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A parameterization for the liquid water path variance to improve albedo bias calculations in large-scale models. Stephan de Roode (1,2) & Alexander Los (2) (1) Clouds, Climate and Air Quality, Department of Applied Sciences, TU Delft, Netherlands (2) KNMI, Netherlands.
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A parameterization for the liquid water path variance to improve albedo bias calculations in large-scale models Stephan de Roode(1,2) & Alexander Los(2) (1)Clouds, Climate and Air Quality, Department of Applied Sciences, TU Delft, Netherlands (2)KNMI, Netherlands
What is the albedo bias effect How is it modeled in large-scale models, e.g. for weather and climate Albedo bias results from a Large-Eddy Simulation of stratocumulus Parameterization of liquid water path variance Conclusion Outline
Albedo for a homogeneous cloud layer homogeneous stratocumulus cloud layer cloud layer depth = 400 m cloud droplet size = 10 mm optical depth t = 25 albedo = 0.79
Albedo for a inhomogeneous cloud layer mean albedo in homogeneous stratocumulus cloud layer cloud layer depth = 400 m cloud droplet size = 10 mm optical depth t = 5 and 45, mean = 25 mean albedo = 0.65 < 0.79
Albedo bias effect observed spatial variability in stratocumulus albedo
homogeneous albedo Albedo for a inhomogeneous cloud layer mean albedo inhomogeneous stratocumulus cloud layer teffective tmean Simple parameterization of the inhomogeneity effect: Inhomogeneity constant: c = 0.7 (Cahalan et al. 1994)
The diurnal cycle of stratocumulus during FIRE I (Cahalan case)LES results
Factor c diagnosed from all hourly 3D cloud fieldsfor fixed solar zenith angle q=530 factor c > 0.7
Analytical results for the inhomogeneity factor cAssumption: Gaussian optical depth distribution c isolines c not smaller than ~ 0.8
LES fields Is temperature important for liquid water fluctuations?
total humidity-liquid water PDFs liquid water total water Differences in PDFs: temperature effect (Clausius-Clapeyron)
Vertical structure of fluctuations In a cloudy subcolumn the mean liquid water fluctuation can be approximated to be constant with height
Model: from qt' to LWP' ql' ≈ 0 b = 0.4 T' ≈ 0 b = 1
PDF reconstruction from total humidity fluctuations in the middle of the cloud layer
1. Why did Cahalan et al. (1994) found much lower values for the inhomogeneity factor c? - They used time series of LWP 2. In stratocumulus ql fluctuations are typicall small - ql' = bqt' , b ≈ 0.4 3. Parameterizations for the variance of LWP and t - compute total water variance according to Tompkins (2002) 4. Current ECMWF weather forecast model uses LWP variance for McICA approach Conclusion