Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 268286, 9 pages
http://dx.doi.org/10.1155/2015/268286

Research Article

Decomposition and Decoupling Analysis of Energy-Related Carbon Emissions from China Manufacturing

Qingchun Liu, Shufang Liu, and Lingqun Kong

School of Economics, Shandong University of Finance and Economics, Jinan 250014, China

Received 25 July 2015; Accepted 3 September 2015

Academic Editor: Xinguang Zhang

Copyright © 2015 Qingchun Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

The energy-related carbon emissions of China’s manufacturing increased rapidly, from 36988.97 × 10⁴ tC in 1996 to 74923.45 × 10⁴ tC in 2012. To explore the factors to the change of the energy-related carbon emissions from manufacturing sector and the decoupling relationship between energy-related carbon emissions and economic growth, the empirical research was carried out based on the LMDI method and Tapio decoupling model. We found that the production scale contributed the most to the increase of the total carbon emissions, while the energy intensity was the most inhibiting factor. And the effects of the intrastructure and fuel mix on the change of carbon emissions were relatively weak. At a disaggregative level within manufacturing sector, EI subsector had a greater impact on the change of the total carbon emissions, with much more potentiality of energy conservation and emission reduction. Weak decoupling of manufacturing sector carbon emissions from GDP could be observed in the manufacturing sector and EI subsector, while strong decoupling state appeared in NEI subsector. Several advices were put forward, such as adjusting the fuel structure and optimizing the intrastructure and continuing to improve the energy intensity to realize the manufacturing sustainable development in low carbon pattern.

1. Introduction

Carbon emissions amount from China has already surpassed the United States since 2007 and has been the number one in the world [1]. Increasing trend of carbon emissions from China has received the great attention with the global warming. Both energy saving and emission reduction are becoming more and more important for Chinese government, who was committed to reducing carbon dioxide emissions per unit of GDP by 40–45% in 2020 to be less than 2005 levels on the Copenhagen Climate Change Conference in 2009. Manufacturing sector’s, as the core of China economy, product value surpassed the United States for the first time in 2011 and became the number one in the world. But the development of China manufacturing sector has been depending on the high energy consumption for a long time, and it was responsible for approximately 82.54% of China’s final energy demand in 1995–2006 [2]. Therefore, how to realize the manufacturing sustainable development in low carbon pattern is the biggest challenge for China in future. However, China’s manufacturing sector has great energy saving potentiality and space due to excessive dependence on resources and energy consumption [3]. Thus, it is necessary to study the changes of energy-related carbon emissions over time and to explore the main driving factors to increase carbon emissions from China manufacturing sector, as well as the relationship between carbon emissions and economic growth in order to help meet the government target.

2. Literature Review

2.1. Decomposition Carbon Emissions

Decomposition analysis can divide the changes in carbon emissions over time into a number of different factors, which help us better understand the reasons for the changes observed. The broad technique of decomposition analysis undertaken here is often known as IDA, due to the advantage of its simplicity, the availability of statistical data, and the ease of historical comparison. There are a number of different methods available within IDA, and the Log Mean Divisia Index method I (LMDI I) is perfect in decomposition, having no residual term, which is used here in decomposition carbon emissions due to the adaptability and ease of use [4, 5]. Using LMDI I method, many studies were carried out on carbon emissions from China in the last decade. Dong and Zhang [6] applied LMDI to decompose the energy-related carbon emissions from China industry into the production scale, carbon emissions intensity, energy structure, and energy intensity, and the findings showed that industrial production scale plays direct role in increasing carbon emissions. Wei and Xia [7] studied per-capita carbon emissions from the world and found that reducing the energy intensity and developing renewable clear energy were the only two major ways to realize low carbon economy under the background of increasing income and high energy dependence on coal. Song [8] also studied energy-related carbon emissions of Shandong Province in China and decomposed the carbon emissions into population, average wealth, intrastructure, and energy intensity, and pointed out that only the energy intensity had the negative effect on carbon emissions. Hammond and Norman [9] used the LMDI method to make decomposition analysis of energy-related carbon emissions from UK manufacturing sector and separated the contributions of changes in output, intrastructure, energy intensity, fuel mix, and electricity emission factor to the reduction in carbon emissions.

2.2. Decoupling Analysis between Carbon Emissions and Economic Growth

Many studies show the carbon emissions are strongly connected to the economic growth [10–13], and the target of low carbon economy is to sustain the decoupling state between the carbon emissions and economic growth. The concept of decoupling is first proposed by Organization for Economic Cooperation and Development (OECD), who divided it into absolute decoupling and relative decoupling [14]. Tapio [15] further expanded the decoupling theory, distinguished eight logical possibilities of decoupling, and studied the decoupling situations relationships between GDP, traffic volumes, and CO₂ emissions from transport in the EU15 countries in 1970–2001; Zhuang [16] applied Tapio model and studied the decoupling relationship between CO₂ emission and economic growth in Taiwan. Wang et al. [1] explored the decoupling relationship between energy-related carbon emissions and economic growth in Guangdong and found that its decoupling state turns from weak decoupling in 1996 to strong decoupling state in 2011. Li et al. [17] employed Tapio decoupling index to analyze the relationship between rural and urban construction land. Compared with OECD decoupling index, Tapio decoupling model has been widely used in empirical verification owing to the advantage of ease of adaptability, ease of use, and ease of understanding.

In summary, previous studies mainly focused on the carbon emissions from industry or the total carbon emissions amount in a certain nation or region, while few of them focused on the carbon emissions from manufacturing sector and the relationship between energy-related carbon emissions and economic growth in China [18]. Moreover, the changes of carbon emissions at disaggregative level lack analysis, but it is necessary for government to consider the differences of subsectors when making energy saving policies and measures. Therefore, the paper studies the changes of energy-related carbon emissions from China manufacturing over the years from 1996 to 2012, decomposes it in production scale, intrastructure, energy intensity and fuel mix, and carbon emissions coefficient by the means of LMDI, makes the decoupling analysis between energy-related carbon emissions and economic growth, and decomposes the total decoupling elasticity into energy conservation, carbon emissions reduction, output value, and industrial development. In addition, the manufacturing sector is split into two subsectors, energy-intensive (EI) subsector and non-energy-intensive (NEI) subsector; the carbon emissions of each subsector is decomposed, as well as the decoupling analysis.

3. Methods and Data Resource

3.1. Defining Energy-Intensive and Energy-Intensive Subsector

The manufacturing sector here is defined by Standard Industrial Classification (SIC) codes 1–30 according to China Statistical Yearbook, excluding the artwork and other subsectors (SIC code 29) and recycling subsector (SIC code 30) omitted for the limited data. The details of remaining 28 subsectors are shown in Table 1. Manufacturing sectors can be divided into EI and NEI subsectors, based on the extent of energy dependence and the potential strength of drivers to energy intensity improvement [9], and there are three criteria including the aggregate energy intensity of a subsector, the proportion of total financial costs represented by energy and water for a subsector, and the mean energy use per enterprise in a subsector. Given the limited data, the paper chooses the aggregate energy intensity value of 64.6 TJ/10⁸ Yuan as the division criteria [9]. And five subsectors whose values are over the threshold are classified as the EI sector; they are manufacture of pulp, paper, and paper products (SCI code 10), manufacture of petroleum processing, coking, and nuclear fuel (SCI code 13), manufacture of chemicals and chemical products (SCI code 14), manufacture of other nonmetallic mineral products (SCI code 19), and manufacture of ferrous metal smelting and rolling (SCI code 20), and the remaining 23 subsectors are classified as the NEI sectors; all of them are labeled in Table 1. The average energy intensity in the EI subsector is 365.25 TJ/10⁸ Yuan, which is 9.19 times of that in the NEI subsector.

Table 1: Subsector split of the manufacturing sector.

SCI code
Manufacturing subsector
EI/NEI

1
Manufacture of agricultural and sideline products
NEI

2
Manufacture of food products
NEI

3
Manufacture of beverages
NEI

4
Manufacture of tobacco products
NEI

5
Manufacture of textiles
NEI

6
Manufacture of garment, shoes, and hat
NEI

7
Manufacture of leather, fur, and feather
NEI

8
Manufacture of wood and wood products
NEI

9
Manufacture of furniture
NEI

10
Manufacture of pulp, paper, and paper products
EI

11
Publishing, printing, and reproduction of recorded media
NEI

12
Manufacture of stationery and sporting goods
NEI

13
Manufacture of petroleum processing, coking, and nuclear fuel
EI

14
Manufacture of chemicals, chemical products
EI

15
Manufacture of pharmaceutical
NEI

16
Manufacture of chemicals fibers
NEI

17
Manufacture of rubber
NEI

18
Manufacture of plastic products
NEI

19
Manufacture of other nonmetallic mineral products
EI

20
Manufacture of ferrous metal smelting and rolling
EI

21
Manufacture of nonferrous metal smelting and rolling
NEI

22
Manufacture of mineral product
NEI

23
Manufacture of general equipment
NEI

24
Manufacture of special equipment
NEI

25
Manufacture of transport equipment
NEI

26
Manufacture of electrical machinery
NEI

27
Manufacture of communication equipment computer and other electronic equipment
NEI

28
Manufacture of instrument and office machinery
NEI

3.2. Calculation of Energy-Related Carbon Emissions from Manufacturing Sector

Energy consumption includes the end-use energy consumption by manufacturing sector and energy consumption by production of thermal power and heat power. The paper just calculated the end-use energy consumption for the limited data. There are 16 types of energy mainly consumed in the manufacturing sector, including coal, crude oil, natural gas, and other fossil fuels from Energy Balance Sheet of China Energy Statistical Yearbook. Carbon emissions coefficient of each fuel could be calculated referenced by 2006 IPCC Guidelines for National Greenhouse Gas Inventories [19]. Based on these, the carbon emissions of 28 manufacturing subsectors could be calculated, as well as the total manufacturing sector.

3.3. Data Source and Processing

The energy data used in this paper are derived from Energy Balance Sheet of China Energy Statistical Yearbook (1996–2013). Other data come from the Statistical Yearbook of China (1996–2013). To eliminate the effect of price changes, we converted the GDP at current price to the GDP at constant price in 1995 with index reduction method, and the price indexes come from China Statistical Yearbook.

3.4. Decomposition Carbon Emissions Based on LMDI Model

According to LMDI model, the total change in carbon emissions over the period (0 to ) () is the sum of the changes, including the changes in production scale (), the changes in intrastructure (), the changes in energy intensity (), the changes in fuel mix (), and the changes in carbon emissions coefficient (). Carbon emissions coefficients of different basic fuels are approximately constant in China in the actual application; therefore .

The total change in carbon emissions can be expressed as

For manufacturing subsector consuming fuels, the total carbon emissions are given by

where is the output of manufacturing sector, is the output of subsector , is the energy consumption of subsector , is the consumption of fuel in subsector , is the carbon emissions of fuel in subsector , is the output share occupied by subsector , and is the energy intensity of subsector . And represents the proportion of energy in subsector supplied by fuel and is carbon emissions coefficient factor of fuel in subsector .

The components of change in (1) are the following:

where

Equation (3) denotes the production effect, intrastructure effect, energy intensity effect, and fuel mix effect, respectively.

To measure the effect contribution of each factor, we define them as follows:

where , , , and indicate the effect contribution values of production scale, intrastructure, energy intensity, and fuel mix, respectively.

3.5. Decoupling Model between Carbon Emissions and Economic Growth

In order to study the decoupling relation between energy relationship between carbon emissions and economic growth further, the decoupling model could be decomposed into five elasticity values, and the model is given as follows:

where denotes the decoupling elasticity between carbon emissions from subsector and economic growth, is the carbon emissions from subsector at base year, GDP and are the gross domestic product and the secondary industry product value at base year, and and denote energy consumption and output value of subsector , respectively. , , and denote increment of carbon emissions, energy consumption, output value of subsector , respectively, and and denote the increment of secondary industry product value and the gross domestic product.

is the carbon reduction decoupling elasticity, reflecting the elasticity between carbon emissions of subsector and energy consumption, is the energy conservation decoupling elasticity, describing the elasticity between energy consumption of subsector and manufacturing output value, is the output value decoupling elasticity, describing the elasticity between product value of subsector and that of the secondary industry, and is the industrial development decoupling elasticity, describing the elasticity between the secondary industry product value and the GDP. Additionally, the decoupling states defined by Tapio are presented in Table 2 according to the decoupling elasticity value.

Table 2: Eight decoupling states divided by Tapio [15].

Decoupling states
/
GDP/GDP
Decoupling elasticity values ()

Negative decoupling

    Expansive negative decoupling
>0
>0

    Strong negative decoupling
>0
<0

    Weak negative decoupling
<0
<0

Decoupling

    Weak decoupling
>0
>0

    Strong decoupling
<0
>0

    Recessive decoupling
<0
<0

Coupling

    Expansive coupling
>0
>0

    Recessive coupling
<0
<0

4. Results and Discussion

4.1. Changes of Energy-Related Carbon Emissions

As is shown in Figure 1 and Table 3, the energy-related carbon emissions of China manufacturing increased rapidly from 36988.97 × 10⁴ tons of carbon in 1996 to 74923.45 × 10⁴ tons of carbon in 2012 by 6.41% per annum and present obvious change during the different period. The average carbon emissions of EI subsector from 1996 to 2012 account for 83% of the total amount of carbon emissions from manufacturing sector, but its output value only takes up 28% of total manufacturing sector. The carbon emissions of NEI subsector change little during the period, while both the carbon emissions from EI subsector and the total manufacturing sector fluctuate from 1996 to 2012.

Table 3: The proportion of output value and carbon emissions of EI subsector, NEI subsector to the total amount of manufacturing sector in 1996–2012.

Year
Output value proportion
Carbon emissions proportion

EI
NEI
EI
NEI

1996
28%
72%
78%
22%

1997
28%
72%
79%
21%

1998
26%
74%
79%
21%

1999
26%
74%
78%
22%

2000
27%
73%
80%
20%

2001
27%
73%
80%
20%

2002
26%
74%
80%
20%

2003
27%
73%
82%
18%

2004
29%
71%
84%
16%

2005
29%
71%
85%
15%

2006
29%
71%
86%
14%

2007
29%
71%
86%
14%

2008
30%
70%
86%
14%

2009
28%
72%
87%
13%

2010
29%
71%
87%
13%

2011
30%
70%
88%
12%

2012
29%
71%
89%
11%

Average
28%
72%
83%
17%

Figure 1: Change trend of carbon emissions from China’s manufacturing sector and subsector in 1996–2012.

Low carbon emissions and falling trend period (1996–2001): the energy consumption from manufacturing sector and EI subsector in this period decreased gradually, showing falling trend with the year changing. Mainly because of the financial crisis from Asia in 1997, China economy, especially the manufacturing, was affected, and the slow growth rate of manufacturing led to the stable low level of carbon emissions in the whole country.

Rapid growth period (2002–2012): the feature of carbon emissions from manufacturing sector and EI subsector in this period was much higher increasing speed and much bigger amount of carbon emissions. Except the fall in 2010, the total emission amount showed significant upward trend. Because manufacturing sector developed rapidly, the dependence on high energy consumption brought about the rapid growth of carbon emissions, after China joined WTO in 2001. Although China has been advocating transforming economic growth pattern, adjusting and optimizing the intrastructure since 2006, the carbon emissions amount has not changed correspondingly. The policy of energy conservation and reduction still faces great pressure in future to achieve the government targets in 2020.

4.2. Decomposition Analysis of Carbon Emissions

The annual effect of the production scale, intrastructure, energy intensity, and fuel mix on carbon emissions from manufacturing sector is shown in Figure 2. Taking 1996 as the base year, the energy intensity effect was always negative and the production scale effect was positive; both intrastructure and fuel mix had slight changes over the study period. In terms of cumulative effect contribution value of each factor in 2012, as shown in Table 4, the value of production scale was 276.2% and made the largest contribution to the changes of carbon emissions among all factors, indicating the production scale had positive effect on the increase of carbon emissions, energy intensity was an important inhibition factor of increasing carbon emissions, and its cumulative effect contribution value reached −199.3%. The results showed that although energy intensity decreases, the expansion of production from manufacturing sector could result in the increase of carbon emissions.

Table 4: Cumulative effect contribution value of each factor on carbon emissions in the China manufacturing sector, EI, and NEI in 2012.

Factor
Manufacturing sector
EI
NEI

Production scale
2.672
2.46
3.205

Intrastructure
0.087
0.005
−0.194

Energy intensity
−1.994
−1.608
−2.158

Fuel mix
0.145
0.142
0.147

Figure 2: Annual effect of each factor on carbon emissions in the China manufacturing sector, 1997–2012.

While the value of intrastructure and fuel mix was 8.6% and 14.4%, respectively, both the change of intrastructure and fuel mix had no significant impact on curbing carbon emissions of manufacturing sector. Manufacturing sector consumed the coal for approximately over 50% of the total energy consumption during the period, and the coal was still the main fuel source of the energy consumption. Besides, within manufacturing sector, the share of each subsector did not change significantly; the output proportion of EI is still too high with few changes. Thus, both fuel structure and intrastructure of manufacturing sector need to be further optimized in order to curb the increase of carbon emissions in future.

Figures 3 and 4 represent the annual effect of each factor on the changes of carbon emissions from EI and NEI subsectors, respectively. The results showed that the effect value of EI subsector was higher than that of NEI subsector. For each subsector, both production scale and energy intensity had relatively great impact on the changes of carbon emissions during the study period. The effect of production scale on the changes of carbon emissions was positive in most of years during the study period, while energy intensity effect was negative. In comparison, both intrastructure and fuel mix had relative smaller impacts; their cumulative effect contribution values were small, showing relatively weak pushing effects on carbon emissions.

Figure 3: Annual effect of each factor on carbon emissions in EI subsector, 1997–2012.

Figure 4: Annual effect of each factor on carbon emissions in NEI subsectors, 1997–2012.

For EI subsector, in terms of cumulative effect contribution values in 2012, production scale made the largest positive contribution to the changes of carbon emissions and the value reached 246%, energy intensity is the second factor, and its contribution value reached −160.8%, while the value of intrastructure and fuel mix was 0.5% and 14.2%, respectively. As to NEI subsector, all the absolute cumulative effects of contribution value of factors except fuel mix were relatively higher than EI subsector, whose contribution value of the production scale, intrastructure, energy intensity, and fuel mix was 320.5%, −19.4%, −215.8%, and 14.7%, respectively.

4.3. Analysis of Decoupling Elasticity

In order to analyze the relationship between carbon emissions of manufacturing sector and economic growth, the paper calculated the decoupling elasticity value according to (6). And five decoupling elasticity values of manufacturing sector and two subsectors from 1996 to 2012 could be obtained. As to the manufacturing sector, the total decoupling elasticity value was 0.163, expressing the weak decoupling state. Comparing the four decoupling elasticity values, the output value had the biggest value, which was 1.819 presenting the expansive negative decoupling state between the output value of manufacturing sector and that of the secondary industry, while the energy conservation had the smallest value, which was 0.091 expressing the weak decoupling state between the energy consumption and the output value of manufacturing sector. For two subsectors, the weak decoupling state occurred in EI subsector, its total decoupling elasticity value was 0.208, and the strong decoupling state appeared in NEI subsector, and its total decoupling elasticity value was −0.0003.

The annual changes of all decoupling elasticity values from manufacturing sector, EI subsector, and NEI subsector were shown in Figures 5, 6, and 7, respectively. From the change trends of all the decoupling elasticity values during the study period, the total decoupling elasticity of carbon emissions from economic growth had the same trend as the energy conservation decoupling elasticity, it increased between 1997 and 2003 but showed a clear decline after 2003, and the decoupling state transformed from the weak decoupling state to strong decoupling state in 2012.

Figure 5: Change trends of decoupling elasticity values between energy-related carbon emissions and economic growth from manufacturing sector, 1997–2012.

Figure 6: Change trends of each of the decoupling elasticity values between energy-related carbon emissions and economic growth from EI subsectors in 1997–2012.

Figure 7: Change trends of each of the decoupling elasticity values between energy-related carbon emissions and economic growth from NEI subsectors in 1997–2012.

Decoupling elasticity of energy conservation describes the elasticity of manufacturing output value from energy consumption. For manufacturing sector, it had the same trend as the total decoupling elasticity and presented the weak or the strong decoupling state during the study period, indicating the effective policy of energy conservation in China owing to falling energy consumption per unit of output. Analyzing EI and NEI subsector, respectively, both two subsectors had slight change, and the state of weak decoupling often appeared in EI subsector almost every year, but the strong decoupling often occurred in NEI subsector. Either weak decoupling or strong decoupling state occurred in manufacturing sector during the study period except in 2003 and 2004, showing significant decoupling effects.

Decoupling elasticity of carbon emission reduction reflects the energy consumption elasticity of carbon emissions. For China manufacturing, it increased between 1997 and 2000 but began to decline after 2000, and the expansive coupling state appeared many times during the study period, which indicated that the policy of carbon emissions reduction in China manufacturing had little effect. Analyzing two subsectors, respectively, the expansive coupling state mainly appeared in EI subsector, while recessive coupling state mainly occurred in NEI subsector during the study period.

Decoupling elasticity of output value describes the secondary industry value of elasticity of the manufacturing sector output value. For the manufacturing sector, it expressed the state of expansive coupling or expansive negative decoupling from 1997 to 2012, indicating the production value of manufacturing sector increased more than the secondary industry. Like the total manufacturing sector, both EI and NEI subsectors were also in the state of expansive coupling state or expansive negative decoupling during the study period, but the growth rate of EI sector was lower than that of NEI subsector.

Decoupling elasticity of industrial development describes the GDP elasticity of the secondary industry output value. Either the state of expansive coupling or expansive negative decoupling mainly appeared in 1997–2012, indicating the growth rate of the secondary industry increased more than GDP. Although our government has been encouraging the development of the third industry, the secondary industry took up higher proportion of GDP, and it was 45.3% in 2012.

5. Conclusions and Implications

Energy-related carbon emissions from 1996 to 2012 were calculated from 28 subsectors of China manufacturing consuming 16 types of fuels, and the results indicated that carbon emissions from China manufacturing sector have been increasing rapidly since 2002. The paper makes the analysis of the reasons of the increase of carbon emissions, and the relationship between carbon emissions and economic growth. The conclusions are as follows:

(i)Production scale was the major positive contribution factor affecting energy-related carbon emissions, which had closely relationships with the expansion of manufacturing output in recent years. However, curbing the product of manufacturing is not the feasible approach to decrease the carbon emissions for the economic growth. The way to solve the issue in the long run is to develop low carbon economy and decrease energy intensity to improve energy efficiency to coordinate the carbon emissions and economic development.(ii)Energy intensity always had strong inhibiting effects on the increase of carbon emissions, showing downward trend during the study periods. This is connected with the energy conservation and emission reduction advocated in recent years, and particularly since the 11th Five-Year Plan period, China has been developing environment-friendly industries and the new low carbon industries, strengthening the assessment of energy conservation and the elimination of backward production capacity. So we should continue strengthening the policies of energy conservation and emission reduction, and technological innovations, in order to promote the industry upgrading and improve the energy use efficiency.(iii)Intrastructure had weak positive influences on carbon emissions, which showed irrational structure existing within manufacturing sector, too many extensive subsectors with high energy consumption but low output. The policies of industrial structure adjustment advocated in China in recent years have little effects on reducing carbon emissions. So keeping optimizing intrastructure and converting extensive subsectors into intensive ones should be taken as main strategies to drive intrastructure adjustments.(iv)Compared with the other factors, the effect of fuel mix on carbon emissions was relatively weak, which was related with the long-term dependence on coal and petrol consumption. So the government should promote energy structure adjustment and develop reproducible energy such as nuclear energy, water energy, wind energy, solar energy, and bioenergy, to optimize fuel structure and decrease the dependence of energy consumption on fossil energy in future.(v)Only 5 subsectors in the 28 subsectors of manufacturing were classified as EI subsector, which accounted for 28% of total manufacturing output value but contributed 83% to the total carbon emissions of manufacturing sector. Both EI and NEI subsectors had two same factors of affecting emission change, production scale, and energy intensity, while the effect values of the two factors in EI subsector were much higher than that in NEI subsector, but the cumulative effect contribution values were relatively lower. Therefore, the EI subsector still has much more potentiality of energy conservation and emission reduction than NEI subsector.(vi)Weak decoupling of manufacturing sector carbon emissions from GDP could be observed during the study period. Weak decoupling state in EI subsector and strong decoupling state in NEI subsector were observed in most years of the study period. In order to sustain the decoupling relationship between carbon emissions of manufacturing sector and GDP, our government need to strengthen the decoupling elasticity of energy conservation and carbon emissions reduction.

There are some limitations in the paper. Carbon emissions are only involved in the final energy consumptions without considering the production process which also generates carbon emissions. In addition, carbon emissions from manufacturing sector at the provincial level should be studied so as to establish appropriate and specific low carbon policies and measures for the large difference of province, which is the direction of the research in future.

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

Acknowledgments

The authors gratefully acknowledge the Natural Science Foundation of China for Grant Support (no. 41401163) and Shandong Province Soft Science for Grant Support (no. 2014RZB01009, no. 2013RZB01023).

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