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基于高斯函数的春玉米叶片功能期模型构建与应用
引用本文:李姚姚,范盼盼,明博,王春霞,王克如,侯鹏,谢瑞芝,李少昆.基于高斯函数的春玉米叶片功能期模型构建与应用[J].作物学报,2019,45(8):1221-1229.
作者姓名:李姚姚  范盼盼  明博  王春霞  王克如  侯鹏  谢瑞芝  李少昆
作者单位:中国农业科学院作物科学研究所/农业部作物生理生态重点实验室
基金项目:This study was supported by the National Key Research and Development Program of China(2017YFD0300302);China Agriculture Research System(CARS-02-20);the Science and Technology Innovation Program of Chinese Academy of Agricultural Sciences
摘    要:叶片功能期是影响光合生产能力的关键因素,冠层叶片功能期的量化评估对玉米植株生长和产量形成具有重要意义。本研究于2015—2017年在中国农业科学院作物科学研究所吉林公主岭试验站进行,定株观测先玉335和郑单958两个品种各个叶位叶片展开时间和衰老时间,基于2015年和2016年试验数据,以高斯函数(y =a+b×e-(x-c)^2/2d^2)模拟玉米各叶位叶片功能期的动态变化,并用2017年数据验证,在此基础上进一步明确了模型特征参数的生理学意义,简化了叶片功能期模型构建的方法。研究条件下利用高斯函数构建的玉米叶片功能期模型年际间稳定性好、品种间区分度大。进一步解析利用一阶导(功能期最大值)、二阶导(功能期变化速率最大的点)、三阶导(功能期开始快速增大的点)等于零取整后的叶位并配合最顶部叶位(n)和基部第1叶这5个转折叶位叶片功能期构建的模型拟合度良好,极大地简化了该模型参数拟合的数据需求,并探讨了利用该模型函数对玉米叶片功能分组的可能性。本研究为玉米生产能力的量化分析提供了思路和方法,对各类玉米生长模型的完善和其他相关研究也有借鉴意义。

关 键 词:玉米  叶片功能期  高斯函数  生长模型
收稿时间:2018-12-11

Establishment and application of spring maize leaf longevity model based on Gaussian function
LI Yao-Yao,FAN Pan-Pan,MING Bo,WANG Chun-Xia,WANG Ke-Ru,HOU Peng,XIE Rui-Zhi,LI Shao-Kun.Establishment and application of spring maize leaf longevity model based on Gaussian function[J].Acta Agronomica Sinica,2019,45(8):1221-1229.
Authors:LI Yao-Yao  FAN Pan-Pan  MING Bo  WANG Chun-Xia  WANG Ke-Ru  HOU Peng  XIE Rui-Zhi  LI Shao-Kun
Institution:Institute of Crop Sciences, Chinese Academy of Agricultural Sciences/Key Laboratory of Crop Physiology and Ecology, Beijing 100081, China
Abstract:Leaf longevity is a key factor affecting photosynthetic productivity. The quantitative evaluation of canopy leaf longevity is of significance for maize plant growth and yield formation. The experiments were conducted in the experiment station of Institute of Crop Sciences, the Chinese Academy of Agricultural Sciences, Gongzhuling, Jilin province in 2015-2017. The dates of leaf expanded and senesced at each leaf position were recorded from fixed plants of Xianyu 335 and Zhengdan 958. The maize leaf longevity model was established based on Gaussian function ($y=a+b\times {{\text{e}}^{\frac{-{{\left( x-c \right)}^{2}}}{2{{d}^{2}}}}}$) with 2015 and 2016 test data, and validated with 2017 data. The physiological significance of model parameters was specified and the method developing leaf longevity model was simplified. The maize leaf longevity model constructed under the research conditions had good inter-annual stability and large differentiation ability across cultivars. By further analyzing, five turning points were definitely well fitted to establish this model, which greatly simplified the data requirements for developing this model and the possibility of using this model to group the maize leaves was discussed. The five turning points were these calculated by the first derivative (the point for maximum longevity), the second derivative (the point for the highest rate of longevity), and the third derivative (the point for longevity beginning to increase rapidly) equal to zero, also the topmost leaf position (n) and the bottom leaf position. This study provides ideas and methods for analyzing the maize leaf productive ability quantitatively, and the reference for improving various maize growth models and other related researches.
Keywords:maize  leaf longevity  Gaussian function  growth model  
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