Either that, or the other alternatives listed above.
Of course, there are more ways of "invading" that the classic use of military force, these days. Lots of high-paying "modeling jobs" to entice young women from poorer countries?
Mail order Western brides.
Well, rednecks would certainly produce enough offspring for them.
But we only send the fat ones, that way we solve 2 problems: we get rid of current fat chicks and we encourage others to stay fit so they won't get sent to India.