Table 2.

Cross‐Validation Statistics for the WD From CMAQv5.0.2 Output Only and Four Measurement‐Model Fusion Methods (Precip‐ Adj and Bias‐Adj (Method 1), Only Precipitation‐Adjustment (Precip‐Adj, Method 2), Only Bias‐Adjustment (Bias‐Adj, Method 3), and NTN × PRISM (Method 4)

Species	Fusion method	Mean Obs (kg/ha)	Mean mod (kg/ha)	MB (kg/ha)	NMB (%)	RMSE (kg/ha)	ME (kg/ha)	NME (%)	R 2
NO3 −	CMAQ outputs	7.53	7.43	−0.09	−1.2	2.19	1.60	21.2	0.76
	Method 1 (precip‐adj and bias‐adj)	7.53	7.53	0.00	0.0	1.53	1.10	14.6	0.86
	Method 2 (precip‐adj)	7.53	7.47	−0.05	−0.7	1.95	1.48	19.6	0.81
	Method 3 (bias‐adj)	7.53	7.63	0.10	1.4	1.92	1.36	18.1	0.79
	Method 4 (NTN × PRISM)	7.53	7.54	0.00	0.1	1.48	1.09	14.5	0.86
NH4 +	CMAQ outputs	2.46	2.19	−0.27	−11.0	0.94	0.68	27.6	0.60
	Method 1 (precip‐and bias‐adj)	2.46	2.39	−0.07	−2.9	0.69	0.48	19.6	0.76
	Method 2 (precip‐adj)	2.46	2.21	−0.25	−10.2	0.87	0.65	26.3	0.66
	Method 3 (bias‐adj)	2.46	2.41	−0.05	−1.8	0.79	0.57	23.0	0.70
	Method 4 (NTN × PRISM)	2.46	2.37	−0.09	−3.6	0.82	0.58	23.5	0.67
SO4 2−	CMAQ outputs	8.87	8.47	−0.40	−4.5	2.76	1.92	21.7	0.81
	Method 1 (precip‐and bias‐adj)	8.87	8.84	−0.03	−0.3	1.98	1.35	15.3	0.90
	Method 2 (precip‐adj)	8.88	8.56	−0.31	−3.4	2.37	1.66	18.7	0.86
	Method 3 (bias‐adj)	8.87	8.97	0.10	1.1	2.57	1.72	19.4	0.84
	Method 4 (NTN × PRISM)	8.87	8.86	−0.01	−0.1	2.08	1.39	15.7	0.89

Note. Summary statistics are based on N = 1,964 observations and include observation mean (MEAN OBS), model mean (MEAN MOD), mean bias (MB), normalized mean bias (NMB), root mean square error (RMSE), mean error (ME), normalized mean error (NME), and Pearson correlation squared (R ²). Evaluation metrics with the best performance values are shown in bold. WD = wet deposition; NTN = National Trends Network; PRISM = Parameter‐elevation Regressions on Independent Slopes Model.