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Ecological Efficiency Based Ranking of Cities: A Combined DEA Cross-Efficiency and Shannon’s Entropy Method

机译:基于生态效率的城市排名:DEA交叉效率和香农熵方法的组合

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摘要

In this paper, a method is proposed to calculate a comprehensive index that calculates the ecological efficiency of a city by combining together the measurements provided by some Data Envelopment Analysis (DEA) cross-efficiency models using the Shannon’s entropy index. The DEA models include non-discretionary uncontrollable inputs, desirable and undesirable outputs. The method is implemented to compute the ecological efficiency of a sample of 116 Italian provincial capital cities in 2011 as a case study. Results emerging from the case study show that the proposed index has a good discrimination power and performs better than the ranking provided by the Sole24Ore, which is generally used in Italy to conduct benchmarking studies. While the sustainability index proposed by the Sole24Ore utilizes a set of subjective weights to aggregate individual indicators, the adoption of the DEA based method limits the subjectivity to the selection of the models. The ecological efficiency measurements generated by the implementation of the method for the Italian cities indicate that they perform very differently, and generally largest cities in terms of population size achieve a higher efficiency score.
机译:本文提出了一种方法,该方法通过将一些数据包络分析(DEA)交叉效率模型中使用Shannon熵指数提供的测量结果结合起来,来计算综合指数,从而计算城市的生态效率。 DEA模型包括非随意的,不可控制的输入,合意和不合意的输出。作为案例研究,该方法用于计算2011年意大利116个省会城市样本的生态效率。案例研究得出的结果表明,拟议的指数具有良好的歧视力,并且比Sole24Ore提供的排名更好,后者在意大利通常用于进行基准研究。尽管Sole24Ore提出的可持续性指数利用一组主观权重来汇总各个指标,但是采用基于DEA的方法限制了模型选择的主观性。通过对意大利城市实施该方法而产生的生态效率测量结果表明,它们的表现截然不同,就人口规模而言,最大的城市通常会获得更高的效率得分。

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