Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization

© 2017 Elsevier Ltd Assimilation of terrestrial water storage (TWS) information from the Gravity Recovery And Climate Experiment (GRACE) satellite mission can provide significant improvements in hydrological modelling. However, the rather coarse spatial resolution of GRACE TWS and its spatially corr...

Full description

Bibliographic Details
Main Authors: Khaki, M., Schumacher, M., Forootan, E., Kuhn, Michael, Awange, Joseph, van Dijk, A.
Format: Journal Article
Published: Elsevier 2017
Online Access:http://hdl.handle.net/20.500.11937/58527
_version_ 1848760282556399616
author Khaki, M.
Schumacher, M.
Forootan, E.
Kuhn, Michael
Awange, Joseph
van Dijk, A.
author_facet Khaki, M.
Schumacher, M.
Forootan, E.
Kuhn, Michael
Awange, Joseph
van Dijk, A.
author_sort Khaki, M.
building Curtin Institutional Repository
collection Online Access
description © 2017 Elsevier Ltd Assimilation of terrestrial water storage (TWS) information from the Gravity Recovery And Climate Experiment (GRACE) satellite mission can provide significant improvements in hydrological modelling. However, the rather coarse spatial resolution of GRACE TWS and its spatially correlated errors pose considerable challenges for achieving realistic assimilation results. Consequently, successful data assimilation depends on rigorous modelling of the full error covariance matrix of the GRACE TWS estimates, as well as realistic error behavior for hydrological model simulations. In this study, we assess the application of local analysis (LA) to maximize the contribution of GRACE TWS in hydrological data assimilation. For this, we assimilate GRACE TWS into the World-Wide Water Resources Assessment system (W3RA) over the Australian continent while applying LA and accounting for existing spatial correlations using the full error covariance matrix. GRACE TWS data is applied with different spatial resolutions including 1° to 5° grids, as well as basin averages. The ensemble-based sequential filtering technique of the Square Root Analysis (SQRA) is applied to assimilate TWS data into W3RA. For each spatial scale, the performance of the data assimilation is assessed through comparison with independent in-situ ground water and soil moisture observations. Overall, the results demonstrate that LA is able to stabilize the inversion process (within the implementation of the SQRA filter) leading to less errors for all spatial scales considered with an average RMSE improvement of 54% (e.g., 52.23 mm down to 26.80 mm) for all the cases with respect to groundwater in-situ measurements. Validating the assimilated results with groundwater observations indicates that LA leads to 13% better (in terms of RMSE) assimilation results compared to the cases with Gaussian errors assumptions. This highlights the great potential of LA and the use of the full error covariance matrix of GRACE TWS estimates for improved data assimilation results.
first_indexed 2025-11-14T10:13:18Z
format Journal Article
id curtin-20.500.11937-58527
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:13:18Z
publishDate 2017
publisher Elsevier
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-585272017-11-24T05:47:21Z Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization Khaki, M. Schumacher, M. Forootan, E. Kuhn, Michael Awange, Joseph van Dijk, A. © 2017 Elsevier Ltd Assimilation of terrestrial water storage (TWS) information from the Gravity Recovery And Climate Experiment (GRACE) satellite mission can provide significant improvements in hydrological modelling. However, the rather coarse spatial resolution of GRACE TWS and its spatially correlated errors pose considerable challenges for achieving realistic assimilation results. Consequently, successful data assimilation depends on rigorous modelling of the full error covariance matrix of the GRACE TWS estimates, as well as realistic error behavior for hydrological model simulations. In this study, we assess the application of local analysis (LA) to maximize the contribution of GRACE TWS in hydrological data assimilation. For this, we assimilate GRACE TWS into the World-Wide Water Resources Assessment system (W3RA) over the Australian continent while applying LA and accounting for existing spatial correlations using the full error covariance matrix. GRACE TWS data is applied with different spatial resolutions including 1° to 5° grids, as well as basin averages. The ensemble-based sequential filtering technique of the Square Root Analysis (SQRA) is applied to assimilate TWS data into W3RA. For each spatial scale, the performance of the data assimilation is assessed through comparison with independent in-situ ground water and soil moisture observations. Overall, the results demonstrate that LA is able to stabilize the inversion process (within the implementation of the SQRA filter) leading to less errors for all spatial scales considered with an average RMSE improvement of 54% (e.g., 52.23 mm down to 26.80 mm) for all the cases with respect to groundwater in-situ measurements. Validating the assimilated results with groundwater observations indicates that LA leads to 13% better (in terms of RMSE) assimilation results compared to the cases with Gaussian errors assumptions. This highlights the great potential of LA and the use of the full error covariance matrix of GRACE TWS estimates for improved data assimilation results. 2017 Journal Article http://hdl.handle.net/20.500.11937/58527 10.1016/j.advwatres.2017.07.024 Elsevier restricted
spellingShingle Khaki, M.
Schumacher, M.
Forootan, E.
Kuhn, Michael
Awange, Joseph
van Dijk, A.
Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization
title Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization
title_full Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization
title_fullStr Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization
title_full_unstemmed Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization
title_short Accounting for spatial correlation errors in the assimilation of GRACE into hydrological models through localization
title_sort accounting for spatial correlation errors in the assimilation of grace into hydrological models through localization
url http://hdl.handle.net/20.500.11937/58527