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标题：Shift of the mean magnetic field values: Effect of scatter due to secular variation and errors
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作者：Tadahiro Hatakeyama ; Masaru Kono
期刊名称：Earth, Planets and Space
电子版ISSN：1880-5981
出版年度：2014
卷号：53
期号：1
页码：31-44
DOI：10.1186/BF03352360
出版社：Springer Verlag
摘要：Paleomagnetic data are mostly given in the form of field directions (inclinations and declinations) which depend nonlinearly on the model parameters (Gauss coefficients). Because of this nonlinearity, the means of the data are affected not only by the means of the parameters but also by their fluctuations. Defining the mean directions by the Fisher method decreases this effect but does not completely eliminate it. For various mean fields, we evaluate the effect of secular variation on the means of Fisher-averaged directions by the analytical (Taylor expansion to the second order) as well as by the numerical (Monte Carlo) method. It was shown that a significant amount of offset occurs in the field values because of the fluctuation caused by secular variation. In the case of an inclination anomaly, the effect of secular variation as a function of latitude is antisymmetric about the equator, similar to that of the axial octupole term ( g 0 3 ). We also show that the measurement errors do not induce biases in the mean field data, provided that they are random and isotropic.