@scatteredcloud That's a great question, and the answer is that it isn't convergent evolution, they really are closely related species with a common ancestor!
That's SO much distance! How did they do it? I don't really understand it myself.
Were they once one species with a super wide distribution all around the world, and the intermediates went extinct? Did the ancestral species migrate from one area to the other when the climate was different?
When studying the genus Arundinaria (American bamboo!) I learned that Arundinaria split off from all other temperate woody bamboos about 2 million years ago. Apparently, 2 million years ago, a bamboo moved from Asia to North America, and nothing like that ever happened again...or at least if it did, the evidence went extinct.
So was there a time when bamboo stretched from sea to shining sea, all across the Beringia land bridge and everything, and the family tree was pruned by ice ages...or what???
Its really strange because a lot of these shared plant genera, are limited to warm temperate to subtropical climes, so the ice ages would have REALLY fucked their entire shit up. Arundinaria was reduced to a tiny area along the gulf coast during the last glacial maximum.
I wonder if there's a pattern, do species mainly evolve in Asia and immigrate to USA, or what...?
I do know that a lot of these shared species are relict survivors of basal angiosperm groups that split off really early from other angiosperms...don't know what that means though.