Bingham Statistical Distributions in Paleomagnetism: In Search of a Technique to Determine Paleolongitudes

Van der Voo Bingham统计分析可以应用于古地磁数据，以检验Bingham椭圆长轴的方位角是否与视极移路径（APWP）相切。如果古地磁方向有足够的时间来反映明显的极移，则长轴与APWP趋势平行。该方法已与北美APWP进行了测试，验证了方法和假设。用其方位线对极进行绘图为APWP提供了额外的定义。更重要的是，这些与APWP的切线可以用于洲际比较，从而获得相对的古经度信息。本研究拟通过三个测试案例来验证这一观点，其中一些测试案例仍存在争议：(1)提出的泛大陆构造（a、B和C）的比较，(2)Iapetus洋中古生代演化过程中南北美洲古纵向位置的比较，以及(3)Rodinia超大陆元古代构造。＊＊＊

97-05755 Van der Voo Bingham statistical analysis can be applied to paleomagnetic data to test whether the azimuths of the long axes of the Bingham ellipses lie tangent to an apparent polar wander path (APWP). The long axes are expected to be parallel to the APWP trends if the paleomagnetic directions sampled sufficient time to reflect apparent polar wander. The method has been tested with the North American APWP, validating the methods and the hypothesis. The plotting of a pole with its azimuthal cord provides additional definition to an APWP. More importantly for this proposed study is that these tangents to the APWP can be used in intercontinental comparisons that may yield relative paleolongitude information. This proposed study intends to evaluate this idea with three test cases, some of which remain rather controversial: (1) a comparison of proposed Pangea configurations (A, B and C), (2) a comparison of paleolongitudinal positions of North and South America during the middle Paleozoic evolution of the Iapetus Ocean, and (3) Proterozoic configurations of the Rodinia Supercontinent. ***