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Scaling and universality in city space syntax: Between Zipf and Matthew

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  • Volchenkov, D.
  • Blanchard, Ph.

Abstract

We report about the universality of rank–integration distributions of open spaces in city space syntax similar to the famous rank-size distributions of cities (Zipf’s law). We also demonstrate that the degree of choice an open space represents for other spaces directly linked to it in a city follows a power-law statistic. Universal statistical behavior of space syntax measures uncovers the universality of the city creation mechanism. We suggest that the observed universality may help to establish the international definition of a city as a specific land use pattern.

Suggested Citation

  • Volchenkov, D. & Blanchard, Ph., 2008. "Scaling and universality in city space syntax: Between Zipf and Matthew," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(10), pages 2353-2364.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:10:p:2353-2364
    DOI: 10.1016/j.physa.2007.11.049
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    Cited by:

    1. Chao Xue & Yongfeng Ju & Shuguang Li & Qilong Zhou, 2020. "Research on the Sustainable Development of Urban Housing Price Based on Transport Accessibility: A Case Study of Xi’an, China," Sustainability, MDPI, vol. 12(4), pages 1-15, February.
    2. Wim Ectors & Bruno Kochan & Davy Janssens & Tom Bellemans & Geert Wets, 2019. "Exploratory analysis of Zipf’s universal power law in activity schedules," Transportation, Springer, vol. 46(5), pages 1689-1712, October.
    3. Daniela Santilli & Mauro D’Apuzzo & Azzurra Evangelisti & Vittorio Nicolosi, 2021. "Towards Sustainability: New Tools for Planning Urban Pedestrian Mobility," Sustainability, MDPI, vol. 13(16), pages 1-17, August.
    4. Tsou, Ko-Wan & Cheng, Hao-Teng & Tseng, Fu-Yi, 2015. "Exploring the relationship between multilevel highway networks and local development patterns—a case study of Taiwan," Journal of Transport Geography, Elsevier, vol. 43(C), pages 160-170.
    5. H. Serdar Kaya & Elif Alkay, 2013. "Spatial Integration in Explaining the Accessibility to Residential Areas: Bandirma Case," ERSA conference papers ersa13p725, European Regional Science Association.
    6. Ermal Shpuza, 2014. "Allometry in the Syntax of Street Networks: Evolution of Adriatic and Ionian Coastal Cities 1800–2010," Environment and Planning B, , vol. 41(3), pages 450-471, June.
    7. Dhanani, Ashley & Tarkhanyan, Lusine & Vaughan, Laura, 2017. "Estimating pedestrian demand for active transport evaluation and planning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 103(C), pages 54-69.

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    Keywords

    Complex networks; City space syntax;

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