References on the BaRatin method and the associated rating curve models
Darienzo, M., Detection and estimation of stage-discharge rating shifts for retrospective and real-time streamflow quantification, PhD thesis, 2021.
Darienzo, M., Le Coz, J., Renard, B., Lang, M., Detection of stage-discharge rating shifts using gaugings: a recursive segmentation procedure accounting for observational and model uncertainties, Water Resources Research, 57, e2020WR028607, 2021.
Horner I., Renard B., Le Coz J., Branger F., McMillan H.K., Pierrefeu G., Impact of stage measurement errors on streamflow uncertainty, Water Resources Research, 54, 1952-1976, 2018.
Le Coz, J., Renard, B., Bonnifait, L., Branger, F., Le Boursicaud, R. Combining hydraulic knowledge and uncertain gaugings in the estimation of hydrometric rating curves: a Bayesian approach, Journal of Hydrology, 509, 573-587, 2014.
Le Coz, J., Renard, B., Bonnifait, L., Branger, F., Le Boursicaud, R. Uncertainty Analysis of Stage-Discharge Relations using the BaRatin Bayesian Framework. 35th IAHR World Congress 08/09/2013-13/09/2013, Chengdu, China, 9 p, 2013.
Le Coz, J., Moukandi N’kaya, G. D., Bricquet, J.-P., Laraque, A., Renard, B., Estimation bayésienne des courbes de tarage et des incertitudes associées : application de la méthode BaRatin au Congo à Brazzaville, Proc. IAHS, 384, 25-29, 2021.
Le Coz, J., Renard, B., Lang, M., Calmel, B., Mendez Rios, F., Hauet, A., Despax, A., Perret, E., Bonnifait, L., Développement d’outils pour la quantification des incertitudes des données hydrométriques,
LHB Hydroscience, 110(1), 2337704, 2024.
Mansanarez, V. Non unique stage-discharge relations: Bayesian analysis of complex rating curves and their uncertainties, PhD thesis, 2016.
Mansanarez, V., Le Coz, J., Renard, B., Vauchel, P., Pierrefeu, G., Lang, M. Bayesian analysis of stage-fall-discharge rating curves and their uncertainties, Water Resources Research, 52, 7424-7443, 2016.
Mansanarez, V., Renard, B., Le Coz, J. Lang, M., Darienzo, M., Shift happens! Adjusting stage-discharge rating curves to riverbed morphological changes at known times, Water Resources Research, 55, 2876-2899, 2019.
Perret, E., Le Coz, J., Renard, B., A rating curve model accounting for cyclic stage-discharge shifts due to seasonal aquatic vegetation, Water Resources Research, 57, e2020WR027745, 2021.
Perret, E., Le Coz, J., Renard, B., Dynamic rating curves for seasonal aquatic vegetation (Courbes de tarage dynamiques pour la végétation aquatique saisonnière), LHB Hydroscience Journal, 108(1), 2082339, 2022.
References using BaRatin and associated tools
Ahrendt, S., Horner-Devine, A. R., Collins, B. D., Morgan, J. A., Istanbulluoglu, E., Channel conveyance variability can influence flood risk as much as streamflow variability in western Washington State. Water Resources Research, 58, e2021WR031890, 2022.
Cornelio, R., Ligaray, M., Moya, T., Ringor, C., Proof of concept for Bayesian inference of dynamic rating curve uncertainty in a sparsely gauged watershed, Hydrological Sciences Journal, 69:15, 2172-2201, 2024.
Das, T., Das, S., An integrated Bayesian hydrodynamic framework for quantifying rating curve uncertainty in design flood estimation and flood hazard mapping in a data-scarce urban area, Water Research, 288, 124610, 2026.
Eleutério, I., Silva, F., Costa, V., Assessing the stage-period-discharge framework for modeling highly unstable rating curves: a case study at the UHE Peti Carrapato streamflow Gauging Station, Brazil, Stochastic Environmental Research and Risk Assessment, 39:829–845, 2025.
Francke, T., Foerster, S., Brosinsky, A., Sommerer, E., Lopez-Tarazon, J.A., Güntner, A., Batalla, R.J., Bronstert, A., Water and sediment fluxes in Mediterranean mountainous regions: Comprehensive dataset for hydro-sedimentological analyses and modelling in a mesoscale catchment (River Isábena, NE Spain), Earth System Science Data, 10(2), 1063-1075, 2018.
Garcia, R., Costa, V., Silva, F., Bayesian rating curve modeling: alternative error model to improve low-flow uncertainty estimation, Journal of Hydrological Engineering, 25(5): 04020012, 2020.
Gouy, V., Liger, L., Ahrouch, S., Bonnineau, C., Carluer, N., Chaumot, A., Coquery, M., Dabrin, A., Margoum, C., Pesce, S., Ardières-Morcille in the Beaujolais, France: A research catchment dedicated to study of the transport and impacts of diffuse agricultural pollution in rivers, Hydrological Processes, 35(10), e14384, 2021.
Henn, B., Painter, T.H., Bormann, K.J., McGurk, B., Flint, A.L., Flint, L.E., White, V., Lundquist, J.D., High-Elevation Evapotranspiration Estimates During Drought: Using Streamflow and NASA Airborne Snow Observatory SWE Observations to Close the Upper Tuolumne River Basin Water Balance, Water Resources Research, 54(2), 746-766, 2018.
Horner, I., Le Coz, J., Renard, B., Branger, F., Lagouy, M., Streamflow uncertainty due to the limited sensitivity of controls at hydrometric stations, Hydrological Processes, 36(2), e14497, 2022.
Kastali, A., Zeroual, A., Remaoun, M., Serrano-Notivoli, R., Moramarco, T. Design Flood and Flood-Prone Areas under Rating Curve Uncertainty: Area of Vieux-Ténès, Algeria, Journal of Hydrologic Engineering, 26(3), 05020054, 2020.
Kastali, A., Zeroual, A., Zeroual, S., Hamitouche, Y., Auto-calibration of HEC-HMS Model for Historic Flood Event under Rating Curve Uncertainty. Case Study: Allala Watershed, Algeria, KSCE Journal of Civil Engineering, 26(1), 482-493, 2022.
Kazimierski, L.D., GarcÃa, P.E., Ortiz, N., Morale, M., Re, M., Aforos de rÃos y arroyos en la Cuenca Matanza-Riachuelo. Elaboración de relaciones altura - caudal (curvas HQ). Informe LHA 05-397-21, Instituto Nacional del Agua (INA) – ACUMAR, Ezeiza, Argentina, 2021.
Kiang, J.E., Gazoorian, C., McMillan, H., Coxon, G., Le Coz, J., Westerberg, I., Belleville, A., Sevrez, D., Sikorska, A.E., Petersen-Øverleir, A., Reitan, T., Freer, J., Renard, B., Mansanarez, V., Mason, R., A comparison of methods for streamflow uncertainty estimation, Water Resources Research, 54(10), 7149-7176, 2018.
Kona S.V., Das Bhowmik R., Understanding the interannual variation in the river stage-discharge relationship and its impact on flood discharge estimation, Journal of Hydrologic Engineering, 30(4), 04025020, 2025.
Lang, M., Darienzo, M., Le Coz, J., Renard, B., Evaluation des incertitudes et de l’homogénéité de longues séries de débits de crue sur le Rhin à Bâle (1225-2017) et Maxau (1815-2018), LHB-Hydroscience, 108:1, 2053313, 2022.
Lang, M., Le Coz, J., Renard, B., Darienzo, M., Accounting for historical data uncertainty in flood frequency analysis: the Upper Rhine River, Journal of Hydrology, 660, 133480, 2025.
Laraque, A., Le Coz, J., Moukandi N’kaya, G.D., Bissemo, G., Ayissou, L., Rouché, N., Bricquet, J.-P., Gulemvuga, G., Courbes de tarage du fleuve Congo à Brazzaville-Kinshasa, LHB-Hydroscience, 108:1, 2022.
Louis, R., Zech, Y., Joseph, A., Gonomy, N., Soares-Frazao, S., Flood modeling of the June 2023 flooding of Léogâne City by the overflow of the Rouyonne River in Haiti, Water, 16, 2594, 2024.
Lucas, M., Renard, B., Le Coz, J., Lang, M., Bard, A., Pierrefeu, G., Are historical stage records useful to decrease the uncertainty of flood frequency analysis? A 200-year long case study, Journal of Hydrology, 624, 129840, 2023.
Lucas, M., Lang, M., Renard, B., Le Coz, J., A more comprehensive uncertainty framework for historical flood frequency analysis: a 500-year long case study, Hydrology and Earth System Sciences, 28(22), 5031-5047, 2024.
Lundquist, J.D., Roche, J.W., Forrester, H., Moore, C., Keenan, E., Perry, G., Cristea, N., Henn, B., Lapo, K., McGurk, B., Cayan, D.R., Dettinger, M.D. Yosemite hydroclimate network: distributed stream and atmospheric data for the Tuolumne River watershed and surroundings, Water Resources Research, 52, 7478-7489, 2016.
Maldonado, L.H., Firmo Kazay, D., Romero Lopez, E.E., The estimation of the uncertainty associated with rating curves of the river Ivinhema in the state of Paraná/Brazil, IAHR RiverFlow 2018 conference, E3S Web of Conferences, 40, 06029, 2018.
Masafu, C., Williams, R., Satellite video remote sensing for flood model validation. Water Resources Research, 60, e2023WR034545, 2024.
Mason, R.R. Jr., Kiang, J.E., Cohn, T.A. Rating curve uncertainty: An illustration of two estimation methods, IAHR River Flow conference, St. Louis, Missouri, USA, 12-15 July, 729-734, 2016.
Ocio, D., Le Vine, N., Westerberg, I., Pappenberger, F., Buytaert, W. The role of rating curve uncertainty in real-time flood forecasting, Water Resources Research, 53, 4197-4213, 2017.
Osorio, A.L.N.A., Reis, D.S. A Bayesian approach for the evaluation of rating curve uncertainties in flood frequency analyses, World Environmental and Water Resources Congress, West Palm Beach, Florida, USA, May 22-26, 482-491, 2016.
Osorio, A.L.N.A. Modelo bayesiano completo para análise de frequência de cheias com incorporação do conhecimento hidráulico na modelagem das incertezas na curva-chave [Full Bayesian model for flood frequency analysis with incorporation of hydraulic knowledge in the modeling of uncertainties in the rating curve], Master thesis, Universidade de BrasÃlia, Brazil, 161 p, 2017.
Perret, E., Le Coz, J., Renard, B., Courbes de tarage dynamiques pour la végétation aquatique saisonnière, LHB-Hydroscience, 108:1, 2082339, 2022.
Pic, J., Courapied, F., Fressard, M., Masson, M., Margoum, C., Gouy, V., Carluer, N. A multiparameter and multiscale dataset to study sediments and particle-bound pesticide dynamics of hydric transfers in a wine-dominated catchment, Hydrological Processes, 39:e70223, 2025.
Pink, I., Reaney, S.M., Hardy, R.J., Bovolo, C.I., Increased rainfall-runoff drives flood hazard intensification in Central Himalayan river systems, Scientific Reports, 15:42277, 2025.
Qiu, J., Liu, B., Yang, Z., Peng, W., Uncertainty analysis of estimated discharge based on stage-discharge rating curves [in Chinese], Shuikexue Jinzhan/Advances in Water Science, 31(2), 214-223, 2020.
Qiu, J., Liu, B., Yu, X., Yang, Z., Combining a segmentation procedure and the BaRatin stationary model to estimate nonstationary rating curves and the associated uncertainties, Journal of Hydrology, 597, 126168, 2021.
Rampinelli, C.G., Smith, T.J., Araújo, P.V.N., Addressing Uncertainty in Flood Hazard Mapping
under a Bayesian Approach, Journal of Hydrologic Engineering, 29(3), 04024004, 2024.
Sikorska, A.E., Renard, R. Calibrating a hydrological model in stage space to account for rating curve uncertainties: general framework and key challenges, Advances in Water Resources, 105, 51-66, 2017.
Storz, S.M. Stage-discharge relationships for two nested research catchments of the high-mountain observatory in the Simen Mountains National Park in Ethiopia, Master thesis, Bern University, Switzerland, 87 p, 2016.
Vieira, L.M.D.S., Sampaio, J.C.L., Costa, V.A.F., Eleutério, J.C., Assessing the effects of rating curve uncertainty in flood frequency analysis, Revista Brasileira de Recursos Hidricos, 27, e11, 2022.
Vormoor, K., Herzog, A., Francke, T., Bronstert, A., Patterns and processes of diel streamflow cycles along the longitudinal profile of an Alpine headwater stream, Hydrological Processes, 39:e70189, 2025.
Zeroual, A., Meddi, M., Assani, A.A. Artificial neural network rainfall-discharge model assessment under rating curve uncertainty and monthly discharge volume predictions, Water Resources Management, 30, 3191-3205, 2016.