IDEAS home Printed from https://ideas.repec.org/a/sae/envirb/v40y2013i1p117-134.html
   My bibliography  Save this article

A Cellular Automata Model Based on Nonlinear Kernel Principal Component Analysis for Urban Growth Simulation

Author

Listed:
  • Yongjiu Feng

    (College of Marine Sciences, Shanghai Ocean University, China)

  • Yan Liu

    (School of Geography, Planning and Environmental Management, The University of Queensland, Australia)

Abstract

In this paper we present a cellular automata (CA) model based on nonlinear kernel principal component analysis (KPCA) to simulate the spatiotemporal process of urban growth. As a generalisation of the linear principal component analysis (PCA) method, the KPCA method was developed to extract the nonspatially correlated principal components amongst the various spatial variables which affect urban growth in high-dimensional feature space. Compared with the linear PCA method, the KPCA approach is superior as it generates fewer independent components while still maintaining its capacity to reduce the noise level of the original input datasets. The reduced number of independent components can be used to better reconstruct the nonlinear transition rules of a CA model. In addition, the principal components extracted through the KPCA approach are not linearly related to the input spatial variables, which accords well with the nonlinear nature of complex urban systems. The KPCA-based CA model (KPCA-CA) developed was fitted to a fast-growing region in China's Shanghai Metropolis for the sixteen-year period 1992–2008. The simulated patterns of urban growth matched well with the observed urban growth, as determined from historical remotely sensed images for the same period. The KPCA-CA model resulted in significant improvements in locational accuracy when compared with conventional CA models and acted to reduce simulation uncertainty.

Suggested Citation

  • Yongjiu Feng & Yan Liu, 2013. "A Cellular Automata Model Based on Nonlinear Kernel Principal Component Analysis for Urban Growth Simulation," Environment and Planning B, , vol. 40(1), pages 117-134, February.
  • Handle: RePEc:sae:envirb:v:40:y:2013:i:1:p:117-134
    DOI: 10.1068/b37142
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/b37142
    Download Restriction: no

    File URL: https://libkey.io/10.1068/b37142?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. R White & G Engelen, 1993. "Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns," Environment and Planning A, , vol. 25(8), pages 1175-1199, August.
    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. José I Barredo & Luca Demicheli & Carlo Lavalle & Marjo Kasanko & Niall McCormick, 2004. "Modelling Future Urban Scenarios in Developing Countries: An Application Case Study in Lagos, Nigeria," Environment and Planning B, , vol. 31(1), pages 65-84, February.
    2. Caruso, Geoffrey & Peeters, Dominique & Cavailhes, Jean & Rounsevell, Mark, 2007. "Spatial configurations in a periurban city. A cellular automata-based microeconomic model," Regional Science and Urban Economics, Elsevier, vol. 37(5), pages 542-567, September.
    3. C J Webster & F Wu, 1999. "Regulation, Land-Use Mix, and Urban Performance. Part 1: Theory," Environment and Planning A, , vol. 31(8), pages 1433-1442, August.
    4. Michel Opelele Omeno & Ying Yu & Wenyi Fan & Tolerant Lubalega & Chen Chen & Claude Kachaka Sudi Kaiko, 2021. "Analysis of the Impact of Land-Use/Land-Cover Change on Land-Surface Temperature in the Villages within the Luki Biosphere Reserve," Sustainability, MDPI, vol. 13(20), pages 1-23, October.
    5. Liu, Dongya & Zheng, Xinqi & Zhang, Chunxiao & Wang, Hongbin, 2017. "A new temporal–spatial dynamics method of simulating land-use change," Ecological Modelling, Elsevier, vol. 350(C), pages 1-10.
    6. Man, Wang & Nie, Qin & Li, Zongmei & Li, Hui & Wu, Xuewen, 2019. "Using fractals and multifractals to characterize the spatiotemporal pattern of impervious surfaces in a coastal city: Xiamen, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 44-53.
    7. André Ménard & Danielle J Marceau, 2005. "Exploration of Spatial Scale Sensitivity in Geographic Cellular Automata," Environment and Planning B, , vol. 32(5), pages 693-714, October.
    8. Haozhi Pan & Stan Geertman & Brian Deal, 2020. "What does urban informatics add to planning support technology?," Environment and Planning B, , vol. 47(8), pages 1317-1325, October.
    9. Md. Monjure Alam Pramanik & Demetris Stathakis, 2016. "Forecasting urban sprawl in Dhaka city of Bangladesh," Environment and Planning B, , vol. 43(4), pages 756-771, July.
    10. Yanguang Chen & Yixing Zhou, 2003. "The Rank-Size Rule and Fractal Hierarchies of Cities: Mathematical Models and Empirical Analyses," Environment and Planning B, , vol. 30(6), pages 799-818, December.
    11. Xia Li & Anthony Gar-On Yeh, 2001. "Calibration of Cellular Automata by Using Neural Networks for the Simulation of Complex Urban Systems," Environment and Planning A, , vol. 33(8), pages 1445-1462, August.
    12. Yan Liu & Yongjiu Feng & Robert Gilmore Pontius, 2014. "Spatially-Explicit Simulation of Urban Growth through Self-Adaptive Genetic Algorithm and Cellular Automata Modelling," Land, MDPI, vol. 3(3), pages 1-20, July.
    13. Yanguang Chen & Jiejing Wang, 2013. "Multifractal Characterization of Urban Form and Growth: The Case of Beijing," Environment and Planning B, , vol. 40(5), pages 884-904, October.
    14. Jian Feng & Yanguang Chen, 2021. "Modeling Urban Growth and Socio-Spatial Dynamics of Hangzhou, China: 1964–2010," Sustainability, MDPI, vol. 13(2), pages 1-25, January.
    15. Bosch, Martí & Chenal, Jérôme & Joost, Stéphane, 2019. "Addressing urban sprawl from the complexity sciences," MPRA Paper 93489, University Library of Munich, Germany.
    16. Chen, Yanguang, 2009. "Analogies between urban hierarchies and river networks: Fractals, symmetry, and self-organized criticality," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1766-1778.
    17. Haosu Zhao & Bart Julien Dewancker & Feng Hua & Junping He & Weijun Gao, 2020. "Restrictions of Historical Tissues on Urban Growth, Self-Sustaining Agglomeration in Walled Cities of Chinese Origin," Sustainability, MDPI, vol. 12(14), pages 1-29, July.
    18. Steven Manson & David O'Sullivan, 2006. "Complexity Theory in the Study of Space and Place," Environment and Planning A, , vol. 38(4), pages 677-692, April.
    19. C J Webster & F Wu, 1999. "Regulation, Land-Use Mix, and Urban Performance. Part 2: Simulation," Environment and Planning A, , vol. 31(9), pages 1529-1545, September.
    20. Sebastian Scheuer & Dagmar Haase & Martin Volk, 2016. "On the Nexus of the Spatial Dynamics of Global Urbanization and the Age of the City," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-20, August.

    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:sae:envirb:v:40:y:2013:i:1:p:117-134. 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: SAGE Publications (email available below). General contact details of provider: .

    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.