新型萤火虫算法-投影寻踪模型在区域人水和谐评价中的应用

为科学评价区域人水和谐状况,构建新型萤火虫算法(NFA)-投影寻踪(PP)评价模型。以文山州2006-2018年资料为例进行实例研究。选取8个典型测试函数对NFA进行仿真验证,并与教学优化(TLBO)等4种优化算法的仿真结果进行对比。从水资源、经济社会、生态环境3个方面遴选16个指标构建区域人水和谐度评价指标体系和分级标准,在各分级标准阈值间采用随机内插的方法生成样本构建人水和谐度评价投影目标函数,利用NFA优化求解该目标函数的最佳投影向量,构建NFA-PP模型对研究区2006-2018年人水和谐状况进行评价。结果表明:NFA寻优效果优于TLBO等4种算法,具有较好的寻优精度、极值寻优能力和全局搜索能力。NFA-PP模型对实例2006-2011年人水和谐度评价为"不和谐",2012-2016年评价为"基本和谐",2017-2018年评价为"较和谐"。2006-2018年文山州人水和谐度呈上升趋势,且上升趋势显著。

New firefly algorithm-projection pursuit model in regional human-water harmony evaluation

In order to scientifically evaluate the harmony of human and water,a new firefly algorithm(NFA)-projection pursuit(PP)evaluation model was constructed.The case study of Wenshan Prefecture in 2006-2018 was taken as an example.Eight typical test functions were selected to simulate the NFA,and compared with the simulation results of four optimization algorithms such as teaching leaming based optimization(TLBO).Sixteen indicators were selected from three aspects,namely water resources,economy&society and ecological environment,to construct regional human-water harmony evaluation index system and grading standards.Random interpolation method was used to generate sample construction human water harmony degree evaluation projection between each grading standard threshold.The objective function,obtained by using NFA to optimize the optimal projection vector,constructs the NFA-PP model to evaluate the annual human-water harmony in the study area.The results showed that the NFA optimization effect is better than that of the four algorithms such as TLBO in terms of better optimization precision,extreme value optimization ability and global search ability.The NFA-PP model evaluates the human-water harmony degree as"disharmonious"in 2006-2011,"almost harmonious"in 2012-2016,and"harmonious"in 2017-2018.In the past 13 years,the human-water harmony in Wenshan Prefecture has shown an upward trend,and the upward trend is remarkable.