Table 9 Results of lagged one-period robustness tests for the explanatory variables.

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

Model

(6)

(7)

(8)

(9)

Effect

Direct

Indirect

Total

Direct

Indirect

Total

Direct

Indirect

Total

Direct

Indirect

Total

\(\mathrm{lnGTI}\)

0.0647***

(5.47)

0.1073

(1.50)

0.1720**

(2.38)

   

0.0002

(0.03)

− 0.0579**

(− 2.29)

− 0.0577**

(− 2.30)

   

\(\mathrm{lnGTI}2\)

0.0032***

(3.64)

− 0.0003

(− 0.38)

0.0030***

(2.78)

   

0.0005

(0.88)

− 0.0001

(− 0.83)

0.0003

(0.88)

   

\(\mathrm{lnSubGI}\)

   

0.0092*

(1.78)

− 0.1280***

(− 4.00)

− 0.1187***

(− 3.58)

   

0.0109*

(1.80)

− 0.0796**

(− 2.43)

− 0.0686**

(− 2.05)

\(\mathrm{lnSymGI}\)

   

− 0.0178***

(− 3.04)

0.0742**

(2.24)

0.0564*

(1.71)

   

− 0.0194***

(− 2.72)

0.0321

(0.91)

0.0127

(0.36)

\(\mathrm{lnER}\)

− 0.0133

(− 1.59)

0.1045**

(2.16)

0.0912*

(1.91)

− 0.0071*

(− 1.93)

0.0589***

(3.27)

0.0518***

(2.97)

− 0.0049

(− 0.99)

0.0499**

(2.57)

0.0450**

(2.46)

− 0.0042

(− 0.78)

0.0564***

(2.66)

0.0522***

(2.63)

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

− 0.0012***

(− 3.68)

0.0054**

(2.22)

0.0042*

(1.74)

   

0.0006***

(2.76)

0.0019*

(1.82)

0.0025**

(2.42)

   

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

   

− 0.0006

(− 0.80)

0.0101**

(2.12)

0.0095**

(1.97)

   

− 0.0009*

(− 1.75)

0.0047

(1.61)

0.0038

(1.22)

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

   

0.0008

(0.95)

− 0.0083

(− 1.60)

− 0.0075

(− 1.44)

   

0.0015***

(2.95)

− 0.0026

(− 0.94)

− 0.0011

(− 0.38)

\(\mathrm{lnControls}\)

Yes

Yes

Yes

Yes

Province/Year

Yes

Yes

Yes

Yes

Spatial rho

0.1323

(0.60)

0.2108**

(2.16)

0.4364***

(3.44)

0.3690***

(2.85)

sigma2_e

0.0019***

(15.52)

0.0003***

(15.46)

0.0006***

(15.65)

0.0006***

(15.67)

R-squared

0.265

0.967

0.952

0.953

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