(1) ( 1965 ),, 1952 [9] 2.1 (2) 1 53 (E i ), 2 (P i ) (G E (G P, 31 (Q i ) 3, : G E (x,y)= (E i Q(x i, y i )) E i G P (x,y)=

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1 PROGRESS IN GEOGRAPHY Vol.29, No.1 Jan., ,2 1,2 (1., ; 2., ) :, ,, U, 1952, : ; ; ; ; 1 [8] 50,, 20 50, 53,,,, 3 : 30, GDP (1) % %, : 34% 36%, (2), [1-2], W. U 1978 [3] [4],, (3), [6] [6], [7], : ; : ( ) : (1961- ), fanj@igsnrr.ac.cn 087~095

2 (1) ( 1965 ),, 1952 [9] 2.1 (2) 1 53 (E i ), 2 (P i ) (G E (G P, 31 (Q i ) 3, : G E (x,y)= (E i Q(x i, y i )) E i G P (x,y)= (P i Q(x i, y i )) P i 12, (3) 1980,,,1990, Fig.1 The center of economic gravity and population gravity of China from 1952 to ,1990,2000 3

3 1 : 89,, [10] 2.3 (1) km 2, ;, 430 : km 2, S=d GE G P = 姨 (x E -x P ) 2 +(y E -y P ) 2 (2),, ;1962 θ,θ θ 0 ~180,, 30 (C),, C=1,C=-1 (3) , Δx Δy, :, C=cosθ = (Δx E +ΔyE )+(ΔxP +ΔyP )-[(ΔxE -Δx P ) 2 +(Δy E -Δy P ) 2 ] (Δx E +ΔyE )(ΔxP +ΔyP ) 3 (Δx = E Δx P )+Δy E Δy P ] 姨 (Δx E +ΔyE )(ΔxP +ΔyP ) 3.1 ( 2) 6 姨

4 90 29, GDP, GDP,, 1952 GDP, ( ) ( 3) pearson,, ( ),,53 4,, 1, Tab.1 Evolution stages of the coupling process of the CEG, and CPG in China,,,,,,,,,, km km km km km km GDP Fig.3 Curves of overlapping of two centers of gravity, coefficient of variation, and Gini index of GDP per-capita

5 1 : E P,,,, ( 5a) (ΔE P ) (2) II:, : 0,, ( 4) 4. 3 W R, W G ΔE P E k : W R <W G,,,, (ΔE P ) (E k ) : ΔE P =ΔE P +E k =ΔE P +W G -W R : ΔE P,E k,w G ( ),W R ( ),W R,W R, : (1) I: W R 0 W R ΔE P E k,, ;, ΔE P 4 Fig.4 The regional potential energy difference between the distribution of economy and population

6 92 29 ; W R =W G,, ; W R >W G,, ;,,,,,, ( 5b) (3) III: :, W, R,,,, (2) U ( 5c) 4.4 U, U,,, U ( 5),,,, U (W R ) U U,, U ( ), U (1), ( 6) [11] 5,,,,,, (W R ) ;, ( 2) ( 3)

7 1 : 93, U,,, 2, 5.1, U ( 2) ,, 1952, 1962,, 1975,,, 1990, ,, 21, , 3, III, 1, 156,,, 2,,, U, Fig.6 multistage inverted-u-curve evolution law of 3 the spatial equilibrium of regional development 2 Tab.2 Stages of the spatial equilibrium process of regional development and their attributes!"#wá$ 23 #%&-1952 $ ()*+, -. /01 %& ()4-. /56 89:;<= > 2 III 7 2D ()4-. /01?.@ ABC 2 III ()E-. /56 GHIJ KL. 2 II 7 2M ()F-. /01 A+, 2 II AN ()O%. /56 2 III 7

8 94 29,,,,, 5.3.2,, (1) ,,, III, , ,,, ;, [12],,,, (2) , II 6, (1),,, 1980,, 10 (2) :,,, (3), ,,, 1990,, U,, (4) ,, 3,, 3 ;, U

9 1 : 95 [5],. 20,., 2001, 21(5): 385~389. [6], :., 2005, 81(1): 117~120. [7],. 50 (5)., 2005, 24(1): 12~16. [8],,.., 2006, 26(6): 978~981., [9],. 1952~2003., 2005, 24(1): 21~30. [10]..,,, 1997, 16(3): 8~15. [11].., 2007,, 62(4): 339~348. [12].. : [1], 2009, 28(1): 1~8., [13] :... :, [14],,. [2],,,.., 2002, 21(1): 73~80.., 2009, 28(1): 111~118. [15],.. [3], W.., 1999, 18(4): 287~295.., 1996, 51(5): 398~407. [16]. [4], :, , 2006, 26(2): [17]., : 249~254., The Coupling Mechanism of the Centroids of Economic Gravity and Population Gravity and Its Effect on the Regional Gap in China FAN Jie 1, TAO Anjun 1,2, LV Chen 1,2 (1. Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing , China; 2. Graduate University of Chinese Academy of Sciences, Beijing , China) Abstract: Regional gap is an important problem that the regional development of China is facing. The distribution of economy and population, as an embodiment of the spatial equilibrium process of regional development, has a close relation with the state of regional gap. Using gravity models, it works out the center of economic gravity and population gravity (abbr. CEG and CPG), illustrates the coupling process by measuring the overlapping of two centers of gravity and the consistency of their movement, and proves that the coupling process has a high correlation with the evolution of regional gap. Then, a model of the coupling mechanism of CEG and CPG is built. Based on the model, it illustrates the spatial equilibrium process of regional development by the transition of equilibrium location and the conversion of regional potential energy difference, and reveals how the internal and external factors affect the process. Therefore, the authors advance a multistage inverted-u-curve evolution law of regional gap. Finally, it analyses the mechanism of the periodic variation of regional gap in China since 1952, and brings up a discussion of the path to coordinating the regional development of China. Key words: center of economic gravity; center of population gravity; regional development; regional gap; spatial equilibrium; China :,,.., 2010,29(1):87-95.

by industrial structure evolution from 1952 to 2007 and its influence effect was first acceleration and then deceleration second the effects of indust

by industrial structure evolution from 1952 to 2007 and its influence effect was first acceleration and then deceleration second the effects of indust 2011 2 1 1 2 3 4 1. 100101 2. 100124 3. 100039 4. 650092 - - - 3 GDP U 20-30 60% 10% TK01 A 1002-9753 2011 02-0042 - 10 Analysis on Character and Potential of Energy Saving and Carbon Reducing by Structure