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Size distribution of U.S. lower tail cities

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  • Devadoss, Stephen
  • Luckstead, Jeff

Abstract

Studies that analyzed the size distribution of U.S. cities have mainly focused on the upper tail and showed that these cities adhere to Zipf’s law. However, even though a large number of cities are in the lower tail, very few studies have examined the distribution of these small cities because of data limitations. We apply reverse Pareto and reverse general Pareto distributions to analyze U.S. lower tail cities. Our results show the power law behavior of lower tail U.S. cities is accurately represented by both the reverse Pareto and general Pareto.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:158-162
    DOI: 10.1016/j.physa.2015.09.077
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    References listed on IDEAS

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    1. Luckstead, Jeff & Devadoss, Stephen, 2014. "A nonparametric analysis of the growth process of Indian cities," Economics Letters, Elsevier, vol. 124(3), pages 516-519.
    2. Luckstead, Jeff & Devadoss, Stephen, 2014. "A comparison of city size distributions for China and India from 1950 to 2010," Economics Letters, Elsevier, vol. 124(2), pages 290-295.
    3. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    4. 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.
    5. Devadoss, Stephen & Luckstead, Jeff & Danforth, Diana & Akhundjanov, Sherzod, 2016. "The power law distribution for lower tail cities in India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 193-196.
    6. 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.
    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.
    8. Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-1683, September.
    9. Urzua, Carlos M., 2000. "A simple and efficient test for Zipf's law," Economics Letters, Elsevier, vol. 66(3), pages 257-260, March.
    10. Gangopadhyay, Kausik & Basu, B., 2009. "City size distributions for India and China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2682-2688.
    11. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
    12. Moshe Levy, 2009. "Gibrat's Law for (All) Cities: Comment," American Economic Review, American Economic Association, vol. 99(4), pages 1672-1675, September.
    13. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    14. William J. Reed, 2002. "On the Rank‐Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17, February.
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    Cited by:

    1. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & AL-Dhurafi, Nasr Ahmed, 2020. "The power-law distribution for the income of poor households," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    2. Lu, Yuhai & Gong, Mincheng & Lu, Linzhuo & Wang, Yaqin & Wang, Yang, 2024. "Urban polycentrism and total-factor energy efficiency: An analysis based on the night light data," Technological Forecasting and Social Change, Elsevier, vol. 198(C).
    3. Kwong, Hok Shing & Nadarajah, Saralees, 2019. "A note on “Pareto tails and lognormal body of US cities size distribution”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 55-62.
    4. Dimitrios TSIOTAS, 2016. "City-Size Or Rank-Size Distribution? An Empirical Analysis On Greek Urban Populations," Theoretical and Empirical Researches in Urban Management, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 11(4), pages 5-16, November.
    5. Ignacio Rosal, 2018. "Power laws in EU country exports," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(2), pages 311-337, May.
    6. Akhundjanov, Sherzod B. & Devadoss, Stephen & Luckstead, Jeff, 2017. "Size distribution of national CO2 emissions," Energy Economics, Elsevier, vol. 66(C), pages 182-193.
    7. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & Hussain, Saiful Izzuan, 2021. "Measuring income inequality: A robust semi-parametric approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    8. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & Hussain, Saiful Izzuan, 2019. "A robust and efficient estimator for the tail index of inverse Pareto distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 431-439.
    9. Milian Bachem & Lerby Ergun & Casper de Vries, 2021. "Covariates Hiding in the Tails," Staff Working Papers 21-45, Bank of Canada.

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