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 Populatio

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，城市土地面积的位序—规模关系满足Ｚｉｐｆ定律

Abstract: 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.