Returns the off-diagonal elements of the variation of information distance matrix for a sample of plans, which can be used as a diagnostic measure to assess the diversity of a set of plans. While the exact scale varies depending on the number of precincts and districts, generally diversity is good if most of the values are greater than 0.5. Conversely, if there are many values close to zero, then the sample has many similar plans and may not be a good approximation to the target distribution.

plans_diversity(
  plans,
  n_max = 100,
  ncores = 1,
  total_pop = attr(plans, "prec_pop")
)

Arguments

plans

a redist_plans object.

n_max

the maximum number of plans to sample in computing the distances. Larger numbers will have less sampling error but will require more computation time.

ncores

the number of cores to use in computing the distances.

total_pop

The vector of precinct populations. Used only if computing variation of information. If not provided, equal population of precincts will be assumed, i.e. the VI will be computed with respect to the precincts themselves, and not the population.

Value

A numeric vector of off-diagonal variation of information distances.

Examples

data(iowa)
ia <- redist_map(iowa, existing_plan = cd_2010, pop_tol = 0.01)
plans <- redist_smc(ia, 100, silent = TRUE)
hist(plans_diversity(plans))