Investigating soil moisture sensitivity to precipitation and evapotranspiration errors using SiB2 model and ensemble Kalman filter

Accurate soil moisture information is useful in agricultural practice, weather forecasting, and various hydrological applications. Although land surface modeling provides a viable approach to simulating soil moisture, many factors such as errors in the precipitation can affect the accuracy of soil moisture simulations. This paper examined how precipitation rate and evapotranspiration rate affect the accuracy of soil moisture simulation using simple biosphere model with and without data assimilation through ensemble Kalman filter (EnKF). For each of the two variables, seven levels of relative errors (−20, −10, −5, 0, 5, 10 and 20 %) were introduced independently, thus a total of 49 combined cases were investigated. Observations from Wudaogou Hydrology Experimental site in the Huaihe River basin, China, were used to drive and verify the simulations. Results indicate that when the error of precipitation rate is within 10 % of the observations, the resulting error in soil moisture simulations is less significant and manageable, thus the simulated precipitation can be used to drive hydrological models in poorly gauged catchments when observations are not available. When the error of evapotranspiration rate is within 20 % of the observations, which is partly caused by model structural and parameterization errors, its impact on soil moisture simulation is less significant and can be acceptable. This study also demonstrated that the EnKF can perform consistently well to improve soil moisture simulation with less sensitivity to precipitation errors.

[1]  K. W. Rojas,et al.  Calibrating the Root Zone Water Quality Model , 1999 .

[2]  R. Koster,et al.  Observational evidence that soil moisture variations affect precipitation , 2003 .

[3]  H. Madsen,et al.  Data assimilation in hydrodynamic modelling: on the treatment of non-linearity and bias , 2004 .

[4]  William R. Walter,et al.  New signatures of underground nuclear tests revealed by satellite radar interferometry , 2003 .

[5]  Č. Branković,et al.  An assessment of global and regional climate change based on the EH5OM climate model ensemble , 2009 .

[6]  G. Evensen Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics , 1994 .

[7]  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 .

[8]  Laj R. Ahuja,et al.  RZWQM: Simulating the effects of management on water quality and crop production , 1998 .

[9]  Peter E. Thornton,et al.  Technical Description of the Community Land Model (CLM) , 2004 .

[10]  T. Jackson,et al.  Using TRMM/TMI to Retrieve Surface Soil Moisture over the Southern United States from 1998 to 2002 , 2006 .

[11]  Toby N. Carlson,et al.  Decoupling of surface and near‐surface soil water content: A remote sensing perspective , 1997 .

[12]  Misgana K. Muleta,et al.  Sensitivity and uncertainty analysis coupled with automatic calibration for a distributed watershed model , 2005 .

[13]  Hans Wackernagel,et al.  Error covariance modeling in sequential data assimilation , 2001 .

[14]  Zhongbo Yu,et al.  A multi-layer soil moisture data assimilation using support vector machines and ensemble particle filter , 2012 .

[15]  Zhenchun Hao,et al.  Multi‐scale assimilation of root zone soil water predictions , 2011 .

[16]  Stéphane Bélair,et al.  A Land Data Assimilation System for Soil Moisture and Temperature: An Information Content Study , 2007 .

[17]  Liwang Ma,et al.  Rzwqm Simulations of Water and Nitrate Movement in a Manured Tall Fescue Field , 1998 .

[18]  W. Ni-Meister Recent Advances On Soil Moisture Data Assimilation , 2008 .

[19]  H. Gupta,et al.  Real-Time Data Assimilation for Operational Ensemble Streamflow Forecasting , 2006 .

[20]  Garik Gutman,et al.  On Modeling Dynamics of Geobotanic State–Climate Interaction , 1986 .

[21]  Xi Chen,et al.  The streamflow estimation using the Xinanjiang rainfall runoff model and dual state-parameter estimation method , 2013 .

[22]  S. Sorooshian,et al.  Effective and efficient global optimization for conceptual rainfall‐runoff models , 1992 .

[23]  Xin Li,et al.  An evaluation of the nonlinear/non-Gaussian filters for the sequential data assimilation , 2008 .

[24]  Bill X. Hu,et al.  Using data assimilation method to calibrate a heterogeneous conductivity field and improve solute transport prediction with an unknown contamination source , 2009 .

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

[26]  Murugesu Sivapalan,et al.  On the validation of a coupled water and energy balance model at small catchment scales , 1999 .

[27]  Bin Yong,et al.  Spatial and temporal characteristics of changes in precipitation during 1957–2007 in the Haihe River basin, China , 2011 .

[28]  S. Sorooshian,et al.  Shuffled complex evolution approach for effective and efficient global minimization , 1993 .

[29]  D. Randall,et al.  A Revised Land Surface Parameterization (SiB2) for Atmospheric GCMS. Part I: Model Formulation , 1996 .

[30]  Warren J. Busscher,et al.  Simulation of Field Water Use and Crop Yield , 1980 .

[31]  K. Taylor,et al.  An overview of results from the Coupled Model Intercomparison Project , 2003 .

[32]  D. Lawrence,et al.  Regions of Strong Coupling Between Soil Moisture and Precipitation , 2004, Science.

[33]  Chong-Yu Xu,et al.  Spatial and temporal variation of precipitation in Sudan and their possible causes during 1948–2005 , 2012, Stochastic Environmental Research and Risk Assessment.

[34]  T. Jackson,et al.  Soil moisture estimates from TRMM Microwave Imager observations over the Southern United States , 2003 .

[35]  Yongqiang Zhang,et al.  Predicting runoff in ungauged catchments by using Xinanjiang model with MODIS leaf area index , 2009 .

[36]  Peter A. Troch,et al.  Multifrequency radar observations of bare surface soil moisture content: A laboratory experiment , 1999 .

[37]  Ionel M. Navon,et al.  Parameter estimation of subsurface flow models using iterative regularized ensemble Kalman filter , 2013, Stochastic Environmental Research and Risk Assessment.

[38]  Chong-Yu Xu,et al.  Estimation of future precipitation change in the Yangtze River basin by using statistical downscaling method , 2011 .

[39]  Thomas J. Jackson,et al.  Assimilation of surface soil moisture to estimate profile soil water content , 2003 .

[40]  A. Segers,et al.  Variance reduced ensemble Kalman filtering , 2001 .

[41]  Peter Troch,et al.  Assimilation of active microwave observation data for soil moisture profile estimation , 2000 .

[42]  Chuntian Cheng,et al.  Combining a fuzzy optimal model with a genetic algorithm to solve multi-objective rainfall–runoff model calibration , 2002 .

[43]  Chong-yu Xu,et al.  Prediction of variability of precipitation in the Yangtze River Basin under the climate change conditions based on automated statistical downscaling , 2012, Stochastic Environmental Research and Risk Assessment.

[44]  Jian Zhao,et al.  Division-based rainfall-runoff simulations with BP neural networks and Xinanjiang model , 2009, Neurocomputing.

[45]  Ashish Pandey,et al.  Analysing trends in reference evapotranspiration and weather variables in the Tons River Basin in Central India , 2013, Stochastic Environmental Research and Risk Assessment.

[46]  Yongqin David Comparison of evapotranspiration variations between the Yellow River and Pearl River basin, China , 2011 .

[47]  J. Whitaker,et al.  Ensemble Data Assimilation without Perturbed Observations , 2002 .

[48]  Wade T. Crow,et al.  Using a Microwave Emission Model to Estimate Soil Moisture from ESTAR Observations during SGP99 , 2004 .

[49]  A. Jayawardena,et al.  A modified spatial soil moisture storage capacity distribution curve for the Xinanjiang model , 2000 .

[50]  Xianhong Xie,et al.  Data assimilation for distributed hydrological catchment modeling via ensemble Kalman filter , 2010 .

[51]  Praveen Kumar,et al.  Assimilation of near-surface temperature using extended Kalman filter , 2003 .

[52]  Thomas J. Jackson,et al.  Soil moisture estimation using special satellite microwave/imager satellite data over a grassland region , 1997 .

[53]  Joe T. Ritchie,et al.  Model for predicting evaporation from a row crop with incomplete cover , 1972 .

[54]  Günter Blöschl,et al.  On the spatial scaling of soil moisture , 1999 .

[55]  Zhongbo Yu,et al.  Dual state-parameter estimation of root zone soil moisture by optimal parameter estimation and extended Kalman filter data assimilation , 2011 .

[56]  Wade T. Crow,et al.  Towards the estimation root-zone soil moisture via the simultaneous assimilation of thermal and microwave soil moisture retrievals , 2010 .

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

[58]  Jeffrey P. Walker,et al.  New technologies require advances in hydrologic data assimilation , 2003 .

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

[60]  A. Dalcher,et al.  A Simple Biosphere Model (SIB) for Use within General Circulation Models , 1986 .

[61]  Chunlin Huang,et al.  Experiments of one-dimensional soil moisture assimilation system based on ensemble Kalman filter , 2008 .

[62]  Michael Ghil,et al.  Advanced data assimilation in strongly nonlinear dynamical systems , 1994 .

[63]  P. Houtekamer,et al.  A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation , 2001 .

[64]  Zhao Ren-jun,et al.  The Xinanjiang model applied in China , 1992 .

[65]  G. Boer,et al.  CMIP1 evaluation and intercomparison of coupled climate models , 2001 .

[66]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[67]  A. H. Murphy,et al.  General Decompositions of MSE-Based Skill Scores: Measures of Some Basic Aspects of Forecast Quality , 1996 .

[68]  Zhongbo Yu,et al.  On evaluating the spatial‐temporal variation of soil moisture in the Susquehanna River Basin , 2001 .

[69]  Thomas J. Jackson,et al.  Soil moisture mapping at regional scales using microwave radiometry: the Southern Great Plains Hydrology Experiment , 1999, IEEE Trans. Geosci. Remote. Sens..