Sports resources utilization efficiency, productivity change, and regional production technology heterogeneity in Chinese Provinces: DEA-SBM and Malmquist Index Approaches

The efficient allocation of sports resources for optimal outcomes remains a pressing national endeavour in China. Over the past two decades, substantial investments by provincial and national governments have been directed toward sports infrastructure development. This initiative aims to foster sports talent, facilitate excellence, host major sporting events, and enhance national pride and soft power. This study employs a comprehensive methodology encompassing Data Envelopment Analysis-Slack Based Measure (DEA-SBM), Meta Frontier Analysis, and Malmquist Productivity Index to assess Sports Resource Utilization Efficiency (SRUE), Technological Gap Ratio (TGR), and Productivity Growth (MI) across China’s 31 provinces and 3 distinct regions for the period 2010–2021. The findings indicate that China’s average SRUE stands at 0.6307, revealing an inefficiency of 36.93% in sports resource utilization. Noteworthy efficiency was observed in Beijing, Chongqing, Henan, Shaanxi, Shanghai, and Tianjin during the study duration. Furthermore, a consistent upward trajectory in SRUE from 2010 to 2021 highlights gradual and sustained progress. Comparatively, the eastern region showcases higher technological advancement (average TGR of 0.7598) than the central and western regions. The Malmquist Productivity Index (MI), with an average value of 1.05391, highlights a substantial 5.39% productivity growth. Notably, technological advancement emerges as the primary driver of this productivity increase, evident through the higher Total Factor Productivity Change (TC) of 1.0312 compared to the Efficiency Change (EC) of 1.0209. The Central region’s outperforming productivity growth is noteworthy relative to the Eastern and Western regions. Conclusively, the Kruskal-Wallis test confirms significant disparities in the average MI, EC, TC, and TGR among all three regions of China.