4. Conclusions
An index system of water environmental carrying capacity is established by carefully considering the perspectives of water environment carrying status, water resources carrying status, water environmental vulnerability and exploitation and utilization potential. Besides, quantification is carried out on the integrated indicators based on the catastrophe progression method. Then, the spatial distribution of 4 comprehensive factors representing WECC is analyzed. The obtained results through this investigation reveal that the carrying condition of water environment becomes increasingly better and the exploitation and utilization potential of WECC is decreasing gradually from the east to the west in China, which corresponds to the differences existing in the spatial distribution of the level of economic development. As far as the water resources carrying status is concerned, there are more overloading provinces in the north and less in the south, which is roughly the same as with the distribution of precipitation. In addition, water environmental vulnerability in the west is higher than that of central and eastern provinces due to different locations along the main rivers and also due to the spatial distribution of national nature reserves.
The k-means clustering method is applied to identify the similarities as well as different characteristics of WECC in the 31 provinces. The silhouette coefficient is introduced to measure the clustering quality and to determine the optimal zoning number. The observed results show that the average silhouette coefficient is the largest when k = 4, which represents the best clustering quality, i.e. the optimal clustering number is 4. Therefore, 31 provincial administrative regions are categorized into 4 areas, including key protected area, controlled development area, optimized development area and prioritized development area. Following this, suggestions on the corresponding bidirectional regulation to different sub-areas have been put forward to provide a scientific reference to the rational distribution of economic development and in assisting the management of water environment and regional sustainable development.