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On appropriate microstate descriptions in entropy modelling

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  • Roy, J.R.
  • Lesse, P.F.

Abstract

Using an information-theoretic approach to entropy modelling, expressions for the possible number of microstates are derived from the sets of choices available to households and firms in given location/transport planning situations. In planning applications, the urban space is usually subdivided into discrete zones, and various classes of householders and firms are grouped into separate activities. Nevertheless, the location sites within zones may vary considerably in accessibility, price and quality, and amenity v. cost trade-offs between location and travel many differ markedly between individuals within the same activity group. The inclusion of such variations within a random utility framework is demonstrated to be equivalent to maximizing entropy with the microstates disaggregated to the level where these variations occur. Using constraints based on spatial conditions, observed behaviour and planning policy, entropy maximization is used to determine the most probable macrostate according to each choice set specification. The resulting distributions are compared and their revelance discussed.

Suggested Citation

  • Roy, J.R. & Lesse, P.F., 1981. "On appropriate microstate descriptions in entropy modelling," Transportation Research Part B: Methodological, Elsevier, vol. 15(2), pages 85-96, April.
    • Handle: RePEc:eee:transb:v:15:y:1981:i:2:p:85-96
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    Cited by:

    1. J R Roy & P F Lesse, 1985. "Modelling Commodity Flows under Uncertainty," Environment and Planning A, , vol. 17(9), pages 1271-1274, September.
    2. Leung, Yee & Yan, Jianping, 1997. "A note on the fluctuation of flows under the entropy principle," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 417-423, October.
    3. J Paulov, 1991. "The Zone-Size-Dependent Entropy Formula and Spatial Interaction Modelling: A Note on Some Implications," Environment and Planning A, , vol. 23(4), pages 557-570, April.
    4. Baker, Robert, 2002. "Regions of time and internet: modelling: an application of the space-time trip (RASTT) model to the USA internet market," ERSA conference papers ersa02p407, European Regional Science Association.

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