Compute the Mingling index for a given multitype point pattern.
minglingF(X, r = NULL, target = NULL, ratio = FALSE, ...)mingling.index(X, r = 4, ntype = "knn", ...)
Multitype point pattern of class ppp (see package 'spatstat')
Vector of sizes for neighbourhoods, e.g. geometric graph with
different ranges.
Default NULL. Calculate only for target type. If NULL computes for each type + mean over all types.
Default FALSE. If TRUE, scale the typewise values $M_t$
using formula $(1-M_tau)/lambda_tau$ which equals 1 for Poisson CSR.
Further parameters for the function segregationFun.
The original mingling index uses knn neighbourhood type.
mingling.index: Shortcut to 4-nearest neighbours index.
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.
If no specific type is given, the function takes mean over all types. A typewise value is more useful, so they are also included.
The function minglingF is the main calculation function. Uses function
segregationFun.
The function mingling.index is a shortcut to get a single value for
the pattern. Uses 4-nn graph by default, which is the original Mingling index
used by Lewandowski\&Pommerening 1997 and Graz 2004.
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