浐河灞河流域新石器时代遗址人地关系的数学模型研究

The Mathematical Model about the Man-land Relationship of the Neolithic Sites in the Valley of Chan River and Ba River

以新石器时代遗址人地关系为主要研究目标,本文研究了西安地区灞河、沪河流域新石器时代遗址特征,确定了可量化表征因素,采用多项式逐步回归方法建立了新石器时代遗址与河流之间人地关系的数学模型。模型表明遗址距河流距离与遗址面积、河流流量、遗址位置、河流比降有显著关系。模型运算结果表明研究区域新石器时代遗址与河流之间关系符合考古学研究结论,构建的数学模型对西安地区新石器时代遗址点群考古发掘具有前瞻性指导作用,对新石器时代遗址环境考古具有重要意义。

In order to study the man-land relationship of the Neolithic sites, ecological environment of the Neolithic sites along Chan river and Ba river in Xi＇an area has been analyzed. It was found that the characteristic factors of the sites had a very close relationship with the river nearby. The characteristic factors of Neolithic sites and the rivers have been defined as mathematical parameters by statistical methods. A mathematical model of man-land relationship between a Neolithic site and the river has been established with the stepwise regression procedure. The mathematical model shows that the distance from a site to a river has a significant correlation with the site area, the river flux, site location and river ratio drop. The regression results show that the relationship between the sites and the river is in accordance with archaeological research conclusions. The mathematical model offers a perspective theoretical guidance for the archaeological excavation of the Neolithic sites in Xi＇an.