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Fractal Organization of Chilean Cities: Observations from a Developing Country

Author

Listed:
  • Francisco Martínez

    (School of Civil Engineering, Pontificia Universidad Católica de Valparaíso (PUCV), Valparaíso, CP 2340000, Chile
    These authors contributed equally to this work.)

  • Bastian Sepúlveda

    (School of Civil Engineering, Pontificia Universidad Católica de Valparaíso (PUCV), Valparaíso, CP 2340000, Chile
    These authors contributed equally to this work.)

  • Hermann Manríquez

    (Instituto de Geografía, Pontificia Universidad Católica de Valparaíso (PUCV), Valparaíso, CP 2340000, Chile
    These authors contributed equally to this work.)

Abstract

Urban forms are human-made systems that display a close connection with fractal objects, following organisation patterns that are not as random as believed. In this context, fractal theory can be seriously considered as a powerful tool for characterizing land-use planning. By applying the box-counting method and image-processing methods, the morphology and fractal metrics of urban networks of Chilean cities were measured. This dimension shows a close correlation with area, population and gross domestic product of each entity, revealing significant asymmetries regarding their distribution throughout the country. Such asymmetries have influenced the current shape of cities, issues concerning economic and social inequalities of urban development that still remain in the territory and explained by social segregation process and the historical evolution of cities. Additionally, some interesting allometric scaling laws obtained from these urban forms are also reported. Our results suggest that the use of fractal metrics can be a meaningful and cheap tool for characterizing the complexity of urban networks, providing useful and quick information about the organisation and efficiency of urban planning in developing countries.

Suggested Citation

  • Francisco Martínez & Bastian Sepúlveda & Hermann Manríquez, 2023. "Fractal Organization of Chilean Cities: Observations from a Developing Country," Land, MDPI, vol. 12(2), pages 1-21, January.
    • Handle: RePEc:gam:jlands:v:12:y:2023:i:2:p:296-:d:1042146
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    References listed on IDEAS

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    1. Isabelle Thomas & Pierre Frankhauser & Dominique Badariotti, 2012. "Comparing the fractality of European urban neighbourhoods: do national contexts matter?," Journal of Geographical Systems, Springer, vol. 14(2), pages 189-208, April.
    2. Francisco Martinez & Hermann Manriquez & Alberto Ojeda & Gabriel Olea, 2022. "Organization Patterns of Complex River Networks in Chile: A Fractal Morphology," Mathematics, MDPI, vol. 10(11), pages 1-23, May.
    3. Labini, F.Sylos & Gabrielli, A. & Montuori, M. & Pietronero, L., 1996. "Finite size effects on the galaxy number counts: Evidence for fractal behavior up to the deepest scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(3), pages 195-242.
    4. Javier Núñez & Andrea Tartakowsky, 2007. "Inequality of outcomes vs. inequality of opportunities in a developing country. An exploratory analysis for Chile," Estudios de Economia, University of Chile, Department of Economics, vol. 34(2 Year 20), pages 185-202, December.
    5. Bin Jiang & Junjun Yin, 2014. "Ht-Index for Quantifying the Fractal or Scaling Structure of Geographic Features," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 104(3), pages 530-540, May.
    6. Fatemeh Jahanmiri & Dawn Cassandra Parker, 2022. "An Overview of Fractal Geometry Applied to Urban Planning," Land, MDPI, vol. 11(4), pages 1-23, March.
    7. Mikolaj Karpinski & Svitlana Kuznichenko & Nadiia Kazakova & Oleksii Fraze-Frazenko & Daniel Jancarczyk, 2020. "Geospatial Assessment of the Territorial Road Network by Fractal Method," Future Internet, MDPI, vol. 12(11), pages 1-13, November.
    8. Chong Zhao & Yu Li & Min Weng, 2021. "A Fractal Approach to Urban Boundary Delineation Based on Raster Land Use Maps: A Case of Shanghai, China," Land, MDPI, vol. 10(9), pages 1-21, September.
    9. Isabelle Thomas & Pierre Frankhauser & Marie‐Laurence De Keersmaecker, 2007. "Fractal dimension versus density of built‐up surfaces in the periphery of Brussels," Papers in Regional Science, Wiley Blackwell, vol. 86(2), pages 287-308, June.
    10. Alison K. Cheeseman & Edward R. Vrscay, 2022. "Estimating the Fractal Dimensions of Vascular Networks and Other Branching Structures: Some Words of Caution," Mathematics, MDPI, vol. 10(5), pages 1-21, March.
    11. Myagmartseren Purevtseren & Bazarkhand Tsegmid & Myagmarjav Indra & Munkhnaran Sugar, 2018. "The Fractal Geometry of Urban Land Use: The Case of Ulaanbaatar City, Mongolia," Land, MDPI, vol. 7(2), pages 1-14, May.
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