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. Environment and Planning A 30(11), 1905–1927. 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 | - | - |
| Target System (*) | Grid, input, optional, CMD | 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: 101 | |
| Rows | Integer | TARGET_USER_ROWS | Number of cells in North-South direction. | Minimum: 1 Default: 101 | |
| 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: 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 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_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 -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: 101 -TARGET_USER_ROWS:<num> Rows Integer Minimum: 1 Default: 101 -TARGET_USER_FITS:<str> Fit Choice Available Choices: [0] nodes [1] cells Default: 0 -TARGET_TEMPLATE:<str> Target System Grid, input, optional, CMD -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 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