An Investigation of Two Models for the Degree Variances of Global Covariance Functions
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Date
1978-09
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Ohio State University. Division of Geodetic Science
Abstract
Degree variances of the covariance function for gravity anomalies are represented according to the two-component model suggested by Moritz in an attempt to arrive at a low horizontal gradient variance (200 E2 ). The parameters of the model are determined through a least squares adjustment to data consisting of GEM 9 anomaly degree variances, as well as empirical point and mean anomaly variances. Results show that this model can accommodate the given point and mean anomaly variances and degree variances, while also yielding the desired low gradient variance. A comparison of this and a similar one-component model investigated by Tscherning and Rapp indicates that the latter cannot produce a low gradient variance together with a satisfactory fit to the data. Also, it does not adapt as well to the observed (GEM 9) attenuation of the anomaly degree variances. [Some mathematical expressions are not fully represented in the metadata. Full text of abstract available in document.]