IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v14y2022i16p9981-d886522.html
   My bibliography  Save this article

Hierarchical Structure of the Central Areas of Megacities Based on the Percolation Theory—The Example of Lujiazui, Shanghai

Author

Listed:
  • Xinyu Hu

    (Department of Urban and Rural Planning, College of Landscape Architecture, Nanjing Forestry University, Nanjing 210037, China)

  • Yidian Wang

    (Department of Urban and Rural Planning, College of Landscape Architecture, Nanjing Forestry University, Nanjing 210037, China)

  • Hui Wang

    (Department of Urban and Rural Planning, College of Landscape Architecture, Nanjing Forestry University, Nanjing 210037, China)

  • Yi Shi

    (Department of Urban Planning, School of Architecture, Southeast University, Nanjing 210096, China)

Abstract

The study of an urban center’s hierarchical structure is an important subject if one wishes to understand the city. Previous studies on urban hierarchical structure focused mostly on qualitative or quantitative research based on factors such as format, transportation, and economy, and lacked quantitative measurement from the perspective of street networks. This study examined the urban central area of Lujiazui, Shanghai, from the perspective of the percolation of the street network in the urban central area. Then, combined with the actual urban space function, the connotation and fractal nature of the hierarchical structure of the central area of the mega-city were obtained. The resulting nested hierarchies represent a reorganization of these highly agglomerated urban centers that contribute to sustainability. The fractal results were verified by the box counting method. Finally, this study fulfills its main purpose, which is to propose a new method for the study of the hierarchical structure of urban central areas.

Suggested Citation

  • Xinyu Hu & Yidian Wang & Hui Wang & Yi Shi, 2022. "Hierarchical Structure of the Central Areas of Megacities Based on the Percolation Theory—The Example of Lujiazui, Shanghai," Sustainability, MDPI, vol. 14(16), pages 1-20, August.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:16:p:9981-:d:886522
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/14/16/9981/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/14/16/9981/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Duccio Piovani & Carlos Molinero & Alan Wilson, 2017. "Urban retail location: Insights from percolation theory and spatial interaction modeling," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-13, October.
    2. Dong, Shangjia & Wang, Haizhong & Mostafizi, Alireza & Song, Xuan, 2020. "A network-of-networks percolation analysis of cascading failures in spatially co-located road-sewer infrastructure networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    3. Tabuchi, Takatoshi & Thisse, Jacques-François, 2011. "A new economic geography model of central places," Journal of Urban Economics, Elsevier, vol. 69(2), pages 240-252, March.
    4. Wen‐Tai Hsu, 2012. "Central Place Theory and City Size Distribution," Economic Journal, Royal Economic Society, vol. 122(563), pages 903-932, September.
    5. Berx, Jonas & Bervoets, Evi & Giuraniuc, Claudiu V. & Indekeu, Joseph O., 2021. "Coastlines and percolation in a model for hierarchical random deposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    6. Hsu, Wen-Tai & Holmes, Thomas J. & Morgan, Frank, 2014. "Optimal city hierarchy: A dynamic programming approach to central place theory," Journal of Economic Theory, Elsevier, vol. 154(C), pages 245-273.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tomoya Mori, 2017. "Central Place Analysis," KIER Working Papers 959, Kyoto University, Institute of Economic Research.
    2. de Palma, André & Papageorgiou, Yorgos Y. & Thisse, Jacques-François & Ushchev, Philip, 2019. "About the origin of cities," Journal of Urban Economics, Elsevier, vol. 111(C), pages 1-13.
    3. Jorge Díaz-Lanchas & José Luis Zofío & Carlos Llano, 2022. "A trade hierarchy of cities based on transport cost thresholds," Regional Studies, Taylor & Francis Journals, vol. 56(8), pages 1359-1376, August.
    4. Takashi Akamatsu & Tomoya Mori & Yuki Takayama, 2015. "Agglomerations in a multi-region economy: Poly-centric versus mono-centric patterns," KIER Working Papers 929, Kyoto University, Institute of Economic Research.
    5. Tomoya Mori & Jens Wrona, 2021. "Centrality Bias in Inter-city Trade," KIER Working Papers 1056, Kyoto University, Institute of Economic Research.
    6. MORI Tomoya & MURAKAMI Daisuke, 2024. "The Rise and Fall of Cities under Declining Population and Diminishing Distance Frictions: The case of Japan," Discussion papers 24028, Research Institute of Economy, Trade and Industry (RIETI).
    7. Marcus Berliant & Tomoya Mori, 2017. "Beyond urban form: How Masahisa Fujita shapes us," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 5-28, March.
    8. MORI Tomoya, 2021. "Regularity in Urban Agglomeration Patterns and Its Macroscopic Implications for Regional Policies (Japanese)," Policy Discussion Papers (Japanese) 21012, Research Institute of Economy, Trade and Industry (RIETI).
    9. Kikuchi, Tomoo & Nishimura, Kazuo & Stachurski, John & Zhang, Junnan, 2021. "Coase meets Bellman: Dynamic programming for production networks," Journal of Economic Theory, Elsevier, vol. 196(C).
    10. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
    11. Thomas J. Sargent & John Stachurski, 2024. "Dynamic Programming: Finite States," Papers 2401.10473, arXiv.org.
    12. MORI Tomoya, 2017. "Evolution of Sizes and Industrial Structure of Cities in Japan from 1980 to 2010: Constant churning and persistent regularity," Discussion papers 17013, Research Institute of Economy, Trade and Industry (RIETI).
    13. Hsu, Wen-Tai & Holmes, Thomas J. & Morgan, Frank, 2014. "Optimal city hierarchy: A dynamic programming approach to central place theory," Journal of Economic Theory, Elsevier, vol. 154(C), pages 245-273.
    14. Luc Christiaensen & Ravi Kanbur, 2017. "Secondary Towns and Poverty Reduction: Refocusing the Urbanization Agenda," Annual Review of Resource Economics, Annual Reviews, vol. 9(1), pages 405-419, October.
    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. Oshiro, Jun & Sato, Yasuhiro, 2021. "Industrial structure in urban accounting," Regional Science and Urban Economics, Elsevier, vol. 91(C).
    17. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    18. Ikeda, Kiyohiro & Onda, Mikihisa & Takayama, Yuki, 2018. "Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 129-152.
    19. Jorge Díaz-Lanchas & Peter Mulder, 2021. "Does decentralization of governance promote urban diversity? Evidence from Spain," Regional Studies, Taylor & Francis Journals, vol. 55(6), pages 1111-1128, June.
    20. Theodore Papageorgiou, 2022. "Occupational Matching and Cities," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(3), pages 82-132, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:14:y:2022:i:16:p:9981-:d:886522. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.