I am on my third year fighting the dreaded Japanese Knot Weed. It is a vicious thing! I started by excavating FOUR FEET DOWN and an area 12' X 2'. The roots were as thick as my forearm. Then I treated all the new shoots with roundup. Last year I thought I had beat the bad weed. Now I have found 2 more shoots coming up and treated again with round up. It makes me crazy. In England Japanese Knot Weed is known as a "bio hazard because it can take over and destroy all other plants. It has really taken over in the UK but I also get ill about using Round-Up. I do so in as limited fashion as humanly possible because to the best of my knowledge, that is the only thing that will kill the darned weed.
If anyone else knows of a better way, I would LOVE to hear it. They are drenching the UK with Round-Up and the weed is still every where. They can not control it!