allstats

0th

Percentile

Calculate four standard summary functions of a point pattern.

Calculates the $F$, $G$, $J$, and $K$ summary functions for an unmarked point pattern. Returns them as a function array (of class "fasp", see fasp.object).

Keywords
spatial
Usage
allstats(pp, dataname=NULL, verb=FALSE)
Arguments
pp
The observed point pattern, for which summary function estimates are required. An object of class "ppp". It must not be marked.
dataname
A character string giving an optional (alternative) name for the point pattern.
verb
A logical value meaning verbose''. If TRUE, progress reports are printed during calculation.
Details

This computes four standard summary statistics for a point pattern: the empty space function $F(r)$, nearest neighbour distance distribution function $G(r)$, van Lieshout-Baddeley function $J(r)$ and Ripley's function $K(r)$. The real work is done by Fest, Gest, Jest and Kest respectively. Consult the help files for these functions for further information about the statistical interpretation of $F$, $G$, $J$ and $K$.

If verb is TRUE, then progress reports'' (just indications of completion) are printed out when the calculations are finished for each of the four function types.

The overall title of the array of four functions (for plotting by plot.fasp) will be formed from the argument dataname. If this is not given, it defaults to the expression for pp given in the call to allstats.

Value

• A function array (an object of class "fasp", see fasp.object). This can be plotted using plot.fasp.

The function array has dimensions $2 \times 2$ with the entries at positions [1,1], [1,2], [2,1] and [2,2] representing $F(r)$, $G(r)$, $J(r)$ and $K(r)$ respectively. Each function entry fns[[i]] retains the format of the output of the relevant estimating routine Fest, Gest, Jest or Kest.

The default formulae for plotting these functions are cbind(km,theo) ~ r for F, G, and J, and cbind(trans,theo) ~ r for K.