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Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/hess-2019-550
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-2019-550
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: technical note 16 Oct 2019

Submitted as: technical note | 16 Oct 2019

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This discussion paper is a preprint. It is a manuscript under review for the journal Hydrology and Earth System Sciences (HESS).

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

José Manuel Tunqui Neira1,2, Vazken Andréassian1, Gaëlle Tallec1, and Jean-Marie Mouchel2 José Manuel Tunqui Neira et al.
  • 1Irstea, HYCAR Research Unit, Antony, France
  • 2Sorbonne Université, CNRS, EPHE, UMR Metis 7619, Paris, France

Abstract. 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 (in calibration and validation mode): It yields better results for several solutes and for electrical conductivity in comparison with the power law relationship.

José Manuel Tunqui Neira et al.
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José Manuel Tunqui Neira et al.
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Short summary
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 obs.
This technical note deals with the mathematical representation of concentration–discharge...
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