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小麦茎秆抗倒性的数学模型研究
引用本文:叶三星,徐敏,黄芳芳,罗文强.小麦茎秆抗倒性的数学模型研究[J].数学的实践与认识,2012,42(15):66-75.
作者姓名:叶三星  徐敏  黄芳芳  罗文强
作者单位:1. 中国地质大学(武汉)信息工程学院,湖北武汉,430074
2. 中国地质大学(武汉)环境学院,湖北武汉,430074
3. 中国地质大学(武汉)数理学院,湖北武汉,430074
摘    要:利用多元统计分析和微分方程建立了小麦发育后期茎秆抗倒伏的数学模型.首先,对实验所得的数据进行了预处理,建立了倒伏指数的相关模型,并在给定穗重的条件下,模拟出理想的株型结构;然后,对小麦茎秆进行受力分析,建立小麦倒伏临界力的微分方程,算出腊熟期各品种小麦的抗倒伏风速;最后,对所建模型以及相关问题和结果进行总结分析,并结合实际提出小麦育种的一些建议.

关 键 词:多元统计分析  微分方程  倒伏指数

The Analysis on Lodging Resistance of High-quailty Wheat
YE San-xing , XU Min , HUANG Fang-fang , LUO Wen-qiang.The Analysis on Lodging Resistance of High-quailty Wheat[J].Mathematics in Practice and Theory,2012,42(15):66-75.
Authors:YE San-xing  XU Min  HUANG Fang-fang  LUO Wen-qiang
Institution:(School of Automation,Beijing Institute of Technology,Beijing 100081,China)
Abstract:Recently,high-quality wheat is one of crucial topics in the modern agriculture, and the harvest of high-quality wheat mainly results from lodging problem.To investigate the lodging of high-quaility wheat,this paper introduces three different mathematical models concerning the index of lodging resistence,and analyzes key factors on this index by correlation analysis and path analysis.To better design the structure of several typical wheats in 2008,particle swarm optimization is used to address this hard problem.Finally,we analyze and discuss the threshold loading of the wheat as well as the threshold wind speed.
Keywords:lodging resistence  high-quality wheat  particle swarm optimization  threshold wind speed
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