A six-parameter statistical model of the Earth's magnetic field

Geophysical Journal International

Volumn 130, Issue 3, 1997, Pages 693-700

  Walker, Andrew D ^a   Backus, George E ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Earth's magnetic field; Geomagnetism; Statistical methods

Indexed keywords

GEOMAGNETIC FIELD; MAGSAT; STATISTICAL MODEL;

EID: 0031446611     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1997.tb01863.x     Document Type: Article

References (25)

1. Backus, G.E., 1986. Poloidal and toroidal fields in geomagnetic field modeling, Rev. Geophys., 24, 75-109.
2. Backus, G.E., 1988. Comparing hard and soft prior bounds in geophysical inverse problems, Geophys. J., 94, 249-261.
3. Backus, G.E., 1990. Current meters in the core of the Earth, Scripps Inst. Oceanography Reference Series, 91-24, 97-119.
4. Backus, G.E., 1994. An estimate of magnetic correlation length at the core-mantle boundary from the Luecke-Mauersberger-Lowes-Spectrum, EOS, Trans. Am. geophys. Un., 15, 84.
5. Backus, G., Parker, R. & Constable, C., 1996. Foundations of Geomagnetism, Cambridge University Press, Cambridge.
6. Cain, J., Wang, Z., Schmitz, D. & Meyer, J., 1989. The geomagnetic spectrum for 1980 and core-crustal separation, Geophys. J., 97, 443-447.
7. Cain, J.C., Holter, B. & Sandee, D., 1990. Numerical experiments in geomagnetic modeling, J. Geomag. Geoelectr., 42, 973-987.
8. Constable, C.G. & Parker, R.L., 1988. Statistics of the geomagnetic secular variation for the past 5 m.y., J. geophys. Res., 93, 11 569-11 581.
9. De Santis, A., Falcone, C. & Lowes, F.J., 1995. Remarks on the mean-square values of the geomagnetic field and its components, Ann. Geofis., 38(2), 167-175.
10. Doob, J.L., 1953. Stochastic Processes, Wiley, New York, NY.
11. Gubbins, D., 1983. Geomagnetic field analysis - I. Stochastic inversion, Geophys. J. R. astr. Soc., 73, 641-652.
12. Holme, R. & Bloxham, J., 1995. Alleviation of the Backus effect in geomagnetic field modelling. Geophys. Res. Lett., 22, 1641-1644.
13. Jackson, A., 1990. Accounting for crustal magnetization in models of the core magnetic field, Geophys. J. Int., 103, 657-674.
14. Jackson, A., 1994. Statistical treatment of crustal magnetization, Geophys. J. Int., 119, 991-998.
15. Kendall, M. & Stuart, A., 1979. The Advanced Theory of Statistics, Vol. 2, Macmillan Publishing Co., Inc., New York, NY.
16. Knopp, K., 1945. Theory of Functions, Part 1, Dover, New York, NY.
17. Langel, R. & Estes, R., 1982. A geomagnetic field spectrum, Geophys. Res. Lett., 9, 250-253.
18. Langel, R., Ousley, G. & Herbert, J., 1982. The Magsat Mission, Geophys. Res. Lett., 9, 243-245.
19. Lowes, F.J., 1966. Mean-square values on sphere of spherical harmonic vector fields, J. geophys. Res., 71, 2179.
20. Luecke, O., 1957. Ueber Mittelwerte von Energiedichten der Kraftfelder, Wiss. Z. Pad. Hochschule Potsdam, Math.-Nat. Reihe, 3, 39-46.
21. Mauersberger, P., 1956. Das Mittel der Energiedichte des geo-magnetischen Hauptfeldes an der Erdoberflaeche und seine saekulare Aenderung, Gerlands Beitr. Geophys., 65, 207-215.
22. Press, W.H., Teukolsky, S.A., Vetterling, W.T. & Flannery, B.P., 1992 Numerical Recipes in C: The Art of Scientific Computing, 2nd edn, Cambridge University Press, Cambridge.
23. Shure, L., Parker, R. & Backus, G.E., 1982, Harmonic splines for geomagnetic modelling, PEPI, 28, 215-229.
24. Shure, L., Parker, R. & Langel, R., 1985. A preliminary harmonic spline model from magsat data, J. geophys. Res., 90, 11 505-11 512
25. 2 in the Atlantic and Pacific hemispheres, Geophys. Res. Lett., 23, 1965-1968.