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Horizontal crustal movement in China fitted by adaptive collocation with embedded Euler vector

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Abstract

The crustal movements of the Chinese mainland include an average regional movement trend of the mainland and complex local deformations. Thus, both trends in the crustal movement of the mainland and local distortions should be simultaneously taken into consideration in crustal movement estimations. A combined collocation model based on Euler vector (taken as trend parameters) and local distortions (taken as signals) is proposed in this paper. We assume that prior covariance matrices between signals and observations should be consistent with their uncertainties. Otherwise, the station movement estimates provided by the collocation will be distorted. Thus, an adaptive collocation estimator based on simplified Helmert variance components is applied. This means that the contributions of signals and observations to estimates of crustal movements are balanced and reasonable, and consistent covariance matrices of the signals and observations are achieved through the adjustment of the adaptive factor. The calculation of actual horizontal movements of the Chinese crust shows that the estimates of horizontal crustal movement velocities are made more accurate by the adaptive collocation model.

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References

  1. Wei Z. National geodetic coordinate system to next generation. Geomat Inf Sci Wuhan Univ, 2003, 28: 138–143

    Google Scholar 

  2. Chen J, Yang Y, Wang M, et al. Establishment of 2000 national geodetic control network of China and its technological progress. Acta Geod Cartogr Sin, 2007, 36: 1–8

    Google Scholar 

  3. Yang Y, Tang Y, Chen C, et al. Integrated adjustment of Chinese 2000’GPS control network. Survey Rev, 2009, 41: 226–237, 313

    Article  Google Scholar 

  4. Yang Y. Chinese geodetic coordinate system 2000. Chin Sci Bull, 2009, 54: 2714–2721

    Article  Google Scholar 

  5. Wang M, Zhang Z S, Xu M Y, et al. Data processing and accuracy analysis of national 2000 GPS geodetic control network. Chin J Geophys, 2005, 48: 817–823

    Google Scholar 

  6. Northrup C J, Royden L H, Burchfiel B C. Motion of the Pacific plate relative to Eurasia and its potential relation to Cenozoic extension along the eastern margin of Eurasia. Geology, 1995, 23: 719–722

    Article  Google Scholar 

  7. Royden L H, Burchfiel B C, King R W, et al. Surface deformation and lower crustal flow in eastern Tibet. Science, 1997, 276: 788–790

    Article  Google Scholar 

  8. Kahle H G, Cocard M, Peter Y, et al. GPS-derived strain rate field within the boundary zones of the Eurasian, African, and Arabian plates. J Geophys Res, 2000, 105: 23353–23370

    Article  Google Scholar 

  9. England P, Molnar P. Late Quaternary to decadal velocity fields in Asia. J Geophys Res, 2005, 110: B12401

    Article  Google Scholar 

  10. Li Y, Zhang J, Li Z, et al. Horizontal crustal movement in China’s mainland and its surrounding areas obtained from the combined GPS network. Acta Geod Cartogr Sin, 2003, 2: 301–306

    Google Scholar 

  11. Zhu W, Wang X, Fu Y, et al. Global plate motion from ITRF2000 and crustal deformation around China. Chin J Geophys, 2002, 45(Supp): 197–204

    Google Scholar 

  12. Wang M, Shen Z, Niu Z, et al. Present-day crustal movement of Chinese mainland and active block model. Sci China Ser D-Earth Sci, 2003, 33(Supp): 21–32

    Google Scholar 

  13. Jiang Z, Ma Z, Zhang X, et al. Horizontal strain field and tectonic deformation of China mainland revealed by preliminary GPS result. Chin J Geophys, 2003, 46: 353–358

    Google Scholar 

  14. Wang Q, Zhang P, Ma Z. GPS database and velocity field of contemporary tectonic deformation in continental China. Earth Sci Front, 2002, 9: 416–429

    Google Scholar 

  15. Zhang Q, Zhu W. The initial establishment of the tectonic block motion model of China from space geodetic data. Chin Sci Bull, 2000, 45: 967–974

    Google Scholar 

  16. Yao Y, Liu J, Shi C, et al. Construction and application of Chinese crustal motion background field based on ITRF97 Frame. Geom Inf Sci Wuhan Univ, 2002, 27: 363–366

    Google Scholar 

  17. Chai H, Cui Y, Ming F. The determination of Chinese mainland crustal movement model using least squares collocation. Acta Geod Cartogr Sin, 2009, 38: 61–65

    Google Scholar 

  18. Jiang Z, Zhang P, Bi J, et al. The model of crustal horizontal movement based on CGCS2000 frame. Acta Geod Cartogr Sin, 2009, 38}: 471–4

    Google Scholar 

  19. Liu J, Shi C, Xu C, et al. Present-day crustal movement speed field of China Continent Block using local repeated GPS network. Geom Inf Sci Wuhan Univ, 2001, 26: 189–195

    Google Scholar 

  20. Liu J N, Shi C, Yao Y B, et al. Hardy function interpolation and its applications to the establishment of crustal movement speed field. Geom Inf Sci Wuhan Univ, 2001, 2: 500–508

    Google Scholar 

  21. Liu J N, Yao Y B, Shi C. Method for establishing the speed field model of crustal movement in China. Geom Inf Sci Wuhan Univ, 2002, 27: 331–336

    Google Scholar 

  22. Jiang Z, Liu J. The method in establishing strain field and velocity field of crustal movement using least square collocation. Chin J Geophys, 2010, 53: 1109–1117

    Google Scholar 

  23. Argus D F, Gordon R G. No-Net-Rotation model of current plate velocities incorporating plate motion model NUVEL1. Geophys Res Lett, 1991, 18: 2039–2042

    Article  Google Scholar 

  24. Hollenstein C, Müller M D, Geiger A, et al. Crustal motion and deformation in Greece from a decade of GPS measurements, 1993–2003. Tectonophysics, 2008, 449: 17–40

    Article  Google Scholar 

  25. DeMets C, Gordon R G, Argus D F, et al. Current plate motion. J Geophys Int, 1990, 101: 425–478

    Article  Google Scholar 

  26. Eringen A C. Mechanics of Continua. New York: John Wiley & Sons, Inc, 1980. 15–19

    Google Scholar 

  27. Huang L R, Tao B Z, Zhao C K. The application of fitting method of multi-quadric functions in research on crustal vertical movement. Acta Geod Cartogr Sin, 1993, 22: 21–28

    Google Scholar 

  28. El-Filky G S, Kato T, Fujii Y. Distribution of the vertical crustal movement rates in the Tohoku district, Japan, predicted by least-squares collocation. J Geod, 1997, 71: 432–442

    Article  Google Scholar 

  29. El-Filky G S, Kato T. Continuous distribution of the horizontal strain in the Tohoku district, Japan, predicted by least-squares collocation. Geodynamics, 1999, 27: 213–236

    Article  Google Scholar 

  30. Egli R, Geiger A, Wiget A, et al. A modified least-squares collocation method for the determination of crustal deformation: First results in the Swiss Alps. Geophys J Int, 2007, 168: 1–12

    Article  Google Scholar 

  31. Wu Y, Jiang Z, Yang G. The application and method of GPS strain calculation in whole mode using least square collocation in sphere surface. Chin J Geophys, 2009, 52: 1707–1714

    Google Scholar 

  32. Tscherning C C. Collocation and least squares methods as a tool for handling gravity field dependent data obtained through space research techniques. In: Hieber S, Guyenne T D, eds. European Work shop, European Space Agency, Paris, 1978. 141–149

    Google Scholar 

  33. You R J, Hwang H W. Coordinate transformation between two geodetic datums of Taiwan by least squares collocation. J Surv Eng, 2006, 132: 64–70

    Article  Google Scholar 

  34. Featherstone W E, Sproule D M. Fitting AUSGeio98 to the Australian height datum using GPS-leveling and least squares collocation: Application of a cross-validation technique. Surv Rev, 2006, 38: 573–582

    Google Scholar 

  35. Zhang X, Jiang Z. Preliminary study of method of least squares collocation considering regional tectonic feathers. Earthquake Res Chin, 2001, 17: 403–407

    Google Scholar 

  36. Schaffrin B, Ywhuda B. Geodetic deformation analysis based on robust inverse theory. Manu Geod, 1994, 19: 31–44

    Google Scholar 

  37. Yang Y. Robustfying collocation. Manu Geod, 1992, 17: 21–28

    Google Scholar 

  38. Yang Y, Liu N. A new resolution of collocation by two minimization steps. Acta Geod Cartogr Sin, 2002, 31: 192–195

    Google Scholar 

  39. Koch K, Kusche J. Regularization of geopotential determination from satellite data by variance components. J Geod, 2002, 76: 259–268

    Article  Google Scholar 

  40. Shen Y, Liu D. An unbiased estimate of the variance of unit weight after regularization. Geom Inf Sci Wuhan Univ, 2002, 27: 604–606

    Google Scholar 

  41. Xu P, Shen Y, Fukuda Y, et al. Variance components estimation in linear inverse ill-posed models. J Geod, 2006, 80: 69–81

    Article  Google Scholar 

  42. Yang Y, Xu T. An adaptive Kalman Filter based on sage windowing weights and variance components. J Nav, 2003, 56: 231–240

    Article  Google Scholar 

  43. Yang Y, Zhang J, Zhang L. Collocation based on variance component estimation and its application in GIS error fitting. Acta Geod Cartogr Sin, 2008, 37: 152–157

    Google Scholar 

  44. Yang Y, He H, Xu T. Adaptively robust filtering for kinematic geodetic positioning. J Geod, 2001, 75: 109–116

    Article  Google Scholar 

  45. Yang Y, Zeng A. Adaptive filtering for deformation parameter estimation on consideration of geometrical measurements and geophysical models. Sci China Ser D-Earth Sci, 2009, 52: 1216–1222

    Article  Google Scholar 

  46. Yang Y, Zeng A, Zhang J. Adaptive collocation with application in height system transformation. J Geod, 2009, 83: 403–410

    Article  Google Scholar 

  47. Moritz H. Statistical foundations of collocation. Boll Geod Sci Aff, 1980, 2: 131–150

    Google Scholar 

  48. Yang Y, Gao W. An optimal adaptive Kalman filter. J Geod, 2006, 80: 177–183

    Article  Google Scholar 

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Authors and Affiliations

  1. Xi’an Research Institute of Surveying and Mapping, Xi’an, 710054, China

    YuanXi Yang, AnMin Zeng & FuMei Wu

  2. Zhengzhou Institute of Surveying and Mapping, Zhengzhou, 450052, China

    FuMei Wu

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  1. YuanXi Yang
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  2. AnMin Zeng
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  3. FuMei Wu
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Correspondence to FuMei Wu.

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Yang, Y., Zeng, A. & Wu, F. Horizontal crustal movement in China fitted by adaptive collocation with embedded Euler vector. Sci. China Earth Sci. 54, 1822–1829 (2011). https://doi.org/10.1007/s11430-011-4286-y

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  • DOI: https://doi.org/10.1007/s11430-011-4286-y

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