IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v15y1983i5p593-606.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a150593
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a150593?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. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    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. Raouf Boucekkine & Giorgio Fabbri & Salvatore Federico & Fausto Gozzi, 2019. "Growth and agglomeration in the heterogeneous space: a generalized AK approach," Journal of Economic Geography, Oxford University Press, vol. 19(6), pages 1287-1318.
    2. Jerome M. Ochitwa, 1984. "Applicability and Efficiency in a Land Use Plan Design Model: An Input-Output Linear Programming Approach," Urban Studies, Urban Studies Journal Limited, vol. 21(2), pages 149-154, May.
    3. J G U Adams & T O'Riordan & R Hudson & M Ball & M Boddy & C A Maher & H W Richardson & B J L Berry & J M Batty & S M Macgill, 1981. "Reviews: Great Planning Disasters, Banking on the Biosphere?, North East England: The Region's Development, 1760–1960, the Urban Land Nexus and the State, the Property Boom: The Effects of Building ," Environment and Planning A, , vol. 13(11), pages 1451-1466, November.
    4. Agustin Rodriguez-Bachiller, 1986. "Discontiguous Urban Growth and the New Urban Economics: A Review," Urban Studies, Urban Studies Journal Limited, vol. 23(2), pages 79-104, April.
    5. Kenneth Button, 1998. "Where did the ?new urban economics? go?," ERSA conference papers ersa98p358, European Regional Science Association.
    6. Darla K Munroe, 2007. "Exploring the Determinants of Spatial Pattern in Residential Land Markets: Amenities and Disamenities in Charlotte, NC, USA," Environment and Planning B, , vol. 34(2), pages 336-354, April.
    7. Bryan Ellickson, 1981. "Indivisibility, Housing and Public Goods," UCLA Economics Working Papers 205, UCLA Department of Economics.
    8. Suzuki, Tsutomu & Lee, Sohee, 2012. "Jobs–housing imbalance, spatial correlation, and excess commuting," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(2), pages 322-336.
    9. D S Dendrinos & H Mullally, 1981. "Fast and Slow Equations: The Development Patterns of Urban Settings," Environment and Planning A, , vol. 13(7), pages 819-827, July.
    10. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.

    More about this item

    Statistics

    Access and download statistics

    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:envira:v:15:y:1983:i:5:p:593-606. 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.