Table 9 Results from the spatial durbin difference in difference model.

From: The impact of intellectual property demonstration policies on carbon emission efficiency

Variable

Geographic distance matrix

Economic distance matrix

Economic-geographic distances

Direct effect

Indirect effect

Total effect

Direct effect

Indirect effect

Total effect

Direct effect

Indirect effect

Total effect

IPDP

− 0.002

(0.033)

0.673***

(0.181)

0.671***

(0.196)

0.023

(0.032)

0.250***

(0.053)

0.273***

(0.071)

0.019

(0.033)

0.386***

(0.088)

0.405***

(0.097)

EDL

− 0.070***

(0.010)

− 0.126***

(0.023)

− 0.196***

(0.028)

− 0.092***

(0.010)

− 0.023***

(0.004)

− 0.114***

(0.012)

− 0.095***

(0.010)

− 0.040***

(0.007)

− 0.135***

(0.014)

EDL2

0.004***

(0.001)

0.007***

(0.001)

0.011***

(0.002)

0.005***

(0.001)

0.001***

(0.000)

0.006***

(0.001)

0.005***

(0.001)

0.002***

(0.000)

0.007***

(0.001)

ER

1.067

(2.905)

1.942

(5.470)

3.009

(8.337)

3.092

(2.955)

0.760

(0.747)

3.853

(3.690)

2.559

(2.890)

1.064

(1.241)

3.623

(4.117)

ES

− 0.169***

(0.044)

− 0.305***

(0.095)

− 0.473***

(0.132)

− 0.187***

(0.045)

− 0.047***

(0.013)

− 0.233***

(0.055)

− 0.187***

(0.045)

− 0.079***

(0.022)

− 0.266***

(0.064)

PSI

0.047

(0.073)

0.088

(0.139)

0.135

(0.211)

− 0.082

(0.077)

− 0.020

(0.019)

− 0.102

(0.095)

− 0.053

(0.074)

− 0.021

(0.032)

− 0.074

(0.106)

\(\rho\)

0.643***

(0.047)

0.207***

(0.028)

6.505***

(0.660)

Observations

3640

3640

3640

  1. IPDP: Intellectual Property Demonstration Policies; EDL: Economic Development Level; EDL2: a quadratic term of economic development level; ER: Environmental Regulation; ES: Energy Structure; PSI: Proportion of Secondary Industry. The symbols *, **, and *** denote statistical significance at the 10%, 5%, and 1% levels, respectively, while the values in parentheses indicate standard errors.