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A note on the fluctuation of flows under the entropy principle

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  • Leung, Yee
  • Yan, Jianping

Abstract

The present paper examines two neglected issues: fluctuation of flows and probability of occurrence, in entropy-based spatial interaction analysis. Variance of the estimated flow is derived to study its fluctuation. It is shown that unless a lower level of accuracy is acceptable, entropy estimates may not be appropriate especially when the scale of a spatial interaction system is small. It is further shown that the probability of having the most probable distribution under the entropy principle is in fact very small. These two findings shed light on the application of entropy-based models.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:transb:v:31:y:1997:i:5:p:417-423
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Kumar, Amit & Peeta, Srinivas, 2015. "Entropy weighted average method for the determination of a single representative path flow solution for the static user equilibrium traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 213-229.
    2. Sohee Lee & Tsutomu Suzuki, 2016. "A scenario approach to the evaluation of sustainable urban structure for reducing carbon dioxide emissions in Seoul," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 20(1), pages 30-48, March.

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