GWR for Single Predictor (Gridded Model Output)

Author: O.Conrad (c) 2010
Menu: Spatial and Geostatistics | Geographically Weighted Regression

Description

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. 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	Points	shapes, input	`POINTS`	-	-
Input	Target System	grid, input, optional	`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 number	`TARGET_USER_SIZE`	-	Minimum: 0.000000 Default: 1.000000
	West	floating point number	`TARGET_USER_XMIN`	-	Default: 0.000000
	East	floating point number	`TARGET_USER_XMAX`	-	Default: 100.000000
	South	floating point number	`TARGET_USER_YMIN`	-	Default: 0.000000
	North	floating point number	`TARGET_USER_YMAX`	-	Default: 100.000000
	Columns	integer number	`TARGET_USER_COLS`	Number of cells in East-West direction.	Minimum: 1 Default: 101
	Rows	integer number	`TARGET_USER_ROWS`	Number of cells in North-South direction.	Minimum: 1 Default: 101
	Rounding	boolean	`TARGET_USER_FLAT`	Round bounding coordinates to multiples of cell size. Ignored if cell size has decimal places.	Default: 1
	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 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: 1.000000
	Search Range	choice	`SEARCH_RANGE`	-	Available Choices: [0] local [1] global Default: 1
	Maximum Search Distance	floating point number	`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 number	`SEARCH_POINTS_MIN`	minimum number of points to use	Minimum: 1 Default: 16
	Maximum	integer number	`SEARCH_POINTS_MAX`	maximum number of nearest points	Minimum: 1 Default: 20

Command Line

Usage: saga_cmd statistics_regression 3 [-POINTS ] [-DEPENDENT ] [-PREDICTOR ] [-LOGISTIC ] [-TARGET_DEFINITION ] [-TARGET_USER_SIZE ] [-TARGET_USER_XMIN ] [-TARGET_USER_XMAX ] [-TARGET_USER_YMIN ] [-TARGET_USER_YMAX ] [-TARGET_USER_COLS ] [-TARGET_USER_ROWS ] [-TARGET_USER_FLAT ] [-TARGET_USER_FITS ] [-TARGET_TEMPLATE ] [-TARGET_OUT_GRID ] [-INTERCEPT ] [-SLOPE ] [-QUALITY ] [-DW_WEIGHTING ] [-DW_IDW_POWER ] [-DW_BANDWIDTH ] [-SEARCH_RANGE ] [-SEARCH_RADIUS ] [-SEARCH_POINTS_ALL ] [-SEARCH_POINTS_MIN ] [-SEARCH_POINTS_MAX ]
  -POINTS:             	Points
	shapes, input
  -DEPENDENT:          	Dependent Variable
	table field
  -PREDICTOR:          	Predictor
	table field
  -LOGISTIC:           	Logistic Regression
	boolean
	Default: 0
  -TARGET_DEFINITION:  	Target Grid System
	choice
	Available Choices:
	[0] user defined
	[1] grid or grid system
	Default: 0
  -TARGET_USER_SIZE:	Cellsize
	floating point number
	Minimum: 0.000000
	Default: 1.000000
  -TARGET_USER_XMIN:	West
	floating point number
	Default: 0.000000
  -TARGET_USER_XMAX:	East
	floating point number
	Default: 100.000000
  -TARGET_USER_YMIN:	South
	floating point number
	Default: 0.000000
  -TARGET_USER_YMAX:	North
	floating point number
	Default: 100.000000
  -TARGET_USER_COLS:   	Columns
	integer number
	Minimum: 1
	Default: 101
  -TARGET_USER_ROWS:   	Rows
	integer number
	Minimum: 1
	Default: 101
  -TARGET_USER_FLAT:   	Rounding
	boolean
	Default: 1
  -TARGET_USER_FITS:   	Fit
	choice
	Available Choices:
	[0] nodes
	[1] cells
	Default: 0
  -TARGET_TEMPLATE:    	Target System
	grid, input, optional
  -TARGET_OUT_GRID:    	Target Grid
	grid, output
  -INTERCEPT:          	Intercept
	grid, output
  -SLOPE:              	Slope
	grid, output
  -QUALITY:            	Quality
	grid, output
  -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: 1.000000
  -SEARCH_RANGE:       	Search Range
	choice
	Available Choices:
	[0] local
	[1] global
	Default: 1
  -SEARCH_RADIUS:   	Maximum Search Distance
	floating point number
	Minimum: 0.000000
	Default: 1000.000000
  -SEARCH_POINTS_ALL:  	Number of Points
	choice
	Available Choices:
	[0] maximum number of nearest points
	[1] all points within search distance
	Default: 1
  -SEARCH_POINTS_MIN:  	Minimum
	integer number
	Minimum: 1
	Default: 16
  -SEARCH_POINTS_MAX:  	Maximum
	integer number
	Minimum: 1
	Default: 20