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Circumpolar Transport and Overturning Strength Inferred From Satellite Observables Using Deep Learning in an Eddying Southern Ocean Channel Model
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-18 DOI: 10.1029/2024MS004262
Shuai Meng, Andrew L. Stewart, Georgy Manucharyan

The Southern Ocean connects the ocean's major basins via the Antarctic Circumpolar Current (ACC), and closes the global meridional overturning circulation (MOC). Observing these transports is challenging because three-dimensional mesoscale-resolving measurements of currents, temperature, and salinity are required to calculate transport in density coordinates. Previous studies have proposed to circumvent these limitations by inferring subsurface transports from satellite measurements using data-driven methods. However, it is unclear whether these approaches can identify the signatures of subsurface transport in the Southern Ocean, which exhibits an energetic mesoscale eddy field superposed on a highly heterogeneous mean stratification and circulation. This study employs Deep Learning techniques to link the transports of the ACC and the upper and lower branches of the MOC to sea surface height (SSH) and ocean bottom pressure (OBP), using an idealized channel model of the Southern Ocean as a test bed. A key result is that a convolutional neural network produces skillful predictions of the ACC transport and MOC strength (skill score of ${sim} $0.74 and ${sim} $0.44, respectively). The skill of these predictions is similar across timescales ranging from daily to decadal but decreases substantially if SSH or OBP is omitted as a predictor. Using a fully connected or linear neural network yields similarly accurate predictions of the ACC transport but substantially less skillful predictions of the MOC strength. Our results suggest that Deep Learning offers a route to linking the Southern Ocean's zonal transport and overturning circulation to remote measurements, even in the presence of pronounced mesoscale variability.

南大洋通过南极环极洋流(ACC)连接大洋的主要盆地,并关闭全球经向翻转环流(MOC)。观测这些传输是一项挑战,因为要计算密度坐标中的传输,需要对海流、温度和盐度进行三维中尺度分辨率测量。以前的研究曾提出利用数据驱动方法,通过卫星测量推断次表层传输来规避这些限制。然而,目前还不清楚这些方法能否识别南大洋的次表层传输特征,因为南大洋在高度异质的平均分层和环流上叠加了高能中尺度涡场。本研究以理想化的南大洋通道模型为试验平台,采用深度学习技术将 ACC 和 MOC 上下分支的传输与海面高度(SSH)和洋底压力(OBP)联系起来。一个关键结果是卷积神经网络对ACC传输和MOC强度产生了娴熟的预测(技能得分分别为∼ ${sim} $ 0.74和∼ ${sim} $ 0.44)。在从日到十年的时间尺度上,这些预测的技能是相似的,但如果省略 SSH 或 OBP 作为预测因子,预测技能就会大大降低。使用全连接或线性神经网络可以得到类似准确的 ACC 传输预测结果,但对 MOC 强度的预测技能却大大降低。我们的研究结果表明,深度学习提供了一条将南大洋的带状传输和倾覆环流与遥感测量联系起来的途径,即使存在明显的中尺度变率。
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引用次数: 0
Reduction of the Tropical Atmospheric Dynamics Into Shallow-Water Analogs: A Formulation Analysis
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-18 DOI: 10.1029/2023MS004180
Jun-Ichi Yano

The shallow-water analogue models for the tropical atmosphere are examined from a formulational point of view. The normal-mode approach provides a formal procedure to reduce the primitive equation system to a shallow-water analogue, although approaches based on vertical integrals of the primitive equation system may be more intuitively appealing. Under a general framework of the latter, classical models by Gill (1980, https://doi.org/10.1256/smsqj.44904) and Lindzen and Nigam (1987, 2.0.co;2>https://doi.org/10.1175/1520-0469(1987)044<2418:otross>2.0.co;2) are derived in a deductive manner, by elucidating their limitations, implications, as well physical processes assumed. Major advantage of shallow-water analogue models is that after a vertical integral, the determination of convective heating rate simply reduces to that of a precipitation rate. Consequently, the question of representing convection also almost reduces to that of precipitation. This fact leads to confusions in literature about distinction between large-scale precipitation and subgrid-scale convection. This framework further supports a popular notion of the moisture as a key variable for describing convection. By reviewing the existing formulations, it is shown that convection can be parameterized without moisture under the limit of the parcel-environment quasi-equilibrium.

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引用次数: 0
Multi-Decadal Soil Moisture and Crop Yield Variability—A Case Study With the Community Land Model (CLM5)
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-17 DOI: 10.1029/2023MS004023
Theresa Boas, Heye Bogena, Dongryeol Ryu, Andrew Western, Harrie-Jan Hendricks Franssen

While the impacts of climate change on global food security have been studied extensively, the capability of emerging tools that couple land surface processes and crop growth in reproducing inter-annual yield variability at regional scale remains to be tested rigorously. In this study, we analyzed the effects of weather variations between years (1999–2019) on regional crop productivity for two agriculturally managed regions with contrasting climate and cropping conditions: the German state of North Rhine-Westphalia (DE-NRW) and the Australian state of Victoria (AUS-VIC), using the latest version of the Community Land Model (CLM5) and the WFDE5 (WATCH Forcing Data methodology applied to ECMWF reanalysis version 5) reanalysis. Overall, the simulation results were able to reproduce the total annual crop yields of certain crops, while also capturing the differences in total yield magnitudes between the domains. However, the simulations showed limitations in correctly capturing inter-annual differences of crop yield compared to official yield records, which resulted in relatively low correlation coefficients between 0.07 and 0.39 in AUS-VIC and between 0.11 and 0.42 in DE-NRW. The mean absolute deviation of simulated winter wheat yields was up to 4.6 times lower compared to state-wide records from 1999 to 2019. Our results suggest the following limitations of CLM5: (a) limitations in simulating yield responses from plant hydraulic stress; (b) errors in simulating soil moisture contents compared to satellite-derived data; and (c) errors in the representation of cropland in general, for example, crop parameterizations and human influences.

虽然气候变化对全球粮食安全的影响已得到广泛研究,但将地表过程与作物生长结合起来的新兴工具在区域范围内再现年际产量变化的能力仍有待严格检验。在这项研究中,我们利用最新版本的社区土地模型(CLM5)和 WFDE5(WATCH Forcing Data methodology applied to ECMWF reanalysis version 5)再分析,分析了德国北莱茵-威斯特法伦州(DE-NRW)和澳大利亚维多利亚州(AUS-VIC)这两个气候和耕作条件截然不同的农业管理区的年际天气变化(1999-2019 年)对区域作物产量的影响。总体而言,模拟结果能够再现某些作物的年总产量,同时也能捕捉到不同区域总产量的差异。然而,与官方产量记录相比,模拟结果在正确捕捉作物产量的年际差异方面存在局限性,这导致相关系数相对较低,澳大利 亚-维多利亚州介于 0.07 和 0.39 之间,而德国-西北地区介于 0.11 和 0.42 之间。与 1999 年至 2019 年的全州记录相比,模拟冬小麦产量的平均绝对偏差最多低 4.6 倍。我们的结果表明 CLM5 存在以下局限性:(a)在模拟植物水力胁迫的产量响应方面存在局限性;(b)与卫星数据相比,在模拟土壤含水量方面存在误差;以及(c)在表示一般耕地方面存在误差,例如作物参数化和人为影响。
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引用次数: 0
Coupling Soil Erosion and Sediment Transport Processes With the Variable Infiltration Capacity Model (VIC-SED) for Applications Suitable With Coarse Spatial and Temporal Resolutions 将土壤侵蚀和沉积物迁移过程与可变渗透能力模型(VIC-SED)耦合起来,以满足粗时空分辨率的应用需求
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-14 DOI: 10.1029/2024MS004307
Xianhong Xie, Xu Liang

Understanding soil erosion and sediment transport from the hillslope scale to the regional scale is crucial for studies on water quality, soil-water conservation, the lateral carbon cycle, environmental zoning and vulnerability. However, most existing erosion and sediment transport models are only applicable at the hillslope scale or for small watersheds with fine spatial resolutions (typically much less than 1 km). This study presents a process-based soil erosion and sediment transport model for model applications designed for applications with coarse spatial (e.g., ≥10 km) and temporal (e.g., from hourly to daily) resolutions. This new model, referred to as VIC-SED, effectively accounts for interactions between erosion and hydrological processes. This is achieved by tightly coupling the erosion processes with a hydrologically based Three-layer Variable Infiltration Capacity (VIC-3L) land surface model (LSM) and to a multi-scale routing (MSR) model. VIC-SED considers the impacts of (a) the spatio-temporal variability of rainfall intensity on erosion processes and (b) soil moisture on the soil detachment process. VIC-SED is evaluated in two watersheds. Results demonstrate that VIC-SED is capable of reproducing water and suspended sediment discharges at coarse spatial resolutions and varying temporal scales varying from 15-min to daily intervals. Our study indicates that the VIC-SED model is a promising tool for studying and assessing the impacts of climate and land cover changes on suspended sediment yields over large regions using coarse spatial and temporal resolutions.

了解从山坡尺度到区域尺度的土壤侵蚀和沉积物迁移对水质、水土保持、横向碳循环、环境分区和脆弱性研究至关重要。然而,大多数现有的侵蚀和沉积物迁移模型仅适用于山坡尺度或空间分辨率较低(通常小于 1 千米)的小流域。本研究提出了一种基于过程的土壤侵蚀和泥沙输运模型,该模型专为粗空间分辨率(如≥10 公里)和时间分辨率(如从每小时到每天)的应用而设计。这一新模型被称为 VIC-SED,可有效解释侵蚀和水文过程之间的相互作用。这是通过将侵蚀过程与基于水文的三层可变渗透能力(VIC-3L)地表模型(LSM)和多尺度路由模型(MSR)紧密耦合来实现的。VIC-SED 考虑了(a)降雨强度的时空变化对侵蚀过程的影响和(b)土壤湿度对土壤剥离过程的影响。在两个流域对 VIC-SED 进行了评估。结果表明,VIC-SED 能够以较高的空间分辨率和不同的时间尺度(从 15 分钟到每天)再现水和悬浮沉积物的排放。我们的研究表明,VIC-SED 模型是一种很有前途的工具,可以利用较高的空间和时间分辨率研究和评估气候和土地覆盖变化对大面积悬浮泥沙产量的影响。
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引用次数: 0
Using Shortened Spin-Ups to Speed Up Ocean Biogeochemical Model Optimization 利用缩短的自旋加速海洋生物地球化学模型优化
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-10 DOI: 10.1029/2023MS003941
S. Oliver, S. Khatiwala, C. Cartis, Ben Ward, Iris Kriest

The performance of global ocean biogeochemical models can be quantified as the misfit between modeled tracer distributions and observations, which is sought to be minimized during parameter optimization. These models are computationally expensive due to the long spin-up time required to reach equilibrium, and therefore optimization is often laborious. To reduce the required computational time, we investigate whether optimization of a biogeochemical model with shorter spin-ups provides the same optimized parameters as one with a full-length, equilibrated spin-up over several millennia. We use the global ocean biogeochemical model MOPS with a range of lengths of model spin-up and calibrate the model against synthetic observations derived from previous model runs using a derivative-free optimization algorithm (DFO-LS). When initiating the biogeochemical model with tracer distributions that differ from the synthetic observations used for calibration, a minimum spin-up length of 2,000 years was required for successful optimization due to certain parameters which influence the transport of matter from the surface to the deeper ocean, where timescales are longer. However, preliminary results indicate that successful optimization may occur with an even shorter spin-up by a judicious choice of initial condition, here the synthetic observations used for calibration, suggesting a fruitful avenue for future research.

全球海洋生物地球化学模式的性能可以量化为模式示踪剂分布与观测数据之间的不匹配度,在参数优化过程中力求将其最小化。由于达到平衡所需的自旋时间较长,这些模型的计算成本较高,因此优化工作往往十分费力。为了减少所需的计算时间,我们研究了对自旋时间较短的生物地球化学模型进行优化,是否能获得与自旋时间较长、平衡时间长达数千年的生物地球化学模型相同的优化参数。我们使用了全球海洋生物地球化学模型 MOPS 和一系列模型自旋长度,并使用无导数优化算法(DFO-LS)根据以前模型运行中的合成观测结果对模型进行了校准。由于某些参数会影响物质从表层向深海的迁移,而深海的时间尺度较长,因此在启动生物地球化学模式时,示踪剂分布与校准所用的合成观测数据不同,因此至少需要 2000 年的启动时间才能成功优化。不过,初步结果表明,通过明智地选择初始条件(这里指用于校准的合成观测数据),在更短的自旋时间内也可以成功优化,这为今后的研究提供了一条富有成效的途径。
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引用次数: 0
Estimating Uncertainty in Simulated ENSO Statistics 估计厄尔尼诺/南方涛动模拟统计的不确定性
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-09 DOI: 10.1029/2023MS004147
Yann Y. Planton, Jiwoo Lee, Andrew T. Wittenberg, Peter J. Gleckler, Éric Guilyardi, Shayne McGregor, Michael J. McPhaden

Large ensembles of model simulations are frequently used to reduce the impact of internal variability when evaluating climate models and assessing climate change induced trends. However, the optimal number of ensemble members required to distinguish model biases and climate change signals from internal variability varies across models and metrics. Here we analyze the mean, variance and skewness of precipitation and sea surface temperature in the eastern equatorial Pacific region often used to describe the El Niño–Southern Oscillation (ENSO), obtained from large ensembles of Coupled model intercomparison project phase 6 climate simulations. Leveraging established statistical theory, we develop and assess equations to estimate, a priori, the ensemble size or simulation length required to limit sampling-based uncertainties in ENSO statistics to within a desired tolerance. Our results confirm that the uncertainty of these statistics decreases with the square root of the time series length and/or ensemble size. Moreover, we demonstrate that uncertainties of these statistics are generally comparable when computed using either pre-industrial control or historical runs. This suggests that pre-industrial runs can sometimes be used to estimate the expected uncertainty of statistics computed from an existing historical member or ensemble, and the number of simulation years (run duration and/or ensemble size) required to adequately characterize the statistic. This advance allows us to use existing simulations (e.g., control runs that are performed during model development) to design ensembles that can sufficiently limit diagnostic uncertainties arising from simulated internal variability. These results may well be applicable to variables and regions beyond ENSO.

在评估气候模式和气候变化趋势时,经常使用大型模式模拟集合来减少内部变异的影响。然而,从内部变率中区分模式偏差和气候变化信号所需的最佳集合成员数因模式和指标而异。在这里,我们分析了经常用来描述厄尔尼诺-南方涛动(ENSO)的东赤道太平洋地区降水和海面温度的平均值、方差和偏度,这些数据是从耦合模式相互比较项目第 6 阶段气候模拟的大型集合中获得的。利用已建立的统计理论,我们开发并评估了一些方程,以先验地估计将厄尔尼诺-南方涛动统计中基于采样的不确定性限制在所需容限内所需的集合规模或模拟长度。我们的结果证实,这些统计数据的不确定性会随着时间序列长度和/或集合规模的平方根而减小。此外,我们还证明,在使用工业化前对照或历史运行进行计算时,这些统计量的不确定性基本相当。这表明,工业化前的运行有时可用于估算根据现有历史成员或集合计算的统计量的预期不确定性,以及充分描述统计量所需的模拟年数(运行持续时间和/或集合规模)。这一进步使我们能够利用现有的模拟(例如,在模型开发过程中进行的控制运行)来设计集合,以充分限制模拟内部变异性引起的诊断不确定性。这些结果很可能适用于厄尔尼诺/南方涛动以外的变量和区域。
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引用次数: 0
On Climate Change and Trade Cumulus Organization 气候变化与贸易积云组织
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-07 DOI: 10.1029/2023MS004057
Jan Kazil, Pornampai Narenpitak, Takanobu Yamaguchi, Graham Feingold

We investigate the role of mesoscale organization for the response of trade cumulus (Tc) clouds to climate change. Among four recently identified states of Tc organization, the “Sugar” state has the lowest and the “Flower” state the highest cloud fraction and cloud radiative effect. Using large-eddy simulations, we find that the Flower Tc state is more sensitive to climate change than the Sugar Tc state. In the considered case, the short-wave cloud radiative effect weakens by 0.28 W m−2 in the Sugar state and by 1.5 W m−2 in the Flower state over the course of 21st century under the RCP8.5 emissions scenario. This is accompanied by a reduction of the short-wave cloud radiative effect variance on the mesoscale. The primary mechanism is stabilization of the boundary layer by stronger long-wave radiative heating at the inversion associated with higher greenhouse gas levels. This weakens the boundary layer mesoscale circulation that is responsible for aggregation of moisture and formation of the Flower Tc state. Thus, in the considered case, organization on the mesoscale amplifies the positive feedback of Tc clouds to climate change. Owing to the widespread occurrence of boundary layer mesoscale circulations in the Tc regime, this mechanism could modulate the Tc response to climate change in general.

我们研究了中尺度组织对贸易积云(Tc)对气候变化响应的作用。在最近确定的四种 Tc 组织状态中,"糖 "状态的云分数和云辐射效应最低,而 "花 "状态的云分数和云辐射效应最高。通过大涡流模拟,我们发现 "花 "Tc 状态比 "糖 "Tc 状态对气候变化更敏感。在考虑的情况下,在 RCP8.5 排放情景下,21 世纪的短波云辐射效应在 "糖 "状态下减弱了 0.28 W m-2,在 "花 "状态下减弱了 1.5 W m-2。与此同时,中尺度上的短波云辐射效应方差也在减小。其主要机制是,由于温室气体水平升高,反转处的长波辐射加热增强,边界层趋于稳定。这削弱了边界层中尺度环流,而边界层中尺度环流负责水汽的聚集和花 Tc 状态的形成。因此,在所考虑的情况下,中尺度上的组织放大了 Tc 云对气候变化的正反馈。由于边界层中尺度环流在 Tc 状态中广泛存在,这一机制可能会在总体上调节 Tc 对气候变化的响应。
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引用次数: 0
Effects of Horizontal Resolution on Long-Range Equatorward Radiation of Near-Inertial Internal Waves in Ocean General Circulation Models 水平分辨率对海洋大气环流模型中近惯性内波远距离赤道辐射的影响
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-09-07 DOI: 10.1029/2024MS004216
Bingrong Sun, Zhao Jing, Man Yuan, Haiyuan Yang, Lixin Wu

Wind-generated near-inertial internal waves (NIWs) are characterized by dominant long-range equatorward radiation due to the gradient of the planetary vorticity, known as the β-refraction effect. In this study, we analyze the effects of horizontal model resolution on the long-range equatorward radiation of NIWs. In a high-resolution Community Earth System Model (CESM-HR) with a 0.1° oceanic resolution, about 25% (15%) of NIW energy flux injected downward the surface boundary layer base poleward of 30°N (30°S) radiates into the lower-latitude region. This ratio decreases to about 15% (8%) in a low-resolution CESM (CESM-LR) with a 1° oceanic resolution. The higher long-range equatorward radiation efficiency in the CESM-HR than the CESM-LR is directly attributed to the faster equatorward group velocity of the NIWs of the first three vertical modes, which reflects the better representation of equatorward propagation and beta-refraction of smaller scale NIWs in the CESM-HR. The enhancement of equatorward wavenumber induced by the β-refraction is inhibited in the CESM-LR, which underrepresent the long-range equatorward radiation of NIWs. These results underscore the necessity of high-resolution ocean models in accurately simulating the spatial variabilities of NIWs and their induced turbulent diapycnal mixing in the global ocean.

风产生的近惯性内波(NIWs)的特点是由于行星涡度梯度(即β折射效应)而产生的主要长程赤道向辐射。在本研究中,我们分析了水平模式分辨率对近地天体向赤道长程辐射的影响。在海洋分辨率为 0.1°的高分辨率群落地球系统模式(CESM-HR)中,北纬 30°(南纬 30°)极向地表边界层基底向下注入的 NIW 能量通量约有 25%(15%)辐射到低纬度地区。在海洋分辨率为 1°的低分辨率 CESM(CESM-LR)中,这一比例降至约 15%(8%)。与 CESM-LR 相比,CESM-HR 的远距离赤道向辐射效率更高,这直接归因于前三个垂直模式的 NIW 更快的赤道向群速度,反映了 CESM-HR 更好地表现了较小尺度 NIW 的赤道向传播和β-折射。在 CESM-LR 中,β-折射引起的向赤道方向的波数增强受到抑制,从而未能充分反映 NIW 的长程向赤道方向辐射。这些结果强调了高分辨率海洋模式在准确模拟全球海洋中近地微波的空间变化及其诱导的湍流双向混合方面的必要性。
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引用次数: 0
An Emulator of Stratocumulus Cloud Response to Two Cloud-Controlling Factors Accounting for Internal Variability 层积云对两种云控制因素反应的模拟器,考虑内部变异性
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-08-30 DOI: 10.1029/2023MS004179
Rachel W. N. Sansom, Ken S. Carslaw, Jill S. Johnson, Lindsay Lee

Large uncertainties persist in modeling shallow, low clouds because of many interacting nonlinear processes and multiple cloud-controlling environmental factors. In addition, sharp changes in behavior occur when environmental thresholds are met. Model studies that follow a traditional approach of exploring the effects of factors “one-at-a-time” are unable to capture interactions between factors. We simulate a stratocumulus cloud based on the Second Dynamics and Chemistry of Marine Stratocumulus field study using a large-eddy simulation model coupled with a two-moment cloud microphysics scheme. The simulations are used to train a Gaussian process emulator, which we then use to visualize the relationships between two cloud-controlling factors and domain-averaged cloud properties. Only 29 model simulations were required to train the emulators, which then predicted cloud properties at thousands of new combinations of the two factors. Emulator response surfaces of cloud liquid water path and cloud fraction show two behavioral regimes, one of thin and patchy yet steady stratocumulus and one of thick, growing stratocumulus with cloud fraction near 1. Internal variability (initial-condition uncertainty) creates unrealistic “bumpy” response surfaces. However, we show that the variability causing the bumpiness can be characterized in an emulator “nugget term” that is adjusted to match the distribution of a small number of initial-condition ensemble simulations at various points on the surface, thereby allowing a smoother, deterministic response surface to be constructed. Accounting for variability allows the transition between regimes, and the joint interactions of parameters, to be visualized in a more deterministic way that has not been done before.

由于许多相互作用的非线性过程和多种云控制环境因素,浅层低云的建模仍然存在很大的不确定性。此外,当达到环境阈值时,行为会发生急剧变化。按照 "一次性 "探索各因素影响的传统方法进行的模型研究无法捕捉各因素之间的相互作用。我们在第二次海洋层积云动力学和化学实地研究的基础上,利用大涡流模拟模型和双瞬云微物理方案对层积云进行了模拟。模拟结果用于训练高斯过程模拟器,然后我们用它来直观显示两个云控制因子与域平均云属性之间的关系。训练模拟器只需要 29 次模型模拟,然后模拟器就能预测这两个因素的数千种新组合下的云特性。云液态水路径和云分数的模拟器响应面显示了两种行为模式,一种是薄而分散但稳定的层积云,另一种是厚而不断扩大的层积云,云分数接近 1。内部变率(初始条件的不确定性)造成了不切实际的 "凹凸不平 "的响应表面。不过,我们的研究表明,造成凹凸不平的变异性可以用仿真器的 "金块项 "来描述,通过调整仿真器的 "金块项",使其与表面上各点的少量初始条件集合模拟分布相匹配,从而构建出更平滑、更确定的响应表面。考虑到变异性,就能以一种更加确定的方式直观地显示不同状态之间的过渡以及参数之间的共同作用,这在以前是从未有过的。
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引用次数: 0
High-Dimensional Covariance Estimation From a Small Number of Samples 从少量样本中进行高维协方差估计
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-08-30 DOI: 10.1029/2024MS004417
David Vishny, Matthias Morzfeld, Kyle Gwirtz, Eviatar Bach, Oliver R. A. Dunbar, Daniel Hodyss

We synthesize knowledge from numerical weather prediction, inverse theory, and statistics to address the problem of estimating a high-dimensional covariance matrix from a small number of samples. This problem is fundamental in statistics, machine learning/artificial intelligence, and in modern Earth science. We create several new adaptive methods for high-dimensional covariance estimation, but one method, which we call Noise-Informed Covariance Estimation (NICE), stands out because it has three important properties: (a) NICE is conceptually simple and computationally efficient; (b) NICE guarantees symmetric positive semi-definite covariance estimates; and (c) NICE is largely tuning-free. We illustrate the use of NICE on a large set of Earth science–inspired numerical examples, including cycling data assimilation, inversion of geophysical field data, and training of feed-forward neural networks with time-averaged data from a chaotic dynamical system. Our theory, heuristics and numerical tests suggest that NICE may indeed be a viable option for high-dimensional covariance estimation in many Earth science problems.

我们综合了数值天气预报、逆理论和统计学的知识,以解决从少量样本中估计高维协方差矩阵的问题。这个问题是统计学、机器学习/人工智能和现代地球科学的基础。我们为高维协方差估计创建了几种新的自适应方法,但其中一种我们称为噪声信息协方差估计(NICE)的方法脱颖而出,因为它具有三个重要特性:(a)NICE 概念简单,计算效率高;(b)NICE 保证对称正半有限协方差估计;(c)NICE 基本上无需调整。我们在大量受地球科学启发的数值示例中说明了 NICE 的使用,包括循环数据同化、地球物理场数据反演以及利用混沌动力系统的时均数据训练前馈神经网络。我们的理论、启发式方法和数值测试表明,NICE 可能确实是许多地球科学问题中进行高维协方差估计的可行选择。
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引用次数: 0
期刊
Journal of Advances in Modeling Earth Systems
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