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Bayesian calibration of groundwater models with input data uncertainty

Journal Article · · Water Resources Research
DOI:https://doi.org/10.1002/2016WR019512· OSTI ID:1466031
 [1];  [2];  [3];  [2];  [2]
  1. Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States); Michigan State Univ., East Lansing, MI (United States); Univ. of Illinois at Urgana-Champaign, IL (United States)
  2. Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
  3. Florida State Univ., Tallahassee, FL (United States)
Effective water resources management typically relies on numerical models to analyze groundwater flow and solute transport processes. Groundwater models are often subject to input data uncertainty, as some inputs (such as recharge and well pumping rates) are estimated and subject to uncertainty. Current practices of groundwater model calibration often overlook uncertainties in input data; this can lead to biased parameter estimates and compromised predictions. Through a synthetic case study of surface–ground water interaction under changing pumping conditions and land use, we investigate the impacts of uncertain pumping and recharge rates on model calibration and uncertainty analysis. We then present a Bayesian framework of model calibration to handle uncertain input of groundwater models. The framework implements a marginalizing step to account for input data uncertainty when evaluating likelihood. It was found that not accounting for input uncertainty may lead to biased, overconfident parameter estimates because parameters could be over–adjusted to compensate for possible input data errors. Parameter compensation can have deleterious impacts when the calibrated model is used to make forecast under a scenario that is different from calibration conditions. By marginalizing input data uncertainty, the Bayesian calibration approach effectively alleviates parameter compensation and gives more accurate predictions in the synthetic case study. The marginalizing Bayesian method also decomposes prediction uncertainty into uncertainties contributed by parameters, input data, and measurements. Furthermore, the results underscore the need to account for input uncertainty to better inform postmodeling decision making.
Research Organization:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0002687
OSTI ID:
1466031
Alternate ID(s):
OSTI ID: 1402401
Journal Information:
Water Resources Research, Journal Name: Water Resources Research Journal Issue: 4 Vol. 53; ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)Copyright Statement
Country of Publication:
United States
Language:
English

References (48)

Effective Groundwater Model Calibration book January 2007
Quantifying the predictive consequences of model error with linear subspace analysis: SUBSPACE ANALYSIS OF MODEL ERROR journal February 2014
Impacts of rainfall spatial variability on hydrogeological response journal February 2015
Global change and the groundwater management challenge: Groundwater Management Challenge journal May 2015
A review of surrogate models and their application to groundwater modeling: SURROGATES OF GROUNDWATER MODELS journal August 2015
Describing the catchment-averaged precipitation as a stochastic process improves parameter and input estimation: IMPROVING INPUT UNCERTAINTY QUANTIFICATION journal April 2016
A Bayesian approach to improved calibration and prediction of groundwater models with structural error journal November 2015
How do hydrologic modeling decisions affect the portrayal of climate change impacts?: Subjective Hydrologic Modelling Decisions in Climate Change Impacts journal October 2015
Efficient posterior exploration of a high-dimensional groundwater model from two-stage Markov chain Monte Carlo simulation and polynomial chaos expansion: Speeding up MCMC Simulation of a Groundwater Model journal May 2013
Effects of error covariance structure on estimation of model averaging weights and predictive performance: EFFECTS OF ERROR COVARIANCE STRUCTURE ON MODEL AVERAGING journal September 2013
Choosing appropriate techniques for quantifying groundwater recharge journal January 2002
Assessing the relative importance of parameter and forcing uncertainty and their interactions in conceptual hydrological model simulations journal November 2016
A truncated Levenberg–Marquardt algorithm for the calibration of highly parameterized nonlinear models journal June 2011
Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index journal February 2010
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems journal April 2009
Rainfall uncertainty in hydrological modelling: An evaluation of multiplicative error models journal March 2011
Variance-based global sensitivity analysis for multiple scenarios and models with implementation using sparse grid collocation journal September 2015
A hybrid regularized inversion methodology for highly parameterized environmental models: HYBRID REGULARIZATION METHODOLOGY journal October 2005
Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory: INPUT UNCERTAINTY IN HYDROLOGY, 1 journal March 2006
Bayesian analysis of input uncertainty in hydrological modeling: 2. Application: INPUT UNCERTAINTY IN HYDROLOGY, 2 journal March 2006
An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction: AN INTEGRATED BAYESIAN MULTIMODEL FRAMEWORK journal January 2007
Uncertainty in hydrologic modeling: Toward an integrated data assimilation framework: HYDROLOGIC DATA ASSIMILATION journal July 2007
Calibration of hydrological model GR2M using Bayesian uncertainty analysis: BAYESIAN UNCERTAINTY ANALYSIS journal February 2008
Comment on “An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction” by Newsha K. Ajami et al.: COMMENTARY journal March 2009
Calibration-constrained Monte Carlo analysis of highly parameterized models using subspace techniques: CALIBRATION-CONSTRAINED SSMC ANALYSIS journal January 2009
Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation: FORCING DATA ERROR USING MCMC SAMPLING journal December 2008
An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models: IMPROVING SAMPLING EFFICIENCY IN BAYESIAN CALIBRATION journal June 2009
Reply to Comment by B. Renard et al. on “An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction”: COMMENTARY journal March 2009
Obtaining parsimonious hydraulic conductivity fields using head and transport observations: A Bayesian geostatistical parameter estimation approach: COUPLED FLOW AND PARAMETER ESTIMATION journal August 2009
Understanding predictive uncertainty in hydrologic modeling: The challenge of identifying input and structural errors: IDENTIFIABILITY OF INPUT AND STRUCTURAL ERRORS journal May 2010
High-dimensional posterior exploration of hydrologic models using multiple-try DREAM (ZS) and high-performance computing : EFFICIENT MCMC FOR HIGH-DIMENSIONAL PROBLEMS journal January 2012
Toward a reliable decomposition of predictive uncertainty in hydrological modeling: Characterizing rainfall errors using conditional simulation: DECOMPOSING PREDICTIVE UNCERTAINTY IN HYDROLOGICAL MODELING journal November 2011
Analysis of regression confidence intervals and Bayesian credible intervals for uncertainty quantification: REGRESSION CONFIDENCE AND BAYESIAN CREDIBLE INTERVALS journal September 2012
Quantifying uncertainty sources in an ensemble of hydrological climate-impact projections: UNCERTAINTY SOURCES IN CLIMATE-IMPACT PROJECTIONS journal March 2013
The global groundwater crisis journal October 2014
Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review journal June 1996
Parameter Estimation for Groundwater Models under Uncertain Irrigation Data journal July 2014
Practical Use of Computationally Frugal Model Analysis Methods: M.C. Hill et al. Ground Water xx, no. x: xx-xx journal March 2015
Ground Water Model Calibration Using Pilot Points and Regularization journal March 2003
PRO-GRADE: GIS Toolkits for Ground Water Recharge and Discharge Estimation journal January 2009
Robust Responses of the Hydrological Cycle to Global Warming journal November 2006
Inference from Iterative Simulation Using Multiple Sequences journal November 1992
Accelerating Markov Chain Monte Carlo Simulation by Differential Evolution with Self-Adaptive Randomized Subspace Sampling journal January 2009
A new streamflow-routing (SFR1) package to simulate stream-aquifer interaction with MODFLOW-2000 report January 2004
Ground-Water Flow Model for the Spokane Valley-Rathdrum Prairie Aquifer, Spokane County, Washington, and Bonner and Kootenai Counties, Idaho report January 2007
Changes in precipitation with climate change journal March 2011
Improving uncertainty estimation in urban hydrological modeling by statistically describing bias journal January 2013
Towards a Practice Based View of Strategy journal January 2014

Cited By (4)

Toward a combined Bayesian frameworks to quantify parameter uncertainty in a large mountainous catchment with high spatial variability journal December 2018
RETRACTED ARTICLE: Uncertainty Analysis of a Continuous Hydrological Model Using DREAM-ZS Algorithm
  • Aghakhani Afshar, Amirhosein; Hassanzadeh, Yousef; Pourreza-Bilondi, Mohsen
  • Iranian Journal of Science and Technology, Transactions of Civil Engineering, Vol. 44, Issue 4 https://doi.org/10.1007/s40996-019-00287-7
journal June 2019
Estimation and Impact Assessment of Input and Parameter Uncertainty in Predicting Groundwater Flow With a Fully Distributed Model journal September 2018
Addressing Challenges for Mapping Irrigated Fields in Subhumid Temperate Regions by Integrating Remote Sensing and Hydroclimatic Data journal February 2019

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