STUDY ON ENVIRONMENTAL EFFICIENCY OF ANHUI PROVINCE BASED ON SBM-DEA MODEL AND FRACTAL THEORY

Jia-Bao Liu and Bing-Yue Zhao
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Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, P. R. China
Bing-Yue Zhao: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-10

Abstract: Due to the increasing growth of economy in the last few years, environmental problems have become a prominent difficulty in Chinese economic growth and social development. Therefore, in order to respond to the environmental protection policy of Anhui Province, all prefecture-level cities need to be evaluated for their environmental efficiency. A study of environmental efficiency in Anhui Province is presented in this paper. The time period is from 2015 to 2020. By exploiting MaxDEA software, the input–output system in different years is taken as the decision-making unit, and slacks-based model (SBM-DEA) which is based on an unexpected output is used to construct the index system by selecting two output indexes and four input indexes, so as to calculate the environmental efficiency of Anhui Province, including 16 prefecture-level cities, under the condition of constant non-radial and non-angle scale benefits. In addition, based on the persistence and anti-persistence theory of fractal theory, in this paper, we have analyzed the future trend of environmental efficiency of prefecture-level cities in Anhui Province by rescaled range analysis (R/S). The results show that Anhui province has 16 prefectures that have not achieved an optimal level of environmental performance and fluctuates downward from 2015 to 2020. The average value of comprehensive efficiency is 0.846. As for technical efficiency, the mean value is 0.954, and scale efficiency has an average value of 0.887. The technical progress of environmental efficiency development in Anhui Province is small and the room for improvement is large. Finally, according to the results of the study, some suggestions on environmental technology are put forward.

Keywords: Environmental Efficiency; Fractal Theory; SBM-DEA Model; Rescaled Range Analysis (R/S) (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400728

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