I once lived in a house near the beach in Southern California. I had a Japanese garden with a lovely bamboo plant. Over the seven years I lived there, I watched with mounting alarm as it expanded its territory and slowly crowded out the other plants. It was a small ornamental bamboo, not the tall, woody variety.
Where I live now, all native plants compete viciously against one another for moisture, it being semi desert here, rainfall amounting to not very much, including snowfall. Any plants, including most tree species, have shallow roots to grab any moisture that dampens the soil and a default drought response when no moisture falls from the skies.
I don't think I would have Ernie's problem. Between chronic drought conditions and the chickens nibbling at it, bamboo wouldn't be very likely to turn into a jungle.