pointpats.F¶

class
pointpats.
F
(pp, n=100, intervals=10, dmin=0.0, dmax=None, d=None)[source]¶ Estimates the empty space distribution function for a point pattern: F(d).
 Parameters
 pp
PointPattern
Point Pattern instance.
 nint
Number of empty space points (random points).
 intervalsint
The length of distance domain sequence.
 dminfloat
The minimum of the distance domain.
 dmaxfloat
The maximum of the distance domain.
 dsequence
The distance domain sequence. If d is specified, intervals, dmin and dmax are ignored.
 pp
Notes
In the analysis of planar point processes, the estimate of \(F\) is typically compared to the value expected from a process that displays complete spatial randomness (CSR):
\[F(d) = 1  e^{\lambda \pi d^2}\]where \(\lambda\) is the intensity (points per unit area) of the point process and \(d\) is distance.
The expectation is identical to the expectation for the
G
function for a CSR process. However, for a clustered pattern, the empirical G function will be below the expectation, while for a uniform pattern the empirical function falls above the expectation. Attributes
 darray
The distance domain sequence.
 Garray
The cumulative empty space nearest event distance distribution over d.
Methods
plot
(self[, qq])Plot the distance function