Abstract

Abstract. In a context of global climate change, the understanding of the radiative role of clouds is crucial. On average, ice clouds such as cirrus have a significant positive radiative effect, but under some conditions the effect may be negative. However, many uncertainties remain regarding the role of ice clouds on Earth's radiative budget and in a changing climate. Global satellite observations are particularly well suited to monitoring clouds, retrieving their characteristics and inferring their radiative impact. To retrieve ice cloud properties (optical thickness and ice crystal effective size), current operational algorithms assume that each pixel of the observed scene is plane-parallel and homogeneous, and that there is no radiative connection between neighboring pixels. Yet these retrieval assumptions are far from accurate, as real radiative transfer is 3-D. This leads to the plane-parallel and homogeneous bias (PPHB) plus the independent pixel approximation bias (IPAB), which impacts both the estimation of top-of-the-atmosphere (TOA) radiation and the retrievals. An important factor that determines the impact of these assumptions is the sensor spatial resolution. High-spatial-resolution pixels can better represent cloud variability (low PPHB), but the radiative path through the cloud can involve many pixels (high IPAB). In contrast, low-spatial-resolution pixels poorly represent the cloud variability (high PPHB), but the radiation is better contained within the pixel field of view (low IPAB). In addition, the solar and viewing geometry (as well as cloud optical properties) can modulate the magnitude of the PPHB and IPAB. In this, Part II of our study, we simulate TOA 0.86 and 2.13 µm solar reflectances over a cirrus uncinus scene produced by the 3DCLOUD model. Then, 3-D radiative transfer simulations are performed with the 3DMCPOL code at spatial resolutions ranging from 50 m to 10 km, for 12 viewing geometries and nine solar geometries. It is found that, for simulated nadir observations taken at resolution higher than 2.5 km, horizontal radiation transport (HRT) dominates biases between 3-D and 1-D reflectance calculations, but these biases are mitigated by the side illumination and shadowing effects for off-zenith solar geometries. At resolutions coarser than 2.5 km, PPHB dominates. For off-nadir observations at resolutions higher than 2.5 km, the effect that we call THEAB (tilted and homogeneous extinction approximation bias) due to the oblique line of sight passing through many cloud columns contributes to a large increase of the reflectances, but 3-D radiative effects such as shadowing and side illumination for oblique Sun are also important. At resolutions coarser than 2.5 km, the PPHB is again the dominant effect. The magnitude and resolution dependence of PPHB and IPAB is very different for visible, near-infrared and shortwave infrared channels compared with the thermal infrared channels discussed in Part I of this study. The contrast of 3-D radiative effects between solar and thermal infrared channels may be a significant issue for retrieval techniques that simultaneously use radiative measurements across a wide range of solar reflectance and infrared wavelengths.

Highlights

  • Clouds cover between 60 % and 70 % of the Earth’s surface and are one of the principal actors in the Earth’s radiative budget (Intergovernmental Panel on Climate Change (IPCC) Fifth Assessment Report; Boucher et al, 2013)

  • In Part II of this study, we focus our attention on simulating Moderate Resolution Imaging Spectroradiometer (MODIS) visible–near-infrared (NIR) and shortwave infrared (SWIR) reflectance measurements in the 0.86 and 2.13 μm MODIS channels, respectively; these channels are currently used to retrieve cloud optical properties over water surfaces in the operational MODIS cloud product MOD06 (Platnick et al, 2017)

  • Zhang et al (2010) showed that the vertically homogeneous column assumption used in solar reflectance bi-spectral and thermal infrared retrieval techniques may lead to underestimates of Cloud optical thickness (COT) and cloud effective particle radius (CER) of thin cirrus due to the nonlinear dependence of ice crystal scattering properties on the effective particle size

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Summary

Introduction

Clouds cover between 60 % and 70 % of the Earth’s surface and are one of the principal actors in the Earth’s radiative budget (Intergovernmental Panel on Climate Change (IPCC) Fifth Assessment Report; Boucher et al, 2013). Zhang et al (2010) showed that the vertically homogeneous column assumption used in solar reflectance bi-spectral and thermal infrared (TIR) retrieval techniques may lead to underestimates of COT and CER of thin cirrus due to the nonlinear dependence of ice crystal scattering properties on the effective size. Zhang et al (2010) showed that the vertically homogeneous column assumption used in solar reflectance bi-spectral and thermal infrared retrieval techniques may lead to underestimates of COT and CER of thin cirrus due to the nonlinear dependence of ice crystal scattering properties on the effective particle size. Note that all of these effects are dependent on the cloud optical thickness heterogeneity, the vertical inhomogeneity of the volume extinction, the variation of the cloud top and base altitude (always considered flat in our study), and the solar and viewing angles. The total effect due to cloud inhomogeneity and 3-D radiative transfer is very complex and dependent on the spatial resolution

Overall differences between 3-D and 1-D reflectances
Plane-parallel and homogeneous bias
Tilted and homogeneous extinction approximation bias
Findings
Conclusions
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