Killing capability depends on foot pounds of energy (fpe) and fps is a function of fpe along with weight (measured in grains). A .177 caliber pellet traveling at 1000fps does not have as much energy due to its smaller mass, whereas a .25 caliber pellet is larger and can be heavier.
Bottom line:
.177 @ 1000fps will "icepick" a pest, ie. punch a tiny hole through it and if it misses a vital, won't kill it.
.22 @ 1000fps good for pests (rats, squirrels, pigeons) and small game up to raccoons.
.25 @ 1000fps small game including fox, raccoon, coyote
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