Articles | Volume 26, issue 5
https://doi.org/10.5194/hess-26-1203-2022
https://doi.org/10.5194/hess-26-1203-2022
Research article
 | 
04 Mar 2022
Research article |  | 04 Mar 2022

Quantifying input uncertainty in the calibration of water quality models: reordering errors via the secant method

Xia Wu, Lucy Marshall, and Ashish Sharma

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Cited articles

Ajami, N. K., Duan, Q., and Sorooshian, S.: An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction, Water Resour. Res., 43, W01403, https://doi.org/10.1029/2005WR004745, 2007. 
Baldwin, A. K., Robertson, D. M., Saad, D. A., and Magruder, C.: Refinement of Regression Models to Estimate Real-Time Concentrations of Contaminants in the Menomonee River Drainage Basin, Southeast Wisconsin, 2008–11, in: US Geological Survey Scientific Investigations Report 2013-5174, US Geological Survey Reston, Virginia, https://doi.org/10.3133/sir20135174, 2013. 
Beven, K. and Binley, A.: The future of distributed models: model calibration and uncertainty prediction, Hydrol. Process., 6, 279–298, https://doi.org/10.1002/hyp.3360060305, 1992. 
Bonhomme, C. and Petrucci, G.: Should we trust build-up/wash-off water quality models at the scale of urban catchments?, Water Res., 108, 422–431, https://doi.org/10.1016/j.watres.2016.11.027, 2017. 
Chaudhary, A. and Hantush, M. M.: Bayesian Monte Carlo and maximum likelihood approach for uncertainty estimation and risk management: Application to lake oxygen recovery model, Water Res., 108, 301–311, https://doi.org/10.1016/j.watres.2016.11.012, 2017. 
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Short summary
Decomposing parameter and input errors in model calibration is a considerable challenge. This study transfers the direct estimation of an input error series to their rank estimation and develops a new algorithm, i.e., Bayesian error analysis with reordering (BEAR). In the context of a total suspended solids simulation, two synthetic studies and a real study demonstrate that the BEAR method is effective for improving the input error estimation and water quality model calibration.