sigma_snow_water_equivalence#

hydrometlib.cosmos.sigma_snow_water_equivalence(cts_smo, cts_est, n0_mod)[source]#

Calculate uncertainty in a snow water equivalence (SWE) calculation for the above ground COSMOS sensor [mm water equivalent]

\[\sigma_{SWE} = \sqrt{ \left( \frac{-\Lambda}{C_{smo} - N_{wat}} \right)^2 \frac{C_{smo}}{24} + \left( \frac{\Lambda}{C_{est} - N_{wat}} \right)^2 \sigma_{N_0}^2 }\]

with \(\Lambda = 48\), \(N_{wat} = 0.38 \, N_0\) and \(\sigma_{N_0} = 12\). The two terms are the propagated Poisson counting error and the calibration error.

References

  • Wallbank J. R., Cole S. J., Moore R. J., Anderson S. R., Mellor E. J. (2020),

    Estimating snow water equivalent using cosmic-ray neutron sensors from the COSMOS-UK network, Hydrological Processes, 35(5), e14048. https://doi.org/10.1002/hyp.14048

  • Desilets, D. (2017). Calibrating a non-invasive cosmic ray soil moisture probe for snow water equivalent.

    Hydroinnova Technical Document 17-01.

Parameters:
  • cts_smo (Expr) – Smoothed neutron counts, corrected for influences on cosmic-ray intensity [counts h-1]

  • cts_est (Expr) – Estimated counts during snow periods [counts h-1]

  • n0_mod (Expr) – Site attribute of a calibration coefficient obtained from field calibration [counts h-1]

Return type:

Expr

Returns:

Expression or Series for SWE uncertainty [mm water equivalent]