{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:57:32Z","timestamp":1773255452310,"version":"3.50.1"},"reference-count":66,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2021,4,10]],"date-time":"2021-04-10T00:00:00Z","timestamp":1618012800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,10]],"date-time":"2021-04-10T00:00:00Z","timestamp":1618012800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72071192"],"award-info":[{"award-number":["72071192"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71901178"],"award-info":[{"award-number":["71901178"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["71771126"],"award-info":[{"award-number":["71771126"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1007\/s10479-021-04062-8","type":"journal-article","created":{"date-parts":[[2021,4,10]],"date-time":"2021-04-10T09:03:23Z","timestamp":1618045403000},"page":"233-261","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":56,"title":["Provincial carbon emission performance analysis in China based on a Malmquist data envelopment analysis approach with fixed-sum undesirable outputs"],"prefix":"10.1007","volume":"304","author":[{"given":"Yongjun","family":"Li","sequence":"first","affiliation":[]},{"given":"Wenhui","family":"Hou","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1852-8877","authenticated-orcid":false,"given":"Weiwei","family":"Zhu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4387-423X","authenticated-orcid":false,"given":"Feng","family":"Li","sequence":"additional","affiliation":[]},{"given":"Liang","family":"Liang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,10]]},"reference":[{"key":"4062_CR1","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1016\/j.enpol.2017.01.004","volume":"102","author":"A Arcos-Vargas","year":"2017","unstructured":"Arcos-Vargas, A., N\u00fa\u00f1ez-Hern\u00e1ndez, F., & Villa-Caro, G. (2017). A DEA analysis of electricity distribution in Spain: An industrial policy recommendation. Energy Policy, 102, 583\u2013592.","journal-title":"Energy Policy"},{"issue":"2","key":"4062_CR2","doi-asserted-by":"publisher","first-page":"662","DOI":"10.1016\/j.ejor.2019.11.031","volume":"283","author":"Q An","year":"2020","unstructured":"An, Q., Wang, P., Emrouznejad, A., & Hu, J. (2020). Fixed cost allocation based on the principle of efficiency invariance in two-stage systems. European Journal of Operational Research, 283(2), 662\u2013675.","journal-title":"European Journal of Operational Research"},{"issue":"9","key":"4062_CR80","doi-asserted-by":"publisher","first-page":"1078","DOI":"10.1287\/mnsc.30.9.1078","volume":"30","author":"RD Banker","year":"1984","unstructured":"Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30(9), 1078\u20131092.","journal-title":"Management Science"},{"key":"4062_CR3","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1007\/s10479-015-2027-x","volume":"255","author":"Y Bian","year":"2017","unstructured":"Bian, Y., Lv, K., & Yu, A. (2017). China\u2019s regional energy and carbon dioxide emissions efficiency evaluation with the presence of recovery energy: An interval slacks-based measure approach. Annals of Operations Research, 255, 301\u2013321.","journal-title":"Annals of Operations Research"},{"issue":"6","key":"4062_CR4","doi-asserted-by":"publisher","first-page":"1393","DOI":"10.2307\/1913388","volume":"50","author":"DW Caves","year":"1982","unstructured":"Caves, D. W., Christensen, L. R., & Diewert, W. E. (1982). The economic theory of index numbers and the measurement of input, output, and productivity. Econometrica Journal of the Econometric Society, 50(6), 1393\u20131414.","journal-title":"Econometrica Journal of the Econometric Society"},{"key":"4062_CR5","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1002\/nav.3800090303","volume":"9","author":"A Charnes","year":"1962","unstructured":"Charnes, A., & Cooper, W. W. (1962). Programming with linear fractional functionals. Naval Research Logistics Quarterly, 9, 181\u2013186.","journal-title":"Naval Research Logistics Quarterly"},{"key":"4062_CR6","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1016\/0377-2217(78)90138-8","volume":"2","author":"A Charnes","year":"1978","unstructured":"Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429\u2013444.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR7","doi-asserted-by":"publisher","first-page":"1064","DOI":"10.1287\/opre.1120.1094","volume":"60","author":"C-M Chen","year":"2012","unstructured":"Chen, C.-M., & Delmas, M. A. (2012). Measuring eco-inefficiency: A new frontier approach. Operations Research, 60, 1064\u20131079.","journal-title":"Operations Research"},{"key":"4062_CR8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2020.10.024","author":"L Chen","year":"2020","unstructured":"Chen, L., Guo, M., Li, Y., Liang, L., & Salo, A. (2020). Efficiency intervals, rank intervals and dominance relations of decision-making units with fixed-sum outputs. European Journal of Operational Research. https:\/\/doi.org\/10.1016\/j.ejor.2020.10.024.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR9","doi-asserted-by":"publisher","first-page":"3686","DOI":"10.1080\/00207543.2019.1634294","volume":"58","author":"J Chu","year":"2020","unstructured":"Chu, J., Wu, J., Chu, C., & Liu, M. (2020). A new DEA common-weight multi-criteria decision-making approach for technology selection. International Journal of Production Research, 58, 3686\u20133700.","journal-title":"International Journal of Production Research"},{"key":"4062_CR10","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1006\/jema.1997.0146","volume":"51","author":"YH Chung","year":"1997","unstructured":"Chung, Y. H., F\u00e4re, R., & Grosskopf, S. (1997). Productivity and undesirable outputs: A directional distance function approach. Journal of Environmental Management, 51, 229\u2013240.","journal-title":"Journal of Environmental Management"},{"key":"4062_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-1-4419-6151-8","volume-title":"Data envelopment analysis: History, models, and interpretations","author":"WW Cooper","year":"2011","unstructured":"Cooper, W. W., Seiford, L. M., & Zhu, J. (2011). Data envelopment analysis: History, models, and interpretations. (pp. 1\u201339). Springer."},{"key":"4062_CR12","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1016\/j.omega.2013.05.007","volume":"42","author":"X Dai","year":"2014","unstructured":"Dai, X., & Kuosmanen, T. (2014). Best-practice benchmarking using clustering methods: Application to energy regulation. Omega, 42, 179\u2013188.","journal-title":"Omega"},{"key":"4062_CR13","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1057\/jors.2015.65","volume":"67","author":"L Fang","year":"2016","unstructured":"Fang, L. (2016). A new approach for achievement of the equilibrium efficient frontier with fixed-sum outputs. Journal of the Operational Research Society, 67, 412\u2013420.","journal-title":"Journal of the Operational Research Society"},{"key":"4062_CR14","doi-asserted-by":"publisher","first-page":"1070","DOI":"10.1111\/1467-8276.00510","volume":"85","author":"R F\u00e4re","year":"2003","unstructured":"F\u00e4re, R., & Grosskopf, S. (2003). Nonparametric productivity analysis with undesirable outputs: Comment. American Journal of Agricultural Economics, 85, 1070\u20131074.","journal-title":"American Journal of Agricultural Economics"},{"key":"4062_CR15","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1007\/BF00158770","volume":"3","author":"R F\u00e4re","year":"1992","unstructured":"F\u00e4re, R., Grosskopf, S., Lindgren, B., & Roos, P. (1992). Productivity changes in Swedish pharamacies 1980\u20131989: A non-parametric Malmquist approach. Journal of Productivity Analysis, 3, 85\u2013101.","journal-title":"Journal of Productivity Analysis"},{"issue":"1","key":"4062_CR16","doi-asserted-by":"publisher","first-page":"90","DOI":"10.2307\/1928055","volume":"71","author":"R F\u00e4re","year":"1989","unstructured":"F\u00e4re, R., Grosskopf, S., Lovell, C. K., & Pasurka, C. (1989). Multilateral productivity comparisons when some outputs are undesirable: A nonparametric approach. The Review of Economics and Statistics, 71(1), 90\u201398.","journal-title":"The Review of Economics and Statistics"},{"issue":"1","key":"4062_CR17","first-page":"66","volume":"84","author":"R F\u00e4re","year":"1994","unstructured":"F\u00e4re, R., Grosskopf, S., Norris, M., & Zhang, Z. (1994). Productivity growth, technical progress, and efficiency change in industrialized countries. The American Economic Review, 84(1), 66\u201383.","journal-title":"The American Economic Review"},{"key":"4062_CR18","doi-asserted-by":"publisher","first-page":"253","DOI":"10.2307\/2343100","volume":"120","author":"MJ Farrell","year":"1957","unstructured":"Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society Series A (General), 120, 253\u2013281.","journal-title":"Journal of the Royal Statistical Society Series A (General)"},{"key":"4062_CR19","doi-asserted-by":"publisher","first-page":"616","DOI":"10.1057\/palgrave.jors.2602384","volume":"59","author":"E Gomes","year":"2008","unstructured":"Gomes, E., & Lins, M. P. E. (2008). Modelling undesirable outputs with zero sum gains data envelopment analysis models. Journal of the Operational Research Society, 59, 616\u2013623.","journal-title":"Journal of the Operational Research Society"},{"key":"4062_CR20","doi-asserted-by":"publisher","first-page":"2352","DOI":"10.1016\/j.enpol.2011.01.055","volume":"39","author":"XD Guo","year":"2011","unstructured":"Guo, X. D., Zhu, L., Fan, Y., & Xie, B. C. (2011). Evaluation of potential reductions in carbon emissions in Chinese provinces based on environmental DEA. Energy Policy, 39, 2352\u20132360.","journal-title":"Energy Policy"},{"key":"4062_CR21","doi-asserted-by":"publisher","first-page":"605","DOI":"10.1111\/0002-9092.00181","volume":"83","author":"A Hailu","year":"2001","unstructured":"Hailu, A., & Veeman, T. S. (2001). Non-parametric productivity analysis with undesirable outputs: An application to the Canadian pulp and paper industry. American Journal of Agricultural Economics, 83, 605\u2013616.","journal-title":"American Journal of Agricultural Economics"},{"key":"4062_CR22","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/j.eap.2019.01.005","volume":"62","author":"G Halkos","year":"2019","unstructured":"Halkos, G., & Petrou, K. N. (2019). Treating undesirable outputs in DEA: A critical review. Economic Analysis and Policy, 62, 97\u2013104.","journal-title":"Economic Analysis and Policy"},{"key":"4062_CR23","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1016\/j.omega.2009.12.005","volume":"38","author":"C Kao","year":"2010","unstructured":"Kao, C. (2010). Malmquist productivity index based on common-weights DEA: The case of Taiwan forests after reorganization. Omega, 38, 484\u2013491.","journal-title":"Omega"},{"key":"4062_CR24","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/s10479-014-1708-1","volume":"226","author":"X Lei","year":"2015","unstructured":"Lei, X., Li, Y., Xie, Q., & Liang, L. (2015). Measuring Olympics achievements based on a parallel DEA approach. Annals of Operations Research, 226, 379\u2013396.","journal-title":"Annals of Operations Research"},{"issue":"8","key":"4062_CR25","doi-asserted-by":"publisher","first-page":"1259","DOI":"10.1080\/01605682.2019.1609892","volume":"71","author":"F Li","year":"2020","unstructured":"Li, F., Emrouznejad, A., Yang, G. L., & Li, Y. (2020). Carbon emission abatement quota allocation in Chinese manufacturing industries: An integrated cooperative game data envelopment analysis approach. Journal of the Operational Research Society, 71(8), 1259\u20131288.","journal-title":"Journal of the Operational Research Society"},{"key":"4062_CR26","doi-asserted-by":"publisher","DOI":"10.1080\/01605682.2020.1718561","author":"F Li","year":"2020","unstructured":"Li, F., Yan, Z., Zhu, Q., Yin, M., & Kou, G. (2020). Allocating a fixed cost across decision making units with explicitly considering efficiency rankings. Journal of the Operational Research Society. https:\/\/doi.org\/10.1080\/01605682.2020.1718561.","journal-title":"Journal of the Operational Research Society"},{"issue":"1\u20132","key":"4062_CR27","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1007\/s10479-018-2819-x","volume":"274","author":"F Li","year":"2019","unstructured":"Li, F., Zhu, Q., & Liang, L. (2019). A new data envelopment analysis based approach for fixed cost allocation. Annals of Operations Research, 274(1\u20132), 347\u2013372.","journal-title":"Annals of Operations Research"},{"key":"4062_CR28","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1016\/j.enpol.2016.10.036","volume":"101","author":"J Li","year":"2017","unstructured":"Li, J., & Lin, B. (2017). Does energy and CO2 emissions performance of China benefit from regional integration? Energy Policy, 101, 366\u2013378.","journal-title":"Energy Policy"},{"issue":"4","key":"4062_CR29","doi-asserted-by":"crossref","first-page":"e12334","DOI":"10.1111\/exsy.12334","volume":"37","author":"X Li","year":"2020","unstructured":"Li, X., Li, F., Zhao, N., & Zhu, Q. (2020). Measuring environmental sustainability performance of freight transportation seaports in China: A data envelopment analysis approach based on the closest targets. Expert Systems, 37(4), e12334.","journal-title":"Expert Systems"},{"issue":"1\u20132","key":"4062_CR30","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1007\/s10479-018-2860-9","volume":"274","author":"Y Li","year":"2019","unstructured":"Li, Y., Li, F., Emrouznejad, A., Liang, L., & Xie, Q. (2019). Allocating the fixed cost: An approach based on data envelopment analysis and cooperative game. Annals of Operations Research, 274(1\u20132), 373\u2013394.","journal-title":"Annals of Operations Research"},{"key":"4062_CR31","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2020.102342","author":"Y Li","year":"2020","unstructured":"Li, Y., Liu, J., Ang, S., & Yang, F. (2020). Performance evaluation of two-stage network structures with fixed-sum outputs: An application to the 2018 winter Olympic Games. Omega. https:\/\/doi.org\/10.1016\/j.omega.2020.102342.","journal-title":"Omega"},{"key":"4062_CR32","doi-asserted-by":"publisher","first-page":"102123","DOI":"10.1016\/j.omega.2019.102123","volume":"98","author":"Y Li","year":"2021","unstructured":"Li, Y., Wang, L., & Li, F. (2021). A data-driven prediction approach for sports team performance and its application to National Basketball Association. Omega, 98, 102123.","journal-title":"Omega"},{"key":"4062_CR33","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1016\/S0377-2217(02)00687-2","volume":"148","author":"MPE Lins","year":"2003","unstructured":"Lins, M. P. E., Gomes, E. G., de Mello, J. C. C. S., & de Mello, A. J. R. S. (2003). Olympic ranking based on a zero sum gains DEA model. European Journal of Operational Research, 148, 312\u2013322.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR34","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1007\/s10479-015-1933-2","volume":"255","author":"S Lozano","year":"2017","unstructured":"Lozano, S. (2017). Technical and environmental efficiency of a two-stage production and abatement system. Annals of Operations Research, 255, 199\u2013219.","journal-title":"Annals of Operations Research"},{"key":"4062_CR35","doi-asserted-by":"publisher","first-page":"7566","DOI":"10.1080\/00207543.2017.1391418","volume":"55","author":"S Lozano","year":"2017","unstructured":"Lozano, S., Villa, G., & Egu\u00eda, I. (2017). Data envelopment analysis with multiple modes of functioning. Application to reconfigurable manufacturing systems. International Journal of Production Research, 55, 7566\u20137583.","journal-title":"International Journal of Production Research"},{"key":"4062_CR36","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1007\/BF03006863","volume":"4","author":"S Malmquist","year":"1953","unstructured":"Malmquist, S. (1953). Index numbers and indifference surfaces. Trabajos de Estadistica y de Investigacion Operativa, 4, 209\u2013242.","journal-title":"Trabajos de Estadistica y de Investigacion Operativa"},{"key":"4062_CR37","doi-asserted-by":"publisher","first-page":"4144","DOI":"10.1016\/j.jclepro.2015.07.035","volume":"112","author":"Z Miao","year":"2016","unstructured":"Miao, Z., Geng, Y., & Sheng, J. C. (2016). Efficient allocation of CO2 emissions in China: A zero sum gains data envelopment model. Journal of Cleaner Production, 112, 4144\u20134150.","journal-title":"Journal of Cleaner Production"},{"key":"4062_CR38","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1016\/j.econlet.2005.02.013","volume":"88","author":"JT Pastor","year":"2005","unstructured":"Pastor, J. T., & Lovell, C. K. (2005). A global Malmquist productivity index. Economics Letters, 88, 266\u2013271.","journal-title":"Economics Letters"},{"key":"4062_CR39","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/0304-4076(90)90045-U","volume":"46","author":"LM Seiford","year":"1990","unstructured":"Seiford, L. M., & Thrall, R. M. (1990). Recent developments in DEA: The mathematical programming approach to frontier analysis. Journal of Econometrics, 46, 7\u201338.","journal-title":"Journal of Econometrics"},{"key":"4062_CR40","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/S0377-2217(01)00293-4","volume":"142","author":"LM Seiford","year":"2002","unstructured":"Seiford, L. M., & Zhu, J. (2002). Modeling undesirable factors in efficiency evaluation. European Journal of Operational Research, 142, 16\u201320.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR41","doi-asserted-by":"publisher","first-page":"5902","DOI":"10.1016\/j.enpol.2010.05.044","volume":"38","author":"T Sueyoshi","year":"2010","unstructured":"Sueyoshi, T., & Goto, M. (2010). Should the US clean air act include CO2 emission control?: Examination by data envelopment analysis. Energy Policy, 38, 5902\u20135911.","journal-title":"Energy Policy"},{"key":"4062_CR42","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/j.eneco.2010.07.008","volume":"33","author":"T Sueyoshi","year":"2011","unstructured":"Sueyoshi, T., & Goto, M. (2011). DEA approach for unified efficiency measurement: Assessment of Japanese fossil fuel power generation. Energy Economics, 33, 292\u2013303.","journal-title":"Energy Economics"},{"key":"4062_CR43","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1016\/j.enpol.2015.10.007","volume":"88","author":"S Suzuki","year":"2016","unstructured":"Suzuki, S., & Nijkamp, P. (2016). An evaluation of energy-environment-economic efficiency for EU, APEC and ASEAN countries: Design of a target-oriented DFM model with fixed factors in data envelopment analysis. Energy Policy, 88, 100\u2013112.","journal-title":"Energy Policy"},{"key":"4062_CR44","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1007\/s10479-019-03173-7","volume":"284","author":"M Tavana","year":"2020","unstructured":"Tavana, M., Khalili-Damghani, K., Santos Arteaga, F. J., & Hashemi, A. (2020). A Malmquist productivity index for network production systems in the energy sector. Annals of Operations Research, 284, 415\u2013445.","journal-title":"Annals of Operations Research"},{"key":"4062_CR45","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1016\/j.resourpol.2019.01.001","volume":"60","author":"K Wang","year":"2019","unstructured":"Wang, K., Wu, M., Sun, Y., Shi, X., Sun, A., & Zhang, P. (2019). Resource abundance, industrial structure, and regional carbon emissions efficiency in China. Resources Policy, 60, 203\u2013214.","journal-title":"Resources Policy"},{"key":"4062_CR46","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1016\/j.enpol.2012.11.030","volume":"54","author":"K Wang","year":"2013","unstructured":"Wang, K., Zhang, X., Wei, Y. M., & Yu, S. W. (2013). Regional allocation of CO2 emissions allowance over provinces in China by 2020. Energy Policy, 54, 214\u2013229.","journal-title":"Energy Policy"},{"key":"4062_CR47","doi-asserted-by":"publisher","first-page":"2760","DOI":"10.1016\/j.mcm.2011.06.064","volume":"54","author":"YM Wang","year":"2011","unstructured":"Wang, Y. M., & Lan, Y. X. (2011). Measuring Malmquist productivity index: A new approach based on double frontiers data envelopment analysis. Mathematical and Computer Modelling, 54, 2760\u20132771.","journal-title":"Mathematical and Computer Modelling"},{"key":"4062_CR48","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.enpol.2012.05.035","volume":"49","author":"F Wu","year":"2012","unstructured":"Wu, F., Fan, L., Zhou, P., & Zhou, D. (2012). Industrial energy efficiency with CO2 emissions in China: A nonparametric analysis. Energy Policy, 49, 164\u2013172.","journal-title":"Energy Policy"},{"key":"4062_CR49","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1016\/j.jclepro.2014.03.054","volume":"74","author":"J Wu","year":"2014","unstructured":"Wu, J., An, Q., Yao, X., & Wang, B. (2014). Environmental efficiency evaluation of industry in China based on a new fixed sum undesirable output data envelopment analysis. Journal of Cleaner Production, 74, 96\u2013104.","journal-title":"Journal of Cleaner Production"},{"issue":"2","key":"4062_CR50","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1007\/s10479-018-2958-0","volume":"275","author":"J Wu","year":"2019","unstructured":"Wu, J., Xia, P., Zhu, Q., & Chu, J. (2019). Measuring environmental efficiency of thermoelectric power plants: a common equilibrium efficient frontier DEA approach with fixed-sum undesirable output. Annals of Operations Research, 275(2), 731\u2013749.","journal-title":"Annals of Operations Research"},{"key":"4062_CR51","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1016\/j.enpol.2019.05.024","volume":"132","author":"Q Xie","year":"2019","unstructured":"Xie, Q., Hu, P., Jiang, A., & Li, Y. (2019). Carbon emissions allocation based on satisfaction perspective and data envelopment analysis. Energy Policy, 132, 254\u2013264.","journal-title":"Energy Policy"},{"key":"4062_CR52","doi-asserted-by":"publisher","first-page":"560","DOI":"10.1016\/j.ejor.2011.02.029","volume":"212","author":"F Yang","year":"2011","unstructured":"Yang, F., Wu, D. D., Liang, L., & O\u2019Neill, L. (2011). Competition strategy and efficiency evaluation for decision making units with fixed-sum outputs. European Journal of Operational Research, 212, 560\u2013569.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR53","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1016\/j.ejor.2014.05.013","volume":"239","author":"M Yang","year":"2014","unstructured":"Yang, M., Li, Y., Chen, Y., & Liang, L. (2014). An equilibrium efficiency frontier data envelopment analysis approach for evaluating decision-making units with fixed-sum outputs. European Journal of Operational Research, 239, 479\u2013489.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR54","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/j.ejor.2015.04.023","volume":"246","author":"M Yang","year":"2015","unstructured":"Yang, M., Li, Y. J., & Liang, L. (2015). A generalized equilibrium efficient frontier data envelopment analysis approach for evaluating DMUs with fixed-sum outputs. European Journal of Operational Research, 246, 209\u2013217.","journal-title":"European Journal of Operational Research"},{"key":"4062_CR55","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1016\/j.enpol.2013.11.025","volume":"66","author":"S Yu","year":"2014","unstructured":"Yu, S., Wei, Y. M., & Wang, K. (2014). Provincial allocation of carbon emission reduction targets in China: An approach based on improved fuzzy cluster and Shapley value decomposition. Energy Policy, 66, 630\u2013644.","journal-title":"Energy Policy"},{"key":"4062_CR56","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1016\/j.jclepro.2015.06.111","volume":"163","author":"J Zhang","year":"2017","unstructured":"Zhang, J., Zeng, W., Wang, J., Yang, F., & Jiang, H. (2017). Regional low-carbon economy efficiency in China: Analysis based on the Super-SBM model with CO2 emissions. Journal of Cleaner Production, 163, 202\u2013211.","journal-title":"Journal of Cleaner Production"},{"key":"4062_CR57","doi-asserted-by":"publisher","first-page":"1255","DOI":"10.1016\/j.rser.2014.09.021","volume":"41","author":"YJ Zhang","year":"2015","unstructured":"Zhang, Y. J., & Da, Y. B. (2015). The decomposition of energy-related carbon emission and its decoupling with economic growth in China. Renewable and Sustainable Energy Reviews, 41, 1255\u20131266.","journal-title":"Renewable and Sustainable Energy Reviews"},{"key":"4062_CR58","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/s10479-016-2232-2","volume":"255","author":"Y Zhang","year":"2017","unstructured":"Zhang, Y., & Hao, J. (2017). Carbon emission quota allocation among China\u2019s industrial sectors based on the equity and efficiency principles. Annals of Operations Research, 255, 117\u2013140.","journal-title":"Annals of Operations Research"},{"key":"4062_CR59","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/j.enpol.2017.12.056","volume":"115","author":"YJ Zhang","year":"2018","unstructured":"Zhang, Y. J., Sun, Y. F., & Huang, J. (2018). Energy efficiency, carbon emission performance, and technology gaps: Evidence from CDM project investment. Energy Policy, 115, 119\u2013130.","journal-title":"Energy Policy"},{"key":"4062_CR60","doi-asserted-by":"publisher","first-page":"454","DOI":"10.1016\/j.enpol.2014.08.006","volume":"74","author":"YJ Zhang","year":"2014","unstructured":"Zhang, Y. J., Wang, A. D., & Da, Y. B. (2014). Regional allocation of carbon emission quotas in China: Evidence from the Shapley value method. Energy Policy, 74, 454\u2013464.","journal-title":"Energy Policy"},{"key":"4062_CR61","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1016\/j.eneco.2009.10.003","volume":"32","author":"P Zhou","year":"2010","unstructured":"Zhou, P., Ang, B., & Han, J. (2010). Total factor carbon emission performance: A Malmquist index analysis. Energy Economics, 32, 194\u2013201.","journal-title":"Energy Economics"},{"key":"4062_CR62","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.eneco.2014.06.019","volume":"45","author":"P Zhou","year":"2014","unstructured":"Zhou, P., Sun, Z., & Zhou, D. (2014). Optimal path for controlling CO2 emissions in China: a perspective of efficiency analysis. Energy Economics, 45, 99\u2013110.","journal-title":"Energy Economics"},{"key":"4062_CR91","doi-asserted-by":"crossref","unstructured":"Zhu, Q., Li, X., Li, F., Wu, J., & Sun, J. (2021). Analyzing the sustainability of China\u2019s industrial sectors: A data-driven approach with total energy consumption constraint. Ecological Indicators, 122, 107235.","DOI":"10.1016\/j.ecolind.2020.107235"},{"key":"4062_CR63","doi-asserted-by":"publisher","first-page":"104817","DOI":"10.1016\/j.eneco.2020.104817","volume":"89","author":"Q Zhu","year":"2020","unstructured":"Zhu, Q., Li, X., Li, F., Wu, J., & Zhou, D. (2020). Energy and environmental efficiency of China\u2019s transportation sectors under the constraints of energy consumption and environmental pollutions. Energy Economics, 89, 104817.","journal-title":"Energy Economics"},{"key":"4062_CR64","doi-asserted-by":"publisher","first-page":"1483","DOI":"10.1057\/s41274-017-0181-z","volume":"68","author":"Q Zhu","year":"2017","unstructured":"Zhu, Q., Wu, J., Song, M., & Liang, L. (2017). A unique equilibrium efficient frontier with fixed-sum outputs in data envelopment analysis. Journal of the Operational Research Society, 68, 1483\u20131490.","journal-title":"Journal of the Operational Research Society"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-021-04062-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-021-04062-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-021-04062-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,1]],"date-time":"2023-11-01T22:50:29Z","timestamp":1698879029000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-021-04062-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,10]]},"references-count":66,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["4062"],"URL":"https:\/\/doi.org\/10.1007\/s10479-021-04062-8","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,10]]},"assertion":[{"value":"24 March 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 April 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}