MoN14: Fourteenth Mathematics of Networks meeting
Jingyan Yu (Leeds) Modelling the evolution of road networks
Abstract: Increasing efforts are made to understand quantitatively the time and space evolution of road networks. A series of models 1-5 were proposed to simulate the evolution of road networks; with simple evolutionary mechanisms, they were able to generate network patterns visually and statistically similar to road networks. These models lead to great insights into how space matters in the evolution process of road networks. Based on these models, this study proposes a simple algorithm to simulate the evolution of road networks and investigates how proximity relationship between network components affects the structure of the generated network patterns which further demonstrates the role space plays in the evolution.
1. Barthélemy, M. and A. Flammini, Modeling urban street patterns. Physical review letters, 2008. 100(13): p. 138702.
2. Barthélemy, M. and A. Flammini, Co-evolution of density and topology in a simple model of city formation. Networks and spatial economics, 2009. 9(3): p. 401-425.
3. Courtat, T., C. Gloaguen, and S. Douady, Mathematics and morphogenesis of cities: A geometrical approach. Physical Review E, 2011. 83(3): p. 036106.
4. Rui, Y., et al., Exploring the patterns and evolution of self-organized urban street networks through modeling. The European Physical Journal B, 2013. 86(3): p. 1-8.
5. Runions, A., et al., Modeling and visualization of leaf venation patterns. ACM Trans. Graph., 2005. 24(3): p. 702-711.
Contact:
Keith Briggs
(
)
or
Richard G. Clegg (richard@richardclegg.org)