Scaling characteristics of spatial patterns of soil moisture from distributed modelling

Abstract Characterizing the spatial dynamics of soil moisture fields is a key issue in hydrology, offering an avenue to improve our understanding of complex land surface–atmosphere interactions. In this paper, the statistical structure of soil moisture patterns is examined using modelled soil moisture obtained from the North American Land Data Assimilation System (NLDAS) at 0.125° resolution. The study focuses on the vertically averaged soil moisture in the top 10 cm and 100 cm layers. The two variables display a weak dependence for lower values of surface soil moisture, with the strength of the relationship increasing with the water content of the top layer. In both cases, the variance of the soil moisture follows a power law decay as a function of the averaging area. The superficial layer shows a lower degree of spatial organization and higher temporal variability, which is reflected in rapid changes in time of the slope of the scaling functions of the soil moisture variance. Conversely, the soil moisture in the top 100 cm has lower variability in time and larger spatial correlation. The scaling of these patterns was found to be controlled by the changes in the soil water content. Results have implications for the downscaling of soil moisture to prevent model bias.

[1]  B. Albrecht,et al.  Large eddy simulations of continental shallow cumulus convection , 2003 .

[2]  Mary S. Lear,et al.  Spatial distribution of soil moisture over 6 and 30 cm depth, Mahurangi river catchment, New Zealand , 2003 .

[3]  Lifeng Luo,et al.  An intercomparison of soil moisture fields in the North American Land Data Assimilation System (NLDAS) , 2003 .

[4]  M. Goodchild,et al.  Scale in Remote Sensing and GIS , 2023 .

[5]  J. D. Tarpley,et al.  The multi‐institution North American Land Data Assimilation System (NLDAS): Utilizing multiple GCIP products and partners in a continental distributed hydrological modeling system , 2004 .

[6]  J. D. Tarpley,et al.  Land surface model spin‐up behavior in the North American Land Data Assimilation System (NLDAS) , 2003 .

[7]  Jetse D. Kalma,et al.  One-dimensional soil moisture profile retrieval by assimilation of near-surface observations: a comparison of retrieval algorithms , 2001 .

[8]  I. Rodríguez‐Iturbe,et al.  Functional relationship to describe temporal statistics of soil moisture averaged over different depths , 2003 .

[9]  Salvatore Manfreda,et al.  Space‐time modeling of soil moisture: Stochastic rainfall forcing with heterogeneous vegetation , 2006 .

[10]  Gwangseob Kim,et al.  Space-time characterization of soil moisture from passive microwave remotely sensed imagery and ancillary data , 2002 .

[11]  Dongryeol Ryu,et al.  Characterization of footprint‐scale surface soil moisture variability using Gaussian and beta distribution functions during the Southern Great Plains 1997 (SGP97) hydrology experiment , 2005 .

[12]  K. Loague Soil water content at R-5. Part 1. Spatial and temporal variability , 1992 .

[13]  M. Mccabe,et al.  Evaluation of AMSR-E-Derived Soil Moisture Retrievals Using Ground-Based and PSR Airborne Data during SMEX02 , 2005 .

[14]  R. Grayson,et al.  Geostatistical characterisation of soil moisture patterns in the Tarrawarra catchment , 1998 .

[15]  Marco Mancini,et al.  Robust simulation of root zone soil moisture with assimilation of surface soil moisture data , 2001 .

[16]  D. Entekhabi,et al.  Land data assimilation and estimation of soil moisture using measurements from the Southern Great Plains 1997 Field Experiment , 2001 .

[17]  Yizong Cheng,et al.  Statistical characterization of remotely sensed soil moisture images , 1997 .

[18]  R. Grayson,et al.  Scaling of Soil Moisture: A Hydrologic Perspective , 2002 .

[19]  Eric F. Wood,et al.  A re-examination of modeled and measured soil moisture spatial variability and its implications for land surface modeling , 2001 .

[20]  Eric F. Wood,et al.  Hydrological modeling of continental-scale basins , 1997 .

[21]  John D. Albertson,et al.  Temporal dynamics of soil moisture variability: 1. Theoretical basis , 2003 .

[22]  J. D. Tarpley,et al.  Validation of the North American Land Data Assimilation System (NLDAS) retrospective forcing over the southern Great Plains : GEWEX Continental-Scale International Project, Part 3 (GCIP3) , 2003 .

[23]  Fabio Castelli,et al.  Mutual interaction of soil moisture state and atmospheric processes , 1996 .

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

[25]  I. Rodríguez‐Iturbe,et al.  A Spatial Model for Soil-Atmosphere Interaction: Model Construction and Linear Stability Analysis , 2000 .

[26]  W. Crow,et al.  The assimilation of remotely sensed soil brightness temperature imagery into a land surface model using Ensemble Kalman filtering: a case study based on ESTAR measurements during SGP97 , 2003 .

[27]  Eric F. Wood,et al.  Modeling ground heat flux in land surface parameterization schemes , 1999 .

[28]  Eric F. Wood,et al.  One-dimensional statistical dynamic representation of subgrid spatial variability of precipitation in the two-layer variable infiltration capacity model , 1996 .

[29]  D. Lettenmaier,et al.  A simple hydrologically based model of land surface water and energy fluxes for general circulation models , 1994 .

[30]  Dennis P. Lettenmaier,et al.  Hydrologic effects of frozen soils in the upper Mississippi River basin , 1999 .

[31]  Wade T. Crow,et al.  Impact of Soil Moisture Aggregation on Surface Energy Flux Prediction During SGP'97 , 2002 .

[32]  A. Rinaldo,et al.  On the spatial organization of soil moisture fields , 1995 .

[33]  Wade T. Crow,et al.  Potential for downscaling soil moisture maps derived from spaceborne imaging radar data , 2000 .

[34]  Dara Entekhabi,et al.  Nonlinear Dynamics of Soil Moisture at Climate Scales: 2. Chaotic Analysis , 1991 .

[35]  Wade T. Crow,et al.  The Value of Coarse-Scale Soil Moisture Observations for Regional Surface Energy Balance Modeling , 2002 .