Lin, J. W.-B., and J. D. Neelin, 2002: "Considerations for stochastic convective parameterization," J. Atmos. Sci., Vol. 59, No. 5, pp. 959-975. © Copyright 2002 by the American Meteorological Society (AMS). Permission to place a copy of this work on this server has been provided by the AMS. The AMS does not guarantee that the copy provided here is an accurate copy of the published work.
Convective parameterizations in general circulation models
(GCMs) generally only aim to simulate the mean or first-order
moment of convection; higher-moments associated with sub-grid
variability are not explicitly considered.
In this study, an empirically-based stochastic convective
parameterization is developed that uses an assumed mixed lognormal
distribution of rainfall, tuned with parameter values derived from
observations, to control selected non-mean statistical properties
of convection.
Testing of this stochastic convective parameterization
reveals that large-scale model dynamics interacts heavily with
the convective parameterization, in ways such that
the resulting output is fundamentally different from the input.
This suggests stochastic parameterizations cannot be calibrated
outside of a model's dynamical framework. Implications are discussed for
the relative merits of the empirical approach versus another approach that
introduces the stochastic process within the framework of the convective
parameterization.
Inclusion of the variance arising from unresolved scales by stochastic
parameterization of convection
is found to have a substantial impact upon atmospheric variability
in the tropics, including intraseasonal and longer time scales.