GWR for Multiple Predictors (Gridded Model Output)
| Author(s) | O.Conrad (c) 2010 |
| Library ID | statistics_regression |
| Tool ID | 5 |
| Version | 1.0 |
| Menu | Spatial and Geostatistics | Geographically Weighted Regression |
Description
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.
Parameters
| | Name | Type | Identifier | Description | Constraints |
|---|
| Input | Points | shapes, input | POINTS | - | - |
| Target System | grid, input, optional | 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 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 5 [-POINTS ] [-DEPENDENT ] [-PREDICTORS ] [-REGRESSION ] [-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 ] [-QUALITY ] [-INTERCEPT ] [-SLOPES ] [-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
-PREDICTORS: Predictors
table fields
-REGRESSION: Regression
shapes, output
-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
-QUALITY: Quality
grid, output
-INTERCEPT: Intercept
grid, output
-SLOPES: Slopes
grid list, 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