关于Taylor幂法则的讨论

DISCUSSION ABOUT TAYLOR'S POWER LAW

对ｒａｙｌｏｒ幂法则（Ｖ＝ａｍｂ）在检验种群空间分布型中所存在的问题进行了研究，结果表明：回归参数ａ、ｂ的不同组合形式与分布型的判断准则，并非完全取决于ａ、ｂ的数值大小，而是在ｍ的取值区间（ｍａ，ｍｂ）内，比值Ｖ／ｍ＝ａｍｂ－１是否偏离１来确定的。在ｌｏｇｍ×ｌｏｇＶ的直角坐标系中，ａ和ｂ的组合数有九种；ａ、ｂ作为控制Ｖ与ｍ变动程度的参数，本身均不具备特定的生物学含义。当样方大小改变，而样方中的虫体数不成等比例的增加或减少时，参数ｂ的取值也随之改变；当ｍ≠１时，可用ｂｌ—ｌｇａ／ｌｇｍ来判断种群的分布型，其等价于Ｖ／ｍ１的判断准则，当ｍ＝１时，Ｖ＝ａ，直线与ｌｇｍ轴垂直，此时ｂ的存在无意义。

The problems of Taylor's power law in examing insect population spatial pattern, were systematically studed. The results were as follows: ① the different combination types of a and b (the parameters in V=amb), and the law of spatial patterns of insect population were not completely determined by the values of a and b, but by the values of V/m=amb-1 within the limits [ma,mb], the combination types of a and b are nine. ②the parameters of a and b were used for decribing the relation between V and m, none of them do not possess particular bionomics meaning, the b is not the aggregation index to describing insect population inherent charater too. When the sample size in the sampling quadrat are changed, and Xij'/Xij≠a, the value of b is certain changed too. ③when the m≠1,the b=(ar>, or<) 1-lg(a)/lg(m)can be used to examinig insect population spatial patterns.