LABOURING THE POINT ABOUT SPELEOTHEM GROWTH
RATES
ANDYSEZ 28
[Journal 32, September 1998, pp 37–39]
First of all, apologies to Jacqui Skinner for the way the photos of
the computerised tomography of the helictites turned out in the last ANDYSEZ.
What you were supposed to see - and didn’t - was the central canal running
through the helictites. I am having some complex jiggery-pokery carried
out on the images and hope to bring these to your attention in a future
issue of the Journal. The Editor willing, that is (he is not speaking to
me at the moment because I am late with my copy). |
 |
Anyway, as the title suggests I am going to push the speleothem growth
rate barrow again. Robyn will be pleased to know that I am going to talk
about stals from “over east”. First let's look a stalagmite from Jersey
Cave, Yarrangobilly, kindly dated for me by Dr John Stone - then of the
School of Earth Sciences at the Australian National University. The dating
was by the uranium series method (for a good introduction see ANDYSEZ Number
5 or Chapter 6 of Dave Gillieson’s recently published Caves: Processes,
Development and Management. I imagine that everyone has bought a copy by
now. If not, why not?). The following table sets out the pertinent details
of this approximately 33 cm high stalagmite. |
Click To See A Really Large Pic of Above
Age (years)BP |
Error term (years) |
Age interval (years) |
Growth interval (mm) |
Growth rate (mm/100 years) |
Growth rate (years/mm) |
38,800 |
+/- 2,500 |
|
|
|
|
|
|
3,800 |
70 |
1.84 |
54.4 |
35,000 |
+/- 2,200 |
|
|
|
|
|
|
4,020 |
15 |
0.37 |
268.0 |
3,980 |
+/- 320 |
|
|
|
|
|
|
1,140 |
210 |
18.42 |
5.4 |
2,840 |
+/- 240 |
|
|
|
|
|
|
2,840 |
25 |
0.88 |
113.6 |
Present |
na |
|
|
|
|
Lots of things to note here:
-
the average growth rate over the whole period has been about 120
years to produce one millimetre (or 0.83 millimetres per 100 years).
-
the growth rate has varied between 5.4 and 268 years to produce one millimetre
of calcite - a factor of about fifty times.
-
even in the last four millennia years the growth rate has varied by a factor
of over 20.
-
in glacial times (when conventional wisdom has it that there would have
been less water available to dissolve limestone and redeposit calcite in
caves) the rate was about twice that of the last 3,000 years.
-
I have ignored the error terms (note how they are relatively the same proportion
of
the date - and thus closer to today they are more precise. This is common
in all dating methodologies - the older the sample the more imprecise the
date is).
-
if one takes the oldest date and add its error term the average growth
rate for the whole period becomes 129.1 years per millimetre compared to
121.3 if one uses the primary date. This is equivalent to about a 6.5 %
change in the growth rate over the life of the stal – again indicating
that we must be aware of what we are measuring and what errors might mean
if we are going to produce generalisations.
Well you all know that I keep harping on about variability and things turning
on and off - this stalagmite demonstrates this extremely well. But just
what is producing these switches is much harder to tell.
Hopefully the picture is clear enough for you to see the clearly obvious
differences in the fabric of the stalagmite between the material older
than about 35,000 years BP (BP = Before Present which is conventionally
taken to be 1950 AD) and that younger than about 4,000 years BP. The older
material is much more macro-crystalline and we are looking at a low growth
rate as one would expect in colder times. But why should it be so slow
in the last 3,000 years? I have no idea! There seems to be little difference
in the fabric of the stal between the 4,000 and 3,000 dates and in the
younger than 3,000 material. I am open to suggestions. More detailed dating
within the hiatus between the 35,000 and 4,000 year old dates would clearly
reveal the end of the last glaciation at about 18,000 years BP unless other
factors are influencing the rate of growth of this speleothem.
Now for the second bit. Last time I had a go at Western Australian show
caves and a minor, but much more serious swipe at Jenolan. Let’s go a bit
more world-wide this time around.
A most prestigious scientific journal (The Canberra Times, 10 May 1998
- no source) had the following story (in total):
EXPENSIVE WONDER
BEIJING: A 19.2 m-long stalagmite [emphasis mine] that has been growing
in a cave for 200,000 years in China’s central Hunan province has been
insured for $A18.8 million to reflect its tourism value.
Lots of wonderful thoughts are generated by this. Who is the insurer? Who
did the valuation? And how? Can I get on this gravy train?
Let’s look at this more closely. We will accept the age as 200,000 years
- no more, no less. Obviously, under the circumstances, the length will
be precisely known - what insurance company is going to insure something
which is not described precisely? The foundation for valuation we can’t
know but we will accept it as a basis for further discussion. Some elementary
calculations lead us to the following conclusions:
Speleothem growth rate: |
9.60 mm/100 years |
or |
10.42 years/mm |
Capital ($A)accumulation rate: |
0.0010 mm/$ |
or |
979.17 $/mm |
Annual capital ($A)accumulation rate: |
0.0106 years/$ |
or |
94.00 $/year |
Make what you will of these figures. Note that the growth rate falls
within the Yarrangobilly stalagmite's range. However, based on an average
age of 30,000 years for all Jenolan speleothems and the single Hunan
stalagmite (200,000 years; insured value $A18.8 million) the Jenolan speleothem
assemblage can only be valued at $A2.82 million - 15% of Hunan. Or perhaps
there is a logical inconsistency here? Perhaps we should use Yap Island
stone money for such a calculation?
Because we know Australian straw growth rates so well (ANDYSEZ 27) we
can now proceed to valuing our caves properly. All we have to determine
is the stalagmite/straw growth rate ratio (Stm/Stw). This GUT (Grand Unifying
Theory) approach will clearly satisfy everyone! It will allow us to ignore
minor issues like:
-
climatic change in a vast range of influencing parameters
-
changes in vegetation due to climatic change
-
lithology
-
surface to cave thickness
-
soil depth
-
degree of jointing
-
variation in primary and secondary porosity
-
variation in primary and secondary permeability
-
lots of things I haven’t thought of
-
f...-up factors.
It would appear that our best available estimates of Stm/Stw in the eastern
hemisphere are derived from data from Augusta-Margaret River on one hand
and Hunan on the other. There appears to be little difficulty in taking
the Stm/Stw ratio “over east” to Jenoleum. Thus taking a stalagmite growth
rate for Hunan as 9.60 mm/100 years and dividing it by an average figure
for Augusta-Margaret River of 122.67 we get a Stm/Stw ratio of 11.7 (dimensionless).
Thus we have proved that the growth rates for straws is about ten times
that of stalagmites. We all know that things that are young and grow quickly
are not as valuable as venerable old bits and pieces like the Yunan stalagmite
and Celery Reckons and ANDYSEZ. If we agree on our factor of about ten
we can value the Augusta Margaret River straws at about one-tenth of Yunan
- let’s say about $A2 million.
I am not sure what to do with my dimensionless value (the stalagmite/straw
growth rate ratio - Stm/Stw) but I am sure it will be useful in the years
to come. Please read the caution at the end of ANDYSEZ 27. And something
completely different next time.... |