It won't. What you're suggesting is so ridiculous that I can hardly find anything about it.
Indeed you cant, your source does not seem to adress my argument at all.
Peak oil is not only some fringe argument as you tried to imply, but a credible threat:
http://en.wikipedia.org/wiki/Hirsch_report
http://www.physorg.com/news/2012-01-professors-flattening-oil-production-trump.html
I appreciate you reading my source. The point is that, although costs are associated with peak oil, nowhere in my paper's discussion is mention of starvation or anything you're talking about during its discussion of world agricultural production and fossil fuel inputs.
The papers you mentioned did discuss large costs associated with peak oil, but also stated that the world could adapt to it and nowhere was starvation, malnutrition, or anything at all related to population constraints mentioned. If anything, the report assumes that population will continue to grow. The one specific prediction that the Hirsch Report did make was that the peak would result in expensive capital replacement costs spread out over a decade or so. Five percent of GDP per year, maybe less. Expensive, but hardly in the way you suggest.
My argument is that peak oil will not appreciably affect world population growth. And I'm pretty sure it won't.
Here's How to Feed the World in 2050 by the FAO. Peak oil is not even mentioned as a potential threat to the food supply. Again, I can't find anything saying peak oil
won't lead to some population crisis anymore than finding a source showing Peak Lithium leading to famine. *grumpiness removed*
For what it's worth, if you're okay with citing internet articles,
here's some dude who thinks there will be a population crisis, but doesn't even consider Peak Oil a major cause. Still bull****. But it is a
better argument for Malthusian collapse.