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Functional principal component analysis for incomplete space–time data 不完整时空数据的功能主成分分析
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-03-16 DOI: 10.1007/s10651-024-00598-7

Abstract

Environmental signals, acquired, e.g., by remote sensing, often present large gaps of missing observations in space and time. In this work, we present an innovative approach to identify the main variability patterns, in space–time data, when data may be affected by complex missing data structures. We formalize the problem in the framework of functional data analysis, proposing an innovative method of functional principal component analysis (fPCA) for incomplete space–time data. The functional nature of the proposed method permits to borrow information from measurements observed at nearby spatio-temporal locations. The resulting functional principal components are smooth fields over the considered spatio-temporal domain, and can lead to interesting insights in the spatio-temporal dynamic of the phenomenon under study. Moreover, they can be used to provide a reconstruction of the missing entries, also under severe missing data patterns. The proposed model combines a weighted rank-one approximation of the data matrix with a roughness penalty. We show that the estimation problem can be solved using a majorize–minimization approach, and provide a numerically efficient algorithm for its solution. Thanks to a discretization based on finite elements in space and B-splines in time, the proposed method can handle multidimensional spatial domains with complex shapes, such as water bodies with complicated shorelines, or curved spatial regions with complex orography. As shown by simulation studies, the proposed space–time fPCA is superior to alternative techniques for Principal Component Analysis with missing data. We further highlight the potentiality of the proposed method for environmental problems, by applying space–time fPCA to the study of the lake water surface temperature (LWST) of Lake Victoria, in Central Africa, starting from satellite measurements with large gaps. LWST is considered one of the fundamental indicators of how climate change is affecting the environment, and is recognized as an essential climate variable.

摘要 通过遥感等手段获取的环境信号,往往在空间和时间上存在大量的观测数据缺失。在这项工作中,我们提出了一种创新方法,在数据可能受到复杂的缺失数据结构影响时,识别时空数据中的主要变异模式。我们在函数数据分析的框架内正式提出了这一问题,并针对不完整的时空数据提出了一种创新的函数主成分分析(fPCA)方法。该方法的函数性质允许借用在附近时空位置观测到的测量信息。由此产生的函数主成分是所考虑的时空领域内的平滑场,可为所研究现象的时空动态提供有趣的见解。此外,在数据严重缺失的情况下,它们也可以用来重建缺失的条目。所提出的模型将数据矩阵的加权秩一近似与粗糙度惩罚相结合。我们的研究表明,估计问题可以使用大数最小化方法来解决,并提供了一种高效的数值求解算法。由于采用了基于空间有限元和时间 B 样条的离散化方法,所提出的方法可以处理形状复杂的多维空间域,如具有复杂海岸线的水体或具有复杂地形的弯曲空间区域。模拟研究表明,所提出的时空 fPCA 优于缺失数据主成分分析的其他技术。通过将时空 fPCA 应用于中非维多利亚湖湖水表面温度(LWST)的研究,我们进一步强调了所提方法在环境问题上的潜力。湖水表面温度被认为是气候变化如何影响环境的基本指标之一,也是公认的重要气候变量。
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引用次数: 0
A functional regression model for the retrospective assessment of asbestos exposure among Venetian dock workers 用于回顾性评估威尼斯码头工人石棉暴露情况的功能回归模型
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-03-15 DOI: 10.1007/s10651-024-00608-8
Paolo Girardi, Vera Comiati, Veronica Casotto, Maria Nicoletta Ballarin, Enzo Merler, Ugo Fedeli

Retrospective assessment of individual exposure in occupational settings is often based on the association of individual work histories with quantitative and semi-quantitative exposure information. In the absence of exposure information, researchers have commonly used proxy variables, but with strong assumptions and some limitations. In the present work, we estimate the time-varying exposure-risk function associated with the outcomes of interest, taking into account functional regression models and individual work periods. The work was motivated by the analysis of a cohort of dock workers occupationally exposed to asbestos in Italy. We evaluated the potential of our proposal through a series of simulations. We then compared our approach with traditional methods that use exposure proxy variables.

对职业环境中个人暴露情况的回顾性评估通常基于个人工作史与定量和半定量暴露信息的关联。在缺乏暴露信息的情况下,研究人员通常使用替代变量,但这种方法有很强的假设性和一定的局限性。在本研究中,我们考虑到功能回归模型和个人工作时间,估算了与相关结果相关的时变暴露风险函数。这项工作的灵感来自于对意大利职业暴露于石棉的码头工人队列的分析。我们通过一系列模拟评估了我们建议的潜力。然后,我们将我们的方法与使用暴露替代变量的传统方法进行了比较。
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引用次数: 0
ARPALData: an R package for retrieving and analyzing air quality and weather data from ARPA Lombardia (Italy) ARPALData:用于检索和分析来自伦巴第 ARPA(意大利)的空气质量和天气数据的 R 软件包
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-03-01 DOI: 10.1007/s10651-024-00599-6
Paolo Maranzano, Andrea Algieri

We present ARPALData, an R package that can help international users retrieve, handle, and analyze air quality and weather data in the Lombardy region (Northern Italy). The software provides a user-friendly tool that directly inquires into the platform of the regional environmental protection agency and ensures real-time updating of information using standardized syntax. The software provides data in standard statistical formats. Eventually, all measurements, metadata, and subsequent analytical tools are provided to users in English, facilitating accessibility to international and domestic users. Data are collected from the open database of the Regional Agency for Environmental Protection of Lombardy, namely ARPA Lombardia. ARPALData returns measurements at several temporal frequencies (infra-hourly to yearly) collected through air quality and weather ground monitoring networks managed by ARPA Lombardia, as well as estimates of several pollutants at the municipal level. In addition to data download functions, ARPALData provides functions to explore, describe, analyze, and graphically represent air quality and weather data. In particular, users are provided with functions to compute key descriptive statistics and input data maps, temporally aggregate measurements, detect outliers, and study missing-value (gap length) patterns. Herein, we discuss purposes, goals, and functioning of the package, and present three guided examples and case studies in which the software is used to characterize air quality and meteorology in different settings. The examples are designed to provide a step-by-step guide for accomplished analyses using the most relevant tools included in ARPALData.

我们介绍的 ARPALData 是一个 R 软件包,可帮助国际用户检索、处理和分析伦巴第大区(意大利北部)的空气质量和天气数据。该软件提供了一个用户友好型工具,可直接查询地区环保机构的平台,并确保使用标准化语法实时更新信息。该软件以标准统计格式提供数据。最后,所有测量数据、元数据和后续分析工具都以英文提供给用户,方便国际和国内用户使用。数据收集自伦巴第大区环境保护局(即 ARPA Lombardia)的开放式数据库。ARPALData 返回通过 ARPA Lombardia 管理的空气质量和天气地面监测网络收集到的多个时间频率(从每小时到每年)的测量数据,以及多个污染物的市级估计值。除了数据下载功能外,ARPALData 还提供了用于探索、描述、分析和以图形表示空气质量和天气数据的功能。特别是,用户可以使用这些功能计算关键的描述性统计数据和输入数据图、按时间汇总测量数据、检测异常值以及研究缺失值(间隙长度)模式。在此,我们将讨论该软件包的目的、目标和功能,并介绍三个指导性示例和案例研究,在这些示例和案例研究中,该软件被用于描述不同环境下的空气质量和气象特征。这些示例旨在为使用 ARPALData 中包含的最相关工具完成分析提供逐步指导。
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引用次数: 0
Space-time clustering of seismic events in Chile using ST-DBSCAN-EV algorithm 利用 ST-DBSCAN-EV 算法对智利地震事件进行时空聚类
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-27 DOI: 10.1007/s10651-023-00594-3
Orietta Nicolis, Luis Delgado, Billy Peralta, Mailiu Díaz, Marcello Chiodi

Chile is one of the most seismic countries in the world especially due to the subduction of the Nazca plate under the South America plate along the Chilean cost. Normally, the spatial distribution of seismic events tends to form spatial and temporal clusters around the main event including both precursor and aftershock events. However, it is very difficult to identify whether an event is a precursor, a main event or an aftershock. In the literature, only some large earthquakes are well described but it does not exist an automatic method to classify them. In this work, we propose a new density based clustering method, called ST-DBSCAN-EV (Space-time DBSCAN with Epsilon Variable), which allows the Epsilon parameter (the radius) to vary depending on the density of the points. The results of the ST-DBSCAN-EV are validated on three important earthquakes with magnitude greater than 8.0 Mw occurred in Chile in the last 20 years, by carrying out a series of experiments considering different combinations of parameters. A comparison with some traditional clustering techniques such as the DBSCAN, ST-DBSCAN, and the K-means has been implemented for assessing the performance of the proposed method. Almost in all cases ST-DBSCAN-EV outperformed traditional ones by providing an F1-Score metric higher than 0.8. Finally, the results of classification are compared with a declustering method.

智利是世界上地震频发的国家之一,特别是由于纳斯卡板块沿智利海岸向南美板块俯冲。通常情况下,地震事件的空间分布往往围绕主事件形成时空集群,包括前震和余震事件。然而,要确定一个地震事件是前兆、主震还是余震非常困难。在文献中,只有一些大地震得到了很好的描述,但却没有一种自动方法来对它们进行分类。在这项工作中,我们提出了一种新的基于密度的聚类方法,称为 ST-DBSCAN-EV(带有 Epsilon 变量的时空 DBSCAN),它允许 Epsilon 参数(半径)根据点的密度而变化。通过对不同参数组合进行一系列实验,ST-DBSCAN-EV 的结果在过去 20 年智利发生的 3 次震级大于 8.0 Mw 的重要地震中得到了验证。为了评估所提方法的性能,还与一些传统聚类技术(如 DBSCAN、ST-DBSCAN 和 K-means)进行了比较。几乎在所有情况下,ST-DBSCAN-EV 的 F1-Score 指标都高于 0.8,表现优于传统方法。最后,将分类结果与一种去聚类方法进行了比较。
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引用次数: 0
Air pollution in Venice and in its mainland: a first assessment of air quality control policies 威尼斯及其大陆的空气污染:对空气质量控制政策的初步评估
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-26 DOI: 10.1007/s10651-024-00602-0
Ilaria Prosdocimi, Mauro Masiol, Giuseppe Tattara

This article provides, for the first time, direct information on the levels and trends of nitrogen oxides and particulate matter measured by a recently installed air-quality monitoring station in the city of Venice (Italy). High levels of air pollution affect human health and built cultural heritage with corrosion, loss of material due to chemical attack, and soiling: this is particularly dangerous in a World Heritage city like Venice. The pollution levels measured in the historical city are compared to those of a background station in the city of Venice and of urban and background stations in the mainland, also investigating climate factors which might affect pollution in all stations. The first results of the investigation are that the NO2, as well as the PM10, annual average levels in Venice definitely exceeded the limit values set by EU directives. This is an astonishing and unexpected result in a car free city. To contrast the poor air quality, the Venice Municipality decreed in spring 2019 to limit traffic in one of the most overcrowded Venice canals. To investigate the usefulness of the implemented policy we performed a comparative study in which Generalized Additive Models are employed to model the potential reduction in measured nitrogen dioxide in the urban station as compared to the background station. This is done for stations in the historical city of Venice and in the mainland, to give a stronger indication of whether detected changes can be attributable to the traffic policy and no other exogenous factors. The policy is found to have a minor impact in the reduction of measured nitrogen dioxide.

本文首次提供了有关意大利威尼斯市最近安装的空气质量监测站测量到的氮氧化物和颗粒物的水平和趋势的直接信息。高浓度的空气污染会对人类健康和文化遗产造成影响,如腐蚀、化学侵蚀造成的材料损失和污损:这对威尼斯这样的世界遗产城市尤为危险。在这座历史名城测量到的污染水平与威尼斯市内的一个背景站以及大陆上的城市站和背景站的污染水平进行了比较,同时还调查了可能影响所有站污染水平的气候因素。调查的第一项结果是,威尼斯的二氧化氮和可吸入颗粒物的年平均水平肯定超过了欧盟指令规定的限值。对于一个没有汽车的城市来说,这是一个出乎意料的惊人结果。为了与糟糕的空气质量形成对比,威尼斯市政府于 2019 年春季颁布法令,限制威尼斯最拥挤的运河之一的交通流量。为了研究已实施政策的实用性,我们进行了一项比较研究,其中采用了广义相加模型来模拟城市站点与背景站点相比测量到的二氧化氮的潜在减少量。这种方法适用于历史名城威尼斯和大陆的站点,以便更清楚地说明检测到的变化是否可归因于交通政策而非其他外在因素。结果发现,交通政策对减少二氧化氮的测量值影响不大。
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引用次数: 0
Assessment of extreme records in environmental data through the study of stochastic orders for scale mixtures of skew normal vectors 通过研究倾斜正矢量尺度混合物的随机阶数评估环境数据中的极端记录
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-18 DOI: 10.1007/s10651-024-00600-2
Jorge M Arevalillo, Jorge Navarro

Scale mixtures of skew normal distributions are flexible models well-suited to handle departures from multivariate normality. This paper is concerned with the stochastic comparison of vectors that belong to the family of scale mixtures of skew normal distributions. The paper revisits some of their properties with a proposal that allows to carry out tail weight stochastic comparisons. The connections of the proposed stochastic orders with the non-normality parameters of the multivariate model are also studied for some popular distributions within the family. The role played by these parameters to tackle the non-normality of multivariate data is enhanced as a result. This work is motivated by the analysis of multivariate data in environmental studies which usually collect maximum or minimum values exhibiting departures from normality. The implications of our theoretical results in addressing the stochastic comparison of extreme environmental records is illustrated with an application to a real data study on maximum temperatures in the Iberian Peninsula throughout the last century. The resulting findings may elucidate whether extreme temperatures are evolving for such a long period.

倾斜正态分布的尺度混合物是一种灵活的模型,非常适合处理偏离多元正态性的情况。本文关注属于倾斜正态分布尺度混合物族的向量的随机比较。本文重新审视了它们的一些特性,并提出了一种可以进行尾权随机比较的建议。本文还研究了所提出的随机阶次与多元模型非正态性参数之间的联系,以及该族中一些常用分布的非正态性参数。这些参数在处理多元数据的非正态性方面所起的作用因此得到了加强。这项工作的灵感来自于环境研究中的多元数据分析,这些数据通常会收集到偏离正态性的最大值或最小值。通过对伊比利亚半岛上个世纪最高气温的实际数据研究,说明了我们的理论结果在处理极端环境记录的随机比较方面的意义。由此得出的结论可以阐明极端气温是否在如此长的时间内不断演变。
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引用次数: 0
Robust variable selection with exponential squared loss for the partially linear varying coefficient spatial autoregressive model 部分线性变化系数空间自回归模型的指数平方损失稳健变量选择
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-13 DOI: 10.1007/s10651-024-00603-z

Abstract

The partially linear varying coefficient spatial autoregressive model is a semi-parametric spatial autoregressive model in which the coefficients of some explanatory variables are variable, while the coefficients of the remaining explanatory variables are constant. For the nonparametric part, a local linear smoothing method is used to estimate the vector of coefficient functions in the model, and, to investigate its variable selection problem, this paper proposes a penalized robust regression estimation based on exponential squared loss, which can estimate the parameters while selecting important explanatory variables. A unique solution algorithm is composed using the block coordinate descent (BCD) algorithm and the concave-convex process (CCCP). Robustness of the proposed variable selection method is demonstrated by numerical simulations and illustrated by some housing data from Airbnb.

摘要 部分线性变化系数空间自回归模型是一种半参数空间自回归模型,其中一些解释变量的系数是可变的,而其余解释变量的系数是常数。对于非参数部分,采用局部线性平滑法估计模型中的系数函数向量,为了研究其变量选择问题,本文提出了一种基于指数平方损失的惩罚性稳健回归估计,可以在估计参数的同时选择重要的解释变量。利用块坐标下降(BCD)算法和凹凸过程(CCCP)组成了一种独特的求解算法。通过数值模拟证明了所提出的变量选择方法的稳健性,并用 Airbnb 的一些住房数据进行了说明。
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引用次数: 0
Mutual interference as a factor for the cooccurrence and population dynamics of insect predator and mosquito prey system: validating through models 相互干扰是昆虫捕食者和蚊子猎物系统共生和种群动态的一个因素:通过模型验证
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-13 DOI: 10.1007/s10651-024-00597-8
Sabarni Chakraborty, Sampa Banerjee, Shreya Brahma, Nabaneeta Saha, Goutam K. Saha, Gautam Aditya

Several models have been proposed as an extension to the classical Holling’s disc equation to evaluate the predator and prey interactions and their applied aspect in biological control and population regulation of the target organisms. In a one prey and two predator dynamic system with mutual interference (m) as a quadratic parameter of predator density, an evaluation was made to the resultant impact on the prey. A simulation was carried out to see the extinction of prey and the stability of the system at origin, i.e., when all the three species are extinct. We assumed the data obtained for the interactions between the mosquito and the water bug predators that are common in the freshwater wetlands and involved in the population regulation. Despite the benefits to prey population due to interference competition, the expected extinction of prey is still observed. With varying magnitudes of m the declining growth curve of prey population, shifted. The equation proposed was also compared with Crowley–Martin functional response, and considerable differences were observed in selected instances when compared for the growth rate of the predators, in a species-specific manner. The stability of the system was deduced with eigenvalues of Jacobian matrix at origin to prove the extinction is stable. Our assessment supports the possible cooccurrence of the predators and mosquito prey in the wetlands with the mutual interference being one of the major factors.

作为经典霍林圆盘方程的扩展,已经提出了几个模型来评估捕食者和猎物之间的相互作用及其在生物控制和目标生物种群调节中的应用方面。在以相互干扰(m)为捕食者密度二次参数的一个猎物和两个捕食者动态系统中,对猎物受到的影响进行了评估。我们进行了模拟,以了解猎物的灭绝情况和系统在起源时(即所有三个物种都灭绝时)的稳定性。我们假定了蚊子与淡水湿地中常见的、参与种群调节的水虫捕食者之间相互作用的数据。尽管干扰竞争给猎物种群带来了好处,但仍然观察到了预期的猎物灭绝。随着 m 的大小不同,猎物种群的下降增长曲线也发生了变化。所提出的方程还与 Crowley-Martin 功能响应进行了比较,发现在捕食者增长率的某些特定情况下,两者之间存在相当大的差异。利用雅各布矩阵在原点的特征值推导出了系统的稳定性,以证明灭绝是稳定的。我们的评估支持湿地中捕食者和蚊子猎物可能共存,相互干扰是主要因素之一。
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引用次数: 0
Severe convective storms’ reproduction: empirical analysis from the marked self-exciting point processes point of view 强对流风暴的再现:从标记自激点过程的角度进行实证分析
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-10 DOI: 10.1007/s10651-023-00593-4

Abstract

The paper focuses on the evaluation of hailstorms’ and thunderstorms winds’ events in the United States of America, in the period from 1996 to 2022, under the marked spatio-temporal self-exciting point processes point of view. The aim of the present article is the assessment and description of the spatio-temporal spontaneous and reproducing activity of severe hailstorms’ and thunderstorms winds’ processes. The present application shows how the spatio-temporal pattern is well-fitted and clearly explainable, according to the flexible semi-parametric ETAS model fitting.

摘要 本文主要从明显的时空自激点过程角度,对 1996 年至 2022 年期间美利坚合众国的冰雹和雷暴风事件进行评估。本文旨在评估和描述严重冰雹和雷暴风过程的时空自发和再现活动。本文的应用表明,根据灵活的半参数 ETAS 模型拟合,时空模式可以得到很好的拟合和清晰的解释。
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引用次数: 0
A direct approach of causal detection for agriculture related variables via spatial and temporal non-parametric analysis 通过时空非参数分析直接检测农业相关变量因果关系的方法
IF 3.8 4区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES Pub Date : 2024-02-06 DOI: 10.1007/s10651-023-00595-2
Ray-Ming Chen

Understanding the causality between biological variables or their related variables is beneficial in environmental or biological policy making. The usual approaches revealing the relations between them are traditional ANOVA or regression models. These models normally resort to a plethora of assumptions regarding the population, the covariance or the error distributions. Checking the validity of these assumptions might in turn rely on other batches of assumptions. This shall cause a huge burden on the interpretation and calculation. Even if all the assumptions are taken for granted or validly checked, the traditional approaches reveal more on the correlation or association properties and less on the causality, because of the fundamental reasoning is based on distance functions or the least squared methods, which are symmetric indicators. We devise a method which directly measures the causality between vectors, which in turn measures the causal relation between agriculture-related variables. The measure takes monotonicity, temporal properties, asymmetry and additivity into consideration. It is then implemented by a set of simulated data and two sets of agriculture-related data. This method could validate or invalidate the existence of positive or negative causal relations between agriculture-related variables. In the end, we analyze the advantages and disadvantages of this method.

了解生物变量或其相关变量之间的因果关系有利于环境或生物政策的制定。揭示它们之间关系的通常方法是传统的方差分析或回归模型。这些模型通常需要对种群、协方差或误差分布进行大量假设。检查这些假设的有效性可能反过来又依赖于其他成批的假设。这将给解释和计算带来巨大负担。即使所有假设都被认为是理所当然的或经过有效检查的,传统方法也更多地揭示相关性或关联性,而较少揭示因果关系,因为其基本推理是基于距离函数或最小二乘法,这些都是对称指标。我们设计了一种方法,可以直接测量向量之间的因果关系,进而测量农业相关变量之间的因果关系。该测量方法考虑了单调性、时间特性、非对称性和相加性。然后通过一组模拟数据和两组农业相关数据来实现。这种方法可以验证或否定农业相关变量之间存在正或负的因果关系。最后,我们分析了这种方法的优缺点。
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引用次数: 0
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Environmental and Ecological Statistics
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