Gotta love the conclusion:
"In summary, it is preferable to not eat spent nuclear fuel."
"In summary, it is preferable to not eat spent nuclear fuel."
So these fast-decaying things disappear quickly but are also being constantly created by things spontaneously decaying into them. The point of a nuclear reactor is to increase the overall rates of decay, so you end up with disproportionately large amounts of the short-lived isotopes as opposed to what you would find in nature.
https://en.wikipedia.org/wiki/Decay_chain
If you scroll down you see thorium series, neptunium series, uranium series, and so on. You can see the half-life at each step.