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Poisson

Poisson Point Process Model


Description

Creates an instance of the Poisson point process model which can then be fitted to point pattern data.

Usage

Poisson()

Details

The function ppm, which fits point process models to point pattern data, requires an argument interaction of class "interact" describing the interpoint interaction structure of the model to be fitted. The appropriate description of the Poisson process is provided by the value of the function Poisson.

This works for all types of Poisson processes including multitype and nonstationary Poisson processes.

Value

An object of class "interact" describing the interpoint interaction structure of the Poisson point process (namely, there are no interactions).

Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au, Rolf Turner r.turner@auckland.ac.nz and Ege Rubak rubak@math.aau.dk

See Also

Examples

ppm(nztrees ~1, Poisson())
 # fit the stationary Poisson process to 'nztrees'
 # no edge correction needed

 lon <- longleaf
 
 longadult <- unmark(subset(lon, marks >= 30))
 ppm(longadult ~ x, Poisson())
 # fit the nonstationary Poisson process 
 # with intensity lambda(x,y) = exp( a + bx)

 # trees marked by species
 lans <- lansing
 
 ppm(lans ~ marks, Poisson())
 # fit stationary marked Poisson process
 # with different intensity for each species

 # ppm(lansing ~ marks * polynom(x,y,3), Poisson())
 # fit nonstationary marked Poisson process
 # with different log-cubic trend for each species

spatstat.core

Core Functionality of the 'spatstat' Family

v2.1-2
GPL (>= 2)
Authors
Adrian Baddeley [aut, cre], Rolf Turner [aut], Ege Rubak [aut], Kasper Klitgaard Berthelsen [ctb], Achmad Choiruddin [ctb], Jean-Francois Coeurjolly [ctb], Ottmar Cronie [ctb], Tilman Davies [ctb], Julian Gilbey [ctb], Yongtao Guan [ctb], Ute Hahn [ctb], Kassel Hingee [ctb], Abdollah Jalilian [ctb], Marie-Colette van Lieshout [ctb], Greg McSwiggan [ctb], Tuomas Rajala [ctb], Suman Rakshit [ctb], Dominic Schuhmacher [ctb], Rasmus Plenge Waagepetersen [ctb], Hangsheng Wang [ctb]
Initial release
2021-04-17

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