Geochron ... The Global Inventory curve doesn't show the removal because it's not removed from the planet, just from the Upper Biosphere. You are correct. There is a small flaw in my Ratio calc. I missed that for some reason. Thanks.
I am interested to see what kind of curves you come up with based on my YEC assumptions.
Glad you found the problem - it didn't look like the sort of thing that would affect the output much but it's nice to understand all the bits of the graph.
Let me explain where I see the problem with the reservoirs...
Today we have ~12% of the model's 14C in the upper biosphere in the model, and 1% of the model's carbon.
This implies that there is some other reservoir with 88% of the14C and 99% of the model's carbon.
This second reservoir has 14C/C that is (.88/.99)/(.12/.01) = 0.07 of the UB 14C/C ratio.
Actually, in the modfel the fate of carbon removed from the UB at the flood (and the 14C that went along with it) is different from the fate of the 14C generated since the flood and removed from the UB. The former is in fossil fuels, carbonates etc, whereas the latter is in the deep ocean. After the flood the carbon that is left is partitioned among the ocean and UB, and continues to equilibrate with 14C.
I guess what I'm saying is that you elide the dfference between removing carbon from the modelled reservoirs (what happens at the flood) and removing carbon from the UB (which accounts for the partitioning of 14C among UB and the other reservoirs in the model).
Your model doesn't show the difference. I'm not sure that it makes that much of a difference to the outcome, but it's an area where clarity could be improved.. Things like this tend to confuse people like me who are used to looking at geochemical models, so it is worth fixing.
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Partly, I think the problem arises because the model is more complicated than it needs to be.
For this purpose there is no point modelling equilibration among reservoirs that are in contact with the upper biosphere - the timescales are all shorter than the half life of 14C, which is the characteristic time of the system (this is why the curves in Mike's various models are roughly the same). In essence, you can divide the planet into those reservoirs that equilibrate with the atmosphere on ~<1000 year timescales, and those that are isolated from the atmosphere on those timescales. The flood moves some carbon and 14C from the former to the latter, n'est-ce pas? Once it has gone we can forget about it as far as the model goes.
In addition, it is usually simpler to consider changes in ratios directly. 14C/C is changed by 14C production with a rate proportional to 1/C, and by radioactive decay with a rate proportional to 14C/C. After the flood 1/C is 100 times higher than it was before the flood, ie the production rate changes from k/C to 100k/C. Pick k to match the present day ratio and away we go. As far as I can see this includes all of the explicit assumptions of your model, though some assumption about where the C lost at the flood goes is implicit and (as I explain above) unclear to me.
It's not that difficult to describe what the output will be. Before the flood the 14C/C ratio will approach an equilibrium value with a half life of 14C, but it won't get anywhere near it in 2000 years. After the flood the 14C/C ratio will approach an equilibrium value 100x higher, again with the half life of 14C. Right now we will be about half way to equilibrium. Over the past few thousand years the ratio will have varied to the extent that would be apparent if present in the calibration curves based on historical objects.
When I get a chance I'll model it, posting the image here may take longer since I don't know how to do it!
Cheers,
Geo.