| 多元统计在大洋玄武岩同位素端元识别中的应用 |
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| 引用本文： | 李曙光,肖越辉.多元统计在大洋玄武岩同位素端元识别中的应用[J].地质科学,1994,29(3):298-308. |
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| 作者姓名： | 李曙光 肖越辉 |
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| 作者单位： | 中国科学技术大学地球与空间科学系 合肥 230026 |
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| 摘 要： | 应用因子分析的方差最大旋转和非线性映射方法对海洋玄武岩Sr、Nd、Pb同位素数据在多维空间中的数据结构进行了分析。研究表明这些数据在多维空间中呈五角形结构,并对应5个地幔端元:大西洋中脊玄武岩(DMM),圣埃伦那(HIMU),鲸岛(EMI),萨摩亚岛(EMII)和DS(EMIII).其中DS(EMIII)是本文新识别出来的一个地幔端元,它可能是重新进入地幔的具有较高古老放射成因Pb的下地壳物质。
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| 关 键 词： | 地幔不均一性 海洋玄武岩 Sr、Nb、Rb同位素 多元统计分析 |
| 收稿时间： | 1991-06-15 |
| 修稿时间： | 1991-06-15; |
APPLICATION OF MULTIVARIATE STATISTICS TO RECOGNITION OF ISOTOPIC END-MEMBERS IN OCEANIC BASALTS |
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| Li Shuguang, Xiao Yuehui and Hu Xiaopeng.APPLICATION OF MULTIVARIATE STATISTICS TO RECOGNITION OF ISOTOPIC END-MEMBERS IN OCEANIC BASALTS[J].Chinese Journal of Geology,1994,29(3):298-308. |
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| Authors: | Li Shuguang Xiao Yuehui and Hu Xiaopeng |
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| Institution: | Department of Barth and Space Sciences, University of Science and Technology of China, Hefei 230026 |
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| Abstract: | Factor analysis (or principal component analysis) and eigenvector projections have been applied to the recognition of isotopic end-members in oceanic basalts based on date distribution in isotopic multispace and show the advantages of this method (Zindler et al., 1982; Allegre et al., 1987). However, the geochemical implication o f the eigenvectors (new coordinate axes)is not clear. Moreover, we also need at least two or three two-dimensional projection diagrames to evaluate the data configuration in a high-dimensional space. Therefore, two other inultivariate statistical techniques, varimax rotation and nonlinear mapping, are applied for this purpos in this paper.The varimax method of orthogonal rotation can make the factors intuitively meaningful as possible without affecting the validity of the model. The nonlinear mapping can project the date points from a high-dimensional space onto a two-dimensional plane and preserve the inherent geometric structure of the date so that the configuration in a high-dimensional space can castly be evaluated by direct observation. The research results applied above tow methods show that the date structure of oceanic basalts in a Sr-Nd-Pb isotopic multispace is a quinquangular frame with five end-members whith corresponds to the Atlantic MORB(DAIM), St. Helena(HIM U), Walvis(EMI),Samoa(EMII),and DS(EMIII). The EMIII component recognized in this paper may be an old lower crust materials with more abundant radiogenic Pb,which have been recycled into the mantle. Genesis of the HIMU component and major mantle processes which affect on mantle heterogeneity is also discussed in this paper. |
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| Keywords: | Mentle heterogeneity Mid-ocean ridge basalt Sr isotope Nd isotope Pb isotope Multivariante statistics |
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