Table 4 Results of direct, indirect, and total effects of GTI on EEE under ER in the short-term.

From: Assessment of green technology innovation on energy-environmental efficiency in China under the influence of environmental regulation considering spatial effects

Weight

\({\mathrm{W}}_{a}\)

\({\mathrm{W}}_{b}\)

\({\mathrm{W}}_{c}\)

Effect

Direct

Indirect

Total

Direct

Indirect

Total

Direct

Indirect

Total

\(\mathrm{lnGTI}\)

0.0089

(1.60)

− 0.0219***

(− 4.11)

− 0.0130**

(− 2.02)

0.0045

(0.88)

− 0.0786***

(− 3.83)

− 0.0741***

(− 3.62)

− 0.0013

(− 0.24)

− 0.0106

(− 0.99)

− 0.0119

(− 1.03)

\(\mathrm{lnGTI}2\)

0.0016***

(3.58)

0.0000

(0.19)

0.0016***

(3.52)

0.0010***

(2.60)

− 0.0003*

(− 1.82)

0.0007**

(2.39)

0.0008

(1.61)

− 0.0001

(− 1.10)

0.0007

(1.61)

\(\mathrm{lnER}\)

− 0.0104***

(− 2.75)

0.0230***

(3.11)

0.0126*

(1.84)

− 0.0087**

(− 2.41)

0.0479***

(2.92)

0.0392**

(2.49)

− 0.0053

(− 1.47)

− 0.0057

(− 0.52)

− 0.0110

(− 0.93)

\(\mathrm{lnGTI}\)*\(\mathrm{lnER}\)

− 0.0000

(− 0.17)

0.0014***

(5.78)

0.0014***

(5.23)

0.0000

(0.28)

0.0021***

(2.76)

0.0022***

(2.87)

0.0003*

(1.81)

0.0005

(1.07)

0.0008

(1.49)

\(\mathrm{lnControls}\)

Yes

Yes

Yes

Province/Year

Yes

Yes

Yes

Spatial rho

0.0080

(0.11)

0.4498**

(2.29)

0.1548*

(1.78)

sigma2_e

0.0003***

(15.51)

0.0003***

(15.73)

0.0004***

(15.64)

R-squared

0.974

0.933

0.961

Observations

420

420

420

  1. z-statistics in parentheses, ***, **, * indicate significance at the level of 1%, 5%, 10%.