3.1. Statistical Modeling
To assess the net effect of the carbon emissions trading policy, we measured the difference between the state of the pilot provinces following intervention by the carbon emissions trading mechanism and the assumed state without policy trials. The latter kind of state, known as the counterfactual state, is not observable, but can be estimated via comparison with a control group (i.e., the non-pilot provinces) [
37].
The carbon trading mechanism trials in the pilot provinces commenced in 2013, so this paper takes 2013 as the policy implementation year. From 2013 to the national introduction of the carbon market in 2017, the policy only applied to the pilot provinces; all non-pilot provinces were unaffected. Thus, the non-pilot provinces and cities were taken as the control group. Based on Hypothesis 1, we used the DID method to compare the carbon reduction performance before and after the launch of the carbon trading policy. Since the study has two groups with divided research objects, it can be considered a “quasi-experimental” design. The DID method is suitable for the causal effect estimation of the quasi-experiment because it can avoid endogeneity. That is, it can effectively control the interaction effect between the explained variable and the explanatory variable. In the DID model of panel data, the exogenous explanatory variable can be used to control the unobservable individual heterogeneity between samples. It can also control the influence of unobservable factors which change with time, so it can produce an unbiased estimation of the policy effect. To ensure the robustness of the results, we verified the estimation results through different test methods.
Based on the DID model expressed in econometrics, we established the following model Formula (1) to evaluate the emission reduction performance of the carbon emissions trading policy:
Y is the explained variable carbon emission and Control represents a series of control variables. Based on the above theoretical assumptions, the control variables included in the policy evaluation Model (1) are the economic, social and political factors that affect carbon emissions. Gi is the grouping dummy variable. If Gi = 1, it is a pilot province, which is the intervention group; if Gi = 0, it is a non-pilot province, which is the control group. This parameter indicates that even without the influence of this policy, there would still be unchangeable differences between the two comparison groups due to some other uncontrollable factors. Dt is the staging dummy variable (after policy implementation Dt = 1, before policy implementation Dt = 0), representing the time difference before and after policy implementation. The interaction term Gi·Dt (policy) represents the net effect of the carbon emissions trading policy. εit is the random interference term. If the coefficient β1 of the policy is not significantly equal to 0, it means that China’s carbon emissions trading policy has a significant impact on carbon emission reduction. However, if β1 = 0, this indicates that China’s carbon emissions trading policy is invalid.
Based on the analysis and assumptions of the relevant variables affecting carbon emissions, we constructed multiple regression models to estimate the coefficients. Model (2) is set as follows:
Y is the explained variable carbon emission, α is a constant term,
βi (
i = 1, 2, 3, …, 10) represents the regression coefficient of the explanatory variable and the control variable and
εit is the random error term. Specifically,
policy represents the implementation of a carbon trading policy, while
tenure,
edu,
local,
center and
intertrans are the variables reflecting officials’ characteristics. For
pergdp,
population,
energy and
secindustry denote the control variables.
Table 1 provides the detailed variable definitions.
3.2. Data and Variables
Considering the comparability and accessibility of the known data, we selected the carbon emissions of 30 provincial administrative units in China as the explanatory variables, including Shenzhen, Beijing, Tianjin, Shanghai, Chongqing, Guangdong and Hubei, all of which have implemented the pilot carbon trading system. In 2003, China proposed the concept of “scientific development”. Given the nation’s authoritarian political environment, this concept was set to become the new direction of local governments. As a result, local officials attached great importance to the concept of environment protection at this time. In the future, 2003 may be seen as an important turning point in the trajectory of carbon emissions. Given this history, we examined the changes in carbon emissions in selected provinces from 2004 to 2015.
Since the calculation method for carbon emissions is complex and involves a highly specific discipline, the carbon emissions data for each province in this study were obtained from the database website China Emission Accounts and Datasets (CEADs). The independent variable and control variable data were obtained from the following databases: the Chinese Statistical Yearbook, the National Bureau of Statistics, and the Chinese Political Elite Database.
The variables of carbon emissions, economic factors, and social factors were continuous variables obtained from the databases mentioned above, whereas the variables of political factors were obtained by the author through the selected database and quantified for measurement. Among them, the length of an official’s term was defined using the method in the existing relevant literature (i.e., the number of years from the beginning of the post to final departure from the position). Since the official appointment and departure time usually occurs in a certain month of a certain year, if the official takes office in the first half of the year (January–June), the year was taken as the starting year of his/her appointment; otherwise, the official term was calculated from the next year. Based on the previous studies, officials’ education was measured by sequencing variables and we divided them into 1 (senior high school or below), 2 (junior college or bachelor’s degree), 3 (master’s degree) and 4 (doctorate) [
38]. The sources of the provincial governors were measured by setting dummy variables, in which the reference group was composed of officials promoted from other provinces.
Previous studies have shown that carbon dioxide emissions are affected by various economic and social factors. The consensus is that there is a negative correlation between economic and social development and carbon emissions. This study considers influencing factors as control variables, including the variables of per capita GDP, population, GDP energy consumption and added value of secondary industries.
Per capita GDP (per GDP) was used to reflect the level of economic development in a region. As for the correlation between the economy and carbon dioxide emissions, the mainstream view supports an inverted “U” relationship, namely, the Environmental Kuznets Curve [
39]. This means that the environmental quality degrades with an increase in income within a certain range, then improves after the income reaches a certain level. However, another stream of research opposes these findings and rejects the Environmental Kuznets Curve [
40]. No consensus has been reached regarding the relationship between economic growth and an increase in carbon dioxide emissions, which may be due to the different economic development stages of the research objects. Because the levels of economic development differed from region to region within China, we believe that provinces and cities with a higher per capita GDP have a greater demand for economic development, and rapid economic development will increase carbon emissions; thus, per capita GDP is positively correlated with greenhouse gas emissions.
Regarding population, Birdsall stated that population growth can affect greenhouse gas emissions in two ways [
41]. First, a larger population will have a higher energy demand, which is accompanied by an increase in carbon emissions. Second, rapid population growth often leads to environmental destruction, which is not conducive to the reduction of carbon dioxide. Kaya established the correlation between greenhouse gas emissions and population through the identity of factor decomposition [
42]. Through the modified Kaya identity, STIRPAT, and other models, follow-up research has shown that there is a stable and long-term positive correlation between population growth and the urbanization process and carbon emissions. Therefore, we expect a positive correlation between population and carbon emissions.
In terms of GDP energy consumption, the production of carbon dioxide mainly comes from energy consumption, and the carbon emissions of a region are inevitably affected by local energy utilization. The energy consumption per unit of GDP measures the energy utilization of provinces and cities. The measurement unit is the energy consumption per ten thousand CNY of GDP, which reflects the economic benefits of energy consumption. Based on this, we expected a positive correlation between GDP energy consumption and carbon emissions.
As for the added value of secondary industries, empirical studies have proven that secondary industries play an important role in carbon emissions, and the adjustment of industrial structure is an important driving factor of changes in carbon emissions [
43]. We used the secondary industry value added ratio to measure the level of industrial structure. Compared with primary and tertiary industries, the energy demand of secondary industries is relatively high. Therefore, it was more intuitive to select the added value of the secondary industries. Based on this, we expected the value-added ratio of the secondary industries to be proportional to carbon emissions. The variables are shown in
Table 1 above.