中文摘要：

黄土高原地区各种地貌类型形成是一个复杂的系统过程，地貌形态可以看成是各种地形信息因子复合在一起的一个函数。基于1：10000DEM数据，在六个实验区内各随机选择两个完整小流域作为研究对象，以沟壑密度作为因变量，以整个流域的平均坡度、平均坡长和海拔高差（即流域内的地面起伏度）为自变量进行量化模拟。实验证明沟壑密度与坡度、相对高差和坡长之间呈现一种很强的多元线性相关关系，综合模拟三个不同因子与沟壑密度之间的量化相关关系，对整体研究黄土高原地貌的成因机理和形态特征具有重要的理论和实践意义。

英文摘要：

The formation of different types of geomorphology in the Loess Plateau is a complicate systematic process, and the form can be seemed as a function compounding different topographic factors. Based on 1 ： 10000 scaled DEM, choosing two drainage areas in every six research areas, taking gully density as following variable and mean slope, mean flow length and relief as independent variable, this article stimulates their quantitative relation. The result of research proves that the four topographic factors have strong linear relation, and the mathematical relation has important theoretical and practical significance to the research of cause and configuration characters of geomorphology of the Loess Plateau.