基于分形理论的厦门城市边界复杂特性研究

Study on the complex features of Xiamen boundaries based on fractal theory

基于分形理论,利用计盒法对1987~2018年间滨海城市厦门的边界复杂性进行定量研究,探讨了经济生产总值、人口、港口呑吐量、外贸进出口与城市边界分形特性的相关关系。结果表明,城市整体边界、岛内和岛外的边界皆具有非整维数,呈现分形特性;城市边界、岛内和岛外区域边界的盒维数呈下降趋势,显示了边界复杂性逐年降低的演变规律;城市边界的盒维数与经济生产总值、人口、外贸进出口总额、港口货物呑吐量等要素均表现出显著的负相关。在快速城市化进程中,厦门城市边界扩展和复杂性演变受到社会经济、人口等多方因素的影响。该结果为滨海城市空间规划的定量描述提供了一定的参考价值。

Based on the fractal theory,the box-counting method is used to analyze fractal features of the coastal city Xiamen from 1987 to 2018.The relationship among gross domestic product,population,port throughput,the import and export trade and city boundary fractal properties is analyzed.The results show that Xiamen has non-integral dimension in its overall city boundary and the internal as well as external boundaries of the island,revealing their fractal properties.From 1987 to 2018,the fractal dimensions of the overall city boundary and the internal as well as external boundaries of the island show a decreasing trend,indicating the decreasing trend of the boundary complexity year by year.Fractal dimension of city boundary of Xiamen is negatively correlated with gross domestic product,population,port throughput,and the import and export trade,which suggests that in the process of rapid urbanization,the expansion of city boundary and the change of complexity of Xiamen are afected by many factors such as social econo¬my and population,which may be valuable for quantitative description of spatial planning for coastal cities.