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Letter

A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau

1
College of Surveying and Geo-informatics, Tongji University, Shanghai 200092, China
2
Institute of Geodesy and Geoinformation, University of Bonn, Nussallee 17, 53115, Bonn, Germany
*
Author to whom correspondence should be addressed.
Remote Sens. 2020, 12(12), 2045; https://doi.org/10.3390/rs12122045
Received: 5 June 2020 / Revised: 20 June 2020 / Accepted: 23 June 2020 / Published: 25 June 2020
Limited by the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) measurement principle and sensors, the spatial resolution of mass flux solutions is about 2–3° in mid-latitudes at monthly intervals. To retrieve a mass flux solution in the Tibetan Plateau (TP) with better visual spatial resolution, we combined truncated singular value decomposition (TSVD) and Tikhonov regularization to solve for a mascon modeling. The monthly mass flux parameters resolved at 1° are smoothed to about 2° by truncating the eigen-spectrum of the normal equation (i.e., using the TSVD approach), and then Tikhonov regularization is applied to the truncated normal equation. As a result, the terms beyond the native resolution of GRACE/GRACE-FO data are truncated, and the errors in higher degree and order components are dampened by Tikhonov regularization. In terms of root mean squared errors, the improvements are 27.2% and 12.7% for the combined method over TSVD and Tikhonov regularization, respectively. We confirm a decreasing secular trend with −5.6 ± 4.2 Gt/year for the entire TP and provide maps with 1° resolution from April 2002 to April 2019, generated with the combined TSVD and Tikhonov regularization method. View Full-Text
Keywords: GRACE; GRACE-FO; mascon; regularization; Tibetan Plateau GRACE; GRACE-FO; mascon; regularization; Tibetan Plateau
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MDPI and ACS Style

Chen, T.; Kusche, J.; Shen, Y.; Chen, Q. A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau. Remote Sens. 2020, 12, 2045. https://doi.org/10.3390/rs12122045

AMA Style

Chen T, Kusche J, Shen Y, Chen Q. A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau. Remote Sensing. 2020; 12(12):2045. https://doi.org/10.3390/rs12122045

Chicago/Turabian Style

Chen, Tianyi, Jürgen Kusche, Yunzhong Shen, and Qiujie Chen. 2020. "A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau" Remote Sensing 12, no. 12: 2045. https://doi.org/10.3390/rs12122045

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