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spatstat (version 1.14-0)

Spatial Point Pattern analysis, model-fitting, simulation, tests

Description

A package for analysing spatial data, mainly Spatial Point Patterns, including multitype/marked points and spatial covariates, in any two-dimensional spatial region. Contains functions for plotting spatial data, exploratory data analysis, model-fitting, simulation, spatial sampling, model diagnostics, and formal inference. Data types include point patterns, line segment patterns, spatial windows, and pixel images. Point process models can be fitted to point pattern data. Cluster type models are fitted by the method of minimum contrast. Very general Gibbs point process models can be fitted to point pattern data using a function ppm similar to lm or glm. Models may include dependence on covariates, interpoint interaction and dependence on marks. Fitted models can be simulated automatically. Also provides facilities for formal inference (such as chi-squared tests) and model diagnostics (including simulation envelopes, residuals, residual plots and Q-Q plots).

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Version

Install

install.packages('spatstat')

Monthly Downloads

22,386

Version

1.14-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

February 1st, 2026

Functions in spatstat (1.14-0)

Interactively Define a Polygon

Ord's Interaction model

Apply a Function to a Point Pattern Broken Down by Factor

Berman-Huntington points and lines data

Tropical rain forest trees

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

Beadlet Anemones Data

Ponderosa Pine Tree Point Pattern

Diameter of a Window

Clark and Evans Aggregation Index

Harkness-Isham ants' nests data

Nearest Neighbour Distance Function G

Extract Dummy Points Used to Fit a Point Process Model

crossdist.default

Pairwise distances between two different sets of points

Evaluate Expression Involving Pixel Images

Distance Map of Window

The Spatstat Package

spatstat-deprecated

Deprecated spatstat functions

Calculate Summary Statistic for All Types in a Multitype Point Pattern

Level Set of a Pixel Image

Fit cluster point process model

Generate a Default Pattern of Dummy Points

Distance Map of Point Pattern

Nearest-Neighbour Correlation of Marked Point Pattern

Chorley-Ribble Cancer Data

The Lennard-Jones Potential

Pairwise distances between two different line segment patterns

Orientation Angles of Line Segments

Hutchings' Bramble Canes data

Saturated Pairwise Interaction model

Reduced Second Moment Measure

Marked J Function

Determine Duplicated Points in a Spatial Point Pattern

Concatenate x,y Coordinate Vectors

Print Brief Details of a Spatial Window

Pixel Image Approximation of a Window

Multitype K Function (i-to-any)

plot a Spatial Quadrature Scheme

bounding.box.xy

Convex Hull of Points

Apply Function to Every Neighbourhood in a Point Pattern

Hybrid Geyer Point Process Model

Estimate the empty space function F

Weighted Empirical Cumulative Distribution Function

Classify Points in a Point Pattern

pairwise.family

Pairwise Interaction Process Family

Pairwise distances

Geyer's Saturation Point Process Model

Multitype Nearest Neighbour Distance Function (i-to-j)

Nearest neighbour

Identify Points in a Point Pattern

Kernel Smoothing of Line Segment Pattern

Multitype J Function (i-to-any)

Intersection or Union of Two Windows

Class of Quadrature Schemes

density.splitppp

Kernel Smoothed Intensity of Split Point Pattern

Extract Original Data from a Fitted Point Process Model

Test Whether Two Function Objects Are Compatible

Beta Ganglion Cells in Cat Retina, Old Version

Convert Pixel Image to Matrix

Pairwise distances

Fit the Matern Cluster Point Process by Minimum Contrast

Prediction from a Fitted Cluster Point Process Model

Test Whether An Object Is A Pixel Image

Kaplan-Meier and Reduced Sample Estimator using Histograms

Neighbourhood density function

Convert Data To Class ppp

Expand Window By Factor

Test Whether Two Pixel Images Are Compatible

Print Brief Details of a Point Pattern Dataset

Aherne's hamster tumour data

Mean Pixel Value in an Image

The Area Interaction Point Process Model

Bounding Box of a Window or Point Pattern

Combine Two Line Segment Patterns

Interactively Add Points

Histogram of Pixel Values in an Image

Inhomogeneous K-function

Centroid of a window

is.multitype.ppm

Test Whether A Point Process Model is Multitype

Japanese Pines Point Pattern

plot a Spatial Line Segment Pattern

Area of a Window

Pairwise distances between line segments

Plot a Function Array

Multitype L-function (i-to-any)

Kernel Smoothed Intensity of Point Pattern

Apply Gaussian Blur to a Pixel Image

Evaluate an Expression in Each Row of a Hyperframe

Create a Line Segment Pattern

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Generate N Uniform Random Points

Distance to Boundary of Window

Difference of Disc Areas

Nearest Neighbour in Another Point Pattern

inforder.family

Infinite Order Interaction Family

Kolmogorov-Smirnov Test for Point Process Model

Artificial Data Point Pattern

Convert Data To Class psp

Convert Polygonal Region into Different Format

Spruces Point Pattern

Poisson Point Process Model

Estimate the I-function

Lurking variable plot

Safely Convert Point Pattern Window to Binary Mask

Pine saplings in Finland.

Evaluate Expression Involving Function Arrays

Multitype K Function (Cross-type)

multiplicity.ppp

Count Multiplicity of Duplicate Points

Lansing Woods Point Pattern

Inhomogeneous Cross K Function

Pair Correlation Function obtained from array of K functions

model.matrix.ppm

Extract Design Matrix from Point Process Model

Apply Affine Transformation To Window

Apply Affine Transformation To Point Pattern

Hughes' Amacrine Cell Data

Pair Correlation Function

Piecewise Constant Saturated Pairwise Interaction Point Process Model

Plot a tessellation

Log Likelihood for Poisson Point Process Model

Class of Fitted Point Process Models

Spokes pattern of dummy points

Function Arrays for Spatial Patterns

plot.hyperframe

Plot Entries in a Hyperframe

Convex Hull of Points

Marked K-Function

Interpolate a Pixel Image

Dilate a Window

Diagnostic Plots for Fitted Point Process Model

Apply Affine Transformation To Line Segment Pattern

Compute Images of Constructed Covariates

Print Brief Details of a Line Segment Pattern Dataset

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Summarizing a Quadrature Scheme

Class of Line Segment Patterns

Class of Point Patterns

Test Whether An Object Is A Point Pattern

Crossing Points of Two Line Segment Patterns

Generate a Quadrature Scheme from a Point Pattern

Rotate a Window

Define Point Process Model for Metropolis-Hastings Simulation.

Distance Between Two Point Patterns

Prediction from a Fitted Point Process Model

Data Frames of Function Values

pppmatching.object

Class of Point Matchings

Rotate a Line Segment Pattern

Print a Quadrature Scheme

Print Brief Details of an Image

Simulate Matern Cluster Process

Test Whether An Object Is A Fitted Point Process Model

Summarizing a Fitted Point Process Model

Multitype J Function (i-to-j)

plot a Fitted Point Process Model

Create a Pixel Image Object

Q-Q Plot of Residuals from Fitted Point Process Model

Exponential Energy Marks

Window in Shape of Letter R

Extract Subset of Image

Profile Maximum Pseudolikelihood

Simulate a fitted cluster point process model.

Print Progress Reports

nearest.raster.point

Find Pixel Nearest to a Given Point

Simulate from a Fitted Point Process Model

Apply Vector Translation To Line Segment Pattern

Convert Data To Class owin

Nearest neighbour distances

Coefficients of Fitted Point Process Model

Test whether Object is Multitype

Create a Point Matching

Set Covariance of a Window

Rotate a Point Pattern

Summarizing a Pixel Image

Compute Quadrature Weights Based on Grid Counts

Distance to Boundary of Window

Convert Pixel Image from Numeric to Factor

Cut margins from rectangle

Inhomogeneous Multitype K Dot Function

Spatial smoothing of observations at irregular points

Ord Interaction Process Family

The Soft Core Point Process Model

Apply Vector Translation To Point Pattern

Corners of a rectangle

The Strauss Point Process Model

Random Thinning

Simulate Neyman-Scott Process

spatstat-internal

Internal spatstat functions

Plot a List of Things

Create a Point Pattern

compatible.fasp

Test Whether Two Function Arrays Are Compatible

The Multitype Strauss Point Process Model

Create a Window

New Zealand Trees Point Pattern

Vertices of a Window

Evaluate Expression Involving Functions

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern

Extract List of Tiles in a Tessellation

Interpret Fitted Model for Metropolis-Hastings Simulation.

Chi-Squared Dispersion Test for Spatial Point Pattern Based on Quadrat Counts

The Piecewise Constant Pairwise Interaction Point Process Model

Compute Fitted Effect of a Spatial Covariate in a Point Process Model

plot a Spatial Point Pattern

Generic Pairwise Interaction model

Simulate Stratified Random Point Pattern

Saturated Pairwise Interaction Point Process Family

Distance Map of Line Segment Pattern

Generate N Random Multitype Points

Generic Ord Interaction model

Plot Function Valuesn

subset.splitppp

Extract or Replace Sub-Patterns

Test Whether Marks Are Present

Residuals for Fitted Point Process Model

Estimate the J-function

Areas of Morphological Erosions

Divide Point Pattern into Sub-patterns

Reduced Sample Estimator using Histogram Data

Apply Affine Transformation

Apply Vector Translation To Pixel Image

Biological Cells Point Pattern

Extract the Interaction from a Fitted Point Process Model

Interaction Distance of a Point Process

rshift.splitppp

Randomly Shift a List of Point Patterns

pairdist.default

Pairwise distances

Convert to Pixel Image

complement.owin

Take Complement of a Window

Test Whether A Point Process Model is Marked

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

Pairwise distances between two different point patterns

Fitted Conditional Intensity for Point Process Model

Print a Fitted Point Process Model

Sample Quantiles of Pixel Image

Plot a plotppm Object Created by plot.ppm

Union of Data and Dummy Points

Beta Ganglion Cells in Cat Retina

Summary of a Point Pattern Dataset

Multitype Nearest Neighbour Distance Function (i-to-any)

Method of Minimum Contrast

Simulate Thomas Process

Compute Integral of Function Against Cumulative Distribution

Determine Initial State for Metropolis-Hastings Simulation.

Simulation envelopes of summary function

Generate N Uniform Random Points in a Disc

Set or Reset the Marks in a Point Pattern

California Redwoods Point Pattern (Entire Dataset)

rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.

Summary of a List of Things

Randomly Shift a Point Pattern

Simulated Point Pattern

Kaplan-Meier Estimator using Histogram Data

Convert Point Pattern to Another Unit of Length

Multitype L-function (cross-type)

Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True

Longleaf Pines Point Pattern

Extract or Replace Subset of Tessellation

Summary of a Line Segment Pattern Dataset

Convert Line Segment Pattern to Another Unit of Length

Perspective Plot of Pixel Image

Plot a Pixel Image

Mark Correlation Function

Generate Poisson Point Pattern

Test Whether An Object Is A Window

Endpoints of Line Segment Pattern

Extract Subset of Function Array

Contour plot of pixel image

The Strauss / Hard Core Point Process Model

Simulate Simple Sequential Inhibition

Diggle-Gratton model

Set Control Parameters for Metropolis-Hastings Algorithm.

Simulate Gauss-Poisson Process

Simulate point patterns using the Metropolis-Hastings algorithm.

Determine Whether One Window is Contained In Another

ANOVA for Fitted Point Process Models

Generate N Random Points

Update a Fitted Cluster Point Process Model

Swedish Pines Point Pattern

Update a Fitted Point Process Model

Generate Multitype Poisson Point Pattern

Superimpose Several Point Patterns

Distance for a Point Pattern Matching

Estimate window from points alone

Generate grid of parallel lines with random displacement

Summarise Marks in Every Neighbourhood in a Point Pattern

Lengths of Line Segments

Extract Quadrature Scheme Used to Fit a Point Process Model

Rectangular grid of points

Class of Images

Random Re-Labelling of Point Pattern

Remove Marks from a Marked Point Pattern

Calculate four standard summary functions of a point pattern.

Test Whether Points Are Inside A Window

California Redwoods Point Pattern (Ripley's Subset)

Circular Window

Fit the Thomas Point Process by Minimum Contrast

Midpoints of Line Segment Pattern

Apply Vector Translation To Window

Convert dataset to another unit of length

Simulate Matern Model I

Plot a List of Point Patterns

Summary of a Spatial Window

K-function using FFT

Convert Window to Another Unit of Length

Simulate systematic random point pattern

Randomly Shift a Line Segment Pattern

Simulate Baddeley-Silverman Cell Process

Extract or Replace Subset of Point Pattern

Quadrat counting for a point pattern

Sufficient Statistic of Point Process Model

spatstat.options

Internal Options in Spatstat Package

Read Point Pattern From Data File

Perfect Simulation of the Strauss Process

Cartesian Coordinates for a Pixel Raster

Dirichlet Tessellation of Point Pattern

Extract Subset of Line Segment Pattern

Fit Point Process Model to Data

Generate Poisson Random Line Process

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Point Patterns of New Brunswick Forest Fires

Extract or Replace Subset of a List of Things

Create a Tessellation

rescue.rectangle

Convert Window Back To Rectangle

Humberside Data on Childhood Leukaemia and Lymphoma

Define Point Process Model for Metropolis-Hastings Simulation.

Hyper Data Frame

Evaluate an Expression in a Function Table

Nearest neighbour distances between line segments

Plot a fitted cluster point process

Data and Code From JRSS Discussion Paper on Residuals

Simulate Matern Model II

Pairwise distances

Reset Values in Subset of Image

Urkiola Woods Point Pattern

Name for Unit of Length

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

Test Whether A Point Pattern is Marked

Pair Correlation Function obtained from K Function

Plot a Spatial Window

Pair Correlation Function of Point Pattern

Marked Nearest Neighbour Distance Function

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Extract Subset of Function Values

Variance-Covariance Matrix for a Fitted Point Process Model

Apply Vector Translation

Extract Unique Points from a Spatial Point Pattern

Basis for Harmonic Functions

Random Perturbation of a Point Pattern

summary.splitppp

Summary of a Split Point Pattern