The Research On Changsha Commercial Spatial Structure Based On The Mathematical Analysis Method

In today’s economic globalization, most of our cities have entered the middleacceleration phase of urbanization. The rapid development of urban economicbusiness and new commercial space bring about the evolution, reconstruction andupdating of the whole structure of city commercial space, and thus affect the entiredevelopment of urban spatial structure as well as the planning and construction ofinfrastructure. So the research of urban commercial space structure is of greatsignificance.In this study, we mainly use mathematical analysis to research the typicality andspecificity of Changsha commercial space in the capital cities of central region.According to the research statistics, we choose a limit of5000square meters ofcommercial business area as an urban commercial space index, applying SPSSv17.0for a quantitative analysis of the whole commercial space in Changsha. Then weestablish mathematical models to explore the regularity and future trends of itsdevelopment, and propose some corresponding solutions. According to the factoranalysis of the commercial space of five boroughs, the whole city’s commercialeconomy space is not balanced: the economy of Hexi area and the north of the city isrelative backward. With application of mathematical modal, we do a saturationanalysis of large-scale commerce in Changsha: large retail business as a whole hasbecome saturated; the format form of some large commercial retail enterprises havebegun to develop in the direction of community and minimization. The analysis ofspace distribution of the major commercial district, the radius of the district and theappeal to customers indicates that the five commercial spaces are aggregatelydistributed on spatial layout, and the economy development is not balanced and thecommercial organizations are showing a tendency to spread. The commercial spacestructure evolves from a single center to a multi-center. In face of the problems，Weshould improve the layout of the urban commercial space, optimize the stucture ofthe shopping districe and the grade of spatial layout and guide the commercialdevelopmentThe government should coordinate the relation of the plan for thecommercial networks, the residential areas and the road transportation planning,making the commercial space layout of the entire city more reasonable, and thestructure more perfect. Thus urban commercial economy of the whole city can continue healthy and rapid development and people’s living index can be greatlyimproved.