Iwao M~*-M模型随机分析偏离度检验方法的研究

SIGNIFICANCE TEST OF DEVIATIONS FROM α,β VALUES IN IWAO M-M MODEL FOR DETERMINING THE SPATIAL DISTRIBUTION OF INSECT

Iwao M~~*-M模型中其参数α、β揭示了种群分布的特性,当α■0,β■1,种群分布呈随机型。在实际应用中α,β值不会恰好为0和1,存在一定偏离。本文提出一种偏离度检验方法(F检验),解决了种群空间分布型判断为随机型时,允许存在多大偏离,即偏离度的检验问题。式中:n为供建立Iwao M~*-M模型的样地数,α、β为Iwao M~*-M模型中常数项和回归系数,M~*为平均拥挤度,M为平均密度。应用该检验方法对两个实例进行判断,收到满意效果。

In this paper,a significance test method(F-test) of diviations fromα,β values in Iwao M~*-M model for determining the spatial distributionof insect population was presented.The F-equation was derived asfollows:where,n is the number of samples;α,β,the parameters of IwaoM~*-M equation;M~*,the mean crowing;and M,the mean density. Two examples were used to assess the availability of this method,the results were satisfactory.