中文摘要：

采用地统计学的变异函数分析方法定量研究了15年生落叶松（Larix olgensis）人工纯林凋落物层重量的空间异质性特征，利用地统计学的克里格内插法结合定积分，对凋落物层的重量进行了估测．结果表明：1）不同分解层次的凋落物重量的变异函数曲线理论模型均为球状模型，空间变异主要是由结构性因素引起，且空间自相关程度均属中等以上（空间结构比〉25％）．2）非参数统计的成对样本符号检验结果表明，变异函数分析结果基础上的克里格内插法适用于凋落物重量的估计．利用此估计值，拟合其与位置坐标值之间的多元回归关系均为二元十次余弦级数多项式．利用此多项式，通过定积分的方法（积分区间为整块样地的大小），估计出15年生落叶松人工纯林中凋落物层的未分解、半分解、完全分解和腐殖质层的重量分别为4．7753、5．4129、8．0742、10．9269t·hm^-2、3）采用地统计学的克里格空间插值，结合多元回归和定积分的方法，可以实现落叶松人工林凋落物层重量的准确估计．

英文摘要：

Semivariance analysis of Geostatistics was employed in the quantitative study of the spatial heterogeneity of litterfalll mass in Larix Olgensis plantation stand of 15 a. The method used for the estimation of the litterfall mass was kriging interpolation of Geostatistics and definite integral. The results showed that 1） the semivariograms of litterfall mass in Larix Olgensis stand were best described by spherical model. The spatial variability of litterfall mass in Larix Olgensis stand was mainly caused by structural factors. The spatial heterogeneity degree of litterfall mass induced by structural factor was moderate above （with spatial structural ratio 〉25 %）. 2）The sign-test of nonparametric statistics of comparing two dependent samples showed that the kriging interpolation, based on the results of semivariance analysis, could be used to estimate the litterfall mass on every location in Larix Olgensis plantation stand. The relationship between those estimated litterfall mass and the values of its corresponding coordinates was best fitted by bivariate order 10 cosine series polynomial. Based on the result of definite integral to those polynomials （integral range was limited to plot size）, the mass of intact litterfall, slightly-decomposed litterfall, drastically-decomposed litterfall, and humus litterfall was 4.7753, 5.4129, 8.0742, 10.9269t·hm^-2, respectively. 3） Using the kriging interpolation method of Geostatistics, combined with multiple regression and definite integral, provide a new optimal alternative for the estimation of litterfalll mass in Larix Olgensis plantation stand.