Or, more pleasantly-sounding, it’s an Andira Inermis, a tree native to the West Indies.
You would know this, because some of the trees at Mongoose Junction are labeled, as part of a project by the Unitarian Universal Fellowship of St. John.
The group spent several months identifying trees around Cruz Bay and has put together a book with maps and pictures to help you identify them.
Check it out, here.
As for the Pig Turd: “This is an inelegant name for an attractive tree that has beautiful purple flowers, but its dried fruits lying on the ground do look remarkably like turds.”