Algorithm 1: Populating mean cladogram algorithm

1 Input: Cladogram, $G=(V,E)$, a preprocessed ASVs vector, $b$ 2 Output: A populated cladogram of means, $G$ 3 for$l$from the maximum cladogram depth to 0do 4 foreach node, $v$, in layer,$l$do 5 ifthe layer of $v$ is in$b$then 6 Assign node $v$ the value from $b$ 7 if $v$ has any children then 8 Assign its children mean to $v$ 9 return $G$