| 中心地体系中的分形和分维 |
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| 引用本文： | 陈彦光. 中心地体系中的分形和分维[J]. 人文地理, 1998, 13(3): 19. DOI: 10.13959/j.issn.1003-2398.1998.03.004 |
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| 作者姓名： | 陈彦光 |
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| 作者单位： | 信阳师范学院地理系, 464000 |
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| 基金项目： | 国家自然科学基金,河南省自然科学基金 |
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| 摘 要： | 中心地体系中蕴含着分形结构,具有多分维特征。本文借助koch雪花和随机Sierpinski图形揭示了中心地k=3体系和k=4体系的生成机制,提出了城乡聚落体系和城市-交通网络的两种分形模型,这些模型的分维与S.Arlinghaus的发现具有对应性。
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| 关 键 词： | 中心地 城乡聚落体系 交通网络 分形 分维 |
FRACTALS AND FRACTAL DIMENIONS IN CENTRAL PLACE SYSTEMS |
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| Chen Yanguang. FRACTALS AND FRACTAL DIMENIONS IN CENTRAL PLACE SYSTEMS[J]. Human Geography, 1998, 13(3): 19. DOI: 10.13959/j.issn.1003-2398.1998.03.004 |
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| Authors: | Chen Yanguang |
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| Affiliation: | Department of Geography, Xinyang Teachers College |
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| Abstract: | In the paper,an approach was made to the fractals and fractal dimensions in systems of central places.Two fractal models of systems of cities and towns were studied; one is Koch snowflake model (KSM),which corresponds to the central place pattern of k=3,and can be used to imitate urban systems;the other is Sierpinski triangular network modol(STN),which,presented for the first time,corresponds to the central place pattern of k=4,and can be used to simulate transport network based on urban agglomerations.The fractal dimensions of the former are calculated as 1.631 and 1.771,and, the latter,is 1.585,which correspond with the results given by S.L.& W.C.Arlinghaus. Fractal dimensions of some examples were tabulated to demonstrate the fractal central place theory. |
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| Keywords: | Central places Urban system Trasport network Fractal Fractal dimension |
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