eof analysis means of examining variations in beach profiles in a compact fashion describes data...
Post on 21-Dec-2015
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EOF ANALYSIS
•Means of examining variations in beach profiles in a compact fashion
•Describes data variability in terms of orthogonal functions or statistical modes
•No direct physical or mathematical relationship necessarily exists between EOFs and actual processes
EOF ANALYSIS
Eigenfunctions found from
Total variance is
Importance of each ordered eigenfunction is found from
nmni eAe Where A is the data correlation matrix normalized by the dimensions of the data,e are eigenvectors and λ’s are eigenvalues (a standard eigenvalue problem)
I
ii
N
nnk
K
k
CIK 11
2
1
2 1
Where C are the coefficients, I and K are dimensions of the data matrix and σ2 is the variance squared
I
ii
i
1
explained variance%