3.1 Spatial correlation
The Moran’s I of core variables are calculated based on equation 1, and the results are shown in Table 1. The table shows that the Moran’s I of CO2 emissions in each city from 2005 to 2016 fluctuates between 0.193 and 0.253, and all Moran’s I are significant at the 1% level. Its average value in the study period equals 0.231. This result shows that the CO2 emissions of various cities have a positive and significant spatial correlation—the higher the CO2 emissions in a city, the higher the CO2 emissions in its surrounding cities, and vice versa. Therefore, the spatial distribution of CO2 emissions in cities in China is not random but indicative of the phenomenon that some cities tend to agglomerate in space.
Table 1. Results of Moran analysis.
Year
|
Y
|
End
|
Front
|
2005
|
0.239***
(9.19)
|
0.053**
(2.12)
|
0.047**
(2.11)
|
2006
|
0.237***
(9.09)
|
0.071***
(2.81)
|
0.034
(1.57)
|
2007
|
0.248***
(9.49)
|
0.071***
(2.81)
|
0.042*
(1.89)
|
2008
|
0.253***
(9.68)
|
0.108***
(4.18)
|
0.016
(0.87)
|
2009
|
0.240***
(9.21)
|
0.110***
(4.26)
|
0.035*
(1.77)
|
2010
|
0.235***
(9.01)
|
0.094***
(3.67)
|
0.040**
(2.04)
|
2011
|
0.220***
(8.45)
|
0.013
(0.64)
|
0.043**
(2.11)
|
2012
|
0.220***
(8.45)
|
0.008
(0.47)
|
0.075***
(3.92)
|
2013
|
0.196***
(7.57)
|
0.026
(1.11)
|
0.053***
(2.90)
|
2014
|
0.193***
(7.43)
|
0.044*
(1.81)
|
0.063***
(3.31)
|
2015
|
0.208***
(7.97)
|
0.077***
(3.02)
|
0.073***
(4.56)
|
2016
|
0.208***
(7.98)
|
0.151***
(5.80)
|
0.098***
(4.03)
|
Note: ***, **, and * indicate significance levels of 1%, 5%, and 10%, respectively. The z values are in parentheses.
We further calculate the Moran’s I of FRAP and EPAP. Table 2 shows that, except for the period 2011–2013, the Moran’s I of the variable End is significant at the 10% level or lower in the hypothesis testing. The fluctuation range in the significant years is from 0.053 to 0.151, and the mean value is 0.096. Except for 2006 and 2008, the Moran’s I of variable Front is significant at the 10% level or lower in the hypothesis testing. The fluctuation range in the significant years is from 0.035 to 0.098, and the mean value is 0.057. Therefore, there is a significant positive spatial correlation between the levels of FRAP and EPAP in cities in China, and there is a cluster phenomenon in the spatial distribution of air pollutants reduction. An increase in the level of air pollutants reduction in one region can increase that in its surrounding regions, and vice versa.
3.2 Estimation results of the spatial panel model
First, we tested the model selection. The results show that the LR test results reject the null hypothesis that the spatial fixed effect is not significant, and the time fixed effect is not significant at the 1% level. Therefore, this study adopts the spatial and time fixed effect model. The LM-lag and LM-error of the spatial and time fixed effects model reject the null hypothesis at the 1% level, the Robust LM-lag rejects the null hypothesis at the 5% significance level, and the Robust LM-error rejects the null hypothesis at the 1% significance level. This result indicates a significant spatial effect in the model. Simultaneously, according to Moran’s I, the core explanatory variables of this study also have a significant spatial correlation. As this study focuses on how a city’s FRAP and EPAP affect the CO2 emissions of surrounding cities, we need to consider the spatial effect of independent variables in the model. In summary, the SDM is a more suitable choice.
In terms of the SDM, equation 5 shows that when , it can be simplified to SLM, and when , it can be simplified to SEM. is the matrix composed of the regression coefficients of independent variables. Therefore, before estimating the SDM, we should perform a Wald test on the hypotheses: and . If the test rejects both hypotheses, it is more reasonable to select the SDM (Elhorst, 2012). In addition to the Wald test, this study adds a likelihood ratio test to further verify whether the SDM can be simplified. Table 4 shows that both LR-SLM and Wald-SLM reject the null hypothesis that “the model can be simplified to a spatial lag model” at the 1% significance level. Simultaneously, LR-SEM and Wald-SEM also reject the null hypothesis that “the model can be simplified to a spatial lag model” at the 1% significance level. Hence, SDM cannot be simplified to SLM or SEM in this study. Considering the result of model testing and the purpose of this research, this study will use the SDM for estimation.
Table 2. Estimation results of spatial panel models.
Variable
|
SLM
|
SEM
|
SDM
|
|
0.010***
(5.98)
|
0.010***
(5.84)
|
0.009***
(5.53)
|
|
0.008***
(5.07)
|
0.005***
(3.02)
|
0.006***
(4.00)
|
|
0.123***
(9.11)
|
0.142***
(9.95)
|
0.136***
(9.54)
|
|
-0.026***
(-7.57)
|
-0.032***
(-8.49)
|
-0.030***
(-7.87)
|
|
0.042***
(3.56)
|
0.036***
(2.98)
|
0.035***
(2.97)
|
|
-0.003
(-0.90)
|
0.001
(0.20)
|
0.001
(0.28)
|
|
0.077***
(4.48)
|
0.122***
(6.77)
|
0.121***
(6.71)
|
|
0.017***
(3.23)
|
0.020***
(3.59)
|
0.021***
(3.85)
|
|
0.004***
(3.00)
|
0.006***
(4.53)
|
0.006***
(4.53)
|
|
|
|
-0.006
(-1.47)
|
|
|
|
0.025***
(5.65)
|
|
|
|
0.039
(1.16)
|
|
|
|
0.015*
(1.91)
|
|
|
|
0.023
(0.75)
|
|
|
|
-0.013*
(-1.82)
|
|
|
|
-0.249***
(-5.79)
|
|
|
|
0.007
(0.51)
|
|
|
|
-0.010**
(-2.97)
|
|
0.687***
(38.48)
|
|
0.709***
(37.19)
|
|
|
0.761***
(45.07)
|
|
R-squared
|
0.995
|
0.993
|
0.995
|
Log-likelihood
|
4258.71
|
4279.57
|
4325.83
|
LR (simplified to sar)
|
|
|
134.23***
|
LR (simplified to sem)
|
|
|
92.51***
|
Wald (simplified to sar)
|
|
|
126.61***
|
Wald (simplified to sem)
|
|
|
81.51***
|
Note: ***, **, and * indicate significance levels of 1%, 5%, and 10%, respectively. The t values are in parentheses.
The estimation results of the spatial panel model are shown in Table 2. The spatial lag term of CO2 emissions is positive and significant at the 1% level, and the regression coefficient is approximately 0.70. This further verifies the significant spatial correlation of CO2 emissions between various cities in China. A 1% increase in CO2 emissions in a city will increase the average CO2 emissions of its surrounding cities by about 0.70%. Simultaneously, the spatial terms in the SLM and the SEM are significant at the 1% level, which further verifies the necessity of including the spatial effect in the model.
The local effects of FRAP and EPAP are both significantly positive at the 1% level, which indicates that the less SO2 produced per unit of GDP, the lower the CO2 emissions. The higher the SO2 removal rate, the higher the CO2 emissions. As shown in Fig.A1, the trends of FRAP and EPAP in China from 2005 to 2016 indicate that FRAP reduces CO2 emissions, and EPAP increases CO2 emissions. Currently, the methods of FRAP mainly include the following: (1) shutting down outdated production facilities through industrial structure adjustment, thereby reducing energy use; (2) improving energy efficiency through energy technology development or energy quality improvement; (3) optimizing production processes to reduce energy use. These FRAP methods can reduce the generation of air pollutants by reducing energy use and improving energy efficiency. As the main source of CO2 and air pollutants such as SO2 is the combustion of fossil fuel, the abovementioned methods can reduce the amount of air pollutants and CO2 emissions at same time, which shows synergistic effect.
The removal rate of air pollutants is an important indicator to monitor the level of air pollutants reduction of various enterprises in China as well as evaluate the implementation of air pollutants reduction by governments at all levels. Compared to FRAP, EPAP has a faster effect and lower cost in reducing pollutant emissions, making it the preferred solution for many industrial enterprises. However, pollutants removal equipment consume electricity during operation and generates additional CO2, besides, some pollutants removal processes also generate CO2 (Mao et al., 2012; Qian et al., 2021; Shi et al., 2017; Tan et al., 2016). For example, if all sintering machines in China achieve ultra-low emissions, when 70% of machines adopt the SCR denitration process, the additional CO2 emissions from this process can reach 32 million tons a year (Ministry of Ecology and Environment of China, 2020). Therefore, although EPAP can reduce pollutants emissions, it increases CO2 emissions in the pollutant removal process. In this context, air pollutants reduction and CO2 emissions have an antagonistic relationship, and the increase in CO2 emissions caused by this effect cannot be ignored.
In terms of control variables, the linear coefficient of GDP per capita is positive and significant at the 1%. level, and the quadratic coefficient is negative and significant at the 1% level. This result shows that the relationship between CO2 emissions and economic development of each city presents an inverted U shape. The calculated inflection point of the curve is 96,800 yuan (2000 constant price). According to this result, we find that in the study period, most cities in China belong to the left side of the curve, and only a few cities such as Shenzhen have reached the right side of the curve. The growth rate of CO2 emissions in cities on the left side of the curve is slowing down as GDP per capita increases. The results indicated that the decoupling of CO2 emissions from economic growth is expected to be achieved in the future. However, currently, China’s economic development still leads to an increase in CO2 emissions.
The regression coefficients of population density, the number of cars, and industrial structure are positive and significant at the 1% level. This indicates that an increase in population, the number of cars, and the proportion of the secondary industry leads to an increase in CO2 emissions. The regression coefficient of FDI is positive and significant at the 1% level, which indicates that FDI increased China’s CO2 emissions in the study period.
3.3 Spillover effects of the drivers
When analyzing the spatial spillover effects, this study mainly considers the direct and indirect effects based on equation 6. The estimated results are shown in Table 3.
Table 3. Decomposition estimates of the direct, indirect, and total effects.
Variable
|
Direct
|
Indirect
|
Total
|
|
0.009***
(5.04)
|
0.001
(0.04)
|
0.010
(0.63)
|
|
0.010***
(5.68)
|
0.095***
(6.58)
|
0.105***
(6.85)
|
|
0.152***
(10.33)
|
0.449***
(4.44)
|
0.601***
(5.93)
|
|
-0.031***
(-8.03)
|
-0.019
(-0.80)
|
-0.050**
(-2.01)
|
|
0.041***
(3.22)
|
0.160*
(1.67)
|
0.202**
(1.99)
|
|
-0.001
(-0.19)
|
-0.040*
(-1.89)
|
-0.041*
(-1.82)
|
|
0.102***
(5.61)
|
-0.540***
(-4.08)
|
-0.438***
(-3.18)
|
|
0.024***
(4.04)
|
0.071*
(1.75)
|
0.095**
(2.22)
|
|
0.006***
(3.87)
|
-0.020*
(-1.73)
|
-0.014
(-1.19)
|
Note: ***, **, and * indicate significance levels of 1%, 5%, and 10%, respectively. The t values are in parentheses.
The direct effect of FRAP is positive and significant at the 1% level, while the indirect effect is not significant. This shows that FRAP mainly affects local CO2 emissions but has no significant impact on other regions. From a practical perspective, FRAP requires a relatively higher technical threshold, a longer cycle of technological progress, and a larger amount of investment. Therefore, although some developed cities have made progress in FRAP technology, their neighboring cities still have difficulties achieving the same technological progress. Simultaneously, FRAP technology can not only reduce corporate pollutant emissions but also increase corporate profits. Thus, its spillover effect between regions will be affected by stronger corporate self-protection and local protection, which further increases the difficulty of spillover.
Both direct and indirect effects of EPAP are positive and significant at the 1% level. This shows that an increase in the EPAP level of a city increases the local CO2 emissions and significantly increases the CO2 emissions of surrounding cities. The pollutant removal rate, to a certain extent, can reflect the air pollution control efforts in a region (Ren et al., 2018; Wu et al., 2020). The desulfurization rate in a region increases means that the pollutants reduction efforts also increase. Under this condition, some energy-intensive and pollution-intensive enterprises will move to the surrounding regions with less stringent air pollutants control (Yin et al., 2015; Zhao et al., 2020), which increase their CO2 emissions. The regression result of the industrial structure variable further illustrates this phenomenon. In terms of the proportion of the secondary industry, the coefficient of the direct effect is positive and significant at the 1% level, and that of the indirect effect is negative and significant at the 1% level. This indicates that the reduction of the proportion of the secondary industry reduces local CO2 emissions but increases CO2 emissions in surrounding cities. Some developed cities transfer high energy-consuming and high-polluting industries to the surrounding regions to meet increasingly stringent environmental goals, which puts considerable environment pressure on surrounding regions (Zhou et al., 2021a) and increases their CO2 emissions.
Additionally, the estimation results also show that control variables such as GDP per capita, population density, the number of cars, science and technology expenditure, and FDI directly and indirectly affect CO2 emissions in local and surrounding regions.
To test the robustness of the estimation results of the above model, this study constructs other K-nearest neighbor spatial weight matrices where k equals 8 and 12 and estimates the model. The results are shown as Table A1 and Table A2. The robustness test results show that after modifying the spatial weight matrix, the direction and significance of the regression coefficient of each variable do not change significantly and are consistent with the benchmark model. This indicates that the econometric model in this article is robust.