(1) The chemistry of "formations" growing under concrete structures is not
the same as speleothem growth in caves. But this doesn't really have any
implications for comparing their rates of growth.
(2) Carbon dating is not the usual way of dating formations (partly because
they are usually too old, as has been pointed out). Various other means of
dating based on radioactive decay are used (uranium/thorium, etc.). These
work back hundreds of thousands of years, at least.
(3) Dating of a non-speleothem mineral in the caves of the Quadalupe
Mountains has indicated that they are at least some millions of years old.
The higher-elevation ones are older, c. 6 MY, if memory serves, and the
lower ones around 2 MY.
(4) When carbon-14 dating is used (generally for archaeological purposes)
one sees either a calibrated or an uncalibrated date. The latter is adjusted
for known variations in original C-14 content.  I think (without looking it
up) that "years before present" when stated as a C-14 date means
uncalibrated years before 1950. The uncertainty in uncalibrated dates pretty
much reflects radioactive counting statistics and other experimental errors,
but uncertainties in calibrated dates depend also on the local slope of the
calibration curve.
(5) One _cubic_ inch per anything is an nonsense way to state speleothem
growth. Obviously a ten-foot-wide flowstone thickening at such and such a
rate will gain a lot more cubic inches per hundred years than a tiny
stalactite thickening at the same rate.
(6) An interesting illustration of how tiny molecules are: If a 1 kilogram
stalactite grew from one drop per second over a million years, each drop
will have deposited about 200 billion molecules of calcite. -- Mixon
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