Evaluation of regional low-carbon circular economy development: a case study in Sichuan province, China

Purpose – This paper aims to build a scienti ﬁ c evaluation index system for regional low-carbon circular economic development. Taking Sichuan Province as the empirical research object, the paper evaluates itslow-carbon circular economy (LCCE) development level and proposes policy recommendations for climate change improvement basedon theevaluation results. Design/methodology/approach – This paper, ﬁ rst, built an evaluation index system with 30 indicators within six subsystems, namely, economic development, social progress, energy consumption, low-carbon emissions, carbon sink capacity and environmental carrying capacity. Second, develop an “ entropy weight-grey correlation ” evaluation method. Finally, from a practical point of view, measure the development level of LCCE in SichuanProvince, China, from 2008 to 2018. Findings – It was found that Sichuan LCCE development had a general downward trend from 2008 to 2012 and a steady upward trend from 2012 to 2018; however, the overall level was low. The main factors affecting the LCCE development are lagging energy consumption and environmental carrying capacity subsystem developments. Research limitations/implications – This paper puts forward relevant suggestions for improving the developmentof a low-carboneconomyandclimate change for thereferenceof policymakers. Originality/value – This paper built an evaluation index system with 30 indicators for regional low carbon circular economic development. The evaluation method of “ entropy weight-grey correlation ” is used to measure thedevelopment levelof regionalLCCE in SichuanProvince, China.


Introduction
Rapid economic and social development has caused significant environmental problems, such as climate change, ozone layer destruction and air pollution, threatening global sustainable development (Lu et al., 2019;Li et al., 2020).Climate change appears to be an environmental issue, but in essence, it is a development issue.To environmental protection, the "Circular Economy (CE)" concept was proposed by the American economist Boulding in the 1960s (Boulding, 1966) as part of his "Spaceship Theory."The CE is defined as an economic model with the core principles of reducing, reusing and recycling (Winans et al., 2017).Subsequently, at the beginning of the 21st century, the British Government introduced the "Low-Carbon Economy (LCE)" concept in its first energy white paper (DTI, 2003).This concept received support from other developed nations, such as the USA, Japan and the European Union countries.A LCE refers to the efficient use of resources, the development of clean energy, reducing environmental pollution and obtaining more economic output.As a typical developing country, China is right in the rapid process of industrialization and urbanization; therefore, the total amount and the rate of greenhouse gas emission have increased tremendously (Jiang et al., 2010).And as urbanization is accelerating and the economy continue to expand, the demand for resources and energy is expected to rise commensurately (Geng et al., 2016).Figure 1 shows the carbon dioxide (CO 2 ) emissions trends and growth rate over the 40 years of reform and opening in China, from which China's CO 2 emissions increased sharply at the beginning of the 21st century, slightly slowed in 2012, but continued to rise after 2015.Therefore, transforming the traditional economic development model to a circular, low-carbon sustainable economic development path has become inevitable (Mathews and Tan, 2016).In November 2012, the Chinese Government implemented the circular LCE as the means to transform its development model (Hu, 2012) through projects, such as low-carbon park construction, new energy developments, waste classification and recycling and the active exploration of low-carbon circular development models based on regional characteristics (Wang and Chang, 2014;Bocken et al., 2016).
Since the LCE and CE theories were put forward, scholars have attracted much attention (Kirchherr et al., 2017;Korhonen et al., 2018a) and become policy foci (Zink and Geyer, 2017;Li et al., 2012).It is now commonly acknowledged that to promote the low-carbon CE  Low-carbon circular economy development (LCCE), the introduction of monitoring and evaluation tools like indicators to measure and quantify this progress becomes essential (Zhou et al., 2015a, Elia et al., 2017).Many indicator systems have been developed to analyse a city's sustainable development, but it requires a complicated set of input data often challenging to collect.Such as the green growth index system (OECD, 2011).The United Nations Environment Programmer (UNEP) also set a green economy measurement framework covering resource efficiency, economic transformation, social progress and human well-being (UNEP, 2012).The European Environmental Agency identifies the main policy questions concerning CE related to five areas in a lifecycle perspective: material input, eco-design, production, consumption and waste recycling (EEA, 2016).
In 2016, the National Development and Reform Commission and the National Bureau of Statistics of China formulated the "Green Development Index System," which mainly covers seven aspects: resource utilization, environmental governance, environmental quality, ecological protection, growth quality, green life and public satisfaction.China's recently issued "Evaluation Index System of Circular Economy Development (China, 2017 Edition)" (EIS2017) divides indicators into three categories: comprehensive indicators, special indicators and reference indicators.While this is being applied at a national level, it has not been adopted (nor has any other indicator system) at the urban level.Most cities do not collect sufficient statistical data (e.g.waste electronics or kitchen waste recycling rates) to assess CE development properly.Also, Tan et al. (2017) established an indicator framework for evaluating low-carbon cities from financial, energy, social and living, carbon and environment, urban mobility, solid waste and water.
In the past years, researchers and institutions' concept of LCCE has been widely explored as a possible path to increase our economic system's sustainability.And several case studies analyse its application in different contexts.However, state of the art shows that in-depth research on LCCE assessment and indicators still lacks regional level.There is no one-sizefits-all solution for assessing Regional LCCE (RLCCE) development.Bottlenecks in data availability (EIS2017), representativeness of selected indicators and accurate evaluation methods have restricted the calculation.
To bridge these gaps, this study makes several academic contributions to the field: For one, based on previous research, a comprehensive evaluation indicator system of RLCCE is re-designed.It includes 30 indicators in six aspects: "economic development, social progress, energy consumption, low carbon emissions, carbon sink capacity, and environmental carrying capacity." Secondly, combined the objectivity of the entropy weight method and the grey correlation method's computational simplicity to develop an "entropy weight-grey correlation" evaluation method.From a practical point of view, measure the development level of LCCE in Sichuan Province, China, from 2008 to 2018.And the evaluation results are divided into four grades: A, B, C and D.
Finally, through the evaluation results and discussion, this article puts forward relevant suggestions for improving the development of a LCE and climate change for the reference of policymakers.
Therefore, the remainder of this paper is organized as follows.Section 2 summarizes previous LCCE research.Section 3 introduces the circular low-carbon economic development evaluation index and models based on the entropy weight and grey correlations.Section 4 conducts an empirical analysis in Sichuan Province, China.Section 5 gives the calculation results and associated discussion and Section 6 concludes the paper and gives policy recommendations based on the evaluation results.IJCCSM 14,1 2. Literature review 2.1 Evaluation index system of low-carbon circular economy Due to the inconsistent understanding of low-carbon development and circular development from all walks of life, the index systems established by different institutions or scholars in this field are also quite different.
On the one hand, it selects indicators related to carbon emission reduction in various areas, such as economy, society and ecological environment, to establish an indicator system (Tan et al., 2017).Hu et al. (2011) study the low-carbon development of China by giving an "Economy-Energy-Electricity-Environment" framework.Jia et al. (2012) (Hu et al., 2018;Tang et al., 2020).
On the other hand, it is based on the Driving Forces-Pressure-State-Impact-Response (DPSIR) model to establish a low-carbon development indicator system.Zhou et al. (2015a) constructed a quantitative index system of low carbonization based on the DPSIR model.The DPSIR framework was used to analyse greenhouse gases emissions' socio-economic dynamics and their pressures on the environment, the state of the environment, related climate change impacts and society's responses.

Evaluation methods of low-carbon circular economy development
There are many methods to evaluate economic development, and the combination method is currently used.The indicators are weighted first and then assessed.The index weight is of great significance in the overall evaluationthe greater the weight, the more critical the index.
Generally, either objective weighting or subjective weighting methods are used.Subjective weighting, which has solid subjective arbitrariness, is typically represented using analytic hierarchy processes, fuzzy clustering methods or Delphi methods (Gustafson and Kessel, 1979;Linstone and Turoff, 1975;Saaty, 1988).Objective weighting, which has a solid theoretical mathematical basis, is generally determined through the relationships with the initial data to avoid weighting subjectivity, with the usual methods being the coefficient of variation and the entropy value method (Reed et al., 2002;Gray, 2011).The entropy weight method has been found to have higher precision, a better ability to explain the obtained results, greater adaptability and can be used in any process that requires weight determination (Delgado and Romero, 2016).Several comprehensive evaluation methods have been widely used, such as fuzzy extensive evaluation methods, the technique for order of preference by similarity to ideal solution and the grey correlation method, each of which has advantages and disadvantages (Dong et al., 2020;Kutlu Gündo gdu and Kahraman, 2019).The grey correlation method has a simple structure and low data quantity, and data distribution system requirements.It requires less calculation.Consequently, it has been widely used in agriculture, industry, economics, management and other disciplines and has achieved remarkable results (Wang et al., 2015;Delgado and Romero, 2016;Lu et al., 2008;Ren et al., 2020).Therefore, this paper combines an objective entropy weight method and Low-carbon circular economy development grey correlation to develop an entropy weight-grey correlation evaluation method to measure China's LCCE development.
Most scholars construct an indicator system from a single concept of the green economy, LCE and CE from previous studies.The current LCCE development indicators are difficult to obtain.The existing index system rarely considers the environmental carrying capacity in the circular index.In addition, concerning the research object, the current research is mainly aimed at the national scale or the specific representative area, and there is less research on the provincial perspective.Also, there is a lack of empirical analysis from a regional perspective.
Therefore, different from previous research, this paper builds an evaluation index system with 30 indicators under six main subsystems: economic development, social progress, energy consumption, low carbon emissions, carbon sink capacity and environmental carrying capacity.Furthermore, the entropy weight-grey correlation evaluation method is used to measure the LCCE development level in Sichuan Province, China, from 2008 to 2018.The evaluation results allow for an analysis of the critical factors hindering LCCE development and the development of targeted policy recommendations for improving lowcarbon circular economic growth in the future.

Material and methods
3.1 The low-carbon circular economy evaluation index system 3.1.1Evaluation index system for regional low carbon circular economy.Based on LCE and CE concepts, a 30-evaluation indicator system is built that includes 6 subsystems: economic development, social progress, energy consumption, low-carbon emissions, carbon sink capacity and environmental carrying capacity.The specific indicator names and types are listed in Table 1: Based on the index structure, the evaluation index system model for the RLCCE development level is shown in Figure 2.
3.1.2Index system interpretation and the logical relationships.The quantitative, scientific and feasible evaluation index system measures the LCCE development level to guide regional assessments.In the following, the index system is explained based on the subsystem dynamics shown in Figure 3.
Economic development indicators.The economic development system has four indicators: per capita regional gross domestic product (GDP), regional GDP growth rate and secondary and tertiary industries' added value to provincial GDP.GDP per capita is one of the evaluation indicators from the human development index and directly reflects the regional economy's quality.The GDP growth rate reflects the local economic growth rate and development level, and the ratio of the output value of the secondary and tertiary industries to regional GDP reflects the local industrial structure.The secondary sector is dominated by the industry and construction sectors, which depend primarily on fossil fuel energy; therefore, it has high energy consumption and high polluting characteristics, restricting the LCCE development.
However, the tertiary industry has relatively low carbon emissions and resource use intensities; therefore, the higher the tertiary industry proportion, the more achievable the LCCE.Social progress indicators.In a CE, decoupling economic growth, resource use and environmental degradation are expected, simultaneously improving societal well-being (Geng et al., 2016).Tan et al., 2017;Hu et al., 2011) Regional GDP growth rate(X (Krajnc and Glavi c, 2005) The ratio of the added value of the secondary industry to regional GDP(X and Hu, 2012;Yang et al., 2019) The ratio of the added value of the tertiary industry to regional GDP(X et al., 2018;Tan and Lu, 2016) Urban resident disposable income(X Education expenditure as a proportion of regional GDP(X 10,000 hectares þ (Lou et al., 2019;Tan and Lu, 2016) Green coverage in built-up areas(X IJCCSM 14,1 investment as a percentage of regional GDP and education investment as a percentage of regional GDP.As the main activity centre in a region, cities and towns attract increasing populations.That is, the higher the urbanization rate, the stronger the social development ability.Resident disposable income plays a decisive role in their consumption levels and, therefore, characterizes the residents' living standards in a region.R&D investment signifies a region's investment in science and technology, and its scale and intensity can reflect a region's scientific and technological strength, which plays an essential role in promoting social development.Finally, the proportion of educational investment in a region's GDP indicates regional cultural, educational and social development. Energy consumption indicators.The reduction is the first principle of a CE.It requires improved management technology in the production process to reduce the material and energy entering the production and consumption process (Korhonen et al., 2018b).The energy consumption system has six indicators: total energy consumption, intensity, energy consumption elasticity coefficient, industrial energy consumption, building energy consumption and transportation energy consumption.The total energy consumption is the sum of all energy consumed in a region in a certain period and

RLCCE development evaluation index system
Low-carbon circular economy development directly reflects the energy consumption.Energy consumption intensity is the energy consumed per unit of GDP and reflects energy efficiency and economic structure changes.The elasticity energy consumption coefficient reflects the energy consumption growth rate and the regional GDP growth rate.Industry and construction are the major secondary industry energy-consuming industries, and transportation is the most energy-intensive tertiary industry.Carbon emissions index.Current global resource use, waste disposal and emissions led to critical climate change and environmental degradation (Velenturf et al., 2019).The carbon emissions system includes two leading indicators: total carbon emissions and carbon emissions intensity.The total carbon emissions directly characterize the regional carbon emissions level and are among the main reference indicators for carbon emissions reduction.Carbon emissions intensity is the CO 2 emissions generated per unit area of GDP and is a widely recognized indicator for low-carbon economic development.
Carbon sink capacity index.The construction of a LCE should reduce carbon emissions and maximize carbon sink capacity (Millward-Hopkins and Purnell, 2019).The carbon sink capacity system has five indicators: forest coverage, forest stock, afforestation area, green coverage in built-up and wetland areas.In 2017, the State Forestry Administration of China announced the "Provincial Forestry 2017-2018 Work Plan for Climate Change," which stated that there needed to be an increase in the carbon sink assessment indicators, such as forest carbon and stable wetland carbon sinks.Forests are the largest terrestrial carbon storage ecosystems and play significant roles as carbon sinks; therefore, forest coverage, afforestation areas and forest stock volumes are essential indicators for measuring carbon sink levels.The greening rate in built-up areas estimates the efforts to improve the living environment and enhance carbon sink capacity.Wetlands are also known as the "Kidneys of the Earth" and play an essential role in carbon sequestration; therefore, the wetland area is also an important indicator for measuring the carbon sink level.Environmental carrying capacity index.The environmental carrying capacity is an essential concept in ecological science, reflecting the interaction between the environment and humans (Zhang et al., 2019) 3.2 "Entropy weight-grey correlation" evaluation model 3.2.1 Entropy weight method.The entropy weight method, an objective weighting method that eliminates any subjective factors' influence, uses each evaluation object's index value to construct a judgment matrix, normalized and the index entropy weight for each index calculated.The final entropy value indicates the degree of system disorder, with the smaller the indicator information entropy, the greater the amount of information it provides and the more significant the role it plays in the evaluation (Delgado and Romero, 2016).
The specific entropy weight calculation steps are as follows: Construct an indicator judgement matrix.Assume that there are n measurement objects and m indicators and construct the matrix X = (X ij ) nÂm (i = 1,2,3, . .., n; j = 1,2,3, . .., m).Where X ij is the m-index n-year LCCE development level judgement matrix, that is, the value of the j-th index in the i-th year.
Normalize the data.The data normalization transforms each indicator into computable data of the same magnitude and dimension, making the evaluated object's quantitative calculation easier.Because of the different indicator natures, the indicators are divided into efficiency indicators and cost indicators, the specific calculation formulas for which are as follows: For the efficiency indicators, the larger the indicator value, the better.The normalized procedure for which is: For the cost indicators, the smaller the indicator value, the better.The normalized formula for which is: Calculate the entropy weight of the j-th index in the year i.Based on the definition, the entropy e j and the entropy weight w j are: Low-carbon circular economy development (3) where b ij is the proportion of the standardized value for the j-th indicator in the i-th year in the entire evaluation year series, e j is the entropy of the j-th indicator and w j is the entropy weight for the j-th indicator, with the constraint being 0#w j # 1 and X w j ¼ 1.
Calculate the system layer weight.
3.2.2Grey correlation method.The grey relational model assesses the consistencies between two systems and is therefore suitable for evaluating dynamic change processes.As each system in the model is a grey system with incomplete information and messy data characteristics, the grey correlation model can comprehensively assess the complete system information by analyzing and researching the "partly known poor information" within the grey system (Kuo et al., 2008).The LCCE's multiple subsystems: economic development, social progress, energy consumption, low-carbon emissions, carbon sink capacity and environmental carrying capacity: are subject to synergy and have internal interactive and uncertain relationships.Therefore, the relationships between the various systems are defined as grey relationships, for which a grey correlation model is used to measure the LCCE development level, as follows: Determine the analysis sequence.The reference data column is composed of the optimal value for each index and recorded as X Non-dimensional processing of the index data.After processing, the index data is combined with the analysis sequence to form the following matrix: IJCCSM 14,1 Calculate the difference sequence, maximum difference and minimum difference.
Calculate the absolute difference between the evaluated target index sequence and the reference sequence to form the following difference sequence matrix: where The maximum and minimum differences are the maximum and minimum numbers in the different sequence matrix: Calculate the correlation coefficient.
Determine the correlation coefficient matrix: In general, the resolution coefficient r in the formula takes a value in (0,1) depending on the formula's data (3-11).r is usually 0.5.Calculate the degree of association.
In the formula, W k is the weight of each index, k = 1,. ..,m。Low-carbon circular economy development

Empirical analysis 4.1 Data sources
To examine China's regional LCCE development, Sichuan Province is taken as an empirical case in this section.The original case study data were extracted from the Sichuan Statistical Yearbooks, the China Energy Statistical Yearbooks and the China Environmental Statistics Yearbooks from 2008 to 2019.The CO 2 emissions were calculated from IPCC energy-related data.The carbon emissions intensities were calculated by dividing the total carbon emissions by regional GDP.The energy consumption intensity was calculated by dividing the total energy consumption by the provincial GDP.The remainder of the data were obtained directly from the statistical yearbooks.

Index weight coefficient calculation
The original data were normalized using formulas (1) and ( 2), and then the entropy weights of the various indicators and system layers were calculated using procedures (3) to (6), the results for which are shown in Table 2.

Comprehensive index score
The weighted score table for the evaluation index, the system-level score for the evaluation targets, and the comprehensive score table were obtained using formulas ( 7) to ( 13) from the grey correlation order model shown in Tables 3 and 4.

Evaluation level calculation
The maximum reference score for each subsystem and the total evaluation value is based on the original data reference sequence, as shown in Table 5.
A four-level evaluation: A, B, C, D: was then determined based on maximum scores that were 90% and above, 75%-89%, 60%-74% and less than 60%, the evaluation rating table for which is shown in Table 6.

Subsystem scoring results and analysis
The measurement results for each regional low-carbon circular economic development subsystem in Sichuan Province are shown in Figure 4.
The measurement results for the LCCE development criterion in Sichuan Province are shown in Figure 5.

Low-carbon circular economy development
From the subsystem grade evaluation table (Table 6), the comprehensive Sichuan LCCE development grade table was developed as Table 7.
5.1.1Analysis of developmental evaluation results.Figure 5 shows that in addition to the slight fluctuations in 2013, the continuous growth in the social progress subsystem and the small economic development subsystem changes resulted in a steady rise in Sichuan's development.
Economic development subsystem.Figure 4 shows that the economic development system was volatile but increased in all 10 years from 0.064 in 2008 to 0.125 in 2018.
From 2008 to 2011, the government's vigorous promotion of Sichuan Province's development led to its economy's continued rise.However, from 2012 to 2015, economic growth was somewhat flat and slightly lower than the previous two years.
From 2016 to 2018, the economic expansion had an upward trend.Overall, the total financial volume rose, the regional GDP growth rate maintained a high-speed growth of about 8%, and the economic structure was transformed and upgraded.Social progress subsystem.Figure 4 indicates that the social subsystem score was steadily increasing, from 0.05 in 2008 to 0.136 in 2018, with the evaluation level increasing from "D" in 2008 to "C" in 2015 to "B" in 2017.
The 2008 score of the economic development subsystem was significantly lower than in the other years because of the global financial crisis and the impact of the 2008 Wenchuan earthquake.The main reason for the social progress subsystem increase was a result of the Chinese Government's stated goal that "urbanization was the only way to modernization" in 2012, with the urbanization rate in Sichuan increasing from 37.4% in 2008 to 52.3% in 2018, and greater attention was paid to environmental livability and improving the resident's sense of gain and their disposable incomes.Simultaneously, investment in science and technology and education gradually increased, resulting in a strong science and technology province.5.1.2Analysis of low carbon evaluation results.Under the combined influence of the energy consumption and low-carbon emissions subsystems, the low-carbon assessment results are shown in Figure 5.The low-carbon emissions subsystem results were relatively stable, and the low-carbon results were similar to the energy consumption trends.
Energy consumption subsystem.Figure 4 shows that the energy consumption system score went through three stages: decreasing from 0.151 in 2008 to 0.086 in 2012, increasing to a peak of 0.122 in 2015 and decreasing to 0.1 in 2018.The main reason for the 2008-2010 system downgrading from "B" to "D" was the eagerness to restore the economy after the earthquake, which meant that the total energy consumption in the industry, construction and transportation sectors rose substantially.The main reason for the 2014-2015 system upgrading from "D" to "C" was that the 18th National Congress emphasized green development, circular development and low-carbon development.However, in 2015, due to robust infrastructure construction in poverty-stricken areas to actively win the "fight against poverty," construction and transportation energy consumption rose, causing the system score to decline again.Low-carbon emissions subsystem.Figure 4 shows that the low-carbon emissions system was relatively stable.After a slight decline from 0.032 in 2008 to 0.024 in 2009, it rose to 0.042 in 2018.Due to an intensification in human activities and a continuous deterioration in the ecological environment, the total CO 2 emissions increased from 23.815 million tonnes in 2008 to 33.222 million tonnes in 2014.However, when Sichuan Province focused on polluting enterprises and publicized and encouraged low-carbon environmental protection, the CO 2 emissions fell to 28.619 million tonnes in 2017.Furthermore, after introducing the "Ecological Civilization" policy in 2007, the carbon emissions intensity decreased, from 1.89 in 2008 to 0.77 in 2017.Under the combined effect of the two indicators, the low-carbon emissions system was upgraded from "D" to "C" in 2017 to "B" in 2018.
Therefore, energy production and consumption transformations need to be continuously promoted to improve the low-carbon level.Specifically, the industrial energy usage in each link of the resource input-product processing-product output process needs to be assessed, and low-carbon cycle-related technologies implemented to improve resource utilization, Low-carbon circular economy development waste recycling and resource treatment rates.Construction technology innovation and optimization are needed, low-carbon recyclable building materials used and mechanical equipment energy consumption strictly controlled.Urban transportation route planning and functional area divisions need to be optimized and low-carbon transportation networks are built and promoted to reduce the energy consumption of the transportation sector.
In addition, traditional industrial structure transformation needs to be better promoted.High energy consumption, emissions and pollution in conventional industries should be strictly controlled (Chandio et al., 2021).Therefore, high-tech sectors should be encouraged, integrating high-tech sectors, such as artificial intelligence, blockchain, the Internet of Things, cloud computing and big data, with traditional sectors' accelerated informatization    Low-carbon circular economy development advanced cleaner production technologies to reduce hazardous waste generation at the source.Strict sewage discharge assessment systems are also required.Assessment indicators, such as annual forest volume, afforestation area, grassland degradation area, the number of fires in various regions are needed.A complete evaluation index system from planting to protection to destruction is assigned to protect and expand carbon sinks (Chandio et al., 2020).Besides, forestry science management, pest control, forestry construction technology and restoration technologies are needed to drive the technological innovations required to ensure healthy forestry development.

Comprehensive results and analysis
The comprehensive regional LCCE development in Sichuan Province is shown in Figure 6.
Based on the comprehensive results and the grade evaluation table (Table 6), the comprehensive LCCE development in Sichuan Province is shown in Table 8.
Figure 6 shows that from 2008 to 2018, Sichuan's overall LCCE development level decreased from 0.558 in 2008 to 0.48 in 2012 and then expanded to 0.725 in 2018.This was because the low-carbon and development levels continued to fall from 2008 to 2012, resulting in Sichuan's LCCE development reaching its lowest value in 2012.However, after 2012, Sichuan's comprehensive LCCE development level continued to rise steadily because of the combined effects of the low-carbon level fluctuations and the steady rise in the development and circular levels.
The analysis of each subsystem's evaluation results indicated that the main reason for the continuous decline in the overall score before 2012 was decreased energy consumption subsystem, the environmental carrying capacity subsystem and the carbon sink capacity subsystem.Specifically, the total energy consumption in the manufacturing, construction  and transportation sectors continued to increase (Shahbaz et al., 2013) and the total industrial solid waste utilization rate and the afforestation area continued to decrease.The comprehensive ranking in Table 8 shows that the LCE development in Sichuan reached a "C" for the first time in 2017, which was a direct result of the government's raising of the ecological crisis awareness and their "Opinions on Accelerating the Construction of Ecological Civilization" in 2015, which again stressed the need to adhere to the development of a LCCE.It also indicated that the relevant low-carbon circular policies positively affected environmental protection and economic development (Yu, 2014).Sichuan's economic development was still mainly dependent on the secondary industry before 2012.However, after the Chinese Government adopted the CE and LCE as a strategic transformation development mode in 2012, Sichuan Province's low-carbon economic development improved slightly until 2015, when it increased significantly.

Conclusions
In recent years, the adverse effects of global climate change on human production and life have become more and more prominent, and coping with climate change has become one of the most severe challenges facing human society.Climate change appears to be an environmental issue, but in essence, it is a development issue.Therefore, transforming the traditional economic development model to a circular, low-carbon sustainable economic development path has become inevitable.
Recent reviews about LCCE show that, despite the growing interest of researchers and practitioners towards the LC or CE paradigm, research about indicators and methodologies for measuring the development level of LCCE is still in its earliest phase, particularly on the regional level.This paper tries to fill this gap, proposing an evaluation index system with 30 indexes under six subsystems: economic development, social progress, energy consumption, low carbon emissions, carbon sink capacity and environmental carrying capacity.After which, the objectivity of the entropy weight method and the convenience of grey correlation have been combined in an entropy weight-grey correlation evaluation method, which is then used to evaluate LCCE development in Sichuan Province, China, from 2008 to 2018.
The results show that the LCCE development in Sichuan Province has shown a downward trend in 2008-2012 and a steady upward trend in 2012-2018.The comprehensive evaluation grade of LCCE development from 2008 to 2016 is "D," and from 2017 to 2018, it is "C."The main reason for the continuous decline in the overall score before 2012 is the decline in the scores of the energy consumption subsystem, the carbon sink capacity subsystem and the environmental carrying capacity subsystem.Specifically, the total energy consumption caused by energy consumption in industry, construction and transportation continues to rise; the comprehensive utilization rate of industrial solid waste continues to decrease, and the afforestation area continues to decline.After 2012, the development level of the LCCE showed a fluctuating upward trend.However, due to the large fluctuations in the low-carbon development level and the relatively low score of the development level, the overall level was only maintained at the "C" level.Therefore, it is necessary to improve the energy consumption policy system, conduct intense supervision and promote recycling-related technologies.Intensify efforts to transform traditional industrial structures and strictly control conventional industries with high energy consumption, high emissions and high pollution.Promote the development of high-tech industries, accelerate the integration of high-tech industries, such as artificial intelligence, blockchain, Internet of Things, cloud computing and big data with traditional industries and enhance the informatization capabilities of conventional industries.
Low-carbon circular economy development Figure 1.CO 2 emissions and growth rate in Mainland China from 1978 to 2018 Figure 2. RLCCE development evaluation index system Figure 3. System dynamic model Figure 4. Sichuan province low-carbon circular economic development system scores Figure 6.Comprehensive LCCE development

Million Tons) CO2 emissions growth rate
evaluate the low carbon development level of the world's 47 countries from five aspects: emission status, carbon source's control level, carbon capture capacity, human development index and urbanization level.Wang et al. (2019) evaluate the low-carbon development of coal enterprise groups from four aspects: low-carbon energy consumption, economical, resource utilization and low-carbon environment.Compared with low-carbon growth, circular development has a more precise definition.Related research mainly establishes an indicator system from the CE's basic principles, but different studies have different understandings of the category of circular development.The CE evaluation index system mainly includes resource output indicators, resource consumption indicators, comprehensive resource utilization indicators and waste discharge indicators and Yin, 2014)

Table 1 .
. The environmental carrying capacity system has eight indicators: investment in environmental pollution control, industrial wastewater discharge, industrial solid waste generation, sewage discharge, domestic waste removal volume, comprehensive industrial solid waste utilization rate, sewage treatment rate and the harmless domestic waste treatment rate.CE development is a specific measure to enhance the environmental carrying capacity, ecologically sustainable development and low-carbon development.Based on the Circular Economic Promotion Law requirements and other documents, the National Development and Reform Commission of China issued a Circular Economic Development Evaluation Index System in 2017.The indicators were resource consumption, waste discharge intensity, waste recycling rate and pollutant disposal rate.

Table 3 .
industries enhanced.Simultaneously, representative innovative low-carbon recycling industries must be established to realize a highly efficient low-carbon recycling industry chain.Thus, the transformation and upgrading of traditional industries, the development of high-tech industries and the rise of intelligent low-carbon industries can jointly promote a reduction in resource consumption and environmental pollution and ultimately achieve environmentally friendly, sustainable development that reduces production costs and increases output efficiencies.5.1.3Analysis of circular evaluation results.Figure5shows that under the combined effect of carbon sink capacity and the environmental carrying capacity subsystem's decline from 2008 to 2012, Sichuan Province's economic cycle assessment was the lowest in 2012.However, after 2012, the cyclical evaluation steadily increased because of the continuous improvements in carbon sink capacity and the environmental carrying capacity:Carbon sink capacity subsystem.Figure4shows that the carbon sink capacity system increased from 0.074 in 2008 to 0.185 in 2018.From 2012 to 2018, the wetlands increased from 961,700 to 1,744,800 hectares.The remaining indicators grew steadily or fluctuated within a relatively small range over the decade.From 2008 to 2018, the forest coverage rate increased from 30.79% to 38.03% and the forest stock volume also steadily increased.Therefore, the carbon sink capacity subsystem moved from a "D" in 2008 to an "A" in 2018, which indicated that the policy implementation had been effective.Environmental carrying capacity subsystem.Figure 4 shows that while the environmental carrying capacity system first decreased and then increased, the overall level decreased.As the industrial solid waste comprehensive utilization rate continued to decline, the environmental carrying capacity system dropped from 0.187 in 2008 to 0.124 in 2014.After the announcement of the CE Development Strategy and Immediate Action Plan by the State Council in 2013, the environmental carrying capacity subsystem improved to 0.138 in 2018.However, the environmental carrying capacity score since 2011 was at "D". capabilities

Table 7 .
System layer level table