Viscous magnetization, archaeology and Bayesian statistics of small samples from Israel and England
Viscous magnetization, archaeology and Bayesian statistics of small samples from Israel and England
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以色列和英国小样本的粘性磁化、考古学和贝叶斯统计
DOI：
10.1029/2003gl016977
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
G. Borradaile
中科院分区：
文献类型：
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作者：
G. Borradaile
某些石灰岩在重新定向成纪念碑后，在考古学的时间间隔内具有粘性和明显的磁性。VRM的实验室退磁温度（TUB）随着安装年限的增加而增加;以色列白垩的退磁率为10.07 C 0/年，英国白垩的退磁率为10.1 C 0/年。经验关系可用于确定神秘建筑物或地貌特征（例如，地滑）。这种相关性也提供了一些洞察的时间间隔τ ≤ 4000年的粘性再磁化过程，这是在实验室研究中无法获得的。粘性再磁化的TU B-年龄关系似乎遵循幂律，线性化为log 10（τ）B log 10（TU B）。不同的远洋石灰岩遵循不同的曲线，而传统的回归估计幂律指数B，小样本量建议贝叶斯统计方法。从网站建设与远洋白垩从英格兰东部，精确的先验信息（B = 0.761）相比，更古老的网站在以色列北方（B = 0.873）的精确信息。集体后验相关显示广义幂律指数B = 0.849。该回归解释了年龄的84.9%的集体方差（r2 = 0.849）。当然，考古年龄的确定需要特定地点的校准。
Certain limestones remagnetize viscously and noticeably over archaeological time‐intervals, after their reorientation into monuments. The laboratory demagnetization temperatures (TUB) for the VRM increase with the installation age; with rates of ∼0.07 C0/year for Israel chalk and ∼0.1C0/year for English chalk. The empirical relationship may be used to date enigmatic buildings or geomorphological features (e.g., land slips). Such correlations also give some insight into the viscous remagnetization process over time intervals τ ≤ 4000 years, which are unobtainable in laboratory studies. The TUB‐age relationship for the viscous remagnetization appears to follow a power law, linearized as log10(τ) ≈ b log10 (TUB). Different pelagic limestones follow different curves and, whereas conventional regression estimates the power law exponent b, the small sample size recommends a Bayesian statistical approach. From sites constructed with pelagic chalk from eastern England, precise prior information (b = 0.761) is compared with less precise information for much more ancient sites in northern Israel (b = 0.873). The collective posterior correlation shows a generalized power law exponent b = 0.849. That regression explains 84.9% of the collective variance in age (r2 = 0.849). Of course, site‐specific calibration is required for archaeological age determinations.