泰森多边形和狄洛尼三角网的林木空间格局分析

Spatial distribution pattern of forest trees based on Voronoi diagram and Delaunay triangulation

Voronoi图依据地物之间邻近关系对空间进行剖分,Delaunay三角网是Voronoi图的对偶图.文章以单株木为平面点构建Voronoi图和Delaunay三角网,Voronoi图多边形面积表示林木影响范围,Delaunay三角网中每个三角形边长表示对应林木之间距离。在岳阳平江福寿林场设置12块标准地进行试验,计算基于Voronoi图的角尺度、传统的角尺度、基于Delaunay三角网的集聚指数和Voronoi图多边形面积的变异系数,结果表明:这4个指数均能反映样地林木之间的空间分布,变异系数对空间均匀分布和聚集分布有较好的区分度。

Voronoi diagram is a subdivision of space based on adjacence,Delaunay triangulation is the dual of Voronoi diagram,This article regarded individual tree as a planar point and built Voronoi diagram and Delaunay triangulated network,the polygon area of Voronoi indicated the corresponding tree influence scope,and each triangle side of the Delaunay triangulation represented the distance of the corresponding trees.12 sample plots in Pingjiang Fushou forest farm were taken as example,Aggregation index based on Voronoi（WV）,traditional aggregation index（W）,agglomeration index based on Delaunay triangulation（R）,and coefficient of variation（CV）were calculated.Results showed that the above four index could reflect the distribution of forest space,and CVwould have good discrimination on spatial uniform distribution and aggregation distribution.