马氏距离法在东昆仑东段多元异常圈定中的对比试验  

The application of Mahalanobis distance to the delineation of multivariate outliers in the East Kunlun Mountains

作　　者：耿国帅 杨帆 GENG Guo-Shuai;YANG Fan(School of Earth Sciences and Resources,China University of Geosciences,Beijing 100083,China;Geophysical Survey Center,China Geological Survey,Langfang 065000,China;Beijing Institute of Geology for Mineral Resources,Beijing 100012,China;Research Center of Geochemical Survey and Assessment on Land Quality,China Geological Survey,Langfang 065000,China)

机构地区：[1]中国地质大学(北京)地球科学与资源学院,北京100083 [2]中国地质调查局地球物理调查中心,河北廊坊065000 [3]北京矿产地质研究院,北京100012 [4]中国地质调查局土地质量地球化学调查评价研究中心,河北廊坊065000

出　　处：《物探与化探》2021年第2期440-449,共10页Geophysical and Geochemical Exploration

基　　金：中国地质调查局地质调查项目(DD20208001、DD20190522、DD20190527);中央科研院所基本科研业务专项项目(AS2020Y06、AS2020J06)。

摘　　要：马氏距离是一种多元异常识别方法,目前已有多种基于马氏距离的异常识别方法。笔者选择青海省东昆仑东段1∶50万水系沉积物测量数据,对比常规马氏距离、基于最小方差行列式(FMCD)的稳健马氏距离、基于校正的最小方差行列式的稳健马氏距离(Adaptive)和基于协中值的稳健马氏距离(Comedian)4种方法在识别Cu、Co、Cr、Ni、V、Fe,Cd、Cu、Mo、Pb、Zn、Ag和Au、As、Sb三种组合异常中的应用效果。结果显示,基于Comedian方法识别的异常效果最好,而常规方法识别的异常效果最差,因此Comedian方法是该区最有效的多元异常识别方法。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∶500000 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.

关 键 词：马氏距离 常规方法 FMCD方法 Adaptive方法 Comedian方法 异常圈定 东昆仑 

分 类 号：P632[天文地球—地质矿产勘探]