The paper takes Lanzhou and Baiyin urban area as an example and analyzes quantitatively the regional spatial structure based on the fractal theory gathered dimension, grid dimension and the correlation dimension model.The results show that urban space distribution center to a density attenuation state around Lanzhou, the attractions surrounding towns near center city induces gradually with the distance increasing.At the same time, most towns heavily focus on geographical factors (the traffic lines or rivers), their self-organization evolution in space structure has an optimal trend, however,their spatial correlation degree and space interaction degree is general.In order to promote space structure optimization in urban area of Lanzhou and Baiyin, the paper puts forward three space optimization aspects from three levels of the point, line and area.%以兰州-白银城市区域为例,运用分形理论中的聚集维数、网格维数和关联维数模型对区域空间结构进行定量分析.结果表明,城镇空间分布以兰州市区为中心向四周呈密度衰减状态,中心城市对周边城镇的吸引力也是从中心逐渐向四周衰减;城镇高度集中于某一地理要素(交通干线或河流),其自组织演化在空间结构方面具有优化趋势;城市区域空间关联程度、空间相互作用程度一般.为了促进兰州-白银城市区域空间结构的良性发展,必须从点、线、面三个层面进行优化.
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