mWovermD {treebalance} | R Documentation |
Calculation of the maximum width over maximum depth of the tree
Description
This function calculates the maximum width over maximum depth for a
given rooted tree
. The tree must not necessarily be binary. For
,
is defined as
in which denotes the height of the tree
, which is the same as the
maximum depth of any leaf in the tree, and
denotes
the maximum width of the tree
. The maximum width over maximum depth
is a balance index.
For details on the maximum width over maximum depth, see
also Chapter 23 in "Tree balance indices: a comprehensive survey" (https://doi.org/10.1007/978-3-031-39800-1_23).
Usage
mWovermD(tree)
Arguments
tree |
A rooted tree in phylo format. |
Value
mWovermD
returns the maximum width over maximum depth of a tree.
Author(s)
Luise Kuehn
References
C. Colijn and J. Gardy. Phylogenetic tree shapes resolve disease transmission patterns. Evolution, Medicine, and Public Health, 2014(1):96–108, 2014. doi: 10.1093/emph/eou018.
Examples
tree <- ape::read.tree(text="((((,),),(,)),(((,),),(,)));")
mWovermD(tree)
tree <- ape::read.tree(text="((,),((((,),),),(,)));")
mWovermD(tree)