中文摘要：

长白落叶松是我国东北地区主要造林树种之一，为了估计出其林下凋落物的现存量，该文采用地统计学的变异函数分析方法定量研究了18～40年生长白落叶松人工林凋落物的空间异质性特征，在此基础上利用地统计学的克里格内插法结合定积分，对落叶松人工林凋落物的现存量进行了估测。结果表明：①不同分解程度凋落物层质量的变异函数模型均为球状模型，且随着凋落物分解程度的加深，其水平方向上的异质性程度呈增强趋势。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落叶松人工林不同分解程度的凋落物层质量估计。利用此估计值，拟合其与位置坐标值之间的多元回归关系式均为二元十次余弦级数多项式。在此多项式的基础上，通过定积分的方法（积分区间为整块样地的大小），估计出18～40年生落叶松人工林凋落物的未分解层、轻度分解层、中度分解层和重度分解层的质量分别为5．35～8．46、5．60～10．62、0．60～7．99、3．41～17．76t／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现存量的估计。

英文摘要：

Larix olgensis is one of the main tree species in Northeast China. Semivariance analysis of geostatistics was employed to quantify the spatial heterogeneity of litter in the 15～40 year-old L. olgensis plantation. The Kriging interpolation of geostatistics and definite integral method were used to estimate the standing litter mass of the L. olgensis plantation. The results show that ： 1 ） The semivariograms of standing litter mass in different litter layers of L. olgensis plantation were best described by spherical models. The horizontal spatial heterogeneity increased with the degree of litter decomposition increasing. 2）The sign test of nonparametric statistics for paired samples shows that based on semivariance analysis,the Kriging interpolation could be used to estimate the litter mass on every location in L. olgensis plantations. The multiple correlation between predictive value and its corresponding coordinate value was best described by bivariate 10 order cosine series polynomial. Based on the result of definite integral to those polynomials （integral range covering entire plot size）, the masses of un-decomposed, slightly-decomposed, middle-decomposed and drastically-decomposed litter layers in the 15～40 year-old L. olgensis plantation were 5.35 ～ 8.46,5.60 ～ 10.62,0.60 ～ 7.99,3.41 ～ 17.76 t/hm^2 ,respectively. 3） Using the Kriging interpolation of geostatistics, multiple regression and definite integral,a new optimal alternative for the estimation of litter mass in L. olgensis plantation was provided.