> Besides, it may be nitpicking, but kids eating dirt right outside power plants would die horrible deaths within days. It is the lesser doses in the rear by populated areas whose effects may not be so well understood.
Nah, it's not nitpicking. It's just totally wrong.
The radiation that upon ingestion kills you is alpha/beta radiation, i.e. particle radiation. This radiation doesn't otherwise cause harm (except in very large doses,) because it's a particle radiation that can't penetrate solid matter.
Nuclear reactors handle their fuel carefully (well, that's the default assumption. I don't know if all do,) and so, only gamma-radiation actually escapes the power plant, except in emergencies, of course. Gamma-radiation permeates through solid matter without too much difficulty (well, depending on the (amount of) matter, but the human body is basically translucent to gamma radiation. This is why X-Rays actually work.) and therefore it really doesn't matter whether the kids do ingest it or not.
Now, coal power plants on the other hand are an entirely different thing. Fly Ash, which coal power plants exude in large quantities contains Thorium and Uranium in rather high concentrations. Ingesting that might indeed be hazardous, though I don't know if you'd die a "horrible death" from the amounts typically in the vicinity (around 1 mile or so) of coal power plants.
Fun fact: coal power plants actually cause more radiation pollution to their surroundings than nuclear power plants (during normal operation.)
EDIT: I was wrong, nuclear power plants also emit alpha and beta radiation, as well as gamma, neutron, neutrino and positron radiation and other stuff. But apparently in such small quantities that I really can't imagine anyone dying from eating the soil around a nuclear power plant. Proof: this is a German AKW (Atomkraftwerk, nuclear power plant) in Phillipsburg. Notice how it is entirely surrounded with fields where crops is grown? People and animals eat all this stuff. http://goo.gl/maps/jydz1 Actually, Biblis (another AKW) is even more impressive: http://goo.gl/maps/LP1Hi