Statistical analysis of geodetic deformation (strain rate) derived from the space geodetic measurements of BIFROST Project in Fennoscandia

Journal of Geodynamics

Volumn 43, Issue 2, 2007, Pages 214-238

  Cai, Jianqing ^a   Grafarend, Erik W ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Crustal deformation; Deformation analysis; Eigenspace components; Finite element methods; Geodynamics; Multivariate Gauss Markov model; Postglacial isostatic rebound; Random tensor; Satellite geodesy; Strain rate tensor; Velocity

Indexed keywords

CRUSTAL DEFORMATION; DEFORMATION; EIGENVALUE; FINITE ELEMENT METHOD; GEODESY; MOMENT TENSOR; PLATE MOTION; SATELLITE DATA; STATISTICAL ANALYSIS; STRAIN ANALYSIS; STRAIN RATE;

EURASIA; FENNOSCANDIA;

EID: 33846694835     PISSN: 02643707     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jog.2006.09.010     Document Type: Article

References (59)

1. Altiner Y. Analytical Surface Deformation Theory for Detection of the Earth's Crust Movement (1999), Springer Berlin, Heidelberg
2. Angelier J., Tarantola A., Vallete B., and Manoussis S. Inversion of field data in fault tectonics to obtain the regional stress-I. Single phase fault populations: a new method of computing the stress tensor. Geophys. J. R. Astron. Soc. 69 (1982) 607-621
3. Boucher C., and Altamimi Z. Development of a conventional terrestrial reference frame. In: Smith D.E., and Turcotte D.L. (Eds). Contributions of Space Geodesy to Geodynamics: Earth Dynamics (1993), AGU 89-98
4. Boucher, C., Altamimi, Z., 2001. Memo: specifications for reference frame fixing in the analysis of a EUREF GPS campaign (Version 5). http://lareg.ensg.ign.fr/EUREF/memo.pdf.
5. Brunner F.K. On the analysis of geodetic networks for the determination of the incremental strain tensor. Survey Review XXV 192 (1979) 56-67
6. Cai, J., 2004. Statistical inference of the eigenspace components of a symmetric random deformation tensor. Dissertation. German Geodetic Commission (DGK) Series C, No. 577, München, 138 pp.
7. Cai, J., Grafarend E., Schaffrin B., 2001. The Σ-BLUUE of eigenspace components of a symmetric random tensor of second order, simulated case study: 2-dimensional strain, Geodetic Week, Köln, 18-21 September.
8. Cai J., Grafarend E., and Schaffrin B. Statistical inference of the eigenspace components of a two-dimensional, symmetric rank-two random tensor. J. Geodesy 78 7-8 (2005) 425-436
9. Cai, J., Grafarend, E.W., 2006. Statistical analysis of the eigenspace components of the two-dimensional, symmetric rank-two strain rate tensor derived from the space geodetic measurements (ITRF92-ITRF2000 data sets) in central Mediterranean and Western Europe. Geophys. J. Int., in print.
10. Dermanis A., and Liveratos E. Application of deformation analysis in Geodesy and geodynamics. Rev. Geophys. Space Phys. 21 1 (1983) 41-50
11. Dermanis A., and Grafarend E.W. The finite element approach to the geodetic computation of two-and threedimensional deformation parameters: a study of frame invariance and parameter estimability. Proceeding of the International Conference on Cartography-Geodesy. Maracaibo, 1992 (1993) 66-85
12. Dermanis, A., 2001. Private Communication, July 2001.
13. Devoti R., Ferraro C., Lanotte R., Luceri V., Nardi A., Pacione R., Rutigliano P., Sciarretta C., Gueguen E., Bianco G., and Vespe F. Geophysical interpretations of geodetic deformations in the central Mediterranean area. In: Stein S., and Freymuller J.T. (Eds). Plate Boundary Zones. Geodynamics Series vol. 30 (2002), AGU, Washington, DC 57-66
14. Ekman, M., 1992. Postglacial rebound and sea level phenomena, with special reference to Fennoscandia and the Baltic Sea. in: J., Kakkuri, (ed.), Lecture Note for NKG-Autumn School "Geodesy and Geophysics", 7-70.
15. Feigl K., King R., and Jordan T. Geodetic measurement of tectonic deformation in the Santa Maria fold and thrust belt, California. J. Geophys. Res. 95 (1990) 2679-2699
16. Flügge W. Tensor Analysis and Continuum Mechanics (1972), Springer-Verlag, Berlin/New York
17. Grafarend E. Strain-Stress Relations in Geodetic Network (1977), Publ. Geodetic Inst., Uppsala Univ. No. 16
18. Grafarend E. Three dimensional deformation analysis: global vector spherical harmonic and local element representation. Tectonophysics 130 (1986) 337-359
19. Grafarend E., and Schaffrin B. Ausgleichungsrechnung in Linear Modellen (1993), Wissenschaftsverlag, Mannheim
20. Grafarend E., and Voosoghi B. Intrinsic deformation analysis of the Earth's surface based on displacement fields derived from space geodetic measurements. Case studies: present-day deformation patterns of Europe and of the Mediterranean area (ITRF data sets). J. Geodesy 77 (2003) 303-326
21. Gregersen S. Crustal stress regime in Fennoscandia from focal mechanisms. J. Geophys. Res. 97 (1992) 11,821-11,827
22. Haas R., Scherneck H.-G., Johansson J.M., Bergstrand S., Milne G.A., Mitrovica J.X., and Arvidsson R. BIFROST Project: The Strain-Rate Field In Fennoscandia Abstract in EGS XXVI General Assembly. Nice, France (2001)
23. Haines A.J., and Holt W.E. A procedure for obtaining the complete horizontal motions within zones of distributed deformation from the inversion of strain rate data. J. Geophys. Res. 98 (1993) 12,057-12,082
24. Hotelling. The generalization of student's ratio. Ann. Math. Stat. 2 (1931) 360-378
25. IERS, 2003. http://www.iers.org/iers/.
26. Johansson J.M., Davis J.L., Scherneck H.-G., Milne G.A., Vermeer M., Mitrovica J.X., Bennett R.A., Elgered G., Elósegui P., Koivula H., Poutanen M., Rönnäng B.O., and Shapiro I.I. Continuous GPS measurements of postglacial adjustment in Fennoscandia, 1. Geodetic results. J. Geophys. Res. 107 B8 (2002) 10.1029/2001JB000400
27. Kagan Y.Y. Correlations of earthquake focal mechanisms. Geophys. J. Int. 110 (1992) 305-320
28. Kagan Y.Y., and Knopoff L. The first order statistical moment of the seismic moment tensor. Geophys. J. R. Astron. Soc. 81 (1985) 429-444
29. Kakkuri, J., 1992. The stress phenomenon in the fennoscandian Shield. in: J., Kakkuri, (ed.), Lecture Note for NKG-Autumn School "Geodesy and Geophysics", 71-86.
30. Lambeck K., Smither C., and Ekman M. Tests of glacial rebound models for Fennoscandiavia based on instrumented sea- and lake-level records. Geophys. J. Int. 135 (1998) 375-387
31. MathWorks, 2000. Mapping Toolbox Version 1.2, MATLAB V 6.5.
32. Marotta A.M., Mitrovica J.X., Sabadini R., and Milne G.A. Combined effects of tectonics and glacial isotatic adjustment on intraplate deformation in central and northern Europe: applications to geodetic baseline analyses. J. Geophys. Res. 109 (2004) 10.1029/2002JB002337
33. Means W.D. Stress and Strain: Basic Concepts of Continuum Mechanics for Geologists (1976), Springer-Verlag, New York/Heidlberg/Berlin
34. Milne G.M., Davis J.L., Mitrovica J.X., Scherneck H.-G., Johansson J.M., Vermeer M., and Koivula H. Space-geodetic constraints on glacial isostatic adjustment in Fennoscandia. Science 291 (2001)
35. Milne G.M., Mitrovica J.X., Scherneck H.-G., Davis J.L., Johansson J.M., Koivula H., and Vermeer M. Continuous GPS measurements of postglacial adjustment in Fennoscandia, 2. Modeling results. J. Geophys. Res. 109 B2412 (2004) 10.1029/2003JB002619
36. Mitrovica J.X., Davis J.L., and Shapiro I.I. A spectral formalism for computing three-dimensional deformations due to surface loads, 2. Present-day glacial isostatic adjustment. J. Geophys. Res. 99 (1994) 7075-7101
37. Mitrovica J.X., Milne G.M., and Davis J.L. Glacial isostatic adjustment on a rotating Earth. Geophys. J. Int. 147 (2001) 562-578
38. Mueller B., Zoback M.L., Fuchs K., Mastin L., Gregersen S., Pavoni N., Stephansson O., and Ljunggren C. Regional patterns of tectonic stress in Europe. J. Geophys. Res. 97 (1992) 11,783-11,803
39. Muirhead R.J. Aspects of Multivariate Statistical Theory (1982), Wiley, New York 1982
40. Peltier W.R. VLBI baseline variations for the ICE-4G model of post glacial rebound. Geophys. Res. Lett. 22 (1995) 465-469
41. Reinecker, J., Heidbach, O., Tingay, M., Connolly, P., Müller, B., 2004. The 2004 release of the World Stress Map (available online at: www.world-stress-map.org).
42. Rencher A. Multivariate Statistical Inference and Applications (1998), Wiley, New York 1998
43. Savage J.C., Gan W., and Svarc J.L. Strain accumulation and rotation in the Eastern California Shear Zone. JGR 106 (2001) 21995-22007
44. Scherneck H.-G., Johansson J.M., Vermeer M., Davis J.L., Milne G.A., and Mitrovica J.X. BIFROST Project: 3-D crustal deformation rates derived from GPS confirm postglacial rebound in Fennoscandia. Earth Planets Space 53 (2001) 703-708
45. Scherneck H.-G., Johansson J.M., Elgered G., Davis J.L., Jonsson B., Hedling G., Koivula H., Ollikainen M., Poutanen M., Vermeer M., Mitrovica J.X., and Milne G.A. BIFROST: observing the three-dimensional deformation of fennoscandia. In: Mitrovica J.X., and Vermeersen B.L.A. (Eds). Ice Sheets, Sea Level and the Dynamic Earth. AGU Geodynamics Series vol. 29 (2002), American Geophysical Union, Washington, DC 69-93
46. Scherneck H.-G., Johansson J.M., Haas R., Bergstrand S., Lidberg M., and Koivula H. BIFROST: Project: from geodetic positions to strain rates. In: Poutanen M., and Suurmäki H. (Eds). Proceedings of the 14th Genreal Meeting of the Nordic Geodetic Commission. Nordic Geodetic Commission, Kirkkonummi (2002) 62-65
47. Seeber G. Satellite Geodesy. second ed. (2003), de Gruyter, Berlin/New York
48. Soler T., and van Gelder B. On covariances of eigenvalues and eigenvectors of second rank symmetric tensors. Geophys. J. Int. 105 (1991) 537-546
49. Spakman W., and Nyst M. Inversion of relative motion data for estimates of the velocity gradient field and fault slip. Earth Planet. Sci. Lett. (EPSL) 203 (2002) 577-591
50. Stephansson O. Stress measurements and modelling of crustal rock mechanics in Fennoscandia. In: Gregersen S., and Basham P.W. (Eds). Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postalglacial Renound. NATO ASI Series (1989), Kluwer Academic Publishers, Dordrecht 213-229
51. Straub C. Recent Crustal Deformation and Strain Accumulation in the Marmara SeaRegion, N.W. Anatolia, Inferred from GPS Measurements (1996), Institut für Geodäsie und Photogrammetrie, Zürich
52. Straub C., and Kahle H.-G. GPS and geologic estimates of the tectonic activity in the Marmara Sea region, NW Anatolia. J. Geophys. Res. 102 (1997) 27587-27601
53. Terada T., and Miyabe N. Deformation of earth crust in Kiransai District and its relation to the orographic feature. Bull. Earth Res. Inst. 7 (1929) 223-241
54. Turcotte D.L., and Schubert G. Geodynamics. second ed. (2002), Cambridge University Press, Cambridge
55. Vanicek P., and Krakiwsky E. Geodesy-The Concepts. Second ed. (1986), Elsevier Science Publishers, Amsterdam
56. Wahr J.M., and Davis J.L. Geodetic constraints on glocial isostatic adjustment. In: Mitrovica J.X., and Vermeersen B.L.A. (Eds). Ice Sheets, Sea Level and the Dynamic Earth. AGU Geodynamics Series vol. 29 (2002), American Geophysical Union, Washington, DC 3-32
57. Wang, Z., 1998. Geoid and crustal structure in Fennoscandia. Academic Dissertation. Pub. Of the Finnish Geodetic Institute, No. 126.
58. Ward S.N. Constraints on the seismotectonics of the central Mediterranean from very long baseline interferometry. Geophys. J. Int. 117 (1994) 441-452
59. Wu P., Johnston P., and Lambeck K. Postglacial rebound and fault instability in Fennoscandia. Geophys. J. Int. 139 (1999) 657-670