List of Metrics Available

The metrics available within WRES are listed below. They are organized by input data type and output data type. Transformations between data types are possible. For example, an ensemble forecast may be transformed into a single-valued forecast by calculating an ensemble average (e.g., mean). Similarly, a single-valued prediction may be transformed into a dichotomous prediction using an event threshold.

The metric names should be declared in lower case without any hyphens separating words, '-'.

* To calculate the difference between a predicted and baseline dataset for this metric, simply add the word difference to the metric name.

	A	B	C
1	INPUT TYPE (PAIRED VALUES)	METRIC NAME	OUTPUT TYPE
2	SINGLE VALUED	Bias Fraction*	SCORE
3		Coefficient of Determination*
4		Pearson Correlation Coefficient*
5		Index of Agreement*
6		Mean Absolute Error*
7		Mean Error*
8		Median Error*
9		Root Mean Square Error*
10		Root Mean Square Error Normalized*
11		Sum Square Error*
12		Volumetric Efficiency*
13		Sample Size*
14		Kling Gupta Efficiency*
15		Mean Square Error*
16		Mean Square Error Skill Score
17		Quantile-Quantile Diagram	DIAGRAM
18		Box Plot of Errors
19		Box Plot of Percentage Errors
20	SINGLE VALUED TIME-SERIES	Time-To-Peak Error Summary Statistics	SCORE
21		Time-To-Peak Relative Error Summary Statistics
22		Time-To-Peak Error	PAIRED VALUES
23		Time-To-Peak Relative Error
24	DISCRETE PROBABILITY	Brier Score*	SCORE
25		Brier Skill Score
26		Relative Operating Characteristic Score*
27		Reliability Diagram	DIAGRAM
28		Relative Operating Characteristic Diagram
29	DICHOTOMOUS	Critical Success Index*	SCORE
30		Threat Score*
31		Equitable Threat Score*
32		Frequency Bias*
33		Peirce Skill Score*
34		Probability of Detection*
35		Probability of False Detection*
36	MULTICATEGORY	Contingency Table (2x2)	TABLE
38		Peirce Skill Score	SCORE
39	ENSEMBLE FORECAST	Sample Size	SCORE
40		Continuous Ranked Probability Score*
41		Continuous Ranked Probability Skill Score
42		Rank Histogram	DIAGRAM
43		Box Plot of Errors by Observed Value	BOXPLOT
44		Box Plot of Errors by Forecast Value