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A nonparametric analysis of the growth process of Indian cities

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  • Luckstead, Jeff
  • Devadoss, Stephen

Abstract

We examine the growth process of the largest cities in India for the post economic reform period 1991–2011 to analyze Gibrat’s and Zipf’s laws by applying nonparametric estimation. The results from stochastic kernel, contour plots, and expected growth rate and variance conditional on city size establish that Gibrat’s law holds for largest cities in India, i.e., city growth is independent of population size, and the local Zipf exponent is around one and stable. Gibrat’s law is also confirmed by the parametric regression of the aggregate relationship of the growth rate on city size.

Suggested Citation

  • Luckstead, Jeff & Devadoss, Stephen, 2014. "A nonparametric analysis of the growth process of Indian cities," Economics Letters, Elsevier, vol. 124(3), pages 516-519.
  • Handle: RePEc:eee:ecolet:v:124:y:2014:i:3:p:516-519 DOI: 10.1016/j.econlet.2014.07.022
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    References listed on IDEAS

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    1. Glaeser, Edward L. & Scheinkman, JoseA. & Shleifer, Andrei, 1995. "Economic growth in a cross-section of cities," Journal of Monetary Economics, Elsevier, vol. 36(1), pages 117-143, August.
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    4. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
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    7. Ioannides, Yannis M. & Overman, Henry G., 2003. "Zipf's law for cities: an empirical examination," Regional Science and Urban Economics, Elsevier, vol. 33(2), pages 127-137, March.
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    10. Urzua, Carlos M., 2000. "A simple and efficient test for Zipf's law," Economics Letters, Elsevier, vol. 66(3), pages 257-260, March.
    11. Stefano Magrini, 2007. "Analysing Convergence through the Distribution Dynamics Approach: Why and how?," Working Papers 2007_13, Department of Economics, University of Venice "Ca' Foscari".
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    Citations

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    Cited by:

    1. Luckstead, Jeff & Devadoss, Stephen, 2014. "Do the world’s largest cities follow Zipf’s and Gibrat’s laws?," Economics Letters, Elsevier, vol. 125(2), pages 182-186.
    2. Devadoss, Stephen & Luckstead, Jeff, 2015. "Growth process of U.S. small cities," Economics Letters, Elsevier, vol. 135(C), pages 12-14.
    3. Devadoss, Stephen & Luckstead, Jeff, 2016. "Size distribution of U.S. lower tail cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 158-162.

    More about this item

    Keywords

    Gibrat’s law; Growth process; Indian cities; Local Zipf exponent;

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Regional Migration; Regional Labor Markets; Population

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