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Skew Gaussian Markov Random Fields Under Decomposable Graphs 可分解图下的偏高斯马尔可夫随机场
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-09-10 DOI: 10.1002/env.70039
Hamid Zareifard, Majid Jafari Khaledi

Conditional independence and sparsity are pivotal concepts in parsimonious statistical models such as Markov random fields. Statistical modeling in this subject has been limited to the Gaussianity assumption so far, partly due to the difficulty in preserving the Markov property. As the data often exhibit non-normality, we applied a multivariate closed skew normal distribution to introduce a novel skew Gaussian Markov random field with respect to a decomposable graph. Subsequently, after investigating the main probabilistic features of the introduced random process, we specifically focused on modeling autocorrelated data online, and thereafter, an intrinsic version of the skew Gaussian Markov random field was presented. We applied Markov chain Monte Carlo algorithms for Bayesian inference. The identifiability of the parameters was investigated using a simulation study. Finally, the usefulness of our methodology was demonstrated by analyzing two datasets.

条件独立性和稀疏性是马尔可夫随机场等简洁统计模型中的关键概念。到目前为止,这个主题的统计建模一直局限于高斯假设,部分原因是难以保持马尔可夫性质。由于数据经常表现出非正态性,我们应用多元闭偏态正态分布来引入一个关于可分解图的新的偏态高斯马尔可夫随机场。随后,在研究了引入的随机过程的主要概率特征之后,我们特别关注了在线自相关数据的建模,并随后提出了偏高斯马尔可夫随机场的内在版本。我们将马尔可夫链蒙特卡罗算法应用于贝叶斯推理。通过仿真研究对参数的可辨识性进行了研究。最后,通过分析两个数据集证明了我们方法的有效性。
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引用次数: 0
Using Expected Improvement of Gradients for Robotic Exploration of Ocean Salinity Fronts 基于期望改进梯度的海洋盐度锋机器人探测
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-09-07 DOI: 10.1002/env.70037
André Julius Hovd Olaisen, Yaolin Ge, Jo Eidsvik

We develop, test, and deploy a sampling design strategy that enables an autonomous underwater vehicle (AUV) to explore and detect large gradients in spatio-temporal random fields. Our approach models the field using a Gaussian random field, which means that the directional derivatives of the field are Gaussian distributed. Leveraging fast matrix factorization and data thinning techniques, we obtain real-time data assimilation and design evaluation onboard the AUV. At each stage in the dynamic framework, possible design transects are formed based on a spider-leg search space pattern, and the agent chooses the optimal design for the next stage. The design criterion used is based on expected improvement (EI) in directional derivatives. This means that we compute the expected value of observing a larger derivative than what has been seen already. EI is among the most popular acquisition functions in Bayesian optimization. To evaluate the effectiveness of this approach, we conduct a simulation study comparing EI with alternative selection criteria. Our algorithm was embedded on an AUV which was deployed for characterizing a river plume frontal system in a Norwegian fjord. Using EI in the salinity field derivatives, the vehicle successfully sampled the fjord for approximately 2 h without human intervention in two separate field experiments.

我们开发、测试和部署了一种采样设计策略,使自主水下航行器(AUV)能够在时空随机场中探索和检测大梯度。我们的方法使用高斯随机场来模拟场,这意味着场的方向导数是高斯分布的。利用快速矩阵分解和数据细化技术,我们在AUV上获得实时数据同化和设计评估。在动态框架的每个阶段,基于蜘蛛腿搜索空间模式形成可能的设计断面,智能体选择下一阶段的最优设计。所使用的设计准则是基于方向导数的期望改进(EI)。这意味着我们计算观察到的导数比已经看到的更大的期望值。EI是贝叶斯优化中最常用的获取函数之一。为了评估这种方法的有效性,我们进行了一项模拟研究,将EI与其他选择标准进行比较。我们的算法被嵌入到一个水下航行器中,该水下航行器用于表征挪威峡湾的河流羽流锋面系统。在盐度场导数中使用EI,在两次单独的现场实验中,该车辆在没有人为干预的情况下成功地对峡湾进行了大约2小时的采样。
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引用次数: 0
Correction to “Estimation of Impact Ranges for Functional Valued Predictors” 修正“估计函数值预测因子的影响范围”
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-09-03 DOI: 10.1002/env.70040

Samuels, R., N. Carmon, B. Konomi, J. Hobbs, A. Braverman, D. Young, and J. J. Song. 2025. “Estimation of Impact Ranges for Functional Valued Predictors.” Environmetrics 36, no. 5: e70024. https://doi.org/10.1002/env.70024.

In the version of this article initially published, the name of the 3rd author was spelled incorrectly. The correct name is Bledar Konomi, and the spelling error has been updated in the original.

We apologize for this error.

塞缪尔,R., N. Carmon, B. Konomi, J. Hobbs, A. Braverman, D. Young和J. J. Song. 2025。函数值预测器影响范围的估计。36, no。5: e70024。https://doi.org/10.1002/env.70024.In这篇文章最初发布的版本,第三作者的名字拼写错误。正确的名字是Bledar Konomi,拼写错误已在原文中更新。我们为这个错误道歉。
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引用次数: 0
Spatial Modeling of Extremes and an Angular Component 极值空间建模和角分量
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-09-02 DOI: 10.1002/env.70025
G. Tamagny, M. Ribatet

Many environmental processes, such as rainfall, wind, or snowfall, are inherently spatial, and the modeling of extremes has to take into account that feature. In addition, such processes may be associated with a nonextremal feature, for example, wind speed and direction or extreme snowfall and time of occurrence in a year. This article proposes a Bayesian hierarchical model with a conditional independence assumption that aims at modeling simultaneously spatial extremes and an angular component. The proposed model relies on the extreme value theory as well as recent developments for handling directional statistics over a continuous domain. Working within a Bayesian setting, a Gibbs sampler is introduced whose performances are analysed through a simulation study. The paper ends with an application to extreme wind speed in France. Results show that extreme wind events in France are mainly coming from the West, apart from the Mediterranean part of France and the Alps.

许多环境过程,如降雨、风或降雪,本质上是空间的,极端情况的建模必须考虑到这一特征。此外,这些过程可能与非极端特征有关,例如,风速和风向或极端降雪和一年中发生的时间。本文提出了一种贝叶斯层次模型,该模型具有条件独立性假设,旨在同时建模空间极值和角度分量。所提出的模型依赖于极值理论以及在连续域上处理定向统计的最新发展。介绍了一种工作在贝叶斯环境下的吉布斯采样器,并对其性能进行了仿真分析。论文最后以法国极端风速的应用作为结束。结果表明,法国的极端风事件主要来自西部,除了法国的地中海部分和阿尔卑斯山。
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引用次数: 0
Causal Discovery in Multivariate Extremes: A Study of Swiss Hydrological Catchments 多元极端的因果发现:瑞士水文集水区的研究
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-08-25 DOI: 10.1002/env.70034
L. Mhalla, V. Chavez-Demoulin, P. Naveau

Causally-induced asymmetry reflects the principle that an event qualifies as a cause only if its absence would prevent the occurrence of the effect. Thus, uncovering causal effects becomes a matter of comparing a well-defined score in both directions. Motivated by studying causal effects at extreme levels of a multivariate random vector, we propose to construct a model-agnostic causal score relying solely on the assumption of the existence of a max-domain of attraction. Based on a representation of a generalised Pareto random vector, we construct the causal score as the Wasserstein distance between the margins and a well-specified random variable. The proposed methodology is illustrated on a simulated dataset of different characteristics of catchments in Switzerland: discharge, precipitation, snowmelt, temperature, and evapotranspiration.

因果诱导的不对称反映了一个原则,即一个事件只有在它的缺失会阻止结果的发生时才有资格成为原因。因此,揭示因果关系就变成了在两个方向上比较一个明确的分数的问题。在研究多元随机向量极端水平的因果效应的激励下,我们建议仅依赖于存在最大吸引力域的假设来构建一个模型不可知的因果评分。基于广义Pareto随机向量的表示,我们将因果分数构建为边际与指定的随机变量之间的Wasserstein距离。所提出的方法在瑞士集水区不同特征的模拟数据集上进行了说明:流量、降水、融雪、温度和蒸散发。
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引用次数: 0
Estimating Extreme Wave Surges in the Presence of Missing Data 在缺少数据的情况下估计极端浪涌
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-08-17 DOI: 10.1002/env.70036
James H. McVittie, Orla A. Murphy

The block maxima approach, which consists of dividing a series of observations into equal-sized blocks to extract the block maxima, is commonly used for identifying and modeling extreme events using the generalized extreme value (GEV) distribution. In the analysis of coastal wave surge levels, the underlying data that generate the block maxima typically have missing observations. Consequently, the observed block maxima may not correspond to the true block maxima, yielding biased estimates of the GEV distribution parameters. Various parametric modeling procedures are proposed to account for the presence of missing observations under a block maxima framework. The performance of these estimators is compared through an extensive simulation study and illustrated by an analysis of extreme wave surges in Atlantic Canada.

块极大值法是将一系列观测值划分为大小相等的块来提取块极大值的方法,通常用于利用广义极值(GEV)分布识别和建模极端事件。在对海岸浪涌水平的分析中,产生块极大值的基础数据通常缺少观测值。因此,观测到的区块最大值可能与真实的区块最大值不对应,从而产生对GEV分布参数的有偏差估计。提出了各种参数化建模程序,以解释在块极大值框架下缺失观测值的存在。通过广泛的模拟研究比较了这些估计器的性能,并通过对加拿大大西洋极端浪涌的分析进行了说明。
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引用次数: 0
Combined Quantile Forecasting for High-Dimensional Non-Gaussian Data 高维非高斯数据的组合分位数预测
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-08-14 DOI: 10.1002/env.70035
Seeun Park, Hee-Seok Oh, Yaeji Lim

This study proposes a novel method for forecasting a scalar variable based on high-dimensional predictors that is applicable to various data distributions. In the literature, one of the popular approaches for forecasting with many predictors is to use factor models. However, these traditional methods are ineffective when the data exhibit non-Gaussian characteristics such as skewness or heavy tails. In this study, we newly utilize a quantile factor model to extract quantile factors that describe specific quantiles of the data beyond the mean factor. We then build a quantile-based forecast model using the estimated quantile factors at different quantile levels as predictors. Finally, the predicted values at various quantile levels are combined into a single forecast as a weighted average with weights determined by a Markov chain based on past trends of the target variable. The main idea of the proposed method is to effectively incorporate a quantile approach into a forecasting method to handle non-Gaussian characteristics. The performance of the proposed method is evaluated through a simulation study and real data analysis of PM2.5$$ {mathrm{PM}}_{2.5} $$ data in South Korea, where the proposed method outperforms other existing methods in most cases.

本文提出了一种基于高维预测量的标量变量预测新方法,该方法适用于各种数据分布。在文献中,最流行的预测方法之一是使用因子模型。然而,当数据表现出非高斯特征(如偏态或重尾)时,这些传统方法是无效的。在这项研究中,我们新的利用分位数因子模型来提取分位数因子,这些分位数因子描述了超出平均因子的数据的特定分位数。然后,我们使用不同分位数水平的估计分位数因子作为预测因子,构建了基于分位数的预测模型。最后,将各个分位数水平的预测值组合成一个单一的预测,作为加权平均值,其权重由基于目标变量过去趋势的马尔可夫链确定。该方法的主要思想是将分位数方法有效地结合到处理非高斯特征的预测方法中。通过模拟研究和PM 2的实际数据分析,对该方法的性能进行了评价。5 $$ {mathrm{PM}}_{2.5} $$韩国的数据,在大多数情况下,所提出的方法优于其他现有方法。
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引用次数: 0
A Multivariate Space-Time Dynamic Model for Characterizing the Atmospheric Impacts Following the Mt. Pinatubo Eruption 表征皮纳图博火山喷发后大气影响的多元时空动态模型
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-08-12 DOI: 10.1002/env.70030
Robert C. Garrett, Lyndsay Shand, Gabriel Huerta

The June 1991 Mt. Pinatubo eruption resulted in a massive increase of sulfate aerosols in the atmosphere, absorbing radiation and leading to global changes in surface and stratospheric temperatures. A volcanic eruption of this magnitude serves as a natural analog for stratospheric aerosol injection, a proposed solar radiation modification method to combat a warming climate. The impacts of such an event are multifaceted and region-specific. Our goal is to characterize the multivariate and dynamic nature of the atmospheric impacts following the Mt. Pinatubo eruption. We developed a multivariate space-time dynamic linear model to understand the full extent of the spatially- and temporally-varying impacts. Specifically, spatial variation is modeled using a flexible set of basis functions for which the basis coefficients are allowed to vary in time through a vector autoregressive (VAR) structure. This novel model is cast in a Dynamic Linear Model (DLM) framework and estimated via a customized MCMC approach. We demonstrate how the model quantifies the relationships between key atmospheric parameters prior to and following the Mt. Pinatubo eruption with reanalysis data from MERRA-2 and highlight when such a model is advantageous over univariate models.

1991年6月的皮纳图博火山喷发导致大气中硫酸盐气溶胶大量增加,吸收辐射并导致地表和平流层温度的全球变化。这种规模的火山喷发是平流层气溶胶注入的自然模拟,这是一种建议的太阳辐射调节方法,以对抗气候变暖。这一事件的影响是多方面的,具有区域特殊性。我们的目标是描述皮纳图博火山喷发后大气影响的多变量和动态性质。我们开发了一个多元时空动态线性模型,以了解空间和时间变化影响的全部程度。具体来说,空间变化是使用一组灵活的基函数来建模的,这些基函数允许基系数通过向量自回归(VAR)结构随时间变化。该模型采用动态线性模型(DLM)框架,并通过定制的MCMC方法进行估计。我们用MERRA-2的再分析数据演示了该模型如何量化皮纳图博火山喷发前后关键大气参数之间的关系,并强调了这种模型比单变量模型更有利的地方。
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引用次数: 0
A Spatial Hierarchical PGEV Model With Temporal Effects for Enhancing Extreme Value Analysis 一种具有时间效应的空间层次PGEV模型增强极值分析
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-08-05 DOI: 10.1002/env.70031
Tzu-Han Peng, Cheng-Ching Lin, Nan-Jung Hsu, Chun-Shu Chen

The peaks over threshold generalized extreme value (PGEV) model by Olafsdottir et al. (2021) is a statistical framework that combines the generalized extreme value (GEV) distribution with the peaks over threshold (PoT) approach, commonly utilized in extreme value analysis. This model effectively fits block maximum data, allowing for the estimation of trends in their intensity and frequency. Incorporating spatial and temporal effects into the PGEV model is crucial when analyzing climate and environmental datasets. We propose a novel spatial hierarchical PGEV model with temporal effects that captures spatial information via a latent Gaussian process applied to the PGEV parameters and integrates time covariates to account for temporal effects. To enhance computational efficiency, we employ the Laplace approximation method as an effective alternative to the traditional Markov Chain Monte Carlo (MCMC) parameter estimation techniques. We demonstrate the efficacy of our proposed methodology through extensive simulation studies covering various scenarios. Additionally, we illustrate the practical application of our model by analyzing rainfall data from Taiwan. Our findings highlight the model's potential for robust extreme value analysis in the context of climate research.

Olafsdottir等人(2021)提出的峰值超过阈值广义极值(PGEV)模型是一种将广义极值(GEV)分布与峰值超过阈值(PoT)方法相结合的统计框架,该方法通常用于极值分析。该模型有效地拟合块最大数据,允许估计其强度和频率的趋势。在分析气候和环境数据集时,将时空效应纳入PGEV模式至关重要。我们提出了一种新的具有时间效应的空间分层PGEV模型,该模型通过应用于PGEV参数的潜在高斯过程捕获空间信息,并集成时间协变量来解释时间效应。为了提高计算效率,我们采用拉普拉斯近似方法作为传统马尔可夫链蒙特卡罗(MCMC)参数估计技术的有效替代方法。我们通过涵盖各种场景的广泛模拟研究证明了我们提出的方法的有效性。此外,我们以台湾地区的降雨资料为例,说明模型的实际应用。我们的发现突出了该模型在气候研究背景下进行稳健极值分析的潜力。
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引用次数: 0
Analyzing Inter-Hemispheric Climate Change Asymmetries With a Cointegrated Vector Autoregression 用协整向量自回归分析半球间气候变化不对称性
IF 1.7 3区 环境科学与生态学 Q4 ENVIRONMENTAL SCIENCES Pub Date : 2025-08-04 DOI: 10.1002/env.70026
Graziano Moramarco

We study the heterogeneity in climate change patterns between hemispheres using a cointegrated vector autoregression (CVAR) derived from an energy balance model. We provide new estimates of the responses of hemispheric climate conditions to shocks in radiative forcing, indicating stronger responses of surface temperature in the Northern than in the Southern Hemisphere, and similar responses of ocean heat content. The difference in equilibrium climate sensitivity between hemispheres is estimated to be around 1.2°C and statistically significant. We also use the model to make projections of the inter-hemispheric difference in temperature anomalies, conditional on the scenarios of forcing considered by the Intergovernmental Panel on Climate Change. The projections range from 0.5°C to 2.1°C in 2100, depending on the scenario. Stochastic forecasts based on the estimated CVAR model are used to assess the probability of alternative scenarios. Possible economic implications of asymmetries are discussed.

我们利用来自能量平衡模型的协整向量自回归(CVAR)研究了半球间气候变化模式的异质性。我们提供了半球气候条件对辐射强迫冲击响应的新估计,表明北半球表面温度的响应强于南半球,海洋热含量的响应也类似。半球间平衡气候敏感性的差异估计约为1.2°C,具有统计学意义。我们还利用该模型,以政府间气候变化专门委员会(ipcc)考虑的强迫情景为条件,对半球间温度异常差异进行预测。根据不同的情景,2100年的预估范围为0.5°C至2.1°C。基于估计CVAR模型的随机预测用于评估备选方案的概率。讨论了不对称可能带来的经济影响。
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引用次数: 0
期刊
Environmetrics
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