Quick Reference Table

Metrics, Abbreviations, and Functions Quick Reference

This table contains a list of the metrics names, abbreviations, and the name of the functions that are associated with them. It is a good reference when creating tables or plots to be able to see what metrics are available for use and their abbreviation name.

Full Metric Name

Abbreviation

Function Name

Anomaly Correlation Coefficient

ACC

acc

Coefficient of Determination

r2

r_squared

Eclidean Distance

ED

ed

Geometric Mean Difference

GMD

g_mean_diff

Index of Agreement (d)

d

d

Index of Agreement (d1)

d1

d1

Index of Agreement Refined (dr)

dr

dr

Inertial Root Mean Square Error

IRMSE

irmse

Kling-Gupta Efficiency (2009)

KGE (2009)

kge_2009

Kling-Gupta Efficiency (2012)

KGE (2012)

kge_2012

Legate-McCabe Efficiency Index

E1’

lm_index

Legate-McCabe Index of Agreement

D1’

d1_p

Mean Absolute Error

MAE

mae

Mean Absolute H1 Error

H1 (MAHE)

h1_mahe

Mean Absolute H10 Error

H10 (MAHE)

h10_mahe

Mean Absolute H2 Error

H2 (MAHE)

h2_mahe

Mean Absolute H3 Error

H3 (MAHE)

h3_mahe

Mean Absolute H4 Error

H4 (MAHE)

h4_mahe

Mean Absolute H5 Error

H5 (MAHE)

h5_mahe

Mean Absolute H6 Error

H6 (MAHE)

h6_mahe

Mean Absolute H7 Error

H7 (MAHE)

h7_mahe

Mean Absolute H8 Error

H8 (MAHE)

h8_mahe

Mean Absolute Log Error

MALE

male

Mean Absolute Percentage Deviation

MAPD

mapd

Mean Absolute Percentage Error

MAPE

mape

Mean Absolute Scaled Error

MASE

mase

Mean Arctangent Absolute Percentage Error

MAAPE

maape

Mean Error

ME

me

Mean H1 Error

H1 (MHE)

h1_mhe

Mean H10 Error

H10 (MHE)

h10_mhe

Mean H2 Error

H2 (MHE)

h2_mhe

Mean H3 Error

H3 (MHE)

h3_mhe

Mean H4 Error

H4 (MHE)

h4_mhe

Mean H5 Error

H5 (MHE)

h5_mhe

Mean H6 Error

H6 (MHE)

h6_mhe

Mean H7 Error

H7 (MHE)

h7_mhe

Mean H8 Error

H8 (MHE)

h8_mhe

Mean Log Error

MLE

mle

Mean Squared Error

MSE

mse

Mean Squared Log Error

MSLE

msle

Mean Variance

MV

mean_var

Median Absolute Error

MdAE

mdae

Median Error

MdE

mde

Median Squared Error

MdSE

mdse

Mielke-Berry R

(MB) R

mb_r

Modified Index of Agreement

d (Mod.)

dmod

Modified Nash-Sutcliffe Efficiency

NSE (Mod.)

nse_mod

Nash-Sutcliffe Efficiency

NSE

nse

Normalized Eclidean Distance

NED

ned

Normalized Root Mean Square Error - IQR

NRMSE (IQR)

nrmse_iqr

Normalized Root Mean Square Error - Mean

NRMSE (Mean)

nrmse_mean

Normalized Root Mean Square Error - Range

NRMSE (Range)

nrmse_range

Pearson Correlation Coefficient

R (Pearson)

pearson_r

Relative Index of Agreement

d (Rel.)

drel

Relative Nash-Sutcliffe Efficiency

NSE (Rel.)

nse_rel

Root Mean Square Error

RMSE

rmse

Root Mean Square H1 Error

H1 (RMSHE)

h1_rmshe

Root Mean Square H10 Error

H10 (RMSHE)

h10_rmshe

Root Mean Square H2 Error

H2 (RMSHE)

h2_rmshe

Root Mean Square H3 Error

H3 (RMSHE)

h3_rmshe

Root Mean Square H4 Error

H4 (RMSHE)

h4_rmshe

Root Mean Square H5 Error

H5 (RMSHE)

h5_rmshe

Root Mean Square H6 Error

H6 (RMSHE)

h6_rmshe

Root Mean Square H7 Error

H7 (RMSHE)

h7_rmshe

Root Mean Square H8 Error

H8 (RMSHE)

h8_rmshe

Root Mean Squared Log Error

RMSLE

rmsle

Spearman Rank Correlation Coefficient

R (Spearman)

spearman_r

Spectral Angle

SA

sa

Spectral Correlation

SC

sc

Spectral Gradient Angle

SGA

sga

Spectral Information Divergence

SID

sid

Symmetric Mean Absolute Percentage Error (1)

SMAPE1

smape1

Symmetric Mean Absolute Percentage Error (2)

SMAPE2

smape2

Volumetric Efficiency

VE

ve

Watterson’s M

M

watt_m