Research on the coordinated development and convergence characteristics of China’s urban competitiveness and green total factor productivity

•Employ projection pursuit method for a thorough evaluation of China’s UC.•The CCD between UC and GTFP in China shows an increasing trend.•Northeast China’s UC and GTFP coordination fluctuates, reflecting divergence and convergence.•Government intervention plays a crucial role in UC and GTFP’s coordinated development. The coordinated development of urban competitiveness (UC) and green total factor productivity (GTFP) is paramount for achieving global sustainable development objectives, especially for regional sustainability in China. This study utilizes panel data from 2011 to 2019 encompassing 273 Chinese cities to evaluate the urban competitiveness index employing the projection pursuit method. The research categorizes Chinese cities into four regions—East, Central, West, and Northeast—for comparative analysis purposes. The findings unveil: (1) a discernible rise in both overall and regional coordination between urban competitiveness and green total factor productivity in China; (2) throughout the study period, except for fluctuations observed in Northeastern China, coordination in other regions sustained relative stability, manifesting a trend of divergence-convergence; (3) the coordination between urban competitiveness and green total factor productivity across all regions demonstrated β-convergence, with Central China exhibiting the swiftest convergence and Northeastern China the slowest; (4) taking into account factors such as government intervention, industrial structure, and human capital, there is a likelihood that the growth rate of coordination between urban competitiveness and green total factor productivity in diverse regions will converge towards a synergistic trend. Therefore, as Chinese cities strive to enhance competitiveness and green total factor productivity, governmental attention should be directed towards discerning the developmental trends and influencing factors affecting their coordination. Such an approach will facilitate the realization of regional sustainable development objectives while propelling the synchronized advancement of urban competitiveness and green total factor productivity.