Table 3.

Standard statistical set of metrics used in PLUMBER. All metrics are based on half-hourly values. In formulas, M represents model data, O represents observed flux tower data and n is the number of timesteps.

Metric	Abbr.	Formula
Mean Bias Error	MBE	$\frac{{\sum }_{i=1}^n(M_i-O_i)}{n}$
Normalised Mean Error	NME	$\frac{\sum |M_i-O_i|}{\sum |\overline{O}-O_i|}$
Standard Deviation difference	sd	$|1-\frac{\sqrt{\frac{\sum M_i-{\overline{M}}^2}{n-1}}}{\sqrt{\frac{\sum O_i-{\overline{O}}^2}{n-1}}}|$
Correlation coefficient	r	$\frac{{\sum }_{i=1}^n(M_i-\overline{M})(O_i-\overline{O})}{\sqrt{{\sum }_{i=1}^n{(M_i-\overline{M})}^2}\sqrt{{\sum }_{i=1}^n{(O_i-\overline{O})}^2}}$