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Title: A dynamic data-driven method for dealing with model structural error in soil moisture data assimilation

Journal Article · · Advances in Water Resources

Attributing to the flexibility in considering various types of observation error and model error, data assimilation has been increasingly applied to dynamically improve soil moisture modeling in many hydrological practices. However, accurate characterization of model error, especially the part caused by defective model structure, presents a significant challenge to the successful implementation of data assimilation. Model structural error has received limited attention relative to parameter and input errors, mainly due to our poor understanding of structural inadequacy and the difficulties in parameterizing structural error. In this paper, we present a dynamic data-driven approach to estimate the model structural error in soil moisture data assimilation without the need for identifying error generation mechanism or specifying particular form for the error model. The error model is based on the Gaussian process regression and then integrated into the ensemble Kalman filter (EnKF) to form a hybrid method for dealing with multi-source model errors. Two variants of the hybrid method in terms of two different error correction manners are proposed. The effectiveness of the proposed method is tested through a suit of synthetic cases and a real-world case. Results demonstrate the potential of the proposed hybrid method for estimating model structural error and providing improved model predictions. Compared to the traditional EnKF without explicitly considering the model structural error, parameter compensation issue is obviously reduced and soil moisture retrieval is substantially improved.

Research Organization:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
Grant/Contract Number:
SC0019438
OSTI ID:
1803818
Alternate ID(s):
OSTI ID: 1566241
Journal Information:
Advances in Water Resources, Vol. 132; ISSN 0309-1708
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 29 works
Citation information provided by
Web of Science

References (63)

Soil moisture prediction with the ensemble Kalman filter: Handling uncertainty of soil hydraulic parameters journal December 2017
Integrating a calibrated groundwater flow model with error-correcting data-driven models to improve predictions journal January 2009
Feature selection based on mutual information criteria of max-dependency, max-relevance, and min-redundancy journal August 2005
Data assimilation in the presence of forecast bias journal January 1998
Links Between Root Length Density Profiles and Models of the Root System Architecture journal October 2012
Correcting for forecast bias in soil moisture assimilation with the ensemble Kalman filter: CORRECTING FOR FORECAST BIAS IN SOIL MOISTURE ASSIMILATION journal September 2007
Spatial and temporal characteristics of soil moisture in an intensively monitored agricultural field (OPE3) journal December 2006
Accounting for Model Errors in Ensemble Data Assimilation journal October 2009
The Ensemble Kalman Filter: theoretical formulation and practical implementation journal November 2003
Using a bias aware EnKF to account for unresolved structure in an unsaturated zone model: BIAS AWARE ENKF FOR UNRESOLVED STRUCTURE journal January 2014
Challenges of modifying root traits in crops for agriculture journal December 2014
Comparison of ensemble-based state and parameter estimation methods for soil moisture data assimilation journal December 2015
Data assimilation methods in the Earth sciences journal November 2008
Toward reduction of model uncertainty: Integration of Bayesian model averaging and data assimilation: TOWARD REDUCTION OF MODEL UNCERTAINTY journal March 2012
Hydraulic parameter estimation by remotely-sensed top soil moisture observations with the particle filter journal March 2011
A Bayesian approach to improved calibration and prediction of groundwater models with structural error journal November 2015
A framework for dealing with uncertainty due to model structure error journal November 2006
An improved variable selection method for support vector regression in NIR spectral modeling journal July 2018
A short exploration of structural noise: A SHORT EXPLORATION OF STRUCTURAL NOISE journal May 2010
Data assimilation of soil water flow via ensemble Kalman filter: Infusing soil moisture data at different scales journal December 2017
Treatment of bias in recursive filtering journal August 1969
Assessing parameter, precipitation, and predictive uncertainty in a distributed hydrological model using sequential data assimilation with the particle filter journal October 2009
An adaptive covariance inflation error correction algorithm for ensemble filters journal January 2007
Numerical Comparison of Iterative Ensemble Kalman Filters for Unsaturated Flow Inverse Modeling journal January 2014
A generalized Ross method for two- and three-dimensional variably saturated flow journal April 2013
Data assimilation for unsaturated flow models with restart adaptive probabilistic collocation based Kalman filter journal June 2016
Modeling Soil Water and Solute Transport-Fast, Simplified Numerical Solutions journal November 2003
A Bayesian tutorial for data assimilation journal June 2007
Determining soil moisture by assimilating soil temperature measurements using the Ensemble Kalman Filter journal December 2015
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
Multi-source data assimilation for physically based hydrological modeling of an experimental hillslope journal January 2018
Accounting for the Error due to Unresolved Scales in Ensemble Data Assimilation: A Comparison of Different Approaches journal November 2005
Towards a comprehensive assessment of model structural adequacy: ASSESSMENT OF MODEL STRUCTURAL ADEQUACY journal August 2012
Data‐Driven Model Uncertainty Estimation in Hydrologic Data Assimilation journal February 2018
Uncertainty assessment of hydrologic model states and parameters: Sequential data assimilation using the particle filter: UNCERTAINTY ASSESSMENT OF HYDROLOGIC MODEL journal May 2005
Treatment of uncertainty using ensemble methods: Comparison of sequential data assimilation and Bayesian model averaging: SEQUENTIAL DATA ASSIMILATION journal January 2007
Kalman filters for assimilating near-surface observations into the Richards equation – Part 3: Retrieving states and parameters from laboratory evaporation experiments journal January 2014
Bias aware Kalman filters: Comparison and improvements journal May 2006
One-dimensional soil moisture profile retrieval by assimilation of near-surface observations: a comparison of retrieval algorithms journal June 2001
Dual state-parameter estimation of root zone soil moisture by optimal parameter estimation and extended Kalman filter data assimilation journal March 2011
Correcting Biased Observation Model Error in Data Assimilation journal July 2017
Error covariance calculation for forecast bias estimation in hydrologic data assimilation journal December 2015
Dynamic modeling of predictive uncertainty by regression on absolute errors: DYNAMIC MODELING OF PREDICTIVE UNCERTAINTY journal March 2012
Real-time groundwater flow modeling with the Ensemble Kalman Filter: Joint estimation of states and parameters and the filter inbreeding problem: REAL-TIME GROUNDWATER FLOW MODELING journal September 2008
Vadose Zone Model-Data Fusion: State of the Art and Future Challenges journal November 2012
Kalman filters for assimilating near-surface observations into the Richards equation – Part 2: A dual filter approach for simultaneous retrieval of states and parameters journal January 2014
State and bias estimation for soil moisture profiles by an ensemble Kalman filter: Effect of assimilation depth and frequency: STATE AND BIAS ESTIMATION FOR SOIL MOISTURE journal June 2007
An Iterative Ensemble Kalman Filter journal August 2011
Developing joint probability distributions of soil water retention characteristics journal May 1988
A simulation model of water dynamics in winter wheat field and its application in a semiarid region journal July 2001
Model Error Estimation Employing an Ensemble Data Assimilation Approach journal May 2006
Soil water uptake and root distribution of different perennial and annual bioenergy crops journal November 2014
Estimating Model Parameters with Ensemble-Based Data Assimilation: A Review journal January 2013
An improved approach for estimating observation and model error parameters in soil moisture data assimilation: ESTIMATING DATA ASSIMILATION ERROR PARAMETERS journal December 2010
Richards Equation-Based Modeling to Estimate Flow and Nitrate Transport in a Deep Alluvial Vadose Zone journal November 2012
Impacts of different types of measurements on estimating unsaturated flow parameters journal May 2015
Uncertainty in hydrologic modeling: Toward an integrated data assimilation framework: HYDROLOGIC DATA ASSIMILATION journal July 2007
A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1 journal January 1980
Improved treatment of uncertainty in hydrologic modeling: Combining the strengths of global optimization and data assimilation: TREATMENT OF UNCERTAINTY IN HYDROLOGIC MODELING journal January 2005
Bias and data assimilation journal October 2005
An Information-Theoretic Framework for Improving Imperfect Dynamical Predictions Via Multi-Model Ensemble Forecasts journal March 2015
A Monte Carlo Implementation of the Nonlinear Filtering Problem to Produce Ensemble Assimilations and Forecasts journal December 1999
Modeling Root Water Uptake in Hydrological and Climate Models journal December 2001

Cited By (1)