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spatstat (version 1.14-10)

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

18,534

Version

1.14-10

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

March 22nd, 2025

Functions in spatstat (1.14-10)

The Area Interaction Point Process Model

Geyer's Saturation Point Process Model

K-function using FFT

Apply Function to Image Broken Down by Factor

Estimate the empty space function F

Inhomogeneous K-function

Convert to Pixel Image

Convert Pixel Image to Matrix

Multitype K Function (Cross-type)

Data Frames of Function Values

Convex Hull of Points

Apply Affine Transformation

Pairwise distances between two different point patterns

Determine Duplicated Points in a Spatial Point Pattern

The Lennard-Jones Potential

Basis for Harmonic Functions

Generic Pairwise Interaction model

Diggle-Gratton model

Marked J Function

Fit the Matern Cluster Point Process by Minimum Contrast

compatible.fasp

Test Whether Two Function Arrays Are Compatible

Apply Gaussian Blur to a Pixel Image

Quadrature Scheme Based on Pixel Grid

The Spatstat Package

Test Whether Two Pixel Images Are Compatible

The Strauss / Hard Core Point Process Model

Dirichlet Tessellation of Point Pattern

Combine Two Line Segment Patterns

adaptive.density

Intensity Estimate of Point Pattern Using Tessellation

Marked Nearest Neighbour Distance Function

Test Whether An Object Is A Pixel Image

New Zealand Trees Point Pattern

Apply Affine Transformation To Line Segment Pattern

Calculate Summary Statistic for All Types in a Multitype Point Pattern

Pairwise distances

plot.hyperframe

Plot Entries in a Hyperframe

Interactively Define a Polygon

Hybrid Geyer Point Process Model

Pine saplings in Finland.

Create a Pixel Image Object

Fit cluster point process model

plot a Spatial Line Segment Pattern

Circular Window

Weighted Empirical Cumulative Distribution Function

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

Estimate the J-function

Level Set of a Pixel Image

Evaluate an Expression in Each Row of a Hyperframe

Plot a Spatial Window

Nearest Neighbour Distance Function G

Compute Quadrature Weights Based on Grid Counts

density.splitppp

Kernel Smoothed Intensity of Split Point Pattern

Q-Q Plot of Residuals from Fitted Point Process Model

Find Line Segment Nearest to Each Point

Simulate Matern Model I

Coefficients of Fitted Point Process Model

Distance to Boundary of Window

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

Compute Images of Constructed Covariates

Evaluate Expression Involving Pixel Images

Inhomogeneous Multitype K Dot Function

Biological Cells Point Pattern

Bounding Box of a Window or Point Pattern

Humberside Data on Childhood Leukaemia and Lymphoma

Distance Map of Window

The Strauss Point Process Model

Convert Data To Tessellation

Reduced Second Moment Measure

Print Brief Details of a Spatial Window

spatstat-internal

Internal spatstat functions

Multitype K Function (i-to-any)

Pixel Image Approximation of a Window

Sample Quantiles of Pixel Image

Apply Affine Transformation To Point Pattern

ANOVA for Fitted Point Process Models

Hutchings' Bramble Canes data

Extract the Interaction from a Fitted Point Process Model

Convert dataset to another unit of length

Nearest neighbour

Kernel Smoothed Intensity of Point Pattern

Morphological Opening of a Window

Delaunay Triangulation of Point Pattern

Aherne's hamster tumour data

Pairwise distances between line segments

Multitype L-function (cross-type)

Classify Points in a Point Pattern

Multitype L-function (i-to-any)

Beadlet Anemones Data

Fit the Thomas Point Process by Minimum Contrast

Create a Window

Rotate a Line Segment Pattern

Simulate Matern Cluster Process

Generic Ord Interaction model

Harkness-Isham ants' nests data

Identify Points in a Point Pattern

Kernel Smoothing of Line Segment Pattern

Test Whether An Object Is A Window

bounding.box.xy

Convex Hull of Points

complement.owin

Take Complement of a Window

Mean, Median and Range of Pixel Values in an Image

Apply Affine Transformation To Window

Centroid of a window

Morphological Closing of a Window

Random Re-Labelling of Point Pattern

Apply a Function to a Point Pattern Broken Down by Factor

Contour plot of pixel image

Chorley-Ribble Cancer Data

Window in Shape of Letter R

Class of Point Patterns

Nearest neighbour distances between line segments

Place Points Evenly Along Specified Lines

Multitype J Function (i-to-j)

Define Point Process Model for Metropolis-Hastings Simulation.

Estimate the I-function

Histogram of Pixel Values in an Image

Random Thinning

Inhomogeneous Cross K Function

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

Clark and Evans Aggregation Index

Generate N Uniform Random Points in a Disc

Convert Polygonal Region into Different Format

Diagnostic Plots for Fitted Point Process Model

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

Simulation envelopes of summary function

Difference of Disc Areas

Pair Correlation Function obtained from K Function

The Piecewise Constant Pairwise Interaction Point Process Model

Pair Correlation Function of Point Pattern

Test Whether Two Function Objects Are Compatible

The Soft Core Point Process Model

Endpoints of Line Segment Pattern

Class of Fitted Point Process Models

Convert Pixel Image from Numeric to Factor

Interactively Add Points

Simulate Neyman-Scott Process

Diameter of a Window

Test Whether An Object Is A Point Pattern

Distance Map of Line Segment Pattern

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

Plot a Pixel Image

Summarizing a Pixel Image

Perfect Simulation of the Strauss Process

Saturated Pairwise Interaction model

Safely Convert Point Pattern Window to Binary Mask

Concatenate x,y Coordinate Vectors

Tropical rain forest trees

Marked K-Function

Corners of a rectangle

Expand Window By Factor

Plot a List of Point Patterns

pppmatching.object

Class of Point Matchings

nearest.raster.point

Find Pixel Nearest to a Given Point

Orientation Angles of Line Segments

Berman-Huntington points and lines data

Point Patterns of New Brunswick Forest Fires

Simulate a fitted cluster point process model.

Generate a Quadrature Scheme from a Point Pattern

Generate a Default Pattern of Dummy Points

Crossing Points of Two Line Segment Patterns

Class of Quadrature Schemes

Rectangular grid of points

Areas of Morphological Erosions

Multitype J Function (i-to-any)

Beta Ganglion Cells in Cat Retina, Old Version

Dilate a Window

Generate N Random Multitype Points

Interpolate a Pixel Image

Ponderosa Pine Tree Point Pattern

Function Arrays for Spatial Patterns

Test Whether An Object Is A Fitted Point Process Model

The Multitype Strauss Point Process Model

Simulated Point Pattern

Ord's Interaction model

Piecewise Constant Saturated Pairwise Interaction Point Process Model

Subset of Quadrature Scheme

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

Apply Function to Every Neighbourhood in a Point Pattern

Summary of a List of Things

Convert Data To Class owin

Test Whether Points Are Inside A Window

Pairwise distances

Evaluate Expression Involving Function Arrays

California Redwoods Point Pattern (Entire Dataset)

Lengths of Line Segments

Convert Data To Class psp

Extract Original Data from a Fitted Point Process Model

Print Brief Details of an Image

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Pairwise distances between two different line segment patterns

Extract Dummy Points Used to Fit a Point Process Model

Exponential Energy Marks

Find Largest Circle Inside Window

Fitted Conditional Intensity for Point Process Model

Beta Ganglion Cells in Cat Retina

Lansing Woods Point Pattern

Determine Whether One Window is Contained In Another

Convert Point Pattern to Another Unit of Length

Evaluate Expression Involving Functions

Area of a Window

Set Covariance of a Window

Randomly Shift a Line Segment Pattern

Profile Maximum Pseudolikelihood

Estimate window from points alone

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

Simulate Simple Sequential Inhibition

Hyper Data Frame

Urkiola Woods Point Pattern

is.multitype.ppm

Test Whether A Point Process Model is Multitype

Spokes pattern of dummy points

Lurking variable plot

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Test Whether A Point Process Model is Marked

Extract or Replace Subset of a List of Things

Extract Subset of Image

Simulate Stratified Random Point Pattern

Artificial Data Point Pattern

Kaplan-Meier and Reduced Sample Estimator using Histograms

Test whether Object is Multitype

Simulate systematic random point pattern

Distance to Boundary of Window

Summarizing a Quadrature Scheme

Kaplan-Meier Estimator using Histogram Data

Create a Point Pattern

Union of Data and Dummy Points

Convert Data To Class ppp

inforder.family

Infinite Order Interaction Family

Plot a Function Array

Plot a List of Things

Hughes' Amacrine Cell Data

Distance Between Two Point Patterns

Compute Integral of Function Against Cumulative Distribution

Midpoints of Line Segment Pattern

Pair Correlation Function obtained from array of K functions

Update a Fitted Cluster Point Process Model

Pairwise distances

Distance for a Point Pattern Matching

plot a Spatial Point Pattern

Superimpose Several Line Segment Patterns

Class of Images

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern

Quadrat counting for a point pattern

Log Likelihood for Poisson Point Process Model

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame

Random Perturbation of a Point Pattern

Summarise Marks in Every Neighbourhood in a Point Pattern

Prediction from a Fitted Cluster Point Process Model

Intersection of Two Tessellations

Mark Correlation Function

pairwise.family

Pairwise Interaction Process Family

Print a Fitted Point Process Model

Convert Line Segment Pattern to Another Unit of Length

Convert Point Pattern to Pixel Image

Superimpose Several Point Patterns

Multitype pair correlation function

Fry Plot of Point Pattern

Longleaf Pines Point Pattern

Neighbourhood density function

Extract Unique Points from a Spatial Point Pattern

Morishita Index Plot

Fit Point Process Model to Data

plot a Fitted Point Process Model

plot a Spatial Quadrature Scheme

Nearest Neighbour in Another Point Pattern

Plot a tessellation

Print Progress Reports

Nearest-Neighbour Correlation of Marked Point Pattern

Prediction from a Fitted Point Process Model

Summary of a Line Segment Pattern Dataset

Distance Map of Point Pattern

Create a Line Segment Pattern

Ord Interaction Process Family

Intersection or Union of Two Windows

Data and Code From JRSS Discussion Paper on Residuals

multiplicity.ppp

Count Multiplicity of Duplicate Points

Plot a fitted cluster point process

Test Whether Marks Are Present

Extract Quadrature Scheme Used to Fit a Point Process Model

Method of Minimum Contrast

Murchison gold deposits

Plot a plotppm Object Created by plot.ppm

Residuals for Fitted Point Process Model

project2segment

Move Point To Nearest Line

Rotate a Window

Print Brief Details of a Line Segment Pattern Dataset

Print Brief Details of a Point Pattern Dataset

Simulate Thomas Process

runifpointOnLines

Generate N Uniform Random Points On Line Segments

Kolmogorov-Smirnov Test for Point Process Model

model.matrix.ppm

Extract Design Matrix from Point Process Model

Create a Point Matching

Class of Line Segment Patterns

Determine Initial State for Metropolis-Hastings Simulation.

Simulate from a Fitted Point Process Model

Test Whether A Point Pattern is Marked

Divide Region into Quadrats

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Generate Poisson Random Line Process

Reset Values in Subset of Image

Simulate Baddeley-Silverman Cell Process

Interpret Fitted Model for Metropolis-Hastings Simulation.

Reduced Sample Estimator using Histogram Data

quadrat.test.splitppp

Chi-Squared Test of CSR for Split Point Pattern

Convert Window to Another Unit of Length

Generate grid of parallel lines with random displacement

Update a Fitted Point Process Model

summary.splitppp

Summary of a Split Point Pattern

quadratresample

Resample a Point Pattern by Resampling Quadrats

California Redwoods Point Pattern (Ripley's Subset)

Simulate Gauss-Poisson Process

Simulate point patterns using the Metropolis-Hastings algorithm.

Convert Pixel Image to Another Unit of Length

Generate N Uniform Random Points

rshift.splitppp

Randomly Shift a List of Point Patterns

Nearest neighbour distances

Apply Vector Translation To Window

Japanese Pines Point Pattern

Generate Multitype Poisson Point Pattern

Generate Poisson Point Pattern

Apply Vector Translation To Pixel Image

Apply Vector Translation To Line Segment Pattern

rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.

Generate Poisson Point Pattern on Line Segments

Perspective Plot of Pixel Image

Randomly Shift a Point Pattern

Saturated Pairwise Interaction Point Process Family

pairdist.default

Pairwise distances

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

Swedish Pines Point Pattern

Set Control Parameters for Metropolis-Hastings Algorithm.

Divide Point Pattern into Sub-patterns

Spatial smoothing of observations at irregular points

Divide Image Into Sub-images

spatstat.options

Internal Options in Spatstat Package

Extract Subset of Function Array

rescue.rectangle

Convert Window Back To Rectangle

Extract or Replace Subset of Tessellation

Extract Subset of Line Segment Pattern

Summary of a Spatial Window

Sufficient Statistic of Point Process Model

Spruces Point Pattern

Create a Tessellation

Print a Quadrature Scheme

Cut margins from rectangle

Cartesian Coordinates for a Pixel Raster

Define Point Process Model for Metropolis-Hastings Simulation.

Name for Unit of Length

Poisson Point Process Model

Calculate four standard summary functions of a point pattern.

Vertices of a Window

Extract Subset of Function Values

Interaction Distance of a Point Process

spatstat-deprecated

Deprecated spatstat functions

crossdist.default

Pairwise distances between two different sets of points

Read Point Pattern From Data File

Plot Function Valuesn

Summarizing a Fitted Point Process Model

Summary of a Point Pattern Dataset

Generate N Random Points

Extract or Replace Subset of Point Pattern

Evaluate an Expression in a Function Table

Extract List of Tiles in a Tessellation

Apply Vector Translation

Apply Vector Translation To Point Pattern

Simulate Matern Model II

Rotate a Point Pattern

Set or Reset the Marks in a Point Pattern

Variance-Covariance Matrix for a Fitted Point Process Model

subset.splitppp

Extract or Replace Sub-Patterns

Pair Correlation Function