UVError: Calculation of the elements of the 2D MSE terms
In SailoR: An Extension of the Taylor Diagram to Two-Dimensional Vector Data

Description Usage Arguments Value References See Also Examples

View source: R/UVError.R

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.

1	UVError(U, V, Ensembles = FALSE)

`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.

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.

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.

SailoR.Indices