0th

Percentile

##### Divide Region into Quadrats

Divides window into rectangular quadrats and returns the quadrats as a tessellation.

Keywords
utilities, datagen
##### Usage
quadrats(X, nx = 5, ny = nx, xbreaks = NULL, ybreaks = NULL, keepempty=FALSE)
##### Arguments
X

A window (object of class "owin") or anything that can be coerced to a window using as.owin, such as a point pattern.

nx,ny

Numbers of quadrats in the $$x$$ and $$y$$ directions. Incompatible with xbreaks and ybreaks.

xbreaks

Numeric vector giving the $$x$$ coordinates of the boundaries of the quadrats. Incompatible with nx.

ybreaks

Numeric vector giving the $$y$$ coordinates of the boundaries of the quadrats. Incompatible with ny.

keepempty

Logical value indicating whether to delete or retain empty quadrats. See Details.

##### Details

If the window X is a rectangle, it is divided into an nx * ny grid of rectangular tiles or quadrats'.

If X is not a rectangle, then the bounding rectangle of X is first divided into an nx * ny grid of rectangular tiles, and these tiles are then intersected with the window X.

The resulting tiles are returned as a tessellation (object of class "tess") which can be plotted and used in other analyses.

If xbreaks is given, it should be a numeric vector giving the $$x$$ coordinates of the quadrat boundaries. If it is not given, it defaults to a sequence of nx+1 values equally spaced over the range of $$x$$ coordinates in the window Window(X).

Similarly if ybreaks is given, it should be a numeric vector giving the $$y$$ coordinates of the quadrat boundaries. It defaults to a vector of ny+1 values equally spaced over the range of $$y$$ coordinates in the window. The lengths of xbreaks and ybreaks may be different.

By default (if keepempty=FALSE), any rectangular tile which does not intersect the window X is ignored, and only the non-empty intersections are treated as quadrats, so the tessellation may consist of fewer than nx * ny tiles. If keepempty=TRUE, empty intersections are retained, and the tessellation always contains exactly nx * ny tiles, some of which may be empty.

##### Value

A tessellation (object of class "tess") as described under tess.

tess, quadratcount, quadrat.test, quadratresample

##### Examples
# NOT RUN {
W <- square(10)
Z <- quadrats(W, 4, 5)
plot(Z)

data(letterR)
# }
`
Documentation reproduced from package spatstat, version 1.56-1, License: GPL (>= 2)

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