论文标题
基于分形的建模和城市形式和增长的空间分析：中国深圳的案例研究
Fractal-based modeling and spatial analysis of urban form and growth: a case study of Shenzhen in China
论文作者
论文摘要
城市生长的分形维度曲线可以用sigmoid函数建模，包括逻辑功能和二次逻辑功能。不同类型的逻辑功能表示不同的空间动力学。西方国家城市增长的分形维度曲线遵循共同的逻辑功能，而中国北部城市的这些曲线遵循二次逻辑功能。现在，我们想知道所有中国城市是否遵循相同的城市进化规则。本文致力于探索中国南部深圳市的分形和分形尺寸特性。城市区域分为四个亚地区，ArcGIS技术，盒子计数方法用于提取空间数据集，并采用最小二乘回归来估计分形参数。结果表明：（1）深圳市的城市形式具有明显的分形结构，但是不同亚群岛的分形维度是不同的； （2）所有四个研究区域的分形维度曲线只能通过共同的逻辑功能来建模，并且拟合良好随着时间的推移而增加； （3）深圳市的城市增长峰值已经过去，在1986年之前，分形维度的增长正接近其最大能力。可以得出结论，深圳的城市形式具有多重分子的特征，分形结构通过自组织逐渐变得更好，但其土地资源达到了增长的限制。深圳城市增长的分形维度曲线与欧美城市相似，但与中国北部的城市不同。这表明中国北部和南方之间存在城市发展的微妙动态机制。
Fractal dimension curves of urban growth can be modeled with sigmoid functions, including logistic function and quadratic logistic function. Different types of logistic functions indicate different spatial dynamics. The fractal dimension curves of urban growth in western countries follows the common logistic function, while these curves of cities in northern China follows quadratic logistic function. Now we want to know whether all Chinese cities follow the same rules of urban evolution. This paper is devoted to exploring the fractals and fractal dimension properties of the city of Shenzhen in southern China. The urban region is divided into four subareas, ArcGIS technology, box-counting method is adopted to extract spatial datasets, and the least squares regression is employed to estimate fractal parameters. The results show that: (1) The urban form of Shenzhen city has clear fractal structure, but fractal dimension values of different subareas are different; (2) The fractal dimension growth curves of all the four study areas can only be modeled by the common logistic function, and the goodness of fit increases over time; (3) The peak of urban growth in Shenzhen had passed before 1986, the fractal dimension growth is approaching its maximum capacity. Conclusions can be reached that the urban form of Shenzhen bears characteristics of multifractals, the fractal structure has been becoming better gradually through self-organization, but its land resources are reaching the limits of growth. The fractal dimension curves of Shenzhen's urban growth are similar to those of European and American cities, but differ from those of the cities in northern China. This suggests that there is subtle different dynamic mechanisms of city development between northern and southern China.
