线状景观要素的分维数与其形状特征的关系  

The Relations between the Fractal Dimension of the Linear Landscape Element and its Shape Features

作　　者：胡文忠[1] 

机构地区：[1]甘肃农业大学学报编辑部,甘肃兰州730070

出　　处：《草原与草坪》2001年第4期20-23,共4页Grassland and Turf

基　　金：甘肃自然科学基金资助项目 (ZS991-A2 1-0 3 1-N )

摘　　要：利用正方形格子网法研究了线状规则图形的分维数 (FD)与其长宽比 (L/W )和面积周长比 (A/P)之间的关系。研究结果表明 ,当平均宽度不变时 ,线状景观要素的FD随着L/W的增加而变大 ;当L/W不变时 ,FD随着A/P的增加而减小 ;随着线状景观要素L/W的增加 ,A/P逐渐增加 ,且当FD接近和≥ 1.5时无限趋近于其平均宽度的 1/ 2 ;在FD随着线状景观要素L/W的增加而变大的过程中 ,存在着一个临界分维数 (CFD) ,其值为 1.5 ,CFD可以作为确定线状景观要素在景观结构中是廊道还是斑块的定量指标 ,FD >CFD的线状景观要素 ,在景观中起廊道的作用 ,FD <CFD的线状景观要素应当被视为斑块。The relations of the fractal dimension (FD) of the linear landscape element and its shape features such as the ratio of Area/Perimeter (A/P) and of Length/Width (L/W) are analyzed with rectangular grids. The results show that the FD of the linear landscape element increases with the largening of L/W while the average width of the linear landscape element keeps constant; FD of the linear landscape element reduces as A/P increases when L/W is fixed; A/P increases with the largening of L/W while the average width of the linear landscape element keeps constant, and when FD of the linear landscape element goes closer to and larger than 1.5, A/P infinitely goes closer to the half of its average width; there is a critical FD (CFD) when FD increases with L/P largening while the average width of the linear landscape element keeps constant, it is 1.5 that can be used as a quantitative index to indentity whether a linear landscape element is a patch or a corridor in landscape structure. It plays the role of patch with a linear landscape's FD<CFD, on the contrary, it acts as a corridor with FD>CFD. Using the figure constructed with A/P as the Y axis and L/W as X axis when FD= 1.5 , the smallest length of a linear landscape element acts as the corridor can be figured out.

关 键 词：分维数 临界分维数 线状景观要素 形状特征 观赏园艺 

分 类 号：S68[农业科学—观赏园艺]