Both S. Prigarin and A. Marshak have been supported by an NSF Collaboration in Basic Science and Engineering (COBASE) travel grant. S. Prigarin has also been supported by INTAS (Grant 05-1000008-8024), RFBR (Grant 06-05-64484), and the President’s program Leading Scientific Schools (Grant NSH-4774.2006.1). A. Marshak has been supported by the Department of Energy (under Grant DE-A105-90ER61069 to NASA’s GSFC) as part of the Atmospheric Radiation Measurement (ARM) program and by NASA’s Radiation Program Office (under Grants 621-30-86 and 622-42-57). We thank Dr. Tamas Várnai for his help with testing the software and Dr. Warren Wiscombe for stimulating the development of stochastic models of broken cloud fields. We are grateful to two anonymous reviewers and to Dr. Sebastian Schmidt for the excellent job they did reviewing the paper.
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