Abstract: Spatial patterns of Chinese-pine caterpillar(Dendrolimus tabulaeformis Tsai et Liu)were measured by Chi square test of frequency distribution and distribution indies.And also new mathematical model and a few of new fit methods on the research of spatial pattern are presented, its includes:(1)m^*—m power law;(2)Jackknifing method is introduced for estimating the population distribution indices;(3)Marquardt's algorithm is applied to the fitting Taylor's power law and the new model. By the Chi square test of frequeucy distribution and distribution indices,the result have shown that follow:The spatial pattern of chinesepine caterpillar larve obeys the negative Binomial distribution;The basic component of spatial pattern is loose colony;The distribution of loose colony is aggregated but is uniform at lower density;The intra-colony distribution is random;The mean size of colony is between 40—60. By testing of the new model,m^*—m power law,it concludes that: When α<0.β>1 in Iwao's reg ression model,the statically spatial pattern of Chinese-pine caterpillar is aggregated,and its aggregation increases as density increase. Estimating the distribution indices with jackknifing method can reduce the bias of estimation give the approximatively fiducial interual.Therefore it may overcome the defaults of common used method. Fitting Taylor's power law and the new model with Marquardt's algorithm is better than the usual logarithm linear transform fitting method.