Reducing noise associated with the Monte Carlo Independent Column Approximation for weather forecasting models

The Monte Carlo Independent Column Approximation (McICA) is a flexible method for representing subgrid-scale cloud inhomogeneity in radiative transfer schemes. It does, however, introduce conditional random errors but these have been shown to have little effect on climate simulations, where spatial and temporal scales of interest are large enough for effects of noise to be averaged out. This article considers the effect of McICA noise on a numerical weather prediction (NWP) model, where the time and spatial scales of interest are much closer to those at which the errors manifest themselves; this, as we show, means that noise is more significant. We suggest methods for efficiently reducing the magnitude of McICA noise and test these methods in a global NWP version of the UK Met Office Unified Model (MetUM). The resultant errors are put into context by comparison with errors due to the widely used assumption of maximum-random-overlap of plane-parallel homogeneous cloud. For a simple implementation of the McICA scheme, forecasts of near-surface temperature are found to be worse than those obtained using the plane-parallel, maximum-random-overlap representation of clouds. However, by applying the methods suggested in this article, we can reduce noise enough to give forecasts of near-surface temperature that are an improvement on the plane-parallel maximum-random-overlap forecasts. We conclude that the McICA scheme can be used to improve the representation of clouds in NWP models, with the provision that the associated noise is sufficiently small. © Crown Copyright 2011. Published by John Wiley & Sons, Ltd.

[1]  D. Randall,et al.  Stochastic generation of subgrid‐scale cloudy columns for large‐scale models , 2004 .

[2]  Robin J. Hogan,et al.  Deriving cloud overlap statistics from radar , 2000 .

[3]  Robert Pincus,et al.  The Monte Carlo Independent Column Approximation: an assessment using several global atmospheric models , 2008 .

[4]  J. Morcrette,et al.  Impact of a New Radiation Package, McRad, in the ECMWF Integrated Forecasting System , 2008 .

[5]  A. Slingo,et al.  Studies with a flexible new radiation code. I: Choosing a configuration for a large-scale model , 1996 .

[6]  Howard W. Barker,et al.  The Monte Carlo Independent Column Approximation's Conditional Random Noise: Impact on Simulated Climate , 2005 .

[7]  J. Morcrette,et al.  A fast, flexible, approximate technique for computing radiative transfer in inhomogeneous cloud fields , 2003 .

[8]  Robin J. Hogan,et al.  Tripleclouds: An Efficient Method for Representing Horizontal Cloud Inhomogeneity in 1D Radiation Schemes by Using Three Regions at Each Height , 2008 .

[9]  Howard W. Barker,et al.  Evaluation and optimization of sampling errors for the Monte Carlo Independent Column Approximation , 2004 .

[10]  Jean-Claude Thelen,et al.  Two fast radiative transfer methods to improve the temporal sampling of clouds in numerical weather prediction and climate models , 2009 .

[11]  Qiang Fu,et al.  The sensitivity of domain‐averaged solar fluxes to assumptions about cloud geometry , 1999 .

[12]  K. Liou Influence of Cirrus Clouds on Weather and Climate Processes: A Global Perspective , 1986 .

[13]  R. Hogan,et al.  Parameterizing Ice Cloud Inhomogeneity and the Overlap of Inhomogeneities Using Cloud Radar Data , 2003 .

[14]  Robin J. Hogan,et al.  Effect of improving representation of horizontal and vertical cloud structure on the Earth's global radiation budget. Part II: The global effects , 2010 .

[15]  Q. Fu,et al.  On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres , 1992 .

[16]  J. M. Edwards Efficient Calculation of Infrared Fluxes and Cooling Rates Using the Two-Stream Equations , 1996 .

[17]  M. Giorgetta,et al.  Tests of Monte Carlo Independent Column Approximation in the ECHAM5 Atmospheric GCM , 2007 .

[18]  Robert F. Cahalan,et al.  The albedo of fractal stratocumulus clouds , 1994 .

[19]  Gerald G. Mace,et al.  Effect of improving representation of horizontal and vertical cloud structure on the Earth's global radiation budget. Part I: Review and parametrization , 2010 .