• 研究论文 •

### 城乡界面动态模型研究

1. 1. 河南大学黄河文明与可持续研究中心暨黄河文明传承与现代文明建设河南省协同创新中心,开封 475001
2. 河南大学环境与规划学院,开封 475001
3. 河南大学区域发展与规划研究中心,开封 475001
• 收稿日期:2016-06-09 修回日期:2016-10-10 出版日期:2016-12-23 发布日期:2016-12-23
• 作者简介:

作者简介：乔家君（1973- ）,男,河南睢县人,博士,教授,博士生导师,主要从事乡村地理学研究。E-mail:jjqiao@henu.edu.cn

• 基金资助:
国家自然科学基金项目（41671172,41430637,41329001）;教育部人文社会科学重点研究基地重大项目（14JJD790011）;河南省高校科技创新团队支持计划项目（16IRTSTHN012）

### Research on dynamic model of urban-rural interface

Jiajun QIAO1,2,3(), Yuling MA2

1. 1. Key Research Institute of Yellow River Civilization and Sustainable Development & Collaborative Innovation Center on Yellow River Civilization, Henan University, Kaifeng 475001, Henan, China;
2. College of Environment & Planning, Henan University, Kaifeng 475001, Henan, China;
3. Research Center ofRegional Development and Planning, Henan University, Kaifeng 475001, Henan, China
• Received:2016-06-09 Revised:2016-10-10 Online:2016-12-23 Published:2016-12-23

Abstract:

The spatial location of the urban-rural interface (URI) is at the junction of urban and rural areas. In function, URI is the spatial carrier of communication for urban and rural elements. The development of URI is of great significance to the coordination of urban and rural areas. First, from the perspective of elements flow, this research established a theoretical framework of URI, which is based on system dynamics, to extend the urban and rural system to a three-body framework: urban area-URI-rural area. In this framework, the structure of urban and rural system is composed of three subsystems including urban system, URI system and rural system. And among them, URI system has its unique structure and function. From this meaning, URI consists of three parts including boundary wall, interface and boundary gate. For its function, it mainly plays the role of defense and exchange in the urban and rural system. The formation mechanism of URI reflects the forces of urban and rural systems to URI, and the interaction mechanism reflects the reaction of URI to urban and rural systems. Second, on the basis of the theoretical model, we built a quantitative model to characterize the dynamic evolution mechanism of URI by using methods of quantitative geography. The model solution shows that: (1) In different stages of development, URI is affected by these different degrees of endogenous and exogenous dynamic power. In early stage of URI's formation, the development power is mainly derived from endogenous dynamics. With the development of URI, exogenous dynamics increased gradually, and functioned with endogenous dynamics. Moreover, the gap between two dynamics is narrowed and the development of URI is accelerated. After URI achieves the equilibrium, exogenous dynamics reduce gradually and endogenous dynamics become the main driving force. (2) With the development of URI, the effects transited from negative to positive. The value of effects depends on the cyclic accumulation capacity of URI itself. In early stage of URI's formation, the ability of cyclic accumulation is weak, so the effect of URI is minor, and may even be negative. With the increasing ability of the cyclic accumulation, the negative effect transfer to positive one and increase gradually. (3) The balancing condition of URI is mutually affected by the exchange rate, endogenous dynamics and cyclic accumulation ability of urban-rural elements. The equilibrium of a certain URI is stable and has spatial scale effects. According to the research on the stochastic dynamic model, we found that the random noise term would influence the speed of equilibrium state of certain URI, instead of the equilibrium state itself, which proved the argument that the equilibrium state of a certain URI is stable. Equilibrium solutions of the dynamic model further characterize that its equilibrium state is not exactly equal at different spatial scales. (4) The switch model depicts the function of boundary gate, and the interface equilibrium is the critical point to decide whether we switch the gate open or closed. When the boundary gate is open or closed depends on whether URI reaches the critical value of its equilibrium state. According to the above conclusions, the paper puts forward policy recommendations respectively from temporal and spatial scales. From the temporal perspective, because of the impetus, the effect of URI and the role of boundary gate are different in different development stages of URI, we should take discretionary measures. From the spatial perspective, the equilibrium of URI is different at different spatial scales, so different development policies should be implemented at different spatial scales of URI.