Technical note: A two-sided affine power scaling relationship to represent the concentration–discharge relationship

• Main Authors: J. M. Tunqui Neira, V. Andréassian, G. Tallec, J.-M. Mouchel
• Format: Article
• Language: English
• Published: Copernicus Publications 2020-04-01
• Series: Hydrology and Earth System Sciences
• Online Access: https://www.hydrol-earth-syst-sci.net/24/1823/2020/hess-24-1823-2020.pdf

<p>This technical note deals with the mathematical representation of concentration–discharge relationships. We propose a two-sided affine power scaling relationship (2S-APS) as an alternative to the classic one-sided power scaling relationship (commonly known as “power law”). We also discuss the identification of the parameters of the proposed relationship, using an appropriate numerical criterion. The application of 2S-APS to the high-frequency chemical time series of the Orgeval-ORACLE observatory is presented here (in calibration and validation mode): it yields better results for several solutes and for electrical conductivity in comparison with the power law relationship.</p>