SailoR.Indices: Calculation of indices for Sailor Diagram

In SailoR: An Extension of the Taylor Diagram to Two-Dimensional Vector Data

Description

This function returns a data frame with all the statistics used by the Sailor diagram for the set of different models in data frame mod with the reference in data frame ref.

Usage

SailoR.Indices(ref, mod, Ensembles = FALSE)

Arguments

ref	A data frame with the reference observations. It should have 3 columns: name, zonal component and meridional component.
mod	A data frame with the model data. It should have 3 columns: name, zonal component and meridional component. More than one model can be included under different names. Additionally, nrows(mod) must be an integer multiple of nrows(ref).
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 data frame with a summary of the statistics obtained:

meanU	mean of the U dataset.
meanV	mean of the V dataset.
RMSE	root mean square error between U and V.
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).
Eu	EOF matrix for the U dataset.
Ev	EOF matrix for the V dataset.
Sigmau	matrix with standard deviations of U (2x2 matrix).
Sigmav	matrix with standard deviations of V (2x2 matrix).
TotVarU	total variance of the U dataset.
TotVarV	total variance of the V dataset.
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.
R2vec	vector correlation squared in 2D as defined by Breaker, Gemmill and Crossby (1994).
Rvu	rotation matrix to express Ev as a rotation from Eu.
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.

Examples

#--------------------------------------------------------
# Example 1
#--------------------------------------------------------

# Load the ocean current data 
data("Current")
  
# Calculate the indices
ref<-Current[["ref"]]
mod<-Current[["mod"]]

SailoR.Indices(ref, mod)
  

SailoR documentation built on Oct. 23, 2020, 7:46 p.m.