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2017 ; 7
(1
): 4312
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The angular nature of road networks
#MMPMID28655898
Molinero C
; Murcio R
; Arcaute E
Sci Rep
2017[Jun]; 7
(1
): 4312
PMID28655898
show ga
Road networks are characterised by several structural and geometrical properties.
The topological structure determines partially the hierarchical arrangement of
roads, but since these are networks that are spatially constrained, geometrical
properties play a fundamental role in determining the network's behaviour,
characterising the influence of each of the street segments on the system. In
this work, we apply percolation theory to the UK's road network using the
relative angle between street segments as the occupation probability. The
appearance of the spanning cluster is marked by a phase transition, indicating
that the system behaves in a critical way. Computing Shannon's entropy of the
cluster sizes, different stages of the percolation process can be discerned, and
these indicate that roads integrate to the giant cluster in a hierarchical
manner. This is used to construct a hierarchical index that serves to classify
roads in terms of their importance. The obtained classification is in very good
correspondence with the official designations of roads. This methodology hence
provides a framework to consistently extract the main skeleton of an urban system
and to further classify each road in terms of its hierarchical importance within
the system.
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