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. Author manuscript; available in PMC: 2021 Sep 15.
Published in final edited form as: Environ Sci Technol. 2020 Sep 1;54(18):11037–11047. doi: 10.1021/acs.est.0c01791

Table 1 –

Cross-validation results by year

Year Ensemble model Neural Network Random Forest Gradient Boosting
R2 RMSE (ppb) Intercept Slope Spatial R2 Temporal R2 R2 R2 R2
2000 0.889 5.705 0.088 0.991 0.848 0.905 0.889 0.887 0.889
2001 0.892 5.517 0.254 0.992 0.845 0.911 0.889 0.889 0.892
2002 0.908 5.375 0.338 0.984 0.863 0.924 0.904 0.906 0.907
2003 0.897 5.244 0.126 0.988 0.837 0.917 0.894 0.895 0.896
2004 0.889 4.986 0.543 0.982 0.812 0.912 0.886 0.886 0.888
2005 0.901 5.090 0.228 0.991 0.845 0.921 0.898 0.898 0.900
2006 0.898 4.873 0.357 0.992 0.839 0.918 0.895 0.896 0.898
2007 0.903 4.731 0.284 0.998 0.889 0.916 0.902 0.900 0.902
2008 0.904 4.447 0.317 0.990 0.886 0.916 0.902 0.901 0.903
2009 0.899 4.196 0.032 0.996 0.862 0.915 0.897 0.897 0.899
2010 0.891 4.399 0.090 0.990 0.863 0.908 0.889 0.888 0.890
2011 0.902 4.296 0.009 0.997 0.847 0.921 0.901 0.899 0.902
2012 0.920 4.003 0.339 0.990 0.883 0.933 0.919 0.916 0.919
2013 0.907 3.787 1.049 0.973 0.879 0.921 0.904 0.904 0.907
2014 0.913 3.585 0.259 0.991 0.888 0.922 0.913 0.909 0.912
2015 0.919 3.538 0.447 1.005 0.894 0.926 0.914 0.915 0.918
2016 0.906 3.579 0.187 0.989 0.897 0.934 0.901 0.904 0.907
Overall (2000–2016) 0.905 4.668 0.654 0.985 0.862 0.916 0.904 0.896 0.900

Note: The slope and intercept were obtained from the linear regression model, which we regressed predicted O3 against monitored O3.