Mathematic Background
q I don’t want to go through the mathematical details of EOF
analysis. Only some basic concepts are described in the
following few slids.
q Through mathematic derivations, we can show that the
empirical orthogonal functions (EOFs) of a time series Z(x,
y, t) are the eigenvectors of the covarinace matrix of the
time series.
q The eigenvalues of the covariance matrix tells you the
fraction of variance explained by each individual EOF.