中文摘要：

为探明黄土丘陵区土壤粘结力沿浅沟分布的空间差异性及其影响因素,运用线性回归模型和状态空间方程模拟了土壤粘结力在浅沟不同部位的分布。结果表明：沿着浅沟分水线、沟坡和沟底,土壤粘结力呈中等程度变异,主要受海拔高度、粘粒、砂粒含量和容重的影响;粘结力与海拔高度、粘粒、砂粒含量、容重均存在显著的空间自相关性和较好的交互相关关系;状态空间方程对粘结力的空间模拟效果要优于线性回归模型,其中采用单因素粘粒含量的状态空间方程结果最好,纳什效率系数NSE为0.968,可以解释粘结力空间变异的97.2%。

英文摘要：

Ephemeral gully is widespread on the hilly Loess Plateau of China. A better understanding of the spatial variability in soil cohesion across the ephemeral gully will improve understanding of ephemeral gully erosion. However,quantitative research about the spatial heterogeneity of soil cohesion is quite few.The study was conducted to investigate and predict the spatial variation of soil cohesion in an ephemeral gully of hilly Loess Plateau by using classical linear regression and state-space methodologies. The results showed that soil cohesion had a moderate variation,and it was considerably influenced by elevation,clay content,sand content and bulk density. The autocorrelation functions for above-mentioned five variables were sufficient to identify their spatial representatives. The cross-correlation functions showed a strong spatial dependence between soil cohesion and elevation,clay content,sand content and bulk density. All the derived state-space models described the spatial variation of soil cohesion better than that of the equivalent linear regression models. The best state-space models based on clay content can explain97. 2% of the soil cohesion variation. Thus,state-space model was recommended as a useful tool to predict soil cohesion in ephemeral gullies of the hilly Loess Plateau. Furthermore,the result can provide valuable data base for setting up soil erosion model.