CIRAS-3 Operation Manual V. 1.09  141  support@ppsystems.com 
 
 
Simulated Soil Respiration Measurements 
With the CIRAS-3 software a quadratic relationship (y = a + bx + cx
2
) is fitted between the cuvette 
concentration (C=y) and time (T=x) from the start of measurement.  Note that there is a delay after the 
chamber is first placed on the soil to allow for the establishment of stable gradients before the 
measurements begin. 
 
Then 
 
The true assimilation rate will be calculated from dC/dT at T=0. 
Now    dC/dT = b + 2cT 
so at T=0 dC/dT = b              (2) 
A comparison of b and cT gives an indication of the leakage. Within the software, cT must be less than 
20% of b or the “Non-linear“ error message is given.  This is believed to be a better approach than 
lowering the CO
2
 value at the start of the measurement. 
FCO
2
 Units for measurement of Soil CO
2
 Efflux 
From 1 and 2:- 
R = b x V/A 
To give the flux in mass/unit area/unit time then b must be measured in mass/unit volume. 
The CO
2
 analyzer measures the volume/volume ratio (= ppm by volume = micro-liter/liter = micro-bar/bar 
= micro-mol/mol). 
Now one kg mol of gas (44.01kg of CO
2
) at STP (0 ºC, 1013.25 mb) occupies 22.41 m
3
. 
Cuvette Concentration 
Time 
To