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A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model

In this study, the basic concept of height nonlinear velocity field modeling in the CORS station is described. The noise results in a large deviation between the observation and predicted height. An ARCH testing method for heteroscedasticity of CORS height residual square series was proposed and the...

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Autores principales: Zhang, Hengjing, Liu, Huanling, Cui, Dongdong, Zhang, Fang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9571033/
https://www.ncbi.nlm.nih.gov/pubmed/36236688
http://dx.doi.org/10.3390/s22197589
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author Zhang, Hengjing
Liu, Huanling
Cui, Dongdong
Zhang, Fang
author_facet Zhang, Hengjing
Liu, Huanling
Cui, Dongdong
Zhang, Fang
author_sort Zhang, Hengjing
collection PubMed
description In this study, the basic concept of height nonlinear velocity field modeling in the CORS station is described. The noise results in a large deviation between the observation and predicted height. An ARCH testing method for heteroscedasticity of CORS height residual square series was proposed and the non-stationary characteristic of CORS height residual square time series was proved. A CORS height nonlinear velocity field reconstruction method based on the GARCH model was proposed. First, a nonlinear LS periodic fitting model was established for CORS height series data. Then, a GARCH model was established for the fitted non-stationary residual series. Finally, the signal term, linear trend term, and GARCH model noise term of nonlinear LS modeling were combined to reconstruct the nonlinear velocity field of the CORS height. The RMSE of nonlinear LS cycle modeling for 25 CORS stations worldwide ranged from 5 to 10 mm. The differences between the velocity, approximate annual and semi-annual amplitudes, and SOPAC results were 0.73 mm/a, 0.94 mm, and 0.51 mm, respectively. Compared with the centimeter amplitude of the CORS station height, the accuracy of the nonlinear model established in this study met the requirements. The results of height nonlinear velocity field reconstruction at 25 CORS stations worldwide showed that the mean square error of prediction of the one-year height movement reached 9 mm, and the average prediction accuracy of the semi-annual was 7 mm. Compared with the calculation accuracy of the current global CORS elevation component of 3–5 mm, the prediction error in this study was about 3 mm. The expected goal was achieved regarding the accuracy of the CORS station height nonlinear velocity field model.
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spelling pubmed-95710332022-10-17 A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model Zhang, Hengjing Liu, Huanling Cui, Dongdong Zhang, Fang Sensors (Basel) Article In this study, the basic concept of height nonlinear velocity field modeling in the CORS station is described. The noise results in a large deviation between the observation and predicted height. An ARCH testing method for heteroscedasticity of CORS height residual square series was proposed and the non-stationary characteristic of CORS height residual square time series was proved. A CORS height nonlinear velocity field reconstruction method based on the GARCH model was proposed. First, a nonlinear LS periodic fitting model was established for CORS height series data. Then, a GARCH model was established for the fitted non-stationary residual series. Finally, the signal term, linear trend term, and GARCH model noise term of nonlinear LS modeling were combined to reconstruct the nonlinear velocity field of the CORS height. The RMSE of nonlinear LS cycle modeling for 25 CORS stations worldwide ranged from 5 to 10 mm. The differences between the velocity, approximate annual and semi-annual amplitudes, and SOPAC results were 0.73 mm/a, 0.94 mm, and 0.51 mm, respectively. Compared with the centimeter amplitude of the CORS station height, the accuracy of the nonlinear model established in this study met the requirements. The results of height nonlinear velocity field reconstruction at 25 CORS stations worldwide showed that the mean square error of prediction of the one-year height movement reached 9 mm, and the average prediction accuracy of the semi-annual was 7 mm. Compared with the calculation accuracy of the current global CORS elevation component of 3–5 mm, the prediction error in this study was about 3 mm. The expected goal was achieved regarding the accuracy of the CORS station height nonlinear velocity field model. MDPI 2022-10-06 /pmc/articles/PMC9571033/ /pubmed/36236688 http://dx.doi.org/10.3390/s22197589 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zhang, Hengjing
Liu, Huanling
Cui, Dongdong
Zhang, Fang
A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model
title A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model
title_full A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model
title_fullStr A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model
title_full_unstemmed A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model
title_short A Height Nonlinear Velocity Field Algorithm for CORS Station Based on GARCH Model
title_sort height nonlinear velocity field algorithm for cors station based on garch model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9571033/
https://www.ncbi.nlm.nih.gov/pubmed/36236688
http://dx.doi.org/10.3390/s22197589
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