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spatstat (version 1.13-0)

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

17,668

Version

1.13-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

March 22nd, 2025

Functions in spatstat (1.13-0)

Reduced Second Moment Measure

Geyer's Saturation Point Process Model

Hybrid Geyer Point Process Model

Data Frames of Function Values

Convert Data To Class owin

Diggle-Gratton model

pairdist.default

Pairwise distances

Hughes' Amacrine Cell Data

Multitype J Function (i-to-j)

The Strauss Point Process Model

Multitype J Function (i-to-any)

inforder.family

Infinite Order Interaction Family

Distance Map of Point Pattern

Summarise Marks in Every Neighbourhood in a Point Pattern

Plot Function Valuesn

Beadlet Anemones Data

Marked Nearest Neighbour Distance Function

Fit the Matern Cluster Point Process by Minimum Contrast

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

Evaluate Expression Involving Pixel Images

Convert Pixel Image to Matrix

Humberside Data on Childhood Leukaemia and Lymphoma

bounding.box.xy

Convex Hull of Points

Estimate the J-function

Calculate four standard summary functions of a point pattern.

Piecewise Constant Saturated Pairwise Interaction Point Process Model

The Spatstat Package

Plot a List of Things

Print Brief Details of a Point Pattern Dataset

Estimate the empty space function F

Kaplan-Meier Estimator using Histogram Data

Distance to Boundary of Window

Nearest Neighbour Distance Function G

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

nearest.raster.point

Find Pixel Nearest to a Given Point

Poisson Point Process Model

Combine Two Line Segment Patterns

Point Patterns of New Brunswick Forest Fires

Inhomogeneous Multitype K Dot Function

The Multitype Strauss Point Process Model

Class of Images

Generic Pairwise Interaction model

Generate a Default Pattern of Dummy Points

The Lennard-Jones Potential

Inhomogeneous Cross K Function

Nearest Neighbour in Another Point Pattern

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Summarizing a Pixel Image

Inhomogeneous K-function

Convert Point Pattern to Another Unit of Length

Multitype K Function (Cross-type)

Expand Window By Factor

multiplicity.ppp

Count Multiplicity of Duplicate Points

Pixel Image Approximation of a Window

Convert to Pixel Image

Pairwise distances

plot.hyperframe

Plot Entries in a Hyperframe

Determine Duplicated Points in a Spatial Point Pattern

Pairwise distances between two different line segment patterns

Pairwise distances

ANOVA for Fitted Point Process Models

Apply Affine Transformation To Line Segment Pattern

Test Whether Two Pixel Images Are Compatible

Centroid of a window

Bounding Box of a Window or Point Pattern

Test Whether An Object Is A Window

complement.owin

Take Complement of a Window

density.splitppp

Kernel Smoothed Intensity of Split Point Pattern

Quadrat counting for a point pattern

Generate Poisson Point Pattern

Generic Ord Interaction model

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

Distance Between Two Point Patterns

Generate N Uniform Random Points in a Disc

Japanese Pines Point Pattern

Spatial smoothing of observations at irregular points

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

crossdist.default

Pairwise distances between two different sets of points

Print Brief Details of a Line Segment Pattern Dataset

Distance Map of Window

Harkness-Isham ants' nests data

Determine Whether One Window is Contained In Another

Simulate Matern Model I

The Area Interaction Point Process Model

Evaluate Expression Involving Functions

Distance to Boundary of Window

Marked K-Function

Extract Original Data from a Fitted Point Process Model

Interactively Define a Polygon

The Strauss / Hard Core Point Process Model

Rectangular grid of points

Beta Ganglion Cells in Cat Retina

Create a Pixel Image Object

Plot a Function Array

Hutchings' Bramble Canes data

Convert Data To Class ppp

Tropical rain forest trees

Clark and Evans Aggregation Index

Kaplan-Meier and Reduced Sample Estimator using Histograms

Endpoints of Line Segment Pattern

Marked J Function

Coefficients of Fitted Point Process Model

Crossing Points of Two Line Segment Patterns

Create a Point Matching

Lengths of Line Segments

Safely Convert Point Pattern Window to Binary Mask

rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.

Class of Quadrature Schemes

Extract Dummy Points Used to Fit a Point Process Model

Exponential Energy Marks

Generate N Random Multitype Points

Residuals for Fitted Point Process Model

Sample Quantiles of Pixel Image

Multitype K Function (i-to-any)

Pine saplings in Finland.

Apply Vector Translation To Line Segment Pattern

Ponderosa Pine Tree Point Pattern

Simulation envelopes of summary function

Contour plot of pixel image

Summary of a Point Pattern Dataset

Variance-Covariance Matrix for a Fitted Point Process Model

Pair Correlation Function obtained from array of K functions

Diameter of a Window

Test Whether Points Are Inside A Window

Window in Shape of Letter R

Fit Point Process Model to Data

Determine Initial State for Metropolis-Hastings Simulation.

Distance Map of Line Segment Pattern

Mark Correlation Function

Evaluate an Expression in Each Row of a Hyperframe

Pairwise distances between line segments

Simulate Neyman-Scott Process

Function Arrays for Spatial Patterns

Weighted Empirical Cumulative Distribution Function

Saturated Pairwise Interaction model

Lurking variable plot

Lansing Woods Point Pattern

Simulate from a Fitted Point Process Model

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern

The Soft Core Point Process Model

Ord's Interaction model

Estimate the I-function

Convex Hull of Points

Convert Data To Class psp

Berman-Huntington points and lines data

Histogram of Pixel Values in an Image

model.matrix.ppm

Extract Design Matrix from Point Process Model

Convert Window to Another Unit of Length

Vertices of a Window

Set or Reset the Marks in a Point Pattern

Extract Subset of Line Segment Pattern

Convert Pixel Image from Numeric to Factor

Corners of a rectangle

Identify Points in a Point Pattern

Kernel Smoothing of Line Segment Pattern

spatstat.options

Internal Options in Spatstat Package

plot a Spatial Quadrature Scheme

Test Whether Two Function Objects Are Compatible

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Generate a Quadrature Scheme from a Point Pattern

Test Whether Marks Are Present

spatstat-internal

Internal spatstat functions

Interpolate a Pixel Image

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

Nearest neighbour distances

Read Point Pattern From Data File

The Piecewise Constant Pairwise Interaction Point Process Model

Extract the Interaction from a Fitted Point Process Model

Beta Ganglion Cells in Cat Retina, Old Version

Method of Minimum Contrast

Pairwise distances between two different point patterns

Compute Quadrature Weights Based on Grid Counts

Summarizing a Quadrature Scheme

Sufficient Statistic of Point Process Model

Test Whether An Object Is A Fitted Point Process Model

Simulate Matern Cluster Process

Test whether Object is Multitype

Areas of Morphological Erosions

Simulate Baddeley-Silverman Cell Process

Apply Affine Transformation To Point Pattern

pairwise.family

Pairwise Interaction Process Family

Pair Correlation Function obtained from K Function

Nearest-Neighbour Correlation of Marked Point Pattern

Simulate Simple Sequential Inhibition

Artificial Data Point Pattern

Compute Images of Constructed Covariates

Circular Window

Apply Affine Transformation To Window

Nearest neighbour

Pairwise distances

Dilate a Window

Interactively Add Points

Distance for a Point Pattern Matching

Simulate point patterns using the Metropolis-Hastings algorithm.

Print Brief Details of an Image

Saturated Pairwise Interaction Point Process Family

Ord Interaction Process Family

Print Progress Reports

Fit the Thomas Point Process by Minimum Contrast

Class of Fitted Point Process Models

Test Whether A Point Pattern is Marked

Intersection or Union of Two Windows

Test Whether An Object Is A Pixel Image

Cartesian Coordinates for a Pixel Raster

Cut margins from rectangle

K-function using FFT

Biological Cells Point Pattern

Simulated Point Pattern

Plot a Pixel Image

Extract Quadrature Scheme Used to Fit a Point Process Model

Random Re-Labelling of Point Pattern

Union of Data and Dummy Points

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Generate grid of parallel lines with random displacement

Chorley-Ribble Cancer Data

plot a Fitted Point Process Model

is.multitype.ppm

Test Whether A Point Process Model is Multitype

Define Point Process Model for Metropolis-Hastings Simulation.

Aherne's hamster tumour data

Print a Quadrature Scheme

Basis for Harmonic Functions

Perfect Simulation of the Strauss Process

Create a Point Pattern

Longleaf Pines Point Pattern

Class of Line Segment Patterns

rescue.rectangle

Convert Window Back To Rectangle

Log Likelihood for Poisson Point Process Model

Summarizing a Fitted Point Process Model

Interaction Distance of a Point Process

spatstat-deprecated

Deprecated spatstat functions

Reduced Sample Estimator using Histogram Data

Simulate systematic random point pattern

Midpoints of Line Segment Pattern

Generate N Random Points

Q-Q Plot of Residuals from Fitted Point Process Model

Simulate Stratified Random Point Pattern

Class of Point Patterns

Kolmogorov-Smirnov Test for Point Process Model

Set Control Parameters for Metropolis-Hastings Algorithm.

pppmatching.object

Class of Point Matchings

Generate N Uniform Random Points

Superimpose Several Point Patterns

Data and Code From JRSS Discussion Paper on Residuals

Apply Vector Translation To Window

Print Brief Details of a Spatial Window

Hyper Data Frame

Diagnostic Plots for Fitted Point Process Model

Reset Values in Subset of Image

Apply Affine Transformation

Estimate window from points alone

Neighbourhood density function

Simulate Gauss-Poisson Process

Summary of a List of Things

Area of a Window

Convert Line Segment Pattern to Another Unit of Length

Randomly Shift a Point Pattern

Interpret Fitted Model for Metropolis-Hastings Simulation.

Difference of Disc Areas

Fitted Conditional Intensity for Point Process Model

Set Covariance of a Window

New Zealand Trees Point Pattern

Summary of a Spatial Window

Convert Point Pattern Marks from Numeric to Factor

Prediction from a Fitted Point Process Model

Print a Fitted Point Process Model

Level Set of a Pixel Image

Remove Marks from a Marked Point Pattern

Nearest neighbour distances between line segments

Perspective Plot of Pixel Image

Generate Poisson Random Line Process

Apply Vector Translation To Point Pattern

Generate Multitype Poisson Point Pattern

California Redwoods Point Pattern (Entire Dataset)

California Redwoods Point Pattern (Ripley's Subset)

Orientation Angles of Line Segments

Rotate a Point Pattern

plot a Spatial Line Segment Pattern

rshift.splitppp

Randomly Shift a List of Point Patterns

Plot a plotppm Object Created by plot.ppm

Kernel Smoothed Intensity of Point Pattern

Extract Subset of Function Array

Create a Line Segment Pattern

Extract Subset of Function Values

Rotate a Line Segment Pattern

Apply Function to Every Neighbourhood in a Point Pattern

Extract Subset of Image

Randomly Shift a Line Segment Pattern

Test Whether An Object Is A Point Pattern

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Plot a List of Point Patterns

Pair Correlation Function of Point Pattern

Profile Maximum Pseudolikelihood

Spruces Point Pattern

Divide Point Pattern into Sub-patterns

Convert dataset to another unit of length

Simulate Thomas Process

Rotate a Window

Apply Vector Translation

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

summary.splitppp

Summary of a Split Point Pattern

Extract Unique Points from a Spatial Point Pattern

Concatenate x,y Coordinate Vectors

Test Whether A Point Process Model is Marked

Calculate Statistic for All Types in a Multitype Point Pattern

Apply Vector Translation To Pixel Image

Mean Pixel Value in an Image

Spokes pattern of dummy points

Create a Window

Extract or Replace Subset of a List of Things

Swedish Pines Point Pattern

Summary of a Line Segment Pattern Dataset

Name for Unit of Length

Pair Correlation Function

Plot a Spatial Window

plot a Spatial Point Pattern

Simulate Matern Model II

Define Point Process Model for Metropolis-Hastings Simulation.

Random Thinning

Extract or Replace Subset of Point Pattern

subset.splitppp

Extract or Replace Sub-Patterns

Update a Fitted Point Process Model