文章针对局部Moran’s I值的计算公式,通过选取不同的尺度d,采用三种不同的标准化处理方法构造出不同的空间距离权重矩阵,求得相应的局部Moran’s I值。最后基于尺度的变化,对局部Moran’s I值进行显著性检验,检验结果表明尺度变化对局部Moran’s I值的变化的影响是显著的,证明了局部Moran’s I的值对尺度具有依赖性。
The paper focuses on the calculation formula of local Moran’s I, and uses three standardized processing methods to construct different spatial distance weighted matrix by choosing different scale d, thus the corresponding values of local Moran’s I are obtained. Lately, the significance testing of local Moran’s I is proceeded based on changeable scales, and the testing result is positive. So, the values local Moran’s I are dependent on scale.
局部Moran’s I,空间距离权重矩阵,标准化方法,尺度依赖性, Local Moran’s I Spatial Distance Weighted Matrix Standardized Methods Scale Dependence局部Moran’s I的尺度依赖性
冯金杰,张辉国,胡锡健. 局部Moran’s I的尺度依赖性 The Scale Dependence of the Local Moran’s I[J]. 统计学与应用, 2015, 04(03): 162-168. http://dx.doi.org/10.12677/SA.2015.43018
参考文献 (References)ReferencesAnselin, L. (1995) Local indicators of spatial association—LISA. Geographical Analysis, 27, 93-115.
<br>http://dx.doi.org/10.1111/j.1538-4632.1995.tb00338.xCliff, A.D. and Ord, J.K. (1972) Testing for spatial autocorrelation among regression residuals. Geographical Analysis, 4, 267-284. <br>http://dx.doi.org/10.1111/j.1538-4632.1972.tb00475.xOrd, J.K. and Getis, A. (2001) Testing for local spatial autocorrelation in the presence of global autocorrelation. Regional Science, 41, 411-432.Assuncao, R. and Reis, E. (1999) A new proposal to adjust Moran’s I for population density. Statistic in Medicine, 18, 2147-2162. <br>http://dx.doi.org/10.1002/(SICI)1097-0258(19990830)18:16<2147::AID-SIM179>3.0.CO;2-ICliff, A.D. and Ord, J.K. (1981) Spatial processes: Models and applications. London.李海萍 (2009) 空间统计分析中的MAUP及其影响. 统计与决策, 22, 15-17.Tiefelsdorf, M. (1998) Some practical applications of Moran’s I exact conditional distribution. Papers in Regional Science.Tiefelsdorf, M. and Boots, B.N. (2005) The exact distribution of Moran’s I. Environment and Planning, 27, 985-999.徐彬 (2007) 空间权重矩阵对Moran’s I指数影响的模拟分析. 南京师范大学, 南京.Tiefelsdorf, M. and Boots, B.N. (1997) A note on the extremities of local Moran’s I and their impact on global Moran’s I. Geographical Analysis, 29, 248-257. <br>http://dx.doi.org/10.1111/j.1538-4632.1997.tb00960.x