The opposite--a cash allowance for poor people who agree to be sterilized--would also reduce poverty, and a single generation of such payments would have a lot of staying power. Now, I wouldn't expect the author of the article to desire such a policy, but it would work if all they are trying to do is reduce poverty.

(Of course, paying poor people to have kids would, in fact, greatly expand poverty forever and ever, but that's another matter. The authors, of course, are in no way actually interested in improving society.)