Potential Errors in the Application of Principal Component (Eigenvector) Analysis to Geophysical Data

1982/08/01 by Thomas R. Karl, Albert J. Koscielny, Henry F. Diaz +1
Physics and Astronomy · Earth and Planetary Sciences · Engineering · #NMR spectroscopy and applications #Seismic Imaging and Inversion Techniques #Hydrocarbon exploration and reservoir analysis

paper · pdf · doi:10.1175/1520-0450(1982)021<1183:peitao>2.0.co;2

Abstract

Principal component (PC) analysis performed on irregularly spaced data can produce distorted loading patterns. We provide an example to demonstrate some distorted patterns which can result from the direct application of PC analysis (or eigenvector analysis, factor analysis, or asymptotic singular decomposition) on irregularly spaced data. The PCs overestimate loadings in areas of dense data. The problem can be avoided by interpolating the irregularly spaced data to a grid which closely approximates equal-area.

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