Then so is your radio dating.
Nope. Carbon-14 or uranium-238 or rhenium-187 are constrained to a constant rate of decay when they're sittin' around in some mineral somewhere. Animals including humans aren't tied to any one rate of population change.
And do rabbits or houseflies start poisoning each other when things get tough? Can't they move elsewhere, too?
"The wretched world lies now under the tyranny of foolishness; things are believed by Christians of such absurdity as no one ever could aforetime induce the heathen to believe." - Agobard of Lyons,
ca. 830 AD