@article{Brandmeier2016713, author = "M. Brandmeier and Gerhard W{\"o}rner", abstract = "Abstract Multivariate statistical and geospatial analyses based on a compilation of 890 geochemical and ~ 1200 geochronological data for 194 mapped ignimbrites from the Central Andes document the compositional and temporal patterns of large-volume ignimbrites (so-called “ignimbrite flare-ups”) during Neogene times. Rapid advances in computational science during the past decade led to a growing pool of algorithms for multivariate statistics for large datasets with many predictor variables. This study applies cluster analysis (CA) and linear discriminant analysis (LDA) on log-ratio transformed data with the aim of (1) testing a tool for ignimbrite correlation and (2) distinguishing compositional groups that reflect different processes and sources of ignimbrite magmatism during the geodynamic evolution of the Central Andes. \{CA\} on major and trace elements allows grouping of ignimbrites according to their geochemical characteristics into rhyolitic and dacitic “end-members” and to differentiate characteristic trace element signatures with respect to Eu anomaly, depletions in middle and heavy rare earth elements (REE) and variable enrichments in light REE. To highlight these distinct compositional signatures, we applied \{LDA\} to selected ignimbrites for which comprehensive datasets were available. In comparison to traditional geochemical parameters we found that the advantage of multivariate statistics is their capability of dealing with large datasets and many variables (elements) and to take advantage of this n-dimensional space to detect subtle compositional differences contained in the data. The most important predictors for discriminating ignimbrites are La, Yb, Eu, Al2O3, K2O, P2O5, MgO, FeOt, and TiO2. However, other \{REE\} such as Gd, Pr, Tm, Sm, Dy and Er also contribute to the discrimination functions. Significant compositional differences were found between (1) the older ({\&}gt; 13 Ma) large-volume plateau-forming ignimbrites in northernmost Chile and southern Peru and (2) the younger ({\&}lt; 10 Ma) Altiplano–Puna–Volcanic-Complex (APVC) ignimbrites that are of similar volumes. Older ignimbrites are less depleted in \{HREE\} and less radiogenic in Sr isotopes, indicating smaller crustal contributions during evolution in a thinner and thermally less evolved crust. These compositional variations indicate a relation to crustal thickening with a “transition” from plagioclase to amphibole and garnet residual mineralogy between 13 and 9 Ma. Compositional and volumetric variations correlate to the N–S passage of the Juan-Fernand{\'e}z-Ridge, crustal shortening and thickening, and increased average crustal temperatures during the past 26 Ma. ", doi = "http://dx.doi.org/10.1016/j.lithos.2016.07.011", issn = "0024-4937", journal = "Lithos ", keywords = "Andes", pages = "713 - 728", title = "{C}ompositional variations of ignimbrite magmas in the {C}entral {A}ndes over the past 26 {M}a — {A} multivariate statistical perspectiv", url = "http://www.sciencedirect.com/science/article/pii/S0024493716301657", volume = "262", year = "2016", }