Abstract

Under the concept of metafrontier, technology gap ratio is alternatively interpreted as potential energy efficiency. Combined with Malmquist index framework and Shephard energy distance function, we then develop a metafrontier Malmquist energy productivity index to analyze the total-factor energy productivity growth with four specific components: groupfrontier efficiency change index, groupfrontier technological change index, efficiency catch-up index and technological catch-up index. Methodologically, a newly developed two-step stochastic metafrontier analysis is applied to address the potentially biased estimation problems in the previous mixed approach. This analytical framework is used to evaluate the energy productivity growth of China’s 35 sub-industries in industrial sector from 2001 to 2015. The main empirical results show that: (1) In terms of cumulative metafrontier Malmquist energy productivity growth, China’s overall industry has witnessed a 25% growth and a U-shaped growing trend bottoming out in 2006; meanwhile, 19 sub-industries have suffered an energy productivity loss and the remaining 16 sub-industries have experienced an energy productivity gain. (2) From the technology heterogeneity perspective, light industry outperforms heavy industry in metafrontier Malmquist energy productivity growth, while the intra-group and inter-group energy productivity develops roughly in balance for overall industry. (3) The change of metafrontier Malmquist energy productivity is mainly driven by technological change components rather than efficiency change components. On average, groupfrontier technological change makes the biggest contribution to energy productivity growth, followed by technological catch-up, then efficiency catch-up, and groupfrontier efficiency change is last. (4) The metafrontier Malmquist energy productivity growth has shown a significant convergence in heavy industry and light industry, as well as overall industry.

Highlights

  • According to the Statistical Review of World Energy (BP, 2017) [1], China accounts for 23% of the total primary energy consumption in 2016, recording the world’s largest increment for the sixteenth consecutive year and remaining the world’s largest energy consumer since 2010

  • Integrating the metafrontier concept, Malmquist index framework and Shephard energy distance function introduced by Zhou et al [43], we develop a metafrontier Malmquist energy productivity index (MMEPI) and decompose it into four components, namely, groupfrontier efficiency change index (GECI), groupfrontier technological change index (GTCI), efficiency catch-up index (ECUI) and technological catch-up index (TCUI), the two latter of which compose the aforementioned technological gap change

  • The metafrontier framework highlights the technological heterogeneity among decision-making units (DMUs) which can be divided into different groups with homogeneous technology

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Summary

Introduction

According to the Statistical Review of World Energy (BP, 2017) [1], China accounts for 23% of the total primary energy consumption in 2016, recording the world’s largest increment for the sixteenth consecutive year and remaining the world’s largest energy consumer since 2010. Wang et al [17] went one step further than the aforementioned studies, which integrated Sato–Vartia index into Malmquist energy productivity index to study economy-wide energy productivity performance by considering sectoral heterogeneity This extended productivity index can be decomposed into three components, namely, energy consumption structure effect, efficiency change effect and technological change effect. Zhang and Ye [37] extended the parametric hyperbolic distance functions developed by Cuesta et al [38] and applied SFA to estimate energy and environmental efficiency of China’s 29 provinces from 1995 to 2010 They further decomposed the Malmquist total-factor environmental productivity into environmental efficiency change and environmental technological change.

Total-Factor Energy Efficiency under the Metafrontier Framework
Metafrontier Malmquist Energy Productivity Index
Model Specification and Estimation
Data and Industrial Heterogeneity
Estimation Results
Pooled a II Heavy a III Light a IV Metafrontier b lnk
H14 H15 H16 H17
Macro-Analysis
Sectoral-Analysis
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