GWR for Single Predictor (Gridded Model Output)
| Author(s) | O.Conrad (c) 2010 |
| Library ID | statistics_regression |
| Tool ID | 3 |
| Version | 1.0 |
| Menu | Spatial and Geostatistics | Geographically Weighted Regression |
Description
This Geographically Weighted Regression tool for a single predictor creates gridded model output.
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 | - | - |
| Target System | grid, input, optional | TARGET_TEMPLATE | use this grid's system for output grids | - |
| Output | Target Grid | grid, output | TARGET_OUT_GRID | - | - |
| Intercept | grid, output | INTERCEPT | - | - |
| Slope | grid, output | SLOPE | - | - |
| Quality | grid, output | QUALITY | - | - |
| Options | Dependent Variable | table field | DEPENDENT | - | - |
| Predictor | table field | PREDICTOR | - | - |
| 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 3 [-POINTS ] [-DEPENDENT ] [-PREDICTOR ] [-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 ] [-TARGET_OUT_GRID ] [-INTERCEPT ] [-SLOPE ] [-QUALITY ] [-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
-PREDICTOR: Predictor
table field
-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
-TARGET_OUT_GRID: Target Grid
grid, output
-INTERCEPT: Intercept
grid, output
-SLOPE: Slope
grid, output
-QUALITY: Quality
grid, 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