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林业资源管理 ›› 2015›› Issue (4): 33-38.doi: 10.13466/j.cnki.lyzygl.2015.04.007

• 科学研究 • 上一篇    下一篇

基于Voronoi图的角尺度分析方法探讨——以湖南省平江县福寿林场为例

李际平, 封尧, 赵春燕, 张彩彩, 曹小玉   

  1. 中南林业科技大学 林学院,长沙 410004
  • 出版日期:2015-08-28 发布日期:2020-12-01
  • 作者简介:李际平(1957-),男,湖南醴陵人,教授,博导,主要从事林业系统工程方面的研究。Email:lijiping@vip.163.com
  • 基金资助:
    “十二五”国家科技支撑项目(2012BAD22B0505)

Discussion on the Analysis Method of Uniform Angle Index Based on Voronoi Diagram —Take Fushou Forest Farm as an example

LI Jiping, FENG Yao, ZHAO Chunyan, ZHANG Caicai, CAO Xiaoyu   

  1. College of Forestry,Central South University of Forestry & Technology,Changsha 410004,China
  • Online:2015-08-28 Published:2020-12-01

摘要: 角尺度是一个描述林木空间分布格局的新参数,它通过描述邻近木围绕中心木的均匀性来判定林木分布格局,对空间结构具有很强的解析能力,其应用方兴未艾。为了制定基于Voronoi图计算角尺度时的相关标准,通过1 000次实验,模拟产生了1 000个随机分布面积为1hm2的大样地,确定了基于Voronoi图研究角尺度的标准角为360°/(n+1),通过拉依达准则确定了随机分布时角尺度均值的取值范围为[0.327,0.357],并结合角尺度的定义推理出,均匀分布时角尺度均值的取值范围为[0,0.327),团状分布时角尺度均值的取值范围为(0.357,1]。通过聚集指数和角尺度两种方法分别分析了福寿林场杉木生态公益林中6个实际调查样地的林木空间分布格局,结果是一致的。这一标准的提出为进一步完善角尺度理论,扩大其应用范围,起到了重要的推动作用。

关键词: 标准角, 判别标准, 空间结构参数, 空间结构单元, 计算几何

Abstract: The uniform angle index was a new parameter for describing the distribution pattern of tree positions.It described the degree of spatial regularity of the neighboring trees around a given reference tree.This parameter,accepted by more and more researchers,can be used to analyze complicated forest spatial structures.In order to put forward standards for uniform angle index,based on Voronoi diagram,in this paper,1000 randomly distributed plots with 1hm2 (100m×100m)each one,were simulated and analyzed.And the standard angle of the uniform angle index based on Voronoi diagram was formulated by 360°/(n+1).The critical value for the identification of tree random distribution pattern was discussed within the interval μ±3σ.The mean value of the uniform angle index for the random case was defined by the bounds[0.327,0.357].It can be inferred by the definition of the uniform angle index that a 公式 value of less than 0.327 was most likely from a regular distribution,values exceeding 0.357 were most likely from a clumped distribution.Finally,the tree spatial distribution pattern of six plots in Cunninghamia lanceolata non-commercial forest were analyzed by two different methods,i.e.aggregation index and uniform angle index,and they were same.This new judgment criterion to analyze the type of tree spatial distribution represented an important improvement of the uniform angle index theory.

Key words: standard angle, the judgment criterion, spatial structure parameter, spatial structure unit, computation geometry

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