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spatstat (version 1.9-4)

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 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

1.9-4

License

GPL version 2 or newer

Maintainer

Adrian Baddeley

Last Published

March 22nd, 2025

Functions in spatstat (1.9-4)

Multitype J Function (i-to-any)

Estimate the empty space function F

Corners of a rectangle

ANOVA for Fitted Point Process Models

The Lennard-Jones Potential

The Soft Core Point Process Model

Diggle-Gratton model

Estimate the I-function

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

Harkness-Isham ants' nests data

Beta Ganglion Cells in Cat Retina

Estimate the J-function

Calculate four standard summary functions of a point pattern.

Calculate Statistic for All Types in a Multitype Point Pattern

Saturated Pairwise Interaction model

Determine Duplicated Points in a Spatial Point Pattern

Multitype K Function (Cross-type)

Generic Pairwise Interaction model

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

Orientation Angles of Line Segments

Create a Pixel Image Object

Pairwise distances between two different point patterns

Apply Affine Transformation To Point Pattern

Berman-Huntington points and lines data

Geyer's Saturation Point Process Model

Ord's Interaction model

Apply Affine Transformation To Line Segment Pattern

Distance to Boundary of Window

Expand Window By Factor

Bounding Box of a Window

Data Frames of Function Values

Convert to Pixel Image

Reduced Second Moment Measure

Artificial Data Point Pattern

Plot a Pixel Image

Simulate Matern Model II

Create a Window

Endpoints of Line Segment Pattern

Combine Two Line Segment Patterns

Convert Pixel Image to Matrix

Generate a Quadrature Scheme from a Point Pattern

Humberside Data on Childhood Leukaemia and Lymphoma

Evaluate Expression Involving Functions

pairwise.family

Pairwise Interaction Process Family

Determine Whether One Window is Contained In Another

Centroid of a window

Histogram of Pixel Values in an Image

Plot a Spatial Window

Poisson Point Process Model

Window in Shape of Letter R

Simulate Thomas Process

Chorley-Ribble Cancer Data

pairdist.default

Pairwise distances

Prediction from a Fitted Point Process Model

Biological Cells Point Pattern

Estimate window from points alone

Apply Vector Translation To Point Pattern

Sample Quantiles of Pixel Image

Simulate point patterns using the Metropolis-Hastings algorithm.

Simulation envelopes of summary function

multiplicity.ppp

Count Multiplicity of Duplicate Points

Define Point Process Model for Metropolis-Hastings Simulation.

The Spatstat Package

Extract Original Data from a Fitted Point Process Model

Pairwise distances

Generate N Random Points

Rectangular grid of points

The Multitype Strauss Point Process Model

Pair Correlation Function

Simulated Point Pattern

Plot a plotppm Object Created by plot.ppm

Print Brief Details of a Point Pattern Dataset

Kernel Smoothed Intensity of Point Pattern

Basis for Harmonic Functions

Optimal Match Between Two Point Patterns

Print Brief Details of a Spatial Window

spatstat-deprecated

Deprecated spatstat functions

complement.owin

Take Complement of a Window

Kernel Smoothing of Line Segment Pattern

Rotate a Window

Evaluate Expression Involving Pixel Images

Nearest Neighbour Distance Function G

Inhomogeneous K-function

Rotate a Line Segment Pattern

Pairwise distances

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Kaplan-Meier Estimator using Histogram Data

Lengths of Line Segments

Rotate a Point Pattern

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

Extract Subset of Function Array

Apply Function to Every Neighbourhood in a Point Pattern

Kaplan-Meier and Reduced Sample Estimator using Histograms

Level Set of a Pixel Image

Identify Points in a Point Pattern

Test Whether An Object Is A Window

Distance to Boundary of Window

New Zealand Trees Point Pattern

Pairwise distances

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

Convert Data To Class psp

Apply Affine Transformation To Window

Pair Correlation Function of Point Pattern

Test Whether An Object Is A Fitted Point Process Model

Random Thinning

Mark Correlation Function

Apply Vector Translation To Line Segment Pattern

Test Whether Two Pixel Images Are Compatible

Simulate Stratified Random Point Pattern

Pairwise distances between two different line segment patterns

Mean Pixel Value in an Image

Print Brief Details of an Image

Determine Initial State for Metropolis-Hastings Simulation.

Apply Vector Translation To Window

Simulate from a Fitted Point Process Model

Convert Point Pattern Marks from Numeric to Factor

Area of a Window

Diagnostic Plots for Fitted Point Process Model

Convert Data To Class ppp

Exponential Energy Marks

Test Whether Marks Are Present

Convert Pixel Image from Numeric to Factor

Beta Ganglion Cells in Cat Retina, Old Version

Intersection or Union of Two Windows

Aherne's hamster tumour data

Test Whether A Point Pattern is Marked

Marked Nearest Neighbour Distance Function

Multitype K Function (i-to-any)

Ord Interaction Process Family

K-function using FFT

Pairwise distances between line segments

Generic Ord Interaction model

Hughes' Amacrine Cell Data

Summarise Marks in Every Neighbourhood in a Point Pattern

Pixel Image Approximation of a Window

plot a Spatial Line Segment Pattern

Create a Line Segment Pattern

Nearest neighbour distances

Create a Point Pattern

Hutchings' Bramble Canes data

Quadrat counting for a point pattern

Residuals for Fitted Point Process Model

Extract Unique Points from a Spatial Point Pattern

Simulate Neyman-Scott Process

Summarizing a Pixel Image

Set Covariance of a Window

Simulate Baddeley-Silverman Cell Process

Nearest neighbour

crossdist.default

Pairwise distances between two different sets of points

Pine saplings in Finland.

Test Whether An Object Is A Point Pattern

Class of Point Patterns

nearest.raster.point

Find Pixel Nearest to a Given Point

Generate Poisson Random Line Process

Simulate Matern Cluster Process

Method of Minimum Contrast

spatstat.options

Internal Options in Spatstat Package

Apply Vector Translation

Extract or Replace Subset of Point Pattern

Generate Poisson Point Pattern

Crossing Points of Two Line Segment Patterns

Function Arrays for Spatial Patterns

Test Whether An Object Is A Pixel Image

Fit the Thomas Point Process by Minimum Contrast

Coefficients of Fitted Point Process Model

Concatenate x,y Coordinate Vectors

Compute Quadrature Weights Based on Grid Counts

Fit Point Process Model to Data

Simulate Matern Model I

Superimpose Several Point Patterns

Reduced Sample Estimator using Histogram Data

Summarizing a Quadrature Scheme

Midpoints of Line Segment Pattern

Union of Data and Dummy Points

Set or Reset the Marks in a Point Pattern

Perspective Plot of Pixel Image

Summary of a Line Segment Pattern Dataset

California Redwoods Point Pattern (Ripley's Subset)

Generate N Uniform Random Points

Summarizing a Fitted Point Process Model

Randomly Shift a Line Segment Pattern

Variance-Covariance Matrix for a Fitted Point Process Model

Apply Vector Translation To Pixel Image

Extract Subset of Function Values

Divide Point Pattern into Sub-patterns

Multitype J Function (i-to-j)

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

Remove Marks from a Marked Point Pattern

Distance Map of Window

Class of Images

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Print a Fitted Point Process Model

Class of Line Segment Patterns

Perfect Simulation of the Strauss Process

Print a Quadrature Scheme

Read Point Pattern From Data File

Sufficient Statistic of Point Process Model

Spruces Point Pattern

Simulate systematic random point pattern

Update a Fitted Point Process Model

Extract Subset of Line Segment Pattern

Marked K-Function

The Piecewise Constant Pairwise Interaction Point Process Model

The Strauss / Hard Core Point Process Model

Test Whether Points Are Inside A Window

Lurking variable plot

Plot Function Valuesn

Set Control Parameters for Metropolis-Hastings Algorithm.

Data and Code From JRSS Discussion Paper on Residuals

Areas of Morphological Erosions

Marked J Function

Fitted Conditional Intensity for Point Process Model

Test Whether A Point Process Model is Marked

Nearest Neighbour in Another Point Pattern

plot a Spatial Quadrature Scheme

plot a Spatial Point Pattern

Profile Maximum Pseudolikelihood

Class of Quadrature Schemes

Generate N Random Multitype Points

Lansing Woods Point Pattern

Spokes pattern of dummy points

rescue.rectangle

Convert Window Back To Rectangle

Apply Affine Transformation

Convert Data To Class owin

Generate a Default Pattern of Dummy Points

Interactively Add Points

Test Whether Two Function Objects Are Compatible

Extract Dummy Points Used to Fit a Point Process Model

Dilate a Window

Tropical rain forest trees

Diameter of a Window Frame

Print Brief Details of a Line Segment Pattern Dataset

Distance Map of Point Pattern

Inhomogeneous Cross K Function

Inhomogeneous Multitype K Dot Function

The Strauss Point Process Model

Summary of a Point Pattern Dataset

rshift.splitppp

Randomly Shift a List of Point Patterns

Class of Fitted Point Process Models

Extract Quadrature Scheme Used to Fit a Point Process Model

Simulate Simple Sequential Inhibition

Plot a Function Array

Saturated Pairwise Interaction Point Process Family

Pair Correlation Function obtained from K Function

plot a Fitted Point Process Model

Japanese Pines Point Pattern

Cartesian Coordinates for a Pixel Raster

spatstat-internal

Internal spatstat functions

Longleaf Pines Point Pattern

Randomly Shift a Point Pattern

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

Q-Q Plot of Residuals from Fitted Point Process Model

Distance Map of Line Segment Pattern

Generate Multitype Poisson Point Pattern

Plot a List of Point Patterns

Swedish Pines Point Pattern

Nearest-Neighbour Correlation of Marked Point Pattern

Random Re-Labelling of Point Pattern

Summary of a Spatial Window

Extract Subset of Image

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

California Redwoods Point Pattern (Entire Dataset)

Fit the Matern Cluster Point Process by Minimum Contrast

Pair Correlation Function obtained from array of K functions

Interaction Distance of a Point Process