ERROR ANALYSIS FOR THE DETERMINATION OF TECTONIC ROTATION FROM PALEOMAGNETIC DATA
ERROR ANALYSIS FOR THE DETERMINATION OF TECTONIC ROTATION FROM PALEOMAGNETIC DATA
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DOI：
10.1029/jb088ib05p04321
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发表时间：
1983-01-01
影响因子：
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通讯作者：
DEMAREST, HH
中科院分区：
文献类型：
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作者：
DEMAREST, HH
附录B提供整篇文章的微缩胶片。美国地球物理联合会订购，20009年华盛顿特区佛罗里达大道2000号。文档B83量001;2.50美元。付款必须随订单一起支付。最近根据古地磁资料对构造旋转和变平的测定将置信限或误差条的大小夸大了约25%。这是由于误用传统的误差传播公式从二维置信锥（α95）导出一个自由度的误差条造成的。分析计算表明，正确的误差条值为前人研究结果的75% ~ 80%，在误差条较小的情况下是有效的。我使用数值积分来检查解析解的适用性，并在解析近似不能使用时计算误差条。当α95小于10°且平均倾角不太接近垂直时，可以采用解析近似。最近文献中给出的构造旋转和平坦化置信限过大，应降低20-25%。以这种方式缩小误差条，可以更准确地解释古地磁数据。
Appendix B is available with entire article on microfiche. Order from American Geophysical Union, 2000 Florida Avenue, N.W., Washington, D.C. 20009. Document B83‐001; $2.50. Payment must accompany order.Recent determinations of tectonic rotation and flattening from paleomagnetic data have exaggerated the size of the confidence limits or error bars by about 25%. This has been caused by the misuse of conventional error propagation formulas to derive one degree of freedom error bars from a two dimensional cone of confidence (α95). An analytical calculation, which is valid when error bars are small, shows that the correct error bars are 75% to 80% of the values derived in previous studies. I have used numerical integration to check on the applicability of the analytical solution and to calculate error bars when the analytical approximation cannot be used. The analytical approximation may be used whenever α95is less than 10° and the mean inclination is not too close to vertical. Confidence limits given for tectonic rotation and flattening in recent literature are too large and should be reduced by 20–25%. Narrowing the error bars in this way permits a more accurate interpretation of paleomagnetic data.