Abstract
This paper researches the Chang-Zhu-Tan urban agglomerations, uses the gravitational model and the field strength model, based on the gross production of the city, the urban population, economic distance and commuting time four aspects index system, calculates the gravitational and field strength values of the core city of Changsha to the Chang-Zhu-Tan urban agglomerations, and obtains theoretically spatial extent of the Chang-Zhu-Tan urban agglomerations. The result shows that: the spatial extent of the Chang-Zhu-Tan urban agglomerations the Government establishes is consistent with the spatial extent and theoretical calculations; while the 2.4 calculation result proves that the application of gravity model and field intensity model is feasible to define the spatial extent of urban agglomeration.
Highlights
After the 1950's, the theoretical circle didn't limit the research of urban agglomeration to the method of qualitative analysis, but they started to carry on the quantitative research. It used some mathematical models of mathematics, physics, economics to research the scope and boundaries of urban agglomeration and made a series of achievements, especially on the study of urban agglomeration spatial structure, so many structural models of urban agglomeration has been produced, and the striking ones are the gravity model and field strength model [2]
The gravity model can calculate a pair of expected interactions between cities, but to calculate the interaction amount between a town and all the towns in the system, including itself, The gravity model can be used to calculate the interaction amount and the sum can be used to obtain the potential model, as shown in Formula 1-2:
According to the above modified calculation of the gravity model, formula 2-2 can be expressed as 2-3: Iic in the formula: Iic represents the attraction between city i and city c; Pi, Pc represents the urban population of city i and city c respectively; Gi, Gc represents the gross urban product of city i and city c respectively; Eic represents the economic distance between city i and city c; i is the surrounding city and c is the core city
Summary
1.1 Relevant theories related to spatial structure of urban agglomeration Urban agglomeration refers to a large number of cities of different nature, types and rating scale in the specific geographic range, based on a certain natural environment conditions, with one or two large or super-large city as a regional economic core and with the help of modern transportation and accessibility of the comprehensive transportation network, as well as the highly developed information network, inner links between the cities occur and develop and constitute a relatively complete city "collection"[1]. After the 1950's, the theoretical circle didn't limit the research of urban agglomeration to the method of qualitative analysis, but they started to carry on the quantitative research. It used some mathematical models of mathematics, physics, economics to research the scope and boundaries of urban agglomeration and made a series of achievements, especially on the study of urban agglomeration spatial structure, so many structural models of urban agglomeration has been produced, and the striking ones are the gravity model and field strength model [2]
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