Decoupling of Electricity Consumption Efﬁciency, Environmental Degradation and Economic Growth: An Empirical Analysis

: The present study investigates electricity consumption, carbon dioxide (CO 2 ) emission, and economic growth decoupling using data from 1971 to 2020 for the economy of China. The study uses decoupling analysis (DA) as the prime methodology for analysis. Furthermore, the ﬁndings put forward a signiﬁcant contribution to an economic picture of the economy of China and a sizeable addition to related research and ﬁndings under the assigned issues discussed in the study. The study’s main contribution is to decouple electricity consumption from the gross domestic product (GDP), which is rare in the existing literature in the context of China. Moreover, the study shows the decoupling of environment affects electricity consumption, and GDP growth. The DA model shows that electricity consumption is the main driving force enhancing economic growth. However, industrialization has increased greenhouse gases, global warming, and climate change due to production and consumption. China’s economy uses coal for energy resources, which indicates that China produces a large proportion of electricity with coal, which causes high CO 2 emissions. Finally, further analysis with the Granger causality test conﬁrms the main ﬁndings.


Introduction
The development of the social economy requires massive inputs of natural resources, especially energy efficiency, also known as the main driver of economic growth [1]. China is a "world factory" which consumes plenty of energy resources to meet the local demand of manufacturers and serves the international market with commodities "made in China". The effect on economic growth is generally apparent; however, the impacts on energy consumption and consequently the environmental footprint are yet to be fully understood [2]. As a newly industrialized country, electricity is an influential energy source and supports economic and social development in China [3]. The rapid growth of industrial and domestic electricity consumption indicates China's rapid economic development. In the process, China has become a significant contributor to the growth of global electric power demand [4]. The electricity consumption of China was 612, 97.09 kWh in 2016, over double what it was ten years ago.
A lot of research has emerged concerning energy resources, economic growth, and environmental efficiency [5][6][7][8][9][10][11][12][13]. All these researches have used regression analysis or other shared estimation techniques for the nexus of energy consumption and economic growth. All these techniques and methods cannot completely relate to the different features influenced by the decoupling of China's economic growth. Moreover, to the best of our knowledge, researches dedicated to electricity consumption, CO 2 emissions, and economic growth using the decoupling analysis method are scarce in the case of China. In that regard, in the case of China, reference [14] explains the main aspects of the distressing levels of CO 2 emissions from the electric power industry by the relation of CO 2 emissions and growth in the regional economy with the decoupling index and LMDI model for the Jing-jin-ji region of China, and declare that there is weak decoupling. In that regard [15] analysed the consumption of electricity and carbon dioxide emissions in relation to decoupling for more than 600 counties in China, and indicated higher decoupling for 2016. However, these studies have used decoupling analysis but considered only the heterogeneous factors of the sample and have not related it on macro grounds.
Moreover, understanding the direct and indirect effects of electricity consumption on the economy of China is a prerequisite for proper energy conservation policy formulation [3]. As China is the world's largest electricity end user, a coal-ruled electric power system has put accumulative force on climate variation and pollution in the air. Considering these factors, the present study aims to explore electricity consumption, CO 2 emissions, and economic growth decoupling. Against this background, our paper investigates three significant problems grounded on the decoupling analysis technique: (1) What is the influence of electricity consumption and economic growth decoupling? (2) What is the influence of electricity consumption and CO 2 emissions decoupling? (3) What is the influence of CO 2 emissions and economic growth decoupling? To report these three concerns, firstly, the present study uses the unique methodology of the decoupling model of Tapio [16] to determine the influence of economic growth and electricity consumption, decoupling of carbon (CO 2 ) emissions and economic growth, and carbon (CO 2 ) emissions and electricity consumption decoupling. Then the study applied the unit root test, proper lag length selection criteria, and Granger causality test to validate all the relations under investigation in the study.
Our study contributes significantly to the present literature linked to energy efficiency for domestic and industrial electricity consumption, environmental efficiency, environmental degradation, and economic growth. The main highlight of the study is to relate electricity consumption as a function driving economic expansion and development, which to the best of our knowledge, is less investigated in the context of China. Secondly, the present study relates the electricity consumption function to environmental degradation as an outcome of sustainable economic growth and development which is rare in the existing literature from the decoupling perspective for the economy of China. Moreover, our study significantly contributes on methodological grounds by using decoupling analysis. It is scarce in circular economy and economic development research in relation to the economy of China.
The main highlights of the present study's findings contribute novel empirical results on the decoupling effect between electricity consumption and economic growth, CO 2 emissions and economic growth, and CO 2 emissions and electricity consumption. The findings show weak and expansive negative decoupling for electricity consumption and economic development. It indicates that weak decoupling happens when there is faster economic growth, and electricity consumption grows rapidly with expansive negative decoupling. The findings show strong and weak decoupling for CO 2 emissions and GDP growth, which illustrates that weak decoupling happens when there is faster economic growth, and CO 2 emissions also grows rapidly with strong decoupling. Moreover, the study shows strong and weak decoupling for CO 2 emissions and electricity consumption. These results conclude that weak decoupling happens when there is fast growth in electricity consumption, and CO 2 emissions also grow rapidly with strong decoupling. In addition, to validate the main findings, the present study incorporates the test of Granger analysis for causality, which illustrates unidirectional causality for CO 2 emissions and electricity consumption. The study finds unidirectional causality between the growth of economic development and CO 2 emissions growth. Finally, the relationship between the growth of electricity consumption and the growth of the economy shows unidirectional causality.
The remainder of the paper is formulated as follows. Section 2 discusses a theoretical framework for decoupling. Section 3 reviews the recent literature. Section 4 discusses the materials and method. Section 5 illustrates the analysis of results and discussions. Section 6 discusses the conclusions of the study. Section 7 shows policy implications and directions for future research.

Theoretical Framework on Decoupling
Decoupling electricity consumption from economic development defines the values of elasticity under 1.0, where the percentage change in electricity consumption (%∆EL_c) is divided by the percentage change of economic growth (%∆GDP_g) in a given period.
Several unlike theories have been used to show the various features of decoupling [17]. For instance, decoupling by equation one of this study is likewise denoted as nonmaterialized, qualitative evolution, and structural variation [18]. The decoupling stated by equation two of this study is also referred to as dematerialized, economic effectiveness, and elementary practical growth [18,19]. Decoupling stated by equation three of this study may also be stated as non-carbonization, non-relating, and dissimilar element theories [19]. Occasionally de-linking is used as a broader replacement for decoupling, irrespective of the theory's particular meaning [17].
The discourse of decoupling economic development from electricity consumption growth narrates the broader discipline of delinking economic development from collective environmental issues. At one point in the subject it said that in the initial stages of economic growth, growth leads to growing ecological problems, that is, pollution and misuse of resources. As the progress lasts, the economy will become less damaging to the environment due to investment in technology, and economic and energy efficiency. With consuming economic productivity per capita as the x-axis and environmental damage as the y-axis, a reversed U-curve will appear. This curve is termed the environmental Kuznets curve (EKC) hypothesis [20].
Several practical researches investigated whether to confirm or discard the EKC hypothesis. The outcomes of the research differ intensely by state, period, and the set of environmental factors examined [21,22]. Some researchers have proposed that in various western industrial nations, concerning entire material streams and CO 2 emissions, the hypothesis did hold for the period from 1970 to 1985, but not after that [22]. The EKC defined the growth of sulphur discharges (measured in SO 2 ) as somewhat sound, as it was not as effective in relating the development of nitrogen dioxide emissions and the minimum effective link to CO 2 emissions growth in the UK, USA, western Germany, the Netherlands, and Finland [19]. According to prior studies, the reversed U-curve of CO 2 emissions has somewhat changed to an N-curve. As the reversed U-curve signifies delinking or dematerializing, the latter stage of the N-curve is defined by the terms relinking or re-materialization [17].
Grounded on an assessment of the problem, Vehmas et al. (2003) constructed a broad framework of the different decoupling features [17]. They incorporated the notion of de-linking, imitating the jargon used in environmental economics. The study uses the decoupling term as it is applied more frequently in economic development. Vehmas et al. also applied the notion of re-linking, which here is called negative decoupling. There has not been abundant proof of decoupling in electricity consumption, nor CO 2 emissions driven by electricity consumption hence would the notion of re-coupling possibly give a deceptive meaning to the N curve?
According to the background, eight rational options can be formed ( Figure 1). The development rate of GDP and a factor of electricity consumption (see Equation (1)) can be coupled, decoupled, or negatively decoupled. Equations (1)-(3) may also be examined on a similar basis. To avoid over-estimating minor variations as significant, ±20% disparity of the elasticity values of about 1.0 are here still viewed as coupling. Therefore, coupling is defined by elasticity values of 0.8 . . . . . . 1.2. On the contrary, the development of the factors per se can be positive or negative, also known as expansive coupling and recessive coupling. is defined by elasticity values of 0.8……1.2. On the contrary, the development of the factors per se can be positive or negative, also known as expansive coupling and recessive Decoupling further separates into three subgroups. In weak decoupling, economic development and electricity consumption rise together (and 0 < elasticity < 0.8). Strong decoupling happens when GDP increases and electricity consumption falls (and elasticity < 0). Recessive decoupling shows when GDP and electricity consumption equally decline (and elasticity > 1.2). Likewise, negative decoupling contains three subgroups: in expansive negative decoupling, GDP and electricity consumption rise equally (elasticity > 1.2). In strong negative decoupling, GDP falls, and electricity consumption increases (elasticity < 0). Weak negative decoupling happens when both factors decrease (0 < elasticity < 0.8).
Negative GDP growth has been very infrequent in China for several years, and some of the rational likelihoods may appear impractical from the emerging markets perspective, for instance, strong negative decoupling where the growth of GDP drops and electricity
If 0.8 < Dt < 2.0, % ΔC < 0, and % ΔGDP < 0 than recessive coupling. Decoupling further separates into three subgroups. In weak decoupling, economic development and electricity consumption rise together (and 0 < elasticity < 0.8). Strong decoupling happens when GDP increases and electricity consumption falls (and elasticity < 0). Recessive decoupling shows when GDP and electricity consumption equally decline (and elasticity > 1.2). Likewise, negative decoupling contains three subgroups: in expansive negative decoupling, GDP and electricity consumption rise equally (elasticity > 1.2). In strong negative decoupling, GDP falls, and electricity consumption increases (elasticity < 0). Weak negative decoupling happens when both factors decrease (0 < elasticity < 0.8). Negative GDP growth has been very infrequent in China for several years, and some of the rational likelihoods may appear impractical from the emerging markets perspective, for instance, strong negative decoupling where the growth of GDP drops and electricity consumption rises. However, there seem to be various states in the emerging economies where this perhaps occurred in the past.

Review of Related Literature
The existing literature has put forward sizeable research on the relationship between CO 2 emissions and economic development by applying research methods such as the Granger causality test, the environmental Kuznets curve hypothesis (EKC), and the decoupling model [23,24]. The study by Boamah et al. (2017) [25] shows the one-way causal relationship between the consumption of energy and the growth of the economy of China over the long term and suggests that China should alter its trade growth mode. The study by Wang et al. [26] conducted comparative research on the economy of China and the United States (US). They declare that collectively the United States and China produce about 1/3 of the output of the global economy and discharge over 2/5 of the CO 2 . They indicate weak and expansive decoupling for China. They also reveal that from 2000 to 2014 the economy of China witnessed strong and weak decoupling for most of those years.
A study by Wu et al. [27] discussed decoupling world economic growth trends and CO 2 emissions based on decoupling theory from 1965 to 2015 for developed and developing economies. They show that strong decoupling exists in developed countries. The decoupling state in the United Kingdom (UK) and Germany is more stable than that of the US and France. Developing countries exhibit weak decoupling due to high fluctuation and lack of regularity. Due to stabilization and optimization in China, the decoupling process is higher than in Brazil and India. Bildirici (2019) [14] conducted research by analyzing the Granger causality between CO 2 emissions and economic development for the US and China, and findings show a one-way causal relationship between CO 2 emissions and economic development in China. On the contrary, the US shows opposing results. Piłatowska et al. (2020) [15] examined the relationship between renewable energy and nuclear energy consumption, carbon dioxide emissions, and economic growth with the Granger causality and nonlinearity impulse response function for the Spanish business cycle from 1970 to 2018. Further analysis shows that economic growth and carbon dioxide emissions positively correlate during expansion but not during a recession. Therefore, they find that growing nuclear energy consumption leads to a reduction in carbon dioxide emissions expansion, and this impact increases due to renewable energy consumption and carbon dioxide emissions, which is negative but insignificant. Moreover, there is a positive feedback relationship between nuclear energy consumption and economic growth, but a one-way positive cause and effect relation between renewable energy consumption and the turnaround in economic growth. These findings show that nuclear and renewable energy consumption help reduce CO 2 emissions; however, rising economic activity leads to even greater CO 2 emissions increases, which offset the positive effect of green energy.
The paper by Wang and Zhang (2020) [28] investigates the R&D investments and CO 2 emissions using the fully modified ordinary least squares estimation method from 1996 to 2014 for BRICS (Brazil, Russia, India, China, and South Africa) states. The results show that with every 1% increase in R&D investment, carbon emissions reduce by 0.8122% for the BRICS states and indicate that a growing number of R&D investments positively influence the decoupling of economic growth from environmental pressure. The results vary for individual countries, however; in China, the impact is the most substantial, while it is weak in Russia and India. Their findings further reveal that economic activity, industrialization, and urbanization negatively affect decoupling, and renewable energy consumption upholds decoupling. The study by Gao et al. (2021) [29] applied the Tapio decoupling model to analyze the decoupled state of provincial carbon emissions from its economic development and combine the logarithmic mean divisia index model (LMDI) and Cobb-Douglas production function to study the emissions driving force, especially from the perspective of the economy. Their results show that CO 2 emissions and economic decoupling specifically depend on the decoupling of energy consumption during the study period. Huge change exists in the level of provincial CO 2 emissions and its driving forces. The emissions-economic decoupling trend tends to converge to a club, more or less implying coherent low-carbon cross-province progress. They show that economic development usually represents the energy demand and ultimately leads to carbon emissions.
Moreover, Wang and Zhang (2021) [30] examined the decoupling of CO 2 emissions from economic growth by the influence of protectionism through trade openness. They show that the heterogeneous impact of trade openness on CO 2 emissions specifies that trade openness negatively influences economic growth decoupling from CO 2 in poor economies and positively impacts developed economies. Linked to that, Shan et al. (2021) [31] presented the most detailed and up-to-date accounts of CO 2 emissions in 294 cities in China and the degree to which their economic growth decoupled from emissions. The results show that from 2005 to 2015, only 11% of cities participated in strong decoupling, 65.6% showed weak decoupling, and 23.4% said no decoupling. They attribute this economic-CO 2 emissions decoupling in cities to several socio-economic factors (i.e., structure and size of the economy, emission intensity, and population size) and find a decline in emissions intensity by improving production and carbon efficiency (e.g., by decarbonizing the energy mix, and building renewable energy systems) is the most important one.
Additionally, Rao et al. (2022) [32] explored correlations of the sectoral CO 2 emissions impact by defining the comprehensive sectoral CO 2 emissions impact on the consumption of fossil energy as initial input, middle product, final product, and circular correlation of the input-output process, and broke it down into direct effects, full effect, spread effect, and sensitive effect. Then they created a related method of an influence decoupling index to discover their decoupling status and source. Finally, the specific inspection plate is the breaking point of the CO 2 emissions reduction in the Yangtze River Case Study Economic Belt (YREB) sector for China. Their results show that: (1) CO 2 -related emissions effects are higher in the Yangtze River Economic Belt (YREB) energy-intensive industries.
(2) Decoupling of the YREB sector economic growth from carbon dioxide significantly reduces emissions, i.e., it is affected by the decoupling correlation, which reduces the impact of CO 2 emissions energy-intensive industries. (3) Carbon dioxide emissions of key sectors of the Yangtze River Economic Belt decline with the energy-intensive industries' focus on the decoupling part of the correlation, which reduces the impact of sectoral CO 2 emissions.
The study by Zhao et al. (2022) [33] analyzed relationships between economic development and carbon emissions with panel data from 2009 to 2019 for China by applying the Tapio decoupled model and logarithmic mean divisia index model (LMDI). The result shows carbon emissions and economic development is increasing year by year. The economic development trend growth rate and carbon emissions growth rate present the feature of stability and stage. They show that Chinese carbon emissions and economic development are basically in a weak decoupled state and are positively related. The significant differences pointed out by the decoupling index between the four areas are mainly that the central region is better than the eastern region, the east zone is better than the northeast region, the northeast region is better than the western region, and the growth of the province in the section is unstable. From the driver's perspective, population size elasticity and economic intensity can control carbon emissions decoupling, while the elasticity of energy intensity and carbon intensity have a positive influence.
The study by Sun et al. (2022) [34] used carbon emissions from agricultural energy consumption (CEAEC) with data from the Yangtze River Economic Belt (YREB) from 2000 to 2017 with the decoupling model and LMDI decomposition model. The results showed that carbon emissions from CEAEC from the YREB showed a phased increase with a peak of 1732.25104 tons in 2012, except for some reduction in Shanghai, Chongqing, and Guizhou, which shows that all provincial CEAEC have risen to varying degrees. In contrast, the strength of CEAEC in the YREB has been declining since 2005. The economic output effect is a significant contributor to growth in CEAEC, followed by the population effect. In contrast, the energy intensity effect and energy structure effects are the main reasons for the reduction in CEAEC. Spatial differences in CEAEC of the YREB saw a significant increase from 2000 to 2017. A study by Li et al. (2022) [35] explains the main aspects of the distressing levels of CO 2 emissions from the electric power industry by the relation between CO 2 emissions and growth in the regional economy with the Tapio decoupling index and LMDI model for the Jing-jin-ji section of China from the period 2000-2017. They find that in the region of Jing-jin-ji, the decoupling state moved in a weak decoupling in 2004-2017 from the ranges 0.85 to 0.38, respectively, due to China's 11th five-year plan.
Finally, a study by Liu et al. (2022) [36] analyses the consumption of electricity and carbon dioxide emissions with the Tapio index of decoupling of more than 600 counties in China from 2009 to 2016. They indicated higher decoupling for the year 2016 for most counties for carbon dioxide emissions and consumption of electricity than in 2009. Moreover, they found that the more poverty-stricken counties have more pronounced electricity consumption decoupling from CO 2 emissions relative to non-poverty-stricken counties. They also declare that as the secondary industry's carbon intensity has seen a downward trend in current times, the secondary industry development can benefit the decoupling of electricity consumption from CO 2 emissions, and renewable energy's advancement can perform a similar role.

Materials and Methods
The present study investigates electricity consumption, CO 2 emissions, and GDP growth decoupling. Furthermore, this section identifies the variables of the study. Additionally, the study uses the decoupling analysis (DA) methodology to investigate the influence and association between constructs.

Data
The study uses the World Development Indicators from the World Bank database [36]. The data covers annual observations from 1971 to 2020 for the economy of China for selected variables of the study. Table 1 presents the details of the variables of the study. To examine the data for selected variables of the study, which consist of electricity consumption, GDP growth, CO 2 emissions, energy use, total population, and urban population. Furthermore, the study incorporated a linear interpolation scheme to handle missing values in the sample.

The Decoupling Analysis (DA)
The study uses the decoupling method of Tapio as the scheme of methodology. Tapio methodology uses the percentage change in growth elasticity. The decoupling analysis (DA) authenticates the correlation among the interrelated variables. In the present study, the decoupling is illustrated as %∆ in consumption of electricity (%∆ EL_c) to the %∆ in the growth of GDP after the (0) base year towards the target year (t). Hence, our study proposes model (1) as: GDP_g elasticity of EL_c = % ∆ EL_c/%∆GDP_g (1) In model (1), GDP shows the GDP growth of China measured in per capita, EL_c represents the electricity consumption measured in units of kilowatt hours per capita (KWH), and (% ∆) depicts the percentage change of interrelated variables from (0) to the base year (t).
Electricity consumption involves the emission of greenhouse gases from devices and machinery run on electricity. So, we computed the decoupling effect of electricity consumption on CO 2 emissions. Commencing electricity consumption is shown in Equation (2) as: EL_c elasticity of CO 2 _em = %∆ CO 2 _em/%∆ EL_c (2) The Equations (1) and (2) collectively provide the product of them in Equation (3) as: GDP_g elasticity of (EL_c) of CO 2 _em = %∆ CO 2 _em/%∆GDP_g (3) Here (%∆ CO 2 _em) signifies the percentage change in CO 2 emissions measured in metric tons per capita, and (%∆GDP_g) represents the percentage change in GDP growth measured in units per capita. Tapio [6] illustrates the decoupling states in eight subsections. Figure 1 represents all the rational options of decoupling amid EL_c and GDP_g.  Additionally, Table 3 depicts the values of the correlation matrix. In the table, it is evident that EL_c and GDP_g show a significant positive correlation. A significant positive correlation shows CO 2 _em and EL_c. Finally, the correlation matrix shows a significant positive correlation for the CO 2 _em and GDP_g nexus.  Figure 2 shows the electric power consumption trend for the economy of China from the period 1971-2020. In Figure 2, the X-axis illustrates the annual time window, and the Y-axis presents electric power consumption in kWh per capita. It shows the upward trend in the graph, which indicates electricity demand is increasing over time. This trend shows that the increasing domestic electricity demand in households and industries in China is drastically increasing due to economic development. Figure 3 depicts annual measures of GDP per capita for the economy of China from the year 1971 to 2020. In Figure 3, the X-axis exhibits the yearly time frame, and the Y-axis shows GDP per capita in US dollars and depicts an upward trend over time. Figure 4 displays the CO 2 emissions trend for the economy of China from the period 1971-2020. In Figure 4, the X-axis presents CO 2 emissions in metric tons per capita, and the Y-axis illustrates the annual time-space. The increasing trend in CO 2 emissions shows a sharp increase over time due to economic expansion, energy production, industrial development, and the use of devices and machinery.  Here we have explored the linkage between the consumption of electricity and economic growth with a decoupling states comparison. Table 4 and Figure 5 present six types of decoupling states: strong decoupling, weak decoupling, expansive coupling, strong negative decoupling, expansive negative decoupling, and recessive coupling. The economy of China has seen a 2318.828 annual upsurge in the data window, and electricity consump-tion has also increased In line with the passage of this time frame. The economy of China from the period 1971 to 2020 experienced weak and expansive negative decoupling in large numbers. These results show that weak decoupling happens when there is faster economic growth, and the expansive negative decoupling shows that electricity consumption has also grown faster.

The Decoupling Analysis (DA) of Consumption of Electricity and the Economy of China
Here we have explored the linkage between the consumption of electricity and economic growth with a decoupling states comparison. Table 4 and Figure 5 present six types of decoupling states: strong decoupling, weak decoupling, expansive coupling, strong negative decoupling, expansive negative decoupling, and recessive coupling. The economy of China has seen a 2318.828 annual upsurge in the data window, and electricity consumption has also increased In line with the passage of this time frame. The economy of China from the period 1971 to 2020 experienced weak and expansive negative decoupling in large numbers. These results show that weak decoupling happens when there is

The Decoupling Analysis (DA) of Consumption of Electricity and the Economy of China
Here we have explored the linkage between the consumption of electricity and economic growth with a decoupling states comparison. Table 4 and Figure 5 present six types of decoupling states: strong decoupling, weak decoupling, expansive coupling, strong negative decoupling, expansive negative decoupling, and recessive coupling. The economy of China has seen a 2318.828 annual upsurge in the data window, and electricity consumption has also increased In line with the passage of this time frame. The economy of China from the period 1971 to 2020 experienced weak and expansive negative decoupling in large numbers. These results show that weak decoupling happens when there is     Here we have explored the linkage between CO2 emissions and consumption of electricity with decoupling states comparison. Table 5 and Figure 6 display the decoupling states in five types: strong decoupling, weak decoupling, expansive coupling, expansive  1971-1972 1973-1974 1975-1976 1977-1978 1979-1980 1981-1982 1983-1984 1985-1986 1987-1988 1989-1990 1991-1992 1993-1994 1995-1996 1997-1998 1999-2000 2001-2002 2003 Overall, from 1971 to 2020, the decoupling effect for CO 2 emissions and economic development has shown a weak decoupling effect and positive correlation. In this period, the growth rate for electricity consumption (% ∆EL_c) is 0.077699904, and the average growth of economic development (% ∆ GDP_g) is 0.099628643. Here it is evident that the growth of an economy is higher than the average growth of electricity consumption and shows the effect of weak decoupling. The decoupling index from the period 1971-2020 shows variations and expansive decoupling in 2014-2016.

The Decoupling Analysis (DA) of CO 2 emissions and Consumption of Electricity
Here we have explored the linkage between CO 2 emissions and consumption of electricity with decoupling states comparison. Table 5 and Figure 6 display the decoupling states in five types: strong decoupling, weak decoupling, expansive coupling, expansive negative decoupling, and recessive coupling. The economy of China has seen an average of 2318.828 annual upsurges, and electricity consumption has also increased in line with the passage of this time frame. The economy of China during the period from 1971 to 2020 experienced weak and strong decoupling in large numbers for the decoupling relation between CO 2 emissions and consumption of electricity. These results show that weak decoupling happens when there is a sharp increase in electricity consumption over time. The expansive negative decoupling shows that CO 2 emissions have also grown at a quicker pace over time.    1971-1972 1973-1974 1975-1976 1977-1978 1979-1980 1981-1982 1983-1984 1985-1986 1987-1988 1989-1990 1991-1992 1993-1994 1995-1996 1997-1998 1999  Collectively, from 1971 to 2020, CO 2 emissions and electricity consumption have shown a weak decoupling effect and positive correlation. In this period, the growth rate for electricity consumption (% ∆EL_c) is 0.077699904, and the average growth of CO 2 emissions (% ∆CO 2 _em) is 0.042041386. Here it is evident that the electricity consumption growth is higher than the average growth of CO 2 emissions and shows the effect of weak decoupling. The decoupling index from 1971 to 2020 shows variations and a downward trend from 0.47 to −0.05. From a static view, the power generation sector contributes massively to CO 2 emissions. China is much more reliant on fossil fuels that produce heat and electricity and emit a large amount of CO 2 .

The Decoupling Analysis (DA) of CO 2 Emissions and the Economy of China
Here we have shown the relationship between CO 2 emissions and economic growth with a decoupling states comparison. Table 6 and Figure 7 show the decoupling states in five types: strong decoupling, weak decoupling, recessive coupling, expansive negative decoupling, and strong negative decoupling. The economy of China has seen a 2318.828 annual average increase, and the CO 2 emissions have also increased in line with the passage of this time frame. The economy of China during the period from 1971 to 2020 experienced weak decoupling and strong decoupling in large numbers amid CO 2 emissions and the growth of the economy. These results show that weak decoupling happens when there is faster economic growth. Strong decoupling shows that CO 2 emissions also rose faster from 1971 to 2020.

Additional Analysis: Granger Causality Test
To know the direction of causality among the main variables of the study, we incorporated an analysis of Granger Causality [38]. The given model for Granger causality is: In the model (4) X and Y are the stationary variables to represent the time and the state of the economy. The given test assumes that explicit effects are stationary and have a common lag order. Whereas ẟi (n) states the autoregressive parameter, the expression βit (n) shows the coefficient's slope. For the state in which elder ideal X variables observe continuing entity i, the estimate is upgraded for the Y variables intended at that element i, in which case it is safe to forecast that X lands at the Y. Table 7 shows the experiential results for the Granger causality analysis. The test of the Granger analysis illustrates unidirectional causality for CO2 emissions and electricity consumption. The unidirectional causality appears between the growth of economic development and the growth in CO2 emissions. Finally, the relationship between the growth of electricity consumption and the growth of the economy shows unidirectional causality.
To find the direction of the causality, it is essential first to explore the stationarity of the series of data with the unit root test, with the assumption that at the first difference, the variable series have to be stationary since the causality test requires stationary series as a prerequisite; moreover, the projected estimates are considered to be spurious if the data series is not stationary [38]. Here we have applied augmented Dickey-Fuller (ADF) test and Phillips-Perron (PP) test with a series of intercepts and trends, as shown in Table   - 1971-1972 1973-1974 1975-1976 1977-1978 1979-1980 1981-1982 1983-1984 1985-1986 1987-1988 1989-1990 1991-1992 1993-1994 1995-1996 1997-1998 1999-2000 2001-2002 2003 In addition, from 1971 to 2020, the decoupling effect for CO 2 emissions and economic development has shown a weak decoupling effect and positive correlation. In this period, the growth rate for CO 2 emissions (% ∆CO 2 _em) was 0.042041386, and the average growth of economic development (% ∆ GDP_g) was 0.099628643. Here it is evident that the economic growth was higher than the average growth of CO 2 emissions and shows the effect of weak decoupling. The decoupling index from 1971 to 2020 shows variations and a downward trend from 0.33 to −0.12, which is due to careful measures taken into account by the government of China for CO 2 emissions to alter the industrial arrangement by increasing the dynamic policy for the low-CO 2 and green economy with the collaboration of international settings to change the climate.

Additional Analysis: Granger Causality Test
To know the direction of causality among the main variables of the study, we incorporated an analysis of Granger Causality [38]. The given model for Granger causality is: In the model (4) X and Y are the stationary variables to represent the time and the state of the economy. The given test assumes that explicit effects are stationary and have a common lag order. Whereas δ i (n) states the autoregressive parameter, the expression β it (n) shows the coefficient's slope. For the state in which elder ideal X variables observe continuing entity i, the estimate is upgraded for the Y variables intended at that element i, in which case it is safe to forecast that X lands at the Y. Table 7 shows the experiential results for the Granger causality analysis. The test of the Granger analysis illustrates unidirectional causality for CO 2 emissions and electricity consumption. The unidirectional causality appears between the growth of economic development and the growth in CO 2 emissions. Finally, the relationship between the growth of electricity consumption and the growth of the economy shows unidirectional causality. To find the direction of the causality, it is essential first to explore the stationarity of the series of data with the unit root test, with the assumption that at the first difference, the variable series have to be stationary since the causality test requires stationary series as a prerequisite; moreover, the projected estimates are considered to be spurious if the data series is not stationary [38]. Here we have applied augmented Dickey-Fuller (ADF) test and Phillips-Perron (PP) test with a series of intercepts and trends, as shown in Table 8. The ADF and PP tests are both based on the criterion of Akaike information (AIC), as shown in Table 9, for the selection of the optimal length of lag. Moreover, both ADF and PP tests use the chi-square Fisher distribution, and the likelihood for the Fisher test is computed asymptotically via Chi-square distribution.

Discussion
The following section discusses the significant outcomes of the research. First, the average growth in electricity consumption driven by GDP growth was 0.860635 during 1971-2020. In China, households and industrial sectors are the major contributors to the increase in electricity consumption. These findings of the study relate to the researches Wang et al. (2010) [39], and Zhang et al. (2019) [40], who used the IDA model to evaluate electricity consumption in industry and overall electricity usage for the whole of China. Energy efficiency in terms of electricity utilization and economic growth or GDP has a dynamic relationship. Therefore, the findings also show an upward trend in electricity consumption and GDP along with time, which is also evident in Figures 2 and 3.
Second, the average growth in CO 2 emissions driven by electricity consumption was 0.428166 during 1971-2020. At the industry level, the power sector is the main source of CO 2 emissions in China since it is based on thermal power utilizing coal resources. Therefore, the role of energy in terms of efficiency which promotes the decoupling with CO 2 has increased. The findings also present an upward trend in electricity consumption and CO 2 with time, which is also evident in  [46] investigated the variations in CO 2 emissions using the LMDI technique to decompose the dynamic elements.
Third, the average growth in CO 2 emissions driven by economic growth was 0.163948 from 1971 to 2020. From the viewpoint of the features of economic growth and CO 2 emissions, CO 2 emissions and economic development are growing equally year by year, the GDP growth rate is comparatively fast, and the CO 2 growth trend is relatively flat, which relates to the policy objective of low CO 2 along with economic growth from 1971 to 2020. CO 2 emissions and economic development have shown a weak decoupling effect and positive correlation. In this period, the growth rate for CO 2 emissions (% ∆CO 2 _em) was 0.042041386, and the average growth of economic development (% ∆ GDP_g) was 0.099628643. Here it is evident that the economic growth was higher than the average growth of CO 2 emissions, and showed weak decoupling, as shown in Figure 7. The effect is due to careful measures taken into account by the government of China for CO 2 emissions to alter the industrial arrangement by increasing the dynamic policy for the low-CO 2 and green economy, with the collaboration of international settings to change the climate. These findings relate to the study of Zhao et al. (2022) [33].

Conclusions
This research aims to determine whether the economy of China has achieved effectively stable electricity consumption, and a CO 2 emissions reduction driven by sustainable economic growth in recent years. Investigating this research problem revealed the significant influence of decoupling among these relations. The present study contributes novel empirical results on the decoupling effect between electricity consumption and economic growth, CO 2 emissions and economic growth, and CO 2 emissions and electricity consumption. The main findings of the study are summarized as follows: • The findings of the study show weak and expansive negative decoupling for electricity consumption and economic growth. It indicates that weak decoupling happens when there is faster economic growth, and consumption of electricity also grows at a faster pace with the expansive negative decoupling.

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The findings show weak and strong decoupling for CO 2 emissions and economic growth. These findings illustrate that weak decoupling happens when there is faster economic growth, and CO 2 emissions also grows at a faster pace with the strong decoupling. • Moreover, the findings of the study show weak and strong decoupling for CO 2 emissions and electricity consumption decoupling. These results conclude that weak decoupling happens when there is fast growth in consumption of electricity, and CO 2 emissions also grow at a faster pace with strong decoupling.
• Additionally, empirical findings show unidirectional causality for CO 2 emissions and electricity consumption. The unidirectional causality appears between the growth of economic development and the growth of CO 2 emissions. Finally, the relationship between the growth of electricity consumption and the growth of the economy shows unidirectional causality.
Referring to the results of the present research, the subsequent inference and conclusion can be drawn. The decoupling analysis (DA) model shows that electricity is the main driving force enhancing the economic growth of China. However, industrialization has increased greenhouse gases, global warming, and climate change as a result of heavy production and consumption. China's economy is mostly based on coal for energy resources, which indicates that China produces a major proportion of its electricity with coal which produces high CO 2 emission. Therefore, industrialization in China exerted significant influence on the decoupling stability status as well as on prosperity, which leads to the increased steady status of decoupling, combining strong decoupling and weak decoupling. Precisely, the rise of the secondary industry sector leads to decoupling electricity consumption from CO 2 emissions, which is mainly due to substantial progress in the intensity of carbon from China's secondary industry in the current timeframe.

Policy Implications, Limitations and Recommendations for Future Studies
The present study offers some policy implications from the findings. Firstly, it may be a concrete policy to attain viable economic development by further reducing the intensity of CO 2 emissions of subordinate industry rather than by unseeingly endorsing the renovation of the business arrangement to a tertiary industry-ruled one. China is a state with a leading industrialized, value-added economy and broad business structure in the domain. Secondly, in November 2021, the Ministry of Industry and Information Technology revealed the 14th Five-Year Plan for green innovation and the development of industry. This strategy identifies the role of industry in China's economy and appeals for additional discounts in the CO 2 emissions concentration for industrial divisions over the subsequent five years. The strategy is appreciable and maintained by policymakers to enhance green innovation and the traditional industrial sector with low energy inputs and a higher level of value addition. Third, policymakers should endorse that renewable energy is reasonable for companies and domestic users. Policymakers can subsidize continuous technological innovation in renewable energy in the short and long term. Moreover, recently the government of China has initiated a project named Photovoltaic Poverty Alleviation (PVPA) which supports the energy requirements of people in underdeveloped areas', and this project also helps them to earn additional income from the generation of energy. Therefore, to keep this step more useful, policymakers should help maintain the trend of green innovation and maintain the operation of these plants by regularly employing experts.
Among issues for future research is the inclusion of some other macroeconomic variables and their role in the transition to renewable energy production [47], and cross-country comparisons. Though the present study has presented enough evidence in concept, future research should still build a theoretical framework to provide the decoupling conceptualization of economic growth from CO 2 emissions and electricity consumption in the context of emerging economies. Due to the unavailability of data on households' electricity consumption, future research should collect data for this sector from the survey. Moreover, the dynamic elements of CO 2 emissions are various and composite, and the present study covers only a few features. Therefore, future research can further measure additional factors, for instance, the industry structure and financial and economic arrangements.
Practically, the findings assist academic professionals, policymakers, and government agencies who formulate strategies and policies for institutions, macro and micro forefronts, the economy, and industry. The findings assist analysts and industry experts in supporting and improving the industry structure and policies to maintain industrial innovation in the energy sector. The evidence supports the government implementation of green innovation to enhance energy efficiency and lower environmental degradation. This research will help policymakers to formulate strategies to strengthen the legal support for the energy market, confirm the uniform process of the energy market, and stimulate the strong decoupling of China's economic growth, CO 2 emissions, and energy efficiency in terms of capacity utilization and production.