The connection between behavioral travel demand models and the geometry of the metropolitan transport network is described, followed by the consideration of fractal geometry as a means of studying a wide range of phenomena, including highway networks. Then a fractal analysis is undertaken of the classes of roads in metropolitan Boston, Massachusetts. This analysis yields one exemplary new insight into travel behavior: a phase shift between highway systems and major and local road systems indicating different trip purposes and scales for analysis.
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References
1.
RichardsonL. F.The Supply of Energy to and from Atmospheric Eddies. Proceedings of the Royal Society of London, Vol. 97, Issue 686, 1920, pp. 354–373.
2.
ThomsonJ. M.Great Cities and Their Traffic.Victor Gollancz, Ltd., London, 1977.
3.
Ben-AkivaM. and LermanS. R.. Discrete Choice Analysis: Theory and Application to Travel Demand.M.I.T. Press, Cambridge, Mass., 1985.
4.
BovyP. H. L. and Hoogendoorn-LanserS.. Modelling Route Choice Behaviour in Multi-modal Transport Networks. Transportation, Vol. 32, 2005, pp. 341–368.
5.
MillerE. J.RoordaM. J. and CarrascoJ. A.. A Tour-Based Model of Travel Mode Choice. Transportation, Vol. 32, 2005, pp. 399–422.
6.
FalconerK. J.Fractal Geometry: Mathematical Foundations and Applications.John Wiley and Sons, Inc., Hoboken, N.J., 2003.
7.
BattyM. and LongleyP.. Fractal Cities.Academic Press, London, 1994.
8.
SheppardE.Quantitative Geography: Representations, Practices and Possibilities. Environment and Planning D, Vol. 27, 2001, pp. 535–554.
9.
BurnettK. P. Qualitative Techniques for Urban Transportation. Presented at Transtec Congress, Athens, Greece, Sept. 2004.
10.
MandelbrotB. B.The Fractal Geometry of Nature.W. H. Freeman and Company, San Francisco, 1983.
11.
WestB. J.Physics of Fractal Operators.Springer Press, New York, 2003.
12.
KapustinA. V.TarasevichM. R.ChirkovY. G. and BogdanovskayaV. A.. Active Layer of an Oxygen Electrode Based on Nanocomposite Dispersed Carbon Carrier + Laccase Material. Russian Journal of Electrochemistry, Vol. 40, 2004, pp. 909–916.
13.
MidgleyJ. J.Is Bigger Better in Plants? The Hydraulic Costs of Increasing Size in Trees. Trends in Ecology and Evolution, Vol. 18, 2003, pp. 5–6.
14.
Rodriguez-IturbeI.Fractal River Basins: Chance and Self-Organization.Cambridge University Press, Cambridge, U.K., 2001.
15.
DrolonH.HoyezB.DruauxF. and FaureA.. Multiscale Roughness Analysis of Particles: Application to the Classification of Detrital Sediments. Mathematical Geology, Vol. 55, 2003, pp. 805–817.
16.
CastilloO.Soft Computing and Fractal Theory for Intelligent Manufacturing.Physica-Verlag Press, Heidelberg, Germany, 2003.
17.
MandelbrotB. B. and HudsonR. L.. The Misbehavior of Markets: A Fractal View of Risk, Ruin and Reward.Basic Books, New York, 2004.
18.
FrankhauserP.La Fractalité des Structures Urbaines.Collection Villes, Anthropos, Paris, 1994.
19.
FrankhauserP.The Fractal Approach: A New Tool for the Spatial Analysis of Urban Agglommerations. Population, Vol. 52, 1997, pp. 1005–1040.
20.
BattyM. P. Longley, and S. Fotheringham. Urban Growth and Form: Scaling, Fractal Geometry, and Diffusion-Limited Aggregation. Environment and Planning A, Vol. 21, 1989, pp. 1447–1472.
21.
BattyM. and XieY.. Preliminary Evidence for a Theory of the Fractal City. Environment and Planning A, Vol. 28, 1996, pp. 1745–1762.
22.
ShenG.A Fractal Dimension Analysis of Urban Transportation Networks. Geographical and Environmental Modelling, Vol. 1, 1997, pp. 221–236.
23.
LuY. and TangJ.. Fractal Dimension of a Transportation Network and Its Relationship with Urban Growth: A Study of the Dallas-Fort Worth Area. Environment and Planning B, Vol. 31, 2004, pp. 895–911.
24.
BenguiguiL. and DaoudM.. Is the Suburban Railway System a Fractal?Geographical Analysis, Vol. 23, 1991, pp. 362–368.
25.
KimK. S.BenguiguiL. and MarinovM.. The Fractal Structure of Seoul's Public Transportation System. Cities, Vol. 20, 2003, pp. 31–39.
26.
ButtenfieldB. P. and DeColaL.. Multiscale Mapping for the NSDI: Data Modeling and Representation. GIS/LIS, 1994, pp. 870–880.
27.
StoughR. R. and KulkarniR. G.. Regional Transport Networks and Connectivity. 21st Australasian Transport Research Forum, Vol. 21, 1997, pp. 677–690.
28.
RodinV. and RodinaE.. The Fractal Dimension of Tokyo's Streets. Fractals, Vol. 8, 2000, pp. 413–418.
29.
PaczuskiM. and NagelK.. Self-Organized Criticality and $1/f$ Noise in Traffic. In Traffic and Granular Flow, World Scientific, Singapore, 1996. arxiv.org/abs/cond-mat/9602011. Accessed Feb. 14, 2005.