Exhaustive family tree for birds shows recent, rapid diversification
news.yale.edu
news.yale.edu
So, its hard to calculate an accurate speciation-rate number for say 2 million years ago. We have little idea of how many species existed then; many may not be represented in the fossil record. Perhaps there were more species then; perhaps fewer.
They don't seem to be providing the actual phylogenetic tree data (there's a cryptic note "More information will be made available here with the print publication of the study"), but there is a link to a higher-resolution PDF: http://litoria.eeb.yale.edu/bird-tree/images/BirdTreeHighRes...
You can also download the supplementary PDF at http://www.nature.com/nature/journal/vaop/ncurrent/extref/na... which has a lot more detail and some pretty pictures towards the bottom.