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

Related authors

Technical Note: Improved mathematical representation of concentration-discharge relationships
José Manuel Tunqui Neira, Vazken Andréassian, Gaëlle Tallec, and Jean-Marie Mouchel
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-325,https://doi.org/10.5194/hess-2019-325, 2019
Manuscript not accepted for further review
Short summary

Related subject area

Subject: Catchment hydrology | Techniques and Approaches: Mathematical applications
A national-scale hybrid model for enhanced streamflow estimation – consolidating a physically based hydrological model with long short-term memory (LSTM) networks
Jun Liu, Julian Koch, Simon Stisen, Lars Troldborg, and Raphael J. M. Schneider
Hydrol. Earth Syst. Sci., 28, 2871–2893, https://doi.org/10.5194/hess-28-2871-2024,https://doi.org/10.5194/hess-28-2871-2024, 2024
Short summary
Processes and controls of regional floods over eastern China
Yixin Yang, Long Yang, Jinghan Zhang, and Qiang Wang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2024-168,https://doi.org/10.5194/hess-2024-168, 2024
Revised manuscript accepted for HESS
Short summary
Inferring heavy tails of flood distributions through hydrograph recession analysis
Hsing-Jui Wang, Ralf Merz, Soohyun Yang, and Stefano Basso
Hydrol. Earth Syst. Sci., 27, 4369–4384, https://doi.org/10.5194/hess-27-4369-2023,https://doi.org/10.5194/hess-27-4369-2023, 2023
Short summary
Landscape structures regulate the contrasting response of recession along rainfall amounts
Jun-Yi Lee, Ci-Jian Yang, Tsung-Ren Peng, Tsung-Yu Lee, and Jr-Chuan Huang
Hydrol. Earth Syst. Sci., 27, 4279–4294, https://doi.org/10.5194/hess-27-4279-2023,https://doi.org/10.5194/hess-27-4279-2023, 2023
Short summary
Hydrological objective functions and ensemble averaging with the Wasserstein distance
Jared C. Magyar and Malcolm Sambridge
Hydrol. Earth Syst. Sci., 27, 991–1010, https://doi.org/10.5194/hess-27-991-2023,https://doi.org/10.5194/hess-27-991-2023, 2023
Short summary

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. 
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, https://doi.org/10.1016/j.scitotenv.2018.02.256, 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, https://doi.org/10.5194/hess-23-1885-2019, 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. 
Download
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.