New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau

Surendra P. Verma, Lorena Díaz-Gonz alez

Surendra P. Verma, Lorena Díaz-Gonz alez. New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau[J]. 地学前缘, 2020, (5): 1681-1693. DOI: 10.1016/j.gsf.2020.01.005
引用本文: Surendra P. Verma, Lorena Díaz-Gonz alez. New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau[J]. 地学前缘, 2020, (5): 1681-1693. DOI: 10.1016/j.gsf.2020.01.005
Surendra P. Verma, Lorena Díaz-Gonz alez. New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau[J]. Geoscience Frontiers, 2020, (5): 1681-1693. DOI: 10.1016/j.gsf.2020.01.005
Citation: Surendra P. Verma, Lorena Díaz-Gonz alez. New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau[J]. Geoscience Frontiers, 2020, (5): 1681-1693. DOI: 10.1016/j.gsf.2020.01.005

New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau

基金项目: 

We are grateful to Alfredo Quiroz-Ruiz for maintaining the web portal Tlaloc and to Mauricio Rosales-Rivera for updating Tlaloc with our software MOROPdisc and the related files. We are grateful to the Editorial Advisor Prof. M. Santosh and Associate Editor Dr. Richard Palin for efficiently handling our manuscript and to two anonymous reviewers not only for their high appreciation of our work but also, more importantly, pointing out several ideas to improve our presentation.

New discriminant-function-based multidimensional discrimination of mid-ocean ridge and oceanic plateau

Funds: 

We are grateful to Alfredo Quiroz-Ruiz for maintaining the web portal Tlaloc and to Mauricio Rosales-Rivera for updating Tlaloc with our software MOROPdisc and the related files. We are grateful to the Editorial Advisor Prof. M. Santosh and Associate Editor Dr. Richard Palin for efficiently handling our manuscript and to two anonymous reviewers not only for their high appreciation of our work but also, more importantly, pointing out several ideas to improve our presentation.

  • 摘要: From a compilation of geochemical data for the discrimination of the tectonic settings of mid-ocean ridge (MOR; 3730 samples) and oceanic plateau (OP; 3656 samples), we present two new discriminant functions and diagrams obtained from censored multivariate discordant outlier-free datasets. Ten different sets of data (original concentrations as well as isometric log-ratio transformed (ilr) variables; all 10 major (M) elements as well as all 10 major and 6 trace elements MT) were used to evaluate the quality of discrimination from linear discriminant analysis (LDA) and canonical analysis. Two selected multidimensional models ilrM (9 ilr transformed variables of multi-normally distributed 10 major elements) and ilrMT (15 ilr transformed variables of multi-normally distributed combined 10 major and 6 trace elements), considered as the best or most representative (total of 5650 samples for ilrM and 2858 for ilrMT), provided percent success values, respectively, of 80.9% for the MOR and 81.1% for the OP (ilrM) and 88.5% for the MOR and 90.1% for the OP (ilrMT). Both processes (log-ratio transformation and multi-normality) rendered the percent success values similar for both groups (MOR and OP). The respective discriminant functions were successfully used for four tests from known tectonic settings and four application cases (two for ophiolites and two for Precambrian rocks), documenting thus the utility of the new discrimination procedure for the MOR and OP tectonic settings. Furthermore, we showed that our multidimensional procedure is robust against analytical errors or uncertainties, as well as post-emplacement compositional changes caused by element mobility from both low or high temperature alteration. The robustness against the gain or loss of a single element at a time was also documented, from which the ilrMT model was evaluated as more robust than the ilrM model. A new online computer program MOROPdisc was written in Java Framework ZK, which is freely available for use at our web portal http://tlaloc.ier.unam.mx.
    Abstract: From a compilation of geochemical data for the discrimination of the tectonic settings of mid-ocean ridge (MOR; 3730 samples) and oceanic plateau (OP; 3656 samples), we present two new discriminant functions and diagrams obtained from censored multivariate discordant outlier-free datasets. Ten different sets of data (original concentrations as well as isometric log-ratio transformed (ilr) variables; all 10 major (M) elements as well as all 10 major and 6 trace elements MT) were used to evaluate the quality of discrimination from linear discriminant analysis (LDA) and canonical analysis. Two selected multidimensional models ilrM (9 ilr transformed variables of multi-normally distributed 10 major elements) and ilrMT (15 ilr transformed variables of multi-normally distributed combined 10 major and 6 trace elements), considered as the best or most representative (total of 5650 samples for ilrM and 2858 for ilrMT), provided percent success values, respectively, of 80.9% for the MOR and 81.1% for the OP (ilrM) and 88.5% for the MOR and 90.1% for the OP (ilrMT). Both processes (log-ratio transformation and multi-normality) rendered the percent success values similar for both groups (MOR and OP). The respective discriminant functions were successfully used for four tests from known tectonic settings and four application cases (two for ophiolites and two for Precambrian rocks), documenting thus the utility of the new discrimination procedure for the MOR and OP tectonic settings. Furthermore, we showed that our multidimensional procedure is robust against analytical errors or uncertainties, as well as post-emplacement compositional changes caused by element mobility from both low or high temperature alteration. The robustness against the gain or loss of a single element at a time was also documented, from which the ilrMT model was evaluated as more robust than the ilrM model. A new online computer program MOROPdisc was written in Java Framework ZK, which is freely available for use at our web portal http://tlaloc.ier.unam.mx.
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  • 收稿日期:  2019-08-14
  • 修回日期:  2019-10-23
  • 网络出版日期:  2020-09-07
  • 发布日期:  2020-09-05

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