|
|
- 2017
一种空间权重矩阵的优化方法
|
Abstract:
在地理学空间自相关的分析中，权重矩阵对整个分析结果有着较大影响。常见的权重矩阵，例如车矩阵、皇后矩阵、距离权重矩阵和k-邻近矩阵，都有各自的优势和缺点。提出了一种基于长度面积比例的空间权重矩阵（ratio of length and area，RLA），并以近年来危害最大的几种传染病之一——病毒性肝炎在中国大陆各省份的发病率为例进行了实验分析。实验结果表明，RLA矩阵能够很好地实现空间权重矩阵的基本功能，是常见的车矩阵的一种更为广义的定义，并且可以更加自由地实现空间自相关的分析。利用本空间权重矩阵能够更好地模拟不同地理单元之间的邻接关系，为流行病的预防提供支持
| [1] | Anselin L, Rey S. Properties of Tests for Spatial Dependence in Linear Regression Models[J]. <em>Geographical Analysis</em>, 1991, 23(2): 112-131 |
| [2] | Anselin L, Syabri I, Kho Y. GeoDa: An Introduction to Spatial Data Analysis[J]. <em>Geographical Analysis</em>, 2006, 38(1): 5-22 |
| [3] | Chen J, Hill A A, Urbano L D. A GIS-based Model for Urban Flood Inundation[J]. <em>Journal of Hydrology</em>, 2009, 373(1): 184-192 |
| [4] | Yilma J M, Malone J B. A Geographic Information System Forecast Model for Strategic Control of Fasciolosis in Ethiopia[J]. <em>Veterinary Parasitology</em>, 1998, 78(2): 103-127 |
| [5] | Kristensen T K, Malone J B, McCarroll J C. Use of Satellite Remote Sensing and Geographic Information Systems to Model the Distribution and Abundanceof Snail Intermediate Hosts in Africa: A Preliminary Model for Biomphalaria Pfeifferi in Ethiopia[J]. <em>Acta Tropica</em>, 2001, 79(1): 73-78 |
| [6] | Feng Xin, Du Shihong, Shu Hong. Influence of Spatial Weight Matrices on Spatial Autocorrelation: A Case Study of HFRS in China[J]. <em>Geomatics and Information Science of Wuhan University, </em>2011, 36(12): 1 410-1 413(冯昕, 杜世宏, 舒红. 空间权重矩阵对空间自相关的影响分析——以我国肾综合征出血热疾病为例[J]. 武汉大学学报·信息科学版, 2011, 36(12): 1 410-1 413) |
| [7] | Lai Shengjie, Liao Yilan, Zhang Honglong, et al. Comparing the Performance of Temporal Model and Temporal-spatial Model for Outbreak Detection in China Infectious Diseases Automated-Alert and Response System, 2011-2013, China[J]. <em>Chinese Journal of Preventive Medicine, </em>2014, 48(4) :259-264 (赖圣杰, 廖一兰, 张洪龙, 等. 2011-2013 年国家传染病自动预警系统中时间模型和时空模型应用效果比较[J]. 中华预防医学杂志, 2014, 48(4):259-264) |
| [8] | Buckeridge D L, Okhmatovskaia A, Tu S, et al. Understanding Detection Performance in Public Health Surveillance: Modeling Aberrancy-Detection Algorithms[J]. <em>Journal of the American Medical Informatics Association</em>, 2008, 15(6): 760-769 |
| [9] | Noufaily A, Enki D G, Farrington P, et al. An Improved Algorithm for Outbreak Detection in Multiple Surveillance Systems[J]. <em>Statistics in Medicine</em>, 2013, 32(7): 1 206-1 222 |
| [10] | She Bing, Zhu Xinyan, Su Kehua, et al. Test Methods for Space-Time Interaction of Events Under Road Network Constraints[J]. <em>Geomatics and Information Science of Wuhan University, </em>2015, 40(3):353-356(佘冰, 朱欣焰, 苏科华, 等. 道路网约束下的事件时空交互检验方法研究[J]. 武汉大学学报·信息科学版, 2015, 40(3): 353-356) |
| [11] | Gao Fenghua, Feng Qianjin, Jiang Lifeng, et al. Analysis on Epidemic of Legal Infectious Diseases of Mailand China[J]. <em>Modern Preventive Medicine</em>, 2013, 4(4): 756-759(高风华, 冯谦谨, 江丽凤, 等. 中国大陆2002-2010 年法定传染病疫情分析 [J]. 现代预防医学, 2013, 4(4): 756-759) |
| [12] | Du Juan, Guan Zequn. A Review of the Applications of Spatial Analysis in Epidemiology[J]. <em>Modern Preventive Medicine</em>, 2007, 34(9): 3 691-3 698(杜娟,关泽群. GIS在流行病学研究中的应用[J].现代预防医学, 2007, 34(9): 3 691-3 698) |
| [13] | Yang Xunfeng, Li Lianfa, Wang Jinfeng, et al. The Use of Generalized Additive Model in Association of Temperature and Cardiovascular Mortality in Anhui[J]. <em>Journal of Geo-information Science</em>, 2015, 17(11): 1 388-1 394 (杨勋凤, 李连发, 王劲峰, 等. 安徽省温度与心脑血管疾病死亡关系的广义叠加模型分析[J]. 地球信息科学学报, 2015, 17(11): 1 388-1 394) |
| [14] | Brownstein J S, Freifeld C C, Madoff L C. Digital Disease Detection-Harnessing the Web for Public Health Surveillance[J]. <em>New England Journal of Medicine, </em>2009, 360(21): 2 153-2 157 |
| [15] | Song Yongze, Ge Yong, Peng Junhuan, et al. Application of Genetic Programming on Predicting andMapping Malaria in Anhui Province[J]. <em>Journal of Geo-information Science</em>, 2015, 17(8): 954-962 (宋泳泽, 葛咏, 彭军还, 等. 疟疾预测的遗传规划方法与应用——以安徽省县 (市) 疟疾发病率为例[J]. 地球信息科学学报, 2015, 17(8): 954-962) |
| [16] | Fang Liqun. Study on Spatiotemporal Distribution and Environmental Risk Factors of Hemorrhagic Fever with Renal Syndrome[D]. Beijing: Academy of Military Medical Sciences, 2009(方立群. 肾综合征出血热时空分布及环境危险因素研究[D]. 北京: 中国人民解放军军事医学科学院,2009) |
| [17] | Ma Hongchao, Li Dren. Geographic Window Fixing and Its Application Based on Spatial Statistics[J]. <em>Geomatics and Information Science of Wuhan University, </em>2001, 26(1):18-23(马洪超, 李德仁. 基于空间统计学的空间数据窗口大小的确定[J]. 武汉大学学报·信息科学版, 2001, 26(1): 18-23) |
| [18] | Moran P A P. Notes on Continuous Stochastic Phenomena[J]. <em>Biometrika</em>, 1950: 17-23 |
| [19] | Chen Fei, Du Daosheng. Application of the Integration of Spatial Statistical Analysis with GIS to the Analysis of Regional Economy[J]. <em>Geomatics and Information Science of Wuhan University, </em>2002, 27(4): 391-396(陈斐, 杜道生. 空间统计分析与 GIS 在区域经济分析中的应用[J]. 武汉大学学报·信息科学版, 2002, 27(4): 391-396) |
| [20] | Amaral P V, Anselin L. Finite Sample Properties of Moran's I Test for Spatial Autocorrelation in Tobit Models[J]. <em>Papers in Regional Science</em>, 2014, 93(4): 773-781 |
| [21] | Guan X, Jin X, Pan Q, et al. Analysis on Spatial Difference of Newly Increased Farmland by Land Consolidation in China at County Level[J]. <em>Transactions of the Chinese Society of Agricultural Engineering</em>, 2013, 29(20): 226-233 |
| [22] | Anselin L. Local Indicators of Spatial Association-LISA[J]. <em>Geographical Analysis</em>, 1995, 27(2): 93-115 |
