mingling: Spatial Minling index

In antiphon/sseg: Compute various multitype-summaries for multitype point patterns

Description

Compute the Mingling index for a given multitype point pattern. Assumes homogeneous patterns.

Usage

mingling(X, r, target = NULL, ratio = FALSE, ntype = "geo", ...)

Arguments

X	Multitype point pattern of class ppp (see package 'spatstat')
r	Vector o neighbourhoods scales
target	Default NULL. Calculate only for target type. If NULL computes for each type + mean over all types.
ratio	Default FALSE. If TRUE, scale the typewise values $M_t$ using formula $(1-M_tau)/lambda_tau$ which equals 1 for Poisson CSR.
ntype	The original mingling index uses knn neighbourhood type.

Details

Extension of Mingling index introduced by Lewandowski\&Pommerening 1997. Measures the proportion of alien points in the neighbourhood of a specific type typical point of the pattern.

ntype is "geo" for geometric by default (look in disc with radius r). The original definition was for "k-nearest neighbours" ("knn"), with just a single scale, "r=4" where r=k in the knn.

If no specific type is given, the function takes mean over all types. A typewise value is more useful, so they are also included.

References

Graz: The behaviour of the species mingling index $m_{sp}$ in relation to species dominance and dispersion. Eur. J. forest research. 123:87-92, 2004.

Lewandowski, Pommerening: Zur Beschreibung der Waldstruktur - Erwartete und beobachtete Arten-Durchmischung. Forstwiss Centralbl, 116:129-139, 1997.

Rajala, Illian: A family of spatial biodiversity measures based on graphs, Env. Ecol. Stat. 2012

antiphon/sseg documentation built on May 10, 2019, 12:22 p.m.