Generates simulated realisations from a fitted Poisson
 point process model on a linear network.

simulate.lppm

Defines types of spatial data on a linear network
and provides functionality for geometrical operations,
data analysis and modelling of data on a linear network,
in the 'spatstat' family of packages.
Contains definitions and support for linear networks, including creation of networks, geometrical measurements, topological connectivity, geometrical operations such as inserting and deleting vertices, intersecting a network with another object, and interactive editing of networks.
Data types defined on a network include point patterns, pixel images, functions, and tessellations.
Exploratory methods include kernel estimation of intensity on a network, K-functions and pair correlation functions on a network, simulation envelopes, nearest neighbour distance and empty space distance, relative risk estimation with cross-validated bandwidth selection. 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 function lppm() similar to glm(). Only Poisson models are implemented so far. Models may involve dependence on covariates and dependence on marks. Models are fitted by maximum likelihood.
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.
Random point patterns on a network can be generated using a variety of models.

Adrian Baddeley

spatstat.linnet

Linear Networks Functionality of the 'spatstat' Family

Rolf Turner

Ege Rubak

Greg McSwiggan

Tilman Davies

Mehdi Moradi

Suman Rakshit

Ottmar Cronie

simulate.lppm function

Simulate a Fitted Point Process Model on a Linear Network — simulate.lppm

<dl>

 <dt>object</dt>
<dd>Fitted point process model on a linear network.
 An object of class <code>"lppm"</code>.</dd>

 <dt>nsim</dt>
<dd>Number of simulated realisations.</dd>

 <dt>progress</dt>
<dd>Logical flag indicating whether to print progress reports
 for the sequence of simulations.</dd>

 <dt>new.coef</dt>
<dd>New values for the canonical parameters of the model.
 A numeric vector of the same length as <code>coef(object)</code>.</dd>

 <dt>...</dt>
<dd>Arguments passed to <code>predict.lppm</code>
 to determine the spatial resolution of the image of the fitted intensity
 used in the simulation.</dd>

 <dt>drop</dt>
<dd>Logical. If <code>nsim=1</code> and <code>drop=TRUE</code>, the
 result will be a point pattern, rather than a list 
 containing a point pattern.</dd>

</dl>

Arguments

Adrian Baddeley <a href='mailto:Adrian.Baddeley@curtin.edu.au'>Adrian.Baddeley@curtin.edu.au</a> 
,
 Rolf Turner <a href='mailto:rolfturner@posteo.net'>rolfturner@posteo.net</a> 
and Ege Rubak <a href='mailto:rubak@math.aau.dk'>rubak@math.aau.dk</a>

Author

Simulate a Fitted Point Process Model on a Linear Network

simulate.lppm: Simulate a Fitted Point Process Model on a Linear Network

Description

Usage

Arguments

Value

Details

See Also

Examples