Statistics – Methodology
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jgr....91.5999d&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 91, May 10, 1986, p. 5999-6028. Research supported by Southern Methodist
Statistics
Methodology
43
Basalt, Geochemistry, Magma, New Mexico, Petrology, Metal Oxides, Neutron Activation Analysis, Planetary Evolution, Stratigraphy, Trace Elements
Scientific paper
MULTIFIT, an embodiment of the conceptual structure needed in modeling multisource and multiprocess magmatic systems, is described. This program, which uses familiar materials balance methodology and the equilibrium form of the Rayleigh equations, links evolutionary arrays, which is turn collectively relate the starting and final compositions of a given magmatic system. Moreover, MULTIFIT incorporates variations within major element data arrays; the linkage between them can be tested using an extension of the least squares algorithm, which selects the best branch point according to the minimum-sum-of-squared-residuals criterion. Advantages and disadvantages of the materials balance approach used in this program are discussed, an example is provided, and equations utilized by MULTIFIT are summarized. While MULTIFIT may not be the best approach for poorly constrained models involving partial melting for complex mixing, it may ultimately prove useful for ascertaining trace element partition coefficients in magnetic systems.
Dungan Michael A.
Hoefs Joachim
Lindström Markus
McMillan N. J.
Moorbath Stephen
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