区域城市人口—面积异速生长关系的分形几何模型——对Nordbeck-Dutton城市体系异速生长关系的理论修正与发展  

Studies on the Fractal Geometric Model of Allometric Growth Relationships between Area and Population of Urban Systems

作　　者：陈彦光[1] 许秋红[1] 

机构地区：[1]信阳师范学院地理系

出　　处：《信阳师范学院学报（自然科学版）》1999年第2期198-203,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金;河南省自然科学基金

摘　　要：探讨了城市人口（Ｐ）——城区面积（Ａ）幂指数关系Ａ＝ａＰｂ的分形几何性质，证明其标度因子ｂ具有分维意义，进而论证城市体系的异速生长过程具有分数维特征。文章推断。The model of allometric growth relationships between area(A) and population (P) of urban systems, A∝P b ,was studied, and the exponent,b,proved to have meaning of fractal dimension,and it was discovered that b=D/2 ,here D is average fractal dimension of city form.The average value of D in an urban system approximate 1.70,so the average value of b should be close to 0.85.The inference have been demonstrated with a number of examples.

关 键 词：城市体系 异速生长 分形几何 地区面积 城市人口 

分 类 号：F129.9[经济管理—世界经济] P942[天文地球—自然地理学]