Abstract
Improving energy–environmental efficiency is prerequisite for sustainable development. In order to explore ways to improve energy–environmental efficiency, this paper uses the undesired output slack-based model to measure the energy–environmental efficiency of the Yangtze River urban agglomeration based on the input and output index data from 2008 to 2017, and its spatial and temporal pattern evolution is analyzed by using kernel density estimation, Gini coefficient, and coefficient of variation. Moreover, the Tobit regression model is used to analyze the influencing factors of the energy–environmental efficiency of the Yangtze River urban agglomeration. The results indicate that the energy–environmental efficiency of each city is increased continuously, and the regional differences are gradually narrowed. The spatial pattern is changed from polar nucleus type to valley type, and finally the distribution characteristics of “overall high” are formed. Overall, the energy–environmental efficiency presents a spatial layout of “high in the east and low in the west.” The regression results show that the level of economic development and energy–environmental efficiency are “U-type” associated characteristics, and government regulation and population density have significant positive effects on it. Industrial structure and technological progress have negative effects on it, and the effect of opening degree is not significant.
Keywords
Introduction
As a strategic resource, energy plays an important role in national and regional economic development, 1 but energy consumption also generates environmental challenges in countries throughout the world. 2 The global environmental problem has increased with increase in energy demand.3,4 China is currently the largest energy producer and consumer in the world. 5 Energy consumption and CO2 emissions have been at top level in the world for many years. 6 According to BP, 7 China accounted for 23.2% of global energy consumption and 33.6% of global energy consumption growth in 2017, ranking first in global energy growth for 17 consecutive years. The energy and environmental issues are main hurdles for sustainable development. 8 In the face of the increasingly prominent contradiction between the economy and the environment, how to achieve sustainable economic and social development and take into account the green and healthy development of the environment has become a topic of great concern to governments and all sectors of society. With the promulgation of national environmental protection policies and people’s high standards for environmental quality, improving the utilization efficiency of energy and environment is of great significance for China’s economic transformation and environmental sustainable development. 9 It is not only an inevitable choice to achieve sustainable economic and social development, 10 but also an important means to achieve energy conservation and emission reduction. 11 As a competitive region in China, the Yangtze River urban agglomeration has many problems, 12 such as unreasonable energy, environmental consumption structure, and serious environmental pollution. 13 Therefore, this paper takes the Yangtze River urban agglomeration as an example to study the spatial and temporal differentiation characteristics of energy–environmental efficiency, and analyzes the influencing factors of energy–environmental efficiency, which has important sense for promoting the coordinated development of energy–environmental efficiency at the regional level.
Research on energy efficiency mainly has two perspectives: single factor and total factor energy efficiency. Since single factor energy efficiency does not consider the substitution between energy and other input factors, many studies have focused on energy efficiency under the framework of total factor. For instance, Hu and Wang 14 first analyzed the energy efficiency of China by using the total factor index, and introduced DEA into China’s energy efficiency analysis. It has effectively overcome the shortcomings of traditional single factor energy efficiency research methods. Since then, DEA has been widely used to evaluate the environmental and energy performance of decision-making units from the perspective of global economic development. 15 Similar studies using DEA to study total factor energy efficiency include Borozan, 16 Ouyang et al., 17 and Zhou et al. 18 However, the studies above did not take undesired outputs into account; Mandal 19 pointed out that the DEA model that ignores undesired outputs will cause deviation of energy efficiency measurement. Wang et al. 20 confirmed the existence of deviation by comparing the energy efficiency considering undesired output and not considering undesired output. Li and Hu 21 found that energy efficiency would be overestimated if environmental factors were not considered. Wu et al.’s 22 research shows that ignoring undesired output will make the total factor energy efficiency measurement result higher. With the extensive attention of the academic community on environmental pollution in the process of energy consumption (Lin, 2012) 23 , the slack-based model (SBM) based on undesired output is widely used in the evaluation of total factor energy efficiency.24,25 The SBM model introduces the slack variable into the objective function, which solves the deviation problem caused by the neglect of the slack variable in traditional DEA model. Although the SBM model has been widely used in many fields, few scholars have combined energy and environment to study the energy–environmental efficiency by using the SBM model.
The research on the temporal and spatial evolution characteristics of energy efficiency is mainly based on national and provincial scales. Pan et al. (2012) 26 , Yang and Liu, 27 and Guan and Xu 28 measured energy efficiency on China’s provinces by using panel data and found that energy efficiency presented the characteristics of regional differentiation; the polarization between the east and the west is serious. However, few scholars have been involved in the evolution of the spatial and temporal pattern of energy efficiency considering environmental constraints. Moreover, studies on the influencing factors of energy and environmental efficiency are even more scarce, most of the references are about influencing factors of energy efficiency. For example, Cui et al. 29 analyzed the main factors affecting energy efficiency and found that technology level and management indicators are important factors. Yao et al. 30 analyzed the influence of technology gap on China’s energy efficiency and carbon emission performance with DEA model considering group heterogeneity. In recent years, a few scholars have paid attention to this aspect, such as Chen et al. 31 and Xiao et al. 32 However, they studied the energy–environmental efficiency of the industrial sector at the national and provincial levels, respectively, without paying attention to the factors affecting the energy–environmental efficiency at the regional level. Therefore, the influencing factors of energy–environmental efficiency at the regional level need to be further explored.
Most scholars only consider the expected economic output and lack the analysis of the environmental factors of undesired output when studying the energy efficiency problem. Moreover, the researches on the spatial and temporal differentiation of energy efficiency are mostly based on national and provincial scales, and the literature of energy–environmental efficiency from the perspective of cities was ignored. Therefore, this paper takes Yangtze River urban agglomeration as the research object. Combined with the existing research 33 and taking into account the characteristics of the Yangtze River urban agglomeration, this paper defines energy–environmental efficiency as the energy efficiency that takes environmental constraints into account under the total factor framework. Through incorporating environmental factors into the measurement of energy efficiency, and analyzing its spatial and temporal pattern evolution characteristics and influencing factors, so as to provide reference for realizing the win-win situation of regional economic benefit and ecological environment benefit.
The rest of the paper is structured as follows: the second section is “Research methods and data processing”; the third section is the “Analysis and discussion of energy–environmental efficiency results”; the fourth section is the “Analysis of influencing factors of energy–environmental efficiency”; and the last section is the “Conclusions, findings, and recommendations.”
Research methods and data processing
SBM model
The SBM model was proposed and extended by Tone.
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The efficiency problem under undesired output can be more effectively evaluated (Tu and Liu, 2011)
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by putting the relaxation variable into the objective function. The undesired output SBM model can better solve the problem of environmental pollution factor not being included in the model and input–output relaxation, so it is an ideal research method. In this paper, environmental factors are incorporated into the SBM model. The non-radial SBM model formula with the same return to scale can be written as
Kernel density estimation
Kernel density estimation is a non-parametric method for estimating the probability density function. The density distribution of different years can be calculated by the kernel density estimation, which is convenient for comparative analysis of the temporal variation of a particular economic activity. Suppose
Gini coefficient and coefficient of variation
The Gini coefficient is an economic indicator that measures the overall level of income distribution differences by quantitative analysis and is widely used to study and analyze regional differences. This study uses the formula of the Locational Gini Coefficient proposed by Krugman. Its function form can be written as
Further, the coefficient of variation is a statistic that measures the dispersion degree of observations in a set of data. It can be written as
Tobit regression model
In order to avoid the deviation of the results produced by the calculation of the general panel regression model effectively, this paper uses the Tobit regression model to analyze the influencing factors of the energy–environmental efficiency. Tobit standard panel model can be written as
Since the efficiency value obtained by the SBM model is between 0 and 1, the explained variables of the regression equation are limited to this interval. Based on the traditional Tobit regression model and selected indicator variables, the function form can be written as
Indicator selection and data source
Evaluation index selection
The panel data from 2008 to 2017 were used, and input–output relationship of the total factor energy–environmental efficiency was estimated based on the Cobb–Douglas production function. Based on the previous studies, we selected appropriate input and output indicators combining with the unique characteristics of Yangtze River urban agglomeration.
The input indicators are described as follows: capital is measured by capital stock indicators; labor is represented by the number of employees in eight cities of Yangtze River urban agglomeration; energy is denoted by the total energy consumption of Yangtze River urban agglomeration.
The output variables are as follows: The desired output is represented with the gross regional product of the Yangtze River urban agglomeration. This output is measured by the real GDP during the period from 2008 to 2017, where 2008 is the base year. The undesired output is environmental pollution; in view of the availability of data, the synthetic variables of industrial SO2 and industrial soot emissions are selected as the undesired output indicators. The description of each indicator is shown in Table 1.
2. Data sources
One-decade panel data (from 2008 to 2017) are used for this study, collected from different sources such as China Environmental Statistical Yearbook, the Jiangsu Statistical Yearbook, the China Energy Statistical Yearbook, and the statistical yearbooks and environmental status bulletins of each city. Taking the comparability of the results into account, the unified conversion is based on the 2008 constant price GDP. The GDP data are derived from the Jiangsu Statistical Yearbook from 2008 to 2017. The capital input index draws on the research of Shan
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and uses the “perpetual inventory method” to calculate the capital stock. The specific formula is given in equation (10)
Analysis and discussion of energy–environmental efficiency results
Energy–environmental efficiency measurement results
The energy–environmental efficiency value is calculated by using the SBM model (Table 2), and the histogram of the energy–environmental efficiency change is plotted with these data (Figure 1).
Evaluation index system of energy–environmental efficiency measurement.
GDP: gross domestic product.
Calculation results of energy–environmental efficiency under the undesired output SBM model.

Distribution of energy–environmental efficiency in Yangtze River urban agglomeration from 2008 to 2017.
Explanation of influencing factors of energy–environmental efficiency.
GDP: gross domestic product.
Tobit regression results of influencing factors of energy–environmental efficiency.
Note: ***, **, and * indicate the regression coefficients are significant at 1, 5, and 10%, respectively.
Tobit regression results of influencing factors of energy–environmental efficiency.
Note: ***, **, and * indicate the regression coefficients are significant at 1, 5, and 10%, respectively.
It is found that the cities with the highest energy–environmental efficiency are Suzhou and Wuxi. From 2008 to 2017 period, the efficiency value is equal to 1. It indicates that the evaluation unit DEA is effective and at production frontier; Nantong and Changzhou are closely followed, most of the years are also on the front curve, and the annual average energy–environmental efficiency exceeds 0.9. The two cities with the lowest energy–environmental efficiency are Taizhou and Zhenjiang although there are certain gaps compared with other cities; however, it has reached a higher efficiency level around 0.7 and has a large space for energy saving. Overall, it can be seen that the energy–environmental efficiency of the Yangtze River urban agglomeration is in a good situation.
The histogram of the energy–environmental efficiency change is plotted in Figure 1. Since 2008, except Suzhou, Wuxi, and Nantong, the energy–environmental efficiency of the other five cities has shown a rising trend; the energy–environmental efficiency of the six cities has reached 1 by 2017. In terms of overall distribution, the average energy–environmental efficiency of the Yangtze River urban agglomeration reached 0.849 in the past 10 years, and the overall trend showed a gradual upward trend. The energy input–output structure was gradually optimized, and the energy-saving and efficiency-oriented approach was gradually advanced.
Spatial and temporal differences of energy–environmental efficiency
Drawing on the research results of Sun and Li, 41 and taking the rationality of the data into account, the annual efficiency data of 2008, 2011, 2014, and 2017 are used to draw the kernel density distribution map of the energy–environmental efficiency of the Yangtze River urban agglomeration. The kernel density distribution of energy–environmental efficiency of Yangtze River urban agglomeration is given in Figure 2.

Kernel density distribution of energy–environmental efficiency.
From the shape of the kernel density curve, the energy–environmental efficiency of the Yangtze River urban agglomeration shows a double-peak state from 2008 to 2017. The difference in kernel density values corresponding to the peaks is large; it shows that the spatial difference in energy–environmental efficiency is significant. Our results are in line with Pantaleo et al. 42 At the same time, as the opening on both sides of the curve shrinks, it depicts that the gap between high energy efficiency and low energy efficiency is gradually narrowing, and the differentiation phenomenon tends to ease.
From the position point of view, the kernel density curve is shifted to the rightward as a whole, and the kernel density value corresponding to the peak gradually increased, indicating that the environmental efficiency is generally increasing. From the perspective of input–output, the energy consumption growth rate in the 10-year period has dropped from 6.1 to 5.4%. At the same time, the discharge of industrial waste water and waste gas in urban agglomeration has also declined. It indicates that by the development and utilization of new clean green energy, the energy structure is gradually adjusted and transformed, and environmental problems are gradually improved, so the energy–environmental efficiency presents a rising trend on the whole.
From the aspect of kurtosis, the nucleus of the kernel density curve tends to be steep on the right side, and the kernel density value of the right peak gradually increases, indicating that most of the urban energy–environmental efficiency gathers toward the high efficiency area gradually. The improvement of Nanjing and Yangzhou is large overall, indicating that the two cities are shifting toward a green and low-carbon development model gradually. The reduction of energy consumption has promoted the improvement of the ecological environment and provided a good space for economic development. In turn, the economic development provides financial support for dealing with energy and environmental issues, and the energy–environmental efficiency has improved.
Evolution of spatial pattern of energy–environmental efficiency
Based on the efficiency data of four equal intervals in 2008, 2011, 2014, and 2017, and the average energy–environmental efficiency from 2008 to 2017, the spatial distribution map of energy–environmental efficiency of the Yangtze River urban agglomeration is drawn. From the energy–environmental efficiency radar map of the Yangtze River urban agglomeration (Figure 3), it can be seen that the energy–environmental efficiency level in urban agglomeration is generally high, and the efficiency values are concentrated between 0.6 and 1.

Radar diagram of energy–environmental efficiency from 2008 to 2017.
Based on the division method of efficiency value by Liu and Shen 43 and Cheng et al., 44 the energy–environmental efficiency of the Yangtze River urban agglomeration is divided into four levels: inefficient area (0–0.6), medium efficiency area (0.6–0.75), higher efficiency area (0.75–0.9), and high efficiency area (0.9–1.0), and the energy–environmental efficiency hierarchical map is obtained (Figure 4).

Layering diagram of energy–environmental efficiency in different years.
Figure 4(a) shows that there were three types of energy–environmental efficiency rating zones in 2008. The energy–environmental efficiency declined step by step from the southeast to the northwest, showing the polar nuclear spatial distribution with Wuxi, Suzhou, and Nantong as the core, forming a central–peripheral spatial layout. Figure 4(b) shows that the spatial structure of energy–environmental efficiency changed slightly in 2011, showing a spatial pattern that spread from the periphery to the middle. Figure 4(c) shows that the energy–environmental efficiency presented a valley-like spatial distribution pattern of “high east-west and middle low” in 2014. Figure 4(d) indicates that the energy–environmental efficiency in 2017 showed a spatial distribution pattern of “overall high.” During this period, except for Taizhou, the other seven cities have reached the level of high efficiency, the spatial polarization effect is weakened, and the diffusion effect is enhanced.
According to the classification of the average energy–environmental efficiency of the Yangtze River urban agglomeration in 2008–2017 (Figure 5), it can be seen that the energy–environmental efficiency shows a small polarization phenomenon in space, and generally forms the spatial distribution feature of energy–environmental efficiency “high in the east and low in the west.”

Energy–environmental efficiency layering from 2008 to 2017.
Spatial differences in energy–environmental efficiency
Gini coefficient and coefficient of variation are used to compare the overall difference and dispersion of data, and analyze the spatial variation trend of energy–environmental efficiency of Yangtze River urban agglomeration. Figure 6 indicates that although the Gini coefficient fluctuated slightly from 2008 to 2017, it shows a slight downward trend as a whole. It means that the spatial difference in energy–environmental efficiency among cities decreased gradually. The coefficient of variation and the Gini coefficient show a similar fluctuation trend, reflecting a more obvious dispersion degree of energy–environmental efficiency among cities, and further indicate that the spatial difference of energy–environmental efficiency shrinks with time gradually. In general, the Gini coefficient and the coefficient of variation jointly indicate that the energy–environmental efficiency difference among cities shows a gradual narrowing trend from 2008 to 2017.

Gini coefficient and variation coefficient of energy–environmental efficiency from 2008 to 2017.
Analysis of influencing factors of energy–environmental efficiency
Drawing on existing research 45 and combining the characteristics of the Yangtze River urban agglomeration, this study chooses six factors: economic development level, industrial structure, openness, technological progress, government regulation, and population density. The detailed description of these variables is presented in Table 3. The Tobit regression model is used to analyze the impact degree on the energy–environmental efficiency of the Yangtze River urban agglomeration.
Tobit regression results
The regression results are demonstrated in Table 4. The external opening factor (X3) does not pass the test at the 10% significance level, indicating that its effect on the energy–environmental efficiency is not significant, so it is removed from the model and the regression is performed again. The results are as follows (Table 5).
Discussion of results
The level of economic development is negatively correlated with the energy–environmental efficiency, while the square of economic development level is positively correlated with the energy–environmental efficiency, indicating that the level of economic development and energy–environmental efficiency show a “U-shaped” state. From 2008 to 2017, the energy–environmental efficiency first decreased and then increased. The reasons are as follows: First, in the early stage of economic development, high energy consumption, high emissions, and high pollution under the high-speed growth mode inevitably lead to high input and low output. Second, with the gradual promotion of the green and low-carbon economy, the improvement of production mode and the strengthening of urban ecological civilization construction, the energy input has become more rationalized, the consumption structure has been improved, and the energy–environmental efficiency has gradually been improved.
The industrial structure, energy consumption per unit of GDP, and energy–environmental efficiency are negatively correlated. This study compares the measured energy–environmental efficiency value with the corresponding industrial structure and finds that the proportion of secondary industry in each city had declined in the past 10 years. The proportion of the tertiary industry had gradually increased. Until 2016, the proportion of the secondary industry in most cities has been less than 50%, while the overall energy–environmental efficiency has also shown an upward trend. The energy consumption per unit of GDP is significantly negatively correlated with the energy–environmental efficiency of the Yangtze River urban agglomeration. The input of energy factors will lead to higher environmental output and environmental degradation, resulting in a decline in energy–environmental efficiency. The degree of openness is negatively correlated with the energy–environmental efficiency, but not significant.
Government regulation, population density, and energy–environmental efficiency are positively correlated. From a macro perspective, local governments can improve the energy consumption structure and environmental pollution of the region effectively by adjusting the energy consumption structure and introducing environmental protection policies. Population density has a significant positive correlation with energy–environmental efficiency, and the improvement of living standard, cultural level, and environmental awareness brought about by increase of population density has a greater promoting effect on energy–environmental efficiency than the negative effect caused by the increase of ecological environment pressure. The increase in population density causes changes in urban function and spatial layout.
Conclusions, findings, and recommendations
Conclusions, findings
To study the energy–environmental efficiency problem at region and city level, this paper uses the input and output index data of the Yangtze River urban agglomeration, and integrates the environmental factors into the SBM model to analyze the evolution characteristics of its energy–environmental efficiency, and uses the Tobit regression model to explore the influencing factors of energy–environmental efficiency, which has certain reference significance for improving regional energy–environmental efficiency. Based on study findings the following conclusion can be drawn:
By calculating the energy–environmental efficiency values of the Yangtze River urban agglomeration, it is found that except Suzhou, Wuxi, and Nantong, the energy–environmental efficiency of other cities shows the upward trend of fluctuation and converges into the high-efficiency area gradually. However, the difference in energy–environmental efficiency among cities still exists and it shrinks with time gradually. From the overall distribution point of view, the energy–environmental efficiency showed the trend of declined first and then rose in the past 10 years, indicating that the energy input and output structure of the Yangtze River urban agglomeration is optimized gradually, and it is gradually developed in the direction of energy saving and high efficiency. It is found that the energy–environmental efficiency has been increasing continuously over the past 10 years, and the spatial difference has been fluctuating with the passage of time, but the difference still exists. The spatial pattern has evolved from the polar nucleus to the valley type gradually, and it forms a distribution pattern of “overall height” finally. The role of spatial polarization effect is gradually weakened, the diffusion effect is gradually enhanced, and the spatial pattern is gradually developed from a single center to an integrated direction. The spatial layout characteristics of energy–environmental efficiency “high in the east and low in the west” are formed as a whole. The energy–environmental efficiency of the Yangtze River urban agglomeration is not only related to the changes in the input and output factors of each city, but also related to the overall external environment. Through the Tobit regression model analysis, it is found that the level of economic development and energy–environmental efficiency show “U-shaped” correlation characteristics. Government regulation is the key driving factor to improve the energy–environmental efficiency of Yangtze River urban agglomeration. The increase of population density also has a significant role in promoting energy–environmental efficiency. Industrial structure, technological progress will hinder the improvement of energy–environmental efficiency; the degree of openness to the energy–environmental efficiency is not significant.
Recommendations
There are differences in the development of energy and environmental efficiency among cities in the Yangtze River urban agglomeration. To improve energy–environmental efficiency it is necessary to abandon the extensive economic development model and build a new manufacturing industry cluster along the Yangtze River. For cities with low energy–environmental efficiency in urban agglomeration such as Yangzhou, Zhenjiang, and Taizhou, they should make full use of regional labor force advantages, resource advantages, and industrial advantages, and actively develop regional characteristic industries. For cities with high energy–environmental efficiency such as Suzhou and Wuxi, priority can be given to the development of strategic emerging industries and the reduction of the proportion of heavy industries. Regional central cities should rely on the advantages of resources, talents, and capital to continue to promote the development of modern service industries.
Realize the transformation and improvement of urban agglomeration industry by optimizing the industrial structure. First, it is possible to develop regional characteristic industries and advantageous industries, and build a modern industrial system with complementary advantages and close coordination jointly. Second, establish a new industrial system with low carbon cycle and regional integration, and cultivate a clean energy industry. For example, Nantong, the eastern city, can rely on its coastal advantages to the sea to establish a marine industrial base. Then promote the industrial structure to the direction of rationalization and high level to promote the improvement of energy–environmental efficiency in transformation of industrial structure.
Strengthen the government environmental protection to improve efficiency at the macro level. The government should increase investment in environmental protection and restoration, and explore inter-regional ecological compensation mechanism actively, through the way of establishing ecological compensation fund, improving taxation policy, and exploring market-oriented model to expand the coverage of ecological compensation and improve the benefits of it. Government departments should explore the “Green GDP” accounting system actively, strengthen the corporate environmental credit management, and improve the entry barriers for energy and environmental projects, thereby improving the ecological environment at a macro level and promoting the energy–environmental efficiency of the Yangtze River urban agglomeration.
Establish a regional coordination mechanism to improve the coordinated development of various regions. First of all, we should increase the policy tilt of human resources, finance, and technology in cities with lower energy–environmental efficiency levels. At the same time, the high efficient areas can promote the development of low efficient areas through external collaboration and factor transfer. Second, it is necessary to strengthen the cooperation among municipal governments and break down administrative barriers and factor barriers. It is also necessary to build a coordinated management mechanism for energy consumption and pollution emissions to achieve coordinated and integrated development of energy–environmental efficiency in urban agglomerations.
Footnotes
Declaration of conflicting interests
The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was financially supported by the National Natural Science Foundation of China (NSFC), Peoples’ Republic of China (Grant number 71263040, 71850410541, 91546117), Humanities and social sciences research project of the Ministry of Education (20YJAZH096), the Startup Foundation for Introducing Talent of Nanjing University of Information Science and Technology (NUIST), Peoples’ Republic of China (Grant number 2017r101), Key Project of National Social and Scientific Fund Program (18ZDA052), Project of National Social and Scientific Fund Program (17BGL142).
