基于Logistic模型的城市群落共生演化与均衡

The Symbiosis Evolution and Equilibrium in City Community Based on Logistic Model

从群落的角度解释城市集聚现象是全新的研究方向。以生态学中logistic模型为基础,建立描述城市群落内城市相互作用关系的理论模型,分别讨论两种城市群落能否实现生态均衡,均衡是否稳定,以及稳定的条件。通过分析发现,城市群落内共生均衡并不排斥竞争,相反地,竞争有重要作用;依托型城市群落中卫星城间不能形成稳定共生均衡,而中心城与卫星城演化均衡的结果取决于两者共生的水平,一定程度上解释了卫星城发展中存在问题;平等型城市群落内可能出现多种嵌套均衡。

It is an absolute new research trend to explain the phenomenon of urban agglomeration from the perspective of community ecology. Based on the logistic model in ecology, this paper establishes a theoretical model to describe city interaction within the city community. And then we respectively discussed the possible equilibrium results and the stability conditions of equilibrium. The conclusions aye as follows, symbiosis and competition are not antagonistic to the other. On the contrary, the competition plays an important role in the process of symbiosis equilibrium. Satellite cities among the unequal-type city community cannot achieve symbiosis equilibrium. And the result of symbiosis equilibrium between the central city and the satellite town depends on the level of symbiosis, which partly explains some problems existing in the development of the satellite town. And varied equilibriums can be formed in the egalitarian-type city community.