Articles | Volume 24, issue 4
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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Manuscript not accepted for further review
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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,, 2007. 
Bieroza, M. Z., Heathwaite, A. L., Bechmann, M., Kyllmar, K., and Jordan, P.: The concentration-discharge slope as a tool for water quality management, Sci. Total Environ., 630, 738–749,, 2018. 
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,, 2019. 
Box, G. E. and Cox, D. R.: An analysis of transformations, J. Roy. Stat. Soc. B Met., 26, 211–243, 1964. 
Box, G. E., Jenkins, G. M., Reinsel, G. C., and Ljung, G. M.: Analysis of Seasonal Time Series, in: Time series analysis. Forecasting and Control, 5th edn., John Wiley & Sons Inc., Hoboken, New Jersey, USA, 305–351, 2016. 
Short summary
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.