Research Article

Effect of Energy Development and Technological Innovation on PM2.5 in China: A Spatial Durbin Econometric Analysis

Table 5

Estimation results of spatial Durbin model.

VariablesTwo-way fixed effectsTwo-way fixed effects (with bias correction)Random spatial effects and time-period fixed effects

Adjacent weight

δ0.3679(0.0000)0.4268 (0.0000)0.4329 (0.0000)
ln Ei0.1058(0.4343)0.0980(0.4896)0.0411(0.7629)
ln Cs0.0899 (0.0089)0.0880 (0.0147)0.0882 (0.0143)
ln Ppi-1.0526 (0.0018)-1.0389 (0.0003)-1.0866 (0.0021)
ln Npi-0.1079 (0.0000)-0.1043 (0.0002)-0.0893 (0.0015)
ln Patent0.0626(0.1363)0.0657(0.1356)0.0905 (0.0310)
ln Infra0.0410(0.4668)0.0454(0.4419)0.0467(0.4255)
ln Market-0.0452 (0.0170)-0.0439 (0.0000)-00471 (0.0161)
W ln Ei1.0147 (0.0004)0.9882 (0.0010)0.4913 (0.0676)
W ln Cs0.0696(0.2970)0.0608(0.3844)0.0434(0.5334)
W ln Ppi-0.4512(0.4771)-0.3386(0.6104)-0.5460(0.4074)
W ln Npi-0.1558 (0.0076)-0.1414 (0.0206)-0.0786(0.1850)
W ln Patent-0.3095 (0.0000)-0.3052 (0.0000)-0.2093 (0.0016)
W ln Infra-0.2437 (0.0474)-0.2467 (0.0557)-0.2543 (0.0463)
W ln Market-0.0869 (0.0252)-0.0802 (0.0486)-0.0864 (0.0312)
Teta0.0701 (0.0000)
R20.93910.93980.8902
log-likelihood141.4070141.4070-840.5862
Wald spatial lag71.8978 (0.000)61.5451 (0.000)46.1114 (0.000)
LR spatial lag67.7774 (0.000)67.7774 (0.000)
Wald spatial error87.6175 (0.000)75.3315 (0.000)54.5307 (0.000)
LR spatial error81.6844 (0.000)81.6844 (0.000)
Hausman testStatisticsDOFP value
95.6264150.0000

Distance weight

Δ0.4449 (0.0000)0.5168 (0.0000)0.4399 (0.0000)
ln Ei0.4862 (0.0000)0.4867 (0.0011)0.3066 (0.0245)
ln Cs0.0752 (0.0421)0.0737 (0.0570)0.0795 (0.0426)
ln Ppi-0.8146 (0.0282)-0.7859 (0.0431)-1.1188 (0.0030)
ln Npi-0.1472 (0.0000)-0.1441 (0.0000)-0.1198 (0.0000)
ln Patent0.0152(0.7189)0.0160(0.7184)0.0646(0.1287)
ln Infra0.0163(0.7785)0.0203(0.7379)0.0219(0.7171)
ln Market-0.0591 (0.0006)-0.0579 (0.0057)-0.0492 (0.0187)
W ln Ei-0.4203(0.2145)-0.4437(0.2106)-0.5212 (0.0864)
W ln Cs0.3411 (0.0764)0.3277(0.1039)0.3314(0.1030)
W ln Ppi-1.0727(0.1067)-0.9562(0.1689)-0.0258(0.9525)
W ln Npi-0.2430 (0.0013)-0.2238 (0.0046)-0.1340 (0.0685)
W ln Patent-0.2628 (0.0210)-0.2619 (0.0280)-0.0715(0.5086)
W ln Infra-0.2226(0.1075)-0.2215(0.1261)-0.0901(0.5263)
W ln Market-0.0024(0.9589)0.0021(0.9653)-0.0085(0.8572)
teta0.0782 (0.0000)
R20.92870.92970.8679
log-likelihood105.4847105.4847-649.7897
Wald spatial lag24.3571 (0.0000)20.5623 (0.0045)9.7989(0.2003)
LR spatial lag23.2803 (0.0015)23.2803 (0.0015)
Wald spatial error33.2143 (0.0000)28.4091 (0.0000)14.7569 (0.0392)
LR spatial error30.2017 (0.0000)30.2017 (0.0000)
Hausman testStatisticsDOFP value
60.0659150.0000

Note., , indicates significance at 10%, 5%, and 1% levels, respectively.