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Spectral albedo measurements over snow-covered slopes: theory and slope effect corrections

机译:积雪覆盖斜坡的光谱反玻璃测量:理论和斜坡效应校正

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Surface albedo is an essential variable to determine the Earth's surface energy budget, in particular for snow-covered areas where it is involved in one of the most powerful positive feedback loops of the climate system. In situ measurements of broadband and spectral albedo are therefore common. However they are subject to several artefacts. Here we investigate the sensitivity of spectral albedo measurements to surface slope, and we propose simple correction algorithms to retrieve the intrinsic albedo of a slope from measurements, as if it were flat. For this, we first derive the analytical equations relating albedo measured on a slope to intrinsic direct and diffuse albedo, the apportionment between diffuse and direct incoming radiation, and slope inclination and aspect. The theory accounts for two main slope effects. First, the slope affects the proportion of solar radiation intercepted by the surface relative to that intercepted by the upward-looking, horizontal, sensor. Second, the upward- and downward-looking sensors receive reduced radiation from the sky and the surface respectively and increased radiation from neighbouring terrain. Using this theory, we show that (i)?slope has a significant effect on albedo (over 0.01) from as little as a ≈1° inclination, causing distortions of the albedo spectral shape; (ii)?the first-order slope effect is sufficient to fully explain measured albedo up to ≈15°, which we designate “small-slope approximation”; and (iii)?for larger slopes, the theory depends on the neighbouring slope geometry and land cover, leading to much more complex equations. Next, we derive four correction methods from the small-slope approximation, to be used depending on whether (1)?the slope inclination and orientation are known or not, (2)?the snow surface is free of impurities or dirty, and (3)?a single or a time series of albedo measurements is available. The methods applied to observations taken in the Alps on terrain with up to nearly 20° slopes prove the ability to recover intrinsic albedo with a typical accuracy of 0.03 or better. From this study, we derive two main recommendations for future field campaigns: first, sloping terrain requires more attention because it reduces the measurement accuracy of albedo even for almost invisible slopes (1–2°). Second, while the correction of the slope effect is possible, it requires additional information such as the spectral diffuse and direction partitioning and if possible the actual slope inclination and aspect, especially when the absence of impurities can not be assumed.
机译:表面Albedo是确定地球表面能预算的必要变量,特别是对于涉及气候系统最强大的正反馈回路之一的积雪覆盖区域。因此,宽带和光谱反玻璃的原位测量常见。然而,他们受到几个人工制品的约束。在这里,我们研究了光谱反玻璃测量对表面斜率的敏感性,我们提出了简单的校正算法,以从测量中检索斜率的内在反镜,好像它是平的。为此,我们首先推导出与斜坡上测量的Albedo与内在直接和扩散反玻璃的分析方程,分散和直接进入辐射之间的分配,以及斜率倾斜和方面。理论占两个主要坡度效应。首先,斜坡影响由表面相对于由向上看,水平,传感器截取的表面截取的太阳辐射的比例。其次,向上和​​向下的传感器分别从天空和表面接收减少辐射,并增加来自相邻地形的辐射。使用这种理论,我们展示了(i)?斜坡对Albedo(超过0.01)的显着影响,从较少的倾斜度较小,导致反玻璃光谱形状的扭曲; (ii)?一阶斜率效应足以完全解释测量的Albedo至≈15°,我们指定“小斜率近似”; (iii)?对于较大的斜坡,该理论取决于邻近的斜坡几何形状和陆地覆盖,导致更复杂的方程。接下来,我们从小斜率近似推出四种校正方法,根据(1)是否是(1)?倾斜倾斜和方向是已知的,(2)?雪表面没有杂质或脏,和( 3)?可提供单一或时间序列的Albedo测量。应用于在地形上的阿尔卑斯山的观察方法,该方法具有高达近20°的斜坡,证明了典型精度为0.03或更高的典型精度恢复内在的Albedo。从本研究开始,我们派生了两项主要建议,以便将来的外地运动提供:首先,倾斜地形需要更多关注,因为它即使对于几乎看不见的斜坡(1-2°)即使它降低了Albedo的测量精度。其次,虽然倾斜斜率效应是可能的,但是它需要诸如光谱漫射和方向分区的附加信息,并且如果可能的实际斜率倾斜和方面,特别是当不能假设杂质时。

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