Open Access

Table 1

Error magnitude of various parameters in our analysis pipeline.

Parameter Symbol Error magnitude Procedure
Solar spectrum at TOA ΔI0 ~5% FM
Attenuated solar spectrum ΔIz (eτΔI0)2+(τIzeτΔτ)2$\sqrt {{{\left( {{e^{ - \tau }}{\rm{\Delta }}{I_0}} \right)}^2} + {{\left( { - \tau {I_z}{e^{ - \tau }}{\rm{\Delta }}\tau } \right)}^2}} $ FM
Cross section Δσλ ~5% FM
Optical path Δτλ (cos(θ)1ΔσλZTOAZ[ CO2 ]dZ)2$\sqrt {{{\left( {\cos {{(\theta )}^{ - 1}}{\rm{\Delta }}{\sigma _\lambda }\int_{{Z_{TOA}}}^Z {\left[ {{\rm{C}}{{\rm{O}}_2}} \right]} dZ} \right)}^2}} $ FM
O(IS) Production rate Δηz (σλQYλ[ CO2 ]zΔIz)2+(IQYλ[ CO2 ]zΔσλ)2+(Iσλ[ CO2 ]zΔQYλ)2$\sqrt {{{\left( {{\sigma _\lambda }Q{Y_\lambda }{{\left[ {C{O_2}} \right]}_z}{\rm{\Delta }}{I_z}} \right)}^2} + {{\left( {IQ{Y_\lambda }{{\left[ {C{O_2}} \right]}_z}{\rm{\Delta }}{\sigma _\lambda }} \right)}^2} + {{\left( {I{\sigma _\lambda }{{\left[ {C{O_2}} \right]}_z}{\rm{\Delta }}Q{Y_\lambda }} \right)}^2}} $ FM
Model error ΔϵiZ$\Delta _i^Z$ Equation (13) FM
IUVS systematic error ΔSλ ~25% @ 297.2 nm Obs.
IUVS random error Δyz ~5% @ 297.2 nm Obs.
Vertical profile Standard deviation σ i=1n(yiy¯)2/(n1)$\sqrt {\sum\nolimits_{i = 1}^n {{{\left( {{y_i} - \bar y} \right)}^2}} /(n - 1)} $ Obs.
Vertical profile Standard error σy¯${\sigma _{\bar y}}$ σ/n$\sigma /\sqrt n $ Output
Retrieved profile covariance matrix ϵnoise Noise error covariance matrix of the vertical resolution Output
Retrieved profile total error ϵtot ϵSEM2+ϵnoise 2$\sqrt {_{SEM}^2 + _{{\rm{noise }}}^2} $ Output

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