On the Choice of Average Solar Zenith Angle

Idealized climate modeling studies often choose to neglect spatiotemporal variations in solar radiation, but doing so comes with an important decision about how to average solar radiation in space and time. Since both clear-sky and cloud albedo are increasing functions of the solar zenith angle, one...

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Main Author: Cronin, Timothy W.
Other Authors: Massachusetts Institute of Technology. Program in Atmospheres, Oceans, and Climate
Format: Article
Language:en_US
Published: American Meteorological Society 2015
Online Access:http://hdl.handle.net/1721.1/93789
https://orcid.org/0000-0002-7807-2878
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author Cronin, Timothy W.
author2 Massachusetts Institute of Technology. Program in Atmospheres, Oceans, and Climate
author_facet Massachusetts Institute of Technology. Program in Atmospheres, Oceans, and Climate
Cronin, Timothy W.
author_sort Cronin, Timothy W.
collection MIT
description Idealized climate modeling studies often choose to neglect spatiotemporal variations in solar radiation, but doing so comes with an important decision about how to average solar radiation in space and time. Since both clear-sky and cloud albedo are increasing functions of the solar zenith angle, one can choose an absorption-weighted zenith angle that reproduces the spatial- or time-mean absorbed solar radiation. Calculations are performed for a pure scattering atmosphere and with a more detailed radiative transfer model and show that the absorption-weighted zenith angle is usually between the daytime-weighted and insolation-weighted zenith angles but much closer to the insolation-weighted zenith angle in most cases, especially if clouds are responsible for much of the shortwave reflection. Use of daytime-average zenith angle may lead to a high bias in planetary albedo of approximately 3%, equivalent to a deficit in shortwave absorption of approximately 10 W m[superscript −2] in the global energy budget (comparable to the radiative forcing of a roughly sixfold change in CO[subscript 2] concentration). Other studies that have used general circulation models with spatially constant insolation have underestimated the global-mean zenith angle, with a consequent low bias in planetary albedo of approximately 2%–6% or a surplus in shortwave absorption of approximately 7–20 W m[superscript −2] in the global energy budget.
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spelling mit-1721.1/937892022-10-01T10:27:36Z On the Choice of Average Solar Zenith Angle Cronin, Timothy W. Massachusetts Institute of Technology. Program in Atmospheres, Oceans, and Climate Woods Hole Oceanographic Institution Cronin, Timothy W. Idealized climate modeling studies often choose to neglect spatiotemporal variations in solar radiation, but doing so comes with an important decision about how to average solar radiation in space and time. Since both clear-sky and cloud albedo are increasing functions of the solar zenith angle, one can choose an absorption-weighted zenith angle that reproduces the spatial- or time-mean absorbed solar radiation. Calculations are performed for a pure scattering atmosphere and with a more detailed radiative transfer model and show that the absorption-weighted zenith angle is usually between the daytime-weighted and insolation-weighted zenith angles but much closer to the insolation-weighted zenith angle in most cases, especially if clouds are responsible for much of the shortwave reflection. Use of daytime-average zenith angle may lead to a high bias in planetary albedo of approximately 3%, equivalent to a deficit in shortwave absorption of approximately 10 W m[superscript −2] in the global energy budget (comparable to the radiative forcing of a roughly sixfold change in CO[subscript 2] concentration). Other studies that have used general circulation models with spatially constant insolation have underestimated the global-mean zenith angle, with a consequent low bias in planetary albedo of approximately 2%–6% or a surplus in shortwave absorption of approximately 7–20 W m[superscript −2] in the global energy budget. National Science Foundation (U.S.) (Grant 1136480) 2015-02-05T17:31:38Z 2015-02-05T17:31:38Z 2014-08 2014-03 Article http://purl.org/eprint/type/JournalArticle 0022-4928 1520-0469 http://hdl.handle.net/1721.1/93789 Cronin, Timothy W. “On the Choice of Average Solar Zenith Angle.” J. Atmos. Sci. 71, no. 8 (August 2014): 2994–3003. © 2014 American Meteorological Society https://orcid.org/0000-0002-7807-2878 en_US http://dx.doi.org/10.1175/JAS-D-13-0392.1 Journal of the Atmospheric Sciences Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Meteorological Society American Meteorological Society
spellingShingle Cronin, Timothy W.
On the Choice of Average Solar Zenith Angle
title On the Choice of Average Solar Zenith Angle
title_full On the Choice of Average Solar Zenith Angle
title_fullStr On the Choice of Average Solar Zenith Angle
title_full_unstemmed On the Choice of Average Solar Zenith Angle
title_short On the Choice of Average Solar Zenith Angle
title_sort on the choice of average solar zenith angle
url http://hdl.handle.net/1721.1/93789
https://orcid.org/0000-0002-7807-2878
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