Copula Approach to Multivariate Energy Efficiency Analysis


Sozen M., Cengiz M. A.

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, vol.39, no.06, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 06
  • Publication Date: 2022
  • Doi Number: 10.1142/s0217595921500421
  • Journal Name: ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Business Source Elite, Business Source Premier, zbMATH
  • Keywords: Copula, dependence analysis, network DEA, energy efficiency, DATA ENVELOPMENT ANALYSIS, NETWORK DEA, PERFORMANCE, MODELS, DECOMPOSITION, PRODUCTIVITY, BENCHMARKING, BUILDINGS, SECTOR
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Data envelopment analysis (DEA) is a method that finds the effectiveness of an existing system using a number of input and output variables. In this study, we obtained energy efficiencies of construction, industrial, power, and transportation sectors in OECD countries for 2011 using DEA. It is possible to achieve the efficiencies in different sectors. However, we aim to find joint energy efficiency scores for all sectors. One of the methods proposed in the literature to obtain joint efficiency is network data envelopment analysis (network DEA). Network DEA treats sectors as sub-processes and obtains system and process efficiencies through optimal weights. Alternatively, we used a novel copula-based approach to achieve common efficiency scores. In this approach, it is possible to demonstrate the dependency structure between the efficiency scores of similar qualities obtained with DEA by copula families. New efficiency scores are obtained with the help of joint probability distribution. Then, we obtained joint efficiency scores through the copula approach using these efficiency scores. Finally, we obtained the joint efficiency scores of the same sectors through network DEA. As a result, we compared network DEA with the copula approach and interpreted the efficiencies of each energy sector and joint efficiencies.