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›› 1991, Vol. 27 ›› Issue (5): 511-516.

• 论文及研究报告 • 上一篇    下一篇

m-v模型在检验昆虫空间分布型与抽样调查中的应用

兰星平   

  1. 贵州省森林病虫检疫防治站
  • 收稿日期:1990-04-29 修回日期:1900-01-01 出版日期:1991-09-25 发布日期:1991-09-25

APPLICATION OF m-V ANALYSIS METHOD TO THE EXAMINING INSECT SPATIAL PATTERN AND SAMPLING TECHNIQUE

Lan Xingping   

  1. Forest Pest Quarantine and Control Station of Guizhou Province
  • Received:1990-04-29 Revised:1900-01-01 Online:1991-09-25 Published:1991-09-25

摘要: m-m模型中m=α+βm在非线性情况下,不能用α、β的回归值来判断昆虫种群的空间分布型。因此,作者用方差(v)来代替m-m模型中的均数(m),提出了检验昆虫种群空间分布型的m-v模型:m=φ+ψφ。根据m-v模型,推导了新的序贯抽样方程、最大抽样数量公式和确定最适抽样单元大小的公式。当v=a+bm时,m-v模型可被Iwao的m-m模型所代替;在随机分布模型中,v=m,所以m-v模型完全等价于m-m模型,因此Iwao的模型是m-v模型的一个特例。

关键词: m-v模型, 昆虫种群, 空间分布型, 抽样技术

Abstract: On the basis of the linear relationship between mean crowding m and vatiance(v), a new model to be used for examining insect population spatial pattern and sampling technique is presented by auther in this paper, i·e m-v model (m=φ+ψv). In general, the linear related degtee of m and v is better than m and m. As the (m=φ+ψv) is linear, the estimated values of φand ψ can offer different informatin concerning the spatial pattern of insect population. (1)φ=0, ψ=1, random distribution. (2)φ>0, ψ<1, aggregation distribution. (3)when the m<1 and v>m/(1-m), φ>0, ψ>1, aggregation distribution. uniform distribution. according to the m-v model and the Lloyd's mean crowding formula (m=v/m+m-1), the auther derived a set of new math formula for sampling insect population. they are: (1) the boundary equation of sequential sampling, (2) a formula of determining maximum sampling number, (3) a formula for selecting the opitimum sample unit size of a sample.

Key words: m-v model, Insect population, Spatial pattern, Sampling technique