You can install a development version of the `geocmeans`

package using the command below.

`remotes::install_github(repo = "JeremyGelb/geocmeans", build_vignettes = TRUE, force = TRUE)`

Jeremy Gelb, Laboratoire d’Équité Environnemental INRS (CANADA), Email: jeremy.gelb@ucs.inrs.ca

Philippe Apparcio, Laboratoire d’Équité Environnemental INRS (CANADA), Email: philippe.apparicio@ucs.inrs.ca

Provides functions to apply Spatial Fuzzy c-means Algorithm, visualize and interpret results. This method is well suited when the user wants to analyze data with a fuzzy clustering algorithm and to account for the spatial dimension of the dataset. Indexes for measuring the spatial consistency and classification quality are proposed in addition. The algorithms were developed first for brain imagery as described in the articles of Cai and al. 2007 and Zaho and al. 2013. Gelb and Apparicio proposed to apply the method to perform a socio-residential and environmental taxonomy in Lyon (France).

Approaches for visualising uncertainty in spatial data are presented in this package. These include the three approaches developed in Lucchesi and Wikle (2017) and a fourth approach presented in Kuhnert et al. (2018).

Four Fuzzy classification algorithms are proposed :

- FCM: Fuzzy C-Means, with the function
`CMeans`

- GFCM: Generalized Fuzzy C-Means, with the function
`GFCMeans`

- SFCM: Spatial Fuzzy C-Means, with the function
`SFCMeans`

- SGFCM: Spatial Generalized Fuzzy C-Means, with the function
`SGFCMeans`

Each function return a membership matrix, the data used for the classification (scaled if required) and the centers of the clusters.

The algorithms available require different parameters to be fixed by the user. The function `selectParameters`

is a useful tool to compare the results of different combinations of parameters. A multicore version, `selectParameters.mc`

, using a plan from the package `future`

is also available to speed up the calculus.

Many indices of classification quality can be calculated with the function `calcqualityIndexes`

:

*Silhouette.index*: the silhouette index (fclust::SIL.F)*Partition.entropy*: the partition entropy index (fclust::PE)*Partition.coeff*: the partition entropy coefficient (fclust::PC)*Modified.partition.coeff*: the modified partition entropy coefficient (fclust::MPC)*XieBeni.index*: the Xie and Beni index (fclust::XB)*FukuyamaSugeno.index*: the Fukuyama and Sugeno index (geocmeans::calcFukuyamaSugeno)*Explained.inertia*: the percentage of total inertia explained by the solution

Several functions are also available to facilitate the interpration of the classification:

- summary statistics for each cluster:
`summarizeClusters`

- spider charts:
`spiderPlots`

- violin plots:
`violinPlots`

- maps of the membership matrix:
`mapClusters`

(support polygon, points and polylines)

We proposed an index to quantify the spatial inconsistency of a classification (Gelb and Apparicio). If in a classification close observations tend to belong to the same group, then the value of the index is close to 0. If the index is close to 1, then the belonging to groups is randomly distributed in space. A value higher than one can happen in the case of negative spatial autocorrelation. The index is described in the vignette `adjustinconsistency`

. The function `spatialDiag`

does a complete spatial diagnostic of the membership matrix resulting from a classification.

Detailed examples are given in the vignette `introduction`

`vignette("introduction","geocmeans")`

If you would like to install and run the unit tests interactively, include `INSTALL_opts = "--install-tests"`

in the installation code.

```
remotes::install_github(repo = "JeremyGelb/geocmeans", build_vignettes = TRUE, force = TRUE, INSTALL_opts = "--install-tests")
testthat::test_package("geocmeans", reporter = "stop")
```

To contribute to `geocmeans`

, please follow these guidelines.

Please note that the `geocmeans`

project is released with a Contributor Code of Conduct. By contributing to this project, you agree to abide by its terms.

`geocmeans`

version 0.1.0 is licensed under GPL2 License.