Abstract. This research introduces a numerically efficient aerosol
activation scheme and evaluates it by using stratus and stratocumulus cloud
data sampled during multiple aircraft campaigns in Canada, Chile, Brazil,
and China. The scheme employs a quasi-steady-state approximation of the
cloud droplet growth equation (QDGE) to efficiently simulate aerosol
activation, the vertical profile of supersaturation, and the activated cloud
droplet number concentration (CDNC) near the cloud base. The calculated
maximum supersaturation values using the QDGE scheme were compared with
multiple parcel model simulations under various aerosol and environmental
conditions. The differences are all below 0.18 %, indicating good
performance and accuracy of the QDGE scheme. We evaluated the QDGE scheme by
specifying observed environmental thermodynamic variables and aerosol
information from 31 cloud cases as input and comparing the simulated CDNC
with cloud observations. The average of mean relative error (MRE‾) of
the simulated CDNC for cloud cases in each campaign ranges from 17.30 %
in Brazil to 25.90 % in China, indicating that the QDGE scheme
successfully reproduces observed variations in CDNC over a wide range of
different meteorological conditions and aerosol regimes. Additionally, we
carried out an error analysis by calculating the maximum information
coefficient (MIC) between the MRE and input
variables for the individual campaigns and all cloud cases. MIC values were
then sorted by aerosol properties, pollution level, environmental humidity,
and dynamic condition according to their relative importance to MRE. Based
on the error analysis, we found that the magnitude of MRE is more relevant
to the specification of input aerosol pollution level in marine regions and
aerosol hygroscopicity in continental regions than to other variables in the
simulation.