It depends on the exact elements that are causing that emission level. Heavy metals such as those present in nuclear waste tend to bio-accumulate in marine organisms, that then find their way into the food chain.

This is unlike, say, naturally radioactive carbon or potassium isotopes, that have a relatively constant concentration in the animal's body over it's life time - if a fish eats some high potassium food, it will excrete an equivalent of his own equally radioactive amount to maintain homeostasis.

It's for this exact reason the net "banana dose" of radiation, unless you are potassium deficient, is in fact zero.