In urban transport studies, the boundaries of the outermost zones are usually set to coincide with the expected periphery of development at the end of the study period. In practice, there often exist considerable traffic flows to and from these zones and settlements outside the urban area. In this note, suggestions are made to include such flows within a consistent entropy maximizing framework. The model accounts for the total worker supply and total job demand characteristics of the external zones, whilst ensuring that the relevant constraints are not violated.
Get full access to this article
View all access options for this article.
References
1.
BattyM, 1978“Speculations on an information theoretic approach to spatial representation” in Studies in Applied Regional Science, Volume 10: Spatial Representation and Spatial Interaction Eds MasserIBrownP, (Martinus Nijhoff, Leiden, The Netherlands) pp 115–147
2.
BeardwoodJ EKirbyH R, 1975“Zone definition and the gravity model”Transportation Research9363–369
3.
DaceyM PNorcliffeA, 1976“New entropy models in the social sciences. 1. Elementary residential-location models”Environment and Planning A8299–310
4.
FiskCBrownG R, 1975“A note on the entropy formulation of distribution models”Operational Research Quarterly26755–758
5.
KarlqvistAMarksjöB, 1971“Statistical urban models”Environment and Planning A383–98
6.
LesseP FBrotchieJ FRoyJ RSharpeR, 1978“A new philosophy for regional modelling”Papers of the Third Meeting of the Australian and New Zealand Section, Regional Science Association, December (Australian and New Zealand Section, Regional Science Association, Melbourne) pp 165–178
7.
MasserI, 1979“A note on the treatment of flows across system boundaries in spatial-interaction models”Environment and Planning A11447–454
8.
RoyJ RLesseP F, 1980“On appropriate microstate descriptions in entropy modelling”Transportation Research B (forthcoming)
9.
WilsonA G, 1970Entropy in Urban and Regional Modelling (Pion, London)