Tool GWR for Single Predictor Grid
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.
- Author: O.Conrad (c) 2010
- Menu: Spatial and Geostatistics|Geographically Weighted Regression
Parameters
| | Name | Type | Identifier | Description | Constraints |
|---|
| Input | Points | Shapes, input | POINTS | - | - |
| 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: 0 |
| Power | Floating point | DW_IDW_POWER | - | Minimum: 0.000000
Default: 2.000000 |
| Bandwidth | Floating point | 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 | 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 |
| (*) optional |
Command-line
Usage: saga_cmd statistics_regression 4 [-POINTS <str>] [-DEPENDENT <str>] [-RESIDUALS <str>] [-PREDICTOR <str>] [-REGRESSION <str>] [-QUALITY <str>] [-INTERCEPT <str>] [-SLOPE <str>] [-LOGISTIC <str>] [-DW_WEIGHTING <str>] [-DW_IDW_POWER <double>] [-DW_BANDWIDTH <double>] [-SEARCH_RANGE <str>] [-SEARCH_RADIUS <double>] [-SEARCH_POINTS_ALL <str>] [-SEARCH_POINTS_MIN <num>] [-SEARCH_POINTS_MAX <num>]
-POINTS:<str> Points
Shapes, input
-DEPENDENT:<str> Dependent Variable
Table field
-RESIDUALS:<str> Residuals
Shapes, output, optional
-PREDICTOR:<str> Predictor
Grid, input
-REGRESSION:<str> Regression
Grid, output
-QUALITY:<str> Coefficient of Determination
Grid, output, optional
-INTERCEPT:<str> Intercept
Grid, output, optional
-SLOPE:<str> Slope
Grid, output, optional
-LOGISTIC:<str> Logistic Regression
Boolean
Default: 0
-DW_WEIGHTING:<str> Weighting Function
Choice
Available Choices:
[0] no distance weighting
[1] inverse distance to a power
[2] exponential
[3] gaussian
Default: 0
-DW_IDW_POWER:<double> Power
Floating point
Minimum: 0.000000
Default: 2.000000
-DW_BANDWIDTH:<double> 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