Evaluation Of Water Resources Carrying Capacity In Jilin Province Based On Fuzzy Set Pair Analysis And Principal Component Analysi

Jilin Province is located in the northeast of China,including 9 prefecture level cities including Changchun,Siping,Jilin,Liaoyuan,Tonghua,Baishan,Songyuan,Baicheng,and Yanbian Prefecture.The evaluation index system for water resource carrying capacity in Jilin Province is composed of 11 indicators,including the water resource subsystem,ecological subsystem,and economic subsystem.The entropy weight method and AHP method are combined to calculate the weight of the indicators.Based on this,a fuzzy set pair analysis model is constructed,and the principal component analysis method is used to calculate the factor load matrix and absorb the influencing factors for each indicator,The calculation of principal component scores combined with weight calculation of principal component comprehensive scores has achieved the following main results:(1)Time series analysis was conducted on the subsystems.During the past 10 years,the water resource subsystem,ecological subsystem,and economic subsystem levels of 9prefecture level cities were relatively stable only in Changchun City,Jilin City,and Siping City,with relatively small fluctuations;The remaining six prefecture level cities have significant interannual changes in the levels of the three subsystems.(2)According to the confidence criterion method,the water resource carrying capacity levels of 9 prefecture level cities are determined.The value is evaluated using the level eigenvalue method to determine the optimal and worst years of water resource carrying capacity for each prefecture level city from 2008 to 2017,and the years that are in the same water resource carrying capacity level are sorted.(3)Use ArcGIS software to draw spatial distribution maps of water resource carrying capacity levels in 9 prefecture level cities in Jilin Province from 2008 to 2017,and analyze them from a natural and economic and social perspective based on the three parts of western,eastern,and central regions.(4)Using principal component analysis to extract factors that affect the water resource carrying capacity of various prefecture level cities in Jilin Province,analyze the types of each principal component influencing indicator separately.Calculate the scores of each principal component using their eigenvectors and eigenvalues,and combine their contribution rate to calculate the comprehensive scores of the principal components.Draw a trend chart of the changes in the comprehensive scores of the principal components.Through the calculation and trend analysis of the water resource carrying capacity level in Jilin Province in this article,the shortcomings of the previous set pair analysis method level standards will be overcome,and the classification will be fully combined with real data,comprehensively revealing the water resource carrying capacity situation in Jilin Province over the past 10 years.