The fit of polar wander curves by small circles using Marquardt's algorithm: statistical properties.

Details The fit of polar wander curves by small circles using Marquardt's algorithm: statistical properties. The fit of polar wander curves by small circles using Marquardt's algorithm: statistical properties.

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991geoji.105..731s&link_type=abstract

Geophysical Journal International, Vol. 105, No. 3, p. 731 - 745

Statistics

Applications

1

Geomagnetic Field: Variations

Scientific paper

The method of constructing smooth apparent polar wander paths by fitting to small circle arcs is re-examined. The calculation of the best fitting small circle axis and angle is carried out by means of an iterative rapidly convergent method. In addition, statistical properties are derived for the various estimated parameters in the linear asymptotic approximation, which allows, in particular, the determination of ellipses of confidence around the calculated poles of the model. Applications to the North American apparent polar wander path using previously published data sets are given as illustrations. In each case, the consistency of the inferred statistics has been checked by simulations.

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