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spNetwork

A R package to perform spatial analysis on networks.

The package’s website is available here

Breaking news

Removing spatial_index

In versions previous 0.4.4, we exported a class using c++ to do spatial indexing. It caused bugs on CRAN server and was removed because it was not significantly faster than sf::st_join.

Rework of the K functions

We reworked (version 0.4.4) the functions to calculate K functions on network: kfunctions,kfunctions.mc,cross_kfunctions,cross_kfunctions.mc,k_nt_functions and k_nt_functions.mc. We are still working on the spatio-temporal version of the cross K functions. Also, the current implementation of the G function is quite literal and we will try to replace it by a more interesting one using kernel density for estimation.

Changes in bandwidths selection functions

The version 0.4.4 has modifications in the arguments of the functions bw_cvl_calc, bw_cvl_calc.mc, bw_cv_likelihood_calc, bw_cv_likelihood_calc,bw_tnkde_cv_likelihood_calc.mc. The parameters about bandwidths range and step were replaced by a unique parameter requiring and ordered vector of bandwidths. Code from previous version need to be modified accordingly.

Using cppRouting

A very interesting package has been published with cppRouting. It allows for extremely fast shortest path calculation on network. We are slowly integrating it in spNetwork. The changes are not visible for the users

Moving to sf

Considering that rgeos and maptools will be deprecated soon, we are moving to sf! This requires some adjustment in the code and the documentation. The development version and the releases on CRAN are now using sf. Please, report any bug or error in the documentation.

To install the previous version using sp, rgeos and maptools, you can run the following command:

devtools::install_github("JeremyGelb/spNetwork", ref = "a3bc982")

Note that all the new developments will use sf and you should switch as soon as possible.

Removing gpkgs

Because of a new CRAN policy, it is not possible anymore to read data in gpkg if they are stored in the user library. On Debian systems, this library is now mounted as read-only for checking. All the datasets provided by spNetwork are now stored as .rda file, and can be loaded with the function data.

What is this package ?

This package can be used to perform several types of analysis on geographical networks. This type of network have spatial coordinates associated with their nodes. They can be directed or undirected. In the actual development version the implemented methods are:

  • Network Kernel Density Estimate, a method estimating density of a point pattern constrained on a network (see the vignettes Network Kernel Density Estimate and Details about NKDE).
  • Temporal Network Kernel Density Estimate, a temporal extension of the previous methods Temporal Network Kernel Density Estimate.
  • Spatial weight matrices based on network distances, which can be used in a great number of traditional methods in spatial analysis (see the vignette Spatial Weight Matrices).
  • Network k Functions, used to investigate the spatial distribution of a set of points on a network at several scales (see the vignette Network k Functions).
  • K nearest neighbours, to calculate for each point on a network its K nearest neighbour (see the function network_knn).
  • Graph analysis, using the functions of the package igraph (see the vignette Building graphs)
  • Isochrones, to delineate accessible area around points localized on a network (see the vignette Calculating isochrones)

Calculation on network can be long, efforts were made to reduce computation time by implementing several functions with Rcpp and RcppArmadillo and by using multiprocessing when possible.

Installing

you can install the CRAN version of this package with the following code in R.

install.packages("spNetwork")

To use all the new features before they are available in the CRAN version, you can download the development version.

devtools::install_github("JeremyGelb/spNetwork")

The packages uses mainly the following packages in its internal structure :

  • igraph
  • sf
  • future
  • future.apply
  • data.table
  • Rcpp
  • RcppArmadillo
  • BH

Some examples

We provide here some short examples of several features. Please, check the vignettes for more details.

  • realizing a kernel network density estimate
library(spNetwork)
library(tmap)
library(sf)

# loading the dataset
data(mtl_network)
data(bike_accidents)


# generating sampling points at the middle of lixels
samples <- lines_points_along(mtl_network, 50)

# calculating densities
densities <- nkde(lines = mtl_network,
                 events = bike_accidents,
                 w = rep(1,nrow(bike_accidents)),
                 samples = samples,
                 kernel_name = "quartic",
                 bw = 300, div= "bw",
                 method = "discontinuous",
                 digits = 2, tol =  0.1,
                 grid_shape = c(1,1),
                 max_depth = 8,
                 agg = 5, sparse = TRUE,
                 verbose = FALSE)

densities <- densities*1000
samples$density <- densities

tm_shape(samples) + 
  tm_dots(col = "density", size = 0.05, palette = "viridis",
          n = 7, style = "kmeans")

An extension for spatio-temporal dataset is also available Temporal Network Kernel Density Estimate

  • Building a spatial matrix based on network distance
library(spdep)

# creating a spatial weight matrix for the accidents
listw <- network_listw(bike_accidents,
                       mtl_network,
                       mindist = 10,
                       maxdistance = 400,
                       dist_func = "squared inverse",
                       line_weight = 'length',
                       matrice_type = 'W',
                       grid_shape = c(1,1),
                       verbose=FALSE)

# using the matrix to find isolated accidents (more than 500m)
no_link <- sapply(listw$neighbours, function(n){
  if(sum(n) == 0){
    return(TRUE)
  }else{
    return(FALSE)
  }
})

bike_accidents$isolated <- as.factor(ifelse(no_link,
                                  "isolated","not isolated"))

tm_shape(mtl_network) + 
  tm_lines(col = "black") +
  tm_shape(bike_accidents) + 
  tm_dots(col = "isolated", size = 0.1,
          palette = c("isolated" = "red","not isolated" = "blue"))

Note that you can use this in every spatial analysis you would like to perform. With the converter function of spdep (like listw2mat), you can convert the listw object into regular matrix if needed

  • Calculating k function
# loading the data
data(main_network_mtl)
data(mtl_theatres)

# calculating the k function
kfun_theatre <- kfunctions(main_network_mtl, mtl_theatres,
                           start = 0, end = 5000, step = 50, 
                           width = 1000, nsim = 50, resolution = 50,
                           verbose = FALSE, conf_int = 0.05)
kfun_theatre$plotg

Work in progress

New methods will be probably added in the future, but we will focus on performance for the next release. Do no hesitate to open an issue here if you have suggestion or if you encounter a bug.

Features that will be added to the package in the future:

  • temporal NKDE, a two dimensional kernel density estimation in network space and time
  • rework for using sf objects rather than sp (rgeos and maptools will be deprecated in 2023). This work is undergoing, please report any bug or error in the new documentation.

Reporting a bug

If you encounter a bug when using spNetwork, please open an issue here. To ensure that the problem is quickly identified, the issue should follow the following guidelines:

  1. Provide an informative title and do not copy-paste the error message as the title.
  2. Provide the ALL code which lead to the bug.
  3. Indicate the version of R and spNetwork.
  4. If possible, provide a sample of data and a reproductible example.

Authors

  • Jeremy Gelb - Creator and maintainer

Contribute

To contribute to spNetwork, please follow these guidelines.

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

Citation

An article presenting spNetwork and NKDE has been accepted in the RJournal!

Gelb Jérémy (2021). spNetwork, a package for network kernel density estimation. The R Journal. https://journal.r-project.org/archive/2021/RJ-2021-102/index.html.

You can also cite the package for other methods:

Gelb Jérémy (2021). spNetwork: Spatial Analysis on Network. https://jeremygelb.github.io/spNetwork/.

License

spNetwork is licensed under GPL2 License.

Acknowledgments

  • Hat tip to Philippe Apparicio for his support during the development
  • Hat tip to Hadley Wickham and his helpful book R packages

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Version

Install

install.packages('spNetwork')

Monthly Downloads

2,951

Version

0.4.4.7

License

GPL-2

Maintainer

Jeremy Gelb

Last Published

October 5th, 2025

Functions in spNetwork (0.4.4.7)

check_geometries

Geometry sanity check
bw_cvl_calc.mc

Bandwidth selection by Cronie and Van Lieshout's Criterion (multicore version)
build_graph_cppr

Network generation with cppRouting
calc_isochrones

Isochrones calculation
build_graph_directed

Directed network generation
calcEuclideanDistance3

euclidean distance between rows of a matrix and a vector (arma mode)
bw_tnkde_cv_likelihood_calc.mc

Bandwidth selection by likelihood cross validation for temporal NKDE (multicore)
calc_gamma

Gamma parameter for Abramson’s adaptive bandwidth
continuousfunction2

The main function to calculate continuous NKDE (with ARMADILO and sparse matrix)
corrfactor_continuous_sparse

A function to calculate the necessary information to apply the Diggle correction factor with a continuous method (sparse)
clean_events

Clean events geometries
cross_kfunctions

Network cross k and g functions (maturing)
cosine_kernel

Cosine kernel
corrfactor_discontinuous

A function to calculate the necessary informations to apply the Diggle correction factor with a discontinuous method
cross_kfunctions.mc

Network cross k and g functions (maturing, multicore)
continuousWorker_sparse

The worker function to calculate continuous NKDE (with ARMADILLO and sparse matrix)
corrfactor_discontinuous_sparse

A function to calculate the necessary information to apply the Diggle correction factor with a discontinuous method (sparse)
bw_tnkde_corr_factor

Time and Network bandwidth correction calculation
corrfactor_continuous

A function to calculate the necessary information to apply the Diggle correction factor with a continuous method
correction_factor

Border correction for NKDE
correction_factor_time

Time extent correction for NKDE
closest_points

Find closest points
bw_tnkde_cv_likelihood_calc

Bandwidth selection by likelihood cross validation for temporal NKDE
bw_tnkde_corr_factor_arr

Time and Network bandwidth correction calculation for arrays
ess_kernel_loo_tnkde_adpt

The worker function to calculate simple TNKDE likelihood cv (adaptive case)
esc_kernel_loo_tnkde

The worker function to calculate continuous TNKDE likelihood cv
esc_kernel_loo_tnkde_adpt

The worker function to calculate continuous TNKDE likelihood cv (adaptive case)
continuousfunction

The main function to calculate continuous NKDE (with ARMADILO and integer matrix)
cut_lines_at_distance

Cut lines at a specified distance
direct_lines

Make a network directed
gaussian_kernel_scaled

Scaled gaussian kernel
epanechnikov_kernel

Epanechnikov kernel
ess_kernel_loo_tnkde

The worker function to calculate simple TNKDE likelihood cv
gaussian_kernel_scaled_cpp

c++ scale gaussian kernel
epanechnikov_kernel_cpp

c++ epanechnikov kernel
ess_kernel_loo_nkde

The worker function to calculate simple NKDE likelihood cv
cross_gfunc_cpp

c++ cross g function
cross_kfunc_cpp

c++ cross k function
discontinuousWorker_int

The worker function to calculate discontinuous NKDE (with ARMADILLO and Integer matrix)
kfunctions

Network k and g functions (maturing)
g_nt_func_cpp

c++ g space-time function
kfunc_cpp2

c++ k function 2
gaussian_kernel

Gaussian kernel
discontinuousWorker_sparse

The worker function to calculate discontinuous NKDE (with ARMADILLO and sparse matrix)
k_nt_func_cpp

c++ k space-time function
is_projected

Projection test
epanechnikov_kernelos

c++ epanechnikov kernel for one distance
esc_kernel_loo_nkde

The worker function to calculate continuous TNKDE likelihood cv
gfunc_cpp2

c++ g function
k_nt_functions

Network k and g functions for spatio-temporal data (experimental, NOT READY FOR USE)
k_nt_functions.mc

Network k and g functions for spatio-temporal data (multicore, experimental, NOT READY FOR USE)
nearest_lines

Nearest line for points
gm_mean

Geometric mean
gaussian_kernel_scaledos

c++ scaled gaussian kernel for one distance
gaussian_kernel_cpp

c++ gaussian kernel
gaussian_kernelos

c++ gaussian kernel for one distance
lines_center

Centre points of lines
esd_kernel_loo_tnkde

The worker function to calculate discontinuous TNKDE likelihood cv
esd_kernel_loo_nkde

The worker function to calculate discontinuous TNKDE likelihood cv
graph_checking

Topological error
heal_edges

Heal edges
kfunctions.mc

Network k and g functions (multicore)
lines_coordinates_as_list

Lines coordinates as list
kgfunc_time_counting

c++ k and g function counting worker
kgfunc_cpp2

c++ k and g function
kgfunc_counting

c++ k and g function counting worker
network_knn

K-nearest points on network
nkde.mc

Network Kernel density estimate (multicore)
continuousWorker

The worker function to calculate continuous NKDE (with ARMADILLO and integer matrix)
nkde

Network Kernel density estimate
network_listw_worker

network_listw worker
mtl_network

Road network of Montreal
lines_direction

Unify lines direction
cosine_kernel_cpp

c++ cosine kernel
cosine_kernelos

c++ cosine kernel for one distance
nkde_worker_bw_sel

Bandwidth selection by likelihood cross validation worker function
mtl_theatres

Theatres of Montreal
nkde_worker

NKDE worker
dist_mat_dupl

Distance matrix with dupicated
discontinuousfunction

The main function to calculate discontinuous NKDE (ARMA and sparse matrix)
remove_loop_lines

Remove loops
remove_mirror_edges

Remove mirror edges
lines_extremities

Get lines extremities
nearestPointOnLine

Nearest point on Line
nearestPointOnSegment

Nearest point on segment
pair_dists

pairwise distance between two vectors
plot_graph

Plot graph
nkde_get_loo_values

The exposed function to calculate NKDE likelihood cv
gfunc_cpp

c++ g function
ess_kernel

Worker for simple NKDE algorithm
esd_kernel_loo_tnkde_adpt

The worker function to calculate discontinuous TNKDE likelihood cv (adaptive case)
quartic_kernel

Quartic kernel
gfunc_counting

c++ g function counting worker
prepare_elements_netlistw

Data preparation for network_listw
lines_points_along

Points along lines
sp_char_index

Coordinates to unique character vector
split_border

Split boundary of polygon
quartic_kernelos

c++ quartic kernel for one distance
quartic_kernel_cpp

c++ quartic kernel
list_coordinates_as_lines

List of coordinates as lines
snapPointsToLines2

Snap points to lines
spNetwork-package

spNetwork: Spatial Analysis on Network
tnkdecontinuousfunction

The main function to calculate continuous TNKDE (with ARMADILO and sparse matrix)
reverse_lines

Reverse lines
rev_matrix

Rervese the elements in a matrix
tnkdediscontinuousfunction

The main function to calculate discontinuous NKDE (ARMA and Integer matrix)
tricube_kernel

Tricube kernel
main_network_mtl

Primary road network of Montreal
tricube_kernel_cpp

c++ tricube kernel
mtl_libraries

Libraries of Montreal
split_graph_components

Split graph components
split_lines_at_vertex

Split lines at vertices in a feature collection of linestrings
simplify_network

Simplify a network
worker_adaptive_bw_tnkde

Worker function for adaptive bandwidth for TNDE
kfunc_cpp

c++ k function
kfunc_counting

c++ k function counting worker
lixelize_lines.mc

Cut lines into lixels (multicore)
sanity_check_knn

Sanity check for the knn functions
lixelize_lines

Cut lines into lixels
small_mtl_network

Smaller subset road network of Montreal
select_dist_function

Select the distance to weight function
network_listw

Network distance listw
st_bbox_by_feature

Obtain all the bounding boxes of a feature collection
triangle_kernel_cpp

c++ triangle kernel
triangle_kernelos

c++ triangle kernel for one distance
network_knn.mc

K-nearest points on network (multicore version)
network_knn_worker

worker function for K-nearest points on network
uniform_kernelos

c++ uniform kernel for one distance
uniform_kernel_cpp

c++ uniform kernel
st_bbox_geom

sf geometry bbox
network_listw.mc

Network distance listw (multicore)
prep_kfuncs_results

Preparing results for K functions
prepare_data

Prior data preparation
split_by_grid_abw.mc

Split data with a grid for the adaptive bw function (multicore)
split_by_grid_abw

Split data with a grid for the adaptive bw function
tnkde_worker

TNKDE worker
tnkde_worker_bw_sel

Worker function fo Bandwidth selection by likelihood cross validation for temporal NKDE
select_kernel

Select kernel function
tricube_kernelos

c++ tricube kernel for one distance
trim_lines_at

Helper for isochrones lines cutting
simple_lines

LineString to simple Line
simple_nkde

Simple NKDE algorithm
simple_tnkde

Simple TNKDE algorithm
tnkde_get_loo_values2

The exposed function to calculate TNKDE likelihood cv
tnkde_get_loo_values

The exposed function to calculate TNKDE likelihood cv
triweight_kernelos

c++ triweight kernel for one distance
triweight_kernel

Triweight kernel
tkde

Temporal Kernel density estimate
surrounding_points

Points along polygon boundary
uniform_kernel

Uniform kernel
split_by_grid.mc

Split data with a grid
split_by_grid

Split data with a grid
triweight_kernel_cpp

c++ triweight kernel
tnkde.mc

Temporal Network Kernel density estimate (multicore)
tnkde

Temporal Network Kernel density estimate
triangle_kernel

triangle kernel
tnkdediscontinuousfunctionsparse

The main function to calculate discontinuous NKDE (ARMA and sparse matrix)
adaptive_bw.mc

Adaptive bandwidth (multicore)
aggregate_points

Events aggregation
adaptive_bw_tnkde_cpp2

The exposed function to calculate adaptive bandwidth with space-time interaction for TNKDE (INTERNAL)
adaptive_bw_tnkde_cpp

The exposed function to calculate adaptive bandwidth with space-time interaction for TNKDE (INTERNAL)
bw_cv_likelihood_calc_tkde

Bandwidth selection for Temporal Kernel density estimate by likelihood cross validation
bw_cv_likelihood_calc

Bandwidth selection by likelihood cross validation
bw_cv_likelihood_calc.mc

Bandwidth selection by likelihood cross validation (multicore)
build_graph

Network generation with igraph
bw_checks

Check function for parameters in bandwidth selection methods
bike_accidents

Road accidents including a bicyle in Montreal in 2016
adaptive_bw

Adaptive bandwidth
build_grid

Spatial grid
adaptive_bw_tnkde

Adaptive bandwidth for TNDE
add_vertices_lines

Add vertices to a feature collection of linestrings
adaptive_bw_tnkde.mc

Adaptive bandwidth for TNDE (multicore)
add_center_lines

Add center vertex to lines
bw_cvl_calc

Bandwidth selection by Cronie and Van Lieshout's Criterion
adaptive_bw_1d

Adaptive bw in one dimension