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种群趋势指数的方差近似估计式及其应用
引用本文:陶方玲,闵嗣璠,梁广文,曾玲. 种群趋势指数的方差近似估计式及其应用[J]. 昆虫学报, 2008, 51(5): 521-525
作者姓名:陶方玲  闵嗣璠  梁广文  曾玲
作者单位:1. 江西农业大学食品科学与工程学院,南昌,330045;华南农业大学资源与环境学院,广州,510642
2. 江西农业大学食品科学与工程学院,南昌,330045
3. 华南农业大学资源与环境学院,广州,510642
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  
文章编号:0454-6296(2008)05-0521-05
修稿时间:2007-10-08

An approximate variance estimator for index of population trend developed with delta-method and its application
TAO Fang-Ling,MIN Shi-Fan,LIANG Guang-Wen,ZENG Ling. An approximate variance estimator for index of population trend developed with delta-method and its application[J]. Acta Entomologica Sinica, 2008, 51(5): 521-525
Authors:TAO Fang-Ling  MIN Shi-Fan  LIANG Guang-Wen  ZENG Ling
Abstract:On the basis of Watt's mathematical model of the index of population trend(I),an approximate variance estimator of I was developed with delta-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 biological agent(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 statistically 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.
Keywords:Approximate variance estimator  index of population trend  life table  rice leaf roller(Cnaphalocrocis medinalis)  delta-method
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