基于DEA的京津冀区域协同发展动态效度评价

采用数据包络分析（DEA）模型测度京津冀协同发展的动态效度，并分析导致三地协同度差异的原因。研究结果表明，京津冀地区协同发展效度并没有达到最优，但协同度总体效率越来越好；北京、天津的协同度大于河北；京津冀三地的投入要素使得产出最大化，但投入与产出比例没有达到最优。最后，依据京津冀协同效度和发展定位提出了相应的对策建议。

The Dynamic Validity Evaluation of Cooperative Development in Beijing Tianjin Hebei Based on DEA

Data Envelopment Analysis (DEA) is used in the paper to measure the validity of cooperative development in Beijing Tianjin Hebei and analyzes the reasons for the differences in the three areas. The research indicates the validity of cooperative development in Beijing Tianjin Hebei has not been achieved optimally, but overall efficiency of cooperative degree has been better and better. Cooperative degree between Beijing and Tianjin is greater than Hebei Province. Factor inputs from Beijing Tianjin Hebei contribute to maximum output but input and output ratio has not been achieved optimally. At last, based on the validity and orientation of cooperative development in Beijing Tianjin Hebei, the paper proposes corresponding suggestions.