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鍦扮悊鐮旂┒ 鈥衡�� 1998, Vol. 17 鈥衡�� Issue (1): 82-89.DOI: 10.11821/yj1998010012

鈥� 璁烘枃 鈥� 涓婁竴绡�    涓嬩竴绡�

鍩庨晣浣撶郴绛夌骇缁撴瀯鐨勫垎褰㈢淮鏁板強鍏舵祴绠楁柟娉�*

鍒樼户鐢�1, 闄堝溅鍏�2   

  1. 1. 涓滃寳甯堣寖澶у鍦扮悊绯� 闀挎槬 130024;
    2. 淇￠槼甯堣寖瀛﹂櫌鍦扮悊绯� 淇￠槼 464000
  • 鏀剁鏃ユ湡:1997-05-05 淇洖鏃ユ湡:1997-12-22 鍑虹増鏃ユ湡:1998-03-15 鍙戝竷鏃ユ湡:1998-03-15
  • 浣滆�呯畝浠�:鍒樼户鐢�,鐢�,1955骞�9鏈堢敓,鍓暀鎺�,鍗氬＋銆備富瑕佷粠浜嬩汉鏂囧湴鐞嗗鍩烘湰鐞嗚鐮旂┒,鍑虹増銆婂尯浣嶈銆嬬瓑3閮ㄨ憲浣�,鍙戣〃鈥滀笢鍖楀湴鍖哄煄甯備綋绯荤┖闂寸粨鏋勭殑鍒嗗舰鐮旂┒鈥濄�佲�滀汉鍦伴潪绾挎�х浉鍏充綔鐢ㄧ殑鎺㈣鈥濈瓑40浣欑瘒璁烘枃銆�
  • 鍩洪噾璧勫姪:
    *鍥藉鑷劧绉戝鍩洪噾(49771035);娌冲崡鐪佽嚜鐒剁瀛﹀熀閲�(974071200)

FRACTAL DIMENSIONS OF HIERARCHICAL STRUCTURE OF URBAN SYSTEMS AND THE METHODS OF THEIR DETERMINATION

Liu Jisheng1, Chen Yanguang2   

  1. 1. Department of Geography, Northeast Normal University, Changchun 130024;
    2. Department of Geography, Xinyang Normal College, Xinyang 464000
  • Received:1997-05-05 Revised:1997-12-22 Online:1998-03-15 Published:1998-03-15

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鎽樿锛� 鏂囩珷鎺㈣浜嗗煄闀囦綋绯荤瓑绾х粨鏋勭殑鍒嗗舰鐮旂┒鏂规硶銆傞鍏�,璁ㄨ浜嗗尯鍩熷煄闀囪妯″垎甯冪殑Zipf妯″瀷,骞堕�氳繃鍒嗗舰閫�鍖栧垎鏋愬皢鍏跺簲鐢ㄨ寖鍥村姞浠ユ嫇骞�,浠庤�屼笌闈炲垎褰㈢爺绌舵帴鍙�;绗簩,寮曡繘浜嗗垎褰㈢粨鏋勫洜瀛�,浠ユ寮�鍒涗簡鍩庨晣浣撶郴绛夌骇缁撴瀯鐨凢SF鍒嗘瀽;绗笁,鎻愬嚭浜嗚〃寰佸煄闀囦綋绯荤瓑绾у樊寮傜殑宸紓搴︽蹇靛拰搴﹂噺鏂规硶銆傛枃绔犵粰鍑哄疄渚嬭鏄庝簡鍚勭鏂规硶鐨勫簲鐢�,骞舵瘮杈冧簡涓夌鏂规硶鐨勫紓鍚屻��

鍏抽敭璇�: 鍩庨晣浣撶郴, 绛夌骇缁撴瀯, 瑙勬ā鍒嗗竷, 鍒嗗舰, 鍒嗙淮

Abstract: Three parameters were presented in the paper to characterize the hierarchical structure, especially size distribution of cities, of an urban system, including Zipf's dimension, fractal structure factor (FSF), and difference degree.1.Zipf's dimension.Zipf's law is very familiar to urban geographers, it is equivalent to Pareto's distribution and can be expressed mathematically as P(k)=P1K-q, where q is sometimes called Zipf's dimension, which is actually the reciprocal of fractal dimension, namely, q=1/D.2.FSF.The parameter is put forwards by two Chinese geo scientists and has been introduced to the studies of urban geography by the authors of the paper.FSF can be defined as I(r)=I0+DI lnr, where I(r) is information capacity of size distribution of cities corresponding to a certain scale (r, when r=1, I(r)=I0), and DI is what is called FSF.3.Difference degree.The parameter is given by the authors of the paper, it can be defined as follows: C=1-I/Imax, where I=- PilnPi, Imax=lnN, and PiP(k)/ P(k),P(k) is the population of the kth city of an urban system (k=1, 2, 鈥�, N).Difference degree C can be linked with fractal dimension D by means of Zipf's formula under some conditions.The geographical meanings of the three parameters were illuminated, the methods of using them were illustrated, in particular, the degenerational forms of Zipf's model were discussed so as to connect fractal studies with non-fractal studies of urban systems, and finally, a preliminary comparison was made between them.

Key words: urban system, hierarchical structure, city size distribution, fractal, fractal dimension

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