A MEASURE-THEORETIC APPROACH TO URBAN FIELDS WITH APPLICATIONS TO ORIGIN CONSTRAINED TRAVEL

Mathematical formulations of urban structure usually invoke either a strictly continuous or a strictly discrete account of spatial distributions. The arbitrary nature of this dichotomy is illustrated by urban retail and commercial activity, which can be usefully represented as a mixture of discrete and continuous components. This paper exploits concepts from general measure theory to extend the notion of an urban field. The resulting formulation yields discrete and continuous models as special cases. The abstract-field model is interpreted for the case of urban commercial structure, and is applied to develop a generalized extension of the origin-constrained interaction model. The descriptive utility of the formulation is then demonstrated in the case of commercial arterials in Albany, New York.(A)

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/0308518X
• Corporate Authors:

  Pion Limited

  207 Brondesburg Park
  London NW2 5JN,   England 
• Authors:
  • Ballou, D P
  • Pipkin, J S
• Publication Date: 1980

Media Info

• Features: Figures; References;
• Pagination: p. 85-95
• Serial:
  • Environment and Planning A
  • Volume: 12
  • Issue Number: 1
  • Publisher: Pion Limited
  • ISSN: 0308-518X
  • EISSN: 1472-3409
  • Serial URL: http://www.envplan.com/A.html

Subject/Index Terms

• TRT Terms: Arterial highways; Business districts; Continuous structures; Discrete systems; Mathematical models; Origin and destination; Shopping centers; Socioeconomic factors; Streets; Traffic distribution; Traffic flow; Transportation planning; Travel; Urban areas; Urban transportation
• Geographic Terms: United States
• Old TRIS Terms: Commercial districts
• ITRD Terms: 9006: Continuous; 9015: Discontinuous; 698: Journey; 6473: Mathematical model; 687: Origin destination traffic; 320: Shopping centre; 671: Traffic flow; 313: Urban area; 8122: USA
• Subject Areas: Economics; Highways; Operations and Traffic Management; Planning and Forecasting; Society; I71: Traffic Theory;

Filing Info

• Accession Number: 00316916
• Record Type: Publication
• Source Agency: Transport Research Laboratory
• Files: ITRD, TRIS
• Created Date: Nov 19 1980 12:00AM