Table 6 The PLSR results for ESVs and their influencing factors in the pilot area.

From: Spatiotemporal differentiation and trade-off/synergy relationships of ecosystem service values in a national park pilot area in China

PLSR

Provisioning services

Regulating services

Supporting services

Cultural services

Total services

Model explanatory power (R2Y)

0.48

0.78

0.45

0.75

0.68

Cross effectiveness (Q2)

0.14

0.66

0.12

0.61

0.51

Regression coefficient (RC)

Variable importance of projection (VIP)

RC

VIP

RC

VIP

RC

VIP

RC

VIP

RC

VIP

EF-1

0.04

0.97

0.05

1.05

0.04

0.90

0.05

1.05

0.05

1.02

EF-2

0.05

1.16

0.06

1.10

0.05

1.19

0.06

1.10

0.05

1.12

EF-3

0.05

1.27

0.06

1.16

0.05

1.28

0.06

1.17

0.06

1.20

EF-4

0.04

1.00

0.05

1.05

0.04

0.94

0.05

1.05

0.05

1.03

EF-5

0.05

1.16

0.06

1.10

0.05

1.19

0.06

1.10

0.05

1.12

EF-6

0.05

1.12

0.05

1.07

0.05

1.16

0.05

1.07

0.05

1.09

EF-7

0.04

1.10

0.06

1.10

0.04

1.06

0.05

1.10

0.05

1.09

EF-8

0.04

1.00

0.05

1.05

0.04

0.94

0.05

1.05

0.05

1.03

PF-1

−0.04

0.87

−0.05

1.00

−0.03

0.83

−0.05

0.99

−0.05

0.96

PF-2

0.00

0.03

0.00

0.07

−0.01

0.22

0.00

0.06

0.00

0.10

PF-3

0.03

0.81

0.03

0.59

0.03

0.86

0.03

0.60

0.03

0.66

PF-4

−0.04

1.04

−0.06

1.08

−0.04

1.01

−0.05

1.08

−0.05

1.06

DF-1

0.05

1.14

0.05

1.05

0.05

1.21

0.05

1.06

0.05

1.09

DF-2

−0.04

0.96

−0.05

0.96

−0.04

0.91

−0.05

0.96

−0.05

0.96

DF-3

−0.04

0.92

−0.05

1.02

−0.03

0.89

−0.05

1.01

−0.05

0.98

DF-4

−0.04

0.98

−0.05

1.04

−0.04

0.96

−0.05

1.03

−0.05

1.02

SF-1

0.04

1.00

0.05

1.05

0.04

0.96

0.05

1.05

0.05

1.03

SF-2

−0.03

0.79

−0.04

0.83

−0.03

0.88

−0.04

0.82

−0.04

0.83

SF-3

0.04

1.09

0.05

1.06

0.04

1.13

0.05

1.06

0.05

1.08

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