Should all dogs over 40 pounds be required to be fixed?

First of all. I am an animal and dog lover. The shelters are overpopulated by large unwanted dogs millions of which are euthanized everry year. Most shelters will have very few if any small dogs and most have a long adoption waiting list for small dogs.
Large dogs have two or three times the number of pups per birth than small dogs do.
So there is clearly a very serious problem with large dog overpopulation.
In addition, large stray dogs acan be a serious danger resulting in thousands of serious hospitalized dog maulings every year.
So should all large dogs be required to be fixed by one year old unless it belongs to a licensed dog breeder?
Again SMALL DOGS are not the problem. In fact there is a shortage of them judging by the shelters long waiting lists for adoption so that is obviously a waste of time and resources. It is the large dogs who have 10-12 pups per litter vs small dogs 3-4 pups per litter.