Deriving confidence in paleointensity estimates

Geochemistry, Geophysics, Geosystems

Volumn 11, Issue 7, 2010, Pages

  Paterson, Greig A ^a,b   Heslop, David ^c   Muxworthy, Adrian R ^d  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c UNIVERSITY OF BREMEN   (Germany)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

error analysis; paleointensity

Indexed keywords

DATA REDUCTION; ERROR ANALYSIS; ESTIMATION; FINANCIAL DATA PROCESSING; GEOMAGNETISM; NORMAL DISTRIBUTION; STATISTICS;

ARITHMETIC MEAN; CONFIDENCE INTERVAL; CONFIDENCE LEVELS; CONSISTENCY CRITERIA; DATA SELECTION; DATA SETS; DIFFERENT SIZES; DISTRIBUTION THEORY; GEOMAGNETIC FIELDS; PALEOINTENSITY; PALEOINTENSITY DATA; REJECTION RATES; RELIABLE ESTIMATES; STANDARD DEVIATION; STANDARD ERRORS;

UNCERTAINTY ANALYSIS;

CONFIDENCE INTERVAL; ERROR ANALYSIS; GEOMAGNETIC FIELD; MAGNETIC INTENSITY; PALEOMAGNETISM;

EID: 77955194031     PISSN: 15252027     EISSN: 15252027     Source Type: Journal    
DOI: 10.1029/2010GC003071     Document Type: Article

References (30)

1. Aitchison, J., and J. A. C. Brown (1957), The Lognormal Distribution, Cambridge Univ. Press, Cambridge, U. K.
2. Anderson, T. W., and D. A. Darling (1952), Asymptotic theory of certain "goodness of fit" criteria based on stochastic processes, Ann. Math. Stat., 23, 193-212.
3. Biggin, A. J., H. N. Böhnel, and F. R. Zúñiga (2003), How many paleointensity determinations are required from a single lava flow to constitute a reliable average?, Geophys. Res. Lett., 30(11), 1575, doi:10.1029/2003GL017146.
4. Biggin, A. J., G. H. M. A. Strik, and C. G. Langereis (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, 9-22.
5. Calvo, M., M. Prévot, M. Perrin, and J. Riisager (2002), Investigating the reasons for the failure of palaeointensity experiments: A study on historical lava flows from Mt. Etna (Italy), Geophys. J. Int., 149, 44-63, doi:10.1046/j.1365-246X. 2002.01619.x.
6. Chauvin, A., P. Roperch, and S. Levi (2005), Reliability of geomagnetic paleointensity data: The effects of the NRM fraction and concave-up behavior on paleointensity determinations by the Thellier method, Phys. Earth Planet. Inter., 150, 265-286, doi:10.1016/j.pepi.2004.11.008. (Pubitemid 40621927)
7. Coe, R. S. (1967), Paleo-intensities of the Earth's magnetic field determined from Tertiary and Quaternary rocks, J. Geophys. Res., 72, 3247-3262, doi:10.1029/JZ072i012p03247.
8. Donadini, F., M. Kovacheva, M. Kostadinova, L. Casas, and L. J. Pesonen (2007), New archaeointensity results from Scandinavia and Bulgaria: Rock-magnetic studies inference and geophysical application, Phys. Earth Planet. Inter., 165, 229-247, doi:10.1016/j.pepi.2007.10.002. (Pubitemid 350177420)
9. Fabian, K. (2009), Thermochemical remanence acquisition in single-domain particle ensembles: A case for possible overestimation of the geomagnetic paleointensity, Geochem. Geophys. Geosyst., 10, Q06Z03, doi:10.1029/ 2009GC002420.
10. Hill, M. J., and J. Shaw (2000), Magnetic field intensity study of the 1960 Kilauea lava flow, Hawaii, using the microwave palaeointensity technique, Geophys. J. Int., 142, 487-504, doi:10.1046/j.1365-246x.2000.00164.x. (Pubitemid 30496536)
11. Manly, B. F. J. (2007), Randomization, Bootstrap and Monte Carlo Methods in Biology, 3rd ed., 455 pp., Chapman and Hall, Boca Raton, Fla.
12. Maus, S., et al. (2005), The 10th-Generation International Geomagnetic Reference Field, Geophys. J. Int., 161, 561-565, doi:10.1111/j.1365-246X.2005. 02641.x. (Pubitemid 40829866)
13. Michalk, D. M., A. R. Muxworthy, H. N. Böhnel, J. Maclennan, and N. R. Nowaczyk (2008), Evaluation of the multispecimen parallel differential pTRM method: A test on historical lavas from Iceland and Mexico, Geophys. J. Int., 173, 409-420, doi:10.1111/j.1365-246X.2008.03740.x.
14. Mochizuki, N., H. Tsunakawa, Y. Oishi, S. Wakai, K. Wakabayashi, and Y. Yamamoto (2004), Palaeointensity study of the Oshima 1986 lava in Japan: Implications for the reliability of the Thellier and LTD-DHT Shaw methods, Phys. Earth Planet. Inter., 146, 395-416, doi:10.1016/j. pepi.2004.02.007.
15. Paterson, G. A., A. R. Muxworthy, A. P. Roberts, and C. Mac Niocaill (2010), Assessment of the usefulness of lithic clasts from pyroclastic deposits for paleointensity determination, J. Geophys. Res., 115, B03104, doi:10.1029/2009JB006475.
16. Perrin, M. (1998), Paleointensity determination, magnetic domain structure, and selection criteria, J. Geophys. Res., 103, 30,591-30,600, doi:10.1029/98JB01466. (Pubitemid 128665345)
17. Pick, T., and L. Tauxe (1993), Geomagnetic palaeointensities during the Cretaceous normal superchron measured using submarine basaltic glass , Nature, 366, 238-242, doi:10.1038/366238a0. (Pubitemid 24421568)
18. Riisager, P., R. Waagstein, J. Riisager, and N. Abrahamsen (2002), Thellier palaeointensity experiments on Faroes flood basalts: Technical aspects and geomagnetic implications, Phys. Earth Planet. Inter., 131, 91-100, doi:10.1016/ S0031-9201(02)00031-36
19. Rolph, T. C. (1997), An investigation of the magnetic variation within two recent lava flows, Geophys. J. Int., 130, 125-136, doi:0.1111/j.1365-246X. 1997.tb00992.x.
20. Schenker, N. (1985), Qualms about bootstrap confidence intervals, J. Am. Stat. Assoc., 80, 360-361.
21. Shaw, J. (1974), A new method of determining the magnitude of the palaeomagnetic field: Application to five historic lavas and five archaeological samples, Geophys. J. R. Astron. Soc., 39, 133-141, doi:10.1111/j.1365-246X. 1974.tb05443.x.
22. Stephens, M. A. (1974), EDF statistics for goodness of fit and some comparisons, J. Am. Stat. Assoc., 69, 730-737.
23. Stephens, M. A. (1979), Tests of fit for the logistic distribution based on the empirical distribution function, Biometrika, 66, 591-595, doi:10.1093/biomet/66.3.591.
24. Stephens, M. A. (1986), Tests based on EDF statistics, in Goodness-of-Fit Techniques, edited by R. B. D'Agostino and M. A. Stephens, pp. 97-194, Marcel Dekker, New York.
25. Tanaka, H., and M. Kono (1991), Preliminary results and reliability of palaeointensity studies on historical and 14C dated Hawaiian lavas, J. Geomagn. Geoelectr., 43, 375-388.
26. Thellier, E., and O. Thellier (1959), Sur l'intensité du champ magnétique terrestre dans le passé historique et géologique, Ann. Geophys., 15, 285-376.
27. Tsunakawa, H., and J. Shaw (1994), The Shaw method of palaeointensity determinations and its application to recent volcanic rocks, Geophys. J. Int., 118, 781-787, doi:10.1111/ j.1365-246X.1994.tb03999.x.
28. Walton, D., J. Share, T. C. Rolph, and J. Shaw (1993), Microwave magnetisation, Geophys. Res. Lett., 20, 109-111, doi:10.1029/92GL02782.
29. Yamamoto, Y. (2006), Possible TCRM acquisition of the Kilauea 1960 lava, Hawaii: Failure of the Thellier paleointensity determination inferred from equilibrium temperature of the Fe-Ti oxide, Earth Planets Space, 58, 1033-1044.
30. Yamamoto, Y., H. Tsunakawa, and H. Shibuya (2003), Palaeointensity study of the Hawaiian 1960 lava: Implications for possible causes of erroneously high intensities, Geophys. J. Int., 153, 263-276, doi:10.1046/j.1365-246X.2003.01909. x. (Pubitemid 36435164)