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Open AccessArticle

Shannon Entropy as an Indicator for Sorting Processes in Hydrothermal Systems

Department of Earth Systems Analysis, Faculty of Geo-Information Science and Earth Observation (ITC), University of Twente, Hengelosestraat 99, 7500 AA Enschede, The Netherlands
Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS), University of Twente, Drienerlolaan 5, 7522 NB Enschede, The Netherlands
School of Geosciences, University of the Witwatersrand, Private Bag 3, Johannesburg 2050 Wits, South Africa
Author to whom correspondence should be addressed.
Entropy 2020, 22(6), 656;
Received: 13 May 2020 / Revised: 3 June 2020 / Accepted: 10 June 2020 / Published: 13 June 2020
(This article belongs to the Special Issue Entropy: The Scientific Tool of the 21st Century)
Hydrothermal processes modify the chemical and mineralogical composition of rock. We studied and quantified the effects of hydrothermal processes on the composition of volcanic rocks by a novel application of the Shannon entropy, which is a measure of uncertainty and commonly applied in information theory. We show here that the Shannon entropies calculated on major elemental chemical composition data and short-wave infrared (SWIR) reflectance spectra of hydrothermally altered rocks are lower than unaltered rocks with a comparable primary composition. The lowering of the Shannon entropy indicates chemical and spectral sorting during hydrothermal alteration of rocks. The hydrothermal processes described in this study present a natural mechanism for transforming energy from heat to increased order in rock. The increased order is manifest as the increased sorting of chemical elements and SWIR absorption features of the rock, and can be measured and quantified by the Shannon entropy. The results are useful for the study of hydrothermal mineral deposits, early life environments and the effects of hydrothermal processes on rocks.
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Keywords: Shannon entropy; hydrothermal; processes; sorting; chemistry; minerals; early life Shannon entropy; hydrothermal; processes; sorting; chemistry; minerals; early life
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van Ruitenbeek, F.J.A.; Goseling, J.; Bakker, W.H.; Hein, K.A.A. Shannon Entropy as an Indicator for Sorting Processes in Hydrothermal Systems. Entropy 2020, 22, 656.

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