Multifractal scaling analyses of urban street network structure: The cases of twelve megacities in China
Fig 2
Schematic representation of rescaling probability distribution for multifractal computation based on box-counting method.
The probability distribution of traffic links is calculated over all boxes and then weighted by moment order q. Dark red boxes represent dominant structures with higher weighted probability, and dark blue boxes represent lightweight regions with lower weighted probability. (A) Partial traffic networks in Shenzhen. (B) When q = 0, all nonempty boxes are equally weighted (gray). (C) When q = 1, the nonempty boxes are weighted by real growth probability. (D)-(E) For q>0, the boxes with relative high-density measures gradually gain more importance and their contribution to the entropy will dominate. (F) For q<0, the boxes with relatively low-density measures gradually gain more importance and their contribution to the entropy will dominate.