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There are several ways to present EOFs. The simplest way
is to plot
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the values of EOF itself. This presentation can not tell
you how much
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the real amplitude this EOF represents.
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One way to represent EOF’s amplitude is to take the time series of
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principal components for an EOF, normalize this time
series to unit
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variance, and then regress it against the original data set.
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This map has the shape of the EOF, but the amplitude actually
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corresponds to the amplitude in the real data with which
this structure
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is associated.
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If we have other variables, we can regress them all on
the PC of one
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EOF and show the structure of several variables with the correct
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amplitude relationship, for example, SST and surface vector wind
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fields can both be regressed on PCs of SST.
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