Hi gilbo12345
I'm not an expert, just an interested layman. My understanding is that the initial concentrations of isotopes used for dating are not assumed, but are based on measurements.
C14 dating is only done on samples that were once living things. C14 is produced in the atmosphere and remains at a roughly constant concentration (one C14 atom per trillion normal C atoms). Living things constantly exchange carbon with the atmosphere, so the concentration of C14 in their tissues stays the same as the atmosphere while they are alive. But when they die, they stop exchanging carbon with the atmosphere, and since C14 is radioactive it starts to decay with a half-life of 5730 years.
Thus, the initial concentration of C14 in the organism at the time of death is the same as that of the atmosphere. So if you measure a sample of organic material that has one C14 atom per two trillion normal C atoms, this means the organism died 5730 years ago.
There are also other methods like isochrons which are more complicated, which you can read about here.
But just to focus on C14 dating, dates derived from the method have been carefully cross-checked against a very large number of independent age measurements, like tree rings, layers in ice cores, seasonal layered sediments in the bottom of lakes, the growth of limestone cave formations, coral growth rings, and the like. See e.g. here. So any initial assumptions of the C14 method when it was proposed in 1949 (e.g. concentration of atmospheric C14 in the past) have since been confirmed from observational evidence as valid and correct within the limits of the scientific method.
Cheers - S.

Can you please state what measurements are taken to confirm the initial concentration... In my mind there are none, since no scientist lived at that time to take samples and test them, and record the iniital concentration... This can be said for any other radioactive isotope for all other radioactive dating... IF you cannot define what measurements are taken then we must conclude that it is an assumption.
Yes living things exchange carbon with the atmosphere, (which we get in turn from plants and animals), you suggesting are that the concentration levels are relatively the same throughout the biosphere? Just to let you know, this is an assumption and a very large one at that. How is this assumption justified?
All these other methods of dating are assuming that there is a constant rate... Yet this assumption is not logical...
Trees can form more than one ring in a year
Coral growth is dependant on the creature inside, which is dependant on its environment. Considering the state of the oceans today, I'd assume they are working slower than is normal.
Limestone caves are formed from water yes? So the rate of rainfall would determine the speed, how is this constant?
So again, scientists let assumption-based science take to the fore with nothing to substantiate their assumptions.... Except that when all these assumptions are group together they give you relatively the same time line... (of course they will since the are assumed to what the experimenter believes)
Here is another thought. If life is a continuation of atoms being used for different processes, which is linked to the claim that we are "space dust"... then in reality we should see no C14 at all since it is believed that all atoms were created via big bang and the age should start from there.... If these carbon atoms have existed for billions of years, (despite what form) then there should be no C14 left in the entire galaxy. Or do we assume that when a person eats food some of the carbon somehow turns into C14?