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spatstat (version 1.14-5)

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

1.14-5

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

March 22nd, 2025

Functions in spatstat (1.14-5)

Fitted Conditional Intensity for Point Process Model

Diameter of a Window

Log Likelihood for Poisson Point Process Model

Multitype pair correlation function

Plot a Function Array

Determine Initial State for Metropolis-Hastings Simulation.

Class of Line Segment Patterns

Random Re-Labelling of Point Pattern

Simulate systematic random point pattern

Summary of a List of Things

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern

Lengths of Line Segments

Read Point Pattern From Data File

Convert Pixel Image from Numeric to Factor

Function Arrays for Spatial Patterns

Distance Map of Window

Data Frames of Function Values

Simulate Matern Model I

Exponential Energy Marks

spatstat-deprecated

Deprecated spatstat functions

Pairwise distances between two different point patterns

Fit Point Process Model to Data

Weighted Empirical Cumulative Distribution Function

Simulate Matern Model II

Extract or Replace Subset of a List of Things

Compute Quadrature Weights Based on Grid Counts

Point Patterns of New Brunswick Forest Fires

plot a Fitted Point Process Model

Endpoints of Line Segment Pattern

Dilate a Window

Kolmogorov-Smirnov Test for Point Process Model

Dirichlet Tessellation of Point Pattern

Test Whether A Point Process Model is Marked

Test Whether Points Are Inside A Window

Extract or Replace Subset of Point Pattern

Update a Fitted Point Process Model

Quadrature Scheme Based on Pixel Grid

Generate a Default Pattern of Dummy Points

Quadrat counting for a point pattern

Superimpose Several Point Patterns

Basis for Harmonic Functions

Window in Shape of Letter R

Create a Window

Coefficients of Fitted Point Process Model

Japanese Pines Point Pattern

Union of Data and Dummy Points

Create a Tessellation

plot a Spatial Point Pattern

Data and Code From JRSS Discussion Paper on Residuals

Test Whether An Object Is A Point Pattern

Convert Point Pattern to Another Unit of Length

Neighbourhood density function

Pairwise distances between two different line segment patterns

Murchison gold deposits

Extract Dummy Points Used to Fit a Point Process Model

Beta Ganglion Cells in Cat Retina, Old Version

Convert Line Segment Pattern to Another Unit of Length

Areas of Morphological Erosions

Pine saplings in Finland.

Print Brief Details of an Image

Convert Pixel Image to Another Unit of Length

Crossing Points of Two Line Segment Patterns

Expand Window By Factor

Corners of a rectangle

Apply Function to Image Broken Down by Factor

Plot a plotppm Object Created by plot.ppm

Lansing Woods Point Pattern

Intersection or Union of Two Windows

Diagnostic Plots for Fitted Point Process Model

Artificial Data Point Pattern

Mean, Median and Range of Pixel Values in an Image

Find Largest Circle Inside Window

multiplicity.ppp

Count Multiplicity of Duplicate Points

Generate N Random Multitype Points

Marked K-Function

Print Brief Details of a Line Segment Pattern Dataset

Evaluate an Expression in a Function Table

Pair Correlation Function of Point Pattern

Ord Interaction Process Family

Fit the Matern Cluster Point Process by Minimum Contrast

Safely Convert Point Pattern Window to Binary Mask

Evaluate Expression Involving Pixel Images

Generate Poisson Point Pattern

Rotate a Line Segment Pattern

is.multitype.ppm

Test Whether A Point Process Model is Multitype

Reduced Sample Estimator using Histogram Data

Hybrid Geyer Point Process Model

Test whether Object is Multitype

plot a Spatial Line Segment Pattern

Plot a fitted cluster point process

quadratresample

Resample a Point Pattern by Resampling Quadrats

pairwise.family

Pairwise Interaction Process Family

Set Control Parameters for Metropolis-Hastings Algorithm.

Simulate point patterns using the Metropolis-Hastings algorithm.

Randomly Shift a Line Segment Pattern

Saturated Pairwise Interaction Point Process Family

Histogram of Pixel Values in an Image

Pairwise distances

Plot a List of Things

Nearest neighbour

Evaluate an Expression in Each Row of a Hyperframe

model.matrix.ppm

Extract Design Matrix from Point Process Model

Extract Subset of Image

Test Whether An Object Is A Pixel Image

Apply Vector Translation To Pixel Image

Kaplan-Meier and Reduced Sample Estimator using Histograms

Humberside Data on Childhood Leukaemia and Lymphoma

Set Covariance of a Window

Perspective Plot of Pixel Image

subset.splitppp

Extract or Replace Sub-Patterns

Define Point Process Model for Metropolis-Hastings Simulation.

Define Point Process Model for Metropolis-Hastings Simulation.

Mark Correlation Function

Create a Line Segment Pattern

Convert Window to Another Unit of Length

Generate a Quadrature Scheme from a Point Pattern

Test Whether A Point Pattern is Marked

Set or Reset the Marks in a Point Pattern

Simulate Simple Sequential Inhibition

Simulate Matern Cluster Process

Print Brief Details of a Spatial Window

pairdist.default

Pairwise distances

Summarizing a Pixel Image

Extract or Replace Subset of Tessellation

Class of Images

Print Progress Reports

Simulate Neyman-Scott Process

Divide Region into Quadrats

Determine Whether One Window is Contained In Another

Distance Map of Line Segment Pattern

Randomly Shift a Point Pattern

Vertices of a Window

Prediction from a Fitted Point Process Model

Simulate from a Fitted Point Process Model

Summary of a Spatial Window

Rotate a Window

Create a Point Pattern

Rotate a Point Pattern

Class of Quadrature Schemes

Summary of a Line Segment Pattern Dataset

Midpoints of Line Segment Pattern

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

Class of Fitted Point Process Models

California Redwoods Point Pattern (Entire Dataset)

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

rescue.rectangle

Convert Window Back To Rectangle

Random Thinning

Spruces Point Pattern

Simulate Baddeley-Silverman Cell Process

Apply Vector Translation To Line Segment Pattern

Berman-Huntington points and lines data

plot a Spatial Quadrature Scheme

Convert dataset to another unit of length

Extract List of Tiles in a Tessellation

Rectangular grid of points

Sample Quantiles of Pixel Image

Print a Fitted Point Process Model

Generate Poisson Random Line Process

Profile Maximum Pseudolikelihood

Classify Points in a Point Pattern

Kaplan-Meier Estimator using Histogram Data

Nearest Neighbour in Another Point Pattern

Extract Original Data from a Fitted Point Process Model

Delaunay Triangulation of Point Pattern

Extract the Interaction from a Fitted Point Process Model

Plot a Spatial Window

California Redwoods Point Pattern (Ripley's Subset)

Estimate window from points alone

spatstat.options

Internal Options in Spatstat Package

rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.

Ord's Interaction model

Distance Map of Point Pattern

summary.splitppp

Summary of a Split Point Pattern

Aherne's hamster tumour data

Identify Points in a Point Pattern

Apply Affine Transformation To Line Segment Pattern

Convert Polygonal Region into Different Format

Extract Subset of Function Values

spatstat-internal

Internal spatstat functions

Cut margins from rectangle

Pair Correlation Function obtained from array of K functions

Convert Data To Class psp

Nearest-Neighbour Correlation of Marked Point Pattern

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

Test Whether Marks Are Present

Divide Image Into Sub-images

Simulate Stratified Random Point Pattern

Update a Fitted Cluster Point Process Model

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

Test Whether An Object Is A Fitted Point Process Model

Nearest neighbour distances between line segments

Determine Duplicated Points in a Spatial Point Pattern

Fit cluster point process model

Extract Subset of Function Array

Hyper Data Frame

Nearest Neighbour Distance Function G

Plot a Pixel Image

Compute Images of Constructed Covariates

Method of Minimum Contrast

complement.owin

Take Complement of a Window

Generic Ord Interaction model

Prediction from a Fitted Cluster Point Process Model

Plot a tessellation

Pair Correlation Function

Kernel Smoothing of Line Segment Pattern

Lurking variable plot

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

Intersection of Two Tessellations

Evaluate Expression Involving Functions

Interpret Fitted Model for Metropolis-Hastings Simulation.

Pair Correlation Function obtained from K Function

Nearest neighbour distances

The Strauss Point Process Model

Q-Q Plot of Residuals from Fitted Point Process Model

Evaluate Expression Involving Function Arrays

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Distance for a Point Pattern Matching

Pairwise distances

Pairwise distances

Level Set of a Pixel Image

Combine Two Line Segment Patterns

Inhomogeneous Cross K Function

Print Brief Details of a Point Pattern Dataset

Cartesian Coordinates for a Pixel Raster

Divide Point Pattern into Sub-patterns

Summarizing a Quadrature Scheme

Circular Window

Apply Vector Translation

Convert Data To Tessellation

Random Perturbation of a Point Pattern

pppmatching.object

Class of Point Matchings

Pairwise distances between line segments

The Strauss / Hard Core Point Process Model

Residuals for Fitted Point Process Model

Simulate Gauss-Poisson Process

Spatial smoothing of observations at irregular points

density.splitppp

Kernel Smoothed Intensity of Split Point Pattern

Reduced Second Moment Measure

Generate Multitype Poisson Point Pattern

Poisson Point Process Model

Multitype K Function (i-to-any)

Estimate the empty space function F

Extract Subset of Line Segment Pattern

plot.hyperframe

Plot Entries in a Hyperframe

Swedish Pines Point Pattern

Diggle-Gratton model

Variance-Covariance Matrix for a Fitted Point Process Model

Compute Integral of Function Against Cumulative Distribution

Extract Quadrature Scheme Used to Fit a Point Process Model

Generate grid of parallel lines with random displacement

Simulate Thomas Process

Test Whether Two Pixel Images Are Compatible

Marked J Function

Multitype J Function (i-to-j)

Urkiola Woods Point Pattern

nearest.raster.point

Find Pixel Nearest to a Given Point

Inhomogeneous Multitype K Dot Function

The Multitype Strauss Point Process Model

Orientation Angles of Line Segments

Beadlet Anemones Data

Clark and Evans Aggregation Index

Multitype L-function (cross-type)

Estimate the I-function

rshift.splitppp

Randomly Shift a List of Point Patterns

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

Multitype J Function (i-to-any)

Tropical rain forest trees

Interaction Distance of a Point Process

Plot Function Valuesn

Convert to Pixel Image

Simulate a fitted cluster point process model.

Summarizing a Fitted Point Process Model

adaptive.density

Intensity Estimate of Point Pattern Using Tessellation

Calculate four standard summary functions of a point pattern.

Ponderosa Pine Tree Point Pattern

Test Whether Two Function Objects Are Compatible

bounding.box.xy

Convex Hull of Points

Multitype L-function (i-to-any)

Calculate Summary Statistic for All Types in a Multitype Point Pattern

Remove Marks from a Marked Point Pattern

Harkness-Isham ants' nests data

compatible.fasp

Test Whether Two Function Arrays Are Compatible

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Distance to Boundary of Window

Estimate the J-function

Convert Pixel Image to Matrix

Simulation envelopes of summary function

Bounding Box of a Window or Point Pattern

Apply Gaussian Blur to a Pixel Image

Concatenate x,y Coordinate Vectors

Apply Function to Every Neighbourhood in a Point Pattern

Convert Data To Class owin

Hutchings' Bramble Canes data

Name for Unit of Length

Generate N Uniform Random Points

Create a Pixel Image Object

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Apply Vector Translation To Point Pattern

Interpolate a Pixel Image

Interactively Add Points

Test Whether An Object Is A Window

Generate N Uniform Random Points in a Disc

Create a Point Matching

Kernel Smoothed Intensity of Point Pattern

inforder.family

Infinite Order Interaction Family

New Zealand Trees Point Pattern

crossdist.default

Pairwise distances between two different sets of points

Longleaf Pines Point Pattern

Simulated Point Pattern

Perfect Simulation of the Strauss Process

Print a Quadrature Scheme

Class of Point Patterns

Multitype K Function (Cross-type)

Summarise Marks in Every Neighbourhood in a Point Pattern

Generate N Random Points

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

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Reset Values in Subset of Image

The Piecewise Constant Pairwise Interaction Point Process Model

Subset of Quadrature Scheme

Fit the Thomas Point Process by Minimum Contrast

Apply Affine Transformation

Distance to Boundary of Window

The Soft Core Point Process Model

The Spatstat Package

Plot a List of Point Patterns

K-function using FFT

Spokes pattern of dummy points

Marked Nearest Neighbour Distance Function

The Area Interaction Point Process Model

Apply Affine Transformation To Window

Summary of a Point Pattern Dataset

Interactively Define a Polygon

Pixel Image Approximation of a Window

Saturated Pairwise Interaction model

Apply Affine Transformation To Point Pattern

Difference of Disc Areas

Convex Hull of Points

Biological Cells Point Pattern

Centroid of a window

Extract Unique Points from a Spatial Point Pattern

Beta Ganglion Cells in Cat Retina

Hughes' Amacrine Cell Data

Chorley-Ribble Cancer Data

Area of a Window

The Lennard-Jones Potential

Convert Data To Class ppp

Apply a Function to a Point Pattern Broken Down by Factor

Sufficient Statistic of Point Process Model

Distance Between Two Point Patterns

Piecewise Constant Saturated Pairwise Interaction Point Process Model

Generic Pairwise Interaction model

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

Apply Vector Translation To Window

Inhomogeneous K-function

Geyer's Saturation Point Process Model

ANOVA for Fitted Point Process Models

Contour plot of pixel image