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EOF ANALYSIS

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.

benjamin-bird
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EOF ANALYSIS

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  1. 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

  2. EOF ANALYSIS Eigenfunctions found from 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) Total variance is Where C are the coefficients, I and K are dimensions of the data matrix and σ2 is the variance squared Importance of each ordered eigenfunction is found from

  3. EOF ANALYSIS BY WINANT ET AL From Dean and Dalrymple; original source, Winant et al, 1975, JGR.

  4. EXAMPLE AT DUCK, NC; SEPT/OCT, 1994 Data provided by the FRF and gridded by Nathaniel Plant

  5. EXAMPLE AT DUCK, NC; SEPT/OCT, 1994 Data provided by the FRF and gridded by Nathaniel Plant

  6. PERFORM EOF ANALYSIS ON DUCK DATA 2nd eigenfunction λ1 ~ 99.9 % λ2 ~ 0.08 % λ3 ~ 0.008 % 3rd eigenfunction 10 -109.5 Temporal Variation in Coefficients 5 -110 0 -110.5 -5 1st 2nd 3rd

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