Calibrating a hydrological model in stage space to account for rating curve uncertainties: general framework and key challenges

• Published in: Advances in water resources Vol. 105; pp. 51 - 66
• Main Authors: Sikorska, Anna E., Renard, Benjamin
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.07.2017; Elsevier Science Ltd; Elsevier
• Subjects: Bayesian analysis; Bayesian inference; Bayesian theory; Calibration; Case studies; Discharge; Environmental Sciences; Errors; Frameworks; France; Hydrologic models; Hydrological modeling; Hydrology; Mathematical models; Parameter uncertainty; Parametric uncertainty; Probability theory; Rain; Rainfall; Rainfall–stage model; Rating curve; Structural uncertainty; Studies; time series analysis; Uncertainty; water resources; France; Rating curve; Parametric uncertainty; Hydrological modeling; Bayesian inference; Structural uncertainty; Rainfall–stage model
• ISSN: 0309-1708; 1872-9657
• DOI: 10.1016/j.advwatres.2017.04.011

•Method for quantifying rating curve uncertainties in discharge prediction is proposed.•A rainfall–stage model is developed and calibrated in stage space.•We consider both structural and parametric uncertainties of the rating curve.•Shares of these errors in the total uncertainty of stages and discharges are assessed.•Ignoring rating curve errors affects the estimation of hydrological model parameters. [Display omitted] Hydrological models are typically calibrated with discharge time series derived from a rating curve, which is subject to parametric and structural uncertainties that are usually neglected. In this work, we develop a Bayesian approach to probabilistically represent parametric and structural rating curve errors in the calibration of hydrological models. To achieve this, we couple the hydrological model with the inverse rating curve yielding the rainfall–stage model that is calibrated in stage space. Acknowledging uncertainties of the hydrological and the rating curve models allows assessing their contribution to total uncertainties of stages and discharges. Our results from a case study in France indicate that (a) ignoring rating curve uncertainty leads to changes in hydrological parameters, and (b) structural uncertainty of hydrological model dominates other uncertainty sources. The paper ends with discussing key challenges that remain to be addressed to achieve a meaningful quantification of various uncertainty sources that affect hydrological model, as including input errors.