This index is a measurement of the overlap between pairs of taxa across samples. A value of 1 indicates perfect overlap, and 0 indicates no overlap.
levins.overlap(df, q =1.65)
Arguments
df: A matrix of taxa (rows) by samples (columns) as discrete counts per sample. Col 1 must be a taxon identifier.
q: A coefficient for the LOQ, set to 1.65. Decreasing or increasing q will affect which taxa are flagged as being below the LOQ.
Details
Taxon inputs must be as discrete counts across samples, with a taxon identifier in column 1. The output is a matrix of paired taxon overlap indices. Specifically, Levin's Overlap (LO) indices of LO[1,2] are rows and LO[2,1] are columns, for taxa 1 and 2.
Levin's overlap is calculated as follows: LO[i,j] = sum(p[i]*p[j])/sum(p[i]^2) whereby p[i] is the proportion of taxon i per sample and p[j] is the proportion of taxon j per sample.
Taxa below the LOQ are flagged with an asterisk.
This function depends on reshape2 to produce a matrix of overlap comparisons.
Returns
An object of class "data.frame" that gives LO[1,2] as rows and LO[2,1] as columns.
References
Ludwig and Reynolds. 1988 Statistical Ecology. Wiley and Sons, Milton Australia