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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