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Neutron probe : calibration curves for all textures?



Cliff Hignett writes

Reply to Marcus - re 'universal neutron meter calibration'  

Clinton Shock is dead right - anyone who uses a NMM without a local
calibration is asking for trouble.   HOWEVER, one trick we learned was that
the NMM is VERY good at measuring water content change - and not so good at
measuring water content.  This may seem a silly comment - but after 20
years, I assure you it is not.   You can ALMOST get away with a 'universal '
calibration for change in water content.  

If we are talking about homogenised soil in a calibration vessel then water
content and water content change  are indeed, the same.  As soon as you go
into the field,  water content and water content change are quite different
because (in my experience) all fields have soil variability.    The effect
is particularly pronounced in duplex soils or in soils with a varying amount
of clay at a particular depth.   This means that the H present in clay which
is NOT H2O  is causing the count at a particular depth to vary independently
of water content. (Where I come from, soils are notoriously low in organic
matter,  so H in organic matter is not a problem)  

We looked at 50 Australian clays and measured the (non H2O) hydrogen by
first heating them to 105 degree C (to drive off 'water') then burnt them in
a tube furnace at 800 degrees C in dry oxygen and  used a steam absorbant
material to collect steam given off    We called the quantity of steam the
'equivalent water'.   

the relationship we found was 
We = 0.124 (+-0.012) C + 0.015 

where C is clay content in g/g and We is equivalent water also in g/g.-
measured relative to 105 degree soil weight.
This is published in 'Soil Water Assessment by the Neutron method' ed E L
Greacen publisher CSIRO Australia.  1981. 

We also published relevant work in Australian Journal of soil Science :
Greacen E L and Hignett C T (1979) 'Sources of Bias in the field calibration
of a NMM' AJSR 17 405-15.

Knowing why we have variability is all very well but how do you USE this
information?

It is my experience that most users of the NMM ultimately want water content
CHANGE from the device as their objective.   ie they calibrate for water
content (against count or count fraction), they measure neutron count then
use the calibration to get water content then CALCULATE water content change
between reading times.       

We found that not only was this counter productive in error terms
(subtracting one value subject to field and calibration curve error from
another point similarly affected by error doubles the calibration curve
error) but as the above reference showed, it actually produced the WRONG
answer BECAUSE of the field error.    The result was biased - ie even with
reduced error, the mean was tending to the wrong answer.

What do you do about it?
a) if you have already calibrated against a field using randomly selected
sites then you must tolerate the bias.  However, you can still decrease the
error in estimation of water use down to that inherent in your calibration
by a simple modification of the arithmetic procedure which can be done
retrospectively if required.  

Instead of calculating water content at each depth and replicate in the
field for each time and then subtracting water content at one time from
another,  calculate the CHANGE in counts at each access tube and depth
between two reading times.   THEN use the slope of your calibration only, to
calculate the water used.   If you have a field where the clay content
varies with depth or position, then you will see a spectacular reduction in
field error when you analyse the error in change in water content compared
to water content itself.

A full explanation of this phemomena requires too much space to give it
here, but you can get some idea of what is happening if you consider an
extreme case of a field with loam at all depths in all but one replicate
access tube which has clay at all depths.  The field error associated with
(any) water content measure in this field will always be large because of
the higher intrinsic water content of the clay - most of which is below
wilting point and will not be used.  However, the change in water content in
the loam over a time interval is not that different to change in the clay
over the same interval therefore the error in water content change across
the field is smaller.   This effect is further enhanced by the NMM
characteristics which is VERY sensitive to clay content due to its  H content.

b) If you have not yet calibrated (or can face that horrible job again) 
i) make the decision as to how many sacrificial calibration access tubes
will be used as you would have before, based on the field situation.
ii) Then group the tubes into pairs - and situate the tubes comprising the
pair as close to each other as possible one to be sacrificed in the dry
condition and one in the wet.  The assumption will be made  that the field
clay content is the SAME for the two tubes in the pair and that field error
will be manifested BETWEEN pairs.  (In my experience, this assuption is
reasonable if the tubes are within 2m of each other) 
iii) treat each soil horizon in each pair separately when doing the
calibration. - you should end up with a series of parallel lines with the
position of the line depending on the clay content at the site.  (You may
like to use the soil clay content and the above equation to see if the
displacement along the water axis is equal to the equivalent water content)  
iv) to calculate water content change use the average SLOPE of these lines
and the CHANGE in counts or count fraction at each reading point.  You will
find a much reduced error term in any field where clay content varies
v) if you need to know water content then use the same data to plot a
conventional calbration - use it once only (at the driest or wettest time of
the year) then use (iv) to calculate change in water content from this time.

If you really want to be horrified, try using the same field calibration
data to prepare a conventional and a difference calibration curve and then
do the corresponding arithmeticfor each method - you may find up to 30%
difference in water use - this is the bias referred to in the reference
above.   The bias results because the slope of the calibration line through
all the points will NOT be the same as the average of the slopes of the
calibrations for each soil location.  (If you doubt this then try drawing a
series of parrallel lines on a page , mark a point at the ends of each line
and do a regression on those points.  ) 

For those that are still with me, you might like consider that the basic
regression formulae assume that there is NO error in the independent
variable.   Under some calibration procedures, the smallest error may be in
the water content .  Specifically those procedures were the calibration
measures ALL the soil counted by the NMM.  Therefore regressions should be
done with count vs water content not water content vs counts.  (NO the
answer is NOT the same, if there is error then the the two lines are QUITE
different).

Cliff Hignett

Cliff Hignett CPSS CPAg
CSIRO Land and Water
PMB 2 Glen Osmond 
South Australia 5064

ph (08)8303 8459
fx (08) 8303 8551
ah(08) 8276 7706
email cliff.hignett@adl.clw.csiro.au