Tool GWR for Grid Downscaling

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. 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.

Author: O.Conrad (c) 2013
Menu: Spatial and Geostatistics|Geographically Weighted Regression

Parameters

	Name	Type	Identifier	Description	Constraints
Input	Predictors	Grid list (input)	`PREDICTORS`	-	-
Input	Dependent Variable	Grid (input)	`DEPENDENT`	-	-
Output	Regression	Grid (output)	`REGRESSION`	-	-
	Regression with Residual Correction (*)	Grid (optional output)	`REG_RESCORR`	-	-
	Coefficient of Determination	Grid (output)	`QUALITY`	-	-
	Residuals	Grid (output)	`RESIDUALS`	-	-
	Regression Parameters (*)	Grid list (optional output)	`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	`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 weighting Default: 3
	Inverse Distance Weighting Power	Floating point	`DW_IDW_POWER`	-	Minimum: 0.000000 Default: 1.000000
	Inverse Distance Offset	Boolean	`DW_IDW_OFFSET`	Calculates weights for distance plus one, avoiding division by zero for zero distances	Default: 1
	Gaussian and Exponential Weighting Bandwidth	Floating point	`DW_BANDWIDTH`	-	Minimum: 0.000000 Default: 7.000000
(*) optional

Command-line

Usage: saga_cmd statistics_regression 14 [-PREDICTORS <str>] [-REGRESSION <str>] [-REG_RESCORR <str>] [-DEPENDENT <str>] [-QUALITY <str>] [-RESIDUALS <str>] [-MODEL <str>] [-LOGISTIC <str>] [-MODEL_OUT <str>] [-SEARCH_RANGE <str>] [-SEARCH_RADIUS <num>] [-DW_WEIGHTING <str>] [-DW_IDW_POWER <double>] [-DW_IDW_OFFSET <str>] [-DW_BANDWIDTH <double>]
  -PREDICTORS:<str>     	Predictors
	Grid list (input)
  -REGRESSION:<str>     	Regression
	Grid (output)
  -REG_RESCORR:<str>    	Regression with Residual Correction
	Grid (optional output)
  -DEPENDENT:<str>      	Dependent Variable
	Grid (input)
  -QUALITY:<str>        	Coefficient of Determination
	Grid (output)
  -RESIDUALS:<str>      	Residuals
	Grid (output)
  -MODEL:<str>          	Regression Parameters
	Grid list (optional output)
  -LOGISTIC:<str>       	Logistic Regression
	Boolean
	Default: 0
  -MODEL_OUT:<str>      	Output of Model Parameters
	Boolean
	Default: 0
  -SEARCH_RANGE:<str>   	Search Range
	Choice
	Available Choices:
	[0] local
	[1] global
	Default: 0
  -SEARCH_RADIUS:<num>  	Search Distance [Cells]
	Integer
	Minimum: 1
	Default: 10
  -DW_WEIGHTING:<str>   	Weighting Function
	Choice
	Available Choices:
	[0] no distance weighting
	[1] inverse distance to a power
	[2] exponential
	[3] gaussian weighting
	Default: 3
  -DW_IDW_POWER:<double>	Inverse Distance Weighting Power
	Floating point
	Minimum: 0.000000
	Default: 1.000000
  -DW_IDW_OFFSET:<str>  	Inverse Distance Offset
	Boolean
	Default: 1
  -DW_BANDWIDTH:<double>	Gaussian and Exponential Weighting Bandwidth
	Floating point
	Minimum: 0.000000
	Default: 7.000000