GPS horizontal deformation model in the southern region of the Iberian Peninsula and northern Africa (SPINA)
DOI:
https://doi.org/10.21701/bolgeomin.128.1.008Keywords:
deformation, geodynamic, active tectonic, time series, wavelet analysisAbstract
Global Navigation Satellite System (GNSS), and in particular Global Positioning System (GPS) technology, provides a powerful tool for studying geodynamic processes. As a consequence of GPS studies, it is now possible to analyze the interaction between tectonic plates in order to evaluate and establish the characteristics of their boundaries.
In this study, our main interest is to focus on the time series analysis obtained from observations of GNSS-GPS satellites. Each GPS observation session provides topocentric geodetic coordinates (east, north, elevation) of the permanent stations that constitute the geodetic network established for this purpose.
This paper shows a detailed topocentric coordinate time-series study for sites belonging to what we call the SPINA network, which stands for south of the Iberian Peninsula, north of Africa region. The series under study are processed by techniques of relative positioning with respect to the IGS (International GNSS Service) reference station located in Villafranca. These times series have been analyzed using filter processes, harmonic adjustments, and wavelets. A surface velocity field is derived from the time series of daily solutions for each station, whose observations span 8 years or longer. This allows us to obtain a horizontal displacement model to show the regional geodynamic main characteristics.
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References
Abramovish, F., Bailey, T., and Sapatinas, T. 2000. Wavelet analysis and its stastistical applications. Journal of the Royal Statistical Society, 49 (1), 1-29. https://doi.org/10.1111/1467-9884.00216
Acevedo, L. 2009. Computación Paralela de la Transformada Wavelet, Aplicaciones de la transformada Wavelet al álgebra lineal numérica. Tesis doctoral. Departamento de Sistemas Informáticos, Universidad Politécnica de Valencia.
Antoniadis, A. 1997. Wavelets in statistics: a review. Journal of the Italian Statistical Society, 6 (2), 97-130. https://doi.org/10.1007/BF03178905
Blewitt, G., Lavallee, D., Clarke, P., and Nurutdinov, K. 2001. A New Global Mode of Earth Deformation: Seasonal Cycle Detected. Sciences, 294. https://doi.org/10.1126/science.1065328
Blewitt, G. and Lavallée, D., 2002. Effect of annual signals on geodetic velocity. Journal of geophysical research, 107(B7). https://doi.org/10.1029/2001JB000570
Bos, M. S., Fernandes, R.M.S., Williams, S.D.P., and Bastos, L. 2008. Fast error analysis of continuous GPS observations. Journal of Geodesy, 82, 157166. https://doi.org/10.1007/s00190-007-0165-x
Bos, M. S., Fernandes, R.M.S., Williams, S.D.P., and Bastos, L. 2013. Fast error analysis of continuous GNSS observations with missing data. Journal of Geodesy, 87 (4), 351-360. https://doi.org/10.1007/s00190-012-0605-0
Buforn, E., Bezzeghoud, M., Udías, A., and Pro, C. 2004. Seismic Sources on the Iberia-African Plate Boundary and their Tectonic Implications. Pure and Applied Geophysics, 161, 623-646. https://doi.org/10.1007/s00024-003-2466-1
Buforn, E., Udías, A., and Pro, C. 2016. Souce mechanism studies of earthquakes in the Ibero-Maghrebian region and their tectonic implications. Journal of Seismology. https://doi.org/10.1007/s10950-015-9551-7
Burrus, S., Gophinath, R., and Guo, H. 1998. Introduction to Wavelet and Wavelet Transforms. Prentice Hall, New Jersey.
Chalouan, A., Gilb, A.J., Galindo-Zaldívar, J., Ahmamou, M., Ruano, P., Lacy, M.C., Ruiz-Armenteros, A. M., Benmakhlouf, M., and Riguzzi, F. 2014. Active faulting in the frontal Rif Cordillera (Fes region, Morocco): Constraints from GPS data. Journal of Geodynamics, 77, 110-122. https://doi.org/10.1016/j.jog.2014.01.002
Chatfield, C. 1989. The Analysis of Time Series: an introduction. Chapman and Hall/CRC, Boca Raton.
Chattopadhyay, A. K, Mondal, S., and Chattopadhyay, T. 2013. Independent Component Analysis for the objective classification of globular clusters of the galaxy NGC 5128. Computational Statistics and Data Analysis, 57, 17-32. https://doi.org/10.1016/j.csda.2012.06.008
Cunha, T.A., Matias, L.M., Terrinha, P., Negredo, A.M., Rosas, F., Fernandes, R.M.S., and Pinheiro, L. M. 2012. Neotectonics of the SW Iberia margin, Gulf of Cadiz and Alboran Sea: a reassessment including recent structural, seismic and geodetic data. Geophysical Journal International, 188, 850-872. https://doi.org/10.1111/j.1365-246X.2011.05328.x
Dach, R., Hugentobler, U., and Walser, P. 2011. Bernese GPS Software Version 5.0. Astronomical Institute, University of Bern, Bern, Switzerland.
Dow, J.M., Neilan, R.E., and Rizos, C. 2009. The International GNSS Service in a changing landscape of Global Navigation Satellite Systems. Journal of Geodesys, 83:191-198. https://doi.org/10.1007/s00190-008-0300-3
Fernandes, R.M.S., 2004. Present-day kinematics at the Azores Gibraltar plate boundary as derived from GPS observations. DUP, Delft, The Netherlands, ISBN 90-407-2557-8.
Fernandes, R.M.S., Ambrosius, B.A.C., Noomen, R., Bastos, L., Wortel, M., Spakman, W., and Govers, R. 2003. The relative motion between Africa and Eurasia as derived from ITRF2000 and GPS data. Geophysical Research Letters, 30(16), 1828. https://doi.org/10.1029/2003GL017089
Fernandes, R.M.S., Miranda, J.M., Meijninger, B.M.L., Bos, M.S., Noomen, R., Bastos, L., Ambrosius, B.A.C., and Riva, R. E. M. 2007. Surface velocity field of the Ibero-Maghrebian segment of the Eurasia-Nubia plate boundary. Geophysical Journal International, 169, 315-324. https://doi.org/10.1111/j.1365-246X.2006.03252.x
Foster, G. 1996. Wavelet for period analysis of unevenly sampled time series. The Astronomical Journal, 112, 1709-1729. https://doi.org/10.1086/118137
Fuller, W.A. 1996. Introduction to Statistical Time Series, Second Edition. John Wiley & Sons, New York. https://doi.org/10.1002/9780470316917
Gárate, J., Martin-Davila, J., Khazaradze, G., Echeverria, A., Asensio, E., Gil, A.J., Lacy, M.C., Armenteros, J.A., Ruiz, A.M., Gallastegui, J., Alvarez-Lobato, F., Ayala, C., Rodríguez-Caderot, G., Galindo-Zaldívar, J., Rimi, A., and Harnafi, M. 2014. Topo-Iberia project: CGPS crustal velocity field in the Iberian Peninsula and Morocco. GPS Solutions, 19 (2), 287-295. https://doi.org/10.1007/s10291-014-0387-3
García, V.M., Acevedo, L., and Vidal, A. M. 2008. Variants of algebraic wavelet-based multigrid methods: Application to shifted linear systems. Applied Mathematics and Computation, 2021 (202), 287-299. https://doi.org/10.1016/j.amc.2008.02.015
Ghil, M., Allen, M.R., Dettinger, M.D., Ide, K., Kondrashov, D., Mann, M.E., Robertson, A.W., Saunders, A., Tian, Y., Varadi, F., and Yiou, P. 2002. Advanced spectral methods for climatic time series. Reviews of geophysics, 40, 1-41. https://doi.org/10.1029/2000RG000092
Gil, A. J., Lacy, M. C., Ruiz, A. M., Armenteros, J. A., Adán, R., Avilés, M., Riguzzi, F., and Devoti, R. 2012. Red GPS Topo-Iberia: Resultados Preliminares obtenidos en el Centro de Análisis de la UJA. 7ª Asamblea Hispano-Portuguesa de Geodesia y Geofísica, Donostia, San Sebastián.
González, P.J, Tiampo, K.F., Palano, M., Cannavó, F., and Fernández, J. 2012. The 2011 Lorca earthquake slip distribution controlled by groundwater crustal unloading. Nature Geoscience, 5, 821-825. https://doi.org/10.1038/ngeo1610
Granger, C.W.J. and Morris, M. J. 1976. Time Series Modeling and Interpretation. Journal of the Royal Statistical Society, 139 (A), 246-257. https://doi.org/10.2307/2345178
Gülal, E., Hediye, E., and Tiryakioglu, I. 2013. Research on the stability analysis of GNSS reference stations network by time series analysis. Digital Signal Processing, 23, 1945-1957. https://doi.org/10.1016/j.dsp.2013.06.014
Härdle, W., Kerkyacharian, G., Picard, D., and Tsybakov, A. 1998. Wavelets, Approximation, and Statistical Applications. Springer-Verlag, New York, 265 pp. https://doi.org/10.1007/978-1-4612-2222-4
Hamilton, J.D. 1994. Time Series Analysis. Princeton University Press, New Jersey.
Holland, S. 2006. Cluster Analysis. Department of Geology, University of Georgia, Athens, GA.
Hosking, J.R.M. 1981. Fractional Differencing. Biometrika, 68 (1), 165-176. https://doi.org/10.1093/biomet/68.1.165
Jawerth, B. and Sweldens, W. 1994. An overview of wavelet based multiresolution analysis. SIAM Review, 36 (3), 377-412. https://doi.org/10.1137/1036095
Kaufman, L. and Rousseeuw, P.J. 1990. Finding Groups in Data: An Introduction to Cluster Analysis. Wiley, New York. https://doi.org/10.1002/9780470316801
Khazaradze, G., Echeverría, A., and Asensio, E. 2014. Present-day crustal deformation field of the Iberian Peninsula estimated by GPS measurements. Física de la Tierra, 26, 25-46. https://doi.org/10.5209/rev_FITE.2014.v26.46970
Kierulf, H.P., Plag, H.P., Bingley, R.M., Teferle, N., Demir, C., Cingoz, A., Yildiz, H., Garate, J., Davila, J.M., Silva, C.G., Zdunek, R., Jaworski, L., Martinez-Benjamin, J.M., Orus, R., and Aragon, A. 2008. Comparison of GPS analysis strategies for high-accuracy vertical land motion. Physics and Chemistry of the Earth, 33, 194-204. https://doi.org/10.1016/j.pce.2006.11.003
Koulali, A., Ouazar, D., Tahayt, A., King, R.W., Vernant, P., Reilinger, R.E., McClusky, S., Mourabit, T., Davila, J.M., and Amraoui, N. 2011. New GPS constraints on active deformation along the Africa-Iberia plate boundary. Earth and Planetary Science Letters, 308, 211-217. https://doi.org/10.1016/j.epsl.2011.05.048
Kulkarni, M.N., Radhakrishnan, N., and Rai, D. 2006. Global positioning system in disaster monitoring of Koyna Dam, western Maharashtra. Survey Review, 37 (292), 490-497.
Kumar, K.V., Miyashita, K., and Jianxin, L. 2002. Secular crustal deformation in central Japan, based on the wavelet analysis of GPS time-series data. Earth Planets Space, 54, 133-139. https://doi.org/10.1186/BF03351713
Mallat, S. 1999. A wavelet Tour of Signal Processing. Elsevier. https://doi.org/10.1016/B978-012466606-1/50008-8
Mancilla, F.D.L., Stich, D., Berrocoso, M., Martín, R., Morales, J., Fernández-Ros, A., Páez, R., and Pérez-Peña, A. 2013. Delamination in the Betic Range: Deep structure, seismicity, and GPS motion. Geology, 41 (3), 307-310. https://doi.org/10.1130/G33733.1
Martin, M., Rousseeuw, P., Struyf, A., Hubert, M., and Hornik, K. 2002. Cluster Analysis Basics and extensions, R Package Version 1.14.2, http://CRAN.R-project.org.
Martínez, P. A. 2011. Modelos armónicos no linea-les para series temporales geodéticas. Tesis doctoral. Departamento de Matemática Aplicada. Escuela Politécnica Superior. Universidad de Alicante.
Misiti, M., Misiti, Y., Oppenheim, G., and Poggi, J. M. 2000. Wavelet Toolboox, User's Guide. Version 2. The Math Works, Inc.
Ostini, L. 2012. Analysis and Quality Assessment of GNSS-Derived Parameter Time Series. PhD thesis, Univesity of Bern.
Owen, A.B. 2001. Empirical Likelihood. Chapman & Hall. https://doi.org/10.1201/9781420036152
Palano, M., González, P.J., and Fernández, J. 2015. The Diffuse Plate boundary of Nubia and Iberia in the Western Mediterranean: Crustal deformation evidence for vis-cous coupling and fragmented lithosphere. Earth and Planetary Science Letters, 430, 439-447. https://doi.org/10.1016/j.epsl.2015.08.040
Pawtan, Y. 2001. In all Likelihood: Statistical Modelling and Inference Using Likelihood. Oxford Science Publications. https://doi.org/10.1093/oso/9780198507659.001.0001
Peña, D., Tiao, G.C., and Tsay, R.S. 2005. A Course in Time Series Analysis. Editorial John Wiley
Percival, D.B., and Walden, A. T. 2000. Wavelet methods for time series analysis. Cambridge Press: Cambridge. https://doi.org/10.1017/CBO9780511841040
Pérez-Peña, A., Martín-Davila, J., Gárate, J., Berrocoso, M., and Buforn, E. 2010. Velocity field and tectonic strain in Southern Spain and surrounding areas derived from GPS episodic measurements. Journal of Geodynamics, 49, 232-240. https://doi.org/10.1016/j.jog.2010.01.015
Ramírez, M. E. 2006. Crustal deformation models in volcanic areas by means of the wavelet theory. Application to Deception Island Volcano. PhD Thesis, University of Cádiz, Spain.
Ramírez, M.E., Jiménez, Y., González, M.J., Berrocoso, M., and Sánchez-Francisco, M. 2005. A new data analysis techni-que in the study of mutual event lightcurves. Astronomy & Astrophysics, 448, 1197-1206. https://doi.org/10.1051/0004-6361:20041438
Sanz de Galeano, C. 2008. The Cadiz-Alicante fault: an important discontinuity in the Betic Cordillera. Revista de la Sociedad Geológica de España, 21 (3-4): 49-58.
Shirzaeia, M., Bürgmann, R., Foster, J., Walter, T.R., and Brooks, B.A. 2013. Aseismic deformation across the Hilina fault system, Hawaii, revealed by wavelet analysis of InSAR and GPS time series. Earth and Planetary Science Letters, 376, 12-19. https://doi.org/10.1016/j.epsl.2013.06.011
Stich, D., Serpelloni, E., Mancilla, F. L., and Morales, J. 2006. Kinematics of the Iberia-Maghreb plate contact from seismic moment tensors and GPS observations. Tectonophysics, 426, 295-317. https://doi.org/10.1016/j.tecto.2006.08.004
Takahashi, H. 2011. Static strain and stress changes in Eastern Japan due to 2011 off the Pacific coast of Tohoku Earthquake, as derived from GPS data. Earth Planets and Space, 63 (7), 741-744. https://doi.org/10.5047/eps.2011.06.049
Teferle, F.N. 2003. Strategies for Long-Term Monitoring os tide gauges using GPS. PhD thesis, Univesity of Nottingham.
Teferle, F.N., Williams, S.D.P., Kierulf, H.P., Bingley, R.M., and Plag, H. P. 2008. A continuous GPS coordinates time series analysis strategy for high-accuracy vertical land movements. Physics and Chemistry of the Earth, 33, 205-216. https://doi.org/10.1016/j.pce.2006.11.002
Valdés, M., Cano, M.A., Pascual, M., and García-Cañada, L. 2012. Análisis de estaciones permanentes GNSS en la península ibérica, proyecto IBERRED. 7ª Asamblea Hispano-Portuguesa de Geodesia y Geofísica, Donostia, San Sebastián.
Wang, W., Zhao, B., Wang, Q., and Yang, S. 2012. Noise analysis of continuous GPS coordinate time series for CMONOC. Advances in Space Research, 49 (5), 943-956. https://doi.org/10.1016/j.asr.2011.11.032
Williams, S.D.P., 2003. The effect of coloured noise on the uncertainties of rates estimated from geodetic time series, Journal of Geodesy, 76, 483-494. https://doi.org/10.1007/s00190-002-0283-4
Williams, S.D.P., Bock, Y., Fang, P., Jamason, P., Nikolaidis, R.M., Prawirodirdjo, L., Miller, M., and Johnson, D.J. 2004. Error analysis of continuous GPS position time series, Journal of geophysical research, 109, B03412. https://doi.org/10.1029/2003JB002741
Williams, S. D. P. 2008. CATS: GPS coordinate time series analysis software. GPS Solutions, 12 (2), 147-153. https://doi.org/10.1007/s10291-007-0086-4
Zamorano, M. 2010. Análisis de señales mediante STFT y Wavelet. Aplicación a la defectología en rodamientos. PhD Tesis, University Carlos III, Madrid, Spain.
Zhang, J., Bock, Y., Johnson, H., Fang, P., Williams, S., Genrich, J., Wdowinski, S., and Behr, J. 1997. Southern California Permanent GPS Geodetic Array: Error analysis of daily position estimates and site velocities. Journal of Geophysical Research. 102 (B8), 18035-18055 https://doi.org/10.1029/97JB01380
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