GWR for Multiple Predictor Grids

Author(s)	O.Conrad (c) 2010
Library ID	statistics_regression
Tool ID	6
Version	1.0
Menu	Spatial and Geostatistics \| Geographically Weighted Regression

Description

Geographically Weighted Regression for a multiple predictors supplied as grids, 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), 1905â€“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	Predictors	grid list, input	`PREDICTORS`	-	-
Output	Residuals	shapes, output, optional	`RESIDUALS`	-	-
	Regression	grid, output	`REGRESSION`	-	-
	Coefficient of Determination	grid, output	`QUALITY`	-	-
	Regression Parameters	grid list, output, optional	`MODEL`	-	-
Options	Grid System	grid system	`PARAMETERS_GRID_SYSTEM`	-	-
	Dependent Variable	table field	`DEPENDENT`	-	-
	Logistic Regression	boolean	`LOGISTIC`	-	Default: 0
	Output of Regression Parameters	boolean	`MODEL_OUT`	-	Default: 0
	Model Resolution	choice	`RESOLUTION`	-	Available Choices: [0] same as predictors [1] user defined Default: 1
	Resolution	floating point number	`RESOLUTION_VAL`	map units	Minimum: 0.000000 Default: 1.000000
	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 6 [-POINTS ] [-DEPENDENT ] [-RESIDUALS ] [-PREDICTORS ] [-REGRESSION ] [-QUALITY ] [-MODEL ] [-LOGISTIC ] [-MODEL_OUT ] [-RESOLUTION ] [-RESOLUTION_VAL ] [-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
  -PREDICTORS:          Predictors
	grid list, input
  -REGRESSION:          Regression
	grid, output
  -QUALITY:             Coefficient of Determination
	grid, output
  -MODEL:               Regression Parameters
	grid list, output, optional
  -LOGISTIC:            Logistic Regression
	boolean
	Default: 0
  -MODEL_OUT:           Output of Regression Parameters
	boolean
	Default: 0
  -RESOLUTION:
                             Model Resolution
                             	choice
                             	Available Choices:
                             	[0] same as predictors
                             	[1] user defined
                             	Default: 1
  -RESOLUTION_VAL:   Resolution
	floating point number
	Minimum: 0.000000
	Default: 1.000000
  -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