"It’s a fundamental principle of ecology that an increase in food production causes an increase in population."
"Fundamental principles" are still less fundamental than facts. The facts are clear. It is possible for large human populations to be both abundantly fed and reproduce at less than replacement rates, and the trend is strongly in the direction of sub-replacement growth. This is true of groups that comprise multiple billions of humans, and the connection between wealth and sub-replacement rates is pretty clear.
As I said, the why is still an interesting question.
You are simply wrong. There is no reason why we must starve anyone to death in the forseeable future.
You may note I'm not providing citations. This is because I would contend this is in the class of commonly known fact. We have periodic debates arising in the media about what to do about the fact that neither we nor many other countries can sustain our planned social spending in the face of ever-slowing reproduction rates. This is not stuff that has been hiding out on obscure corners of academic journals, it's on the evening news.
On a similar vein, this is why I don't spend much time listening to people moan about how uniquely evil humans are. Humans are the uniquely moral animal. It is in fact an ecological principle that species will reproduce to consume all available food, and it is a unique characteristic of humans that we can choose not to. (So I do understand how easy it is to make that mistake.) We are not unique in utilizing our ability to raze ecosystems, we are unique in our ability not to use abilities we have, and unique in trying to fix them up after we learn better. We are not unique in our capacity for violence, we are unique in our capacity for peace, and so on.