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Information Consistency-Based Measures for Spatial Stratified Heterogeneity

文献类型：期刊论文

作者Bai, Hexiang; Wang, Hui; Li, Deyu; Ge, Yong1
刊名ANNALS OF THE AMERICAN ASSOCIATION OF GEOGRAPHERS
出版日期2023-06-21
关键词mutual information relative entropy spatial heterogeneity spatial stratified heterogeneity >
ISSN号2469-4452
DOI10.1080/24694452.2023.2223700
产权排序2
文献子类Article ; Early Access
英文摘要As a typical form of spatial heterogeneity, spatial stratified heterogeneity is widely observed in geographical phenomena. Although the q statistic provides a measure of spatial stratified heterogeneity using variance differences, it is not suitable for nominal target variables and neglects information differences between strata at higher order moments. Based on the mutual information and relative entropy between variables, two spatial stratified heterogeneity measures are proposed for nominal and continuous target variables, respectively. Permutation tests are then used to determine their statistical significance. The proposed measures are suitable for either nominal or continuous target variables. They make no assumptions regarding the distribution of target variables, and return a value of zero only when the distribution of the target variable is independent of the explanatory variable. Experiments on five illustrative data sets and three publicly accessible data sets show that the proposed measures are consistent with the q statistic and can detect the existence of spatial stratified heterogeneity when the q statistic fails, so long as there are significant differences between the distributions in different strata.
WOS关键词GEOGRAPHICALLY WEIGHTED REGRESSION ; MUTUAL INFORMATION ; AUTOCORRELATION ; ASSOCIATION ; SELECTION ; BIOLOGY ; SCALE
WOS研究方向Geography
WOS记录号WOS:001032195200001
出版者ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD
源URL[http://ir.igsnrr.ac.cn/handle/311030/194375]  
专题资源与环境信息系统国家重点实验室_外文论文
作者单位1.Shanxi Univ, Sch Comp & Informat Technol, Taiyuan 030006, Shanxi, Peoples R China
2.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, State Key Lab Resources & Environm Informat Syst, Beijing 100045, Peoples R China
推荐引用方式
GB/T 7714		 Bai, Hexiang,Wang, Hui,Li, Deyu,et al. Information Consistency-Based Measures for Spatial Stratified Heterogeneity[J]. ANNALS OF THE AMERICAN ASSOCIATION OF GEOGRAPHERS,2023.
APA Bai, Hexiang,Wang, Hui,Li, Deyu,&Ge, Yong.(2023).Information Consistency-Based Measures for Spatial Stratified Heterogeneity.ANNALS OF THE AMERICAN ASSOCIATION OF GEOGRAPHERS.
MLA Bai, Hexiang,et al."Information Consistency-Based Measures for Spatial Stratified Heterogeneity".ANNALS OF THE AMERICAN ASSOCIATION OF GEOGRAPHERS (2023).

入库方式： OAI收割

来源：地理科学与资源研究所

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