Analysis of city centrality based on entropy weight TOPSIS and population mobility: A case study of cities in the Yangtze River Economic Belt

Jing LUO; Siyun CHEN; Xuan SUN; Yuanyuan ZHU; Juxin ZENG; Guangping CHEN

doi:10.1007/s11442-020-1740-9

Journals >Journal of Geographical Sciences >Volume 30 >Issue 4 >Page 515 > Article

Journal of Geographical Sciences
Vol. 30, Issue 4, 515 (2020)

Analysis of city centrality based on entropy weight TOPSIS and population mobility: A case study of cities in the Yangtze River Economic Belt

Jing LUO^1、2、3, Siyun CHEN^1、2、3, Xuan SUN^4、*, Yuanyuan ZHU^1、2、3, Juxin ZENG^1、2、3, and Guangping CHEN⁵

Author Affiliations

¹College of Public Administration, Central China Normal University, Wuhan 430079, China

²School of Management, Wuhan Institute of Technology, Wuhan 430205, China

³Department of Urban Planning and Design, University of Hong Kong, Hong Kong 999077, China

⁴Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing 100101, China

⁵School of Earth Sciences, Zhejiang University, Hangzhou 310027, China

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DOI: 10.1007/s11442-020-1740-9 Cite this Article

Jing LUO, Siyun CHEN, Xuan SUN, Yuanyuan ZHU, Juxin ZENG, Guangping CHEN. Analysis of city centrality based on entropy weight TOPSIS and population mobility: A case study of cities in the Yangtze River Economic Belt[J]. Journal of Geographical Sciences, 2020, 30(4): 515 Copy Citation Text

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Fig. 1. Location and administrative divisions of the Yangtze River Economic Belt

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Fig. 2. Scores and classes of city centrality in the Yangtze River Economic Belt

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Fig. 3. Clustering of city centrality of the Yangtze River Economic Belt

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Fig. 4. Hotspot analysis of city centrality of the Yangtze River Economic Belt

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Fig. 5. The top 5 factors influencing city centrality in the Yangtze River Economic Belt

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Fig. 6. Ranking of cumulative contributions of the top 5 indicators in the ranking of cities of different classes in the Yangtze River Economic Belt

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Fig. 7. Population inflows between cities in the Yangtze River Economic Belt (The above data are for 2016)

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Fig. 8. Population outflows between cities in the Yangtze River Economic Belt (the above data are for 2016)

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Fig. 9. The population flows into the Yangtze River Economic Belt from other parts of China (the above data are for 2016)

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Fig. 10. Population outflow from the Yangtze River Economic Belt to other parts of China (the above data are for 2016)

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Indicator	Symbol	Indicator	Symbol
Total permanent residential population	C1	Number of authorized patents	C10
GDP	C2	High-tech output value	C11
Added value of secondary and tertiary industries	C3	Number of high-speed railway and express railway stations	C12
Total fixed assets investment	C4	Number of civil airports	C13
Total retail sales of consumer goods	C5	Total amount of cargo transported	C14
Actual use of foreign investment	C6	Total number of passengers transported	C15
Amount of imports and exports	C7	Number of colleges and universities	C16
Tourism income	C8	Number of students in colleges and universities	C17
R&D expenditure	C9

Table 1.

Symbol of each indicator

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Indicators	Data sources
C1, C2, C3, C4, C5, C6, C14, C15, C16, C17	China Urban Statistical Yearbook (2017)
C1, C2, C3, C4, C5, C6, C7, C8, C9, C10, C11, C14, C15, C16, C17	Statistical Yearbooks (2017) of the cities in the YREB
C1, C2, C3, C4, C5, C6, C7, C8, C9, C10, C11, C14, C15, C16, C17	2016 National Economic and Social Development Statistics Bulletin of the cities in the YREB
C12	12306 China Railway (https://www.12306.cn/mormhweb/czyd_2143/)
C13	2016 Civil Aviation Airport Production Statistics Bulletin of China (http://www.caac.gov.cn/XXGK/XXGK/TJSJ/201702/t20170224_42760.html)

Table 2.

Data sources for indicators

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Indicator	Weight	Indicator	Weight
C1	0.0691	C10	0.0572
C2	0.1039	C11	0.0708
C3	0.0781	C12	0.0480
C4	0.0581	C13	0.0403
C5	0.0659	C14	0.0408
C6	0.0654	C15	0.0423
C7	0.0514	C16	0.0527
C8	0.0363	C17	0.0616
C9	0.0581	—	—

Table 3.

Weight of each indicator

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Classification	Correlation coefficient	P
The correlation coefficient between population inflows and the centrality scores of cities in the YREB	0.9030	8.56E-49
The correlation coefficient between populationoutflows and the centrality scores of cities in the YREB	0.9257	6.66E-56
The correlation coefficient between population entering the YREB from other cities in China and the centrality scores of cities in the YREB	0.9508	5.48E-67
The correlation coefficient between population flowing out of the YREB to other cities in China and the centrality scores of cities in the YREB	0.8613	1.84E-39

Table 4.

The correlation coefficient between population flows and the centrality scores of cities in the Yangtze River Economic Belt

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The source city for population inflow from first-class cities		The source city for population inflow from second-class cities		The source city for population inflow from third-class cities		The source city for population inflow from fourth-class cities		The source city for population inflow for fifth-class cities
Class	Proportion (%)	Class	Proportion (%)	Class	Proportion (%)	Class	Proportion (%)	Class	Proportion (%)
First	55.01	First	35.85	Second	43.09	Second	33.81	First	43.15
Second	23.65	Third	23.43	First	28.25	First	31.06	Fourth	22.34
Fourth	13.78	Second	19.91	Third	14.86	Fourth	18.83	Second	19.76
Fifth	4.96	Fourth	17.71	Fourth	12.20	Third	11.58	Fifth	8.38
Third	2.59	Fifth	3.10	Fifth	1.60	Fifth	4.73	Third	6.38

Table 5.

The source city for population inflow from different classes of city in the Yangtze River Economic Belt

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The destination city for the population outflow from first-class cities		The destination city for the population outflow from second-class cities		The destination city for the population outflow from third-class cities		The destination city for the population outflow from fourth-class cities		The destination city for the population outflow from fifth-class cities
Class	Proportion (%)	Class	Proportion (%)	Class	Proportion (%)	Class	Proportion (%)	Class	Proportion (%)
First	42.39	First	42.39	Second	38.11	Second	28.49	First	36.00
Second	22.47	Second	22.47	First	23.55	First	26.60	Fourth	28.46
Fourth	21.68	Fourth	21.68	Fourth	18.50	Fourth	25.50	Second	17.40
Fifth	7.91	Fifth	7.91	Third	17.85	Third	13.27	Fifth	10.48
Third	5.55	Third	5.55	Fifth	2.00	Fifth	6.15	Third	7.66

Table 6.

The destination city for the population outflow from different classes of city in the Yangtze River Economic Belt

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Source area of the population inflow for first-class cities		Source area for the population inflow for second-class cities		Source area for the population inflow for third-class cities		Source area for the population inflow for fourth-class cities		Source area for the population inflow for fifth-class cities
Area Proportion (%)		Area Proportion (%)		Area Proportion (%)		Area Proportion (%)		Area Proportion (%)
Guangdong	45.32	Beijing	44.73	Guangdong	61.27	Guangdong	59.70	Guangdong	55.08%
Beijing	34.38	Guangdong	39.68	Beijing	29.68	Beijing	25.77	Beijing	33.12
Jilin	4.50	Guangxi	4.51	Henan	3.11	Fujian	5.43	Fujian	3.45
Hainan	4.45	Jilin	3.62	Fujian	1.77	Guangxi	2.63	Henan	2.49
Shaanxi	3.45	Shandong	2.00	Shandong	1.25	Henan	2.06	Tibet	1.46
Tianjin	3.06	Henan	1.36	Shaanxi	0.68	Shaanxi	0.98	Hainan	1.43
Liaoning	1.54	Tianjin	1.21	Heilongjiang	0.38	Hainan	0.93	Guangxi	0.77
Hong Kong	1.54	Shaanxi	1.12	Guangxi	0.38	Tianjin	0.91	Shandong	0.75
Fujian	0.79	Hainan	0.87	Liaoning	0.38	Hebei	0.42	Shaanxi	0.59
Tibet	0.72	Hebei	0.32	Tianjin	0.34	Liaoning	0.41	Tianjin	0.23
Shandong	0.14	Heilongjiang	0.26	Jilin	0.19	Tibet	0.23	Hebei	0.22
Inner Mongolia	0.11	Inner Mongolia	0.14	Hainan	0.14	Shandong	0.19	Liaoning	0.14
—	—	Gansu	0.11	Gansu	0.14	Jilin	0.13	Jilin	0.12
—	—	Liaoning	0.07	Tibet	0.14	Gansu	0.10	Gansu	0.08
—	—	—	—	Ningxia	0.10	Shanxi	0.03	Xinjiang	0.04
—	—	—	—	Hebei	0.04	Heilongjiang	0.03	Shanxi	0.04
—	—	—	—	Shanxi	0.01	Inner Mongolia	0.03	—	—
—	—	—	—	Qinghai	0.01	Macao	0.03	—	—

Table 7.

Source areas (outside the YREB) for population inflow for different classes of city in the Yangtze River Economic Belt

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Destination area for the first-class city outflow population		Destination area for the second-class city outflow population		Destination area for the third-class city outflow population		Destination area for the fourth-class city outflow population		Destination area for the fifth-class city outflow population
Area proportion (%)		Area proportion (%)		Area proportion (%)		Area proportion (%)		Area proportion (%)
Guangdong	37.59	Beijing	49.46	Guangdong	43.24	Guangdong	47.26	Guangdong	46.21
Beijing	37.18	Guangdong	32.44	Beijing	40.21	Beijing	31.46	Beijing	38.21
Hainan	5.16	Guangxi	3.59	Henan	7.17	Fujian	5.57	Fujian	4.13
Jilin	3.94	Henan	3.52	Shandong	2.09	Henan	4.89	Henan	4.09
Tianjin	3.91	Shandong	3.28	Shaanxi	1.22	Guangxi	3.51	Shandong	1.65
Shaanxi	3.33	Jilin	3.12	Fujian	1.20	Shaanxi	2.17	Tibet	1.61
Hong Kong	2.33	Shaanxi	1.07	Jilin	0.96	Tianjin	1.39	Hainan	1.13
Shandong	2.30	Tianjin	0.89	Heilongjiang	0.82	Hainan	1.04	Shaanxi	1.10
Liaoning	1.79	Fujian	0.79	Guangxi	0.81	Shandong	0.71	Guangxi	0.99
Tibet	1.48	Hebei	0.49	Liaoning	0.63	Liaoning	0.67	Tianjin	0.49
Fujian	0.85	Hainan	0.48	Tianjin	0.60	Hebei	0.54	Shanxi	0.18
Inner Mongolia	0.14	Heilongjiang	0.45	Tibet	0.31	Tibet	0.34	Hebei	0.10
—	—	Inner Mongolia	0.24	Gansu	0.24	Gansu	0.22	Gansu	0.07
—	—	Liaoning	0.17	Hebei	0.21	Jilin	0.11	Liaoning	0.04
—	—	—	—	Hainan	0.19	Inner Mongolia	0.05	Ningxia	0.01
—	—	—	—	Hong Kong	0.10	Heilongjiang	0.05	—	—
—	—	—	—	Shanxi	0.01	Macao	0.03	—	—
—	—	—	—	—	—	Shanxi	0.02	—	—