GWR for Single Predictor Grid

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

Description

Geographically Weighted Regression for a single predictor supplied as grid, to which the regression model is applied. Further details can be stored optionally.

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	Predictor	grid, input	`PREDICTOR`	-	-
Output	Residuals	shapes, output, optional	`RESIDUALS`	-	-
	Regression	grid, output	`REGRESSION`	-	-
	Coefficient of Determination	grid, output, optional	`QUALITY`	-	-
	Intercept	grid, output, optional	`INTERCEPT`	-	-
	Slope	grid, output, optional	`SLOPE`	-	-
Options	Grid System	grid system	`PARAMETERS_GRID_SYSTEM`	-	-
	Dependent Variable	table field	`DEPENDENT`	-	-
	Logistic Regression	boolean	`LOGISTIC`	-	Default: 0
	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 4 [-POINTS ] [-DEPENDENT ] [-RESIDUALS ] [-PREDICTOR ] [-REGRESSION ] [-QUALITY ] [-INTERCEPT ] [-SLOPE ] [-LOGISTIC ] [-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
  -RESIDUALS:        	Residuals
	shapes, output, optional
  -PREDICTOR:        	Predictor
	grid, input
  -REGRESSION:       	Regression
	grid, output
  -QUALITY:          	Coefficient of Determination
	grid, output, optional
  -INTERCEPT:        	Intercept
	grid, output, optional
  -SLOPE:            	Slope
	grid, output, optional
  -LOGISTIC:         	Logistic Regression
	boolean
	Default: 0
  -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