spatial rough set-based geographical detector(SRSGD) model

Usage

srsgd(formula, data, wt = NULL, type = "factor", alpha = 0.95)

Arguments

formula: A formula of spatial rough set-based geographical detector model.
data: A data.frame, tibble or sf object of observation data.
wt: Spatial adjacency matrix. If data is a sf polygon object, the queen adjacency matrix is used when no wt object is provided. In other cases, you must provide a wt object.
type: (optional) The type of geographical detector, which must be one of factor(default), interaction and ecological.
alpha: (optional) Specifies the size of the alpha (confidence level). Default is 0.95.

Value

A list.

factor: the result of spatial rough set-based factor detector
interaction: the result of spatial rough set-based interaction detector
ecological: the result of spatial rough set-based ecological detector

Note

The Spatial Rough Set-based Geographical Detector Model (SRSGD) conducts spatial hierarchical heterogeneity analysis utilizing a geographical detector for data where the dependent variable is discrete. Given the complementary relationship between SRSGD and the native version of geographical detector, I strive to maintain consistency with gd() function when establishing srsgd() function. This implies that all input variable data in srsgd must be discretized prior to use.

References

Bai, H., Li, D., Ge, Y., Wang, J., & Cao, F. (2022). Spatial rough set-based geographical detectors for nominal target variables. Information Sciences, 586, 525–539. https://doi.org/10.1016/j.ins.2021.12.019

Author

Wenbo Lv lyu.geosocial@gmail.com

Examples

data('srs_table')
data('srs_wt')
srsgd(d ~ a1 + a2 + a3, data = srs_table, wt = srs_wt,
      type = c('factor','interaction','ecological'))
#> ***     Spatial Rough Set-based Geographical Detector      
#>                 Factor Detector            
#> 
#> | variable |    PD     |  SE_PD   |
#> |:--------:|:---------:|:--------:|
#> |    a3    | 0.4898268 | 3.290192 |
#> |    a2    | 0.4716450 | 3.304379 |
#> |    a1    | 0.4595238 | 3.282169 |
#> 
#>                 Interaction Detector         
#> 
#> | Interactive variable | Interaction  |
#> |:--------------------:|:------------:|
#> |       a1 ∩ a2        | Enhance, bi- |
#> |       a1 ∩ a3        | Enhance, bi- |
#> |       a2 ∩ a3        | Enhance, bi- |
#> 
#>                 Ecological Detector         
#> 
#> |   | a2 | a3 |
#> |:--|:--:|:--:|
#> |a1 | No | No |
#> |a2 | NA | No |
#>