Title
A spatially weighted principal component analysis for multi-element geochemical data for mapping locations of felsic intrusions in the Gejiu mineral district of Yunnan, China
Abstract
Principal component analysis (PCA) is frequently used in geosciences for information extraction. In many applications, masking PCA has been used to create subsets of samples or sub-areas to enhance the effect of the main objects of interest. In this paper we suggest how the representativeness of samples or pixels can be quantified using a fuzzy membership function based on fuzzy set theory. In this new method, the relative importance of pixels or samples can be taken into account using a multivariate statistical method such as PCA. A Fuzzy Masking PCA is proposed and implemented in GeoDAS GIS on the basis of a spatially weighted PCA (SWPCA). This paper introduces the mathematical treatment of the fuzzy masking PCA and follows a case study of identifying the locations of intrusive bodies from geochemical data in the Gejiu mineral district in Yunnan, China. Power-law functions based on the inverse distance from mapped felsic intrusions are applied as weighting functions in FMPCA. The results indicate that fuzzy mask PCA increases the signal-noise ratio of the component representing igneous intrusions and decreases the influence of sedimentary rocks. The areas delineated as potential areas for new intrusions (including buried intrusions) are valuable guides for Sn mineral prospecting.
Year
DOI
Venue
2011
10.1016/j.cageo.2010.11.001
Computers & Geosciences
Keywords
Field
DocType
fuzzy membership,mapping location,felsic intrusion,fuzzy masking pca,multivariate statistical method,multi-element geochemical data,gejiu mineral district,tin mineralization,geochemical data,fuzzy mask,stream sediment samples,fuzzy set theory,masking pca,spatially weighted principal component analysis,new intrusion,spatially weighted pca,spatially weighted principal component,sn mineral prospecting,signal noise ratio,multivariate statistics,power law,principal component analysis,information extraction,weight function
Geographic information system,Weighting,Prospecting,Mineralogy,Multivariate statistics,Fuzzy logic,Fuzzy set,Pixel,Geology,Statistics,Principal component analysis
Journal
Volume
Issue
ISSN
37
5
Computers and Geosciences
Citations 
PageRank 
References 
2
0.56
2
Authors
6
Name
Order
Citations
PageRank
Qiuming Cheng15618.03
Greame Bonham-Carter220.56
Wenlei Wang362.02
Shengyuan Zhang4827.38
Wen-Chang Li561.17
Xia Qinglin620.56