基于博弈论组合赋权TOPSIS法的宁夏中部干旱带枸杞水肥综合评判  

Comprehensive evaluation of water and fertilizer for Lycium barbarum in central dry zone of Ningxia based on game theory combined weighting TOPSIS method

作　　者：杨震 尹娟[1,2,3] 孙富斌 马正虎 杨莹攀 韩雨禄 YANG Zhen;YIN Juan;SUN Fubin;MA Zhenghu;YANG Yingpan;HAN Yulu(College of Civil and Hydraulic Engineering,Ningxia University,Yinchuan,Ningxia 750021,China;Ministry of Education Engineering Center for Efficient Utilization of Agricultural Water Resources in Arid Regions,Yinchuan,Ningxia 750021,China;Ningxia Engineering Technology Research Center for Water-saving Irrigation and Water Resource Regulation,Yinchuan,Ningxia 750021,China)

机构地区：[1]宁夏大学土木与水利工程学院,宁夏银川750021 [2]旱区现代农业水资源高效利用教育部工程中心,宁夏银川750021 [3]宁夏节水灌溉与水资源调控工程技术研究中心,宁夏银川750021

出　　处：《排灌机械工程学报》2024年第10期1058-1065,共8页Journal of Drainage and Irrigation Machinery Engineering

基　　金：宁夏自然科学基金重点资助项目(2023AAC02022);宁夏大学一流学科项目(NXYLXK2021A03);宁夏大学大学生创新训练计划项目(202310749201)。

摘　　要：为探寻宁夏中部干旱带枸杞最优水肥组合,设置灌水和施肥二因素三水平共9个处理,分析不同水肥交互对枸杞生长、产量、果实品质多个指标的影响.引入层次分析法(analytic hie-rarchy process,AHP)和熵权法对3类因素10个指标进行多层赋权,运用博弈论的组合赋权法获得各单一指标最终权重,基于TOPSIS法构建枸杞生长评价体系,并以高产、优质、高效为目标建立枸杞水肥交互响应数学模型.结果表明,高水对枸杞生长、产量和品质的影响具有统计学意义(P<0.05),各生长指标最优处理均出现在高水处理,中肥和高肥对品质产量影响较大;综合协调各指标,赋权值最高为干重(0.2267),总糖次之(0.1352);多指标综合评价最优水肥处理为高水低肥(W3F1).解析枸杞生长对水肥耦合的响应模型,得到最适灌水和施肥区间分别为灌水量75%~110%ET 0、施肥量(N-P_(2)O_(5)-K_(2)O)为165.0-60.0-105.0 kg/hm^(2)~223.5-79.5-144.0 kg/hm^(2),在此区间利用回归模型Y=-0.0904+0.3706 X_(1)+0.0002 X_(2)2-0.0104 X_(1)X_(2)(综合评分Y、灌水量X_(1)、施肥量X_(2))确定有利于实现枸杞的优质高效生产的最优水肥组合.In order to find the optimal water and fertilizer combination for Lycium barbarum in the central dry zone of Ningxia,a total of nine treatments with two factors and three levels of irrigation and fertilization were used to analyze the effects of different water and fertilizer interactions on the growth,yield and fruit quality of Lycium barbarum.AHP hierarchical analysis and entropy weighting method were introduced to assign weights to 10 indicators of three categories of factors,and the final weights of each single indicator were obtained by using game theory combined weighting method.The results show that high water has a significant effect on the growth,yield,and quality of Lycium barbarum(P<0.05),the optimal treatments for each growth indicator are seen in the high water treatment while medium and high fertilizers have a greater effect on the quality and yield.The highest weight is assigned to the dry weight(0.2267)and the second highest to the total sugar(0.1352).The best irrigation and fertilizer application interval is obtained from the model of strawberry integrated growth response to water and fertilizer coupling,and the optimal irrigation and fertilizer application ranges are 75%-110%ET 0 for irrigation and 165.0-60.0-105.0 kg/hm^(2)-223.5-79.5-144.0 kg/hm^(2)for fertilizer(N-P_(2)O_(5)-K_(2)O),which is the most favorable to achieve high yield and high quality of Lycium barbarum.In this region,using the regression model Y=-0.0904+0.3706 X_(1)+0.0002 X_(2)2-0.0104 X_(1)X_(2)(combined score Y,irrigation volume X_(1),fertilizer application X_(2))to determine the optimal water and fertilizer combinations is conducive to the realization of high-quality and efficient production of Lycium barbarum.

关 键 词：枸杞 水肥交互 博弈论组合赋权 TOPSIS 综合评价 

分 类 号：S274.1[农业科学—农业水土工程] S567.19[农业科学—农业工程]