Efficient uncertainty quantification for impact analysis of human interventions in rivers

Human interventions to optimise river functions are often contentious, disruptive, and expensive. To analyse the expected impact of an intervention before implementation, decision makers rely on computations with complex physics-based hydraulic models. The outcome of these models is known to be sensitive to uncertain input parameters, but long model runtimes render full probabilistic assessment infeasible with standard computer resources. In this paper we propose an alternative, efficient method for uncertainty quantification for impact analysis that significantly reduces the required number of model runs by using a subsample of a full Monte Carlo ensemble to establish a probabilistic relationship between pre- and post-intervention model outcome. The efficiency of the method depends on the number of interventions, the initial Monte Carlo ensemble size and the desired level of accuracy. For the cases presented here, the computational cost was decreased by 65%.

[1]  S. Hulscher,et al.  Modeling river dune development and dune transition to upper stage plane bed , 2016 .

[2]  Menno Straatsma,et al.  Uncertainty in hydromorphological and ecological modelling of lowland river floodplains resulting from land cover classification errors , 2013, Environ. Model. Softw..

[3]  PETER W. DOWNS,et al.  Post-Project Appraisals in Adaptive Management of River Channel Restoration , 2002, Environmental management.

[4]  H. Buiteveld,et al.  Impact of river training and retention measures on flood peaks along the Rhine , 2002 .

[5]  F. Giorgi,et al.  Probability of regional climate change based on the Reliability Ensemble Averaging (REA) method , 2003 .

[6]  Laura Uusitalo,et al.  An overview of methods to evaluate uncertainty of deterministic models in decision support , 2015, Environ. Model. Softw..

[7]  John Salvatier,et al.  Probabilistic programming in Python using PyMC3 , 2016, PeerJ Comput. Sci..

[8]  Richard L. Smith,et al.  Quantifying Uncertainty in Projections of Regional Climate Change: A Bayesian Approach to the Analysis of Multimodel Ensembles , 2005 .

[9]  Jeroen C. J. H. Aerts,et al.  Effectiveness of flood management measures on peak discharges in the Rhine basin under climate change , 2010 .

[10]  P. Bates,et al.  Efficient incorporation of channel cross-section geometry uncertainty into regional and global scale flood inundation models , 2015 .

[11]  Axel Bronstert,et al.  Multi‐scale modelling of land‐use change and river training effects on floods in the Rhine basin , 2007 .

[12]  A. O'Hagan,et al.  Predicting the output from a complex computer code when fast approximations are available , 2000 .

[13]  K. Beven,et al.  Uncertainty in the calibration of effective roughness parameters in HEC-RAS using inundation and downstream level observations , 2005 .

[14]  M. Werner,et al.  A comparison of flood extent modelling approaches through constraining uncertainties on gauge data , 2004 .

[15]  A. Hope,et al.  Predicting streamflow response to fire-induced landcover change: implications of parameter uncertainty in the MIKE SHE model. , 2007, Journal of environmental management.

[16]  P. Bates,et al.  Evaluation of 1D and 2D numerical models for predicting river flood inundation , 2002 .

[17]  Anthony J. Jakeman,et al.  Ten iterative steps in development and evaluation of environmental models , 2006, Environ. Model. Softw..

[18]  V. T. Chow Open-channel hydraulics , 1959 .

[19]  Nicholas Pinter,et al.  The use of retro- and scenario-modeling to assess effects of 100+ years river of engineering and land-cover change on Middle and Lower Mississippi River flood stages , 2009 .

[20]  R. E. Grift,et al.  Restoration strategies for river floodplains along large lowland rivers in Europe , 2002 .

[21]  S. Hulscher,et al.  Modeling of Spatial Lag in Bed-Load Transport Processes and Its Effect on Dune Morphology , 2017 .

[22]  Richard L. Smith,et al.  Bayesian Modeling of Uncertainty in Ensembles of Climate Models , 2009 .

[23]  Johan Alexander Huisman,et al.  Monte Carlo assessment of uncertainty in the simulated hydrological response to land use change , 2006 .

[24]  Menno Straatsma,et al.  Uncertainty in 2D hydrodynamic models from errors in roughness parameterization based on aerial images , 2011 .

[25]  Frans Klijn,et al.  Design quality of room-for-the-river measures in the Netherlands: role and assessment of the quality team (Q-team) , 2013 .

[26]  Jord Jurriaan Warmink,et al.  Uncertainty of design water levels due to combined bed form and vegetation roughness in the Dutch River Waal , 2013 .

[27]  Maarten S. Krol,et al.  Identification and classification of uncertainties in the application of environmental models , 2010, Environ. Model. Softw..

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

[29]  Anna Wesselink,et al.  Flood safety in the Netherlands: The Dutch response to Hurricane Katrina , 2007 .

[30]  Jennifer R. Dierauer,et al.  Evaluation of levee setbacks for flood-loss reduction, Middle Mississippi River, USA , 2012 .

[31]  Chris Zevenbergen,et al.  Room for the River: delivering integrated river basin management in the Netherlands , 2012 .

[32]  Phaedon-Stelios Koutsourelakis,et al.  Accurate Uncertainty Quantification Using Inaccurate Computational Models , 2009, SIAM J. Sci. Comput..

[33]  F. Pappenberger,et al.  Ignorance is bliss: Or seven reasons not to use uncertainty analysis , 2006 .

[34]  Paul D. Bates,et al.  Flood-plain mapping: a critical discussion of deterministic and probabilistic approaches , 2010 .

[35]  Andrew Gelman,et al.  The No-U-turn sampler: adaptively setting path lengths in Hamiltonian Monte Carlo , 2011, J. Mach. Learn. Res..

[36]  Daniel J.C. Skinner,et al.  A review of uncertainty in environmental risk: characterising potential natures, locations and levels , 2014 .

[37]  P. Young,et al.  Simplicity out of complexity in environmental modelling: Occam's razor revisited. , 1996 .

[38]  K. Eckhardt,et al.  Parameter uncertainty and the significance of simulated land use change effects , 2003 .

[39]  Keith Beven,et al.  Influence of uncertain boundary conditions and model structure on flood inundation predictions. , 2006 .

[40]  Will Usher,et al.  SALib: An open-source Python library for Sensitivity Analysis , 2017, J. Open Source Softw..

[41]  David Draper,et al.  Assessment and Propagation of Model Uncertainty , 2011 .

[42]  Edward J. Rykiel,et al.  Testing ecological models: the meaning of validation , 1996 .

[43]  J. Warner,et al.  Implementing Room for the River: narratives of success and failure in Kampen, the Netherlands , 2011 .

[44]  Thibault Mathevet,et al.  Hydrology under change: an evaluation protocol to investigate how hydrological models deal with changing catchments , 2015 .

[45]  Huib J. de Vriend,et al.  Stochastic Modelling of the Impact of Flood Protection Measures Along the River Waal in the Netherlands , 2005 .

[46]  Jord Jurriaan Warmink,et al.  Quantification of uncertainty in design water levels due to uncertain bed form roughness in the Dutch river Waal , 2013 .

[47]  Bryan A. Tolson,et al.  Review of surrogate modeling in water resources , 2012 .