C.score: Calculates the (normalised) mean number of checkerboard combinations (C-score) in a matrix
Description
Calculates the C-score for all higher-level species; the C-score represents the average number of checkerboard units for each unique species pair.
Usage
C.score(web, normalise = TRUE, FUN = mean, ...)
Value
Returns whatever the FUN produces as output. Default would be a single value, i.e. the mean C-score of the web.
Arguments
web
A matrix with pollinators as columns and plants as rows. Alternatively, when used on e.g. species occurrences across islands, rows are islands.
normalise
Logical; if TRUE (default), the C-score is ranged between 0 (no checkerboards) and 1 (only checkerboards). For FALSE the standard value of mean number of checkerboard pairs is returned. This is somewhat awkward for comparing different data sets, that's what the normalisation is for.
FUN
Function to use when summarising the C-scores for each pairwise comparison. Defaults to mean, but other useful functions could be median (because C-scores are rather skewed) or hist (for a nice graph).
...
Options to be passed on to FUN, e.g. na.rm=T for matrices with many zeros and normalise=TRUE.
Author
Carsten F. Dormann
Details
As a first step, any quantitative matrix is converted to a binary matrix of presences and absences.
Then, the formula given in Stone and Roberts (1990) is calculated for all species combinations, by calling designdist from the package vegan. See code for details.
References
Gotelli, N.J. and Rohde, K. (2002) Co-occurrence of ectoparasites of marine fishes: a null model analysis. Ecology Letters5, 86--94
Stone, L. and Roberts, A. (1990) The checkerboard score and species distributions. Oecologia85, 74--79