Accounting for three sources of uncertainty in ensemble hydrological forecasting

Abstract. Seeking more accuracy and reliability, the hydrometeorological community has developed several tools to decipher the different sources of uncertainty in relevant modeling processes. Among them, the ensemble Kalman filter (EnKF), multimodel approaches and meteorological ensemble forecasting proved to have the capability to improve upon deterministic hydrological forecast. This study aims to untangle the sources of uncertainty by studying the combination of these tools and assessing their respective contribution to the overall forecast quality. Each of these components is able to capture a certain aspect of the total uncertainty and improve the forecast at different stages in the forecasting process by using different means. Their combination outperforms any of the tools used solely. The EnKF is shown to contribute largely to the ensemble accuracy and dispersion, indicating that the initial conditions uncertainty is dominant. However, it fails to maintain the required dispersion throughout the entire forecast horizon and needs to be supported by a multimodel approach to take into account structural uncertainty. Moreover, the multimodel approach contributes to improving the general forecasting performance and prevents this performance from falling into the model selection pitfall since models differ strongly in their ability. Finally, the use of probabilistic meteorological forcing was found to contribute mostly to long lead time reliability. Particular attention needs to be paid to the combination of the tools, especially in the EnKF tuning to avoid overlapping in error deciphering.

[1]  F. Anctil,et al.  Assessment of a multimodel ensemble against an operational hydrological forecasting system , 2015 .

[2]  Emmanuel Roulin,et al.  Post‐processing of medium‐range probabilistic hydrological forecasting: impact of forcing, initial conditions and model errors , 2015 .

[3]  C. Perrin,et al.  Improvement of a parsimonious model for streamflow simulation , 2003 .

[4]  Dominique Thiéry Utilisation d'un modèle global pour identifier sur un niveau piézométrique des influences multiples dues à diverses activités humaines. , 1982 .

[5]  Peter Salamon,et al.  Assimilation of MODIS Snow Cover Area Data in a Distributed Hydrological Model Using the Particle Filter , 2013, Remote. Sens..

[6]  M. Sugawara,et al.  Automatic calibration of the tank model / L'étalonnage automatique d'un modèle à cisterne , 1979 .

[7]  A. Jakeman,et al.  Computation of the instantaneous unit hydrograph and identifiable component flows with application to two small upland catchments , 1990 .

[8]  Peter Salamon,et al.  Disentangling uncertainties in distributed hydrological modeling using multiplicative error models and sequential data assimilation , 2010 .

[9]  B. Mazenc,et al.  Analyse de l'influence de la physiographie d'un bassin versant sur les paramètres d'un modèle hydrologique global et sur les débits caractéristiques à l'exutoire , 1984 .

[10]  Geir Evensen,et al.  The Ensemble Kalman Filter: theoretical formulation and practical implementation , 2003 .

[11]  S. Sorooshian,et al.  Multimodel Combination Techniques for Analysis of Hydrological Simulations: Application to Distributed Model Intercomparison Project Results , 2006 .

[12]  T. Palmer,et al.  Stochastic representation of model uncertainties in the ECMWF ensemble prediction system , 2007 .

[13]  Soroosh Sorooshian,et al.  A shuffled Complex Evolution Metropolis algorithm for confronting parameter uncertainty in hydrologic modeling , 2004 .

[14]  Henrik Madsen,et al.  Impact of uncertainty description on assimilating hydraulic head in the MIKE SHE distributed hydrological model , 2015 .

[15]  Jan Mandel,et al.  Efficient Implementation of the Ensemble Kalman Filter Efficient Implementation of the Ensemble Kalman Filter , 2022 .

[16]  Andrew Binley,et al.  GLUE: 20 years on , 2014 .

[17]  Soroosh Sorooshian,et al.  Dual state-parameter estimation of hydrological models using ensemble Kalman filter , 2005 .

[18]  Hamid Moradkhani,et al.  Examining the effectiveness and robustness of sequential data assimilation methods for quantification of uncertainty in hydrologic forecasting , 2012 .

[19]  Y. Hong,et al.  Hydrological data assimilation with the Ensemble Square-Root-Filter: Use of streamflow observations to update model states for real-time flash flood forecasting , 2013 .

[20]  Keith Beven,et al.  On doing better hydrological science , 2008 .

[21]  Oldrich Rakovec,et al.  State updating of a distributed hydrological model with Ensemble Kalman Filtering: Effects of updating frequency and observation network density on forecast accuracy , 2012 .

[22]  F. Molteni,et al.  The ECMWF Ensemble Prediction System: Methodology and validation , 1996 .

[23]  François Anctil,et al.  On the difficulty to optimally implement the Ensemble Kalman filter: An experiment based on many hydrological models and catchments , 2015 .

[24]  F. Anctil,et al.  Why Should Ensemble Spread Match the RMSE of the Ensemble Mean , 2014 .

[25]  James D. Brown,et al.  The Science of NOAA's Operational Hydrologic Ensemble Forecast Service , 2014 .

[26]  Anthony J. Jakeman,et al.  Assessing the impact of land use change on hydrology by ensemble modeling (LUCHEM) I: Model intercomparison with current land use , 2009 .

[27]  Sean W. Fleming,et al.  Streamflow Modelling: A Primer on Applications, Approaches and Challenges , 2012 .

[28]  Sequential data assimilation for streamflow forecasting using a distributed hydrologic model: particle filtering and ensemble Kalman filtering , 2013 .

[29]  François Anctil,et al.  Multimodel evaluation of twenty lumped hydrological models under contrasted climate conditions , 2011 .

[30]  P. L. Houtekamer,et al.  Toward Random Sampling of Model Error in the Canadian Ensemble Prediction System , 2010 .

[31]  Soroosh Sorooshian,et al.  A framework for development and application of hydrological models , 2001, Hydrology and Earth System Sciences.

[32]  A. Raftery,et al.  Strictly Proper Scoring Rules, Prediction, and Estimation , 2007 .

[33]  S. Bergström,et al.  DEVELOPMENT OF A CONCEPTUAL DETERMINISTIC RAINFALL-RUNOFF MODEL , 1973 .

[34]  Jonathan J. Gourley,et al.  A method for identifying sources of model uncertainty in rainfall-runoff simulations , 2004 .

[35]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[36]  Jutta Thielen,et al.  The european flood alert system EFAS - Part 2: statistical skill assessment of probabilistic and deterministic operational forecasts. , 2008 .

[37]  C. Perrin,et al.  ‘As simple as possible but not simpler’: What is useful in a temperature-based snow-accounting routine? Part 2 – Sensitivity analysis of the Cemaneige snow accounting routine on 380 catchments , 2014 .

[38]  Qingyun Duan,et al.  An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction , 2006 .

[39]  V. Singh,et al.  Application and testing of the simple rainfall-runoff model SIMHYD , 2002 .

[40]  F. Anctil,et al.  Exploration of sequential streamflow assimilation in snow dominated watersheds , 2015 .

[41]  Florian Pappenberger,et al.  Ensemble flood forecasting: a review. , 2009 .

[42]  Johan Alexander Huisman,et al.  Assessing the impact of land use change on hydrology by ensemble modelling (LUCHEM) IV: Model sensitivity to data aggregation and spatial (re-)distribution , 2009 .

[43]  Young-Oh Kim,et al.  Comparison of pre‐ and post‐processors for ensemble streamflow prediction , 2010 .

[44]  M. Clark,et al.  Operational hydrological data assimilation with the recursive ensemble Kalman filter , 2013 .

[45]  Denis Tremblay,et al.  Hydro-economic assessment of hydrological forecasting systems , 2012 .

[46]  E. Hansen,et al.  NUMERICAL SIMULATION OF THE RAINFALL-RUNOFF PROCESS ON A DAILY BASIS , 1973 .

[47]  F. Anctil,et al.  Can a multi-model approach improve hydrological ensemble forecasting? A study on 29 French catchments using 16 hydrological model structures , 2011 .

[48]  R. Garçon Modèle global pluie-débit pour la prévision et la prédétermination des crues , 1999 .

[49]  Yuqiong Liu,et al.  Uncertainty in hydrologic modeling: Toward an integrated data assimilation framework , 2007 .

[50]  Christian Gagné,et al.  Simplifying a hydrological ensemble prediction system with a backward greedy selection of members – Part 2: Generalization in time and space , 2011 .

[51]  Warren E. Walker,et al.  Defining Uncertainty: A Conceptual Basis for Uncertainty Management in Model-Based Decision Support , 2003 .

[52]  P.M.M. Warmerdam,et al.  Modelling rainfall runoff processes in the Hupselse Beek Research basin , 1997 .

[53]  A. Weerts,et al.  Particle filtering and ensemble Kalman filtering for state updating with hydrological conceptual rainfall‐runoff models , 2006 .

[54]  Victor Koren,et al.  Assimilation of streamflow and in situ soil moisture data into operational distributed hydrologic models: Effects of uncertainties in the data and initial model soil moisture states , 2011 .

[55]  B. Hawkins,et al.  A framework: , 2020, Harmful Interaction between the Living and the Dead in Greek Tragedy.

[56]  Charles Perrin,et al.  Vers une amélioration d'un modèle global pluie-débit au travers d'une approche comparative , 2000 .

[57]  R. Ibbitt,et al.  Hydrological data assimilation with the ensemble Kalman filter: Use of streamflow observations to update states in a distributed hydrological model , 2007 .

[58]  P. E. O'Connell,et al.  River flow forecasting through conceptual models part II - The Brosna catchment at Ferbane , 1970 .

[59]  Tilmann Gneiting,et al.  Calibrating Multimodel Forecast Ensembles with Exchangeable and Missing Members Using Bayesian Model Averaging , 2010 .

[60]  H. Hersbach Decomposition of the Continuous Ranked Probability Score for Ensemble Prediction Systems , 2000 .

[61]  Soroosh Sorooshian,et al.  Challenges of operational river forecasting , 2014 .

[62]  François Anctil,et al.  A Comparison of the Canadian Global and Regional Meteorological Ensemble Prediction Systems for Short-Term Hydrological Forecasting , 2013 .

[63]  Quan J. Wang,et al.  Assimilation of streamflow discharge into a continuous flood forecasting model , 2011 .

[64]  Florian Pappenberger,et al.  HESS Opinions "Forecaster priorities for improving probabilistic flood forecasts" , 2013 .

[65]  Robert Leconte,et al.  Uncertainty of hydrological modelling in climate change impact studies in a Canadian, snow-dominated river basin , 2011 .

[66]  Johan Alexander Huisman,et al.  Assessing the impact of land use change on hydrology by ensemble modeling (LUCHEM) , 2009 .

[67]  X. R. Liu,et al.  The Xinanjiang model. , 1995 .

[68]  K. Beven,et al.  Testing a physically-based flood forecasting model (TOPMODEL) for three U.K. catchments , 1984 .

[69]  S. Sorooshian,et al.  A Shuffled Complex Evolution Metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters , 2002 .

[70]  A. Weerts,et al.  On noise specification in data assimilation schemes for improved flood forecasting using distributed hydrological models , 2013 .

[71]  C. M. DeChant,et al.  Improving the characterization of initial condition for ensemble streamflow prediction using data assimilation , 2011 .

[72]  X. Deng,et al.  Model Error Representation in an Operational Ensemble Kalman Filter , 2009 .

[73]  Christian Gagné,et al.  Evolutionary multiobjective optimization for selecting members of an ensemble streamflow forecasting model , 2013, GECCO '13.

[74]  Bruce A. Robinson,et al.  Treatment of uncertainty using ensemble methods: Comparison of sequential data assimilation and Bayesian model averaging , 2007 .

[75]  R. Moore,et al.  A distribution function approach to rainfall runoff modeling , 1981 .

[76]  Anthony J. Jakeman,et al.  Assessing the impact of land use change on hydrology by ensemble modelling(LUCHEM) II: ensemble combinations and predictions , 2009 .

[78]  Albrecht Weerts,et al.  Post-processing ECMWF precipitation and temperature ensemble reforecasts for operational hydrologic forecasting at various spatial scales ☆ , 2013 .

[79]  F. Anctil,et al.  Which potential evapotranspiration input for a lumped rainfall-runoff model?. Part 2: Towards a simple and efficient potential evapotranspiration model for rainfall-runoff modelling , 2005 .

[80]  C. W. Thornthwaite THE WATER BALANCE , 1955 .

[81]  F. Anctil,et al.  On the reliability of spatially disaggregated global ensemble rainfall forecasts , 2013 .

[82]  R. L. Winkler,et al.  Scoring Rules for Continuous Probability Distributions , 1976 .