RE: Ammo for Deer
It just all depends what you take out - i.e. shot placement. You could nail a small doe through the heart with a .338 win mag and have it run 300 yards or you could spine a 6 year old bruiser with a .243 and have him drop in his tracks. It just all depends where its hit and what organs you eliminate.
Also depends on the animal, some are tougher than others. Take out the heart and they could run 15 yards or 500 yards. Just never know.
Other than that you're just talking about bullet expansion (i.e.- taking as many organs out with one shot as you can), which would increase your likelihood of a quicker kill by broadening your affected areas with larger bullets (if they have a chance to expand quickly and do not exit the animal before becoming fully mushroomed).
Some loads will blast right through an animal(7mm mag for example)--especially at closer ranges, which most of the time I've found will lead to the animal running farther because the bullet went through it too fast and not expanding -- and some loads that do not shoot as fast (or when fired at longer ranges) lose some of that break-neck speed and end up creating more impact (allowing time for expansion), thus giving the round more "knock-down power." Even tumbling bullets can be your friend -- as long as they're accurate -- by increasing the impact area upon connection.
Think of the impact as a watermelon being hit by a pick-axe or a sledgehammer. The pick axe has a smaller surface so it will go right through, where as a sledgehammer( even if traveling slower) has a larger surface area, giving you instant watermelon-ade.
Hope this helps a little?