Abstract: The distribution of nymph-adult population of brown plant hopper (Nilaparvata lugens) in the initial stable-increasing stage fits negative binomial distribution, and egg population fits truncated negative binomial distribution (TNBD). Theoretical sampling sizes models were obtained: For nymph-adult population,n=(1/D²) (1/(x)+1/2. 3584) or n=t/D² (1/(x) + 1/2. 3584), n= theoretical sampling sizes, (x)=average of sample, D= allowable error, t=the value of t-distribution. For egg population, n=9.1777/(D²(x)) [1-P(1)] or n=(t/D)²*(9.1777(x)) [1-P(1)], n=theoretical sampling sizes without zero, x=average of sampling without zero, P(I) frequency of one in the samples without zero. Theoretical sampling sizes models of nymph-adult population were obtained accordingtothe improving of IWAO's (M)—M model and Taylor's power law as following: n=1/D²(7.4820/(?)+0.11(?)-1.322)or n=t/D²(7.4820/(x)+0.11(x)-1.322)andn=0.9932/D² ·(x)^0.26854 or n=t/D². 0.9932(x)^0.26854.

Key words: Brown planthopper, Population, Spatial pattern, Sampling technique

摘要： 褐飞虱Nilaparvata lugens (st(?)l)种群稳定增长初期(8月初)田间成、若虫拟合为负二项分布,卵为截尾负二项分布。由此导出理论抽样数模式。成、若虫为n=(1/D~2)[(1/(?))+1/2.3854]或n=(t/D)~2(1/(?)+1/2.3854)。卵为n=(9.1777/D~2·(?))[1-P(1)]或n=(t/D)~2·(9.1777/(?))[1-P(1)]。应用改进的(?)回归法,求得成、若虫的理论抽样数模式为n=(1/D~2)[(7.4820/(?))+0.11(?)-1.322]或n=(t/D)~2·[(7.4820/(?))+0.11(?)-1.322)。应用Taylor指数法得到理论抽样数模式为n=0.9932/D~2)·(?)~(-0.26854)或n=(t/D)~2·0.9932(?)~(-0.26856)

关键词: 褐飞虱, 种群, 空间分布型