# rmhexpand

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Percentile

##### Specify Simulation Window or Expansion Rule

Specify a spatial domain in which point process simulations will be performed. Alternatively, specify a rule which will be used to determine the simulation window.

Keywords
spatial, datagen
##### Usage
rmhexpand(x = NULL, ..., area = NULL, length = NULL, distance = NULL)
##### Arguments
x
Any kind of data determining the simulation window or the expansion rule. A window (object of class "owin") specifying the simulation window, a numerical value specifying an expansion factor or expansion distance, a list conta
...
Ignored.
area
Area expansion factor. Incompatible with other arguments.
length
Length expansion factor. Incompatible with other arguments.
distance
Expansion distance (buffer width). Incompatible with other arguments.
##### Details

In the Metropolis-Hastings algorithm rmh for simulating spatial point processes, simulations are usually carried out on a spatial domain that is larger than the original window of the point process model, then subsequently clipped to the original window.

The command rmhexpand can be used to specify the simulation window, or to specify a rule which will later be used to determine the simulation window from data.

The arguments are all incompatible: at most one of them should be given.

If the first argument x is given, it may be any of the following:

• a window (object of class"owin") specifying the simulation window.
• an object of class"rmhexpand"specifying the expansion rule.
• a single numerical value, without attributes. This will be interpreted as the value of the argumentarea.
• eitherc(area=v)orlist(area=v), wherevis a single numeric value. This will be interpreted as the value of the argumentarea.
• eitherc(length=v)orlist(length=v), wherevis a single numeric value. This will be interpreted as the value of the argumentlength.
• eitherc(distance=v)orlist(distance=v), wherevis a single numeric value. This will be interpreted as the value of the argumentdistance.
• NULL, meaning that the expansion rule is not yet determined.

If one of the arguments area, length or distance is given, then the simulation window is determined from the original data window as follows. [object Object],[object Object],[object Object]

##### Value

• An object of class "rmhexpand" specifying the expansion rule. There is a print method for this class.

##### Undetermined expansion

If expand=NULL, this is interpreted to mean that the expansion rule is not yet decided. Expansion will be decided later, by the simulation algorithm rmh. If the model cannot be expanded (for example if the covariate data in the model are not available on a larger domain) then expansion will not occur. If the model can be expanded, then if the point process model has a finite interaction range r, the default is rmhexpand(distance=2*r), and otherwise rmhexpand(area=2).

expand.owin to apply the rule to a window.

will.expand to test whether expansion will occur.

rmh, rmhcontrol for background details.

• rmhexpand
##### Examples
rmhexpand()
rmhexpand(2)
rmhexpand(1)
rmhexpand(length=1.5)
rmhexpand(distance=0.1)
rmhexpand(letterR)
Documentation reproduced from package spatstat, version 1.34-1, License: GPL (>= 2)

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