A Continuous Plate-Tectonic Model Using Geophysical Data to Estimate
GEOPHYSICAL JOURNAL INTERNATIONAL, 133, 379–389, 1998 1 A continuous plate-tectonic model using geophysical data to estimate plate margin widths, with a seismicity based example Caroline Dumoulin1, David Bercovici2, Pal˚ Wessel Department of Geology & Geophysics, School of Ocean and Earth Science and Technology, University of Hawaii, Honolulu, 96822, USA Summary A continuous kinematic model of present day plate motions is developed which 1) provides more realistic models of plate shapes than employed in the original work of Bercovici & Wessel [1994]; and 2) provides a means whereby geophysical data on intraplate deformation is used to estimate plate margin widths for all plates. A given plate’s shape function (which is unity within the plate, zero outside the plate) can be represented by analytic functions so long as the distance from a point inside the plate to the plate’s boundary can be expressed as a single valued function of azimuth (i.e., a single-valued polar function). To allow sufficient realism to the plate boundaries, without the excessive smoothing used by Bercovici and Wessel, the plates are divided along pseudoboundaries; the boundaries of plate sections are then simple enough to be modelled as single-valued polar functions. Moreover, the pseudoboundaries have little or no effect on the final results. The plate shape function for each plate also includes a plate margin function which can be constrained by geophysical data on intraplate deformation. We demonstrate how this margin function can be determined by using, as an example data set, the global seismicity distribution for shallow (depths less than 29km) earthquakes of magnitude greater than 4.
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