Limitations of radiometric dating
A small shift in a parameter can affect your final outcome.
So some analytical limitations can be the beam intensity, counting statistics, dead-time and so on.
Another limitation is the length of time a decay series can be used for.Another example, you may want to use (carbon-14) to date an old object.Lets say the object is a million years old (but as the scientist measuring this object we don't know that) and we go to measure it using the 14-C method.These are parameters you can control and will affect how accurate and precise your age-dating is.(Don't worry what those parameters mean, just understand they are machine-based).
Natural limitations encompass those as a result of nature.