水循环算法-投影寻踪模型在水环境承载力评价中的应用——以文山州为例

Dynamic Assessment of Water Environmental Carrying Capacity of Wenshan Rrefecture Based on Water Cycle Algorithm-Projection Pursuit Model

利用4个典型测试函数对水循环算法(WCA)进行仿真验证,仿真结果与文化算法(CA)、布谷鸟搜索(CS)算法和粒子群优化(PSO)算法的仿真结果进行比较.从水资源、水污染、社会经济3个系统遴选12个指标构建区域水环境承载力评价指标体系,利用WCA优化PP模型最佳投影方向,提出WCA-PP水环境承载力动态评价模型,并构建CA-PP、CS-PP和PSO-PP模型作对比,以文山州2006~2015年水环境承载力动态评价为例进行实例验证.结果表明:无论是单峰还是多峰函数,WCA寻优精度与收敛稳定性均优于CA、CS和PSO算法,具有较好的收敛速度、求解精度和极值寻优能力;WCA优化PP模型获得的适应度值为1 248.202 6,均优于CA、CS和PSO算法.WCA-PP模型对实例2006~2011年水环境承载力评价为"基本可承载",2012~2015年评价为"可承载";水环境承载力随时间呈提升趋势,且提升趋势显著.WCA-PP模型对实例的评价及排序结果与CS-PP模型相同,与CA-PP模型在各年度排序上存在差异,与PSO-PP模型在评价及排序上均存在差异.实例验证了智能算法的优化性能决定了评价精度的高低.模型及验证方法具有实际应用价值,可为区域水环境承载力计算分析提供新的思路和方法.

Using four test functions on the water cycle algorithm（WCA）conducted simulation,the simulation results and Cultural algorithm（CA）,Cuckoo search（CS）algorithm and particle swarm optimization（PSO）algorithm simulation results are compared.From the water resources,water pollution,socioeconomic three systems selecting 12 indicators to build regional water environment carrying capacity evaluation index system,using PP WCA optimization model best projection direction.A WCA-PP water Environment carrying capacity assessment model is proposed.And then to build CA-PP,CS-PP and PSO-PP models for camparison,the dynamic evaluation of water environment carrying capacity in Wenshan Prefecture from 2006 to 2015 is taken for example.The results show that：either unimodal or multimodal function,WCA optimizing accuracy and convergence stability are better than CA,CS and PSO algorithms;it has better convergence speed,precision and extreme solving optimization ability.WCA optimization model fitness PP value obtained is 1248.2026;it is better than CA,CS and PSO algorithms.WCA-PP model for instance 2006 to 2011 water carrying capacity evaluation environment is ＂ basic carrying＂,2012 to 2015 is evaluated ＂ may carry＂;water environment carrying capacity with time,is to enhance and upgrad obviously.The results of the WCA-PP model are the same as those of the CS-PP model;compared with CA-PP mode,l it is different in every year;and there are differences in the evaluation and ranking compared to the PSO-PP model.The case studies demonstrate that the optimized performance evaluation of intelligent algorithm determines the level of accuracy.The model and validation method have practical value for regional water environment carrying capacity calculation and analysis so as to provide new ideas and methods.