摘要: Abstract A formalized method of constructing a best-fitting smooth curve, with confidence limits, to sequential data on sphere is proposed and least-squares alignment two time series discussed. The procedure, developed from Gould's regression technique for angular variates (corresponding multiple analysis normally distributed variates), involves fitting cubic splines using weighted (robust) approximation. Paths apparent polar wander (APW) are defined continuously, have continuous first second derivatives always lie the sphere. cross-validation mean square deviation used determine degree smoothing. North American European APW paths, their 95% bands accelerations last 500 Ma been calculated.
harvard.edu
elsevier.com
sci-hub.se 参考文章(24)
Svante Wold, Spline Functions in Data Analysis Technometrics. ,vol. 16, pp. 1- 11 ,(1974) , 10.1080/00401706.1974.10489142
E. Irving, Drift of the major continental blocks since the Devonian Nature. ,vol. 270, pp. 304- 309 ,(1977) , 10.1038/270304A0
M. W. McElhinny, J. A. Cowley, Palaeomagnetic directions and pole positions—XIV. Pole numbers 14/1 to 14/574 Geophysical Journal International. ,vol. 49, pp. 313- 356 ,(1977) , 10.1111/J.1365-246X.1977.TB03712.X
M. W. McElhinny, B. J. J. Embleton, Precambrian and Early Palaeozoic Palaeomagnetism in Australia Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 280, pp. 417- 431 ,(1976) , 10.1098/RSTA.1976.0005
K. M. CREER, E. IRVING, S. K. RUNCORN, The Direction of the Geomagnetic Field in Remote Epochs in Great Britain Journal of geomagnetism and geoelectricity. ,vol. 6, pp. 163- 168 ,(1954) , 10.5636/JGG.6.163
I. J. Schoenberg, SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 52, pp. 947- 950 ,(1964) , 10.1073/PNAS.52.4.947
M. W. McElhinny, J. A. Cowley, Palaeomagnetic directions and pole positions ? XV. Pole numbers 15/1 to 15/232 Geophysical Journal International. ,vol. 52, pp. 259- 276 ,(1978) , 10.1111/J.1365-246X.1978.TB04233.X
R. Fisher, Dispersion on a Sphere Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 217, pp. 295- 305 ,(1953) , 10.1098/RSPA.1953.0064
M. W. McElhinny, Palaeomagnetic Directions and Pole Positions—IX Pole Numbers 9/1 to 9/159 Geophysical Journal International. ,vol. 16, pp. 207- 224 ,(1968) , 10.1111/J.1365-246X.1968.TB00217.X
M. W. McElhinny, J. A. Cowley, Palaeomagnetic directions and pole positions — XVI Pole numbers 16/1 to 16/296 Geophysical Journal International. ,vol. 61, pp. 549- 571 ,(1980) , 10.1111/J.1365-246X.1980.TB04832.X