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Table 2 The statistic of errors in the process of groundwater interpolation in the last 5 years (2009–2013)

From: Geostatistical interpolation model selection based on ArcGIS and spatio-temporal variability analysis of groundwater level in piedmont plains, northwest China

Year Errors Methods
2013 Interpolation model IDW GPI LPI TSPLINE OK SK UK
Mean error 0.17 −0.73 0.14 0.02 −0.04 0.02 0.03
Root-mean-square (m) 0.89 1.46 1.07 1.24 0.26 0.11 0.24
R2 0.92 0.89 0.91 0.90 0.96 0.99 0.96
2012 Interpolation model IDW GPI LPI TSPLINE OK SK UK
Mean error 0.11 0.79 −0.08 0.04 −0.10 0.03 −0.09
Root-mean-square (m) 0.92 1.49 1.10 1.27 0.29 0.04 0.47
R2 0.88 0.85 0.87 0.86 0.92 0.95 0.92
2011 Interpolation model IDW GPI LPI TSPLINE OK SK UK
Mean error 0.19 −0.71 0.16 −0.04 0.02 −0.01 0.01
Root-mean-square (m) 0.17 0.72 0.14 0.02 0.04 0.02 0.03
R2 0.91 0.88 0.90 0.89 0.95 0.98 0.95
2010 Interpolation model IDW GPI LPI TSPLINE OK SK UK
Mean error 0.19 −0.82 0.18 0.02 0.04 0.04 0.03
Root-mean-square (m) 0.85 1.40 1.03 1.19 0.25 0.18 0.42
R2 0.90 0.87 0.89 0.88 0.94 0.97 0.94
2009 Interpolation model IDW GPI LPI TSPLINE OK SK UK
Mean error 0.14 −0.77 −0.06 0.07 −0.07 0.05 −0.06
Root-mean-square (m) 0.90 1.45 1.08 1.24 0.30 0.23 0.47
R2 0.88 0.86 0.89 0.89 0.92 0.98 0.95