Summary

We present and make publicly available a dynamic programming algorithm to simultaneously align the inclination and declination vector directions of sedimentary paleomagnetic secular variation data.This algorithmgenerates a library of possible alignments through the systematic variation of assumptions about the relative accumulation rate and shared temporal overlap of two or more time-series. The paleomagnetist can then evaluate this library of reproducible and objective alignments using available geologic constraints, statistical methods, and expert knowledge.We apply the algorithm to align previously (visually) correlated medium to high accumulation rate northern North Atlantic Holocene deposits (10¹– 10² cm/ka) with strong radiocarbon control. The algorithm generates plausible alignments that largely conform with radiocarbon and magnetic acquisition process uncertainty. These alignments illustrate the strengths and limitations of this numerical approach.

中文翻译：

---

古磁长期变化数据的动态时间扭曲

概要

我们提出并公开提供了一种动态规划算法，以同时对齐沉积古磁长期变化数据的倾斜和倾斜矢量方向，该算法通过系统地假设两个相对相对累积率和共享时间重叠，系统地生成了可能的比对库或更多时间序列。然后古生物学家可以使用可用的地质条件，统计方法和专家知识来评估该可再现和客观的路线库。我们应用该算法，将先前（视觉上）相关的中等至高堆积率的北大西洋全新世沉积物进行对齐（10 ¹ – 10 ² cm / ka），并具有强大的放射性碳控制能力。该算法产生合理的比对，该比对在很大程度上符合放射性碳和磁性采集过程的不确定性。这些对比说明了这种数值方法的优点和局限性。