Tree-Spatial Scan Statistic for Cluster Detection
Implements the tree-spatial scan statistic (Cançado et al., 2025), which
detects clusters that are anomalous in both geographic space and a
hierarchical tree simultaneously. The method searches over circular spatial
zones and branches of a classification tree to find regions where observed
cases significantly exceed expectations under a Poisson or binomial model,
selectable via the model argument.
# From CRAN (after acceptance)
install.packages("treeSS")
# Development version from GitHub
# install.packages("remotes")
remotes::install_github("allanvc/treeSS")
library(treeSS)
# Example: London road collisions
data(london_collisions)
data(london_tree)
# The function takes parallel vectors - extract them from your data.frame
# and pass each one explicitly. This makes the choice of denominator,
# coordinates, etc. transparent.
result <- treespatial_scan(
cases = london_collisions$cases,
population = london_collisions$population,
region_id = london_collisions$region_id,
x = london_collisions$x,
y = london_collisions$y,
node_id = london_collisions$node_id,
tree = london_tree,
nsim = 999, seed = 42,
n_cores = 4L # parallelize the MC over 4 threads
)
print(result)
# Extract cluster membership for visualization
cr <- get_cluster_regions(result, n_clusters = 3, overlap = FALSE)
| Dataset | Country | Domain | Regions | Tree |
|:--------|:--------|:-------|:--------|:-----|
| rj_mortality + rj_tree | Brazil | Infant mortality | 92 municipalities | ICD-10 (622 nodes) |
| fl_deaths | USA | General mortality | 65 counties | raw (built by user) |
| london_collisions + london_tree | UK | Road collisions | 33 boroughs | Light x Road x Junction (81 nodes) |
| chicago_crimes + chicago_tree | USA | Crime | 77 community areas | Type x Description x Location (2841 nodes) |
| london_boroughs_map, chicago_map | | Polygon boundaries | | -- |
treespatial_scan() — tree-spatial scan (main function)circular_scan() — Kulldorff's spatial scantree_scan() — tree-based scanfilter_clusters() — non-overlapping secondary clustersget_cluster_regions() — cluster membership for any visualization packageThe package is visualization-agnostic. get_cluster_regions() returns a
data.frame that can be merged with any spatial object for plotting with
ggplot2, leaflet, tmap, or any other mapping package. See vignette("introduction")
for worked examples with ggplot2 + geobr (Brazil), leaflet + tigris (USA),
and leaflet + sf (London).
Cançado, A. L. F., Oliveira, G. S., Quadros, A. V. C., & Duczmal, L. (2025). A tree-spatial scan statistic. Environmental and Ecological Statistics, 32, 953–978. doi:10.1007/s10651-025-00670-w
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