The Mathematical Derivation of the Model of Regional Dual-nuclei Structure
Received date: 2002-09-29
Revised date: 2003-02-23
Online published: 2003-05-25
Supported by
National Natural Science Foundation of China, No.40131010; No.40071037; The National 211 Project
In order to derive the regional dual-nuclei structure by the method of building mathematical model, this paper redefines regional accessibility and establishes the formula to calculate it. Our research indicates that the present formula of accessibility measures materially the centrality of one point in a special region. So the present regional accessibility is only the regional internal accessibility. Based on this, this paper divides the regional accessibility into two parts as regional external accessibility and regional internal accessibility. The method to measure regional external accessibility is discussed in detail. The present method fails to measure regional external accessibility because it is impossible to get the value of the regional external accessibility of the gate point. We hypothesize a virtual point located outside the region to resolve the problem. Using the new concept of regional accessibility, this paper derivates the mechanism of the model of dual-nuclei structure and parameters of its existence under the hypothetical background of homogeneous plain. It is also verified that river basin is the best background for dual-nuclei structure to appear. Other spatial structure models can be derived by varying the parameters, because regional dual-nuclei structure is merely one of the spatial structure models.
LU Yuqi, YU Yongjun . The Mathematical Derivation of the Model of Regional Dual-nuclei Structure[J]. Acta Geographica Sinica, 2003 , 58(3) : 406 -414 . DOI: 10.11821/xb200303010
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