GWR for Grid Downscaling
- Author: O.Conrad (c) 2013
- Menu: Spatial and Geostatistics | Geographically Weighted Regression
Description
Geographically Weighted Regression for grid downscaling. 
References
- Fotheringham, S.A., Brunsdon, C., Charlton, M. (2002): Geographically Weighted Regression: the analysis of spatially varying relationships. John Wiley & Sons. online.
- Fotheringham, S.A., Charlton, M., Brunsdon, C. (1998): Geographically weighted regression: a natural evolution of the expansion method for spatial data analysis. Environment and Planning A 30(11), 1905___1927. online.
- Lloyd, C. (2010): Spatial Data Analysis - An Introduction for GIS Users. Oxford, 206p.
- Zhang, D., Ren, N., and Hou, X. (2018): An improved logistic regression model based on a spatially weighted technique (ILRBSWT v1.0) and its application to mineral prospectivity mapping. Geosci. Model Dev., 11, 2525-2539. doi:10.5194/gmd-11-2525-2018.
Parameters
|  | Name | Type | Identifier | Description | Constraints | 
|---|
| Input | Predictors | grid list, input | PREDICTORS | - | - | 
| Dependent Variable | grid, input | DEPENDENT | - | - | 
| Output | Regression | grid, output | REGRESSION | - | - | 
| Regression with Residual Correction | grid, output, optional | REG_RESCORR | - | - | 
| Coefficient of Determination | grid, output | QUALITY | - | - | 
| Residuals | grid, output | RESIDUALS | - | - | 
| Regression Parameters | grid list, output, optional | MODEL | - | - | 
| Options | Grid System | grid system | PARAMETERS_GRID_SYSTEM | - | - | 
| Grid System | grid system | GRID_SYSTEM | - | - | 
| Logistic Regression | boolean | LOGISTIC | - | Default: 0 | 
| Output of Model Parameters | boolean | MODEL_OUT | - | Default: 0 | 
| Search Range | choice | SEARCH_RANGE | - | Available Choices:
[0] local
[1] global
Default: 0 | 
| Search Distance [Cells] | integer number | SEARCH_RADIUS | - | Minimum: 1
Default: 10 | 
| Weighting Function | choice | DW_WEIGHTING | - | Available Choices:
[0] no distance weighting
[1] inverse distance to a power
[2] exponential
[3] gaussian
Default: 3 | 
| Power | floating point number | DW_IDW_POWER | - | Minimum: 0.000000
Default: 2.000000 | 
| Bandwidth | floating point number | DW_BANDWIDTH | Bandwidth for exponential and Gaussian weighting | Minimum: 0.000000
Default: 7.000000 | 
Command Line
Usage: saga_cmd statistics_regression 14 [-PREDICTORS ] [-REGRESSION ] [-REG_RESCORR ] [-DEPENDENT ] [-QUALITY ] [-RESIDUALS ] [-MODEL ] [-LOGISTIC ] [-MODEL_OUT ] [-SEARCH_RANGE ] [-SEARCH_RADIUS ] [-DW_WEIGHTING ] [-DW_IDW_POWER ] [-DW_BANDWIDTH ]
  -PREDICTORS:     	Predictors
	grid list, input
  -REGRESSION:     	Regression
	grid, output
  -REG_RESCORR:    	Regression with Residual Correction
	grid, output, optional
  -DEPENDENT:      	Dependent Variable
	grid, input
  -QUALITY:        	Coefficient of Determination
	grid, output
  -RESIDUALS:      	Residuals
	grid, output
  -MODEL:          	Regression Parameters
	grid list, output, optional
  -LOGISTIC:       	Logistic Regression
	boolean
	Default: 0
  -MODEL_OUT:      	Output of Model Parameters
	boolean
	Default: 0
  -SEARCH_RANGE:   	Search Range
	choice
	Available Choices:
	[0] local
	[1] global
	Default: 0
  -SEARCH_RADIUS:  	Search Distance [Cells]
	integer number
	Minimum: 1
	Default: 10
  -DW_WEIGHTING:   	Weighting Function
	choice
	Available Choices:
	[0] no distance weighting
	[1] inverse distance to a power
	[2] exponential
	[3] gaussian
	Default: 3
  -DW_IDW_POWER:	Power
	floating point number
	Minimum: 0.000000
	Default: 2.000000
  -DW_BANDWIDTH:	Bandwidth
	floating point number
	Minimum: 0.000000
	Default: 7.000000