基于GIS、Delaunay三角形的复杂地形区经济重心获取新方法

Research on Acquisition Method of Economic Gravity Centre Based on GIS and Delaunay in Complicated Terrain Area

传统的经济重心求算方法中忽略了经济发展的辐射效应及城市化过程产生的聚集效应和邻近效应,特别是地形对经济发展的影响。该文提出了基于GIS和Delaunay三角形的新的研究方法,通过空间插值Cokriging算法以及对空间点集的平面剖分并结合GIS进行多重迭代运算,在一定程度上解决了传统算法中存在的不足。以2005年四川省各县市的国民生产总值为例,简要阐述了研究方法的技术流程,为以后人口重心、耕地重心等其他社会评价指标重心的研究提供了新方法。

Deficiency of traditional economy gravity center research and a new method based on GIS and Delaunay triangle are presented in this paper.The calculating methods for traditional economic gravity center have ignored the radiation effects of economic development,aggregation effects and proximity effects resulting from the urbanization process,especially the effects of complicated terrain on economic development.The spatial interpolation algorithm：Cokriging and the multiple iterative operations of the planar triangulation of a set of spatial points combined with GIS can solve the deficiency.The paper elucidates technical process of the new method and receives better effect by taking the GNP of Sichuan Province,which can provide an excellent method for analysis of the gravity center of population and cultivated land as well as other social indexes.