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
Processes and controls of regional floods over eastern China
Yixin Yang, Long Yang, Jinghan Zhang, and Qiang Wang
Hydrol. Earth Syst. Sci., 28, 4883–4902, https://doi.org/10.5194/hess-28-4883-2024,https://doi.org/10.5194/hess-28-4883-2024, 2024
Short summary
Technical note: Quadratic solution of the approximate reservoir equation (QuaSoARe)
Julien Lerat
EGUsphere, https://doi.org/10.5194/egusphere-2024-3184,https://doi.org/10.5194/egusphere-2024-3184, 2024
Short summary
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
Understanding meteorological and physio-geographical controls of variability of flood event classes in China
Yongyong Zhang, Yongqiang Zhang, Xiaoyan Zhai, Jun Xia, Qiuhong Tang, Wei Wang, Jian Wu, Xiaoyu Niu, and Bing Han
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2024-126,https://doi.org/10.5194/hess-2024-126, 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

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.
Share