以城市区位论为主线,提出区位选择的分形思想和方法,旨在探讨人文地理系统空间优化的基本理论。指出区位选择和空间优化应该遵循三个基本原则:自相似原则、匹配原则和包容原则。
Studies were made on fractal models, principles, and methods in the paper aimed at contributing to general urban location theory by means of fractal geometry. So far, we have had two important fractal models on urban location theory. One is called Five stars Network Model (FSN) on market location in urban districts, which possesses gold section and fractional dimension, and can be used to plan the spatial structure of a city or town. The other is named Koch Snow flake Model (KSM) on systems of urban and rural settlements, which have two kinds of patterns, and can be used to design or improve urban systems in a region. The former has a fractal dimension of 1.672, the latter, however, the theoretical values are calculated as 1.631 and 1.771, and the mean is 1.701. In addition, another model, Sierpinski Triangular Network (STN) on cities distribution and transport network was given and discussed simply. Three basic fractal principles were presented and suggested to be used when planning a city or a region. The first is self-similarity principle, which demands that self-similar structure should be introduced to human geographical system. The second is matching principle, which demands that the values of fractal dimension of some geo-systems should be equal or close to one another when they become united. The third is containing principle, which demands that the fractal dimension of a subsystem must be smaller than that of its mother system, or the fractal dimension of a geosystem must be smaller than that of its environment. Several examples were given to illustrate how to use these models and principles for the purpose of planning and improving human systems.
[1] 宋家泰,顾朝林.论地理学的现代区位研究.地域研究与开发,1987,6(2):2~9
[2] Batty M.The fractal nature of geography.Geographical Magazine,1992,(5):32-36.
[3] 郑冬子,郑慧子.区域的观念:关于地理学的空间原理及其科学哲学思考.天津:天津人民出版社,1997,45~49
[4] 艾南山.曼德布罗特景观和赫斯特现象.见:辛厚文主编:分形理论及其应用.合肥:中国科学技术大学出版社,1993,444~446
[5] Arlinghaus SL.Fractals take central place.Geografiska Annaler,1985,67B:83-88.
[6] 李后强,艾南山.具有黄金分割特征和分形性质的市场网络.经济地理,1992,12(4):1~5
[7] 刘继生,张文奎,张文忠.区位论.南京:江苏教育出版社,1994
[8] 李后强,艾南山.关于城市演化的非线性动力学问题.经济地理,1996,16(1):65~70
[9] Arlinghaus SL & WC.The fractal theory of central place geometry:A diophantine analysis of fractal generators for arbitrary Löschian numbers.Geographical Analysis,1989,21(2):104-121.
[10] 陈涛(陈彦光),刘继生.城市体系分形特征的初步研究.人文地理,1994,9(1):26~30
[11] 陈涛(陈彦光),李后强.城市空间体系的Koch模式.经济地理,1994,14(3):10~14
[12] 曾菊新.空间经济:系统与结构.武汉:武汉出版社,1996
[13] 杨吾扬.区位论原理:产业、城市和区域的区位经济分析.兰州:甘肃人民出版社,1989
[14] 张文忠,刘继生.关于区位论发展的探讨.人文地理,1992,7(3):7~13