The Spherical Wavelet Model and Multiscale Analysis of Characteristics of GPS Velocity Fields in Mainland China

doi:10.11947/j.AGCS.2015.20140141

Acta Geodaetica et Cartographica Sinica ›› 2015, Vol. 44 ›› Issue (10): 1063-1070.doi: 10.11947/j.AGCS.2015.20140141

The Spherical Wavelet Model and Multiscale Analysis of Characteristics of GPS Velocity Fields in Mainland China

CHENG Pengfei¹, WEN Hanjiang², SUN Luoqing³, CHENG Yingyan², ZHANG Peng⁴, BEI Jinzhong², WANG Hua²

1. Quality Inspection and Test Center of National Surveying and Mapping Products, Beijing 100830, China;
2. Chinese Academy of Surveying and Mapping, Beijing 100830, China;
3. Shenzhen Geotechnical Investigation and Surveying Institute Co.Ltd., Shenzhen 518028, China;
4. National Geomatics Center of China, Beijing 100830, China

Received:2014-05-07 Revised:2015-07-22 Online:2015-10-20 Published:2015-10-23
Supported by:
The National Basic Research Program of China(973 Program)(No.2013CB733302),The National Natural Science Foundation of China (Nos.41274031,41374014,41404014),The National High-tech Research and Development Program of China (863 Program) (Nos.2013AA122501,2013AA122502)

Abstract

Abstract: The GPS measurements of the Crustal Movement Observation Network in China (CMONC) from 1999 to 2009 were processed, and the velocities of 1068 stations in east and north directions were derived. These velocities were used to establish velocity models in east and north directions within mainland China by using Difference of Gauss (DOG) spherical wavelet. The trend of GPS velocity fields are derived by regional Euler vector method, the residual velocity fields are then used for the spherical wavelet modeling. The scales of wavelets are selected according to distributions of GPS stations. The accuracy of the model is estimated according to the mean square deviation between observations and model, which is ±0.95 mm/a for east direction, and ±0.97 mm/a for north direction in the region with dense stations, while it is ±1.32 mm/a and ±1.30 mm/a respectively for east and north directions in the region with sparse stations. The spherical wavelet modeling of the velocity can also show characteristics at different scales.

Key words: GPS velocity fields, DOG spherical wavelet, multiscale estimation

CLC Number:

P223

CHENG Pengfei, WEN Hanjiang, SUN Luoqing, CHENG Yingyan, ZHANG Peng, BEI Jinzhong, WANG Hua. The Spherical Wavelet Model and Multiscale Analysis of Characteristics of GPS Velocity Fields in Mainland China[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(10): 1063-1070.

References

[1] CHENG Pengfei, WEN Hanjiang, CHENG Yingyan, et al. Parameters of the CGCS 2000 Ellipsoid and Comparisons with GRS80 and WGS-84[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(3): 189-194. (程鹏飞, 文汉江, 成英燕, 等. 2000国家大地坐标系椭球参数与GRS80和WGS-84的比较[J]. 测绘学报, 2009, 38(3): 189-194.)
[2] CHENG Pengfei, CHENG Yingyan, WEN Hanjiang, et al. The User Guide of China Geodetic Coordinate System 2000[M]. Beijing: Surveying and Mapping Press, 2008. (程鹏飞, 成英燕, 文汉江, 等. 2000国家大地坐标系实用宝典[M]. 北京: 测绘出版社, 2008.)
[3] CHENG Pengfei, CHENG Yingyan, BEI Jinzhong, et al. CGCS2000 Plate Motion Model[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(2): 159-167. (程鹏飞, 程英燕, 秘金钟, 等. CGCS2000板块模型构建[J]. 测绘学报, 2013, 42(2): 159-167.)
[4] LI Qiang, YOU Xinzhao, YANG Shaomin, et al. A Precise Velocity Field of Tectonic Deformation in China as Inferred from Intensive GPS Observations[J]. Science China: Earth Sciences, 2012, 55(5): 695-698. (李强, 游新兆, 杨少敏, 等. 中国大陆构造变形高精度大密度 GPS 监测——现今速度场[J]. 中国科学: 地球科学, 2012, 42(5): 629-632.)
[5] CHENG Pengfei, WANG Hua, CHENG Yingyan, et al. The Trend of the APRGP Velocity Field and Plates Movement Derived from GPS Data[J]. Science China Physics, Mechanics & Astronomy, 2010, 53(4): 767-772.
[6] NIU Zhijun, MA Zongjin, CHEN Xinlian, et al. Crustal Movement Observation Network of China[J]. Journal of Geodesy and Geodyanmics, 2002, 22(3): 88-93. (牛之俊, 马宗晋, 陈鑫连, 等. 中国地壳运动观测网络[J]. 大地测量与地球动力学, 2002, 22(3): 88-93.)
[7] WEI Ziqing, LIU Guangming, WU Fumei. China Geodetic Coordinate System 2000: Velocity Field in Mainland China[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(4): 403-410. (魏子卿, 刘光明, 吴富梅. 2000中国大地坐标系——中国大陆速度场[J]. 测绘学报, 2011, 40(4): 403-410.)
[8] YANG Yuanxi, ZENG Anmin, WU Fumei. Horizontal Crustal Movement in China Fitted by Adaptive Collocation with Embedded Euler Vector[J]. Science China: Earth Sciences, 2011, 54(12): 1822-1829. (杨元喜, 曾安敏, 吴富梅. 基于欧拉矢量的中国大陆地壳水平运动自适应拟合推估模型[J]. 中国科学: 地球科学, 2011, 41(8): 1116-1125.)
[9] LIU Jingnan, YAO Yibin, SHI Chuang. Method for Establishing the Speed Field Model of Crustal Movement in China[J]. Geomatics and Information Science of Wuhan University, 2002, 27(4): 331-336. (刘经南, 姚宜斌, 施闯. 中国地壳运动整体速度场模型的建立方法研究[J]. 武汉大学学报: 信息科学版, 2002, 27(4): 331-336.)
[10] JIANG Zhihao, ZHANG Peng, BEI Jinzhong, et al. The Model of Crustal Horizontal Movement Based on CGCS2000 Frame[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(6): 471-476. (蒋志浩, 张鹏, 秘金钟, 等. 基于CGCS2000的中国地壳水平运动速度场模型研究[J]. 测绘学报, 2009, 38(6): 471-476.)
[11] WU Fumei, LIU Guangming, WEI Ziqing. Velocity Field Model of CGCS2000 Based on Euler Vector of Local Area[J]. Geomatics and Information Science of Wuhan University, 2012, 37(4): 432-435. (吴富梅, 刘光明, 魏子卿. 利用局域欧拉矢量法建立CGCS2000速度场模型[J]. 武汉大学学报: 信息科学版, 2012, 37(4): 432-435.)
[12] CHAMBODUT A, PANET I, MANDEA M, et al. Wavelet Frames: An Alternative to Spherical Harmonic Representation of Potential Fields[J]. Geophysical Journal International, 2005, 163(3): 875-899.
[13] PANET I, KUROISHI Y, HOLSCHNEIDER M. Wavelet Modelling of the Gravity Field by Domain Decomposition Methods: An Example over Japan[J]. Geophysical Journal International, 2011, 184(1): 203-219.
[14] OH H S, KIM D. SpherWave: An R Package for Analyzing Scattered Spherical Data by Spherical Wavelets[J]. R News, 2007, 7(3): 2-7.
[15] TAPE C, MUSé P, SIMONS M, et al. Multiscale Estimation of GPS Velocity Fields[J]. Geophysical Journal International, 2009, 179(2): 945-971.
[16] BOGDANOVA I, VANDERGHEYNST P, ANTOINE J P, et al. Stereographic Wavelet Frames on the Sphere[J]. Applied and Computational Harmonic Analysis, 2005, 19(2): 223-252.
[17] HEISKANEN W A, MORITZ H. Physical Geology[M]. LU Fukang, HU Guoli, Trans. Beijing: Surveying and Mapping Press, 1979. (海斯卡涅, 莫里斯. 物理大地测量学[M]. 卢福康, 胡国理, 译. 北京: 测绘出版社, 1979.)
[18] ZHANG Shengmao, WU Jianping, ZHOU Kesong, et al. Spherical Triangle Subdivision and Analysis Based on Polyhedron[J]. Computer Engineering and Applications, 2008, 44(9): 16-19. (张胜茂, 吴健平, 周科松. 基于正多面体的球面三角剖分与分析[J]. 计算机工程与应用, 2008, 44(9): 16-19.)
[19] HANSEN P C. Rank-deficient and Discrete Ill-posed Problems[M]. Philadephia: SIAM, 1998.
[20] SHAO Jun. Linear Model Selection by Cross-validation[J]. Journal of the American Statistical Association,1993, 88(422): 486-494.
[21] SHAO Jun. An Asymptotic Theory for Linear Model Selection[J]. Statistica Sinica,1997, 7(2): 221-264.
[22] GOLUB G H, HEATH M, WAHBA G. Generalized Cross-validation as a Method for Choosing a Good Ridge Parameter[J]. Technometrics, 1979, 21(2): 215-223.
[23] WEISBERG S. Applied Linear Regression[M]. 5th ed. Hoboken: Wiley,2005.
[24] TARANTOLA A. Inverse Problem Theory and Methods for Model Parameter Estimation[M]. Philadephia: SIAM, 2005.

The Spherical Wavelet Model and Multiscale Analysis of Characteristics of GPS Velocity Fields in Mainland China

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