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In fall, the edible peduncles become sweet and dark, as the actual fruits have ripened and become dry and bear one or two seeds (they're the greyish capsules projecting from the fleshy peduncles).
I was curious about what animals might disperse the seeds in Hovera dulcis's natual habitat (that is, why would the peduncles be fleshy and sweet?)
I came across interesting references to Chinese ferrets, Asiatic bears, etc. dispersing seeds, but one of the most interesting hits was a study from Brazil about the food bodies that are produced as part of the fleshy peduncles.
These folks, studying it as a introduced species apparently, found that ants were taking the food bodies (both rich in lipids and sugars at different times in their development), and in return, protecting the plant from herbivores.
All of this is heady stuff for a plant ecologist; what a remarkable adaptation for a plant to have succulent and sweet peduncles as the reward for munching on the whole thing, and dispersing seeds in the process.