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Table 2 Evaluation criteria between the original and calibrated potential evapotranspiration models against potential evapotranspiration reference in different climatic zones of China

From: Applicability and improvement of different potential evapotranspiration models in different climate zones of China

Models

Climatic zones

Coefficients

a

b

R2

MAE

RMSE

NSE

Romanenko

MPZ

Original

4.50

–

0.81

14.83

19.48

0.65

Calibrated

3.90

–

0.81

12.29

18.62

0.68

SMZ

Original

4.50

–

0.83

11.42

15.00

0.81

Calibrated

4.30

–

0.83

10.90

14.18

0.98

TCZ

Original

4.50

–

0.96

28.47

39.54

0.63

Calibrated

3.50

–

0.96

11.37

15.16

0.95

TMZ

Original

4.50

–

0.90

13.95

17.21

0.85

Calibrated

4.20

–

0.90

12.40

15.25

0.88

Rohwer

MPZ

Original

0.44

0.27

0.80

23.15

26.76

0.33

Calibrated

0.50

0.08

0.82

12.80

17.07

0.73

SMZ

Original

0.44

0.27

0.88

19.14

21.79

0.59

Calibrated

0.51

0.01

0.89

10.01

13.75

0.84

TCZ

Original

0.44

0.27

0.95

15.06

25.39

0.85

Calibrated

0.38

0.01

0.96

12.06

18.55

0.92

TMZ

Original

0.44

0.27

0.91

13.30

17.44

0.85

Calibrated

0.46

0.03

0.92

10.01

13.57

0.91

Abtew

MPZ

Original

0.53

–

0.81

35.12

37.18

0.29

Calibrated

0.41

–

0.81

15.51

18.58

0.68

SMZ

Original

0.53

–

0.93

11.32

13.65

0.84

Calibrated

0.51

–

0.93

9.66

11.91

0.88

TCZ

Original

0.53

–

0.91

24.28

29.17

0.80

Calibrated

0.56

–

0.91

20.74

25.05

0.82

TMZ

Original

0.53

–

0.92

19.65

22.57

0.74

Calibrated

0.50

–

0.82

16.37

19.43

0.81

Priestley–Taylor

MPZ

Original

1.26

–

0.84

15.58

18.44

0.68

Calibrated

1.32

–

0.84

14.75

18.05

0.70

SMZ

Original

1.26

–

0.92

14.11

17.64

0.73

Calibrated

1.18

–

0.92

11.25

13.86

0.83

TCZ

Original

1.26

–

0.92

25.93

30.88

0.77

Calibrated

1.58

–

0.92

18.40

22.24

0.88

TMZ

Original

1.26

–

0.92

16.57

18.62

0.83

Calibrated

1.23

–

0.92

16.14

17.42

0.84

Penman–Monteith

MPZ

Original

0.408

0.340

0.95

7.41

8.80

0.93

Calibrated

0.410

0.368

0.96

6.913

8.667

0.94

SMZ

Original

0.408

0.340

0.97

5.87

7.10

0.96

Calibrated

0.390

0.331

0.98

5.01

6.58

0.96

TCZ

Original

0.408

0.340

0.98

14.71

17.83

0.92

Calibrated

0.456

0.320

0.98

6.58

9.01

0.98

TMZ

Original

0.408

0.340

0.98

8.37

9.22

0.96

Calibrated

0.405

0.304

0.98

4.59

6.68

0.98