Abstract
Abstract This paper uses the Lotka-Volterra model to illustrate the synergistic relationship between urbanization and water resources utilization efficiency. Combined with a multi-choice goal programming model, the ideal cooperation coefficient between urbanization and water resources utilization efficiency in each provincial region was calculated under the condition of a coordination equilibrium. The results show that the urbanization level of China's provincial regions is uneven. The urbanization level of the eastern coastal developed areas is the highest, followed by the central area, and the western area is the lowest. Guangdong, Jiangsu, Zhejiang, Shanghai, Beijing and Shandong are at a high level of urbanization. The total factor productivity (tfp) of two-thirds of the provincial regions changed to be >1. During the observation period, water use efficiency of most provinces in China improved. The distribution characteristics of urbanization level and water resources utilization efficiency are not consistent. There is no mutually beneficial relationship between urbanization and water resources utilization in most provincial regions. In a few areas, there is a partial benefit cooperation relationship between them. There is a mutually beneficial relationship in a few regions but the level of coordination in the provincial Chinese mainland is relatively low, and needs to be improved.
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