Nonparametric Data Assimilation Scheme for Land Hydrological Applications

Data assimilation, which relies on explicit knowledge of dynamical models, is a well-known approach that addresses models' limitations due to various reasons, such as errors in input and forcing data sets. This approach, however, requires intensive computational efforts, especially for high-dim...

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Main Authors: Khaki, M., Hamilton, F., Forootan, E., Hoteit, I., Awange, Joseph, Kuhn, Michael
Format: Journal Article
Published: Wiley-Blackwell Publishing, Inc. 2018
Online Access:http://hdl.handle.net/20.500.11937/73423
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author Khaki, M.
Hamilton, F.
Forootan, E.
Hoteit, I.
Awange, Joseph
Kuhn, Michael
author_facet Khaki, M.
Hamilton, F.
Forootan, E.
Hoteit, I.
Awange, Joseph
Kuhn, Michael
author_sort Khaki, M.
building Curtin Institutional Repository
collection Online Access
description Data assimilation, which relies on explicit knowledge of dynamical models, is a well-known approach that addresses models' limitations due to various reasons, such as errors in input and forcing data sets. This approach, however, requires intensive computational efforts, especially for high-dimensional systems such as distributed hydrological models. Alternatively, data-driven methods offer comparable solutions when the physics underlying the models are unknown. For the first time in a hydrological context, a nonparametric framework is implemented here to improve model estimates using available observations. This method uses Takens delay coordinate method to reconstruct the dynamics of the system within a Kalman filtering framework, called the Kalman-Takens filter. A synthetic experiment is undertaken to fully investigate the capability of the proposed method by comparing its performance with that of a standard assimilation framework based on an adaptive unscented Kalman filter (AUKF). Furthermore, using terrestrial water storage (TWS) estimates obtained from the Gravity Recovery And Climate Experiment mission, both filters are applied to a real case scenario to update different water storages over Australia. In situ groundwater and soil moisture measurements within Australia are used to further evaluate the results. The Kalman-Takens filter successfully improves the estimated water storages at levels comparable to the AUKF results, with an average root-mean-square error reduction of 37.30% for groundwater and 12.11% for soil moisture estimates. Additionally, the Kalman-Takens filter, while reducing estimation complexities, requires a fraction of the computational time, that is, ~8 times faster compared to the AUKF approach.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:56:39Z
publishDate 2018
publisher Wiley-Blackwell Publishing, Inc.
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spelling curtin-20.500.11937-734232019-02-26T23:54:30Z Nonparametric Data Assimilation Scheme for Land Hydrological Applications Khaki, M. Hamilton, F. Forootan, E. Hoteit, I. Awange, Joseph Kuhn, Michael Data assimilation, which relies on explicit knowledge of dynamical models, is a well-known approach that addresses models' limitations due to various reasons, such as errors in input and forcing data sets. This approach, however, requires intensive computational efforts, especially for high-dimensional systems such as distributed hydrological models. Alternatively, data-driven methods offer comparable solutions when the physics underlying the models are unknown. For the first time in a hydrological context, a nonparametric framework is implemented here to improve model estimates using available observations. This method uses Takens delay coordinate method to reconstruct the dynamics of the system within a Kalman filtering framework, called the Kalman-Takens filter. A synthetic experiment is undertaken to fully investigate the capability of the proposed method by comparing its performance with that of a standard assimilation framework based on an adaptive unscented Kalman filter (AUKF). Furthermore, using terrestrial water storage (TWS) estimates obtained from the Gravity Recovery And Climate Experiment mission, both filters are applied to a real case scenario to update different water storages over Australia. In situ groundwater and soil moisture measurements within Australia are used to further evaluate the results. The Kalman-Takens filter successfully improves the estimated water storages at levels comparable to the AUKF results, with an average root-mean-square error reduction of 37.30% for groundwater and 12.11% for soil moisture estimates. Additionally, the Kalman-Takens filter, while reducing estimation complexities, requires a fraction of the computational time, that is, ~8 times faster compared to the AUKF approach. 2018 Journal Article http://hdl.handle.net/20.500.11937/73423 10.1029/2018WR022854 Wiley-Blackwell Publishing, Inc. fulltext
spellingShingle Khaki, M.
Hamilton, F.
Forootan, E.
Hoteit, I.
Awange, Joseph
Kuhn, Michael
Nonparametric Data Assimilation Scheme for Land Hydrological Applications
title Nonparametric Data Assimilation Scheme for Land Hydrological Applications
title_full Nonparametric Data Assimilation Scheme for Land Hydrological Applications
title_fullStr Nonparametric Data Assimilation Scheme for Land Hydrological Applications
title_full_unstemmed Nonparametric Data Assimilation Scheme for Land Hydrological Applications
title_short Nonparametric Data Assimilation Scheme for Land Hydrological Applications
title_sort nonparametric data assimilation scheme for land hydrological applications
url http://hdl.handle.net/20.500.11937/73423