22 or 177 for hunting at 15 yards with sub 12 FT/LB air rifle?

Well.....at 15y you don't even need 12fpe (I drop pigeons at 50y with 11fpe, .22) but.....trying to look at this from a logical point of view.....

.177 hollow point/ flatheads, because they'll be cheaper and at 15y will be as accurate as you need, and they'll make a mess with a head or neck shot on most small pests. I recently took a pigeon with a headshot/ .177 hobby/ 10y from a webley alecto at 3fpe (1 pump) and the other side of its head reminded me of a .17hmr shot rabbit at 100y. At 12fpe it would have just passed right through......
 
As mentioned a couple of times above, pass-through is a problem for hunting (and pesting).

With a head-shot, caliber doesn't matter as much, but they're not always an option.

The basic physics and real world experience has shown me that a .22 caliber will drop and stop a critter with a solid hit where the .177 doesn't transfer enough energy to the target. Game can sometimes manage to move a fair distance before expiring... not good if a hiding spot is near by and even worse if a pest makes it under the fence into the neighbors yard.

Bigger is not always better. I think that many people are shooting way more caliber and power than is needed which is more costly (ammo and air) than necessary.

For the range and power you are talking about, the flatter trajectory of the .177 is no advantage. I'd recommend the .22 caliber and you should be fine out to 20-25 yards if needed.

Cheers!
 
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Try a .25 like this one. It is a little over 12 ft lb. Wham, Bam, thank you Ma’am.
.25 Webley Stingray
IMG_2901.jpeg
 
For squirrels I don't think the 22 has enough penetration at 12 fps unless you pass up shots that will hit bigger bones like the shoulder. It will work sometimes but deflect and miss the vitals sometimes. I used my P-rod at the original tune which was slightly over 12 fpe and had a couple run off. Returned to 18 fpe I've had no issues. No issues at the low power with brain shots.

I haven't used a 177 at 12 fpe on game but I know it penetrates deeper at the same fpe. It does kill squirrels slightly slower at the 18 fpe I use but with any reasonable placement they don't travel more than a few feet.

Energy "dump" is a myth. Our airguns kill by making a hole. A bigger hole kills quicker but only if the hole is deep enough to take out something vital. Depth is a little iffy for squirrels at 12 fpe using a 22 so I'd use a 177. A more patient hunter could be fine with a 22.
 
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At 15 yards or less trajectory will be virtually identical but .22 will hit harder than .177.

Since you're limited to 12 fpe of kinetic energy, neither one will be more powerful by that metric. A .22 has about 55% greater frontal area and with typical pellets about 25% more momentum however and in my experience will hit with noticeably more impact.

If you were shooting out to 50 yards, then the .177 would have the edge since it typically is going 150 fps or so faster and will shoot flatter. They also are more susceptible to wind however and tend to get blown off target at range if it gets windy.

.177 is slightly less expensive. .22 is slightly easier to load.