Analysis of the spatiotemporal evolution characteristics of green total factor productivity measurement of China's sports industry

The HMB index method is used to measure the green total factor productivity of the sports industry in 31 provinces (municipalities and autonomous regions) in China from 2013 to 2022, and on this basis, the convergence and kernel density estimation of regional differences are carried out, and the Markov state transition analysis is further carried out. The results show that: (1) the green total factor productivity of China's sports industry shows a wave-like upward trend as a whole; The sports manufacturing industry has increased the control of pollution process, but the investment in pollution control in the sports service industry is low; The GTFPHM index in the eastern region is the highest, with an average annual growth rate of 3.3%, and most of the provinces (cities) in the region are environment-friendly, but the GTFPHM index in the central and western regions is less than 1, and there are few environment-friendly provinces (cities). (2) The highest contribution to the improvement of green total factor productivity of China's sports industry is pure technical efficiency, followed by range productivity and scale efficiency, and the technological progress index does not mention but decreases. However, unlike other regions, the eastern region has an average annual growth rate of 4.1% in the index of technological progress. (3) The differences in green total factor productivity of the sports industry in the four major regions of China generally showed a wave-like upward trend, and the differences mainly came from within the group, and the contribution between the groups was small. From the perspective of the contribution of each region to the total difference, the western and eastern regions contributed more to the total difference, but the contribution of the eastern region showed a wave-like downward trend, while the western region had a gradual upward trend, which was the main source of regional differences in the future. (4) There is a club effect in the transfer of green total factor productivity in the sports industry, and it is relatively difficult to transfer across levels. The higher the productivity level of the neighbors, the more conducive to the improvement of the productivity level of the low-level area. However, when neighboring with high-level areas, the phenomenon of good-neighboring and beggar-thy-neighbor coexists.