3.1.2. Independent Variables
At present, there are two ways to measure environmental regulation policies: single index and multiple indexes. However, environmental regulation policies are multi-dimensional, and a single indicator cannot comprehensively measure the implementation intensity of environmental regulations [
18]. Many scholars tend to use multiple secondary indicators to construct classified comprehensive indicators of environmental regulation. For example, ref. [
1] constructed a combination indicator of command-control, economic incentive, and voluntary environmental regulation. Since voluntary policy tools are not commonly applied in China, most enterprises lack the awareness to voluntarily disclose environmental data [
19]. Therefore, this paper mainly considers the influence of command-control tools and economic incentive tools.
Command-control policy tool is an environmental governance tool widely used in the field of environmental protection all over the world. It plays an essential role in solving ecological and environmental problems. According to neoclassical economics, the Pareto Optimality can be achieved in a perfectly competitive market. However, in reality, due to the limitations of various factors, the Pareto Optimality cannot be realized, and there is market failure in environmental problems [
1]. Therefore, the government must intervene in environmental problems. The command-control policy tool is a government-led coercive environmental regulation policy. It uses laws and other administrative measures to limit pollution emissions and improve environmental quality. This paper selects the number of local cumulative effective environmental regulations, the number of administrative rules, and the number of admissible environmental administrative penalties to measure the command-control policy tool [
20,
21].
The economic incentive policy tool is a kind of market policy tool with an incentive effect. It guides enterprises in decision-making through market signals, directly linking their costs and benefits to environmental management practices. Give enterprises the right to make their own choices and use the minimum cost to achieve the desired environmental effect to achieve the best allocation of social resources. Environmental problems have the characteristics of externality. The way to solve environmental problems is to internalize external effects, which is also the main idea of economic incentive policy tools [
22]. Economic incentive policy tools mainly include environmental protection tax, environmental trade, and subsidies. As the predecessor of environmental protection tax, pollutant discharge fee is an indicator to measure economic incentive policy tools. For environmental trade, this paper selects two proxy indicators, SO
2 emission right trade and C emission right trade [
23]. For subsidies, the EPS index measures the government’s actual subsidies to renewable energy power generation by the ratio of benchmark electricity price for the wind-slar generation to average electricity price. As the portion of benchmark electricity price for the wind-solar generation is higher than the benchmark electricity price for local coal-fired units, the Chinese government gives subsidies [
24]. Therefore, inspired by the EPS index, this paper selects the proportion of benchmark electricity price for the wind-solar generation to the benchmark electricity price for local coal-fired units to measure the actual degree of government subsidies.
This paper adopts a comprehensive indicator construction method to construct command-control environmental regulation comprehensive indicators and economic incentive environmental regulation comprehensive indicators, respectively [
25,
26].
First, as in Equation (1), the paper standardises the various individual indicators. Where,
is the original value of index
j in area
i;
and
represent the maximum and minimum values of index
j in all provinces, respectively;
is the standardized value of index
j.
Second, this paper uses the index reflecting the regional industrial scale and the number of enterprises to calculate the adjustment coefficient. This could partly avoid the potential distortion of indicators to the actual situation. As in Equation (2),
is the adjustment coefficient of index
j in area
i,
and
are the variables that are supposed to control the possible influencing factors. For command-control policy tools,
and
are represented by industrial value added and the number of industrial enterprises above the size respectively, a bigger
value for command-control policy tools literally means the higher efficiency or scale effect of firms, which generally means more government involvement in China’s political and economic system. For economic incentive policy tools,
and
are scaled by total GDP and industrial GDP instead, this is supposed to adjust the potential influences of industrial structure to the measured policy tools.
Finally, as in Equation (3), this paper calculates environmental regulation intensity for command-control policy tools and economic incentive policy tools respectively. Where, represents the intensity of different types of environmental regulations in area ; denotes different types of environmental regulation; denotes the number of basic indicators.
3.1.3. Mediator Variables
When checking the mediating role of public health between environment regulation and economic development, the common practice for the measurement of public health is to use relevant variables [
27]. Among all proxy variables, the total health expenditure is one of the most effective indicators to measure a country’s medical and health status, which reflects national support for health and the importance people attach to health. For example, Refs. [
28,
29] show that the investment of health resources does not worsen national health but rather contributes to its improvement.
However, the public health could be better scaled by using actual public health indicators, and the real effect of public health on environment and economy can thus be tested further. Plus, using health expenditure as a proxy variable may suffer from the problem of preset conclusion. As shown in
Figure 1, the total health expenditure consists of three components: government health expenditure, social health expenditure, and personal health expenditure. Intuitively, as these categories of expenditure relate to the government control, public investment, and personal health respectively, it can be easily linked to the existence of the mediating role of total health expenditure on environment and economy. As a result, we use provincial death rate to measure the public health, and it is more suitable than some specific morbidity and mortality indicators considering other data used in this work.