Articles | Volume 24, issue 4
https://doi.org/10.5194/hess-24-1823-2020
https://doi.org/10.5194/hess-24-1823-2020
Technical note
 | 
14 Apr 2020
Technical note |  | 14 Apr 2020

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

José Manuel Tunqui Neira, Vazken Andréassian, Gaëlle Tallec, and Jean-Marie Mouchel

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Cited articles

Andréassian, V., Lerat, J., Loumagne, C., Mathevet, T., Michel, C., Oudin, L., and Perrin, C.: What is really undermining hydrologic science today?, Hydrol. Process., 21, 2819–2822, https://doi.org/10.1002/hyp.6854, 2007. 
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Botter, M., Burlando, P., and Fatichi, S.: Anthropogenic and catchment characteristic signatures in the water quality of Swiss rivers: a quantitative assessment, Hydrol. Earth Syst. Sci., 23, 1885–1904, https://doi.org/10.5194/hess-23-1885-2019, 2019. 
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This paper 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, based on high-frequency chemical time series of the Orgeval-ORACLE observatory.