this function applies all tree statistics available in this package to a single tree, being:
gamma
Sackin
Colless
corrected Colless
quadratic Colless
Aldous' beta statistic
Blum
crown age
tree height
Pigot's rho
number of lineages
nLTT with empty tree
phylogenetic diversity
avgLadder index
cherries
double cherries
ILnumber
pitchforks
stairs
stairs2
laplacian spectrum
B1
B2
area per pair (aPP)
average leaf depth (aLD)
I statistic
ewColless
max Delta Width (maxDelW)
maximum of Depth
variance of Depth
maximum Width
Rogers
total Cophenetic distance
symmetry Nodes
mean of pairwise distance (mpd)
variance of pairwise distance (vpd)
Phylogenetic Species Variability (psv)
mean nearest taxon distance (mntd)
J statistic of entropy
rquartet index
Wiener index
max betweenness
max closeness
diameter, without branch lenghts
maximum eigen vector value
mean branch length
variance of branch length
mean external branch length
variance of external branch length
mean internal branch length
variance of internal branch length
number of imbalancing steps
j_one statistic
treeness statistic
For the Laplacian spectrum properties, four properties of the eigenvalue distribution are returned: 1) asymmetry, 2) peakedness, 3) log(principal eigenvalue) and 4) eigengap. Please notice that for some very small or very large trees, some of the statistics can not be calculated. The function will report an NA for this statistic, but will not break, to facilitate batch analysis of large numbers of trees.