马氏距离法在东昆仑东段多元异常圈定中的对比试验

doi:10.11720/wtyht.2021.1044

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Abstract

Mahalanobis distance is a multivariate outlier detection method. At present, there are many outlier detection methods based on Mahalanobis distance. The purpose of this paper is to compare the advantages/disadvantages of various Mahalanobis distances in identifying multivariate outliers and to select a more suitable method for identifying multivariate anomalies. The authors selected 1∶500 000 stream sediment data in the East Kunlun Mountains of Qinghai Province to compare the effects of four methods: classical Mahalanobis distance, robust Mahalanobis distance based on minimum variance determinant (FMCD), robust mahalanobis distance based on Adaptive minimum variance determinant (Adaptive), and robust mahalanobis distance based on Comedian (Comedian) in identifying Cu, Co, Cr, Ni, V, Fe; Cd, Cu, Mo, Pb, Zn, Ag and three association outliers of Au, As, Sb. The result shows that the Comedian method is the superior, while the classical method is the worst. So Comedian method is the most effective multivariate outlier detection method in this area.

Key words： Mahalanobis distance classical method FMCD method Adaptive method Comedian method outlier delineation East Kunlun Mountains

Received: 06 February 2020 Published: 29 April 2021

ZTFLH:

P632

Corresponding Authors: YANG Fan E-mail: hnsmxggs@163.com;yangfan@igge.cn

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	Guo-Shuai GENG
	Fan YANG

Cite this article:

Guo-Shuai GENG,Fan YANG. The application of Mahalanobis distance to the delineation of multivariate outliers in the East Kunlun Mountains[J]. Geophysical and Geochemical Exploration, 2021, 45(2): 440-449.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2021.1044 OR https://www.wutanyuhuatan.com/EN/Y2021/V45/I2/440

The map of geotectonic units in the study area
1—main structure zone; 2—secondary structure zone; 3—Neoproterozoic-early Paleozoic combined belt subduction direction(one-way subduction with teeth on one side and two-way subduction with teeth on both sides); 4—subduction direction of late Paleozoic and early Mesozoic suture belt; 5—A type subduction zones; 6—high way; 7—location of study area; Ⅰ—Qaidam massif; Ⅱ—East Kunlun orogenic belt; Ⅱ₁—East Kunbei early paleozoic back-arc rife (Kunbei belt); Ⅱ₂—East Kunzhong magmatic arc zone(Kunzhong belt); Ⅱ₃—East-Kunnan tectonomagmatic belt(Kunnan belt); Ⅲ—Bayan Kara orogenic belt (Beiba belt)

Different type of ore deposits in the study area

The comparison of classical and robust mahalanobis distance from three element associations

Statistics of threshold and outliers determined by four methods

Boxplot for elements of standardized data

Multivariate outlier delineation for Co,Cr,Cu,V,Ni and Fe from four mahalanobis diatance methods in study area

Multivariate outlier delineation for Cd,Cu,Mo,Pb,Zn and Ag from four mahalanobis diatance methods in study area

Multivariate outlier delineation for Au,As,Sb from mahalanobis distance methods in study area

Statistics of outlier detection using Adaptive and Comedian methods

Outliers distribution of Co,Cr,Cu,Ni,V,Fe association using Adaptive and Comedian methods

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