Snow water equivalent retrieved from X- and dual Ku-band scatterometer measurements at Sodankylä using the Markov Chain Monte Carlo method

Jinmei Pan, M. Durand, J. Lemmetyinen, Desheng Liu, Jiancheng Shi
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引用次数: 5

Abstract

Abstract. Radar at high frequency is a promising technique for fine-resolution snow water equivalent (SWE) mapping. In this paper, we extend the Bayesian-based Algorithm for SWE Estimation (BASE) from passive to active microwave (AM) application and test it using ground-based backscattering measurements at three frequencies (X and dual Ku bands; 10.2, 13.3, and 16.7 GHz), with VV polarization obtained at a 50° incidence angle from the Nordic Snow Radar Experiment (NoSREx) in Sodankylä, Finland. We assumed only an uninformative prior for snow microstructure, in contrast with an accurate prior required in previous studies. Starting from a biased monthly SWE prior from land surface model simulation, two-layer snow state variables and single-layer soil variables were iterated until their posterior distribution could stably reproduce the observed microwave signals. The observation model is the Microwave Emission Model of Layered Snowpacks 3 and Active (MEMLS3&a) based on the improved Born approximation. Results show that BASE-AM achieved an RMSE of ∼ 10 cm for snow depth and less than 30 mm for SWE, compared with the RMSE of ∼ 20 cm snow depth and ∼ 50 mm SWE from priors. Retrieval errors are significantly larger when BASE-AM is run using a single snow layer. The results support the potential of X- and Ku-band radar for SWE retrieval and show that the role of a precise snow microstructure prior in SWE retrieval may be substituted by an SWE prior from exterior sources.
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利用马尔可夫链蒙特卡洛方法从索丹屈莱的 X 波段和双 Ku 波段散射计测量中获取雪水当量
摘要。高频雷达是一种用于精细分辨率雪水当量(SWE)测绘的有前途的技术。在本文中,我们将基于贝叶斯的雪水当量估算算法(BASE)从被动应用扩展到主动微波(AM)应用,并使用芬兰索丹屈莱的北欧雪地雷达实验(NoSREx)在 50° 入射角获得的三个频率(X 和双 Ku 波段;10.2、13.3 和 16.7 GHz)、VV 极化的地基反向散射测量结果对其进行了测试。与以往研究要求的精确先验不同,我们只假设了雪微观结构的非信息先验。从陆地表面模型模拟的有偏差的月降雪量先验值开始,对两层雪状态变量和单层土壤变量进行迭代,直到它们的后验分布能够稳定地再现观测到的微波信号。观测模型是基于改进的玻恩近似的层积雪微波发射模型 3 和主动模型(MEMLS3&a)。结果表明,BASE-AM 对雪深的均方根误差为 10 厘米,对 SWE 的均方根误差小于 30 毫米,而根据先验值,对雪深的均方根误差为 20 厘米,对 SWE 的均方根误差为 50 毫米。当使用单一雪层运行 BASE-AM 时,检索误差明显增大。这些结果支持了 X 波段和 Ku 波段雷达在 SWE 检索方面的潜力,并表明在 SWE 检索中,精确的雪微结构先验的作用可以被外部来源的 SWE 先验所替代。
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