WeibuⅡ作物损失模型的差分法拟合

Pennypacker(1980)、Madden(1981)等学者将韦布尔(Weibull)曲线y(x)=1-exp{-((x-a)/b)~c}(x>a,b>0,c>0)用以描述植病进展和植病导致产量损失的非线性回归关系,其生物学意义和适应性引起人们注意。但是如何利用一组实验数据来拟合该模型,一直没有一个简便易行的方法。为了解决这个问题,本文研究了Weibull模型的差分法拟合技术。

DIFFERENCE FITTING OF THE WEIBULL'S CROP LOSS MODEL

Pennypacker, Madden (1980, 1981 )and others applied the Weibull's curve to de- scribe plant disease progression and nonlinear regression that plant disease cause the loss of crop produce. For its biological meaning and flexible property, the Weibull's model comes to our notice, However, a simple method has not been set on how the model is fitted by date. To solve the problem, this paper deals with fitting technique based on difference approximation.Anumerical example is given in this paper.