When a pellet strikes a target (squirrel, bird, groundhog, etc.) and exits the target, most of the fpe exits with it. It makes little difference how much fpe your rifle produces if the target is shot straight through. A headshot with any caliber is going to kill the varmint dead as a wedge. Look at the various clay and ballistic jell test that show penetration distance. I have never seen penetration less than 2 inches. How wide is your average varmints head? For me it comes down to economics and availability of ammo. I shoot .177 and .22. They get the job done. The Britts are killing squirrels, rabbits, crows, magpies, pigeons, rats, etc. with sub 12fpe weapons. If you like .25, go for it but it is no better at killing anything than .22 or .177. As has been said many times above, accuracy is the key to dispatching varmints.
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