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Estimating the Boundary Lines of Land Lots with a Multiobjective Optimization Approach

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  • Xiaolu Gao

    (Japan Society for the Promotion of Science; Urban Planning Department, National Institute for Land and Infrastructure Management, Japan)

  • Yasushi Asami

    (Center for Spatial Information Science, University of Tokyo, Kashiwanoha 5-1-5, Kashiwa, Chiba 277-8568, Japan)

Abstract

Data on the shape of land lots are needed in urban planning analyses. However, large amounts of shape data are often unavailable. In this paper we develop a method of estimating the boundary lines of land lots. With the assumption that the vertices of lots are tentatively given and that their deviations from true positions follow certain kinds of probability distributions, the problem is formulated as an optimization problem of adjusting the positions of tentatively given vertices, subject to the constraints of available information such as lot size and frontage. In this problem, two objectives are considered: one is to maximize the log-likelihood function and the other is to minimize distortion of lot shape. An index called the ‘suitability degree’, based on the concept of fuzzy logic, is proposed for evaluating the quality of estimates and is used as a decisionmaking rule for determining the weight parameter in the objective function. The proposed method is empirically tested with real lots and the results are satisfactory. It reveals the feasibility of applying this method in urban planning.

Suggested Citation

  • Xiaolu Gao & Yasushi Asami, 2005. "Estimating the Boundary Lines of Land Lots with a Multiobjective Optimization Approach," Environment and Planning B, , vol. 32(4), pages 581-596, August.
    • Handle: RePEc:sae:envirb:v:32:y:2005:i:4:p:581-596
    DOI: 10.1068/b31031
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    References listed on IDEAS

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    1. Eric J. Heikkila & Ti-yan Shen & Kai-zhong Yang, 2003. "Fuzzy Urban Sets: Theory and Application to Desakota Regions in China," Working Paper 8617, USC Lusk Center for Real Estate.
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    Cited by:

    1. Hiroyuki Usui, 2018. "Statistical distribution of building lot frontage: application for Tokyo downtown districts," Journal of Geographical Systems, Springer, vol. 20(3), pages 295-316, July.
    2. Hiroyuki Usui, 2019. "Statistical distribution of building lot depth: Theoretical and empirical investigation of downtown districts in Tokyo," Environment and Planning B, , vol. 46(8), pages 1499-1516, October.
    3. Hiroyuki Usui & Yasushi Asami, 2020. "Size Distribution of Building Lots and Density of Buildings and Road Networks: Theoretical Derivation Based on Gibrat’s Law and Empirical Study of Downtown Districts in Tokyo," International Regional Science Review, , vol. 43(3), pages 229-253, May.
    4. Hiroyuki Usui & Joan Perez, 2022. "Are patterns of vacant lots random? Evidence from empirical spatiotemporal analysis in Chiba prefecture, east of Tokyo," Environment and Planning B, , vol. 49(3), pages 777-793, March.

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