Mapping the results of local statistics: Using geographically weighted regression

BACKGROUND The application of geographically weighted regression (GWR) - a local spatial statistical technique used to test for spatial nonstationarity - has grown rapidly in the social, health, and demographic sciences. GWR is a useful exploratory analytical tool that generates a set of location-sp...

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Main Authors: Stephen A. Matthews, Tse-Chuan Yang
Format: Article
Language:English
Published: Max Planck Institute for Demographic Research 2012-03-01
Series:Demographic Research
Online Access:http://www.demographic-research.org/volumes/vol26/6/
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author Stephen A. Matthews
Tse-Chuan Yang
author_facet Stephen A. Matthews
Tse-Chuan Yang
author_sort Stephen A. Matthews
collection DOAJ
description BACKGROUND The application of geographically weighted regression (GWR) - a local spatial statistical technique used to test for spatial nonstationarity - has grown rapidly in the social, health, and demographic sciences. GWR is a useful exploratory analytical tool that generates a set of location-specific parameter estimates which can be mapped and analysed to provide information on spatial nonstationarity in the relationships between predictors and the outcome variable. OBJECTIVE A major challenge to users of GWR methods is how best to present and synthesize the large number of mappable results, specifically the local parameter parameter estimates and local t-values, generated from local GWR models. We offer an elegant solution. METHODS This paper introduces a mapping technique to simultaneously display local parameter estimates and local t-values on one map based on the use of data selection and transparency techniques. We integrate GWR software and GIS software package (ArcGIS) and adapt earlier work in cartography on bivariate mapping. We compare traditional mapping strategies (i.e., side-by-side comparison and isoline overlay maps) with our method using an illustration focusing on US county infant mortality data. CONCLUSIONS The resultant map design is more elegant than methods used to date. This type of map presentation can facilitate the exploration and interpretation of nonstationarity, focusing map reader attention on the areas of primary interest.
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spelling doaj.art-530a7e49f6c94b479217956cda2a764f2022-12-22T02:51:03ZengMax Planck Institute for Demographic ResearchDemographic Research1435-98712012-03-01266Mapping the results of local statistics: Using geographically weighted regressionStephen A. MatthewsTse-Chuan YangBACKGROUND The application of geographically weighted regression (GWR) - a local spatial statistical technique used to test for spatial nonstationarity - has grown rapidly in the social, health, and demographic sciences. GWR is a useful exploratory analytical tool that generates a set of location-specific parameter estimates which can be mapped and analysed to provide information on spatial nonstationarity in the relationships between predictors and the outcome variable. OBJECTIVE A major challenge to users of GWR methods is how best to present and synthesize the large number of mappable results, specifically the local parameter parameter estimates and local t-values, generated from local GWR models. We offer an elegant solution. METHODS This paper introduces a mapping technique to simultaneously display local parameter estimates and local t-values on one map based on the use of data selection and transparency techniques. We integrate GWR software and GIS software package (ArcGIS) and adapt earlier work in cartography on bivariate mapping. We compare traditional mapping strategies (i.e., side-by-side comparison and isoline overlay maps) with our method using an illustration focusing on US county infant mortality data. CONCLUSIONS The resultant map design is more elegant than methods used to date. This type of map presentation can facilitate the exploration and interpretation of nonstationarity, focusing map reader attention on the areas of primary interest.http://www.demographic-research.org/volumes/vol26/6/
spellingShingle Stephen A. Matthews
Tse-Chuan Yang
Mapping the results of local statistics: Using geographically weighted regression
Demographic Research
title Mapping the results of local statistics: Using geographically weighted regression
title_full Mapping the results of local statistics: Using geographically weighted regression
title_fullStr Mapping the results of local statistics: Using geographically weighted regression
title_full_unstemmed Mapping the results of local statistics: Using geographically weighted regression
title_short Mapping the results of local statistics: Using geographically weighted regression
title_sort mapping the results of local statistics using geographically weighted regression
url http://www.demographic-research.org/volumes/vol26/6/
work_keys_str_mv AT stephenamatthews mappingtheresultsoflocalstatisticsusinggeographicallyweightedregression
AT tsechuanyang mappingtheresultsoflocalstatisticsusinggeographicallyweightedregression