Table 6 Empirical results of heterogeneity check.

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

Variable

Heterogeneity of urban distribution areas

Heterogeneity of urban carbon emissions

Heterogeneity in the degree of marketization across cities

Easterncities

Midwest cities

Cities with lower carbon emissions

Cities with higher carbon emissions

Cities with a low degree of marketization

Cities with a higher degree of marketization

IPDP

0.074***

(0.021)

0.030

(0.019)

0.052***

(0.020)

0.034*

(0.020)

0.017

(0.019)

0.068***

(0.021)

EDL

− 0.122***

(0.023)

− 0.077***

(0.007)

− 0.081***

(0.008)

− 0.104***

(0.012)

− 0.094***

(0.010)

− 0.087***

(0.010)

EDL2

0.006

(0.004)

0.004***

(0.001)

0.005***

(0.001)

0.005***

(0.001)

0.005***

(0.001)

0.004***

(0.001)

ER

2.715

(4.817)

6.819**

(2.737)

5.997**

(3.051)

4.904

(3.923)

− 0.786

(3.406)

10.490***

(3.555)

ES

− 0.152**

(0.069)

− 0.209***

(0.033)

− 0.124***

(0.039)

− 0.349***

(0.053)

− 0.252***

(0.047)

− 0.208***

(0.045)

PSI

− 0.634***

(0.131)

− 0.029

(0.058)

− 0.050

(0.069)

− 0.438***

(0.097)

− 0.164**

(0.076)

− 0.332***

(0.089)

Constant

1.159***

(0.084)

0.679***

(0.038)

0.653***

(0.047)

1.100***

(0.060)

0.863***

(0.051)

0.891***

(0.056)

Observations

1300

2340

1820

1820

1820

1820

  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.