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Statistical distribution of building lot frontage: application for Tokyo downtown districts

Author

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  • Hiroyuki Usui

    (The University of Tokyo)

Abstract

The frontage of a building lot is the determinant factor of the residential environment. The statistical distribution of building lot frontages shows how the perimeters of urban blocks are shared by building lots for a given density of buildings and roads. For practitioners in urban planning, this is indispensable to identify potential districts which comprise a high percentage of building lots with narrow frontage after subdivision and to reconsider the appropriate criteria for the density of buildings and roads as residential environment indices. In the literature, however, the statistical distribution of building lot frontages and the density of buildings and roads has not been fully researched. In this paper, based on the empirical study in the downtown districts of Tokyo, it is found that (1) a log-normal distribution fits the observed distribution of building lot frontages better than a gamma distribution, which is the model of the size distribution of Poisson Voronoi cells on closed curves; (2) the statistical distribution of building lot frontages statistically follows a log-normal distribution, whose parameters are the gross building density, road density, average road width, the coefficient of variation of building lot frontage, and the ratio of the number of building lot frontages to the number of buildings; and (3) the values of the coefficient of variation of building lot frontages, and that of the ratio of the number of building lot frontages to that of buildings are approximately equal to 0.60 and 1.19, respectively.

Suggested Citation

  • 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.
    • Handle: RePEc:kap:jgeosy:v:20:y:2018:i:3:d:10.1007_s10109-018-0268-3
    DOI: 10.1007/s10109-018-0268-3
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Hiroyuki Usui, 2021. "Optimisation of building and road network densities in terms of variation in plot sizes and shapes," Environment and Planning B, , vol. 48(5), pages 1263-1278, June.
    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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    More about this item

    Keywords

    Building lot; Frontage; Log-normal distribution; Density; Road;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns

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