论文标题
使用基于替代物的贝叶斯推断,从表面速度观察中限制了冰川过程
Constraining subglacial processes from surface velocity observations using surrogate-based Bayesian inference
论文作者
论文摘要
基础运动是南极以外的冰通量的主要机制,但是在没有回顾性观察的情况下,预测它的广泛适用模型仍然难以捉摸。这是由于观察小规模的床特性的困难以及预测基础运动所取决于的时变水压。我们通过耦合冰动力学和冰川水文学的模型以及对西南格陵兰岛表面速度的观测来采取贝叶斯方法来推断八个在空间和时间上恒定恒定参数的后概率分布,从而使八个分布构成了滑动法律和水文模型的行为。由于该模型在计算上是昂贵的,因此经典的MCMC采样非常棘手。我们通过训练神经网络作为替代物来绕过这个问题,该替代物以计算成本的一部分近似模型。我们发现,相对于先前的分布,表面速度观察对模型参数建立了强大的限制,并且阐明了相关性,而模型则解释了观察到的方差的60%。但是,我们还发现,水文系统和压力状态的几种不同配置与观察结果一致,强调了持续数据收集和模型开发的需求。
Basal motion is the primary mechanism for ice flux outside Antarctica, yet a widely applicable model for predicting it in the absence of retrospective observations remains elusive. This is due to the difficulty in both observing small-scale bed properties and predicting a time-varying water pressure on which basal motion putatively depends. We take a Bayesian approach to these problems by coupling models of ice dynamics and subglacial hydrology and conditioning on observations of surface velocity in southwestern Greenland to infer the posterior probability distributions for eight spatially and temporally constant parameters governing the behavior of both the sliding law and hydrologic model. Because the model is computationally expensive, classical MCMC sampling is intractable. We skirt this issue by training a neural network as a surrogate that approximates the model at a sliver of the computational cost. We find that surface velocity observations establish strong constraints on model parameters relative to a prior distribution and also elucidate correlations, while the model explains 60% of observed variance. However, we also find that several distinct configurations of the hydrologic system and stress regime are consistent with observations, underscoring the need for continued data collection and model development.