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The Spanish spatial city size distribution

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  • González-Val, Rafael

Abstract

This paper analyses the Spanish city size distribution from a new perspective, focusing on the role played by distance. Using un-truncated data from all cities in 1900 and 2011, we study the spatial distribution of cities and how the city size distribution varies with distance. First, K-densities are estimated to identify different spatial patterns depending on city size, with significant patterns of dispersion found for medium-sized and large cities. Second, using a distance-based approach that considers all possible combinations of cities within a 200-km radius, we analyse the influence of distance on the city size distribution parameters, considering both the Pareto and lognormal distributions. The results validate the Pareto distribution in most of the cases regardless of city size, and the lognormal distribution at short distances.

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  • González-Val, Rafael, 2020. "The Spanish spatial city size distribution," MPRA Paper 101195, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:101195
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    1. Kristian Giesen & Jens Südekum, 2011. "Zipf's law for cities in the regions and the country," Journal of Economic Geography, Oxford University Press, vol. 11(4), pages 667-686, July.
    2. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    3. 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.
    4. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1077-1106.
    5. Cuberes, David & Desmet, Klaus & Rappaport, Jordan, 2021. "Urban growth shadows," Journal of Urban Economics, Elsevier, vol. 123(C).
    6. Gilles Duranton & Henry G. Overman, 2008. "Exploring The Detailed Location Patterns Of U.K. Manufacturing Industries Using Microgeographic Data," Journal of Regional Science, Wiley Blackwell, vol. 48(1), pages 213-243, February.
    7. Garcia-López, Miquel-Ángel & Holl, Adelheid & Viladecans-Marsal, Elisabet, 2015. "Suburbanization and highways in Spain when the Romans and the Bourbons still shape its cities," Journal of Urban Economics, Elsevier, vol. 85(C), pages 52-67.
    8. Rafael González-Val & Daniel A. Tirado-Fabregat & Elisabet Viladecans-Marsal, 2017. "Market potential and city growth: Spain 1860–1960," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 11(1), pages 31-61, January.
    9. Paul Cheshire & Stefano Magrini, 2006. "Population growth in European cities: Weather matters - but only nationally," Regional Studies, Taylor & Francis Journals, vol. 40(1), pages 23-37.
    10. Fujita, Masahisa & Krugman, Paul & Mori, Tomoya, 1999. "On the evolution of hierarchical urban systems1," European Economic Review, Elsevier, vol. 43(2), pages 209-251, February.
    11. Giesen, Kristian & Zimmermann, Arndt & Suedekum, Jens, 2010. "The size distribution across all cities - Double Pareto lognormal strikes," Journal of Urban Economics, Elsevier, vol. 68(2), pages 129-137, September.
    12. Arribas-Bel, Daniel & Garcia-López, M.-À. & Viladecans-Marsal, Elisabet, 2021. "Building(s and) cities: Delineating urban areas with a machine learning algorithm," Journal of Urban Economics, Elsevier, vol. 125(C).
    13. Julie Le Gallo & Coro Chasco, 2009. "Spatial analysis of urban growth in Spain, 1900–2001," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 59-80, Springer.
    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.
    15. 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.
    16. Rafael González-Val & Luis Lanaspa & Fernando Sanz-Gracia, 2014. "New Evidence on Gibrat’s Law for Cities," Urban Studies, Urban Studies Journal Limited, vol. 51(1), pages 93-115, January.
    17. Luis Lanaspa & Fernando Pueyo & Fernando Sanz, 2003. "The Evolution of Spanish Urban Structure during the Twentieth Century," Urban Studies, Urban Studies Journal Limited, vol. 40(3), pages 567-580, March.
    18. Goerlich Gisbert Francisco J. & Mas Ivars Matilde (ed.), 2006. "La localización de la población española sobre el territorio. Un siglo de cambios: un estudio basado en series homogéneas (1900-2001)," Books, Fundacion BBVA / BBVA Foundation, number 201154, October.
    19. 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.
    20. Gabaix, Xavier & Ioannides, Yannis M., 2004. "The evolution of city size distributions," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378, Elsevier.
    21. Gabaix, Xavier & Ibragimov, Rustam, 2011. "Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 24-39.
    22. Giorgio Fazio & Marco Modica, 2015. "Pareto Or Log-Normal? Best Fit And Truncation In The Distribution Of All Cities," Journal of Regional Science, Wiley Blackwell, vol. 55(5), pages 736-756, November.
    23. Giesen, Kristian & Suedekum, Jens, 2014. "City age and city size," European Economic Review, Elsevier, vol. 71(C), pages 193-208.
    24. P. C. Cheshire & E. S. Mills (ed.), 1999. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 3, number 3.
    25. Bentolila, Samuel, 1997. "Sticky labor in Spanish regions," European Economic Review, Elsevier, vol. 41(3-5), pages 591-598, April.
    26. Aurélie Lalanne, 2014. "Zipf’s law and Canadian urban growth," Post-Print hal-02274084, HAL.
    27. Aurelie Lalanne, 2014. "Zipf's Law and Canadian Urban Growth," Post-Print hal-02483992, HAL.
    28. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    29. Clémentine Cottineau, 2017. "MetaZipf. A dynamic meta-analysis of city size distributions," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-22, August.
    30. Ioannides, Yannis & Skouras, Spyros, 2013. "US city size distribution: Robustly Pareto, but only in the tail," Journal of Urban Economics, Elsevier, vol. 73(1), pages 18-29.
    31. Lee, Sanghoon & Li, Qiang, 2013. "Uneven landscapes and city size distributions," Journal of Urban Economics, Elsevier, vol. 78(C), pages 19-29.
    32. M. Goldstein & S. Morris & G. Yen, 2004. "Problems with fitting to the power-law distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(2), pages 255-258, September.
    33. Huriot,Jean-Marie & Thisse,Jacques-François (ed.), 2000. "Economics of Cities," Cambridge Books, Cambridge University Press, number 9780521641906, October.
    34. Mai Dao & Davide Furceri & Prakash Loungani, 2017. "Regional Labor Market Adjustment in the United States: Trend and Cycle," The Review of Economics and Statistics, MIT Press, vol. 99(2), pages 243-257, May.
    35. repec:wiw:wiwrsa:ersa14p34 is not listed on IDEAS
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    More about this item

    Keywords

    city size distribution; distance-based approach; Pareto distribution; Zipf’s law; lognormal distribution;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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