permutation.random.values.a {CNull}R Documentation

Produces a set of random values for an alpha diversity measure f on a given matrix, based on the permutation (SIM2) null model


Given a matrix M, an alpha diversity measure f and a number of repetitions k, the function produces k random values of f based on the permutation model. This is equivalent to shuffling M according to this model as many as k times , each time outputing the value of f only for a certain row (e.g. the top one) of the shuffled matrix. The output values can be used to determine the null distribution of f for a row of M. This distribution is the same for every row of M. This is because the examined null model produces the same distribution for all rows of M; after shuffling M, each row has the same probability to store a specific community C as any other in the resulting matrix.





A matrix with integer values. The matrix should not contain any NA values.


An alpha diversity function f. The interface of f should be such that f(matrix,args) returns a numeric vector V where the i-th element of V is equal to the value of f when applied at the i-th row of the given matrix. To fit to this interface, the user might have to develop f as a wrapper around an existing R function (see Examples).


A list with extra arguments needed by f.


The number of randomizations. This argument is optional and its default value is set to one thousand.


A vector of as many as reps elements. Stores the randomized values of f calculated based on the permutation null model.


Constantinos Tsirogiannis (


Gotelli, N. J., 2000. Null Model Analysis of Species Co-Occurrence Patterns. Ecology, 81(9), pp.2606-2621.

Tsirogiannis, C., A. Kalvisa, B. Sandel and T. Conradi. Column-Shuffling Null Models Are Simpler Than You Thought. To appear.

See Also



#In the next example null-model calculations are
#performed using a function of phylogenetic diversity.
#Hence, we first load the required packages.

#Load phylogenetic tree of bird families from package "ape"
data(bird.families, package = "ape")

#Create 100 random communities with 50 families each
comm = matrix(0,nrow = 100,ncol = length(bird.families$tip.label))
for(i in 1:nrow(comm)) {comm[i,sample(1:ncol(comm),50)] = 1}
colnames(comm) = bird.families$tip.label

#Set function f to be the Phylogenetic Diversity measure (PD)
#as defined in the R package PhyloMeasures.
my.f = function(mt,args){ return (pd.query(args[[1]],mt))}

# This function takes one extra argument, which is a phylogenetic tree.
# Hence, create a list whose only element is the desired tree.
arguments = list()
arguments[[1]] = bird.families

# Calculate 2000 randomized values of f on comm
# based on the permutation null model.

[Package CNull version 1.0 Index]