Estimating Proportions in Petrographic Mixing Equations by Least-Squares Approximation

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Science  28 Feb 1969:
Vol. 163, Issue 3870, pp. 926-927
DOI: 10.1126/science.163.3870.926


Petrogenetic hypotheses involving fractional crystallization, assimilation, or mixing of magmas may be expressed and tested as problems in leastsquares approximation. The calculation uses all of the data and yields a unique solution for each model, thus avoiding the ambiguity inherent in graphical or trial-and-error procedures. The compositional change in the 1960 lavas of Kilauea Volcano, Hawaii, is used to illustrate the method of calculation.

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