可塑性面积单元问题(modifiable areal unit problem,MAUP) 效应是对空间数据分析结果产生不确定性影响的主要原因之一,在空间自相关分析中也不例外.本文分别利用网格模拟数据和中国人均GDP实例数据为数据源,以全局Moran's I 系数来探究空间自相关统计中的MAUP效应,分析结果表明,变量的空间自相关程度依赖于空间的粒度大小与单元的划分方法,但空间单元的变化与自相关性并不存在某种函数关系.因此,在进行空间自相关研究时必须选择合适的地理单元的粒度大小和分区.最后本文给出一种基于地统计内插方法来降低MAUP对空间自相关分析影响.
This research investigated the role of modifiable area unit problem (MAUP) in the spatial autocorrelation on data of per capita GDP of China and grid simulated data. The global Moran's I coefficient was used to explore the MAUP effect of spatial autocorrelation statistics. The results showed that the degree of spatial autocorrelation of variables depends on the size of spatial particles and zone designing methods. However, there is no determined function relationship between the change of spatial units and the autocorrelation. So, how to choose the appropriate size of geographical unit particles and zone designing are very important in the research of spatial autocorrelation. Finally, the study presented an approach based on geostatistical interpolation to decrease MAUP effect in spatial autocorrelation analysis.
[1] Li Shuangcheng, Cai Yunlong. Some scaling issues of geography. Geographical Research, 2005, 24(1): 11-18. [李双成,蔡运龙. 地理尺度转换若干问题的初步探讨. 地理研究, 2005, 24(1): 11-18.]
[2] Meng Bin, Wang Jingfeng. A review on the methodology of scaling with geo-data. Acta Geographica Sinica, 2005, 60(2): 277-288. [孟斌, 王劲峰. 地理数据尺度转换方法研究进展. 地理学报, 2005, 60(2): 277-288.]
[3] Kolaczyk E D, Huang H. Multiscale statistical models for the hierarchical spatial aggregation. Geographical Analysis,2001, 33(2): 95-118.
[4] Qi Ye, Wu Jianguo. Effects of changing spatial resolution on the results of landscape pattern analysis using spatialautocorrelation indices. Landscape Ecology, 1996, 11(2): 39-49.
[5] Jelinski D E, Wu J. The modifiable areal unit problem and implications for landscape ecology. Landscape Ecology,1996, 11: 129-140.
[6] Xu Jianhua, Yue Wenze, Tan Wenqi. A statistical study on spatial scaling effects of urban landscape pattern: A casestudy of the central area of the external circle highway in Shanghai. Acta Geographica Sinica, 2004, 59(6):1058-1067. [徐建华, 岳文泽, 谈文琦. 城市景观格局尺度效应的空间统计规律: 以上海中心城区为例. 地理学报,2004, 59(6): 1058-1067.]
[7] Xie Hualin, Liu Liming, Li Bo et al. Spatial autocorrelation analysis of multi-scale land-use changes: A case study inOngniud Banner, Inner Mongolia. Acta Geographica Sinica, 2006, 61(4): 389-400. [谢花林, 刘黎明, 李波等. 土地利用变化的多尺度空间自相关分析: 以内蒙古翁牛特旗为例. 地理学报, 2006, 61(4): 389-400.]
[8] Swift A, Liu L, Uber J. Reducing MAUP bias of correlation statistics between water quality and GI illness. Computers,Environment and Urban Systems, 2008, 32(2): 134-148.
[9] Butkiewicz T, Meentemeyer R K, Shoemaker D A et al. Alleviating the modifiable areal unit problem withinprobe-based geospatial analyses. Computer Graphics Forum, 2010, 29(3): 923-932.
[10] Viegas J M, Martinez L M, Silva E A. Effects of the modifiable areal unit problem on the delineation of trafficanalysis zones. Environment and Planning B: Planning & Design, 2009, 36(4): 625-643.
[11] Murray A T, Gottsegen J M. The influence of data aggregation on the stability of P-median location model solutions.Geographical Analysis, 1997, 29(3): 200-213.
[12] Openshaw S, Taylor P. A million or so correlation coefficients: Three experiments on the modifiable area unit problem//Wrigley N. Statistical Applications in the Spatial Sciences. London: Pion, 1979: 127-144.
[13] Openshaw S. The Modifiable Areal Unit Problem, Concepts and Techniques in Modern Geography. Norwich: GeoBooks, 1984.
[14] Tobler W. A computer movie simulating urban growth in the Detroit region. Economic Geography, 1970, 46(2):234-240.
[15] Goodchild. Spatial Autocorrelation (CATMOG47). Norwich, UK: Geobooks, 1986.
[16] Cliff A D, Ord J K. Spatial Process: Models and Applications. London: Pion, 1981: 35-41.
[17] Geary R C. The contiguity ratio and statistical mapping. The Incorporated Statistician, 1954, 5(3): 115-145.
[18] Getis A, Ord J K. The analysis of spatial association by use of distance statistics. Geographical Analysis, 1992, 24:189-206.
[19] Wang Jingfeng. Spatial Analysis. Beijing: Science Press, 2006: 76-84. [王劲峰. 空间分析. 北京: 科学出版社, 2006:76-84.]
[20] Wang Jinfeng, Haining R, Cao Z D. Sample surveying to estimate the mean of a heterogeneous surface: reducing theerror variance through zoning. International Journal of Geographical information Science, 2010, 24(4): 523-543.
[21] Wang Jingfeng, Christakos George, Hu Maogui. Modeling spatial means of surfaces with stratified nonhomogeneity.IEEE Transactions on Geoscience and Remote Sensing, 2009, 47(12): 4167-4174.
