greybeard
Herd Master
Goats and sheep do a fine job of eating the blackberry vines. That is fine and dandy, but they do NOT do anything for the roots, and the vines return in short order. What you will have to do is use chemical warfare on the root system by spraying the leaves which will then send the chemicals to the root system . Then wait and see if the treatment actually killed off all of the root. Then spot treat again and again until there is no more resprouting. ( will take a year and possibly longer ) Check with your local County Ag. Extention agency and/ or a Agriculture University for advice as to what chemicals to use and application procedures for your particular situation. Roundup is not the best chemical to use as one can saturate the vines and leaves , the leaves and parts of the vines will die off but the vines will start to regrow (within days / week )soon. Then one would have to respray every 2/few weeks for a year or several years until the roots finally starve and die off. This applies to other weeds such as horse tail, etc. . Good Luck !
Best answer /\.
I can't say much more since I promised I wouldn't say much in the organic/all natural/no chemicals/no antibiotics etc section, but a plant's growth is science, and if one wants to control or eradicate an invasive, one has to approach it thru the same medium--science. It can easily be eradicated in a single season, or take several years, with either approach both doing exactly the same thing, and in the same manner, exept one takes a LOT longer. Both, are depriving the plant of something, at he the proper time, that it has to have to grow and reproduce--and it isn't leaves.
Hint-blackberry is not an evergreen--it goes dormant in fall.