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compart <- function(web) {
# Author: Juan M. Barreneche
# E-mail: jumanbar@gmail.com
# replacing the slower version below 22 May 2012
cweb <- as.matrix(web)
rc <- which(web > 0, arr.ind=TRUE)
r <- rc[,1]
c <- rc[,2]
p1 <- numeric(length(r)) + 1
p2 <- p1
comp <- 1
while (any(p2 > 0)) {
p2[which(p2 == 1)[1]] <- -comp
while (any(p2 != p1)) {
p1 <- p2
p2[r %in% r[p2 == -comp]] <- -comp
p2[c %in% c[p2 == -comp]] <- -comp
}
locs <- matrix(rc[p2 == -comp,], ncol=2)
cweb[locs] <- -comp
comp <- comp + 1
}
out <- list(cweb=cweb, n.compart=max(abs(p2)))
out
}
# This (faster) version is affected by the occurrence of ties!
#compart <- function(web){
# # finds compartments and assigns numbers to them:
# # 1. organise web along the diagonal:
# if (any(dim(web))<2){
# out <- list(cweb=web, n.compart=1)
# } else {
# ca <- cca(web)
# rindex <- order(summary(ca)$sites[,1], decreasing=TRUE)
# cindex <- order(summary(ca)$species[,1], decreasing=TRUE)
# web2 <- web[rindex, cindex]
# # 2. analyse for compartments, first rows, then cols:
# cr <- distconnected(vegdist(web2, "jaccard"), trace=FALSE)
# cc <- distconnected(vegdist(t(web2), "jaccard"), trace=FALSE)
# # 3. numbered sequences are now matching each other to describe the clusters:
# clu.cr <- matrix(rep(cr, ncol(web2)), nrow=nrow(web2))
# clu.cc <- matrix(rep(cc, nrow(web2)), ncol=ncol(web2), byrow=TRUE)
# clu <- web
# clu[clu.cr == clu.cc] <- clu.cr[clu.cr == clu.cc]
# # 4. resort the web:
# outweb <- clu[order(rindex), order(cindex)]
# out <- list(cweb=outweb, n.compart=max(cr))
# }
# return(out)
#}
#
## example:
## make a nicely compartet web:
#web <- matrix(0, 10,10)
#web[1,1:3] <- 1
#web[2,4:5] <- 1
#web[3:7, 6:8] <- 1
#web[8:10, 9:10] <- 1
#web <- web[-c(4:5),] #oh, and make it asymmetric!
#web <- web[,c(1:5, 9,10, 6:8)] #oh, and make it non-diagonal
#compart(web)
#
## or, standard, use Safariland as example:
#data(Safariland)
#compart(Safariland)
#
# ## Bernd's version (not affected by lots of similarly linked species):
# compart <- function(web){
# #recursive crossing out of horizontal and vertical neighbours
# # can be simplified using vegan's distconnected on cca output ...
# cross = function(web, start, comp)
# {
# n.r=nrow(web)
# n.c=ncol(web)
# r=start[1]
# c=start[2]
# web[r,c]=-comp #assign a negative compartment number to interaction
# for (i in 1:n.r) #schaue senkrecht
# {
# if (web[i,c]>0) web<-cross(web,c(i,c),comp)
# }
# for (i in 1:n.c) #schaue waagrecht
# {
# if (web[r,i]>0) web<-cross(web,c(r,i),comp)
# }
# return (web)
# }
# comp=1 #start with the first compartment
# while (max(web)>0) #any interactions left?
# {
# start=which(web==max(web),arr.ind=TRUE)[1,] #start at the highest number of interactions (arbitrary)
# web <- cross(web,start,comp) #start recursion until no more neighbours in one compartment are found
# comp <- comp+1 #go to the next compartment
# }
# return(list(cweb=web, n.compart=max(abs(web))))
# }
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