Although I was delighted with the caffeine tree, brh was not. In the next project, the tree was structured based on plant orders, with a flower at the tip of the branch indicating with its (generic) name that of the order.
The first version was still a little bit right-heavy and was soon replaced by the tree on the left, slightly erected and giving (on its left side) some orders the space they deserve.
An interactive version of this tree is here.