Tool GWR for Single Predictor (Gridded Model Output)

This Geographically Weighted Regression tool for a single predictor creates gridded model output.

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) 2010
Menu: Spatial and Geostatistics|Geographically Weighted Regression

Parameters

	Name	Type	Identifier	Description	Constraints
Input	Points	Shapes (input)	`POINTS`	-	-
Input	Target System (*)	Grid (optional input)	`TARGET_TEMPLATE`	use this grid's system for output grids	-
Output	Target Grid	Grid (output)	`TARGET_OUT_GRID`	-	-
	Intercept	Grid (output)	`INTERCEPT`	-	-
	Slope	Grid (output)	`SLOPE`	-	-
	Quality	Grid (output)	`QUALITY`	-	-
Options	Dependent Variable	Table field	`DEPENDENT`	-	-
	Predictor	Table field	`PREDICTOR`	-	-
	Logistic Regression	Boolean	`LOGISTIC`	-	Default: 0
	Target Grid System	Choice	`TARGET_DEFINITION`	-	Available Choices: [0] user defined [1] grid or grid system Default: 0
	Cellsize	Floating point	`TARGET_USER_SIZE`	-	Minimum: 0.000000 Default: 1.000000
	West	Floating point	`TARGET_USER_XMIN`	-	Default: 0.000000
	East	Floating point	`TARGET_USER_XMAX`	-	Default: 100.000000
	South	Floating point	`TARGET_USER_YMIN`	-	Default: 0.000000
	North	Floating point	`TARGET_USER_YMAX`	-	Default: 100.000000
	Columns	Integer	`TARGET_USER_COLS`	Number of cells in East-West direction.	Minimum: 1 Default: 100
	Rows	Integer	`TARGET_USER_ROWS`	Number of cells in North-South direction.	Minimum: 1 Default: 100
	Fit	Choice	`TARGET_USER_FITS`	-	Available Choices: [0] nodes [1] cells Default: 0
	Grid System	Grid system	`TARGET_SYSTEM`	-	-
	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: 1.000000
	Search Range	Choice	`SEARCH_RANGE`	-	Available Choices: [0] local [1] global Default: 1
	Maximum Search Distance	Floating point	`SEARCH_RADIUS`	local maximum search distance given in map units	Minimum: 0.000000 Default: 1000.000000
	Number of Points	Choice	`SEARCH_POINTS_ALL`	-	Available Choices: [0] maximum number of nearest points [1] all points within search distance Default: 1
	Minimum	Integer	`SEARCH_POINTS_MIN`	minimum number of points to use	Minimum: 1 Default: 16
	Maximum	Integer	`SEARCH_POINTS_MAX`	maximum number of nearest points	Minimum: 1 Default: 20
	Direction	Choice	`SEARCH_DIRECTION`	-	Available Choices: [0] all directions [1] quadrants Default: 0
(*) optional

Command-line

Usage: saga_cmd statistics_regression 3 [-POINTS <str>] [-DEPENDENT <str>] [-PREDICTOR <str>] [-LOGISTIC <str>] [-TARGET_DEFINITION <str>] [-TARGET_USER_SIZE <double>] [-TARGET_USER_XMIN <double>] [-TARGET_USER_XMAX <double>] [-TARGET_USER_YMIN <double>] [-TARGET_USER_YMAX <double>] [-TARGET_USER_COLS <num>] [-TARGET_USER_ROWS <num>] [-TARGET_USER_FITS <str>] [-TARGET_TEMPLATE <str>] [-TARGET_OUT_GRID <str>] [-INTERCEPT <str>] [-SLOPE <str>] [-QUALITY <str>] [-DW_WEIGHTING <str>] [-DW_IDW_POWER <double>] [-DW_IDW_OFFSET <str>] [-DW_BANDWIDTH <double>] [-SEARCH_RANGE <str>] [-SEARCH_RADIUS <double>] [-SEARCH_POINTS_ALL <str>] [-SEARCH_POINTS_MIN <num>] [-SEARCH_POINTS_MAX <num>] [-SEARCH_DIRECTION <str>]
  -POINTS:<str>             	Points
	Shapes (input)
  -DEPENDENT:<str>          	Dependent Variable
	Table field
  -PREDICTOR:<str>          	Predictor
	Table field
  -LOGISTIC:<str>           	Logistic Regression
	Boolean
	Default: 0
  -TARGET_DEFINITION:<str>  	Target Grid System
	Choice
	Available Choices:
	[0] user defined
	[1] grid or grid system
	Default: 0
  -TARGET_USER_SIZE:<double>	Cellsize
	Floating point
	Minimum: 0.000000
	Default: 1.000000
  -TARGET_USER_XMIN:<double>	West
	Floating point
	Default: 0.000000
  -TARGET_USER_XMAX:<double>	East
	Floating point
	Default: 100.000000
  -TARGET_USER_YMIN:<double>	South
	Floating point
	Default: 0.000000
  -TARGET_USER_YMAX:<double>	North
	Floating point
	Default: 100.000000
  -TARGET_USER_COLS:<num>   	Columns
	Integer
	Minimum: 1
	Default: 100
  -TARGET_USER_ROWS:<num>   	Rows
	Integer
	Minimum: 1
	Default: 100
  -TARGET_USER_FITS:<str>   	Fit
	Choice
	Available Choices:
	[0] nodes
	[1] cells
	Default: 0
  -TARGET_TEMPLATE:<str>    	Target System
	Grid (optional input)
  -TARGET_OUT_GRID:<str>    	Target Grid
	Grid (output)
  -INTERCEPT:<str>          	Intercept
	Grid (output)
  -SLOPE:<str>              	Slope
	Grid (output)
  -QUALITY:<str>            	Quality
	Grid (output)
  -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: 1.000000
  -SEARCH_RANGE:<str>       	Search Range
	Choice
	Available Choices:
	[0] local
	[1] global
	Default: 1
  -SEARCH_RADIUS:<double>   	Maximum Search Distance
	Floating point
	Minimum: 0.000000
	Default: 1000.000000
  -SEARCH_POINTS_ALL:<str>  	Number of Points
	Choice
	Available Choices:
	[0] maximum number of nearest points
	[1] all points within search distance
	Default: 1
  -SEARCH_POINTS_MIN:<num>  	Minimum
	Integer
	Minimum: 1
	Default: 16
  -SEARCH_POINTS_MAX:<num>  	Maximum
	Integer
	Minimum: 1
	Default: 20
  -SEARCH_DIRECTION:<str>   	Direction
	Choice
	Available Choices:
	[0] all directions
	[1] quadrants
	Default: 0