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A method for bounding uncertainties in combined plate reconstructions

Molnar, Peter and Stock, Joann M. (1985) A method for bounding uncertainties in combined plate reconstructions. Journal of Geophysical Research B, 90 (B14). pp. 12537-12544. ISSN 0148-0227. http://resolver.caltech.edu/CaltechAUTHORS:20140919-123757633

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Abstract

We present a method for calculating uncertainties in plate reconstructions that does not describe the uncertainty in terms of uncertainties in pole positions and rotation angles. If a fit of magnetic anomalies of the same age and fracture zones that were active as transform faults at that time can be found, such a reconstruction can be perturbed and degraded by small rotations about each of three orthogonal axes (partial uncertainty poles). If the uncertainty in the reconstruction is a consequence of independent, small, but acceptable, rotations about these axes, then the uncertainties in reconstructed points will be elliptical in shape. The dimensions and orientation of such ellipses will depend upon the magnitudes of the perturbing rotations and upon the relative geometry of the partial uncertainty poles and the points in question. In a sequence of rotations, each rotation will contribute an elliptical region of uncertainty for each reconstructed point, and these ellipses can be combined as independent statistical quantities to obtain a confidence ellipse for the sequence of rotations. As a test, we calculated uncertainties for three points on the Pacific plate with respect to North America at the time of anomaly 6 (20 Ma). The computed uncertainties are similar in shape to those that we previously obtained for a sequence of marginally acceptable rotations, but the major axes of the ellipses presented here are about 25% shorter.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1029/JB090iB14p12537DOIArticle
http://onlinelibrary.wiley.com/doi/10.1029/JB090iB14p12537/abstractPublisherArticle
ORCID:
AuthorORCID
Stock, Joann M.0000-0003-4816-7865
Additional Information:© 1985 American Geophysical Union. Received March 20, 1985; revised July 26, 1985; accepted July 26, 1985. Paper number 5B5538. We thank S. Luria for typing the manuscript and Richard Gordon and a JGR associate for helpful reviews. This research was primarily supported by National Science Foundation grant OCE-8400090. J. M. Stock was supported by the Fannie and John Hertz foundation.
Group:Seismological Laboratory
Funders:
Funding AgencyGrant Number
NSFOCE-8400090
Fannie and John Hertz FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20140919-123757633
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140919-123757633
Official Citation:Molnar, P., and J. M. Stock (1985), A method for bounding uncertainties in combined plate reconstructions, J. Geophys. Res., 90(B14), 12537–12544, doi:10.1029/JB090iB14p12537
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49859
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Sep 2014 20:15
Last Modified:04 Dec 2015 20:41

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