Yellowstone was a planet in the Epsilon Eridani system, originally settled by Americans via Von Neumann machines housing fertilized human eggs. The colony failed in what appeared to be a similarly murderous manner as another failed American colony: Diadem.
Re-settled by Demarchists a century later, Yellowstone was the pinnacle of human civilisation from approximately 2350 to 2510. By the time of Tanner Mirabel's arrival -- seven years after the Melding Plague -- the planet was unrecognizable, rife with poverty and conflict. The remnants of the Glitter Band were by then referred to as the Rust Belt.
Human civilisation on and around Yellowstone was destroyed by the Inhibitors in 2698.