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Sustainability 2016, 8(2), 124; doi:10.3390/su8020124

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

Department of Industrial Engineering, University of Naples Federico II, Piazzale V. Tecchio 80, Naples 80125, Italy
Academic Editor: Tan Yigitcanlar
Received: 9 October 2015 / Revised: 18 January 2016 / Accepted: 25 January 2016 / Published: 29 January 2016
(This article belongs to the Section Sustainable Urban and Rural Development)
View Full-Text   |   Download PDF [294 KB, uploaded 29 January 2016]

Abstract

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. View Full-Text
Keywords: cross-efficiency; data envelopment analysis; Shannon’s entropy; ecological efficiency; cities; ranking; Italy cross-efficiency; data envelopment analysis; Shannon’s entropy; ecological efficiency; cities; ranking; Italy
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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lo Storto, C. Ecological Efficiency Based Ranking of Cities: A Combined DEA Cross-Efficiency and Shannon’s Entropy Method. Sustainability 2016, 8, 124.

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