Floods are known to exhibit self-similarity and follow scaling laws that form the basis of regional flood frequency analysis. However, the relationship between basin attributes and the scaling behavior of floods is still not fully understood. Identifying these relationships is essential for drawing connections between hydrological processes in a basin and the flood response of the basin. The existing studies mostly rely on simulation models to draw these connections. This paper proposes a new methodology that draws connections between basin attributes and the flood scaling exponents by using observed data. In the proposed methodology, region-of-influence approach is used to delineate homogeneous regions for each gaging station. Ordinary least squares regression is then applied to estimate flood scaling exponents for each homogeneous region, and finally stepwise regression is used to identify basin attributes that affect flood scaling exponents. The effectiveness of the proposed methodology is tested by applying it to data from river basins in the United States. The results suggest that flood scaling exponent is small for regions having (i) large abstractions from precipitation in the form of large soil moisture storages and high evapotranspiration losses, and (ii) large fractions of overland flow compared to base flow, i.e., regions having fast-responding basins. Analysis of simple scaling and multiscaling of floods showed evidence of simple scaling for regions in which the snowfall dominates the total precipitation.
Skip Nav Destination
Article navigation
July 2015
Research Article|
April 06 2015
On identifying relationships between the flood scaling exponent and basin attributes
Hemanta Medhi;
Hemanta Medhi
Department of Civil Engineering,
Indian Institute of Technology Kanpur
, Kanpur-208016, Uttar Pradesh, India
Search for other works by this author on:
Shivam Tripathi
Shivam Tripathi
a)
Department of Civil Engineering,
Indian Institute of Technology Kanpur
, Kanpur-208016, Uttar Pradesh, India
Search for other works by this author on:
a)
Author to whom correspondence should be addressed. Electronic mail: shiva@iitk.ac.in
Chaos 25, 075405 (2015)
Article history
Received:
November 16 2014
Accepted:
March 17 2015
Connected Content
A correction has been published:
Publisher's Note: “On identifying relationships between the flood scaling exponent and basin attributes” [Chaos 25, 075405 (2015)]
Citation
Hemanta Medhi, Shivam Tripathi; On identifying relationships between the flood scaling exponent and basin attributes. Chaos 1 July 2015; 25 (7): 075405. https://doi.org/10.1063/1.4916378
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
Sex, ducks, and rock “n” roll: Mathematical model of sexual response
K. B. Blyuss, Y. N. Kyrychko
Nonlinear comparative analysis of Greenland and Antarctica ice cores data
Berenice Rojo-Garibaldi, Alberto Isaac Aguilar-Hernández, et al.
Focus on the disruption of networks and system dynamics
Peng Ji, Jan Nagler, et al.