武汉市外部空间形态分形特征演变规律研究

城市外部空间形态是城市空间要素自组织演变的外在表现，合理的外部空间形态有利于城市组成要素及其资源环境的稳定发展。空间形态的分维数在不同时间尺度上有其发展演变的规律，分维数的变化与人类活动有着密切的关系。以武汉市建国以来不同时段的城市外部形态为例，在GIS环境下研究外部形态信息图谱，提取各时期的分维数和人口、面积的统计数据，经拟合发现城市规模与外部形态分维数有密切的函数关系，并在此基础上建立“形态描述函数”，提出在城市发展时期，分维数可作为城市面积和人口规模的指示器，来预测城市空间扩展和演变的程度，以及利用分维数与社会经济因素的相关关系可以深入分析城市空间形态的发展机理。

EVOLVEMENT OF SPATIAL MORPHOLOGY IN OUT AREAS OF CITIES

The spatial morphology of out area of a city is the exterior exhibition of its spatialorganization. The rational spatial morphology is valuable for the development of urban elements and resources. There is an inherent evolutional rule for the fractal dimension of spatial morphology in different temporal sizes, and there is a linear relationship between the fractal dimensions and the population, and also the area. Taking Wuhan as an example, the outer spatial dimensions, populations and areas are calculated, and there is a consanguineous functional relationship between urban size and the outer morphological fractal dimension. The describing morphological function can be constructed based on above-mentioned research. It is considered that the fractal dimension can be regarded as the indicator to forecast the urban spatial expansion and evolvement, and the developing mechanism of urban spatial morphology can be analyzed using the correlation between the fractal dimension and social and economical factors.