Analysis of the Thelliers' Method of Paleointensity Determination 1
Analysis of the Thelliers' Method of Paleointensity Determination 1
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泰勒斯古强度测定方法分析 1
DOI：
10.5636/jgg.36.267
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发表时间：
1984
期刊：
影响因子：
--
通讯作者：
Hidefumi Tanaka
中科院分区：
文献类型：
--
作者：
M. Kono;Hidefumi Tanaka
在获得地磁场的古强度估计及其不确定性时，对数据进行最小二乘拟合以获得线性NRM-TRM关系的斜率。由于X和Y坐标（TRM和NRM分量）都包含误差，因此在计算斜率时应使用两个坐标的方差（即，古强度）。我们提出了一种基于实验误差计算方差的方法。数值分析表明，误差随着温度的变化而变化，并且即使样品表现出理想的行为，居里点附近的数据也包含很大的统计误差。与通常的看法相反，在空间中加热并不能减少整体误差;原来的方法是场方向相反的双重加热，可以更好地平衡误差，因此性能更好。此外，在计算NRM-TRM线性关系的斜率时，我们建议用威廉姆森（1968）的方法代替约克（1966）的原始方法，因为前者反映了单个数据点的误差水平，而后者不能。用本方法得到的标准误差是古地震烈度数据总体可靠性的一个很好的度量。
In obtaining paleointensity estimates of the geomagnetic field and their uncertainties, least squares fitting is performed on the data to obtain the slope of the linear NRM-TRM relation. Since both the X and Y coordinates (the TRM and NRM components) contain errors, variances of both coordinates should be used in the calculation of the slope (i.e., paleointensity). We propose a method to calculate variances based on experimental errors. Numerical analysis indicates that errors vary with temperature, and that data near the Curie point contain large statistical errors, even when samples show an ideal behavior. Contrary to the usual belief, heating in nonmagnetic space does not reduce overall errors; the original method of double heating with the field direction reversed gives more well balanced errors and therefore better performance. Further, we suggest the use of WILLIAMSON's (1968) method instead of YORK'S (1966) original argorithm in the calculation of the slope of the NRM-TRM linear relation, because the former method reflects the error level in individual data points while the latter does not. The standard error obtained by the present method is a good measure of the overall reliability of paleointensity data.