The only bamboo we see up here is in the form of a long handled back scratcher...
However we do have creeping "bush" that will encroach into and swallow up pasture or hay fields unless you are diligent with it..
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Anything left living will always spread of course, but if you can isolate it and keep it mowed, the rhizomes will eventually die on their own.
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That seems the thing here.. I have found with what we deal with, that if you keep it mowed, paint the cut ends with Round Up and keep at it, the stuff will eventually die out..
It seems the WORST thing you can do is disk it, cut it up with a sub soil shank or the like.. This seems to create more "ends" that will sprout new trunks..
Again it is kind of time consuming but if you put a soup can on a short stick, and a small paint brush on a short stick, this to paint the fresh mowed ends of the trunks as you go.. The quicker you can paint the ends before they dry the better.. Painting cut ends usually does not seem to adversely affect near by things you do not want to harm..
My 5 cents of experience...