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A Spatial and Temporal Autocorrelated Growth Model for City Rank—Size Distribution

Author

Listed:
  • Zengwang Xu

    (Houston Advanced Research Center, 4800 Research Forest Dr., The Woodlands, TX 77381, USA, zxu@harc.edu)

  • Robert Harriss

    (Houston Advanced Research Center, 4800 Research Forest Dr., The Woodlands, TX 77381, USA, rharriss@harc.edu)

Abstract

Rank—size distribution has been an important tool in characterising and analysing city size distributions across spatial and temporal scales. Zipf’s law in city rank—size distribution has been observed in many analyses and is considered an important empirical regularity describing the organisation of cities. Based on analyses of the evolution of cities in Texas from 1850 to 2000, this paper documents spatial and temporal autocorrelation in city population growth rates. A modelling strategy has been developed that accounts for the spatial and temporal autocorrelated growth in Texas cities and is effective in reconstructing the empirical rank—size distribution. This study shows that it is necessary to take into account the interdependence among cities in simulating the city size distribution.

Suggested Citation

  • Zengwang Xu & Robert Harriss, 2010. "A Spatial and Temporal Autocorrelated Growth Model for City Rank—Size Distribution," Urban Studies, Urban Studies Journal Limited, vol. 47(2), pages 321-335, February.
    • Handle: RePEc:sae:urbstu:v:47:y:2010:i:2:p:321-335
    DOI: 10.1177/0042098009348326
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    Cited by:

    1. Tarsha EASON & Ahjond S. GARMESTANI, 2012. "Cross-Scale Dynamics Of A Regional Urban System Through Time," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 55-77.
    2. Jungyul Sohn, 2012. "Does City Location Determine Urban Population Growth? The Case Of Small And Medium Cities In Korea," Tijdschrift voor Economische en Sociale Geografie, Royal Dutch Geographical Society KNAG, vol. 103(3), pages 276-292, July.
    3. Svetlana RASTVORTSEVA & Inna MANAEVA, 2016. "Zipf’S Law Appearance In The Russian Cities," Regional Science Inquiry, Hellenic Association of Regional Scientists, vol. 0(1), pages 51-59, June.
    4. Xinyue Ye & Yichun Xie, 2012. "Re-examination of Zipf’s law and urban dynamic in China: a regional approach," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(1), pages 135-156, August.

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