利用Free Search算法推求作物水分响应Jensen模型参数  

Estimation for parameters of Jensen model using free search algorithm

作　　者：朱伟峰 王斌 姜宁[3] ZHU Weifeng;WANG Bin;JIANG Ning(Water Conservancy Management Center of Heilongjiang Province,Harbin 150040,China;College of Water Conservancy and Civil Engineering,Northeast Agricultural University,Harbin 150030,China;College of Water Conservancy and Power,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江省农田水利管理中心,哈尔滨150040 [2]东北农业大学水利与土木工程学院,哈尔滨150030 [3]黑龙江大学水利电力学院,哈尔滨150080

出　　处：《南水北调与水利科技》2018年第6期142-147,共6页South-to-North Water Transfers and Water Science & Technology

基　　金：国家重点研发计划(2016YFC0400101);国家自然科学基金(51009026);农业部农业水资源高效利用重点实验室开放课题(2015002)~~

摘　　要：依据最小二乘法原理推求作物水分响应模型参数时可能存在参数不合理、模型模拟精度尚可提升、试验处理少而难于估计模型参数等问题。针对这些问题,以Jensen模型参数推求为例,引入自由搜索(Free Search,FS)算法率定作物水分响应模型参数,将FS单个动物每步探查行走的位置向量作为参数的一组潜在解,利用FS算法的动物群体迁移行为推求一组最优参数,从而改善作物水分响应模型的适用性。三个实例研究结果表明:FS算法概念清晰,操作便捷,可以直接率定作物水分响应模型参数,不需转换作物水分响应模型的数学形式,能够有效避免参数出现负值或大于1等不合理现象,并提升作物水分响应模型的模拟精度;当难于采用线性回归方法时,可以考虑利用FS算法推求作物水分响应模型参数。Using the least square method to estimate the parameters of the model of crop response to water(MCRW)may present some problems such as unreasonable parameters,unsatisfying simulation accuracy,and inestimable parameter due to insufficient irrigation experimental treatments.To solve these problems,Free Search(FS)was used to estimate the parameters of Jensen model in this paper.The position vector of each exploratory step of the individual animal of FS was taken as a set of potential solutions of the parameter,and a set of optimal parameters was estimated based on the animal group migration of the FS algorithm.Three case studies showed that the FS algorithm can calibrate directly the parameters of Jensen model without converting the model.FS can also effectively avoid unreasonable phenomenon such as a negative parameter or a parameter greater than 1,and improve the simulation accuracy of the Jensen model.When it is difficult to adopt the linear regression method,FS algorithm can be used to estimate the parameters of MCRW.

关 键 词：作物水分生产函数 作物水分响应模型 残差平方和 参数估计 自由搜索 

分 类 号：S274.1[农业科学—农业水土工程]