analysis (1st ed., pp. 34–74). London: Chapman & Hall.CrossRefGoogle Scholar
  73. Singh, N., & Srinvasan, T. N. (2002). Indian federalism, economic reform and globalisation (pp. 301–363). Cambridge: Cambridge University Press.  https://doi.org/10.1017/CBO9780511511004.007.Google Scholar
  74. Sodsriwiboon, P., & Kalra, S. (2010). Growth convergence and spillovers among Indian states: what matters? What does not? IMF working paper, working paper no. 10/96Google Scholar
  75. Sofi, A. A., & Durai, S. R. S. (2017). Income convergence in India: evidence from nonparametric panel data. Journal of Economic Studies, 44(3), 400–411.CrossRefGoogle Scholar
  76. Solow, R. M. (1956). A contribution to the theory of economic growth. The Quarterly Journal of Economics, 70(1), 65–94.CrossRefGoogle Scholar
  77. Solow, R.M. (2000). Unemployment in the United States and in Europe-a contrast and the reasons. CESifo Working Paper Series, 231, CESifo Group Munich.Google Scholar
  78. Stefanoudakis, J.H. (2011). Club convergence in the European Union-analyzing the impact of the financial crisis of 2008. Stockholm School of Economics. arc.hhs.se/download.aspx?mediumid=1404
  79. Tiwari, A. K., & Kalita, M. (2012). Testing income convergence: evidence from Indian states using panel linear and non-linear unit root tests. The Economic Research Guardian, 2(1), 2012.Google Scholar
  80. Trivedi, K. (2003). Regional convergence and catch-up in India between 1960 and 1992. Nuffield College (working paper 2003-W01): University of Oxford.Google Scholar

Copyright information

© Editorial Office, Indian Economic Review 2019

Authors and Affiliations

  1. 1.Department of EconomicsJadavpur UniversityKolkataIndia

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