11. METplus Statistics & Diagnostics

11.1. Statistics Database

11.1.1. Statistics List A-B

Statistics List A-B

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Accuracy

ACC

Categorical

Point-Stat
Grid-Stat
MODE

CTS
MCTS
NBRCTS
MODE cts

Asymptotic
Fractions Skill Score

AFSS

Neighborhood

Grid-Stat

NBRCNT

Along track error (nm)

ALTK_ERR

Continuous

TC-Pairs
TC-Stat

TCMPR
TCST

Anomaly Correlation
including mean error

ANOM_CORR

Continuous

Point-Stat
Grid-Stat
Series-Analysis
Stat-Analysis

CNT

Uncentered Anomaly
Correlation excluding mean
error

ANOM_CORR
_UNCNTR

Continuous

Point-Stat
Grid-Stat
Series-Analysis
Stat-Analysis

CNT

Baddeley’s Delta Metric

BADDELEY

Distance Map

Grid-Stat

DMAP

Bias Adjusted Gilbert
Skill Score

BAGSS

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

Base Rate

BASER

Categorical

Point-Stat
Grid-Stat
Wavelet-Stat
MODE

CTS
ECLV
MODE cts
NBRCTCS
PSTD
PJC

Bias-corrected mean
squared error

BCMSE

Continuous

Point-Stat
Grid-Stat
Ensemble-Stat

CNT
SSVAR

Brier Score

BRIER

Probability

Point-Stat
Grid-Stat

PSTD

Climatological Brier Score

BRIERCL

Probability

Point-Stat
Grid-Stat

PSTD

Brier Skill Score relative
to sample climatology

BSS

Probability

Point-Stat
Grid-Stat

PSTD

Brier Skill Score relative
to external climatology

BSS_SMPL

Probability

Point-Stat
Grid-Stat

PSTD

11.1.2. Statistics List C-E

Statistics List C-E

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Calibration when forecast
is between the ith and
i+1th probability
thresholds (repeated)

CALIBRATION
_i

Probability

Point-Stat
Grid-Stat

PJC

Climatological mean value

CLIMO_MEAN

Continuous

Point-Stat
Grid-Stat
Ensemble-Stat

MPR
ORANK

Climatological standard
deviation value

CLIMO_STDEV

Continuous

Point-Stat
Grid-Stat
Ensemble-Stat

MPR
ORANK

Continuous Ranked
Probability Score
(normal dist.)

CRPS

Ensemble

Ensemble-Stat

ECNT

Continuous Ranked
Probability Score
(empirical dist.)

CRPS_EMP

Ensemble

Ensemble-Stat

ECNT

Climatological Continuous
Ranked Probability Score
(normal dist.)

CRPSCL

Ensemble

Ensemble-Stat

ECNT

Climatological Continuous
Ranked Probability Score
(empirical dist.)

CRPSCL_EMP

Ensemble

Ensemble-Stat

ECNT

Continuous Ranked
Probability Skill Score
(normal dist.)

CRPSS

Ensemble

Ensemble-Stat

ECNT

Continuous Ranked
Probability Skill Score
(empirical dist.)

CRPSS_EMP

Ensemble

Ensemble-Stat

ECNT

Cross track error (nm)

CRTK_ERR

Continuous

TC-Pairs
TC-Stat

TCMPR
TCST

Critical Success Index

CSI

Categorical

Point-Stat
MODE cts
Grid-Stat

CTS
MODE
MBRCTCS

Absolute value of
DIR_ERR (see below)

DIR_ABSERR

Continuous

Point-Stat
Grid-Stat

VCNT

Signed angle between
the directions of the
average forecast and
observed wind vectors

DIR_ERR

Continuous

Point-Stat
Grid-Stat

VCNT

Expected correct rate
used for MCTS HSS_EC

EC_VALUE

Categorical

Point-Stat
Grid-Stat

MCTC

Extreme Dependency Index

EDI

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

Extreme Dependency Score

EDS

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

Mean of absolute value
of forecast minus
observed gradients

EGBAR

Continuous

Grid-Stat

GRAD

The unperturbed
ensemble mean value

ENS_MEAN

Ensemble

Ensemble-Stat

ORANK

The PERTURBED ensemble
mean (e.g. with
Observation Error).

ENS_MEAN
_OERR

Ensemble

Ensemble-Stat

ORANK

Standard deviation of
the error

ESTDEV

Continuous

Point-Stat
Grid-Stat
Ensemble-Stat

CNT
SSVAR

11.1.3. Statistics List F

Statistics List F

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Forecast rate/event
frequency

F_RATE

Categorical

Point-Stat
Grid-Stat

FHO
NBRCNT

Mean forecast wind speed

F_SPEED
_BAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Mean Forecast Anomaly

FABAR

Continuous

Point-Stat
Grid-Stat

SAL1L2

False alarm ratio

FAR

Categorical

Point-Stat
Grid-Stat
MODE

CTS
MODE
NBRCTCS

Forecast mean

FBAR

Categorical

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
CNT
SL1L2
VCNT

Length (speed) of the
average forecast
wind vector

FBAR
_SPEED

Continuous

Point-Stat
Grid-Stat

VCNT

Frequency Bias

FBIAS

Categorical

Wavelet-Stat
MODE
Point-Stat
Grid-Stat

ISC
MODE
CTS
NBRCTCS
DMAP

Fractions Brier Score

FBS

Continuous

Grid-Stat

NBRCNT

Direction of the average
forecast wind vector

FDIR

Continuous

Point-Stat
Grid-Stat

VCNT

Mean Forecast Anomaly Squared

FFABAR

Continuous

Point-Stat
Grid-Stat

SAL1L2

Average of forecast
squared.

FFBAR

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
SL1L2

Count of events in
forecast category i and
observation category j

Fi_Oj

Categorical

Point-Stat
Grid-Stat

MCTC

Forecast mean

FMEAN

Continuous

MODE
Grid-Stat
Point-Stat

MODE
NBRCTCS
CTS

Number of forecast no
and observation no

FN_ON

Categorical

MODE
Grid-Stat
Point-Stat

MODE
NBRCTC
CTC

Number of forecast no
and observation yes

FN_OY

Categorical

MODE
Grid-Stat
Point-Stat

MODE
NBRCTC
CTC

Attributes for pairs of
simple forecast and
observation objects

FNNN_ONNN

Categorical

MODE

MODE obj

Average product of
forecast-climo and
observation-climo
/ Mean(f-c)*(o-c)

FOABAR

Continuous

Point-Stat
Grid-Stat

SAL1L2

Average product of
forecast and observation
/ Mean(f*o)

FOBAR

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
SL1L2

Number of tied forecast
ranks used in computing
Kendall’s tau statistic

FRANK_TIES

Continuous

Point-Stat
Grid-Stat

CNT

Root mean square forecast
wind speed

FS_RMS

Continuous

Point-Stat
Grid-Stat

VCNT

Fractions Skill Score

FSS

Neighborhood

Grid-Stat

NBRCNT

Standard deviation of the
error

FSTDEV

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
CNT
VCNT

Number of forecast events

FY

Categorical

Grid-Stat

DMAP

Number of forecast yes
and observation no

FY_ON

Categorical

MODE
Point-Stat
Grid-Stat

MODE
CTC
NBRCTC

Number of forecast yes
and observation yes

FY_OY

Categorical

MODE
Point-Stat
Grid-Stat

MODE
CTC
NBRCTC

11.1.4. Statistics List G-M

Statistics List G-M

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Gerrity Score and
bootstrap confidence limits

GER

Categorical

Point-Stat
Grid-Stat

MCTS

Gilbert Skill Score

GSS

Categorical

Point-Stat
Grid-Stat
MODE

CTS
NBRCTCS
MODE

Hit rate

H_RATE

Categorical

Point-Stat
Grid-Stat

FHO

Hanssen and Kuipers
Discriminant

HK

Categorical

MODE
Point-Stat
Grid-Stat

MODE cts
MCTS
CTS
NBRCTS

Heidke Skill Score

HSS

Categorical

MODE
Point-Stat
Grid-Stat

MODE cts
MCTS
CTS
NBRCTS

Heidke Skill Score
user-specific expected
correct

HSS_EC

Categorical

Point-Stat
Grid-Stat

MCTS

Ignorance Score

IGN

Ensemble

Ensemble-Stat

ECNT

Interquartile Range

IQR

Continuous

Point-Stat
Grid-Stat

CNT

Kendall’s tau statistic

KT_CORR

Continuous

Point-Stat
Grid-Stat

CNT

Likelihood when forecast
is between the ith and
i+1th probability
thresholds repeated

LIKELIHOOD
_i

Probability

Point-Stat
Grid-Stat

PJC

Logarithm of the Odds Ratio

LODDS

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

The Median Absolute
Deviation

MAD

Continuous

Point-Stat
Grid-Stat

CNT

Mean absolute error

MAE

Continuous

Point-Stat
Grid-Stat

CNT
SAL1L2
SL1L2

Magnitude &
Multiplicative bias

MBIAS

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
CNT

The Mean Error

ME

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

ECNT
SSVAR
CNT

The Mean Error of the
PERTURBED ensemble mean

ME_OERR

Continuous

Ensemble-Stat

ECNT

The square of the
mean error (bias)

ME2

Continuous

Point-Stat
Grid-Stat

CNT

Mean-error Distance from
observation to forecast

MED_FO

Distance

Grid-Stat

DMAP

Maximum of MED_FO
and MED_OF

MED_MAX

Distance

Grid-Stat

DMAP

Mean of MED_FO
and MED_OF

MED_MEAN

Distance

Grid-Stat

DMAP

Minimum of MED_FO
and MED_OF

MED_MIN

Distance

Grid-Stat

DMAP

Mean-error Distance from
forecast to observation

MED_OF

Distance

Grid-Stat

DMAP

Mean squared error

MSE

Continuous

Ensemble-Stat
Wavelet-Stat
Point-Stat
Grid-Stat

SSVAR
ISC
CNT

The mean squared error
skill

MSESS

Continuous

Point-Stat
Grid-Stat

CNT

Mean squared length of
the vector difference
between the forecast
and observed winds

MSVE

Continuous

Point-Stat
Grid-Stat

VCNT

11.1.5. Statistics List N-O

Statistics List N-O

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Dimension of the
contingency table & the
total number of
categories in each
dimension

N_CAT

Categorical

Point-Stat
Grid-Stat

MCTC
MCTS

Observation rate

O_RATE

Categorical

Point-Stat
Grid-Stat

NBRCNT
FHO

Mean observed wind speed

O_SPEED_BAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Mean Observation Anomaly

OABAR

Continuous

Point-Stat
Grid-Stat

SAL1L2

Average observed value

OBAR

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat
.

SSVAR
CNT
SL1L2
VCNT

Length (speed) of the
average observed wind
vector

OBAR_SPEED

Continuous

Point-Stat
Grid-Stat

VCNT

Odds Ratio

ODDS

Categorical

MODE
Point-Stat
Grid-Stat

MODE
CTS
NBRCTS

Direction of the average
observed wind vector

ODIR

Continuous

Point-Stat
Grid-Stat

VCNT

Number of observation
when forecast is between
the ith and i+1th
probability thresholds

ON_i

Probability

Point-Stat
Grid-Stat

PTC

Number of observation
when forecast is between
the ith and i+1th
probability thresholds

ON_TP_i

Probability

Point-Stat
Grid-Stat

PJC

Mean Squared
Observation Anomaly

OOABAR

Continuous

Point-Stat
Grid-Stat

SAL1L2

Average of observation
squared

OOBAR

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
SL1L2

Number of tied observation
ranks used in computing
Kendall’s tau statistic

ORANK_TIES

Continuous

Point-Stat
Grid-Stat

CNT

Odds Ratio Skill Score

ORSS

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

Root mean square observed
wind speed

OS_RMS

Continuous

Point-Stat
Grid-Stat

VCNT

Standard deviation
of observations

OSTDEV

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
CNT
VCNT

Number of observation
events

OY

Categorical

Grid-Stat

DMAP

Number of observation yes
when forecast is between
the ith and i+1th
probability thresholds

OY_i

Probability

Point-Stat
Grid-Stat

PTC

Number of observation yes
when forecast is between
the ith and i+1th
probability thresholds
as a proportion of the
total OY (repeated)

OY_TP_i

Probability

Point-Stat
Grid-Stat

PJC

11.1.6. Statistics List P-R

Statistics List P-R

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Probability Integral
Transform

PIT

Ensemble

Ensemble-Stat

ORANK

Probability of false
detection

PODF

Categorical

Point-Stat
Grid-Stat

CTS

Probability of detecting no

PODN

Categorical

Point-Stat
Grid-Stat
MODE

CTS
NBRCTCS
MODE

Probability of detecting
yes

PODY

Categorical

Point-Stat
Grid-Stat
MODE

CTS
NBRCTCS
MODE

Probability of detecting
yes when forecast is
greater than the ith
probability thresholds

PODY_i

Categorical

Point-Stat
Grid-Stat

PRC

Probability of false
detection

POFD

Categorical

MODE
Grid-Stat

MODE
NBRCTCS

Probability of false
detection when forecast is
greater than the ith
probability thresholds

POFD_i

Categorical

Point-Stat
Grid-Stat

PRC

Pearson correlation
coefficient

PR_CORR

Continuous

Ensemble-Stat
Point-Stat
Grid-Stat

SSVAR
CNT

Rank of the observation

RANK

Ensemble

Ensemble-Stat

ORANK

Count of observations
with the i-th rank

RANK_i

Ensemble

Ensemble-Stat

RHIST

Number of ranks used in
computing Kendall’s tau
statistic

RANKS

Continuous

Point-Stat
Grid-Stat

CNT

Refinement when forecast
is between the ith and
i+1th probability
thresholds (repeated)

REFINEMENT
_i

Probability

Point-Stat
Grid-Stat

PJC

Reliability

RELIABILITY

Probability

Point-Stat
Grid-Stat

PSTD

Number of times the i-th
ensemble member’s value
was closest to the
observation (repeated).
When n members tie,
1/n is assigned to each
member.

RELP_i

Ensemble

Ensemble-Stat

RELP

Resolution

RESOLUTION

Probability

Point-Stat
Grid-Stat

PSTD

Root mean squared error

RMSE

Continuous

Point-Stat
Grid-Stat
Ensemble-Stat

CNT
ECNT
SSVAR

Root Mean Square Error
of the PERTURBED
ensemble mean

RMSE_OERR

Continuous

Ensemble-Stat

ECNT

Root mean squared forecast
anomaly

RMSFA

Continuous

Point-Stat
Grid-Stat

CNT

Root mean squared
observation anomaly

RMSOA

Continuous

Point-Stat
Grid-Stat

CNT

Square root of MSVE

RMSVE

Continuous

Point-Stat
Grid-Stat

VCNT

Area under the receiver
operating characteristic
curve

ROC_AUC

Probability

Point-Stat
Grid-Stat

PSTD

Mean of the Brier Scores
for each RPS threshold

RPS

Ensemble

Ensemble-Stat

RPS

Mean of the reliabilities
for each RPS threshold

RPS_REL

Ensemble

Ensemble-Stat

RPS

Mean of the resolutions
for each RPS threshold

RPS_RES

Ensemble

Ensemble-Stat

RPS

Mean of the uncertainties
for each RPS threshold

RPS_UNC

Ensemble

Ensemble-Stat

RPS

Ranked Probability Skill
Score relative to external
climatology

RPSS

Ensemble

Ensemble-Stat

RPS

Ranked Probability Skill
Score relative to sample
climatology

RPSS_SMPL

Ensemble

Ensemble-Stat

RPS

11.1.7. Statistics List S-T

Statistics List S-T

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

S1 score

S1

Continuous

Grid-Stat

GRAD

S1 score with respect to
observed gradient

S1_OG

Continuous

Grid-Stat

GRAD

Symmetric Extremal
Dependency Index

SEDI

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

Symmetric Extreme
Dependency Score

SEDS

Categorical

Point-Stat
Grid-Stat

CTS
NBRCTS

Scatter Index

SI

Continuous

Point-Stat
Grid-Stat

CNT

Spearman’s rank
correlation coefficient

SP_CORR

Continuous

Point-Stat
Grid-Stat

CNT

Absolute value of SPEED_ERR

SPEED
_ABSERR

Continuous

Point-Stat
Grid-Stat

VCNT

Difference between the
length of the average
forecast wind vector and
the average observed wind
vector (in the sense F - O)

SPEED_ERR

Continuous

Point-Stat
Grid-Stat

VCNT

Standard deviation
of the mean of the
UNPERTURBED ensemble

SPREAD

Ensemble

Ensemble-Stat

ECNT
ORANK

Standard deviation
of the mean of the
PERTURBED ensemble

SPREAD_OERR

Ensemble

Ensemble-Stat

ECNT
ORANK

Standard Deviation
of unperturbed ensemble
variance and the
observation error variance

SPREAD_PLUS
_OERR

Ensemble

Ensemble-Stat

ECNT
ORANK

Track error of adeck
relative to bdeck (nm)

TK_ERR

Continuous

TC-Pairs

PROBRIRW

Track error of adeck
relative to bdeck (nm)

TK_ERR

Continuous

TC-Pairs

TCMPR

11.1.8. Statistics List U-Z

Statistics List U-Z

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Mean U-component
Forecast Anomaly

UFABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean U-component

UFBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Uniform Fractions Skill
Score

UFSS

Neighborhood

Grid-Stat

NBRCNT

Variability of
Observations

UNCERTAINTY

Probability

Point-Stat
Grid-Stat

PSTD

Mean U-component
Observation Anomaly

UOABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean U-component
Observation

UOBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Mean U-component
Squared
Forecast Anomaly
plus Squared
Observation
Anomaly

UVFFABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean U-component
Squared
Forecast
plus Squared
Observation

UVFFBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Mean((uf-uc)*(uo-uc)+
(vf-vc)*(vo-vc))

UVFOABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean(uf*uo+vf*vo)

UVFOBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Mean((uo-uc)²+(vo-vc)²)

UVOOABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean(uo²+vo²)

UVOOBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Economic value of the
base rate

VALUE_BASER

Probability

Point-Stat
Grid-Stat

ECLV

Relative value for the
ith Cost/Loss ratio

VALUE_i

Probability

Point-Stat
Grid-Stat

ECLV

Maximum variance

VAR_MAX

Ensemble

Ensemble-Stat

SSVAR

Average variance

VAR_MEAN

Ensemble

Ensemble-Stat

SSVAR

Minimum variance

VAR_MIN

Ensemble

Ensemble-Stat

SSVAR

Direction of the vector
difference between the
average forecast and
average wind vectors

VDIFF_DIR

Continuous

Point-Stat
Grid-Stat

VCNT

Length (speed) of the
vector difference between
the average forecast and
average observed wind
vectors

VDIFF_SPEED

Continuous

Point-Stat
Grid-Stat

VCNT

Mean(vf-vc)

VFABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean(vf)

VFBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

Mean(vo-vc)

VOABAR

Continuous

Point-Stat
Grid-Stat

VAL1L2

Mean(vo)

VOBAR

Continuous

Point-Stat
Grid-Stat

VL1L2

11.2. Diagnostics Database

11.2.1. Diagnostics List A-B

Diagnostics List A-B

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Difference between the axis
angles of two objects (in degrees)

ANGLE_DIFF

Diagnostic

MODE

MODE

Object area (in grid squares)

AREA

Diagnostic

MODE
MTD

MODE obj

Forecast object area
divided by the observation
object area (unitless)

AREA_RATIO

Diagnostic

MODE

MODE obj

Area of the object
that meet the object
definition threshold
criteria (in grid squares)

AREA_THRESH

Diagnostic

MODE

MODE obj

Absolute value of
the difference
between the aspect
ratios of two objects
(unitless)

ASPECT_DIFF

Diagnostic

MODE

MODE obj

Object axis angle
(in degrees)

AXIS_ANG

Diagnostic

MODE
MTD

MTD obj

Difference in spatial
axis plane angles

AXIS_DIFF

Diagnostic

MTD

MTD obj

Blocking Index

Blocking
Index

Diagnostic

METplus Use
Case

n/a

Minimum distance between
the boundaries of two objects

BOUNDARY
_DIST

Diagnostic

MODE

MODE obj

11.2.2. Diagnostics List C-E

Diagnostics List C-E

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Total great circle distance
travelled by the 2D spatial
centroid over the lifetime
of the 3D object

CDIST
_TRAVELLED

Diagnostic

MTD

MTD 3D obj

Distance between two
objects centroids
(in grid units)

CENTROID
_DIST

Diagnostic

MODE

MODE obj

Latitude of centroid

CENTROID
_LAT

Diagnostic

MTD
MODE

MTD 2D & 3D obj
MODE obj

Longitude of centroid

CENTROID
_LON

Diagnostic

MTD
MODE

MTD 2D & 3D obj
MODE obj

Time coordinate of centroid

CENTROID_T

Diagnostic

MTD

MTD 3D obj

X coordinate of centroid

CENTROID_X

Diagnostic

MTD
MODE

MTD 2D & 3D obj
MODE obj

Y coordinate of centroid

CENTROID_Y

Diagnostic

MTD
MODE

MTD 2D & 3D obj
MODE obj

Space-Time
Coherence Diagram

Coherence
Diagram

Diagnostic

METplus
Use Case

n/a

Ratio of the difference
between the area of an
object and the area of
its convex hull divided
by the area of the
complex hull (unitless)

COMPLEXITY

Diagnostic

MODE

MODE obj

Ratio of complexities of
two objects defined as
the lesser of the forecast
complexity divided by the
observation complexity or
its reciprocal (unitless)

COMPLEXITY
_RATIO

Diagnostic

MODE

MODE obj

Minimum distance between
the convex hulls of two
objects (in grid units)

CONVEX_HULL
_DIST

Diagnostic

MODE

MODE obj

Radius of curvature

CURVATURE

Diagnostic

MODE

MODE obj

Ratio of the curvature

CURVATURE
_RATIO

Diagnostic

MODE

MODE obj

Center of curvature
(in grid coordinates)

CURVATURE
_X

Diagnostic

MODE

MODE obj

Center of curvature
(in grid coordinates)

CURVATURE
_Y

Diagnostic

MODE

MODE obj

Cloud Water /
Precip Relationship

CW/Precip
Relationship

Diagnostic

Grid-Diag

n/a

Difference in object
direction of movement

DIRECTION
_DIFF

Diagnostic

MTD

MTD 3D obj

Difference in the
lifetimes of the
two objects

DURATION
_DIFF

Diagnostic

MTD

MTD 3D obj

Object end time

END_TIME

Diagnostic

MTD

MTD 3D obj

Difference in object
ending time steps

END_TIME
_DELTA

Diagnostic

MTD

MTD 3D obj

11.2.3. Diagnostics List F

Diagnostics List F

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Number of forecast
clusters

FCST_CLUS

Diagnostic

MODE

MODE obj

Number of points used to
define the hull of all
of the cluster forecast
objects

FCST_CLUS
_HULL

Diagnostic

MODE

MODE obj

Forecast Cluster Convex
Hull Point Latitude

FCST_CLUS
_HULL_LAT

Diagnostic

MODE

MODE obj

Forecast Cluster Convex
Hull Point Longitude

FCST_CLUS
_HULL _LON

Diagnostic

MODE

MODE obj

Number of Forecast
Cluster Convex Hull Points

FCST_CLUS
_HULL_NPTS

Diagnostic

MODE

MODE obj

Forecast Cluster Convex
Hull Starting Index

FCST_CLUS
_HULL_START

Diagnostic

MODE

MODE obj

Forecast Cluster Convex
Hull Point X-Coordinate

FCST_CLUS
_HULL_X

Diagnostic

MODE

MODE obj

Forecast Cluster Convex
Hull Point Y-Coordinate

FCST_CLUS
_HULL_Y

Diagnostic

MODE

MODE obj

Forecast Object Raw
Values

FCST_OBJ
_RAW

Diagnostic

MODE

MODE obj

Number of simple
forecast objects

FCST_SIMP

Diagnostic

MODE

MODE obj

Number of points used
to define the boundaries
of all of the simple
forecast objects

FCST_SIMP
_BDY

Diagnostic

MODE

MODE obj

Forecast Simple
Boundary Latitude

FCST_SIMP
_BDY_LAT

Diagnostic

MODE

MODE obj

Forecast Simple
Boundary Longitude

FCST_SIMP
_BDY_LON

Diagnostic

MODE

MODE obj

Number of Forecast
Simple Boundary Points

FCST_SIMP
_BDY_NPTS

Diagnostic

MODE

MODE obj

Forecast Simple
Boundary Starting Index

FCST_SIMP
_BDY_START

Diagnostic

MODE

MODE obj

Forecast Simple
Boundary X-Coordinate

FCST_SIMP
_BDY_X

Diagnostic

MODE

MODE obj

Forecast Simple
Boundary Y-Coordinate

FCST_SIMP
_BDY_Y

Diagnostic

MODE

MODE obj

Number of points used to
define the hull of all
of the simple forecast
objects

FCST_SIMP
_HULL

Diagnostic

MODE

MODE obj

Forecast Simple Convex
Hull Point Latitude

FCST_SIMP
_HULL_LAT

Diagnostic

MODE

MODE obj

Forecast Simple Convex
Hull Point Longitude

FCST_SIMP
_HULL_LON

Diagnostic

MODE

MODE obj

Number of Forecast
Simple Convex Hull Points

FCST_SIMP
_HULL_NPTS

Diagnostic

MODE

MODE obj

Forecast Simple Convex
Hull Starting Index

FCST_SIMP
_HULL_START

Diagnostic

MODE

MODE obj

Forecast Simple Convex
Hull Point X-Coordinate

FCST_SIMP
_HULL_X

Diagnostic

MODE

MODE obj

Forecast Simple Convex
Hull Point Y-Coordinate

FCST_SIMP
_HULL_Y

Diagnostic

MODE

MODE obj

Number of thresholds
applied to the forecast

FCST
_THRESH
_LENGTH

Diagnostic

MODE

MODE obj

Number of thresholds
applied to the forecast

FCST_THRESH
_LENGTH

Diagnostic

MODE

MODE obj

Forecast energy squared
for this scale

FENERGY

Wavelet-Stat

ISC

Mean of absolute value
of forecast gradients

FGBAR

Grid-Stat

GRAD

Ratio of forecast and
observed gradients

FGOG_RATIO

Grid-Stat

GRAD

Pratt’s Figure of Merit
from observation to
forecast

FOM_FO

Diagnostic

Grid-Stat

DMAP

Maximum of FOM_FO
and FOM_OF

FOM_MAX

Diagnostic

Grid-Stat

DMAP

Mean of FOM_FO
and FOM_OF

FOM_MEAN

Diagnostic

Grid-Stat

DMAP

Minimum of FOM_FO
and FOM_OF

FOM_MIN

Diagnostic

Grid-Stat

DMAP

Pratt’s Figure of Merit
from forecast to
observation

FOM_OF

Diagnostic

Grid-Stat

DMAP

11.2.4. Diagnostics List G-L

Diagnostics List G-L

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Distance between the
forecast and Best track
genesis events (km)

GEN_DIST

Diagnostic

TC-Gen

GENMPR

Forecast minus Best track
genesis time in HHMMSS
format

GEN_TDIFF

Diagnostic

TC-Gen

GENMPR

Hausdorff Distance

HAUSDORFF

Diagnostic

Grid-Stat

DMAP

Hovmoeller Diagram

Hovmoeller

Diagnostic

METplus
Use Case

n/a

Best track genesis minus
forecast initialization
time in HHMMSS format

INIT_TDIFF

Diagnostic

TC-Gen

GENMPR

10th, 25th, 50th, 75th,
90th, and user-specified
percentiles of
intensity of the raw
field within the
object or time slice

INTENSITY
_10, _25,
_50, _75,
_90, _NN

Diagnostic

MODE

MODE obj

Sum of the intensities of
the raw field within the
object (variable units)

INTENSITY
_SUM

Diagnostic

MODE

MODE obj

Total interest for this
object pair

INTEREST

Diagnostic

MTD
MODE

MTD 3D obj
MODE obj

Intersection area of two
objects (in grid squares)

INTERSECT
ION_AREA

Diagnostic

MODE

MODE obj

Ratio of intersection area
to the lesser of the
forecast and observation
object areas (unitless)

INTERSECT
ION_OVER
_AREA

Diagnostic

MODE

MODE obj

“Volume” of object
intersection

INTERSECT
ION_VOLUME

Diagnostic

MTD

MTD 3D obj

The intensity scale
skill score

ISC

Wavelet-Stat

ISC

The scale at which all
information following
applies

ISCALE

Wavelet-Stat

ISC

Joint Probability
Distribution between
variable

Joint PDF
to Diagnose
Relationship

Diagnostic

Grid-Diag

n/a

Dimension of the latitude

LAT

Diagnostic

MODE

MODE obj

Length of the
enclosing rectangle

LENGTH

Diagnostic

MODE

MODE obj

Dimension of the longitude

LON

Diagnostic

MODE

MODE obj

11.2.5. Diagnostics List M-O

Diagnostics List M-O

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Meridional Means

Meridional Means

Diagnostic

METplus Use Case

n/a

Mean of maximum of
absolute values of
forecast and observed
gradients

MGBAR

Grid-Stat

GRAD

Number of cluster objects

N_CLUS

Diagnostic

MODE

MODE obj

Number of simple
forecast objects

N_FCST_SIMP

Diagnostic

MODE

MODE obj

Number of simple
observation objects

N_OBS_SIMP

Diagnostic

MODE

MODE obj

Number of observed
clusters

OBS_CLUS

Diagnostic

MODE

MODE obj

Number of points used to
define the hull of all of
the cluster observation
objects

OBS_CLUS
_HULL

Diagnostic

MODE

MODE obj

Observation Cluster Convex
Hull Point Latitude

OBS_CLUS
_HULL_LAT

Diagnostic

MODE

MODE obj

Observation Cluster Convex
Hull Point Longitude

OBS_CLUS
_HULL_LON

Diagnostic

MODE

MODE obj

Number of Observation
Cluster Convex Hull Points

OBS_CLUS
_HULL_NPTS

Diagnostic

MODE

MODE obj

Observation Cluster Convex
Hull Starting Index

OBS_CLUS
_HULL_START

Diagnostic

MODE

MODE obj

Observation Cluster Convex
Hull Point X-Coordinate

OBS_CLUS
_HULL_X

Diagnostic

MODE

MODE obj

Observation Cluster Convex
Hull Point Y-Coordinate

OBS_CLUS
_HULL_Y

Diagnostic

MODE

MODE obj

Number of simple
observation objects

OBS_SIMP

Diagnostic

MODE

MODE obj

Number of points used
to define the boundaries
of the simple observation
objects

OBS_SIMP
_BDY

Diagnostic

MODE

MODE obj

Observation Simple
Boundary Point Latitude

OBS_SIMP
_BDY_LAT

Diagnostic

MODE

MODE obj

Observation Simple
Boundary Point Longitude

OBS_SIMP
_BDY_LON

Diagnostic

MODE

MODE obj

Number of Observation
Simple Boundary Points

OBS_SIMP
_BDY_NPTS

Diagnostic

MODE

MODE obj

Number of points used to
define the hull of the
simple observation objects

OBS_SIMP
_HULL

Diagnostic

MODE

MODE obj

Number of Observation
Simple Convex Hull Points

OBS_SIMP
_HULL_NPTS

Diagnostic

MODE

MODE obj

Observed energy squared
for this scale

OENERGY

Wavelet-Stat

ISC

Mean of absolute value
of observed gradients

OGBAR

Grid-Stat

GRAD

OLR-based MJO Index

OMI

Diagnostic

METplus
Use Case

n/a

11.2.6. Diagnostics List P-Z

Diagnostics List P-Z

Statistics
Long Name

METplus Name

Statistic Type

Tools

METplus
Line Type

Ratio of the nth percentile
(INTENSITY_NN column) of
intensity of the two
objects

PERCENTILE
_INTENSITY
_RATIO

Diagnostic

MODE

MODE obj

Phase Diagram
for RMM and OMI

Phase
Diagram

Diagnostic

METplus
Use Case

n/a

Realtime Multivariate
MJO Index

RMM

Diagnostic

METplus
Use Case

n/a

Spatial distance between
\((x,y)\) coordinates of
object spacetime centroid

SPACE
_CENTROID
_DIST

Diagnostic

MTD

MTD 3D obs

Difference in object speeds

SPEED_DELTA

Diagnostic

MTD

MTD 3D obs

Difference in object
starting time steps

START_TIME
_DELTA

Diagnostic

MTD

MTD 3D obj

Symmetric difference of
two objects
(in grid squares)

SYMMETRIC
_DIFF

Diagnostic

MODE

MODE obj

Difference in t index of
object spacetime centroid

TIME
_CENTROID
_DELTA

Diagnostic

MTD

MTD 3D obj

Union area of
two objects
(in grid squares)

UNION_AREA

Diagnostic

MODE

MODE obj

Integer count of the
number of 3D “cells”
in an object

VOLUME

Diagnostic

MTD

MTD 3D obj

Forecast object volume
divided by observation
object volume

VOLUME
_RATIO

Diagnostic

MTD

MTD 3D obj

Weather Regime Index

Weather
Regime Index

Diagnostic

METplus
Use Case

n/a

Width of the enclosing
rectangle (in grid units)

WIDTH

Diagnostic

MODE

MODE obj

X component of
object velocity

X_DOT

Diagnostic

MTD

MTD 3D obj

X component position
error (nm)

X_ERR

Diagnostic

TC-Pairs

PROBRIRW

X component position
error (nm)

X_ERR

Diagnostic

TC-Pairs

TCMPR

y component of
object velocity

Y_DOT

Diagnostic

MTD

MTD 3D obj

Y component position
error (nm)

Y_ERR

Diagnostic

TC-Pairs

PROBRIRW
TCMPR

Zonal Means

Zonal Means

Diagnostic

METplus
Use Case

n/a

Zhu’s Measure from
observation to forecast

ZHU_FO

Diagnostic

Grid-Stat

DMAP

Maximum of ZHU_FO
and ZHU_OF

ZHU_MAX

Diagnostic

Grid-Stat

DMAP

Mean of ZHU_FO
and ZHU_OF

ZHU_MEAN

Diagnostic

Grid-Stat

DMAP

Minimum of ZHU_FO
and ZHU_OF

ZHU_MIN

Diagnostic

Grid-Stat

DMAP

Zhu’s Measure from
forecast to observation

ZHU_OF

Diagnostic

Grid-Stat

DMAP