东北地区副省级城市人口、土地和产值的分维关系研究

Study on Fractal Relationship between Population,Land and Output of Vice Provincial Cities in Northeast China

异速生长关系可以用于描述系统局部与整体的关系,也适用于研究系统中两个变量之间的关系,是研究分形城市系统不可或缺的数理方法。本文利用城市动力系统的异速生长模型和城市产出的C-D函数,研究东北地区副省级城市沈阳、大连、长春、哈尔滨这四个城市的人口、土地和产值之间的动力相似关系。研究结果表明这四个城市的人口增长为城市带来的经济效益比土地扩张要大,建议推动城市的经济发展要以引进人口为主,注意土地的集约利用。

The allometric growth relationship can be used to describe the relationship between local and global in a system.It is also suitable for studying the relationship between two variables in the system.It is an indispensable mathematical method to study fractal urban systems.In order to reveal the fractal evolution rule of urban structure,the dynamic similarity relationship between the urban population,land and output of vice provincial cities in Northeast are researched,using the allometric growth equation and the C-D function on cities as dynamic systems.The results show that the economic benefits brought by the population growth in four cities for the city is bigger than that by the land expansion.It is suggested that in promoting economic development of the city the introduction of population should be focused on,and the intensive use of land should be paid attention to.