Environmental regulation effects from the perspective on the industrial chain: evidence from energy enterprises in China

More attention has been paid to environmental regulation of greenhouse gas emissions in the energy industry under the transformation of industrial structure. This paper takes microdata of Chinese energy enterprises from 1998 to 2012 as a sample to build a duty-sharing model, analyzes the effect of environmental regulations on the industrial chain, and explains the “ double growth ” phenomenon that occurred in China, which is nothing short of miraculous in terms of the environment and economy. In the industrial chain, the environmental obligations and responsibilities will be shared between upstream and downstream enterprises due to trade linkages. This paper ﬁ nds that environmental responsibilities will move forward through the industrial chain when environmental regulations are strengthened. Downstream companies will loosen “ relative ” control constraints, thereby expanding output but increasing demand for upstream products. Different from the existing research, we claim that, since environmental regulation has a differential effect on the industrial chain, it will promote the growth of output in the entire chain, in contrast to the theory of “ cost compliance ” , which claims that environmental regulation will inevitably lead to the output. Based on this research, this paper puts forward some suggestions and insights on how the government implements environmental regulations.


Introduction
In the early stages of reform and opening up, China's rapid economic growth was characterized by a extensive development model marked by high energy consumption, high pollution, and low efficiency.As China's economic growth model transitions from rapid growth to high-quality development, the country has been actively embracing the concept of sustainable development of natural resources, encapsulated in the phrase "clear waters and green mountains are as valuable as mountains of gold and silver."The negative externalities of environmental pollution and the scarcity of natural endowments have led to societal demand for government environmental regulation.Because enterprises focus too much on private costs and ignore social costs, the production process generates huge negative environmental externalities and causes the market mechanism to fail.Environmental regulation, as an effective public policy and instrument of the government, imposes effective external constraints on enterprises and endogenizes social costs, thus realizing the use of the "visible" hand of the government to correct the effective operation of the market mechanism.To this end, China has enacted and promulgated a large number of laws, regulations, and norms to thoroughly improve the ecological environment and eliminate the serious problems caused by pollution, forming a comprehensive system of environmental regulation policies."Environmental protection inspectors" have demonstrated China's determination and confidence in tackling environmental pollution problems (Liu et al., 2022a;Li et al., 2022;Liu and Sun, 2023).The study of the effects of environmental regulation has not only been widely debated in the theoretical community but has also become a focus of attention for the government and practitioners.
Regarding the effects of environmental regulation, academic circles are mainly concentrated on cost effects (Posner and Landes, 1985;Hazilla and Kopp, 1990;Jaffe and Palmer, 1997;Brännlund et al., 1998;Pickman, 1998;Ederington and Minier, 2003;Gray and Shadbegian, 2003).In addition, according to the innovation compensation effect (Porter and Linde, 1995;Hamamoto, 2006;Ashford and Hall, 2011;Kneller and Manderson, 2012;Ford et al., 2014), the "cost follow" and "innovation compensation" are then derived.Specifically, the "cost follow" theory holds that after the internalization of social costs, enterprises cannot digest the burden through production or operation, which in turn causes output and competitiveness to decline.The theory of "innovation compensation" holds that after facing the external impact of the policy, firms can effectively adjust production and operation strategies and then form a loss of effects caused by long-term efficiency improvements and the increase in compensation costs.However, from the perspective of the development of the industry, the industrial sector with the most concentrated environmental regulations has no sign of the so-called output attenuation in the theory of "cost follow".According to the statistics of the China National Bureau of Statistics in 2020, the profit of industrial enterprises above a designated size was 6451.6 billion yuan, an increase of 4.1% compared with the previous year; and the manufacturing industry achieved a profit of 5579.5 billion yuan, an increase of 7.6%.Environmental regulation had the greatest effect on the energy raw materials and energy products industries, nonmetallic mineral products industries, and black metal smelting and pressure-proclaiming industries, with increases of 3.4%, 2.8%, and 6.7%, respectively.Of the 596 major industrial product statistics, 376 were achieved year-on-year, with a growth surface of 63.1%.From the perspective of environmental regulation, energy conservation, and emission reduction will improve environmental quality and improve overall industrial output (Jin et al., 2016;Chen and Xu, 2021;Wu and Gao, 2021;Chen et al., 2022) but do not form the technical effect proposed by the theory of "innovation compensation" (Dou and Han, 2019;Tian et al., 2021;Wang et al., 2023).It can be seen that the "cost follow" theory and "innovation compensation" doctrine cannot explain the phenomenon of "dual growth" of China's environment and economy.
Following the proposal of China's "dual carbon" targets, research related to environmental regulation has been enriched.Many scholars have pointed out that command-and-control environmental regulatory policies, such as the "Two Control Zones," tend to lead to campaign-style emission reduction activities, such as shutdowns and production halts (Cai et al., 2016).In contrast, market-incentive environmental regulatory policies, such as the pollution rights trading system, carbon emission trading system, and energy use rights trading system, can promote energy conservation, emission reduction, and pollution control through clear property rights delineation (Chen and Lin, 2021;Che and Wang, 2022;Huang et al., 2022).Additionally, public participation environmental regulatory policies, such as the disclosure of environmental information, can effectively complement the top-down government regulation and bottom-up public supervision in the environmental protection domain (Chu et al., 2022).
Therefore, based on the perspective of the industrial chain, this paper analyzes the difference in the policy effect of environmental regulation upstream and downstream of the industrial chain by taking the environmental protection of the energy industry in 2006 as the research sample and then analyzing the "relative" deregulation effect of environmental regulation.Different from the existing studies, the possible innovations and academic contributions of this paper are as follows: 1) Establish an upstream and downstream environmental responsibility-sharing model, analyze enterprises under the industrial chain framework, and then find that environmental regulatory policies have heterogeneous effects on the industrial chain, and put forward theoretical hypotheses.2) Using micro-data and econometric methods, this paper verifies theoretical hypotheses, proposes hypotheses on the effect of "relative" deregulation of environmental regulations, and explains the phenomenon of "double growth" of China's environment and economy.3) The regional heterogeneity of the impact of environmental regulatory policies on firm performance is further explored.
The remainder of this article is organized as follows: The second part explains the implementation strategy of environmental protection regulatory policies in the energy industry in 2006, builds the industrial chain upstream and downstream environmental regulation responsibility-sharing models, and proposes the corresponding assumptions.Based on the inspection and analysis of the double method, the assumptions on the sharing model of environmental regulation responsibility are proposed.The fourth part summarizes the corresponding research conclusions and puts forward targeted policy suggestions.

Theoretical model and research hypothesis
First, this article systematically reviews the implementation strategy of environmental inspection in 2006 to refine the corporate-related strategies.Second, based on abstract environmental regulations and corporate strategies, this article draws on the research ideas of Hay and Spier (2005), Helland et al. (2020) to build an enterprise environmental responsibilitysharing model for the industrial chain of the energy industry and introduces environmental regulations to the industry.In the chain research framework, the "relative" relaxation control effect focuses on the implementation of environmental regulations.

Environmental regulation strategies for implementing the energy industry
The pollution incident in the Songhua River basin in November 2005 sparked national attention.In January 2006, the State Environmental Protection Administration (SEPA) issued "the Notice on Checking the Environmental Risks of New Energy and Petroenergy Projects" (No. 42006) to conduct a nationwide inspection and remediation of the energy industry.Since February 2006, SEPA has dispatched five inspection teams to inspect key energy and petrol energy projects worth more than 450 billion yuan in 127 sensitive areas.
The key contents of the investigation mainly include environmental risk and prevention implementation, environmental sensitivity investigation of project site selection, the project's danger, toxicity, and risk investigation of materials and products, and the risk sources such as project environmental accidents and the risk reduction of enterprises to reduce risk.The environmental investigation organization's main methods include data review and on-site inspection of the combination of the two ways, local environmental protection administrative departments by the principle of territorial selfinspection, the state Environmental Protection Administration sent by the inspection team by the relevant standards of key energy projects (about 20) for investigation.The handling methods of the investigation results mainly include supplementing and rectifying the environmental risk assessment report within a specified time limit and handing over the original environmental impact assessment report to the approval department for review.If the "three simultaneous " (Three steps of a project are carried out simultaneously) of the construction project fail to pass the acceptance inspection, it is necessary to supplement the corresponding environmental risk emergency plan and update on the implementation of accident prevention measures.
Judging from the implementation of environmental protection investigations organized by the State Environmental Protection Administration of the People's Republic of China in 2006, environmental protection investigations mainly adopt enterprise reports and inspection team verifications.It can be seen that corporate reports and data verification are particularly important.Therefore, when this article constructs the theoretical model, the corresponding enterprise reports the environmental emissions coefficient and the enterprise reporting strategy and environmental regulation intensity are used as strategic variables for corporate environmental responsibility.

Economic environment and main body setting
It is assumed that enterprises in the market are divided into upstream and downstream.Upstream enterprises produce goods with negative environmental externalities and sell them to downstream enterprises in different regions.The number of goods sold by the upstream enterprise to the downstream enterprise in region i is denoted as x i , where i 1/N.Downstream enterprises purchase upstream products for secondary processing and the product is directly sold to the end consumers.Its production function is: where y i represents the final sales volume or output of the downstream enterprise in region i.The production function is assumed to be an increasing concave function of x i , as In this paper, the upstream enterprises in the energy industry have certain monopoly characteristics, while the downstream enterprises are in a perfectly competitive market.The government imposes environmental regulations in the i region, and the upstream companies bear α(z i , γ) share of punishment A, denoted as α(z i , γ)A.As enterprises produce negative environmental externalities and carry out liability-sharing punishment, the downstream enterprises bear the corresponding responsibilities E [1 − α(z i , γ)]A|γA }, where z i represents the intensity of the environmental supervision implemented by the government in the i region, γ represents the coefficient of negative environmental externalities reported by upstream enterprises, and its value is γ ∈ [0, 1].At the same time, assuming that the greater the intensity of government environmental regulation, the upstream enterprise will bear a correspondingly greater responsibility or punishment, namely, ∂α(z i , γ)/∂z i > 0. At the same time, it is assumed that the greater the negative externality reported by the enterprise, the greater the liability or punishment borne by the upstream enterprise, namely, ∂α(z i , γ)/∂γ > 0. Finally, it is assumed that the marginal liability of enterprises reporting negative environmental externalities has a negative relationship with the intensity of environmental regulations, namely, ∂ 2 α(z i , γ)/∂z∂γ ≤ 0.

Upstream enterprises
Since the upstream enterprise implements a multiregional sales strategy and has a certain market pricing power, its objective function is: where k i (x i ) in Eq. 1 represents the product pricing of upstream enterprises.Then, the optimal processing of γ is performed on Eq. 1, and Eq. 2 is obtained: From Formula (2), the optimal report of the corresponding upstream enterprise can be found to be the outer part of the environment, which is recorded as γ*.For further treatment of Formula (2), the relationship between the optimal report of the upstream enterprise's optimal reporting environment and the change in local environmental supervision changes is: where π(γ) in Formula (3) represents the target profit function of the upstream enterprise.The production of the corresponding products of the enterprise must be affected by the optimal report of the external part of the environment.The greater the report of the external part of the environment, the greater the corresponding reduction of the output of the product, so ∂xi(γ) ∂γ < 0. According to the profit function of classic enterprises, corporate profit functions are often a concave function, that is, ∂γ 2 < 0. Therefore, for any region, there are ∂γ* ∂zi > 0. This shows that when government environmental supervision is increasing, the better the most optimal report of upstream enterprises.Correspondingly, the function of local environmental regulation and constraints will be less than the effectiveness of the regional environmental regulation, and the corresponding nonequal form (4) will be obtained (4), which is: As companies report that the environmental externalities coefficient of γ ∈ [0, 1] is bounded, the corresponding ∂γ* ∂zj must be bounded.Therefore, if guarantee type (4) is set up, then ∂γ* ∂zi must be less than ∂γ* ∂zj of the lower bound.When the regional share outside i is infinitely large, the region's environmental regulation effect i will be null and void, namely, lim This shows that in a relatively loose market structure, heterogeneity caused by changes in the intensity of local environmental regulation does not have a significant impact on the whole.

Downstream enterprises
For downstream enterprises in a perfectly competitive market, their target profit function is: After optimization treatment of Eq. 5, the following can be obtained: For Eq. 6, if the upstream enterprise is in a perfectly competitive market with homogeneous environmental regulations, Eq. 6 can be translated into: It can be seen that in this case, environmental regulation has no effect on the behavior of downstream enterprises.Therefore, when the intensity of environmental regulation is increased, the regulation of upstream enterprises is actually strengthened.Furthermore, this paper carries out a comparative static analysis between the optimal x i and environmental regulation intensity and obtains the change relationship between environmental regulation and downstream enterprise behavior as follows: ∂γ* ∂zi 0, we simplify Formula (8) and obtain: When the upstream market is a perfectly competitive market, then ∂ki(xi) ∂xi 0, and Eq. 9 degenerates into: At this time, due to ∂α(zi,γ*) ∂zi > 0 and f xx (x i ) < 0, we obtain ∂xi ∂zi > 0. This shows that when the intensity of environmental regulation is strengthened, its emphasis will be moved forward and the upstream environmental regulation will be strengthened so that the downstream enterprises can obtain the "relative" deregulation effect and, thus, expand the consumption and investment of upstream commodities.It can be seen that an increase in environmental regulation intensity will promote an increase in upstream industry output because the relative deregulation of downstream enterprises will expand downstream output and increase the demand for upstream products.Therefore, the corresponding hypothesis is proposed: when the government strengthens environmental regulation, the demand of downstream enterprises for upstream products will increase, and the output of upstream enterprises will also increase significantly.

Construction of measurement models
To test environmental regulations in the industrial chain, the upstream and downstream enterprises in the industrial chain can implement the increase in output value before and after environmental protection inspection in 2006 to determine the role of environmental regulation policies on the enterprise in the industrial chain (Liu et al., 2022b).However, this method will not be able to exclude the output value of energy enterprises due to other aspects, and it is impossible to identify environmental regulatory policies to form a heterogeneity effect in upstream and downstream enterprises.Therefore, this article will be evaluated by dual differential methods.On the one hand, the parallel trend can be used to reflect the environmental protection policies of the energy industry in upstream enterprises to judge the heterogeneity of the effects of environmental regulations on the industrial chain.On the other hand, the interference of other policies is excluded through placebo inspection.
Among the 61,000 observation samples in this article from 1998 to 2012, a total of 18,412 basic energy enterprises (upstream enterprises in the energy industry) were influenced by the 2006 environmental supervision policy, which provided us with a good "quasi-natural" opportunity for the experiment.Specifically, of the 61000 samples, we use 18412 basic energy enterprises as a policy processing group and the remaining downstream enterprises as control groups.At the same time, due to the influence of environmental protection inspection policies in the energy industry in 2006, we used a policy comparison period before 2006 and an experimental period after 2006.The corresponding virtual variable is set as follows: In this way, we will build a dual fixed-effects differential model and test the impact of the 2006 energy environment regulation policy on the output value of the energy industry: Among them, ln y it is the explanatory variable, that is, the output value of the i energy enterprise in phase t.X it indicates that the corresponding control variables in phases i are in the first t, including corporate fixed asset investment, corporate liabilities, corporate net profit, whether enterprises are subsidized by the government, and enterprise labor investment.δ i and γ t indicate the fixed effects and time-fixing effects of the individual of the enterprise.α and β represent the hometown in the model.Among them, β 1 is the core parameter we are concerned about, which represents the net impact of environmental policies on the output value of energy enterprises.If the theoretical hypothesis is established above, that is, when the government strengthens environmental regulation, the demand for upstream enterprises to increase upstream products will increase, and the output of upstream enterprises will also increase significantly, in which case, β 1 should be significantly positive.

Data, variables, and descriptive statistics
This study analyzes the impact of environmental regulation on energy enterprises from the perspective of the industrial chain and provides a detailed analysis of the difference in this effect between the eastern and western regions of China.In addition, considering that enterprise output value is also affected by other economic factors, other control variables will be introduced in this paper.See Table 1 for the specific variable setting methods.

Explained variables
The explained variable in this paper is mainly the natural logarithm of output value ln y it of energy enterprises, which reflects the overall production capacity of the enterprises.In terms of data processing, this paper refers to the processing suggestions of Zhu et al. (2019).1) First, the repeated samples of individual enterprises in the same section are eliminated.2) Energy industry chain upstream and downstream enterprise distribution.
Enterprise data with missing output values or 0 are eliminated.
3) The enterprises in the state of suspension, construction, or cancellation are eliminated.Finally, a total of 61,000 samples were obtained from 1998 to 2012.

Core explanatory variables
The core explanatory variable of this paper is the dummy variable of environmental protection policy, which is divided according to the energy industry chain, and the upstream enterprises are regarded as the enterprises in the treatment group.This industry is mainly based on basic energy raw material manufacturing, and its three-level national economic industry classification code is 261.Four-level subdivided industries are inorganic acid (2611), inorganic base (2612), inorganic salt manufacturing (2613), organic energy raw material manufacturing (2614), and other basic energy raw material manufacturing (2619).The downstream enterprises are taken as the control group.The three levels of national economic industry classification of these enterprises mainly include fertilizer manufacturing (262), pesticide manufacturing (263), paint, ink, pigment, and similar products (264), synthetic materials manufacturing (265), specialized energy products (266), explosives, pyrotechnics and fireworks products (267), and daily energy products (268).See Figure 1 for details.

Control variables
The control variables selected in this paper mainly reflect three types of enterprise capabilities.The first type of index is the enterprise production factor input capacity, which mainly includes net fixed asset investment (ln k it ) and enterprise labor force (ln l it ).The net investment value of fixed assets mainly reflects the expenses incurred by the purchase and construction The parallel trend test.
Frontiers in Environmental Science frontiersin.org of an enterprise in the current period, which are directly related to production.In this paper, according to typical practice, the perpetual inventory system method is used to calculate the net investment of fixed assets (Dey-Chowdhury, 2008).The enterprise labor force (ln l it ) mainly selects the average number of employees in an enterprise as a variable of labor input, and labor input will significantly affect the output of an enterprise (Zulfiqar and Batool, 2013).The second category of indicators is enterprise operating capacity indicators, mainly including corporate debt and government subsidies.Corporate debt (lndebt it ), on the one hand, reflects the financing capacity of an enterprise; on the other hand, it also reflects the degree of business risk of an enterprise (Bendoly et al., 2009).In this paper, the natural logarithm of corporate debt is adopted.In general, local governments tend to subsidize enterprises with a higher output value.Accordingly, enterprises with government subsidies tend to have soft financing constraints (Liu et al., 2020), which makes it easier to expand reproduction.The third category of indicators measures the profitability of enterprises, mainly including enterprise net profit (lnpi it ), reflecting the enterprise's ability to expand its reproductive potential (Shelenko et al., 2021).In this paper, the natural logarithm method is adopted after deducting taxes from gross profit.The specific meanings and calculation methods of the relevant variables involved in this paper are summarized in Table 1.
In this paper, the data samples are micro panel data of energy enterprises in China from 1998 to 2012.There are two main reasons for determining this interval: first, much data are missing, such as labor input indicators, in the database of Chinese industrial enterprises after 2012, so the data before 2012 are selected.Second, after 2013, a new round of environmental protection supervision measures began due to the increasing haze and other events.To avoid the estimation bias caused by the overlapping interference of policies, this paper did not select microenterprise panel data from 2013 to 2014.Finally, all the original data in this paper are from the China Industrial Enterprise Database, and descriptive statistics of the variables involved are summarized in Table 2.

Parallel trend test
To ensure that the estimated results of the DID are accurate, the experimental group and the control group need to pass a parallel trend inspection to show that there is no structural difference between the experimental group and the control group before the policy implementation.The development trend is significantly different; otherwise, the estimate will inevitably cause deviation.This article draws on the practice of Beck et al. (2010).Based on calculating energy enterprises' relative period of environmental protection "supervisory enterprise" policy, the abovementioned benchmark DID model is used for the relative period of processing effects, and the corresponding parameter drawing is shown in Figure 2. It is found that the estimated processing effect of the estimated process is significantly zero in the first seven phases of the implementation of the policy of strict environmental regulation policies, which shows that the experimental group and the control group before the implementation of environmental policies meet the same changes.Correspondingly, in the seventh phase of the implementation of environmental regulation policies, the estimated treatment effects have significantly different structural effects.On the one hand, it shows that the impact of environmental regulation policies on upstream enterprises has significant effects.
Policies significantly increase the output value of upstream energy companies.

Empirical results and the discussion
This paper first estimates the impact of environmental protection supervision in the energy industry on the whole energy industry chain to test the hypotheses removed from the theoretical model above.The regression results of DID (Differences in Differences) in the benchmark simultaneous equation model are shown in Table 3. Models (1)-(3) in Table 3 use high-dimensional regression, fixed effects panel regression, and OLS algorithms to estimate the estimation results of the DID model (Greene, 2003).The results show that regardless of which algorithm and estimation strategy are adopted, the treatment effect of energy environmental protection policy presents a positive relationship at the significance level of 1%.This shows that the output value of the energy industry increased by 4.20% after environmental regulation.This conclusion verifies the hypothesis of the mathematical model above; that is, when the government strengthens environmental regulations, the demand of downstream enterprises for upstream products will increase, so the output of upstream enterprises will also significantly increase.Among the control variables, fixed asset input, labor input, debt, and enterprise profit all show a positive relationship at the confidence level of 1%, indicating that the energy industry enterprise output value and factor input, enterprise operation status, and enterprise financing ability all show a significant positive relationship, which is consistent with previous studies (Bendoly et al., 2009;Kolupaieva et al., 2019;Yuan and Pan, 2022).Source: Self-Calculated.
Frontiers in Environmental Science frontiersin.org08 Zhang et al. 10.3389/fenvs.2024.1396288However, from the statistical results of government subsidy variables, energy enterprises show a significant positive relationship at the 10% confidence level in the high-dimensional regression equation, indicating that energy enterprises will significantly expand their reproduction and significantly increase their output value by approximately 1.17% after receiving local government subsidies.

Placebo test
To avoid the effect of other policies on the purchase restriction policy, a placebo test was used to simulate the effect of the policy under different conditions to exclude the influence of other random factors.In essence, the placebo test estimates whether the estimated results under different fictitious situations are significantly different from the original estimated results by constructing a virtual policy time or treatment group (Abadie et al., 2010).If there are significant differences, it indicates that the changes in the explained variables are only due to the implementation of the policy and are not affected by other policy changes or random factors.The article conducted a placebo inspection because since 2003 the northeast area has been promoting the revitalization of the northeast old industrial base strategy.The energy industry in northeast China will also be affected by the environment, so this article will eliminate the northeast energy industry and downstream enterprises, corresponding to regression analysis.
The test results in Table 4 show that the significance of the treatment effect of environmental regulation policies in the energy industry is significantly consistent with the real situation after the samples in northeast China are excluded.Specifically, excluding the samples from northeast China, the treatment effect of implementing environmental regulation policies is 0.0382 at the 1% confidence level.It can be seen that the output value treatment effect produced by the environmental regulation policy is not affected by the northeast revitalization policy.Therefore, it shows that the DID simultaneous model passes the placebo test; the influence of other policies or random factors is excluded, while the treatment effect level of environmental regulation policies is verified.

Heterogeneity analysis: the eastern, central and western regions of China
Considering the significant differences in resource endowments among China's eastern, central, and western regions, the eastern region is economically developed, with energy supply primarily dependent on energy transportation from the central and western regions and overseas energy imports.The central region, rich in coal resources, serves as a traditional base for energy and raw materials.In contrast, the western region is abundant in renewable energy  5. From the estimated information in Table 5, the core explanatory variables, environmental regulation policies, all show a significant positive relationship, which again verifies the hypothesis put forward by the theoretical model in this paper.However, from the treatment effect of the actual policy, there are obvious differences between the eastern, central, and western regions.Specifically, the environmental regulation policy has the most significant net policy impact in the western region, where the output value of energy industry enterprises increased by 7.49% at the 1% confidence level.This is followed by the eastern region, where the output value of energy industry enterprises increased by 3.4% at the 5% confidence level.Finally, in the central region, the output value of energy industry enterprises increased by 1.75% at the 10% confidence level.This result is mainly because the western region is dominated by the basic energy industries, that is, the upstream enterprises in the industrial chain, so the effect of environmental regulation policies is more pronounced.The eastern region is dominated by downstream enterprises, which are closer to the terminal market, so the effect of "relative" deregulation is stronger.However, the central region does not occupy a dominant position upstream of the energy industry chain; at the same time, it does not form a strong downstream or terminal market, so the effect of environmental regulation policy in the central region is the least.From the control variables in the eastern, central, and western regions, first, their significance and coefficient direction are consistent with the above, which shows the robustness of the model and shows that the selected variables have strong explanatory power.

Conclusion and policy implications
Haze, water pollution, dust, and other types of pollution seriously affect people's quality of life, and environmental regulation for environmental protection has become an important starting point for environmental control.However, how to balance environmental quality and economic growth has long been a challenging issue for governments.Regarding the effect of environmental regulation, academic research has been pursuing the "cost compliance" theory and the "innovation compensation" theory.In reality, however, neither of the theories adequately explains the unique phenomenon of "double growth" of the economy and environment in China.On this basis, this paper tries to jump out of the "cost to follow" and "innovation" theory framework and establish an environmental responsibility allocation model in the industrial chain.Using energy enterprise microdata in China from 1998 to 2012 as samples, we analyze the effects of environmental regulation on the industry chain to explain China's economic and environmental "growth" phenomenon.The research finds that in the industrial chain, upstream and downstream enterprises share environmental obligations and responsibilities due to trade associations.When environmental regulation is strengthened, the environmental responsibility will move forward through the industrial chain, and the regulation on upstream enterprises will be "relatively" strengthened, while the regulation on downstream enterprises will be "relatively" relaxed, thus expanding the output but increasing demand for upstream products.Different from previous studies, this paper argues that environmental regulation will promote output growth of the entire industrial chain due to its differential effect on the industrial chain.This is in contrast with the view of the "cost compliance" theory that environmental regulation will inevitably lead to an output decline.Based on this research, this paper puts forward the following policy implications and suggestions.
First, we should fully acknowledge the heterogeneous effect of environmental regulation on the industrial chain and accept the development goals of both the environment and the economy.There is still a gap in the research on the differential effect of environmental regulation in the industrial chain, so it is beneficial to understand the spillover effect of environmental regulation.Since 2018, a storm of environmental protection inspections has swept the country.Some local governments have used simple administrative measures to shut down enterprises, causing structural economic problems and social instability.This type of unsustainable administrative interference seriously destroys the regulation transmission effect throughout the industrial chain and greatly reduces the policy effect of environmental regulation.Therefore, based on the research conclusions of this paper, it is proposed that the administrative approach of "one size fits all" that ignores enterprise heterogeneity in the industrial chain should be eliminated immediately.In the context of the "three critical battles" determined by the 19th National Congress of the Communist Party of China, the government should guide the transformation of polluting enterprises instead of shutting them down and establish a strict environmental certification and accountability system to correct the chaos of environmental governance, to improve the efficiency and the methods of government supervision.
Secondly, enhancing the disclosure of environmental information and raising public awareness of environmental protection are essential for fostering a conducive atmosphere for social supervision.On one hand, the government should establish and improve the environmental information disclosure system, requiring companies to regularly publish information on their environmental performance, pollution discharge, and environmental protection measures.This would increase the transparency of industrial pollution and enable the public and media to access information about corporate environmental behavior through official channels.On the other hand, the government should strengthen mechanisms for public participation in environmental protection, such as through public hearings and the disclosure of environmental impact assessments.This would allow the public to engage in the decision-making process of environmental protection and effectively supervise enterprises or industries with negative environmental externalities, thereby continuously promoting the output of environmentally friendly products.

TABLE 1
The meaning and calculation method of related variables.

TABLE 2
Descriptive statistics of relevant variables.
Note: We keep three significant figures after the decimal point.This table is calculated by the author using Stata15.FIGURE 2

TABLE 3
Estimation results of the DID.
Note: Four valid values are reserved for parameter estimation after decimal points.The contents in () are statistics, and three significant digits are reserved after the decimal point.***, ** and * represent significance levels of 1%, 5% and 10%, respectively.The following table is the same.

TABLE 5
Estimated results of eastern, central and western regions of China.