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Travel Probability Fields and Urban Spatial Structure: 1. Theory

Author

Listed:
  • M J Beckmann

    (Lehrstuhl für Angewandte Mathematik, Technische Universität München, 8000 München 2, FRG)

  • T F Golob

    (Denneweg 49, 2514 CD Den Haag, The Netherlands)

  • Y Zahavi

    (Mobility Systems Incorporated, Bethesda, MD 20817, USA)

Abstract

The proposed model attempts to explain how particular spatial distributions of trip destinations might arise as manifestations of the accessibility benefits and travel costs associated with a housing location. The trip distributions are elliptical, being expressed as bivariate normal distributions. The parameters of these distributions are shown to be related to the parameters of an assumed density function for activity sites (such as jobs and shops) and to travel speeds. The model implies a housing density function in a monocentric urban area which is negative exponential.

Suggested Citation

  • M J Beckmann & T F Golob & Y Zahavi, 1983. "Travel Probability Fields and Urban Spatial Structure: 1. Theory," Environment and Planning A, , vol. 15(5), pages 593-606, May.
    • Handle: RePEc:sae:envira:v:15:y:1983:i:5:p:593-606
    DOI: 10.1068/a150593
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    References listed on IDEAS

    as
    1. Frank A. Haight, 1964. "Some Probability Distributions Associated with Commuter Travel in a Homogeneous Circular City," Operations Research, INFORMS, vol. 12(6), pages 964-975, December.
    2. Edwin S. Mills & James MacKinnon, 1973. "Notes on the New Urban Economics," Bell Journal of Economics, The RAND Corporation, vol. 4(2), pages 593-601, Autumn.
    3. Keng Hong Khaw & Rodney J. Vaughan, 1979. "Some Probability Densities Associated with the Joint Location of Homes and Workplaces in a City," Transportation Science, INFORMS, vol. 13(1), pages 13-19, February.
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    Citations

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    Cited by:

    1. David Wong & Shih-Lung Shaw, 2011. "Measuring segregation: an activity space approach," Journal of Geographical Systems, Springer, vol. 13(2), pages 127-145, June.
    2. Neutens, Tijs & Delafontaine, Matthias & Scott, Darren M. & De Maeyer, Philippe, 2012. "An analysis of day-to-day variations in individual space–time accessibility," Journal of Transport Geography, Elsevier, vol. 23(C), pages 81-91.
    3. Liu, Xintao & Yan, Wai Yeung & Chow, Joseph Y.J., 2015. "Time-geographic relationships between vector fields of activity patterns and transport systems," Journal of Transport Geography, Elsevier, vol. 42(C), pages 22-33.
    4. Farber, Steven & Li, Xiao, 2013. "Urban sprawl and social interaction potential: an empirical analysis of large metropolitan regions in the United States," Journal of Transport Geography, Elsevier, vol. 31(C), pages 267-277.
    5. Schönfelder, Stefan & Axhausen, Kay W., 2003. "Activity spaces: measures of social exclusion?," Transport Policy, Elsevier, vol. 10(4), pages 273-286, October.
    6. Yoon, Seo Youn & Ravulaparthy, Srinath K. & Goulias, Konstadinos G., 2014. "Dynamic diurnal social taxonomy of urban environments using data from a geocoded time use activity-travel diary and point-based business establishment inventory," Transportation Research Part A: Policy and Practice, Elsevier, vol. 68(C), pages 3-17.

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