中文摘要：

研究目标：中国服务业碳生产率变动的差异及收敛性。研究方法：采用SBM方向性距离函数和Global Malmquist—Luenberger（GML）指数，对2004-2013年中国服务业分行业的碳生产率进行测算，并对其进行收敛性检验。研究发现：中国服务业碳生产率整体呈增长趋势，技术进步是其增长的主要因素，技术效率并没有发挥出应有的提升服务业碳生产率的作用，利用效率的改善来提高服务业碳生产率增长还有很大的空间。此外，中国服务业碳生产率并没有呈现显著的σ收敛，而绝对β收敛和条件β收敛模型研究表明，中国服务业分行业间的碳生产率总体差异正在逐步缩小。研究创新：将碳生产率的测算及收敛性研究延伸到服务业领域。研究价值：有利于低碳经济背景下服务业碳生产率的提升和节能减碳目标的实现。

英文摘要：

Research Objectives： Study on the difference and convergence of carbon productivity in China＇s service industry. Research Methods： With the panel data of China＇s service industry during 2004 - 2013 as sample, this paper applies SBM directional distance function and Malmquist-Luenberger productivity index to measure carbon productivity. Then, we apply convergence theory to study the convergence of China＇s service carbon productivity change from the perspectives of industry disparity. Research Findings： The result shows that the carbon productivity of service industry shows growth trend on the whole and technology change is the main factor of the change, but technical efficiency does not play its due role to improve the service carbon productivity. There is still a lot technical efficiency can do to improve the carbon productivity growth of China＇s service industry. The convergence results indicate that the carbon productivity of Chinese service industry does not show significant σ convergence, but the model of absolute β convergence and conditional β convergence tells that overall industry disparity of carbon productivity is becoming narrow gradually. The service industries will tend to convergence their steady-state levels. Research Innovations： Extending the carbon productivity measurement and convergence studies to the service sector. Research Values： It＇s benefit to improve the car- bon productivity in service industry and achieve the goal of energy conservation and carbon reduction under the background of low-carbon economy development.