# Spatial Association Between Regionalizations

Calculates a degree of spatial association between regionalizations or categorical maps using the information-theoretical V-measure (Nowosad and Stepinski (2018) ). It also offers an R implementation of the MapCurve method (Hargrove et al. (2006) ).

The sabre (Spatial Association Between REgionalizations) is an R package for calculating a degree of spatial association between regionalizations or categorical maps. This package offers support for `sf` spatial objects, and the following methods:

• the V-measure method (Nowosad and Stepinski, 2018)
• the MapCurve method (Hargrove et al., 2006)

## Installation

You can install the released version of `sabre` from CRAN with:

You can install the development version from GitHub with:

## Example

We use two simple regionalization, `regions1` and `regions2` to show the basic concept of calculating a degree of spatial association.

The first map, `regions1` consists of four regions of the same shape and size, while the second one, `regions2` has three irregular regions.

The `vmeasure_calc()` function allows for calculation of a degree of spatial association between regionalizations or categorical maps using the information-theoretical V-measure. It requires, at least, four arguments:

• `x` - an `sf` object containing the first regionalization
• `x_name` - a name of the column with regions names of the first regionalization
• `y` - an `sf` object containing the second regionalization
• `y_name` - a name of the column with regions names of the second regionalization

The result is a list with three metrics of spatial association - `V-measure`, `Homogeneity`, `Completeness` - and two `sf` objects with preprocessed input maps - `\$map1` and `\$map2`.

Both spatial outputs have two columns. The first one contains regions’ names/values and the second one (`rih`) describes regions’ inhomogeneities.

More examples can be found in the package vignette and in the sabre: or how to compare two maps? blog post.

Additionally, examples presented in the Spatial association between regionalizations using the information-theoretical V-measure article can be reproduced using data available at http://sil.uc.edu/cms/index.php?id=data-1#vmeasure.

## References

• Nowosad, Jakub, and Tomasz F. Stepinski. “Spatial association between regionalizations using the information-theoretical V-measure.” International Journal of Geographical Information Science (2018). https://doi.org/10.1080/13658816.2018.1511794
• Rosenberg, Andrew, and Julia Hirschberg. “V-measure: A conditional entropy-based external cluster evaluation measure.” Proceedings of the 2007 joint conference on empirical methods in natural language processing and computational natural language learning (EMNLP-CoNLL). 2007.
• Hargrove, William W., Forrest M. Hoffman, and Paul F. Hessburg. “Mapcurves: a quantitative method for comparing categorical maps.” Journal of Geographical Systems 8.2 (2006): 187.

# Reference manual

install.packages("sabre")

0.3.2 by Jakub Nowosad, a year ago

Browse source code at https://github.com/cran/sabre

Authors: Jakub Nowosad [aut, cre] , Tomasz Stepinski [aut] , Space Informatics Lab [cph]

Documentation:   PDF Manual