Discriminating four tectonic settings: Five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log — ratio transformation of major-element data |
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Authors: | Surendra P Verma Mirna Guevara Salil Agrawal |
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Institution: | (1) 1Centro de Investigación en Energía, Universidad Nacional Autónoma de México, Priv. Xochicalco s/no., Col Centro, Apartado Postal 34, 62580 Temixco, Mexico;(2) Department of Geology, University of Rajasthan, 302 004 Jaipur, India |
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Abstract: | We present five new discriminant function diagrams based on an extensive database representative of basic and ultrabasic rocks
from four tectonic settings of island arc, continental rift, ocean-island, and mid-ocean ridge. These diagrams were obtained
after loge-transformation of concentration ratios of major-elements — a technique recommended for a correct statistical treatment of
compositional data. Higher % success rates (overall values from ∼ 83 to 97%) were obtained for proposing these new diagrams
as compared to those (∼82 to 94%) obtained from the discriminant analysis of the raw major-element concentration data (i.e.,
without the loge-transformation and without taking ratios of the compositional data, but using exactly the same database to provide an unbiased
comparison), suggesting that such a data transformation constitutes a statistically correct and recommended technique. The
new diagrams also resulted in less mis-classification of basic and ultrabasic rocks from known tectonic settings than the
diagrams obtained from the raw data. The use of these highly successful new discriminant function diagrams is illustrated
using Miocene to Recent basic and ultrabasic rocks from three areas of Mexico with complex or controversial tectonic settings
(Mexican Volcanic Belt, Los Tuxtlas volcanic field, and Eastern Alkaline Province), as well as older rocks from three areas
(Deccan, Malani, and Bastar) of India. Additionally, the major-element data from two ‘known’ continental arc settings are
used to show that they are similar to those from the island arc setting. Continental rift setting is inferred for all Mexican
cases and for one cratonic area of India (Malani) and an IAB setting for the Bastar craton. The Deccan flood basalt province
of India is used to warn against an indiscriminate use of those discrimination diagrams that do not explicitly include the
likely setting of the area under evaluation. An Excel template is also provided for an easy application of these new diagrams
for discriminating the four settings considered in this work. |
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Keywords: | Log-transformation compositional space discriminant function analysis standard igneous norm and volcanic rock classification system computer program Mexico India |
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