Table 2 Evaluation metrics values in calibration and Validation periods for Mekkah basin.

From: Meteorological data implications modeling on evapotranspiration variability in arid and semi-arid zones in Saudi Arabia using hybrid metaheuristic

Model

Calibration period

Validation period

NSCE

MAPE

NMSE

IA

NSCE

MAPE

NMSE

IA

CSO–BAT

0.74

14.94

0.022

0.93

0.96

5.26

0.0028

0.98

BAT–GA

− 3.87

132.55

1.75

0.48

− 2.66

92.30

0.85

0.53

BSA–GA

− 7.8

334.78

11.20

0.38

− 4.7

150

2.25

0.45

BSA–NM

0.61

19.04

0.036

0.89

0.89

8.69

0.0076

0.97

BAT–NM

0.45

23.45

0.055

0.86

0.92

7.52

0.0057

0.97

GA–NM

0.27

28.20

0.079

0.81

0.64

17.64

0.031

0.90

CSO–GA

− 0.94

56.25

0.31

0.65

− 0.43

42.85

0.18

0.70

CSO–NM

− 0.17

38.88

0.151

0.73

0.64

17.64

0.031

0.90

BSA–CSO

0.81

12.35

0.015

0.95

0.89

8.69

0.0076

0.97

BSA–BAT

− 1.9

78.57

0.61

0.58

− 0.24

38.88

0.151

0.72

BSA–BAT–GA

0.9

8.69

0.0076

0.97

0.94

6.38

0.0041

0.98

BAT–GA–NM

0.97

4.16

0.0017

0.99

0.99

2.04

0.0004

0.99

CSO–BAT–GA

0.062

33.33

0.11

0.77

0.42

23.45

0.055

0.85

CSO–BAT–NM

0.87

9.89

0.0098

0.96

0.92

7.52

0.0057

0.97

BSA–BAT–NM

0.94

6.38

0.0041

0.98

0.97

4.16

0.0017

0.99

BSA–CSO–BAT

0.45

23.45

0.05

0.86

0.80

12.35

0.015

0.94

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