Water Resources Carrying Capacity Evaluation and Diagnosis Based on Set Pair Analysis and Improved the Entropy Weight Method

Abstract

To quantitatively evaluate and diagnose the carrying capacity of regional water resources under uncertain conditions, an index system and corresponding grade criteria were constructed from the perspective of carrying subsystem. Meanwhile, an improved entropy weight method was used to determine the objective weight of the index. Then, an evaluation model was built by applying set pair analysis, and a set pair potential based on subtraction was proposed to identify the carrying vulnerability factors. Finally, an empirical study was carried out in Anhui Province. The results showed that the consistency among objective weights of each index was considered, and the uncertainty between the index and grade criterion was reasonably dealt with. Furthermore, although the carrying situation in Anhui was severe, the development tended to be improved. The status in Southern Anhui was superior to that in the middle area, and that in the northern part was relatively grim. In addition, for Northern Anhui, the fewer water resources chiefly caused its long-term overloaded status. The improvement of capacity in the middle area was mainly hindered by its deficient ecological water consumption and limited water-saving irrigation area. Moreover, the long-term loadable condition in the southern part was due largely to its relatively abundant water resources and small population size. This evaluation and diagnosis method can be widely applied to carrying issues in other resources and environment fields.

Evaluation and Influencing Factors of Sustainable Development Capability of Agriculture in Countries along the Belt and Road Route

“…Besides, TOPSIS has been applied in green technology innovation [34] and the evaluation of green suppliers [35]. In addition, the entropy weight method has been used in PM2.5 prediction [36], environmental conflict analysis [37], and the investigation of the carrying capacity of regional water resources [38].…”

Quantitative Assessment and Diagnosis for Regional Agricultural Drought Resilience Based on Set Pair Analysis and Connection Entropy

“…Step 7: Diagnosing the vulnerability index of RADR. The set pair potential based on subtraction was proposed in regional water resources carrying capacity in 2017 [41]. According to the practical application of the diagnostic model of RADR, based on the triple set pair potential based on subtraction in reference, the quintile set pair potential based on subtraction S f (u) was presented:…”

“…The set pair potential based on subtraction S f (u) in the Huaibei Plain from 2005 to 2014 were calculated by Equation (25). The range of S f (u) was divided into five potential levels: They were inverse potential (−1.0 ≤ S f (u) < −0.6), partial inverse potential (−0.6 ≤ S f (u) < −0.2), symmetrical potential (−0.2 ≤ S f (u) ≤ 0.2), partial identical potential (0.2 < S f (u) ≤ 0.6), and identical potential (0.6 < S f (u) ≤ 1.0) [41].…”

Suitability evaluation of large‐scale farmland transfer on the Loess Plateau of Northern Shaanxi, China

“…Second, the objective weight value W j o was calculated using the entropy weighting method. Entropy weighting is an objective weighting method that calculates the weight of each indicator based on the information provided (Cui, Feng, Jin, & Liu, ; Ding, Chong, & Bao, ) and avoids the influence of subjective cognition. The weighting process was as follows.…”