城市土地利用形态及其空间结构的分维描述方法

Methods of characterizing urban land-use form using fractal dimension

摘要: 首先总结并论证了描述城市土地利用形态及其空间结构特征的两种分维 :边界维数和半径维数前者可用面积—周长关系和周长—尺度关系定义 ,测算方法有结构步长法、网格计数法等 ;后者则用面积—半径关系定义借助数目—尺度关系测算文章简述了这两种维数的地理几何意义并以实例说明了其应用方法最后作者建议采用网格维数包括信息维数对城市土地利用的空间形态作进一步描述

Abstract: So far,there are two kind of fractal dimensions by means of which urban land use pattems can be described and characterized.One is `boundary demension',which was recommended by M.Batty and P.A.Longley in 1980s;the other is `radial demension',which was presented by P.Frankhouser and suggested by R.White and G.Engelen in 1990s.After discussing the two dimensions mentioned above,we advance another dimension——grid dimension as a complement.A typical grid dimension is information dimension,the related probabili...