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. 2019 Apr 8;124(7):4237–4251. doi: 10.1029/2018JD029051

Table 1.

Performance Metrics for Annual and Seasonal Accumulated WRF Precipitation Predictions and CMAQv5.0.2 Wet Deposition Predictions for Sulfate, Nitrate, and Ammonium Including 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 (R2)

Seasons Variables N MEAN OBS MEAN MOD MB NMB (%) RMSE ME NME (%) R 2
Precipitation 1,964 94.41 99.4 4.99 5.3 26.81 19.82 21.9 0.67
NO3 1,964 7.53 7.43 −0.09 −1.2 2.19 1.60 21.2 0.76
Annual NH4 + 1,964 2.46 2.19 −0.27 −11.0 0.94 0.68 27.6 0.60
SO4 2− 1,964 8.87 8.47 −0.40 −4.5 2.76 1.92 21.7 0.81
Precipitation 1,631 20.94 22.37 1.43 6.8 9.69 7.02 33.5 0.65
NO3 1,631 1.45 1.58 0.13 8.6 0.77 0.55 37.8 0.58
Winter NH4 + 1,631 0.32 0.24 −0.07 −23.4 0.20 .012 37.9 0.46
SO4 2− 1,631 1.51 1.23 −0.28 −18.6 0.85 0.57 37.4 0.57
Precipitation 1,801 24.35 29.06 2.71 11.1 9.61 6.99 28.7 0.61
NO3 1,801 2.20 2.02 −0.18 −8.2 0.77 0.57 26.0 0.73
Spring NH4 + 1,801 0.85 0.63 −0.22 −26.2 0.46 0.31 36.9 0.55
SO4 2− 1,801 2.63 2.53 −0.10 −3.7 1.09 0.74 28.3 0.71
Precipitation 1,802 27.24 29.15 1.91 7.0 13.35 9.34 34.3 0.47
NO3 1,802 2.59 2.42 −0.17 −6.7 1.04 0.77 29.7 0.54
Summer NH4 + 1,802 0.87 0.98 0.11 12.6 0.49 0.36 41.3 0.41
SO4 2− 1,802 3.14 3.20 0.06 2.0 1.51 0.99 31.5 0.69
precipitation 1,853 23.77 22.11 −1.65 −7.0 8.87 6.38 26.9 0.64
NO3 1,853 1.44 1.62 0.18 12.4 0.71 0.48 33.5 0.65
Fall NH4 + 1,853 0.46 0.39 −0.07 −14.9 0.25 0.17 36.5 0.50
SO4 2− 1,853 1.83 1.73 −0.10 −5.4 0.79 0.54 29.6 0.69

Note. The definition of the evaluation metrics can be found in the supporting information. Statistics are based on the modeled and observed data from 183 NADP/NTN sites. Note that not all 183 sites have a valid observation for every season of every year (i.e., N < 183 sites×11 years). Modeled and observed values were paired in space by matching the observations to the model values from the grid cell that contains the monitor. The units are centimeter for precipitation, and kilogram/hectare for wet deposition. WRF = Weather Research and Forecasting; cmaq = Community Multiscale Air Quality Model.