Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/104993
Title: | A mathematical model based on Bayesian theory and Gaussian copula for the discrimination of gabbroic rocks from three tectonic settings | Authors: | Han, S Li, M Zhang, Q Li, H |
Issue Date: | 2019 | Source: | The journal of geology, 2019, v.127, no. 6, p. 611-626 | Abstract: | Discriminating among tectonic settings by the chemical composition of igneous rocks is a feasible method in geochemistry. In this study, the feasibility of using gabbroic rocks to discriminate among tectonic settings is analyzed, and a mathematical model based on Gaussian copula and Bayesian theory is set up to discriminate among three tectonic settings: island arc, ocean island, and mid-oceanic ridge. The derivation of the model includes three steps: (1) determine the probability density functions (PDFs) of the elements in different tectonic settings, (2) determine the joint PDFs of the geochemical components of the rocks from different tectonic settings using copula functions, and (3) determine the tectonic settings of rocks using Bayesian theory. The optimal parameters of the mathematical model are calculated using a genetic algorithm, and finally the definitive form of the model is determined with nine basic elements: TiO2, Al2O3, FeOT, CaO, MnO, K2O, Na2O, Ni, and Sr. An experiment shows that the success rates of the mathematical model on the three tectonic settings are 84.03%, 95.48%, and 91.84%, respectively. The average percent success rate is 92.13%, which is significantly higher than using discrimination diagrams and the naive Bayes algorithm. Such an ideal result indicates that using gabbroic rocks to determine the types of tectonic settings is feasible. Moreover, this study can provide support for the application of machine learning and mathematical methods in the field of geochemistry. | Publisher: | University of Chicago Press | Journal: | The journal of geology | ISSN: | 0022-1376 | EISSN: | 1537-5269 | DOI: | 10.1086/705413 | Rights: | © 2019 by The University of Chicago. The following publication Han, S., Li, M., Zhang, Q., & Li, H. (2019). A mathematical model based on Bayesian theory and Gaussian copula for the discrimination of gabbroic rocks from three tectonic settings. The Journal of Geology, 127(6), 611-626 is available at https://www.journals.uchicago.edu/doi/10.1086/705413. |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
BRE-0479_Han_Mathematical_Model_Based.pdf | 5.81 MB | Adobe PDF | View/Open |
Page views
12
Citations as of Apr 21, 2024
Downloads
4
Citations as of Apr 21, 2024
SCOPUSTM
Citations
5
Citations as of Apr 26, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.