Stochastic relaxation of nonlinear soil moisture ocean salinity (SMOS) soil moisture retrieval errors with maximal Lyapunov exponent optimization

Ju Hyoung Lee, Choon Ki Ahn

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Stochastic systems have received substantial attention in many disciplines ranging from various ensemble systems such as ensemble prediction system, or ensemble Kalman filter to stochastic retrievals reducing systematic errors in satellite-retrieved cloud, rainfall, or soil moisture data. However, there were few fundamental explanations of why and how the stochastic approach reduces systematic errors. We discuss how to non-locally optimize stochastic retrievals and to alleviate nonlinear error propagations of the deterministic Soil moisture ocean salinity (SMOS) soil moisture retrievals. By near-zero maximal Lyapunov exponents and rank probability skill score, the retrieval ensembles are optimized for bias correction in a computationally effective way. It is found that the diverse ensembles achieve better representativeness and structural stability than the ensembles from the majority. This stochastic property is important for effective bias correction. It is suggested that this stochastic approach independently resolves SMOS dry biases without relying on a local standard of root mean square errors from the field measurements or a relative comparison with reference data. Due to flexibility and non-determinism of surface heterogeneity this approach has a potential as a global frame.

Original languageEnglish
JournalNonlinear Dynamics
DOIs
Publication statusAccepted/In press - 2018 Jan 1

Fingerprint

Soil Moisture
Salinity
Soil moisture
Lyapunov Exponent
Ocean
Retrieval
Ensemble
Optimization
Systematic errors
Bias Correction
Systematic Error
Stochastic systems
Ensemble Kalman Filter
Kalman filters
Mean square error
Structural Stability
Error Propagation
Nondeterminism
Rain
Rainfall

Keywords

  • Dry bias correction
  • Max. Lyapunov exponents
  • Non-locality
  • SMOS soil moisture
  • Stochastic retrievals

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

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abstract = "Stochastic systems have received substantial attention in many disciplines ranging from various ensemble systems such as ensemble prediction system, or ensemble Kalman filter to stochastic retrievals reducing systematic errors in satellite-retrieved cloud, rainfall, or soil moisture data. However, there were few fundamental explanations of why and how the stochastic approach reduces systematic errors. We discuss how to non-locally optimize stochastic retrievals and to alleviate nonlinear error propagations of the deterministic Soil moisture ocean salinity (SMOS) soil moisture retrievals. By near-zero maximal Lyapunov exponents and rank probability skill score, the retrieval ensembles are optimized for bias correction in a computationally effective way. It is found that the diverse ensembles achieve better representativeness and structural stability than the ensembles from the majority. This stochastic property is important for effective bias correction. It is suggested that this stochastic approach independently resolves SMOS dry biases without relying on a local standard of root mean square errors from the field measurements or a relative comparison with reference data. Due to flexibility and non-determinism of surface heterogeneity this approach has a potential as a global frame.",
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N2 - Stochastic systems have received substantial attention in many disciplines ranging from various ensemble systems such as ensemble prediction system, or ensemble Kalman filter to stochastic retrievals reducing systematic errors in satellite-retrieved cloud, rainfall, or soil moisture data. However, there were few fundamental explanations of why and how the stochastic approach reduces systematic errors. We discuss how to non-locally optimize stochastic retrievals and to alleviate nonlinear error propagations of the deterministic Soil moisture ocean salinity (SMOS) soil moisture retrievals. By near-zero maximal Lyapunov exponents and rank probability skill score, the retrieval ensembles are optimized for bias correction in a computationally effective way. It is found that the diverse ensembles achieve better representativeness and structural stability than the ensembles from the majority. This stochastic property is important for effective bias correction. It is suggested that this stochastic approach independently resolves SMOS dry biases without relying on a local standard of root mean square errors from the field measurements or a relative comparison with reference data. Due to flexibility and non-determinism of surface heterogeneity this approach has a potential as a global frame.

AB - Stochastic systems have received substantial attention in many disciplines ranging from various ensemble systems such as ensemble prediction system, or ensemble Kalman filter to stochastic retrievals reducing systematic errors in satellite-retrieved cloud, rainfall, or soil moisture data. However, there were few fundamental explanations of why and how the stochastic approach reduces systematic errors. We discuss how to non-locally optimize stochastic retrievals and to alleviate nonlinear error propagations of the deterministic Soil moisture ocean salinity (SMOS) soil moisture retrievals. By near-zero maximal Lyapunov exponents and rank probability skill score, the retrieval ensembles are optimized for bias correction in a computationally effective way. It is found that the diverse ensembles achieve better representativeness and structural stability than the ensembles from the majority. This stochastic property is important for effective bias correction. It is suggested that this stochastic approach independently resolves SMOS dry biases without relying on a local standard of root mean square errors from the field measurements or a relative comparison with reference data. Due to flexibility and non-determinism of surface heterogeneity this approach has a potential as a global frame.

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