Extraction of non-continuous orbital frequencies from noisy insolation data and from palaeoproxy records of geomagnetic intensity using the phase of continuous wavelet transforms

Geophysical Journal International

Volumn 176, Issue 3, 2009, Pages 767-781

  Saracco, Ginette ^a   Thouveny, Nicolas ^a   Bourlès, Didier L ^a   Carcaillet, Julien T ^a,b  

^a CNRS   (France)

^b UNIVERSITÉ GRENOBLE ALPES   (France)

Author keywords

Earth rotation variations; Geomagnetic excursions; Palaeointensity; Time series analysis; Wavelet transform

Indexed keywords

ALGORITHM; GEODYNAMO; GEOMAGNETIC FIELD; MAGNETIC INTENSITY; ORBITAL FORCING; PALEOMAGNETISM; PROXY CLIMATE RECORD; TIME SERIES ANALYSIS; WAVELET ANALYSIS;

EID: 61349104433     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.04057.x     Document Type: Article

References (52)

1. Bassinot, F.C., Labeyrie, L.D., Vincent, E., Quidelleur, X., Shackleton, N.J. & Lancelot, Y., 1994. The astronomical theory of climate and the age of the Brunhes-Matuyama magnetic reversal, Earth planet. Sci. Lett., 126(1-3), 91-108.
2. Berger, A., 1977. Support for the astronomical theory of climate change, Nature, 268, 44-45.
3. Berger, A., 1988. Milankovitch theory and climate, Rev. Geophys., 26(4), 624-657.
4. Berger, A. & Loutre, M.F., 1991. Insolation values for the climate of the last 10 million years, Quatern. Sci. Rev., 10, 297-317.
5. Berger, A. & Loutre, M.F., 2004. Astronomical theory of paleoclimate, Comptes Rendus Geosc., 336(7-8), 701-709.
6. Berger, A., Loutre, M.F. & Melice J.L., 1998. Instability of the astronomical periods from 1.5 Myr BP to 0.5 Myr AP, Paleoclimates, 2(4), 239-280.
7. Berger, A., Melice, J.L. & Loutre, M.F., 2005. On the origin of the 100-kyr cycles in the astronomical forcing, Paleoceanography, 20(4), PA4019.
8. Carcaillet, J., Bourles, D.L. & Thouveny, N., 2003. Geomagnetic moment instability between 0.6 and 1.3 Ma from cosmonuclide evidence, Geophys. Res. Lett., 30(15), 1792.
9. 9Be record of geomagnetic moment variations over the last 300 ky from sedimentary cores of the Portuguese margin, Earth planet. Sci. Lett., 219(3-4), 397-412.
10. 9 Be for the last 1.3 Ma, Geochem. Geophys. Geosystem., 5, Q05006.
11. Carmona, R.A., Hwang, W.L. & Torresani, B., 1999. Multiridge detection and time-frequency reconstruction, IEEE Trans. Sig. Process., 47(2), 480-492.
12. Channell, J.E.T., Hodell, D., McManus, J. & Lehman, B., 1998. Orbital modulation of the Earth's magnetic field intensity, Nature, 394, 464-468.
13. Christensen, U.R. & Tilgner, A., 2004. Power requirement of the geodynamo from ohmic losses in numerical and laboratory dynamos, Nature, 429, 169-171.
14. Copson, E.T., 1967. Asymptotic Expansion, The University Press, Cambridge
15. Delprat, N., Escudie, B., Guillemain, P., Kronland-Martinet, R., Tchamitchian, P. & Torresani, B., 1991. Tech. Report, CPT-91, P. 2512, Luminy, Marseille, France.
16. Erdélyi, A., 1956. Asymptotic Expansions, Dover Publications, Inc., New York.
17. Fuller, M., 2006. Geomagnetic field intensity, excursions, reversals and the 41,000-yr obliquity signal, Earth planet. Sci. Lett., 245(3-4), 605-615.
18. Gabor, D., 1946. Theory of communication, J. Int. Elect. Eng. Lond., 93, 429-441.
19. Gee, J.S., Cande, S.C., Hildebrand, J.A., Donnelly, K. & Parker, R.L., 2000. Geomagnetic intensity variations over the past 780 kyr obtained from nea-seafloor anomalies, Nature, 408, 827-832.
20. Grossmann, A., Holschneider, M., Kronland-Martinet, R. & Morlet, J., 1987. Detection of abrupt changes in sound signals with the help of wavelet transforms, Adv. electron. electron phys., Suppl. 19, 289-306.
21. Guillemain, P., Kronland-Martinet, R. & Martens, B., 1991. Estimation of spectral lines with the help of the wavelet transform: application in the NMR spectroscopy, in Research Notes in Applied Mathematics: Wavelet and Applications, pp. 48-60, ed. Meyer, Y., Masson-Springer-Verlag, Paris.
22. Guillemain, P. & Kronland-Martinet, R., 1996. Characterization of acoustic signals through continuous linear time-frequency representations, Proc. IEEE, 84(4), 561-585.
23. Guyodo, Y., Gaillot, P. & Channell, J.E.T., 2000. Wavelet analysis of relative geomagnetic paleointensity at ODP Site 983, Earth planet. Sci. Lett., 184, 109-123.
24. Guyodo, Y. & Valet, J.P., 1999. Global changes in intensity of the Earth's magnetic field during the past 800 kyr, Nature, 399(6733), 249-252.
25. Heslop, D., 2007. A wavelet investigation of possible orbital influences on past geomagnetic field intensity, Geochem. Geophys. Geosys., 8(3), Q03003.
26. Kent, D.V., 1982. Apparent correlation of paleomagnetic intensity and climatic records in deep-sea sediments, Nature, 299, 538-539.
27. Kronland-Martinet, R., 1989. Analysis, synthesis, and processing of audio signals: Application of the wavelet transform, Doctorat d'Etat, UniversitéAix-Marseille II, Campus de Luminy, Marseille, France.
28. Laskar, J., Joutel, F. & Boudin F., 1993. Orbital, precession and insolation quantities for the Earth from -20 myr to +10 myr, Astron. Astrophys., 270, 522-533.
29. Malkus, W.V.R., 1968. Precession of the Earth's core as the cause of geomagnetism, Science, 160(3825), 259-264.
30. Melice, J.L., Coron, A. & Berger, A., 2001. Amplitude and frequency modulations of the Earth's obliquity for the last million years, J. Clim., 14(6), 1043-1054.
31. Moreau, F., Gibert, D. & Saracco, G., 1996. Filtering non stationary in geophysic data with orthogonal wavelets, Geophys. Res. Lett., 23(4), 407-410.
32. Papoulis, A., 1984. Probability, random variables and stochastic processes, McGraw-Hill, New York.
33. Poincaré, H., 1910. Sur la précession des corps déformables, Bull. Astron., 27, 321-356.
34. Saracco, G., 1989. Acoustic propagation through an inhomogenous medium in the case of hamonic and transient regime: Asymtotic methods and wavelet transform, Thèse de Doctorat, Luminy, Universitéde la Méditerrannée, Marseille, France, available at http://tel.archives-ouvertes.fr/tel-00178676/fr/.
35. Saracco, G., 1994. Propagation of transient waves through a stratified fluid medium: Wavelet analysis of a nonasymptotic decomposition of the propagator, J. acoust. Soc. Am., 95(3), 1191-1205.
36. Saracco, G., Gazahnes, C., Sageloli, J. & Sessarego, J.P., 1990a. Time-scale analysis of acoustic scattering of elastic spherical shells from impulse sources, J. Acoust., 3, 381-392, available at https://hal.archives-ouvertes.fr/hal-00018902.
37. Saracco, G., Guillemain, P. & Kronland-Martinet, R., 1990b. Characterization of elastic shells by the use of the wavelet transform, IEEE Ultrasonics Symp., 2, 881-885, available at https://hal.archives-ouvertes.fr/hal-00177246.
38. Saracco, G., Sessarego, J.P., Sageloli, J., Guillemain, P. & Kronland-Martinet, R., 1991. Extraction of modulation laws of elastic shells by the use of the wavelet transform, in Research Notes in Applied Mathematics: Wavelet and Applications, pp. 61-68, ed. Meyer, Y., Masson-Springer-Verlag, Paris, available at https://hal.archives-ouvertes.fr/hal-00157768.
39. Saracco, G., Labazuy, P. & Moreau, F., 2004. Localization of self-potential sources in volcano-electric effect with complex continuous wavelet transform and electrical tomography methods for an active volcano, Geophys. Res. Lett., 31, L12610.1-5.
40. Saracco, G., Moreau, F., Mathe, P.E., Hermitte, D. & Michel, J.M., 2007. Multi-scale tomography of buried magnetic structures. Its use in the localization and characterization of archeological structures, Geophys. J. Int., 171(1), 87-103.
41. Thouveny, N., Carcaillet, J., Moreno, E., Leduc, G. & Nerini, D., 2004. Geomagnetic moment variation and paleomagnetic excursions since 400 kyr BP: A stacked record from sedimentary sequences of the Portuguese margin, Earth planet. Sci. Lett., 219(3-4), 377-396.
42. Thouveny, N., Bourles, D., Saracco G., Carcaillet, J. & Bassinot, F., 2008. Paleoclimatic context of geomagnetic dipole lows and excursions in the Brunhes, clue for an orbital influence on the geodynamo?, Earth planet. Sci. Lett., 275(3-4), 269-284.
43. Tilgner A., 2005. Precession driven dynamos, (ABS), 10th Scientific Assembly IAGA.
44. Valero, H.P. & Saracco, G., 2005. 3D Seismic endoscopy: Multi-scale analysis and dynamic azimuthal filtering of borehole waves, Geophys. J. Int., 161, 313-328.
45. Valet, J.P. & Meynadier, L., 1993. Geomagnetic-field intensity and reversals during the past 4 Million years, Nature, 366(6452), 234-238.
46. Valet, J.P., Meynadier, L. & Guyodo, Y., 2005. Geomagnetic dipole strength and reversal rate over the past two million years, Nature, 435(7043), 802-805.
47. Vanyo, J.P., 1991. A geodynamo powered by luni-solar precession, Geophys. Astrophys. Fluid Dyn., 59(1-4), 209-234.
48. Vanyo, J.P. & Dunn, J.R., 2001. Core precession flow, structure and energy, Geophys. J. Int., 142, 409-425.
49. Wu, C.C. & Roberts, P.H., 2008. A precessionally-driven dynamo in a plane layer, Geophys. Astrophys. Fluid Dyn., 102(1), 1-19.
50. Xuan, C. & Channell, J.E.T., 2008. Origin of orbital periods in the sedimentary relative paleointensity records, Phys. Earth Planet. Inter., 169(1-4), 140-151.
51. Yamazaki, T. & Oda, H., 2002. Orbital influence on Earth's magnetic field: 100,000-year periodicity in inclination, Science, 295, 2435-2438.
52. Yokoyama, Y. & Yamazaki, T., 2000. Geomagnetic paleointensity variation with a 100 kyr quasi-period, Earth planet. Sci. Lett., 181, 7-14.