Don't worry, the dregs will weed themselves out.
They may breed at 5 times the normal rate but through "natural attrition" and lifestyle choices they will naturally downsize and eventually disappear from the gene pool.
Their only value will be in the distant future when archaeologists unearth remnants of a strange hairdo (mullett), a squat dog (staffy) and, oh, an Orchy bottle with a piece of garden hose sticking out of it.
Actually they don't disappear . They breed like rabbits and you get three generations on social welfare and a mother who is pleased that their 13 year old daughter is due to have a second child .