UVError {SailoR}

Calculation of the elements of the 2D MSE terms

Description

This function calculates the different terms in the 2D MSE equation, the rotation of EOFs and so on for a unique given model. This function is internally used by SailoR.Indices() and external users are not expected to use it.

Usage

UVError(U, V, Ensembles = FALSE)

Arguments

U

a vector including the zonal and meridional components of the reference dataset.

V

a vector including the zonal and meridional components of the model being compared.

Ensembles

if Ensembles is set to TRUE, M different models included in the data frame mod will be taken as a single model and the reference model is repeated M times for the calculation of the Sailor diagram.

Value

The result is a list with a summary of the statistics obtained:

meanU

mean of the U dataset.

meanV

mean of the V dataset.

TotVarU

total variance of the U dataset.

TotVarV

total variance of the V dataset.

Eu

EOF matrix for the U dataset.

Ev

EOF matrix for the V dataset.

Rvu

rotation matrix to express Ev as a rotation from Eu.

Sigmau

matrix with standard deviations of U (2x2 matrix).

Sigmav

matrix with standard deviations of V (2x2 matrix).

sdUx

standard deviation of zonal component (U).

sdUy

standard deviation of meridional component (U).

sdVx

standard deviation of zonal component (V).

sdVy

standard deviation of meridional component (V).

thetau

angle of EOF1 (U) with zonal axis.

thetav

angle of EOF1 (V) with meridional axis.

thetavu

rotation angle from U EOFs to V EOFs.

RMSE

root mean square error between U and V.

R2vec

vector correlation squared in 2D as defined by Breaker, Gemmill and Crossby (1994).

EccentricityU

eccentricity of the ellipses from the reference dataset.

EccentricityV

eccentricity of the ellipses from the model dataset.

congruenceEOF

congruence coefficients (absolute value) for EOFs.

References

L. C. Breaker, W. H. Gemmill, and D. S. Crosby (1994). The application of a technique for vector correlation to problems in meteorology and oceanography. Journal of Applied Meteorology, 33(11), 1354-1365.

See Also

SailoR.Indices

Examples

# No examples are given as external users are not expected to use it