›› 2008, Vol. 51 ›› Issue (5): 521-525.

• 研究论文 • 上一篇    下一篇

种群趋势指数的方差近似估计式及其应用

陶方玲,闵嗣璠,梁广文,曾 玲   

  • 出版日期:2010-07-27 发布日期:2008-05-20
  • 通讯作者: 闵嗣璠

An approximate variance estimator for index of population trend developed with delta-method and its application

TAO Fang-Ling   

  • Online:2010-07-27 Published:2008-05-20

摘要:

根据吴惠龙等(1986)发表的稻纵卷叶螟 Cnaphalocrocis medinalis 的生命表及 Watt 种群趋势指数数学模型,在delta-方法的基础上,本文提出了一种种群趋势指数方差的近似估计法,并应用于评价稻螟赤眼蜂Trichogramma japonicum Ashmead 及化学杀虫剂(甲六粉)对稻纵卷叶螟的控制作用。根据中心极限定律,当样本足够大时,种群趋势指数近似于正态分布。根据近似方差估计量以及 Z-检验方法,取得以下结论:放蜂区明显优于对照区,因其种群趋势指数取值较小,相应的 P 值为 0.0111,该区也明显优于化学杀虫剂处理区,相应的 P 值为 0.0036。杀虫剂处理区差于对照区,因其种群趋势指数值较大(0.3035),但这种差异并未达到显著水平,P 值为 0.2236。虽然本文的结论近似于吴惠龙等(1986)单纯依据种群趋势指数所得到的结果,但本文的结论更具统计意义,更加可靠。

关键词: 近似方差估计式, 种群趋势指数, 生命表, 稻纵卷叶螟, delta-方法

Abstract: On the basis of Watt's mathematical model of the index of population t rend (I), an approximate variance estimator of I was developed with delt a method in this paper. Taking the natural population life tables of rice leaf roller Cnaphalocrocis medinalis (Lepidoptera:  Pyralidae) published by Wu et al. (1986) as an example, it was applied in evaluating the control effectiveness of biologica lagent (Trichogramma japonicum Ashmead) and chemical insecticide (powder, 1.5% mevinphos + 3% alpha-hexachloro cyclohexane). By Z-test criterion, biologically and statistically sound conclusions were drawn that at the generation level, the suppression effectiveness of trichogramma wasp against rice leaf roller was better than the blank control with P =0.0111 and smaller I value (0.0390 versus 0.1768), and it was also statistically better than the insecticides with P =0.0036 and smaller I value (0.0390 versus 0.3035). The insecticides was not statistic ally worse than the blank control with greater I value (0.3035 versus 0.1768), and P =0.2236. Although these conclusions are close to that drawn by Wu et al. (1986) only based on the index of population trend point estimates, they are supported by an accuracy measurement P-value.

Key words: Approximate variance estimator, index of population trend, life t able, rice leaf roller (Cnaphalocrocis medinalis), delta-method