Initial Water Rights Allocation in Yunnan Based on Whale Optimization Algorithm-Projection Pursuit Model
2017, 32 (11):
Based on the principles of equity, efficiency and sustainability, the water resources allocation index system of Yunnan Province was established based on 17 water allocation indexes, such as the initial water right of each city in Yunnan Province, using the Projection Pursuit (PP) allocation of water. Since the optimal projection direction of PP is difficult to be determined, a new swarm intelligence algorithm—Whale Optimization Algorithm (WOA) was used to optimize the projection direction of PP model, and an initial water rights allocation model of WOA-PP coupling was constructed. Culture algorithm (CA), Differential Evolution (DE) algorithm, Shuffled Frog Leaping Algorithm (SFLA), Cuckoo Search (CS) algorithm, Particle Swarm Optimization (PSO) algorithm and Artificial Bee colony (ABC) were used to simulate WOA by six typical test functions. The results show that WOA is able to explore different search spaces, whether it is a unimodal or a multimodal function, and it has good development and exploration ability. The searching accuracies of sphere and other six functions are all higher than those of CA, DE, SFLA, CS, PSO and ABC algorithm, showing better precision, convergence speed, global optimization ability and convergence stability. 2) By comparing the results of initial water rights allocation of WOA-PP model and current water allocation of comprehensive method, the allocation results of Zhaotong, Lijiang, Lincang, Honghe, Wenshan and Nujiang in 2015 had the least difference, the difference of allocation results of Yuxi, Pu'er, Dali, Dehong and Diqing were between 2.06×108-4.38×108 m3, and the allocation difference of other cities were between 1.12×108-1.61×108 m3. For the year of 2020, the allocation results of Baoshan, Zhaotong, Lijiang, Lincang, Honghe, Wenshan and Nujiang have the least difference, which are between 0.02×108-0.41×108 m3. The allocation results of Kunming, Yuxi and Dehong have the most difference, which are 5.89×108, 5.66×108 and 3.54×108 m3, respectively. The difference of distribution in other cities and counties is between 1.89×108 and 2.85×108 m3. The initial water rights allocation model and optimization method proposed in this paper are feasible and effective, which can provide new ideas and methods for regional initial water rights allocation.
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