Publication Details |
Category | Text Publication |
Reference Category | Journals |
DOI | 10.1002/2017WR021555 |
Title (Primary) | Functional topology of evolving urban drainage networks |
Author | Yang, S.; Paik, K.; McGrath, G.S.; Urich, C.; Krueger, E.; Kumar, P.; Rao, P.S.C. |
Source Titel | Water Resources Research |
Year | 2017 |
Department | ASAM |
Volume | 53 |
Issue | 11 |
Page From | 8966 |
Page To | 8979 |
Language | englisch |
Supplements | https://agupubs.onlinelibrary.wiley.com/action/downloadSupplement?doi=10.1002%2F2017WR021555&file=wrcr22948-sup-0001-2017WR021555-s01.docx |
Keywords | urban drainage network; river network; self-similarity; fractal; infrastructure; self-organization |
UFZ wide themes | RU2; |
Abstract | We investigated the scaling and topology of engineered urban drainage networks (UDNs) in two cities, and further examined UDN evolution over decades. UDN scaling was analyzed using two power law scaling characteristics widely employed for river networks: (1) Hack’s law of length (L)-area (A) [L / Ah] and (2) exceedance probability distribution of upstream contributing area (d) [PðA dÞ ad2E]. For the smallest UDNs (<2 km2), length-area scales linearly (h ∼ 1), but power law scaling (h ∼ 0.6) emerges as the UDNs grow. While PðA dÞ plots for river networks are abruptly truncated, those for UDNs display exponential tempering [PðA dÞ5ad2Eexp ð2cdÞ]. The tempering parameter c decreases as the UDNs grow, implying that the distribution evolves in time to resemble those for river networks. However, the power law exponent E for large UDNs tends to be greater than the range reported for river networks. Differences in generative processes and engineering design constraints contribute to observed differences in the evolution of UDNs and river networks, including subnet heterogeneity and nonrandom branching. |
Persistent UFZ Identifier | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=19786 |
Yang, S., Paik, K., McGrath, G.S., Urich, C., Krueger, E., Kumar, P., Rao, P.S.C. (2017): Functional topology of evolving urban drainage networks Water Resour. Res. 53 (11), 8966 - 8979 10.1002/2017WR021555 |