基于间隙度维数的城市土地利用聚簇格局模拟分析

Simulation analysis of congregation for urban land use pattern based on lacunarity dimension

城市土地利用多中心自组织聚簇格局是土地集约节约利用的重要特征和标志之一.针对传统间隙度指数在表达模拟上存在着"可塑性面积单元"等空间尺度效应问题,借助分形理论具有的空间尺度无标度特性,采用"间隙度指数——采样网格尺度"双对数形式构建间隙度维数模型,实现定量表达城市土地利用在空间上的聚簇程度,并以武汉市为例展开验证应用分析.研究结果表明,该模型在统计上具有较好的拟合度,能够跨尺度准确表达城市典型用地类型的聚集离散程度.

The multicentric and self-organized congregation pattern of urban land use is one of the prominent characteristics and symbolization of land intensive and economical use. For the problem of ＂modifiable areal unit＂ and other spatial scale effect issues that traditional lacunarity index produces, fractal theory, attached with scale-free property and the ＂moving window--lacunarity index＂ double logarithmic fitting curve are adopted in this paper to construct lacunarity dimension model so as to quantitatively evaluate the congregation pattern for different land use types. Further it takes Wuhan for example to confirm the applicability of the lacunarity dimension model. Results show that this mod- el has high goodness of fit and it can accurately express the scattered and concentrated distribution for the typical urban land use types in cross-scale level.