This R package enables researchers to sample redistricting plans from a pre-specified target distribution using Sequential Monte Carlo and Markov Chain Monte Carlo algorithms. The package supports various constraints in the redistricting process, such as geographic compactness and population parity requirements. Tools for analysis, including computation of various summary statistics and plotting functionality, are also included.

Authors:

- Christopher T Kenny, christopherkenny@fas.harvard.edu (Maintainer)
- Cory McCartan, cmccartan@g.harvard.edu
- Ben Fifield, benfifield@gmail.com
- Kosuke Imai, imai@harvard.edu

Contributors:

- Jun Kawahara, jkawahara@i.kyoto-u.ac.jp
- Alex Tarr, atarr@princeton.edu
- Michael Higgins, mjh5@princeton.edu

Papers:

- Automated
Redistricting Simulation Using Markov Chain Monte Carlo
*Journal of Computational and Graphical Statistics* - The
Essential Role of Empirical Validation in Legislative Redistricting
Simulation
*Statistics and Public Policy*Vol. 7, No. 1, pp. 52-68. - Sequential Monte Carlo for Sampling Balanced and Compact Redistricting Plans

`redist`

is available on CRAN and can be installed
using:

`install.packages("redist")`

You can also install the most recent development version of
`redist`

(which is usually quite stable) using the `remotes``
package.

```
if (!require(remotes)) install.packages("remotes")
::install_github("alarm-redist/[email protected]", dependencies=TRUE) remotes
```

A basic analysis has two steps. First, you define a redistricting
plan using `redist_map`

. Then you simulate plans using one of
the algorithm functions: `redist_smc`

,
`redist_flip`

, and `redist_mergesplit`

.

```
library(redist)
library(dplyr)
data(iowa)
# set a 0.1% population constraint
= redist_map(iowa, existing_plan=cd_2010, pop_tol=0.001, total_pop = pop)
iowa_map # simulate 500 plans using the SMC algorithm
= redist_smc(iowa_map, nsims=500)
iowa_plans #> SEQUENTIAL MONTE CARLO
#> Sampling 500 99-unit maps with 4 districts and population between 760,827 and 762,350.
```

After generating plans, you can use `redist`

’s plotting
functions to study the geographic and partisan characteristics of the
simulated ensemble.

```
library(ggplot2)
library(patchwork) # for plotting
redist.plot.plans(iowa_plans, draws=c("cd_2010", "1", "2", "3"), shp=iowa_map)
```

```
= iowa_plans %>%
iowa_plans mutate(Compactness = distr_compactness(iowa_map),
`Population deviation` = plan_parity(iowa_map),
`Democratic vote` = group_frac(iowa_map, dem_08, tot_08))
#> An earlier bug incorrectly in redist doubled the number of removed edges.
#> Current counts are correct.
#> This message is displayed once per session.
hist(iowa_plans, `Population deviation`) + hist(iowa_plans, Compactness) +
plot_layout(guides="collect") +
plot_annotation(title="Simulated plan characteristics")
```

```
redist.plot.scatter(iowa_plans, `Population deviation`, Compactness) +
labs(title="Population deviation and compactness by plan")
```

```
plot(iowa_plans, `Democratic vote`, size=0.5, color_thresh=0.5) +
scale_color_manual(values=c("tomato2", "dodgerblue")) +
labs(title="Democratic vote share by district")
```

A more detailed introduction to redistricting methods and the package can be found in the Get Started page. The package vignettes contain more detailed information and guides to specific workflows.