| 城市规模分布的分形和分维 |
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| 引用本文： | 陈彦光,刘继生. 城市规模分布的分形和分维[J]. 人文地理, 1999, 0(2) |
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| 作者姓名： | 陈彦光 刘继生 |
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| 作者单位： | 信阳师范学院地理系(陈彦光)，东北师范大学地理系(刘继生) |
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| 基金项目： | 国家自然科学基金,河南省自然科学基础研究资助 |
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| 摘 要： | 研究城市规模分布的分形特征，修正了一些位序—规模模型，将历史上出现的有关城市规模分布的模型统一在分形形式之下，并给出了具有一般意义的三参数Ｚｉｐｆ模型：Ｐ（ｋ）＝Ａ（Ｋ－ａ）－ｑ。将Ｚｉｐｆ维数与大自然１／ｆβ起伏的β指数进行类比，认为分维Ｄ＝１／ｑ＝１是一种先验的优化维数，进而提出结构优化的１／ｒ型城市位序—规模分布，以此作为城市体系等级结构规划的依据之一。
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| 关 键 词： | 城市体系 城市规模分布 分形 分维 |
FRACTALS AND FRACTAL DIMENSIONSOF CITY-SIZE DISTRIBUTIONS |
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| Chen Yanguang. FRACTALS AND FRACTAL DIMENSIONSOF CITY-SIZE DISTRIBUTIONS[J]. Human Geography, 1999, 0(2) |
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| Authors: | Chen Yanguang |
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| Abstract: | Fractals of citysize distribution were studied,and the related mathematical models were compared with one another,revised,and synthesized into the general fractal model on ranksize rule: P(k)=A(K-a)-q.The fractal dimensions of size distributions of cities were compared with the exponent of 1/f noise in nature and the 1/rdistribution of citysizes(Zipf dimension q=1) was presented as the optimumized distribution.It was demonstrated that fractals are essentially orders of hierarchical sturcture of urban systems and D=1/q=1 is the optimum dimension of citysize distributions. |
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| Keywords: | Urban system Citysize distribution Fractal Fractal dimension |
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