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作物水分供应订正函数的韦伯函数型

A water supply function in form of Weibull distribution

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【作者】 蔡丽君张社奇

【Author】 CAI Li-jun, ZHANG She-qi(College of Life Science, Northwest Sci-Tech. University of Agriculture and Forestry, Yangling, Shaanxi 712100, China)

【机构】 西北农林科技大学生命科学学院西北农林科技大学生命科学学院 陕西杨陵712100陕西杨陵712100

【摘要】 从作物水分生产潜力、潜在水分利用效率与水分满足率的关系及特点入手,引入水分供应订正函数的韦伯形式.与目前常见的水分供应订正函数形式相比,本文给出的韦伯形式的水分供应订正函数具有临界水分满足率和 旋回 特征,能较好地解释作物水分生产潜力与水分满足率之间的数量关系,模型的实用性较广.模型中位置参数表示临界水分满足率;尺度参数表示水分满足率的取值范围;形状参数决定水分供应订正函数的 峰度 和 偏斜度 .根据 图解法 可求取水分供应订正函数的相关参数.其参数也具有明确的生物学和物理学意义,参数值本身也较稳定,使模型在应用中可望具有良好的稳定性.

【Abstract】 Based on the relationships among water potential productivity, water potential use efficiency and water supply condition, this presentation represents a new water supply function in the form of Weibull distribution. The function is of such sophisticated characteristics that can be used to model the relationship between crop-water supply modified function and water supplement and is wildly used in relevant studies. The function as well as its parameters are described and analyzed in detail. The position parameter, x0, represents the threshold of water supplement and the scale parameter, A, is depend upon the range of the value of water supplement. Moreover, the shape parameter, B, is also known as the slope, which determines the "kurtosis" and the "skew" of the curve described by the function. Different values of the parameters can have marked effects on the behavior of the distribution. It is suggest that one can obtain all parameters by using maximum likelihood method or by empirical study. These parameters are of obvious physical and biological meanings and hence, of better effect in practice.

【关键词】 水分利用效率韦伯分布模型
【Key words】 WUEWeibull distributionmodel
【基金】 国家自然科学基金资助项目(39670427 )
  • 【文献出处】 西北植物学报 ,Acta Botanica Boreali-occidentalia Sinica , 编辑部邮箱 ,2003年12期
  • 【分类号】S311
  • 【被引频次】1
  • 【下载频次】85
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