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Remote Sensing for Land & Resources    2018, Vol. 30 Issue (1) : 233-237     DOI: 10.6046/gtzyyg.2018.01.32
Orginal Article |
GIS based research on the spatial distribution of population density in illegal buildings in Shenzhen City
Rui LIU1,2(), Xu JIANG1,2, Jing ZHAO1,2, Yunfan LI3
1. Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China
2. Center for Assessment and Development of Real Estate, Shenzhen 518040, China
3. Yangze River Scientific Research Institute, Wuhan 430010, China
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Abstract  

To study the spatial distribution of population density in illegal buildings in Shenzhen, the authors used GIS technologies such as spatial autocorrelation analysis method and regression analysis method. Spatial autocorrelation analysis method was used to study the spatial distribution pattern of the population density in illegal buildings in Shenzhen. Both monocentric population density models and multi-centric population density models were fitted by regression analysis method. The study results show that the spatial clustering pattern of the population density is existent according to the global Moran' s I index, and the area joining the Futian, Luohu and Longhua district is the hot spot area according to the Local Moran’s I and Getis-Ord Gi* index. The fitting results show that, among all the population density models, the quadratic exponential model can best describe population density distribution in illegal buildings of Shenzhen, while the overall fitting results of multi-centric models are at low level, which shows that the multiple centers fail to form the population in illegal buildings. The quadratic exponential model can not only obtain the best result from statistical point of view but also verify that it fits the crator theory well with rent data of illegal buildings.
Keywords population density      spatial distribution      model fitting      illegal buildings      Shenzhen     
:  TP79  
Issue Date: 08 February 2018
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Rui LIU
Xu JIANG
Jing ZHAO
Yunfan LI
Cite this article:   
Rui LIU,Xu JIANG,Jing ZHAO, et al. GIS based research on the spatial distribution of population density in illegal buildings in Shenzhen City[J]. Remote Sensing for Land & Resources, 2018, 30(1): 233-237.
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https://www.gtzyyg.com/EN/10.6046/gtzyyg.2018.01.32     OR     https://www.gtzyyg.com/EN/Y2018/V30/I1/233
Fig.1  Distribution map of street district population density in illegal buildings,2014
Fig.2  Image of the local Moran’s I index result
Fig.3  Image of the Getis-Ord Gi* index result
圈层
序号		 圈层
距离/km		 圈层内
面积/km2		 圈层内违建
人口数		 违建人口
密度/(人·km-2)
1 [0,5) 51.438 490 848 9 542.517
2 [5,10) 120.590 985 884 8 175.504
3 [10,15) 197.698 1 258 138 6 363.939
4 [15,20) 273.947 1 695 969 6 190.865
5 [20,25) 291.785 1 509 135 5 172.079
6 [25,30) 273.569 1 049 723 3 837.142
7 [30,35) 274.479 1 633 601 5 951.643
8 [35,40) 247.741 1 199 962 4 843.615
9 [40,45) 119.997 43 979 366.501
10 [45,50) 78.897 2 239 28.379
11 [50,55] 32.745 288 8.795
Tab.1  Matrix about population density in illegal buildings and distance in Shenzhen
序号 模型名称 公式 结果 R2
1 负指数模型 D(r)=D0e-br D(r)=59 729.73e-0.120 9r 0.631 4
2 正态密度模型 D(r)=D0e-br2 D(r)=19 447.84e-0.002 179r2 0.803 7
3 二次指数模型 D(r)=D0ebr-cr2 D(r)=2 037.784e0.190 882r-0.005 197r2 0.886 1
4 加幂指数模型 D(r)=D0e-brσ D(r)=8 615.662 37e-0.000 361 865r2.090 357 0.829 3
5 对数正态分布 D(r)=D0e-b(lnr)2 D(r)=127 744.2e-0.408 3(lnr)2 0.463 0
6 线性模型 D(r)=a+br D(r)=10 052.65-182.12r 0.849 0
7 对数模型 D(r)=a+blnr D(r)=16 888.9 -3 843lnr 0.752 0
8 反函数模型 D(r)=a+br-1 D(r)=2 098.1+45 368.4r-1 0.520 7
9 负幂指数模型 D(r)=Kr-a D(r)=16 200 889r*2.164 9 0.369 3
10 Gamma模型 D(r)=Kr-ae-br D(r)=33.8143 4r3.890 68e-0.286 79r 0.759 6
Tab.2  Model fitting results of monocentric population density in illegal buildings
Fig.4  Contours of population density in illegal buildings in Shenzhen, 2014
序号 模型名称 公式 结果 R2
1 Heikkila模型1 D=aiebiri D=7 763.278e-0.061 79ri 0.174 8
2 Heikkila模型2 D=AΠi=1nebiri D=13 360.26e-0.125 68r1e0.107 71r2e-0.196 02r3e0.147 44r4 0.245 3
3 Heikkila模型3 D=∑i=1naiebiri D=15 600.127 3e-0.752 601r1+7 586.696 44e-0.018 953r2 0.472 1
4 王法辉模型 D=Aeb1r1eb2r2 D=5 158.288e-0.155 28r1e0.086 03r2 0.217 5
Tab.3  Model fitting results of multi-centric population density in illegal buildings
圈层
序号		 圈层
距离/km		 租赁面积
总和/hm2		 租金总额/
万元		 租金/
(元·m-2)
1 [0,5) 14.22 734.96 51.67
2 [5,10) 19.65 632.55 32.19
3 [10,15) 66.18 615.51 9.30
4 [15,20) 95.02 775.68 8.16
5 [20,25) 150.83 1 072.03 7.11
6 [25,30) 48.94 359.12 7.34
7 [30,35) 136.35 967.71 7.10
8 [35,40) 85.44 670.59 7.85
9 [40,45) 6.13 64.91 10.60
10 [45,50) 0.18 1.09 6.13
11 [50,55] 0 0 0
Tab.4  Rent information of illegal buildings inside different zones in Shenzhen
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