Tool GWR for Multiple Predictors (Gridded Model Output)

Geographically Weighted Regression for multiple predictors. Predictors have to be supplied as attributes of ingoing points data. Regression model parameters are generated as continuous fields, i.e. as grids.

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.

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	Regression	Shapes (output)	`REGRESSION`	-	-
	Quality	Grid (output)	`QUALITY`	-	-
	Intercept	Grid (output)	`INTERCEPT`	-	-
	Slopes	Grid list (output)	`SLOPES`	-	-
Options	Dependent Variable	Table field	`DEPENDENT`	-	-
	Predictors	Table fields	`PREDICTORS`	-	-
	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 5 [-POINTS <str>] [-DEPENDENT <str>] [-PREDICTORS <str>] [-REGRESSION <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>] [-QUALITY <str>] [-INTERCEPT <str>] [-SLOPES <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
  -PREDICTORS:<str>         	Predictors
	Table fields
  -REGRESSION:<str>         	Regression
	Shapes (output)
  -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)
  -QUALITY:<str>            	Quality
	Grid (output)
  -INTERCEPT:<str>          	Intercept
	Grid (output)
  -SLOPES:<str>             	Slopes
	Grid list (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