| As the world’s largest energy consumer and the country with the highest carbon dioxide emissions,China is facing serious challenges of ecological civilization construction and carbon emission reduction in the future.In order to achieve the emission reduction targets of "carbon peak" by 2030 and "carbon neutral" by 2060,all provinces and cities need to attach great importance to energy conservation and environmental protection,improve and formulate more stringent carbon emission control policies,and strengthen the law enforcement of environmental protection laws and regulations.Also it can be said that the research and analysis among various provinces and cities and regions in our country involves the relevant economic indicators are particularly important for carbon emissions,this article from the carbon emissions,carbon emissions efficiency index change rate and carbon dioxide three indicators,the marginal cost of perfecting our country carbon emissions trading system,development of low carbon economy and provide theoretical support to achieve emission reduction,It can also serve as the scientific basis for government departments to formulate corresponding carbon emission reduction policies and emission reduction cost pricing.This paper based on the directional distance function,under the background of variable production scale return,Make use of the Data Envelopment Analysis,Common frontier method,Group-frontier method and Global Malmquist-Luenberger index method,Based on the inputoutput panel data of 30 provinces and 8 comprehensive economic zones in China,the carbon emission efficiency(TCE),technology gap ratio(TGR)and marginal carbon emission reduction cost(MAC)of Each province in China during 2009-2019 were empiricly estimated based on the first three methods.On this basis,the CARBON emission efficiency index(MLCPI)is calculated and decomposed by the G-M-L index method,Two influencing factors of technological efficiency change(TEC)and technological progress(TC)changeare obtained successively.The results show that :(1)carbon emission efficiency and technology gap ratio.From the perspective of provinces and cities,the mean TCE values of provinces ad cities under the common frontier are generally low with significant differences.Only Guangdong province is located at the optimal productivity boundary and achieves DEA effectiveness,while other provinces and cities have a large space for efficiency improvement.The mean value of the overall carbon emission efficiency of all provinces and cities under the group frontier is relatively high,indicating that the regional division of the eight comprehensive economic zones is reasonable and effective,and the heterogeneous interference is eliminated to some extent.From the regional perspective,meta TCE and TGR in the middle reaches of the Yellow River and northeast China are significantly lower than the regional average,while group TCE in the northern coastal area and southwest China are significantly lower than the mean of the economic zone,reflecting the relatively unreasonable resource allocation and industrial structure arrangement in the above regions.(2)Carbon emission efficiency index.The MLCPI of both common frontier and group frontier showed a significant upward trend,and the efficiency change index was greater than 1 in some years,indicating that the carbon emission efficiency was improved compared with previous years.Among them,the change of decomposition value technological progress(TC)is the key to promote the continuous increase of carbon emission efficiency,which is manifested in that the change direction of the two shows a relatively stable convergence,while the mean change of technical efficiency(TEC)is relatively stable,and the driving effect is not obvious.(3)Marginal cost of carbon emission reduction.From 2009 to 2019,the MAC of carbon dioxide in the evaluation unit showed a decentralized arrangement with differences,but its mean value showed a steady upward trend,and the marginal cost of carbon emission reduction from 2014 to 2019 was significantly higher than that from 2009 to 2013.The MAC of 18 provinces and cities was lower,which was corresponding to the low-carbon emission reduction target.On the other hand.The average marginal cost of carbon emission reduction in China is RMB 85,400 / ton,indicating that the economic cost to be forgone when reducing or reducing one unit of carbon dioxide emission is RMB8,540.To sum up,the policy implications of this paper are as follows: First,to strengthen regional cooperation and improve energy efficiency,we should give full play to the leading and radiating role of frontier provinces and cities and improve the level and level of regional cooperation.Second,we will build a green energy system.All provinces and cities should develop the application of new energy and improve the utilization rate of renewable energy and encourage the development of emerging industries.Third,guide green consumption,change the concept of low-carbon life,encourage economic entities to practice green and low-carbon production and life style,improve the reform of carbon trading market system,so as to reach the stage of "carbon peak" and achieve "carbon neutrality" as scheduled. |