PADM2M: A penalized maximum likelihood model of the 0-2 Ma palaeomagnetic axial dipole moment

Geophysical Journal International

Volumn 184, Issue 3, 2011, Pages 1069-1089

  Ziegler, L B ^a   Constable, C G ^a   Johnson, C L ^b   Tauxe, L ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Archaeomagnetism; Magnetic field; Palaeointensity; Palaeomagnetic secular variation

Indexed keywords

ARCHAEOMAGNETISM; CUBIC B -SPLINE; DATA SETS; DIPOLE FIELDS; GEODYNAMO; MODEL-BASED; ORBITAL FORCING; PALAEOINTENSITY; PENALIZED MAXIMUM LIKELIHOOD; PERIOD VARIABILITY; SECULAR VARIATION; SEDIMENTARY RECORDS; STANDARD DEVIATION; TIME-SCALES; TIME-VARYING MODELS; VARIABLE LENGTH;

DIPOLE MOMENT; ELECTRIC DIPOLE MOMENTS; IGNEOUS ROCKS; MAGNETIC FIELDS; POWER SPECTRUM; REPAIR; SPLINES;

MAXIMUM LIKELIHOOD;

DATA SET; ESTIMATION METHOD; GEODYNAMO; MAGNETIC FIELD; MAGNETIC INTENSITY; MAXIMUM LIKELIHOOD ANALYSIS; PALEOMAGNETISM; SECULAR VARIATION; STACKING;

EID: 79951573639     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04905.x     Document Type: Article

References (100)

1. Amit, H. & Olson, P., 2006. Time-average and time-dependent parts of core flow, Phys. Earth planet. Int., 155(1-2), 120-139.
2. Ben-Yosef, E., Tauxe, L., Levy, T.E., Shaar, R., Ron, H. & Najjar, M., 2009. Geomagnetic intensity spike recorded in high resolution slag deposit in Southern Jordan, Earth planet. Sci. Lett., 287(3-4), 529-539.
3. Biggin, A.J., Strik, G.H.M.A. & Langereis, C.G., 2009. The intensity of the geomagnetic field in the late-Archaean: new measurements and an analysis of the updated IAGA palaeointensity database, Earth Planets Space, 61(1), 9-22.
4. Bloxham, J. & Jackson, A., 1992. Time-dependent mapping of the magnetic-field at the core-mantle boundary, J. geophys. Res., 97(B13), 19537-19563.
5. Brachfeld, S. et al., 2003. Holocene history of the Larsen-A Ice Shelf constrained by geomagnetic paleointensity dating, Geology, 31(9), 749-752.
6. Cande, S. & Kent, D., 1995. Revised calibration of the geomagnetic polarity timescale for the late Cretaceous and Cenozoic, J. geophys. Res., 100(B4), 6093-6095.
7. Carcaillet, J.T., Thouveny, N. & Bourles, D.L., 2003. Geomagnetic moment instability between 0.6 and 1.3 Ma from cosmonuclide evidence, Geophys. Res. Lett., 30(15), 1792, doi:.
8. Channell, J., Stoner, J., Hodell, D. & Charles, C., 2000. Geomagnetic paleointensity for the last 100 kyr from the sub-antarctic South Atlantic: a tool for inter-hemispheric correlation, Earth planet. Sci. Lett., 175, 145-160.
9. Channell, J.E.T., 1999. Geomagnetic paleointensity and directional secular variation at Ocean Drilling Program (ODP) Site 984 (Bjorn Drift) since 500 ka: comparisons with ODP Site 983 (Gardar Drift), J. geophys. Res., 104(B10), 22937-22951.
10. Channell, J.E.T. & Kleiven, H.F., 2000. Geomagnetic palaeointensities and astrochronological ages for the Matuyama-Brunhes boundary and the boundaries of the Jaramillo Subchron: palaeomagnetic and oxygen isotope records from ODP Site 983, Phil. Trans. R. Soc. Lond., A., 358(1768), 1027-1047.
11. 18O at ODP Site 983 (Gardar Drift, North Atlantic) since 350 ka, Earth planet. Sci. Lett., 153, 103-118.
12. Channell, J.E.T., Hodell, D.A., McManus, J. & Lehman, B., 1998. Orbital modulation of the Earth's magnetic field intensity, Nature, 394(6692), 464-468.
13. Channell, J.E.T., Mazaud, A., Sullivan, P., Turner, S. & Raymo, M.E., 2002. Geomagnetic excursions and paleointensities in the Matuyama Chron at Ocean Drilling Program Sites 983 and 984 (Iceland Basin), J. geophys. Res., 107(B6), 2114, doi:.
14. Channell, J.E.T., Curtis, J.H. & Flower, B.P., 2004. The Matuyama-Brunhes boundary interval (500-900 ka) in North Atlantic drift sediments, Geophys. J. Int., 158(2), 489-505.
15. Channell, J.E.T., Xuan, C. & Hodell, D.A., 2009. Stacking paleointensity and oxygen isotope data for the last 1.5 Myr (PISO-1500), Earth planet. Sci. Lett., 283(1-4), 14-23.
16. Clement, B. & Kent, D., 1991. A southern-hemisphere record of the Matuyama-Brunhes polarity reversal, Geophy. Res. Lett., 18(1), 81-84.
17. Clement, B.M. & Kent, D.V., 1986. Short polarity intervals within the Matuyama: transitional field records from hydraulic piston cored sediments from the North Atlantic, Earth planet. Sci. Lett., 81, 253-264.
18. Constable, C., 1988. Parameter-estimation in non-gaussian noise, Geophys. J., 94(1), 131-142.
19. Constable, C. & Parker, R., 1988. Smoothing, splines, and smoothing splines-their application in geomagnetism, J. Comput. Phys., 78(2), 493-508.
20. Constable, C. & Parker, R., 1991. Deconvolution of long-core paleomagnetic measurements-spline therapy for the linear problem, Geophys. J. Int., 104(3), 453-468.
21. Constable, C. & Johnson, C., 2005. A paleomagnetic power spectrum, Phys. Earth planet. Int., 153(1-3, Special Issue SI), 61-73.
22. Constable, S.C., Parker, R.L. & Constable, C.G., 1987. Occam's Inversion: a practical inversion method for generating smooth models from EM sounding data, Geophysics, 52, 289-300, doi:.
23. Dinares-Turell, J., Sagnotti, L. & Roberts, A.P., 2002. Relative geomagnetic paleointensity from the Jaramillo Subchron to the Matuyama/Brunhes boundary as recorded in a Mediterranean piston core, Earth planet. Sci. Lett., 194(3-4), 327-341.
24. Donadini, F., Korte, M. & Constable, C.G., 2009. Geomagnetic field for 0-3 ka: 1. New data sets for global modeling, Geochem. Geophys. Geosyst., 10, Q06007, doi:.
25. Driscoll, P. & Olson, P., 2009. Polarity reversals in geodynamo models with core evolution, Earth planet. Sci. Lett., 282(1-4), 24-33.
26. Dumberry, M. & Finlay, C.C., 2007. Eastward and westward drift of the Earth's magnetic field for the last three millennia, Earth planet. Sci. Lett., 254(1-2), 146-157.
27. Guyodo, Y. & Valet, J.P., 2006. A comparison of relative paleointensity records of the Matuyama Chron for the period 0.75-1.25 Ma, Phys. Earth planet. Int., 156, 205-212.
28. Guyodo, Y., Richter, C. & Valet, J.P., 1999. Paleointensity record from Pleistocene sediments off the California Margin, J. Geophys., 104, 22953-22965.
29. Guyodo, Y., Acton, G.D., Brachfeld, S. & Channell, J.E.T., 2001. A sedimentary paleomagnetic record of the Matuyama chron from the Western Antarctic margin (ODP Site 1101), Earth planet. Sci. Lett., 191(1-2), 61-74.
30. Haag, M., 2000. Reliability of relative palaeointensities of a sediment core with climatically-triggered strong magnetisation changes, Earth planet. Sci. Lett., 180(1-2), 49-59.
31. Hartl, P. & Tauxe, L., 1996. A precursor to the Matuyama/Brunhes transition- field instability as recorded in pelagic sediments, Earth planet. Sci. Lett., 138, 121-135.
32. Hayashida, A., Verosub, K.L., Heider, F. & Leonhardt, R., 1999. Magnetostratigraphy and relative palaeointensity of late Neogene sediments at ODP Leg 167 Site 1010 off Baja California, Geophys. J. Int., 139(3), 829-840.
33. Horng, C.S., Roberts, A.P. & Liang, W.T., 2003. A 2.14-Myr astronomically tuned record of relative geomagnetic paleointensity from the western Philippine Sea, J. geophys. Res., 108(B1), 2059, doi:.
34. Jackson, A., Jonkers, A. & Walker, M., 2000. Four centuries of geomagnetic secular variation from historical records, Phil. Trans. R. Soc. Lond., 358, 957-990.
35. Johnson, C. & McFadden, P., 2007. Time-averaged field and paleosecular variation, in Geomagnetism, Vol. 5 of Treatise on Geophysics, pp. 417-453, eds Kono, M., and Schubert, G., Elsevier, Amsterdam.
36. Johnson, C.L. et al., 2008. Recent investigations of the 0-5 Ma geomagnetic field recorded by lava flows, Geochem. Geophys. Geosyst., 9, Q04032, doi:.
37. Kent, D.V. & Opdyke, N.D., 1977. Paleomagnetic field intensity variation recorded in a Brunhes epoch deep-sea sediment core, Nature, 266, 156-159.
38. Kent, D.V. & Schneider, D.A., 1995. Correlation of paleointensity variation records in the Brunhes/Matuyama polarity transition interval, Earth planet. Sci. Lett., 129, 135-144.
39. Kissel, C., Laj, C., Labeyrie, L., Dokken, T., Voelker, A. & Blamart, D., 1999. Rapid climatic variations during marine isotopic stage 3: magnetic analysis of sediments from Nordic Seas and North Atlantic, Earth planet. Sci. Lett., 171(3), 489-502.
40. Kok, Y.S. & Tauxe, L., 1999. A relative geomagnetic paleointensity stack from Ontong-Java Plateau sediments for the Matuyama, J. geophys. Res., 104(B11), 25401-25413.
41. Komunjer, I., 2007. Asymmetric power distribution: theory and applications to risk measurement, J. appl. Econometrics, 22(5), 891-921.
42. Korte, M. & Constable, C., 2005. The geomagnetic dipole moment over the last 7000 years-new results from a global model, Earth planet. Sci. Lett., 236(1-2), 348-358.
43. Korte, M., Donadini, F. & Constable, C.G., 2009. Geomagnetic field for 0-3 ka: 2. A new series of time-varying global models, Geochem. Geophys. Geosyst., 10, Q06008, doi:.
44. Laj, C., Kissel, C. & Lefevre, I., 1996. Relative geomagnetic field intensity and reversals from Upper Miocene sections in Crete, Earth planet. Sci. Lett., 141(1-4), 67-78.
45. Laj, C., Kissel, C., Mazaud, A., Channell, J. & Beer, J., 2000. North Atlantic palaeointensity stack since 75 ka (NAPIS-75) and the duration of the Laschamp event, Phil. Trans. R. Soc. Lond., 358, 1009-1025.
46. Lawrence, K.P., Tauxe, L., Staudigel, H., Constable, C.G., Koppers, A., McIntosh, W. & Johnson, C.L., 2009. Paleomagnetic field properties at high southern latitude, Geochem. Geophys. Geosyst., 10, Q01005, doi:.
47. Lehman, B., Laj, C., Kissel, C., Mazaud, A., Paterne, M. & Labeyrie, L., 1996. Relative changes of the geomagnetic field intensity during the last 280 kyr from piston cores in the Acores area, Phys. Earth planet. Inter., 93, 269-284.
48. Leonhardt, R., Heider, F. & Hayashida, A., 1999. Relative geomagnetic field intensity across the Jaramillo subchron in sediments from the California margin: ODP Leg 167, J. geophys. Res., 104, 29133-29146.
49. Lisiecki, L. & Lisiecki, P., 2002. Application of dynamic programming to the correlation of paleoclimate records, Paleoceanography, 17(4), 1049, doi:.
50. Love, J. & Constable, C., 2003. Gaussian statistics for palaeomagnetic vectors, Geophys. J. Int., 152(3), 515-565.
51. Maus, S. et al., 2005. The 10th generation international geomagnetic reference field, Phys. Earth planet. Int., 151, 320-322.
52. McFadden, P. & McElhinny, M., 1982. Variations in the geomagnetic dipole-2: statistical analysis of VDMs for the past 5 million years, J. Geomagn. Geoelectr., 34(3), 163-189.
53. McFadden, P. & Merrill, R., 1997. Sawtooth paleointensity and reversals of the geomagnetic field, Phys. Earth planet. Int., 103(3-4), 247-252.
54. McMillan, D., Constable, C. & Parker, R., 2002. Limitations on stratigraphic analyses due to incomplete age control and their relevance to sedimentary paleomagnetism, Earth planet. Sci. Lett., 201(3-4), 509-523.
55. Meynadier, L., Valet, J.P., Weeks, R., Shackleton, N.J. & Hagee, V.L., 1992. Relative geomagnetic intensity of the field during the last 140 ka, Earth planet. Sci. Lett., 114, 39-57.
56. Meynadier, L., Valet, J.P., Bassinot, F., Shackleton, N.J. & Guyodo, Y., 1994. Asymmetrical saw-tooth pattern of the geomagnetic field intensity from equatorial sediments in the Pacific and Indian Oceans, Earth planet. Sci. Lett., 126, 109-127.
57. Nowaczyk, N.R. & Frederichs, T.W., 1999. Geomagnetic events and relative palaeointensity variations during the past 300 ka as recorded in Kolbeinsey Ridge sediments, Iceland Sea: indication for a strongly variable geomagnetic field, Int. J. Earth Sci., 88(1), 116-131.
58. Oda, H., Nakamura, K., Ikehara, K., Nakano, T., Nishimura, M. & Khlystov, O., 2002. Paleomagnetic record from Academician Ridge, Lake Baikal: a reversal excursion at the base of marine oxygen isotope stage 6, Earth planet. Sci. Lett., 202(1), 117-132.
59. Okada, M., 1995. Detailed variation of geomagnetic field intensity during the late Pleistocene at Site 882, Proc. Ocean Drill. Program, Sci. Results, 145, 469-474.
60. Parker, R.L., 1994. Geophysical Inverse Theory, Princeton University Press, Princeton, NJ.
61. Peck, J., King, J., Colman, S. & Kravchinsky, V., 1996. An 84-kyr paleomagnetic record from the sediments of Lake Baikal, Siberia, J. geophys. Res., 101, 11365-11385.
62. Press, W.H., Teukolsky, S.A., Vetterling, W.T. & Flannery, B.P., 1986. Numerical Recipes in Fortran 77: The Art of Scientific Computing, Cambridge University Press, New York, NY.
63. Rice, J.A., 1995. Mathematical Statistics and Data Analysis, 2nd edn, Duxbury Press, Belmont, CA.
64. Roberts, A., Lehman, B., Weeks, R., Verosub, K. & Laj, C., 1997. Relative paleointensity of the geomagnetic field over the last 200, 000 years from ODP Sites 883 and 884, North Pacific Ocean, Earth planet. Sci. Lett., 152, 11-23.
65. Roberts, A.P. & Winklhofer, M., 2004. Why are geomagnetic excursions not always recorded in sediments? Constraints from post-depositional remanent magnetization lock-in modelling, Earth planet. Sci. Lett., 227(3-4), 345-359.
66. Rowan, C.J., Roberts, A.P. & Broadbent, T., 2009. Reductive diagenesis, magnetite dissolution, greigite growth and paleomagnetic smoothing in marine sediments: a new view, Earth planet. Sci. Lett., 277(1-2), 223-235.
67. Sato, T. & Kobayashi, K., 1989. Long-period secular variations of the Earth's magnetic field revealed by Pacific deep-sea sediment cores, J. Geomagn. Geoelectr., 41, 147-159.
68. Sato, T., Kikuchi, H., Nakashizuka, M. & Okada, M., 1998. Quaternary geomagnetic field intensity: constant periodicity or variable period?, Geophys. Res. Lett., 25, 2221-2224.
69. Schneider, D. & Mello, G., 1996. A high-resolution marine sedimentary record of geomagnetic intensity during the Brunhes chron, Earth planet. Sci. Lett., 144, 297-314.
70. Schneider, D.A., 1993. An estimate of Late Pleistocene geomagnetic intensity variation From Sulu Sea sediments, Earth planet. Sci. Lett., 120(3-4), 301-310.
71. Schneider, D.A., Kent, D.V. & Mello, G.A., 1992. A detailed chronology of the Australasian impact event, the Brunhes-Matuyama geomagnetic polarity reversal and global climate change, Earth planet. Sci. Lett., 111, 395-405.
72. Schwartz, M., Lund, S.P. & Johnson, T.C., 1996. Environmental factors as complicating influences in the recovery of quantitative geomagnetic-field paleointensity estimates from sediments, Geophys. Res. Lett., 23, 2693-2696.
73. Singer, B.S., Hoffman, K.A., Schnepp, E. & Guillou, H., 2008. Multiple Brunhes Chron excursions recorded in the West Eifel (Germany) volcanics: support for long-held mantle control over the non-axial dipole field, Phys. Earth planet. Int., 169(1-4, Special Issue SI), 28-40.
74. Stoner, J., Channell, J. & Hillaire-Marcel, C., 1998. A 200 ka geomagnetic chronostratigraphy for the Labrador Sea: indirect correlation of the sediment record to SPECMAP, Earth planet. Sci. Lett., 159(3-4), 165-181.
75. Stoner, J., Channell, J., Hillaire-Marcel, C. & Kissel, C., 2000. Geomagnetic paleointensity and environmental record from labrador sea core md95-2024: global marine sediment and ice core chronostratigraphy for the last 110 kyr, Earth planet. Sci. Lett., 5626, 1-17.
76. Stoner, J., Laj, C., Channell, J. & Kissel, C., 2002. South Atlantic and North Atlantic geomagnetic paleointensity stacks (0-80 ka): implications for inter-hemispheric correlation, Quat. Sci. Rev., 21(10), 1141-1151.
77. Stoner, J.S., Channell, J.E.T., Hodell, D.A. & Charles, C.D., 2003. A ∼580 kyr paleomagnetic record from the sub-Antarctic South Atlantic (Ocean Drilling Program Site 1089), J. geophys. Res., 108(B5), 2244, doi:.
78. Stott, L., Poulsen, C., Lund, S. & Thunell, R., 2002. Super ENSO and global climate oscillations at millennial time scales, Science, 297, 222-226.
79. Tauxe, L. & Shackleton, N.J., 1994. Relative paleointensity records from the Ontong-java Plateau, Geophys. J. Int., 117, 769-782.
80. Tauxe, L. & Wu, G., 1990. Normalized remanence in sediments of the Western Equatorial Pacific: relative paleointensity of the geomagnetic field?, J. geophys. Res., 95(B8), 12337-12350.
81. Tauxe, L. & Yamazaki, T., 2007. Paleointensities, in Geomagnetism, Vol. 5 of Treatise on Geophysics, pp. 509-563, eds Kono, M. and Schubert, G., Elsevier, Amsterdam.
82. Thellier, E. & Thellier, O., 1959. Sur l'intensité du champ magnétique terrestre dans le passé historique et géologique, Ann. Geophys., 15, 258-378.
83. Thouveny, N. et al., 1994. Climate variations in Europe over the past 140-kyr deduced from rock magnetism, Nature, 371(6497), 503-506.
84. 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, Pt 1, Earth planet. Sci. Lett., 219(3-4), 377-396.
85. Tric, E., Valet, J.P., Tucholka, P., Paterne, M., LaBeyrie, L., Guichard, F., Tauxe, L. & Fontugne, M., 1992. Paleointensity of the geomagnetic field during the last 80 000 years, J. geophys. Res., 97, 9337-9351.
86. Valet, J., 2003. Time variations in geomagnetic intensity, Rev. Geophys., 41(1), 1004, doi:.
87. Valet, J. & Meynadier, L., 1993. Geomagnetic-field intensity and reversals during the past 4 million years, Nature, 366(6452), 234-238.
88. Valet, J., Meynadier, L. & Guyodo, Y., 2005. Geomagnetic dipole strength and reversal rate over the past two million years, Nature, 435(7043), 802-805.
89. Valet, J.P., Meynadier, L., Bassinot, F.C. & Garnier, F., 1994. Relative paleointensity across the last geomagnetic reversal from sediments of the Atlantic, Indian and Pacific Oceans, Geophys. Res. Lett., 21, 485-488.
90. Valet, J.P., Tauxe, L. & Clement, B.M., 1989. Equatorial and mid-latitude records of the last geomagnetic reversal from the Atlantic Ocean, Earth planet. Sci. Lett., 94, 371-384.
91. Wardinski, I. & Korte, M., 2008. The evolution of the core-surface flow over the last seven thousands years, J. geophys. Res., 113(B5), doi.
92. Weeks, R.J., Laj, C., Endignoux, L., Mazaud, A., Labeyrie, L., Roberts, A.P., Kissel, C. & Blanchard, E., 1995. Normalised natural remanent magnetisation intensity during the last 240 000 years in piston cores from the central North Atlantic Ocean: geomagnetic field intensity or environmental signal?, Phys. Earth planet. Inter., 87, 213-229.
93. Williams, T., Thouveny, N. & Creer, K.M., 1998. A normalised intensity record from Lac du Bouchet: geomagnetic palaeointensity for the last 300 kyr?, Earth planet. Sci. Lett., 156(1-2), 33-46.
94. Wilson, R., 1970. Permanent aspects of the Earth's non-dipole magnetic field over upper Tertiary times, Geophys. J. R. astr. Soc., 19(4), 417-439.
95. Yamazaki, T., 1999. Relative paleointensity of the geomagnetic field during Brunhes Chron recorded in North Pacific deep-sea sediment cores: orbital influence?, Earth planet. Sci. Lett., 169(1-2), 23-35.
96. Yamazaki, T. & Ioka, N., 1994. Long-term secular variation of the geomagnetic field during the last 200 kyr recorded in sediment cores from the western equatorial Pacific, Earth planet. Sci. Lett., 128, 527-544.
97. Yamazaki, T., Ioka, N. & Eguchi, N., 1995. Relative paleointensity of the geomagnetic field during the Brunhes Chron, Earth planet. Sci. Lett., 136, 525-540.
98. Yamazaki, T. & Kanamatsu, T., 2007. A relative paleointensity record of the geomagnetic field since 1.6 Ma from the North Pacific, Earth Planets Space, 59(7), 785-794.
99. Yamazaki, T. & Oda, H., 2005. A geomagnetic paleointensity stack between 0.8 and 3.0 Ma from equatorial Pacific sediment cores, Geochem. Geophys. Geosyst., 6, Q11H20, doi:.
100. Ziegler, L.B., Constable, C.G. & Johnson, C.L., 2008. Testing the robustness and limitations of 0-1 Ma absolute paleointensity data, Phys. Earth planet. Int., 170(1-2), 34-45.