2.1. Theoretical Model
2.1.1. Environmental Policy Uncertainty Worsens Enterprise Pollution Emissions by Inhibiting Enterprise Innovation
Based on the research by Bloom, Bond, and Van Reenen [
24], this study expounds how the uncertainty of environmental policy affects the pollution emission of enterprises. It is assumed that the production of enterprises in period t conforms to the Cobb–Douglas production function, and the specific function form is as follows:
In Formula (1),
refers to the production conditions of the enterprise, mainly including its own production conditions and external factors;
is the capital stock of the enterprise;
is the labor stock of the enterprise; and
is the knowledge stock of the enterprise. It is assumed that
is proportional to the enterprise’s innovation capability
, so:
At this point, the demand function faced by the enterprise is:
where
B is the demand shock faced by the enterprise. Based on the relationship between demand and supply, the income function of the enterprise is as follows:
We defined
, where
X indicates that the production and investment of enterprises are affected by the uncertainty of environmental policies, making
. To judge the relationship between environmental policy uncertainty
and innovation capability
, we further simplified the model along with the research ideas of Bloom, Bond, and Van Reenen [
24], assuming that capital
K and labor
L are completely flexible and their variable costs are 0. We substituted Formula (2) into Formula (4), and the return function is:
To a homogeneous equation:
The emission reduction in enterprise pollution is not only affected by the original pollutant discharge but is also closely related to the enterprise innovation ability. There is a positive correlation between enterprise innovation capacity and emission reduction. S is the influence coefficient of enterprise innovation capacity on enterprise emission reduction (0 < s < 1). Additionally, the technological innovation of enterprises reduces the cost of enterprises’ pollution emission; e is the proportion of the impact of technological innovation on the cost of enterprises’ emission reduction (0 < e < 1). Additionally, the innovation cost of enterprises is affected by the uncertainty of environmental policy and innovation capability.
Assume that the total cost of the enterprise is
, which mainly includes emission cost
and innovation cost
, so:
In Formula (8),
measures the impact of environmental policy uncertainty on innovation capability (
). Then, the total cost is:
The total profit function of the enterprise is:
When profit is maximized, the first derivative of profit is 0, then:
According to Formula (12), the relationship between environmental policy uncertainty
and enterprise innovation
is as follows:
According to Formula (13), the uncertainty of environmental policy will inhibit the improvement of enterprises’ innovation ability, whereas the technological innovation of enterprises will promote the upgrading of industrial structure, improve energy utilization efficiency, and further reduce enterprises’ pollution emissions [
25,
26]. Therefore, environmental policy uncertainty can inhibit enterprise innovation and aggravate enterprise pollution emissions.
2.1.2. Environmental Policy Uncertainty Increases Enterprise Pollution Emissions by Inhibiting the Increase in Human Capital Stock
The production function is adjusted on the basis of Formula (1), and the meaning of the letters remains unchanged. The specific function form is as follows:
The larger the inflow of labor, the larger the stock of human capital [
27]. The specific function form is as follows:
There is a positive correlation between the stock of human capital and emission reduction, and s1 is the influence coefficient of the stock of human capital on emission reduction (0 < s1 < 1). Human capital can internalize technical knowledge to overcome the diminishing marginal returns of production and reduce the cost of enterprise pollution emission. e1 is the proportion of human capital affecting enterprise emission reduction cost (0 < e1 < 1). The cost of introducing human capital is affected by environmental policy uncertainty and the effect of human capital promoting emission reduction.
Assume that the total cost of the enterprise is
, which mainly includes emission cost
and human capital introduction cost
, so:
is to measure the impact of environmental policy uncertainty on the cost of introducing human capital (
). Through the derivation of Equations (9)–(12), it can be concluded that:
According to Formula (18), the uncertainty of environmental policy will inhibit the improvement of enterprise human capital stock. The new economic growth theory states that human capital can overcome the law of diminishing marginal returns on means of production and then realize economic growth and enterprise emission reduction [
28,
29]. Therefore, environmental policy uncertainty can aggravate enterprises’ pollution emission by inhibiting the increase in enterprises’ human capital.
2.1.3. Environmental Policy Uncertainty Worsens Pollution Emissions by Inhibiting Foreign Investment
The production function is adjusted on the basis of Formula (1), and the meaning of the letters remains unchanged. The specific function form is as follows:
As foreign investment will increase the production and working capital of enterprises, it is assumed that
is proportional to the foreign investment of enterprises, and the specific function form is as follows:
The increase in foreign investment makes enterprises strict in the formulation of environmental standards, and most multinational companies will implement international environmental standards, thus reducing the pollution emissions of enterprises. The amount of foreign investment is positively correlated with emission reduction, and s2 is the influence coefficient of foreign investment on emission reduction (0 < s2 < 1). Foreign investment can expand the production scale of enterprises to produce scale effect and reduce the pollution emission cost of enterprises. e2 (0 < e2 < 1) is the proportion of foreign investment affecting enterprise emission reduction cost, which is affected by both environmental policy uncertainty and foreign investment income.
Assume that the total cost of the enterprise is
, which mainly includes emission cost
and human capital introduction cost
, so:
is to measure the impact of environmental policy uncertainty on foreign investment returns. Through the derivation of Equations (9)–(12), it can be concluded that:
Increased foreign investment can significantly improve financial support for enterprises to reduce emissions. Additionally, foreign enterprises bring advanced emission reduction technologies that facilitate the implementation of international environmental standards in China. Moreover, by introducing green cleaning products from the home country, foreign investment has a clean technology spillover effect on its upstream and downstream industries, which is conducive to promoting emission reduction in domestic enterprises. Therefore, environmental policy uncertainty can inhibit foreign investment and aggravate the pollution emission of enterprises.
2.2. Mechanism Analysis
Currently, China’s economy is in a transition phase, and the government’s policy environment is experiencing significant fluctuations. The main feature of this phase is the increasing fluctuations and uncertainty of environmental policy. On the one hand, advanced production and pollution discharge technologies require enormous human and material investment, whereas the positive externality of technological innovation reduces the willingness of enterprises to invest in innovation. Additionally, environmental policy uncertainty intensifies the severe fluctuation of micro-enterprise performance, which increases the difficulty of operation. Enterprise managers will avoid the uncertainty of investment returns as much as possible because of their risk-averse and profit-oriented mindset and pay more attention to short-term investment and investment with definite returns. Then, they will reduce the investment in R&D [
30]. Additionally, environmental policy uncertainty reduces the willingness of enterprise managers to invest in innovation, which lowers enterprise innovation ability [
31]. On the other hand, the impact of such uncertainty on the production and earnings of enterprises is unknown. Enterprises’ earnings will also fluctuate because of the increased uncertainty of environmental policies. When the fluctuation of enterprises’ earnings is high, information asymmetry between enterprises and external investors increases accordingly, and creditors have difficulty predicting the likelihood of recovery and may reduce their risk by raising loan rates, demanding guarantees, or even not lending. Additionally, existing shareholders want to receive more cash dividends in the case of unexpected circumstances caused by uncertainty, and potential investors demand a higher risk premium, which leads to higher equity financing costs. Therefore, the increased uncertainty of environmental policies increases the financing difficulty of enterprises, forcing them to retain abundant cash to cope with the impact of environmental policy uncertainties. The lack of funds reduces enterprises’ innovation investment willingness. Therefore, an increase in environmental policy uncertainty inhibits the improvement of enterprise innovation ability. Advanced green production technology can improve the energy efficiency of enterprises, help enterprises break the constraints of resources and environment, and promote the reduction in enterprise emissions. In summary, this study proposes Hypothesis 1.
Hypothesis 1 (H1). Environmental policy uncertainty can inhibit the improvement of enterprises’ innovation ability and aggravate enterprises’ pollution emission.
When the uncertainty of environmental policy increases, it induces enterprise managers to make investments with definite short-term benefits. The tendency of enterprises to choose investment projects with higher risks and less obvious short-term returns will be weakened. The human capital investment of enterprises has the characteristic of not having an obvious income effect, and relative to other factors of production, human capital adjustment cost is low [
32]. In order to cope with the unknown situation brought by the uncertainty of environmental policies, enterprises are more inclined to keep more cash to withstand the unknown risks they may face, and enterprises will reduce the investment in human capital. Human capital input is mainly divided into employee training and employee health input. When enterprises reduce employee training input, it is difficult for employees to improve their working skills. At the same time, in order to reduce expenses, enterprises will also increase the labor supply time of employees. Employees are also faced with the risk of being fired and income reduction, which damages the physical and mental health of employees. As a result, the healthy human capital of employees is reduced. When the health of employees is damaged, their enthusiasm to participate in labor will also be reduced. Additionally, the more unstable the enterprise environment, the stronger the mobility of employees, which also makes the implementation of internal control more difficult. It is difficult to maintain the stock of human capital effectively and stably. As an important aspect of economic and efficient green development, human capital plays a significant role in breaking through the constraint of diminishing marginal returns and maximizes resource utilization efficiency. On the one hand, human capital can reduce the increase in pollution emissions caused by low-level labor. A high level of human capital can guide the transformation of a low-skilled labor force to a high-skilled labor force and optimize the human capital structure of enterprises [
33]. On the other hand, it promotes technological innovation for emission reduction and gives full play to the energy-saving production advantages of products, thus maximizing resource utilization efficiency and reducing the enterprise pollution emission intensity [
34]. In summary, this study proposes Hypothesis 2.
Hypothesis 2 (H2). The uncertainty of environmental policy increases the pollution emission of enterprises by inhibiting the increase in human capital stock of enterprises.
The fundamental purpose of foreign investments is profit. When the uncertainty of environmental policy increases, it becomes difficult to accurately predict the income of foreign investment. To maximize interests and avoid risks, investors tend to invest in enterprises with clear and stable returns; they may even reduce investments in domestic companies because it is difficult to accurately control the risk of investment returns. The uncertainty of environmental policies has aggravated the fluctuation of enterprise performance and raised the financing difficulty of enterprises, which has hindered the production and operation of domestic enterprises. In the case of uncertain returns, foreign enterprises further reduce investment to reduce risks, so the increase in environmental policy uncertainty reduces foreign investment. Foreign investment has been a key component of economic growth and an important means of transferring modern technology and providing employment to host countries. Especially in recent years, inflows of foreign investment have become more important than international trade [
35]. Foreign investment can not only increase the formation of resources and capital, but more importantly, it is an important channel for transferring production technology, entering new international markets, improving production capacity, and reducing unemployment—these are even more important for developing countries. Increased foreign investment has made companies more stringent in setting environmental standards. Most multinational companies implement international environmental standards, which reduce their emissions. Moreover, foreign investment can expand the production scale of enterprises to produce a scale effect and reduce the cost of pollution emission. Therefore, with the increase in foreign investment resulting in the spillover of green production technology, the enterprise pollution emission intensity is reduced [
36]. In conclusion, this study proposes Hypothesis 3.
Hypothesis 3 (H3). Environmental policy uncertainty worsens pollution emissions by inhibiting foreign investment.
2.3. Models, Variables, and Data
2.3.1. Research Model
To verify the impact of environmental policy uncertainty on enterprise productivity, the benchmark model is set as follows:
indicates the enterprise, indicates the industry, indicates the region, and indicates the year. The explained variable represents the pollution emission intensity of enterprises, and the core explanatory variable represents the uncertainty of environmental policy. is the control variable. represents the firm fixed effect, represents the industry fixed effect, represents the region fixed effect, and represents the year fixed effect. is the random perturbation term.
2.3.2. Variable Selection
The Explained Variable Enterprise Pollution Emission Intensity
To measure the enterprise pollution emission intensity comprehensively and accurately, in this study, the comprehensive index method was used. Based on data availability and the harmfulness of pollutants, we mainly selected five individual indicators of industrial wastewater: chemical oxygen demand, industrial waste gas, sulfur dioxide, smoke, and dust emissions to measure the intensity of enterprise pollution emission [
37]. First, the original data of these pollutant indicators are linearly standardized:
represents the emission of pollutant
from enterprise
in phase
. Max and min indicate the maximum and minimum emissions of pollutant
by all enterprises each year. Second, the adjustment coefficient of enterprise
pollutant
is calculated:
Then,
represents the average level of pollutant
discharged by all enterprises in China. Finally, by combining Equations (25) and (26), the comprehensive index of pollution emission of enterprise
can be obtained:
The higher the value of , the greater the pollution emission intensity of the enterprise.
Core Explanatory Variable
The change in both external and internal environment increases the uncertainty of environmental policy, which causes a fluctuation in the enterprise’s sales revenue [
38]. Therefore, the uncertainty of environmental policy can be measured by the fluctuation in the company’s sales income, and the standard difference in sales income can be used to measure the uncertainty of environmental policy [
39]. Ghosh and Olsen [
40] used the standard deviation of a company’s sales revenue to measure environmental policy uncertainty to eliminate the natural sales income’s growth.
The ordinary least squares method was used in this study to estimate the abnormal sales income of enterprises in the past three years.
is the sales revenue of the enterprise and is the year. If the participation regression is the value of the past four years, then ; if participation regression is the value of the past three years, then , and so on. The regression residual of Formula (28) is the abnormal sales revenue of the enterprise. The standard deviation of abnormal sales revenue for the past three years is calculated, and the standard deviation by is divided by the average sales revenue for the past three years to obtain the uncertainty of environmental policy without industry adjustment. The calculated environmental policy uncertainty is divided by the median of environmental policy uncertainty in the same industry to obtain the environmental policy uncertainty ().
Moderating Variables
The moderating variables are enterprise innovation, human capital, and foreign investment. Enterprise innovation (
) is measured by the total number of patents granted per year; the existing literature suggests that employees without higher education are usually not considered within the scope of human capital [
41]. However, the Chinese Industrial Enterprise Database only counted the educational level of employees in 2004, so the proportion of employees with college degrees in 2004 was used to measure the human capital of enterprises (
). The amount of foreign investment in local enterprises (100 million) was selected to measure foreign investment (
).
Other Variables
The selection of control variables mainly includes enterprise labor productivity (): to measure it, the total industrial value of the enterprise is divided by the total number of employees (10,000/person); wage level (): to measure it, enterprise wages and benefits are divided by the total number of employees (10,000/person); industrial structure (): it is measured by the ratio of regional secondary industrial output value to total GDP; rationalization index (): to measure it, the output value of each industry is divided by the corresponding number of people to obtain the per capita output value of each industry, and then the calculation results of each industry are added to obtain the rationalization index of each region; the dummy variable of state-owned enterprises (): 1 for absolute state-owned holding, 0 for other cases; import and export enterprise (): if the export delivery value of the enterprise is greater than 0, the ex value is 1; otherwise, 0; enterprise size (): if the number of employees exceeds 1000, the value is 1 for large enterprises and 0 for small and medium enterprises; enterprise age (): the enterprise age is calculated by subtracting the establishment year from the current year; capital labor ratio (): to measure it, the total assets are divided by the number of workers (10,000/person); industry category dummy variable (): industry category 0 indicates polluting industry, and 1 indicates clean industry.
2.3.3. Data Source and Processing
The data source of this study was the combined data of the China Industrial Enterprise Database, China Industrial Enterprise Pollution Emission Database, and China Patent Database. The China Industrial Enterprise Database contains the information of all state-owned enterprises and non-state-owned enterprises with an annual output value of more than RMB five million in China, mainly including enterprise name, organization code, legal representative, holding status, main business income, etc. The annual data volume is as high as 340,000 pieces, and the content is detailed. The statistical output value of enterprises accounts for more than 90% of the total output value of Chinese enterprises. The pollution emission database of China’s industrial enterprises is the most reliable data collected by the National Bureau of Statistics. It mainly collects statistics on enterprises with serious pollution discharge in each region. The table primarily includes the enterprise name, legal representative, organization code, wastewater, exhaust gas, and other pollution discharge indicators. For the purpose of research, this study merged the above two kinds of data. Firstly, the two kinds of data were processed according to the now commonly used processing methods [
42]. Second, the company name and year were matched with patent data, and the matching data of the second and third steps were combined according to the organization code and year, and the duplicate values were removed. The combined data provided pollution emission information on enterprises with annual output values of more than RMB five million. Finally, certain enterprises with business status, state-owned status, enterprise size, industrial added value, or intermediate input missing, or negative values were deleted.
The State Intellectual Property Office is the authoritative source of China’s Patent Database, which mainly collects statistics on enterprises’ patent applications and authorization over the years. The content of China’s Patent Database mainly includes the enterprise name, organization code, invention patent, utility model patent, and design patent. The data of the Chinese Patent Database, Chinese Industrial Enterprise Database, and Chinese Industrial Enterprise Pollution Emission Database were combined using the above-discussed matching method. Finally, the combined data of the Chinese Patent Database, Chinese Industrial Enterprise Database, and China Industrial Enterprise Pollution Emission Database were obtained. About 510,000 enterprises participated in the empirical analysis.
As the latest statistical year of the China Industrial Enterprise Database is 2014, this study used statistical data from 2002 to 2014 to conduct empirical regression.
Table 1 shows the descriptive statistics of variables in this study. There is a significant difference in pollution emission intensity among enterprises, with the minimum value being 0.001 and the maximum value being 18.570. There is also substantial difference in environmental policy uncertainty faced by enterprises, with the minimum value being 0.152 and the maximum value being 16.350.