Difference between revisions of "Lesson07"
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− | <font size="6">''' | + | <font size="6">'''Modelling Spatial Varying Relationship: Geographically Weighted Regression methods'''</font> |
=Content= | =Content= | ||
− | * Basic concepts of | + | * Granddaddy of All Models: Multiple Regression |
− | * | + | * Basic concepts of Spatial Non-stationary |
− | * | + | * Geographically Weighted Regression (gwr) Methods |
− | ** | + | ** Basic principles and concepts |
− | ** | + | ** Distance matrix, kernel and bandwidth |
− | ** | + | ** Basic grw |
+ | ** Beyond basic grw | ||
+ | ** GW regression and addressing local collinearity | ||
− | = | + | =Must do= |
− | + | Read: | |
+ | * Brunsdon, C., Fotheringham, A.S., and Charlton, M. (2002) “Geographically weighted regression: A method for exploring spatial nonstationarity”. Geographical Analysis, 28: 281-289. | ||
− | + | * Gollini I, Lu B, Charlton M, Brunsdon C, Harris P (2015) "GWmodel: an R Package for exploring Spatial Heterogeneity using Geographically Weighted Models". *Journal of Statistical Software*, 63(17):1-50, [http://www.jstatsoft.org/v63/i17/] Section 1, 2, 3, 6 and 8. | |
− | |||
− | + | =In-Class Exercise= | |
− | + | * Hands-on Exercise 7. The handout and data sets are available at course eLearn. | |
=R Packages= | =R Packages= | ||
+ | '''GWmodel''': Geographically-Weighted Models [https://cran.r-project.org/web/packages/GWmodel/index.html] | ||
+ | * Gollini I, Lu B, Charlton M, Brunsdon C, Harris P (2015) "GWmodel: an R Package for exploring Spatial Heterogeneity using Geographically Weighted Models". *Journal of Statistical Software*, 63(17):1-50, [http://www.jstatsoft.org/v63/i17/] Section 1, 2, 3, 6 and 8. | ||
+ | * Lu B, Harris P, Charlton M, Brunsdon C (2014) "The GWmodel R Package: further topics for exploring Spatial Heterogeneity using Geographically Weighted Models". *Geo-spatial Information Science* 17(2): 85-101, [https://www.tandfonline.com/doi/full/10.1080/10095020.2014.917453] | ||
+ | =References= | ||
+ | ==Methods== | ||
+ | Brunsdon, C., Fotheringham, A.S., and Charlton, M. (2002) “Geographically weighted regression: A method for exploring spatial nonstationarity”. Geographical Analysis, 28: 281-289. | ||
− | + | Brunsdon, C., Fotheringham, A.S. and Charlton, M., (1999) “Some Notes on Parametric Significance Tests for Geographically Weighted Regression”. Journal of Regional Science, 39(3), 497-524. | |
− | + | Harris, P. et al., (2010) “The Use of Geographically Weighted Regression for Spatial Prediction: An Evaluation of Models Using Simulated Data Sets”. Mathematical Geosciences, 42(6), 657-680. | |
− | + | ==Applications== | |
− | = |
Latest revision as of 22:24, 14 February 2019
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Modelling Spatial Varying Relationship: Geographically Weighted Regression methods
Contents
Content
- Granddaddy of All Models: Multiple Regression
- Basic concepts of Spatial Non-stationary
- Geographically Weighted Regression (gwr) Methods
- Basic principles and concepts
- Distance matrix, kernel and bandwidth
- Basic grw
- Beyond basic grw
- GW regression and addressing local collinearity
Must do
Read:
- Brunsdon, C., Fotheringham, A.S., and Charlton, M. (2002) “Geographically weighted regression: A method for exploring spatial nonstationarity”. Geographical Analysis, 28: 281-289.
- Gollini I, Lu B, Charlton M, Brunsdon C, Harris P (2015) "GWmodel: an R Package for exploring Spatial Heterogeneity using Geographically Weighted Models". *Journal of Statistical Software*, 63(17):1-50, [1] Section 1, 2, 3, 6 and 8.
In-Class Exercise
- Hands-on Exercise 7. The handout and data sets are available at course eLearn.
R Packages
GWmodel: Geographically-Weighted Models [2]
- Gollini I, Lu B, Charlton M, Brunsdon C, Harris P (2015) "GWmodel: an R Package for exploring Spatial Heterogeneity using Geographically Weighted Models". *Journal of Statistical Software*, 63(17):1-50, [3] Section 1, 2, 3, 6 and 8.
- Lu B, Harris P, Charlton M, Brunsdon C (2014) "The GWmodel R Package: further topics for exploring Spatial Heterogeneity using Geographically Weighted Models". *Geo-spatial Information Science* 17(2): 85-101, [4]
References
Methods
Brunsdon, C., Fotheringham, A.S., and Charlton, M. (2002) “Geographically weighted regression: A method for exploring spatial nonstationarity”. Geographical Analysis, 28: 281-289.
Brunsdon, C., Fotheringham, A.S. and Charlton, M., (1999) “Some Notes on Parametric Significance Tests for Geographically Weighted Regression”. Journal of Regional Science, 39(3), 497-524.
Harris, P. et al., (2010) “The Use of Geographically Weighted Regression for Spatial Prediction: An Evaluation of Models Using Simulated Data Sets”. Mathematical Geosciences, 42(6), 657-680.