Citation

Tay, Lea Tien and Sagar, B. S. Daya and Chuah, Hean Teik (2006) Allometric relationships between traveltime channel networks, convex hulls, and convexity measures. Water Resources Research, 42 (6). ISSN 0043-1397

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Abstract

The channel network (S) is a nonconvex set, while its basin [C( S)] is convex. We remove open-end points of the channel connectivity network iteratively to generate a traveltime sequence of networks (S-n). The convex hulls of these traveltime networks provide an interesting topological quantity, which has not been noted thus far. We compute lengths of shrinking traveltime networks L(S-n) and areas of corresponding convex hulls C(S-n), the ratios of which provide convexity measures CM(S-n) of traveltime networks. A statistically significant scaling relationship is found for a model network in the form L(S-n) similar to A[ C(S-n)](0.57). From the plots of the lengths of these traveltime networks and the areas of their corresponding convex hulls as functions of convexity measures, new power law relations are derived. Such relations for a model network are CM(S-n) similar to 1/L(S-n)(0.7) and CM(S-n) similar to 1/ A[C(S-n)](0.43). In addition to the model study, these relations for networks derived from seven subbasins of Cameron Highlands region of Peninsular Malaysia are provided. Further studies are needed on a large number of channel networks of distinct sizes and topologies to understand the relationships of these new exponents with other scaling exponents that define the scaling structure of river networks.

Item Type:	Article
Subjects:	G Geography. Anthropology. Recreation > GE Environmental Sciences (General)
Divisions:	Faculty of Engineering (FOE) Faculty of Engineering and Technology (FET)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	23 Sep 2011 03:34
Last Modified:	29 Dec 2020 17:45
URII:	http://shdl.mmu.edu.my/id/eprint/1954

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