ragsAreaInter

First order trend. A number, a pixel image (object of class
 <code>"im"</code>), or a <code>function(x,y)</code>.

beta

Interaction parameter (canonical form) as described in
 the help for <code><a rd-options="" href="/link/AreaInter?package=spatstat&version=1.60-1" data-mini-rdoc="spatstat::AreaInter">AreaInter</a></code>.
 A number greater than 1.

Disc radius in the model. A number greater than 1.

Additional arguments for <code>beta</code> if it is a function.

&#8230;

Simulation window. An object of class <code>"owin"</code>.
 (Ignored if <code>beta</code> is a pixel image.)

Optional. The maximum possible value of <code>beta</code>,
 or a number larger than this.

bmax

Logical value indicating whether to treat opposite sides of the
 simulation window as being the same, so that points close to one
 side may interact with points close to the opposite side.
 Feasible only when the window is a rectangle.

periodic

Number of cycles of the alternating Gibbs sampler to be performed.

ncycles

Generate a realisation of the area-interaction process
 using the alternating Gibbs sampler.
 Applies only when the interaction parameter \(eta\) is greater than 1.

spatial

datagen

Comprehensive open-source toolbox for analysing Spatial Point Patterns. Focused mainly on two-dimensional point patterns, including multitype/marked points, in any spatial region. Also supports three-dimensional point patterns, space-time point patterns in any number of dimensions, point patterns on a linear network, and patterns of other geometrical objects. Supports spatial covariate data such as pixel images.
Contains over 2000 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, pixel images, tessellations, and linear networks.
Exploratory methods include quadrat counts, K-functions and their simulation envelopes, nearest neighbour distance and empty space statistics, Fry plots, pair correlation function, kernel smoothed intensity, relative risk estimation with cross-validated bandwidth selection, mark correlation functions, segregation indices, mark dependence diagnostics, and kernel estimates of covariate effects. Formal hypothesis tests of random pattern (chi-squared, Kolmogorov-Smirnov, Monte Carlo, Diggle-Cressie-Loosmore-Ford, Dao-Genton, two-stage Monte Carlo) and tests for covariate effects (Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov, ANOVA) are also supported.
Parametric models can be fitted to point pattern data using the functions ppm(), kppm(), slrm(), dppm() similar to glm(). Types of models include Poisson, Gibbs and Cox point processes, Neyman-Scott cluster processes, and determinantal point processes. Models may involve dependence on covariates, inter-point interaction, cluster formation and dependence on marks. Models are fitted by maximum likelihood, logistic regression, minimum contrast, and composite likelihood methods.
A model can be fitted to a list of point patterns (replicated point pattern data) using the function mppm(). The model can include random effects and fixed effects depending on the experimental design, in addition to all the features listed above.
Fitted point process models can be simulated, automatically. Formal hypothesis tests of a fitted model are supported (likelihood ratio test, analysis of deviance, Monte Carlo tests) along with basic tools for model selection (stepwise(), AIC()) and variable selection (sdr). Tools for validating the fitted model include simulation envelopes, residuals, residual plots and Q-Q plots, leverage and influence diagnostics, partial residuals, and added variable plots.

Adrian Baddeley

spatstat

Spatial Point Pattern Analysis, Model-Fitting, Simulation, Tests

ragsAreaInter function

Interaction parameter (canonical form) as described in
 the help for <code><a rd-options='' href='AreaInter'>AreaInter</a></code>.
 A number greater than 1.

ragsAreaInter: Alternating Gibbs Sampler for Area-Interaction Process

Description

Usage

Arguments

Value

Details

References

See Also

Examples