An objective technique for determining end-member compositions and for partitioning sediments according to their sources

Mathematics – Logic

Scientific paper

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Scientific paper

A modification of Q-mode factor analysis provides an objective technique for end-member characterization of geologic mixtures. Factor analysis has not often been used to determine the actual composition of end-member sources in geologic mixtures, because transformations of the original data variables during the analysis result in negative factor scores for some variables and negative "concentrations" of some variables in the end-members. We use a non-orthogonal rotation of end-member vectors toward the mean vector to bring the end-members into the positive vector space. This technique is demonstrated on a large data set of elemental analyses of bulk sediment surface samples from the Nazca Plate in the southeast Pacific. These data were chosen because they had been studied in detail previously. Our technique identified five geologically reasonable end-members which represent detritus, siliceous biogenic sediment, hydrothermal sediment, hydrogenous or authigenic sediment, and a refractory residue left after the dissolution of biogenic debris. The number, composition, and distribution of the end-members are similar to those derived from previous extensive partitioning studies of the sediments.

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