Abstract
We have applied wavelet techniques to analyze GPS time-series data from REGID geodetic network, deployed at Deception Island Volcano (South Shetland Islands, Antarctica). In the present analysis wavelets are used to detect periodic components and to filter the data. The high frequency components can be associated to the orbital period of the satellites and to local tidal effects, whereas the medium frequencies seem to be related to the weather cycle. The wavelet filtering procedure is based on the SURE estimator, and a considerable reduction in noise is achieved, particularly in the Up component, whose deviation is reduced down to the deviation of the horizontal components before the denoising. An estimation of the displacements in the network for the period 2001/02 – 2005/06 is also included.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Mallat: A wavelet tour of signal processing. (Academic Press, London 1999) pp 1–637
J. Ibáñez, J. Almendros, G. Alguacil, J. Morales, E. Del Pezzo, R. Ortiz: Eventos sísmicos de largo período en Isla Decepción: evidencias de volcanismo activo. Bol. R. Soc. Esp. Hist. Nat. (Sec. Geol.) 93, 1–4:105–112 (1997)
M. Berrocoso: Modelos y formalismos para el tratamiento de observaciones GPS. Aplicación al establecimiento de redes geodésicas y geodinámicas en la Antártida. (Boletín ROA, Vol 1/97. Ed. Real Instituto y Observatorio de la Armada, San Fernando, Cádiz 1997)
J. Ibáñez, J. Almendros, E. Carmona, C. Martínez Arévalo, M. Abril: The recent seismo-volcanic activity at Deception Island volcano. Deep-Sea Res. II 50:1611–1629 (2003)
M. Berrocoso, M. E. Ramírez, A. Fernández-Ros: Horizontal Deformation Models for Deception Island (South Shetland Islands, Antarctica). In: Geodetic Deformation Monitoring: From Geophysical to Engineering Roles, IAG Vol. 131, ed by F. Sanso and A. Gil (Springer, Berlin Heidelberg New York 2006) pp 217–221
M. Berrocoso, A.Fernández-Ros, C. Torrecillas, J. M. Enríquez de Salamanca, M. E. Ramírez, A. Pérez-Peña, M. J. González, R. Páez, Y. Jiménez, A. García, M. Tárraga, F. García: Geodetic Research on Deception Island. In: Antarctica, Contributions to Global Earth Sciences ed by D.F. Fütterer, D-Damaske, G. Kleinschmidt, H. Miller and F. Tessensohn (Springer, Berlin Heidelberg New York 2006) pp 391–396
A. Fernández-Ros: Displacement models and crustal deformations from GPS observations. Application to Deception Volcano. PhD Thesis, University of Cádiz, Spain (2006)
A. Fernández-Ros, M. Berrocoso, M. E. Ramírez: Volcanic deformation models for Deception Island (South Shetland Islands, Antarctica). In: Antarctica: a keystone in a changing world. Proceedings for the 10th International Symposium on Antarctic Earth Sciences. Extended abstract 094 (U. S. Geological Survey and The National Academies, California 2007)
J. L. Smellie: Lithostratigraphy and volcanic evolution of Deception Island, South Shetland Islands. Antarc. Sci. 13 2:188–209 (2001)
J. Martí, J. Vila, J. Rey: Deception Island (Bransfield Strait, Antarctica): An example of volcanic caldera developed by extensional tectonic. J. Geolog. Soc. Lon. 32:253–265 (1994)
M. Martini, L. Giannini: Deception Islands (South Shetlands): an area of active Volcanism in Antarctica. Società Geologica Italiana 43:117–122 (1998)
A. García and DECVOL Working Group: A cross-disciplinary study at Deception Island (South shetland Islands, Antarctica). Evaluation of the recent volcanological status. (Internal Report 2002)
J. Ibáñez, E. del Pezzo, J. Almendros, M. La Rocca, G. Alguacil, R. Ortiz, A. García: Seismovolcanic signals at Deception Island Volcano, Antarctica: Wave field analysis and source modelling. J. Geophys. Res. 105:13905–13931 (2000)
G. Beutler, H. Bock, E. Brockmann and BERNESE Working Group: BERNESE Software Version 4.2. (Ed by U Hungentobler, S Schaer, P Fridez. Astronomical Institute, University of Bern, Bern 2001) pp 1–500
M. N. Bouin, C. Vigny: New constraints on Antarctic plate motion and deformation from GPS data. J. Geophys. Res. 105:28279–28293 (2000)
K. V. Kumar, L. J. Miyashita K: Secular crustal deformation in central Japan, based on the wavelet analysis of GPS time-series data. Earth Planets Space 54:133–129 (2002)
E. M. Souza, J. F. G. Monico: Wavelet Shrinkage: High frequency multipath reduction from GPS relative positioning. GPS Solut. 8:152–159 (2004)
C. Ogaja, J. Wang, C. Rizos: Detection of Wind-Induced Response by Wavelet Transformed GPS Solutions. J. Surv. Engrg. 129, 3:99–105 (2003)
C. Stein: Estimation of the mean of a multivariate normal distribution. Annals of Statistics 9:1135–1151 (1981)
A. P. Calderón: Intermediate spaces and interpolation. Stud. Math. 24:113–190 (1964)
D. Donoho, I. Johnstone: Ideal spatial adaptation via wavelet shrinkage. Biometrika 81:425–455 (1994)
D. Donoho, I. Johnsotone: Adapting to unknown smoothness via wavelet shrinkage. J. American Statist. Assoc. 90:1200–1224 (1995)
A. W. Marshall, I. Olkin: Inequalities: Theory of Majorization and its applications. (Academic Press, Boston 1979) pp 1–569
C. Bruyninx, M. Yseboodt: Frequency analysis of GPS coordinate time from the ROB EUREF Analysis Centre. Technical Report. (TWG/Status of the EUREF Permanent Network 2001)
A. Caporali: Average strain rate in the Italian crust inferred from a permanent GPS network- I. Statistical analysis of the time-series of permanent GPS stations. Geophys. J. Int. 155:241–253 (2003)
M. Poutanen, H. Koivula, M. Ollikainen: On the periodicity of GPS time series. In: Proceedings IAG 2001 Scientific Assembly (Budapest, Hungary 2001)
X. L. Ding, D. W. Zheng, Q. Chen, C. Huang, W. Chen: Analysis of seasonal and interannual variations in the position of permanent GPS tracking stations. In: Proceedings FIG XXII International Congress (Washington 2002)
D. Altadill: Quasi-periodic oscillations in the high ionosphere related to the planetary waves activity in the medium atmosphere. PhD. Thesis, Ramón Llull University, Barcelona (2001)
M. Vetterli, J. Kovacevic: Wavelets and Subband Coding. (Ed. Pearson Education, 1995) pp 1–448
Y. Bock, R. M. Nikolaidis, P. J. Jonge: Instantaneous geodetic positioning at medium distances with the Global Positioning System. J. Geophys. Res. 105, B12: 28223–28253 (2000)
M. E. Ramírez: Crustal deformation models in volcanic areas by means of the wavelet theory. Application to Deception Island Volcano. PhD Thesis, University of Cádiz, Spain (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ramírez, M.E., Berrocoso, M., González, M.J., Fernández, A. (2008). Crustal Deformation Models and Time-Frequency Analysis of GPS Data from Deception Island Volcano (South Shetland Islands, Antarctica). In: Donner, R.V., Barbosa, S.M. (eds) Nonlinear Time Series Analysis in the Geosciences. Lecture Notes in Earth Sciences, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78938-3_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-78938-3_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78937-6
Online ISBN: 978-3-540-78938-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)