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Characteristics of intrinsic non-stationarity and its effect on eddy-covariance measurements of CO2 fluxes 本征非平稳性特征及其对CO2通量涡旋协方差测量的影响
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-03-24 DOI: 10.5194/npg-29-123-2022
Lei Liu, Yu Shi, F. Hu
Abstract. Stationarity is a critical assumption in the eddy-covariance method that is widely used to calculate turbulent fluxes. Many methods have been proposed to diagnose non-stationarity attributed to external non-turbulent flows. In this paper, we focus on intrinsic non-stationarity (IN) attributed to turbulence randomness. The detrended fluctuation analysis is used to quantify IN of CO2 turbulent fluxes in the downtown of Beijing. Results show that the IN is common in CO2 turbulent fluxes and is a small-scale phenomenon related to the inertial sub-range turbulence. The small-scale IN of CO2 turbulent fluxes can be simulated by the Ornstein–Uhlenbeck (OU) process as a first approximation. Based on the simulation results, we find that the flux-averaging time should be greater than 27 s to avoid the effects of IN. Besides, the non-stationarity diagnosis methods that do not take into account IN would possibly make a wrong diagnosis with some parameters.
摘要在涡流协方差法中,平稳性是一个关键的假设,而涡流协方差法被广泛用于计算湍流通量。已经提出了许多方法来诊断归因于外部非湍流流动的非平稳性。本文主要研究湍流随机性引起的固有非平稳性。采用趋势波动分析方法对北京市中心城区CO2湍流通量进行了IN量化。结果表明,IN在CO2湍流通量中是常见的,是一种与惯性亚范围湍流有关的小尺度现象。CO2湍流通量的小尺度IN可以用Ornstein-Uhlenbeck (OU)过程作为一级近似来模拟。仿真结果表明,为避免IN的影响,通量平均时间应大于27 s。此外,不考虑IN的非平稳性诊断方法可能会对某些参数进行错误诊断。
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引用次数: 2
Ensemble Riemannian data assimilation: towards large-scale dynamical systems 集成黎曼数据同化:面向大尺度动力系统
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-02-18 DOI: 10.5194/npg-29-77-2022
S. Tamang, A. Ebtehaj, P. V. van Leeuwen, Gilad Lerman, E. Foufoula‐Georgiou
Abstract. This paper presents the results of the ensemble Riemannian data assimilation for relatively high-dimensional nonlinear dynamical systems, focusing on the chaotic Lorenz-96 model and a two-layer quasi-geostrophic (QG) model of atmospheric circulation. The analysis state in this approach is inferred from a joint distribution that optimally couples the background probability distribution and the likelihood function, enabling formal treatment of systematic biases without any Gaussian assumptions. Despite the risk of the curse of dimensionality in the computation of the coupling distribution, comparisons with the classic implementation of the particle filter and the stochastic ensemble Kalman filter demonstrate that, with the same ensemble size, the presented methodology could improve the predictability of dynamical systems. In particular, under systematic errors, the root mean squared error of the analysis state can be reduced by 20 % (30 %) in the Lorenz-96 (QG) model.
摘要本文介绍了相对高维非线性动力系统的系综黎曼数据同化的结果,重点讨论了大气环流的混沌Lorenz-96模型和两层准地转(QG)模型。该方法中的分析状态是从联合分布推断出来的,该联合分布将背景概率分布和似然函数最佳耦合,从而能够在没有任何高斯假设的情况下正式处理系统偏差。尽管在耦合分布的计算中存在维数诅咒的风险,但与粒子滤波器和随机集合卡尔曼滤波器的经典实现进行比较表明,在相同的集合大小下,所提出的方法可以提高动力系统的可预测性。特别是,在系统误差下,分析状态的均方根误差可以减少20 % (30 %) 在Lorenz-96(QG)模型中。
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引用次数: 2
An approach for constraining mantle viscosities through assimilation of palaeo sea level data into a glacial isostatic adjustment model 通过同化古海平面资料到冰川均衡调整模式来约束地幔粘度的方法
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-02-17 DOI: 10.5194/npg-29-53-2022
R. Schachtschneider, J. Saynisch‐Wagner, V. Klemann, M. Bagge, Maik Thomas
Abstract. Glacial isostatic adjustment is largely governed by the rheologicalproperties of the Earth's mantle. Large mass redistributions in theocean–cryosphere system and the subsequent response of theviscoelastic Earth have led to dramatic sea level changes in thepast. This process is ongoing, and in order to understand and predictcurrent and future sea level changes, the knowledge of mantleproperties such as viscosity is essential. In this study, we present amethod to obtain estimates of mantle viscosities by the assimilation ofrelative sea level rates of change into a viscoelastic model of thelithosphere and mantle. We set up a particle filter with probabilisticresampling. In an identical twin experiment, we show that mantleviscosities can be recovered in a glacial isostatic adjustment modelof a simple three-layer Earth structure consisting of an elasticlithosphere and two mantle layers of different viscosity. Weinvestigate the ensemble behaviour on different parameters in the following three set-ups: (1) global observations data set since last glacial maximumwith different ensemble initialisations and observation uncertainties,(2) regional observations from Fennoscandia or Laurentide/Greenlandonly, and (3) limiting the observation period to 10 ka until thepresent. We show that the recovery is successful in all cases if thetarget parameter values are properly sampled by the initial ensembleprobability distribution. This even includes cases in which the targetviscosity values are located far in the tail of the initial ensembleprobability distribution. Experiments show that the method issuccessful if enough near-field observations are available. This makesit work best for a period after substantial deglaciation until the presentwhen the number of sea level indicators is relatively high.
摘要冰川均衡调整在很大程度上受地幔流变特性的控制。海洋-冰冻圈系统中的大质量重新分布以及随后粘弹性地球的响应导致了过去海平面的剧烈变化。这一过程正在进行中,为了了解和预测当前和未来的海平面变化,粘度等地幔性质的知识至关重要。在这项研究中,我们提出了一种方法,通过将相对海平面变化率同化为岩石圈和地幔的粘弹性模型来获得地幔粘度的估计值。我们设置了一个具有概率重采样的粒子过滤器。在一个相同的孪晶实验中,我们表明,在一个由弹性岩石圈和两个不同粘度的地幔层组成的简单三层地球结构的冰川均衡调整模型中,可以恢复地幔层。我们研究了以下三个集合中不同参数的集合行为:(1)自上次冰川最大期以来的全球观测数据集,具有不同的集合初始化和观测不确定性,(2)仅从芬诺斯坎迪亚或劳伦蒂德/格陵兰进行的区域观测,以及(3)将观测周期限制在10 ka直到现在。我们证明,如果目标参数值由初始集合概率分布正确采样,则在所有情况下恢复都是成功的。这甚至包括目标粘度值位于初始整体概率分布尾部的情况。实验表明,如果有足够的近场观测,该方法是成功的。这种方法在大量冰川消融后的一段时间内效果最好,直到现在海平面指标的数量相对较高。
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引用次数: 1
Direct Bayesian model reduction of smaller scale convective activity conditioned on large-scale dynamics 大尺度动力学条件下小尺度对流活动的直接贝叶斯模型约简
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-02-16 DOI: 10.5194/npg-29-37-2022
R. Polzin, A. Müller, H. Rust, P. Névir, P. Koltai
Abstract. We pursue a simplified stochastic representation of smaller scale convective activity conditioned on large-scale dynamics in the atmosphere. For identifying a Bayesian model describing the relation of different scales we use a probabilistic approach by Gerber and Horenko (2017) called Direct Bayesian Model Reduction (DBMR). This is a Bayesian relation model between categorical processes (discrete states), formulated via the conditional probabilities. The convective available potential energy (CAPE) is applied as a large-scale flow variable combined with a subgrid smaller scale time series for the vertical velocity. We found a probabilistic relation of CAPE and vertical up- and downdraft for day and night. This strategy is part of a development process for parametrizations in models of atmospheric dynamics representing the effective influence of unresolved vertical motion on the large-scale flows. The direct probabilistic approach provides a basis for further research on smaller scale convective activity conditioned on other possible large-scale drivers.
摘要我们追求在大气大尺度动力学条件下的小尺度对流活动的简化随机表示。为了确定描述不同尺度关系的贝叶斯模型,我们使用了Gerber和Horenko(2017)的概率方法,称为直接贝叶斯模型约简(DBMR)。这是一个分类过程(离散状态)之间的贝叶斯关系模型,通过条件概率来表述。采用对流有效势能(CAPE)作为大尺度流动变量,结合子网格小尺度时间序列表示垂直速度。我们发现了CAPE与白天和夜间垂直上升和下降气流的概率关系。这一策略是大气动力学模式参数化发展过程的一部分,这些模式代表了未解决的垂直运动对大尺度流动的有效影响。直接概率方法为进一步研究其他可能的大尺度驱动条件下的小尺度对流活动提供了基础。
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引用次数: 1
How many modes are needed to predict climate bifurcations? Lessons from an experiment 预测气候分叉需要多少种模式?实验的经验教训
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-02-07 DOI: 10.5194/npg-29-17-2022
B. Dubrulle, F. Daviaud, D. Faranda, L. Marié, B. Saint-Michel
Abstract. According to everyone's experience, predicting the weather reliably over more than 8 d seems an impossible task for our best weather agencies. At the same time, politicians and citizens are asking scientists for climate projections several decades into the future to guide economic and environmental policies, especially regarding the maximum admissible emissions of CO2. To what extent is this request scientifically admissible? In this review we will investigate this question, focusing on the topic of predictions of transitions between metastable states of the atmospheric or oceanic circulations. Two relevant examples are the switching between zonal and blocked atmospheric circulation at mid-latitudes and the alternation of El Niño and La Niña phases in the Pacific Ocean. The main issue is whether present climate models, which necessarily have a finite resolution and a smaller number of degrees of freedom than the actual terrestrial system, are able to reproduce such spontaneous or forced transitions. To do so, we will draw an analogy between climate observations and results obtained in our group on a laboratory-scale, turbulent, von Kármán flow in which spontaneous transitions between different states of the circulation take place. We will detail the analogy, investigate the nature of the transitions and the number of degrees of freedom that characterize the latter, and discuss the effect of reducing the number of degrees of freedom in such systems. We will also discuss the role of fluctuations and their origin and stress the importance of describing very small scales to capture fluctuations of correct intensity and scale.
摘要根据每个人的经验,可靠地预测天气超过8 对于我们最好的气象机构来说,这似乎是一项不可能完成的任务。与此同时,政治家和公民正在要求科学家对未来几十年的气候预测,以指导经济和环境政策,特别是关于二氧化碳的最大允许排放量。这一请求在多大程度上是科学上可以接受的?在这篇综述中,我们将研究这个问题,重点是预测大气或海洋环流亚稳态之间的转变。两个相关的例子是中纬度地区纬向和阻塞大气环流之间的转换,以及太平洋厄尔尼诺和拉尼娜阶段的交替。主要问题是,目前的气候模型必然具有有限的分辨率和比实际陆地系统更小的自由度,是否能够再现这种自发或被迫的转变。为此,我们将在气候观测和我们小组在实验室规模上获得的结果之间进行类比,即在不同环流状态之间发生自发转变的湍流冯·卡门流。我们将详细描述这种类比,研究过渡的性质和表征后者的自由度数量,并讨论在这种系统中减少自由度数量的影响。我们还将讨论波动的作用及其起源,并强调描述非常小的尺度以捕捉正确强度和尺度的波动的重要性。
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引用次数: 7
Predicting Sea Surface Temperatures with Coupled Reservoir Computers 用耦合油藏计算机预测海面温度
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-02-02 DOI: 10.5194/npg-2022-4
Benjamin Walleshauser, E. Bollt
Abstract. Sea surface temperature (SST) is a key factor in understanding the greater climate of the Earth and is an important variable when making weather predictions. Methods of machine learning have become ever more present and important in data-driven science and engineering including in important areas for Earth Science. We propose here an efficient framework that allows us to make global SST forecasts by use of a coupled reservoir computer method that we have specialized to this domain allowing for template regions that accommodate irregular coastlines. Reservoir computing is an especially good method for forecasting spatiotemporally complex dynamical systems, as it is a machine learning method that despite many randomly selected weights, it is nonetheless highly accurate and easy to train. Our approach provides the benefit of a simple and computationally efficient model that is able to predict sea surface temperatures across the entire Earth’s oceans. The results are demonstrated to replicate the actual dynamics of the system over a forecasting period of several weeks.
摘要海表温度(SST)是了解地球大气候的一个关键因素,也是天气预报时的一个重要变量。机器学习方法在数据驱动的科学和工程中变得越来越普遍和重要,包括在地球科学的重要领域。我们在这里提出了一个有效的框架,使我们能够通过使用我们专门用于该领域的耦合水库计算机方法来进行全球海温预报,该方法允许模板区域容纳不规则的海岸线。油藏计算是预测时空复杂动力系统的一种特别好的方法,因为它是一种机器学习方法,尽管有许多随机选择的权重,但它仍然是高度准确且易于训练的。我们的方法提供了一个简单且计算效率高的模型,能够预测整个地球海洋的海面温度。结果被证明可以在几个星期的预测期内复制系统的实际动态。
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引用次数: 5
Climate Bifurcations in a Schwarzschild Equation Model of the Arctic Atmosphere 北极大气史瓦西方程模式的气候分岔
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-01-19 DOI: 10.5194/npg-2022-2
Kolja L. Kypke, W. Langford, G. Lewis, Allan R. Willms
Abstract. A column model of the Arctic atmosphere-ocean system is developed including the nonlinear responses of surface albedo and water vapor to temperature. The atmosphere is treated as a gray gas and the flux of longwave radiation is governed by the two-stream Schwarzschild equations. Representative carbon pathways (RCPs) are used to model carbon dioxide concentrations into the future. The resulting nine-dimensional two-point boundary value problem is solved under various RCPs and the solutions analyzed. The model predicts that under the highest carbon pathway, the Arctic climate will undergo an irreversible bifurcation to a warm steady state, which would correspond to an annually ice-free situation. Under the lowest carbon pathway, corresponding to very aggressive carbon emission reductions, the model exhibits only a mild increase in Arctic temperatures. Under the two moderate carbon pathways, temperatures increase more substantially, and the system enters a region of bistability where external perturbations could possibly cause an irreversible switch to a warm, ice-free state.
摘要建立了北极大气-海洋系统的柱模型,包括表面反照率和水汽对温度的非线性响应。大气被视为灰色气体,长波辐射通量由双流Schwarzschild方程控制。代表性碳途径(RCP)用于模拟未来的二氧化碳浓度。得到的九维两点边值问题在各种RCP下求解,并对其解进行了分析。该模型预测,在最高碳路径下,北极气候将经历不可逆转的分叉,转变为温暖的稳定状态,这将对应于每年的无冰状态。在最低碳路径下,对应于非常积极的碳减排,该模型只显示出北极温度的温和上升。在两种中等碳路径下,温度大幅上升,系统进入双稳态区域,外部扰动可能导致不可逆地切换到温暖、无冰状态。
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引用次数: 0
The Empirical Adaptive Wavelet Decomposition (EAWD): An adaptive decomposition for the variability analysis of observation time series in atmospheric science 经验自适应小波分解(EAWD):一种用于大气科学观测时间序列变异性分析的自适应分解
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-01-07 DOI: 10.5194/npg-2021-37
O. Delage, T. Portafaix, H. Bencherif, A. Bourdier, Emma Lagracie
Abstract. Most observational data sequences in geophysics can be interpreted as resulting from the interaction of several physical processes at several time and space scales. As a consequence, measurements time series have often characteristics of non-linearity and non-stationarity and thereby exhibit strong fluctuations at different time-scales. The variability analysis of a time series consists in decomposing it into several mode of variability, each mode representing the fluctuations of the original time series at a specific time-scale. Such a decomposition enables to obtain a time-frequency representation of the original time series and turns out to be very useful to estimate the dimensionality of the underlying dynamics. Decomposition techniques very well suited to non-linear and non-stationary time series have recently been developed in the literature. Among the most widely used of these technics are the empirical mode decomposition (EMD) and the empirical wavelet transformation (EWT). The purpose of this paper is to present a new adaptive filtering method that combines the advantages of the EMD and EWT technics, while remaining close to the dynamics of the original signal made of atmospheric observations, which means reconstructing as close as possible to the original time series, while preserving its variability at different time scales.
摘要地球物理学中的大多数观测数据序列可以解释为在几个时间和空间尺度上几个物理过程相互作用的结果。因此,测量时间序列通常具有非线性和非平稳性的特征,从而在不同的时间尺度上表现出强烈的波动。时间序列的可变性分析包括将其分解为几个可变性模式,每个模式代表原始时间序列在特定时间尺度上的波动。这样的分解能够获得原始时间序列的时间-频率表示,并且对于估计潜在动力学的维度非常有用。最近在文献中开发了非常适合非线性和非平稳时间序列的分解技术。这些技术中应用最广泛的是经验模式分解(EMD)和经验小波变换(EWT)。本文的目的是提出一种新的自适应滤波方法,该方法结合了EMD和EWT技术的优点,同时保持接近大气观测原始信号的动态,这意味着重建尽可能接近原始时间序列,同时保持其在不同时间尺度上的可变性。
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引用次数: 1
Integrated hydrodynamic and machine learning models for compound flooding prediction in a data-scarce estuarine delta 数据匮乏的河口三角洲复合洪水预测的流体动力学和机器学习集成模型
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2022-01-04 DOI: 10.5194/npg-2021-36
J. Sampurno, Valentin Vallaeys, Randy Ardianto, E. Hanert
Abstract. Flood forecasting based on water level modeling is an essential non-structural measure against compound flooding over the globe. With its vulnerability increased under climate change, every coastal area became urgently needs a water level model for better flood risk management. Unfortunately, for local water management agencies in developing countries building such a model is challenging due to the limited computational resources and the scarcity of observational data. Here, we attempt to solve the issue by proposing an integrated hydrodynamic and machine learning approach to predict compound flooding in those areas. As a case study, this integrated approach is implemented in Pontianak, the densest coastal urban area over the Kapuas River delta, Indonesia. Firstly, we built a hydrodynamic model to simulate several compound flooding scenarios, and the outputs are then used to train the machine learning model. To obtain a robust machine learning model, we consider three machine learning algorithms, i.e., Random Forest, Multi Linear Regression, and Support Vector Machine. The results show that this integrated scheme is successfully working. The Random Forest performs as the most accurate algorithm to predict flooding hazards in the study area, with RMSE = 0.11 m compared to SVM (RMSE = 0.18 m) and MLR (RMSE = 0.19 m). The machine-learning model with the RF algorithm can predict ten out of seventeen compound flooding events during the testing phase. Therefore, the random forest is proposed as the most appropriate algorithm to build a reliable ML model capable of assessing the compound flood hazards in the area of interest.
摘要基于水位模型的洪水预报是应对全球复合洪水的一项重要的非结构性措施。随着气候变化下脆弱性的增加,每个沿海地区都迫切需要一个水位模型来更好地管理洪水风险。不幸的是,对于发展中国家的地方水管理机构来说,由于计算资源有限和观测数据稀缺,建立这样的模型具有挑战性。在这里,我们试图通过提出一种集成的流体动力学和机器学习方法来预测这些地区的复合洪水来解决这个问题。作为一个案例研究,这一综合方法在印度尼西亚卡普亚斯河三角洲人口最密集的沿海城市蓬蒂亚纳克实施。首先,我们建立了一个水动力学模型来模拟几种复合洪水场景,然后将输出用于训练机器学习模型。为了获得稳健的机器学习模型,我们考虑了三种机器学习算法,即随机森林、多元线性回归和支持向量机。结果表明,该集成方案是成功的。随机森林是预测研究区域洪水灾害最准确的算法,RMSE=0.11 m,而SVM(RMSE=0.18 m)和MLR(RMSE=0.019 m)。在测试阶段,具有RF算法的机器学习模型可以预测十七次复合洪水事件中的十次。因此,随机森林被认为是建立可靠的ML模型的最合适算法,该模型能够评估感兴趣区域的复合洪水灾害。
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引用次数: 6
Brief communication: Lower-bound estimates for residence time of energy in the atmospheres of Venus, Mars and Titan 简短交流:能量在金星、火星和泰坦大气层中停留时间的下限估计
IF 2.2 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Pub Date : 2021-11-03 DOI: 10.5194/npg-28-627-2021
J. Pelegrina, C. Osácar, A. Fernández-Pacheco
Abstract. The residence time of energy in a planetary atmosphere, τ, which was recently introduced and computed for the Earth's atmosphere (Osácar et al., 2020), is here extended to the atmospheres of Venus, Mars and Titan. τ is the timescale for the energy transport across the atmosphere. In the cases ofVenus, Mars and Titan, these computations are lower bounds due to a lack of some energy data. If the analogy between τ and the solar Kelvin–Helmholtz scale is assumed, then τ would also be the time the atmosphere needs to return to equilibrium after a global thermal perturbation.
摘要能量在行星大气中的停留时间τ最近被引入并计算用于地球大气(Osácar et al., 2020),这里扩展到金星、火星和土卫六的大气。τ是能量在大气中传输的时间标度。在金星、火星和土卫六的情况下,由于缺乏一些能量数据,这些计算是下限。如果假设τ与太阳开尔文-亥姆霍兹尺度之间的类比,那么τ也将是大气在全球热扰动后恢复平衡所需的时间。
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引用次数: 0
期刊
Nonlinear Processes in Geophysics
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