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Applying different methods to model dry and wet spells at daily scale in a large range of rainfall regimes across Europe 应用不同的方法,在欧洲大范围降雨系统中建立日尺度的干潮和湿潮模型
Q1 Mathematics Pub Date : 2024-02-03 DOI: 10.5194/ascmo-10-51-2024
G. Baiamonte, C. Agnese, C. Cammalleri, Elvira Di Nardo, Stefano Ferraris, Tommaso Martini
Abstract. The modeling of the occurrence of a rainfall dry spell and wet spell (ds and ws, respectively) can be jointly conveyed using interarrival times (its). While the modeling has the advantage of requiring a single fitting for the description of all rainfall time characteristics (including wet and dry chains, an extension of the concept of spells), the assumption of the independence and identical distribution of the renewal times it implicitly imposes a memoryless property on the derived ws, which may not be true in some cases. In this study, two different methods for the modeling of rainfall time characteristics at the station scale have been applied: (i) a direct method (DM) that fits the discrete Lerch distribution to it records and that then derives ws and ds (as well as the corresponding chains) from the it distribution and (ii) an indirect method (IM) that fits the Lerch distribution to the ws and ds records separately, relaxing the assumptions of the renewal process. The results of this application over six stations in Europe, characterized by a wide range of rainfall regimes, highlight how the geometric distribution does not always reasonably reproduce the ws frequencies, even when its are modeled well by the Lerch distribution. Improved performances are obtained with the IM thanks to the relaxation of the assumption of the independence and identical distribution of the renewal times. A further improvement of the fittings is obtained when the datasets are separated into two periods, suggesting that the inferences may benefit from accounting for the local seasonality.
摘要降雨干咒语和湿咒语(分别为 ds 和 ws)的发生模型可以用到达时间(interarrival times,简称 its)来共同表达。这种建模方法的优点是只需一次拟合就能描述所有降雨时间特征(包括干湿链,即 "骤雨 "概念的延伸),但由于假设更新时间具有独立性且分布相同,这就隐含地将无记忆属性强加给了推导出的 ws,而这在某些情况下可能并不真实。本研究采用了两种不同的方法对站点尺度上的降雨时间特征进行建模:(i) 直接法(DM),即对 it 记录拟合离散勒奇分布,然后从 it 分布推导出 ws 和 ds(以及相应的链);(ii) 间接法(IM),即对 ws 和 ds 记录分别拟合勒奇分布,放宽更新过程的假设。欧洲六个站点的降雨特征各不相同,应用结果表明,几何分布并不总能合理地再现 ws 频率,即使用勒奇分布对其进行了很好的建模。由于放宽了更新时间的独立性和相同分布的假设,IM 的性能得到了改善。当数据集被分为两个时期时,拟合效果得到了进一步改善,这表明考虑局部季节性可能对推断有所帮助。
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引用次数: 0
Spatial patterns and indices for heat waves and droughts over Europe using a decomposition of extremal dependency 利用极端依赖性分解欧洲热浪和干旱的空间模式和指数
Q1 Mathematics Pub Date : 2024-01-22 DOI: 10.5194/ascmo-10-29-2024
Svenja Szemkus, Petra Friederichs
Abstract. We present a method for the analysis and compact description of large-scale multivariate weather extremes. Spatial patterns of extreme events are identified using the tail pairwise dependence matrix (TPDM) proposed by Cooley and Thibaud (2019). We also introduce the cross-TPDM to identify patterns of common extremes in two variables. An extremal pattern index (EPI) is developed to provide a pattern-based aggregation of temperature. A heat wave definition based on EPI is able to detect the most important heat waves over Europe. As an extension for considering simultaneous extremes in two variables, we propose the threshold-based EPI (TEPI) that captures the compound character of spatial extremes. We investigate daily temperature maxima and precipitation deficits at different accumulation times and find evidence that preceding precipitation deficits have a significant influence on the development of heat waves and that heat waves often co-occur with short-term drought conditions. We exemplarily show for the European heat waves of 2003 and 2010 that TEPI is suitable for describing the large-scale compound character of heat waves.
摘要我们提出了一种分析和紧凑描述大尺度多变量极端天气的方法。利用库利和蒂博(2019)提出的尾部成对依赖矩阵(TPDM)来识别极端事件的空间模式。我们还引入了交叉 TPDM,以识别两个变量中共同的极端事件模式。我们开发了极端模式指数(EPI),以提供基于模式的气温聚合。基于 EPI 的热浪定义能够检测出欧洲最重要的热浪。作为考虑两个变量中同时出现的极端事件的扩展,我们提出了基于阈值的极端模式指数(TEPI),该指数能够捕捉空间极端事件的复合特征。我们研究了不同累积时间的日最高气温和降水不足,发现有证据表明之前的降水不足对热浪的发展有重大影响,而且热浪往往与短期干旱状况同时出现。我们以 2003 年和 2010 年的欧洲热浪为例,说明 TEPI 适合描述热浪的大尺度复合特征。
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引用次数: 1
Comparison of climate time series – Part 5: Multivariate annual cycles 气候时间序列比较--第 5 部分:多元年度周期
Q1 Mathematics Pub Date : 2024-01-16 DOI: 10.5194/ascmo-10-1-2024
T. DelSole, M. Tippett
Abstract. This paper develops a method for determining whether two vector time series originate from a common stochastic process. The stochastic process considered incorporates both serial correlations and multivariate annual cycles. Specifically, the process is modeled as a vector autoregressive model with periodic forcing, referred to as a VARX model (where X stands for exogenous variables). The hypothesis that two VARX models share the same parameters is tested using the likelihood ratio method. The resulting test can be further decomposed into a series of tests to assess whether disparities in the VARX models stem from differences in noise parameters, autoregressive parameters, or annual cycle parameters. A comprehensive procedure for compressing discrepancies between VARX models into a minimal number of components is developed based on discriminant analysis. Using this method, the realism of climate model simulations of monthly mean North Atlantic sea surface temperatures is assessed. As expected, different simulations from the same climate model cannot be distinguished stochastically. Similarly, observations from different periods cannot be distinguished. However, every climate model differs stochastically from observations. Furthermore, each climate model differs stochastically from every other model, except when they originate from the same center. In essence, each climate model possesses a distinct fingerprint that sets it apart stochastically from both observations and models developed by other research centers. The primary factor contributing to these differences is the difference in annual cycles. The difference in annual cycles is often dominated by a single component, which can be extracted and illustrated using discriminant analysis.
摘要本文开发了一种方法,用于确定两个矢量时间序列是否源于一个共同的随机过程。所考虑的随机过程包含序列相关性和多元年度周期。具体来说,该过程被建模为一个具有周期强迫的向量自回归模型,称为 VARX 模型(其中 X 代表外生变量)。使用似然比法检验两个 VARX 模型参数相同的假设。由此得出的检验结果可进一步分解为一系列检验,以评估 VARX 模型中的差异是否源于噪声参数、自回归参数或年周期参数的不同。在判别分析的基础上,我们开发了一种将 VARX 模型之间的差异压缩为最少组成部分的综合程序。利用这种方法,对气候模式模拟的北大西洋月平均海面温度的真实性进行了评估。不出所料,同一气候模式的不同模拟结果无法随机区分。同样,不同时期的观测数据也无法区分。然而,每个气候模式都与观测结果存在随机差异。此外,每个气候模式都与其他模式存在随机差异,除非它们来自同一个中心。从本质上讲,每个气候模式都有一个独特的 "指纹",使其在随机性上既不同于观测数据,也不同于其他研究中心开发的模式。造成这些差异的主要因素是年周期的不同。年周期的差异通常由单一成分主导,可通过判别分析提取和说明。
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引用次数: 0
Forecasting 24 h averaged PM2.5 concentration in the Aburrá Valley using tree-based machine learning models, global forecasts, and satellite information 利用基于树的机器学习模型、全球预测和卫星信息预测阿布拉山谷 24 小时平均 PM2.5 浓度
Q1 Mathematics Pub Date : 2023-12-22 DOI: 10.5194/ascmo-9-121-2023
Jhayron S. Pérez-Carrasquilla, Paola A. Montoya, Juan Manuel Sánchez, K. Hernández, Mauricio Ramírez
Abstract. We develop a framework to forecast 24 h averaged particulate matter (PM2.5) concentrations 4 d in advance in ground-based stations over the metropolitan area of the Aburrá Valley, Colombia. The input variables are gathered from a highly diverse set of sources, including in situ real-time PM2.5 observations, meteorological forecasts from the Global Forecasting System (GFS), aerosol optical depth (AOD) forecasts from the European Copernicus Atmosphere Monitoring Service (CAMS), and the Moderate Resolution Imaging Spectroradiometer (MODIS) active fire products. We compare the performance of two tree-based machine learning (ML) methods, random forests (RFs) and gradient boosting (GB), with linear regression as a baseline for error metrics. One of the disadvantages of tree-based models is their inability to make skillful predictions out of the domain in which the models were trained. To address that problem, we implement piecewise linear regression learners within the models. Additionally, to enhance the performance of the models, we use a customized loss function that considers the probability distribution of the target values. Tree-based models highly outperform the linear regression, with GB showing the best results in most of the 19 stations used in this study. We also test two approaches for the multi-step output problem, a direct multi-output (MO) scheme and a recursive (RC) scheme, with the GB–MO approach showing the best results. According to the performance analysis, the predictability is less for values away from the mean and decreases between 06:00 LT (local time) and the early afternoon, when the expansion of the boundary layer occurs. To contribute to understanding the sources of predictability and uncertainty of air quality in the city, we perform a feature importance analysis revealing that the relevance of the different independent variables is a function of the lead time. Particularly, apart from the past concentrations, the variables that most affect the predictability are the forecasted aerosol optical depth (AOD), the integrated fire radiative power over a forecasted back trajectory (BT-IFRP), and the predicted planetary boundary layer height (PBLH). In the testing period, the models showed the ability to forecast poor-air-quality events in the valley with more than 1 d of anticipation. This study serves as a framework for developing and evaluating the ML-based air quality forecasting models over the Andean region.
摘要。我们开发了一个框架,用于提前 4 天预测哥伦比亚阿布拉山谷大都市区上空地面站的 24 小时平均颗粒物(PM2.5)浓度。输入变量的来源多种多样,包括现场实时 PM2.5 观测、全球预报系统(GFS)的气象预报、欧洲哥白尼大气监测服务(CAMS)的气溶胶光学深度(AOD)预报以及中分辨率成像分光仪(MODIS)的主动火灾产品。我们比较了随机森林(RF)和梯度提升(GB)这两种基于树的机器学习(ML)方法的性能,并将线性回归作为误差指标的基准。基于树的模型的缺点之一是无法在训练模型的领域之外进行娴熟的预测。为了解决这个问题,我们在模型中实施了片断线性回归学习器。此外,为了提高模型的性能,我们还使用了考虑目标值概率分布的定制损失函数。基于树的模型在很大程度上优于线性回归模型,其中 GB 模型在本研究使用的 19 个站点中的大多数站点都显示出最佳效果。我们还测试了解决多步输出问题的两种方法,即直接多步输出(MO)方案和递归(RC)方案,其中 GB-MO 方法显示出最佳结果。根据性能分析,远离平均值的值的可预测性较低,并且在当地时间 06:00 LT 和下午早些时候边界层扩张时可预测性降低。为了帮助理解城市空气质量的可预测性和不确定性的来源,我们进行了特征重要性分析,结果显示不同自变量的相关性是前导时间的函数。特别是,除了过去的浓度外,对可预测性影响最大的变量是预测的气溶胶光学深度(AOD)、预测的后向轨迹上的综合火辐射功率(BT-IFRP)和预测的行星边界层高度(PBLH)。在测试期间,模型显示出了预报山谷空气质量差事件的能力,预报时间超过 1 天。这项研究为开发和评估基于 ML 的安第斯地区空气质量预报模型提供了框架。
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引用次数: 0
Quantifying the statistical dependence of mid-latitude heatwave intensity and likelihood on prevalent physical drivers and climate change 量化中纬度热浪强度和可能性对普遍物理驱动因素和气候变化的统计依赖性
Q1 Mathematics Pub Date : 2023-07-14 DOI: 10.5194/ascmo-9-83-2023
J. Zeder, E. Fischer
Abstract. Recent heatwaves such as the 2021 Pacific Northwest heatwave have shattered temperature records across the globe. The likelihood of experiencing extreme temperature events today is already strongly increased by anthropogenic climate change, but it remains challenging to determine to what degree prevalent atmospheric and land surface conditions aggravated the intensity of a specific heatwave event. Quantifying the respective contributions is therefore paramount for process understanding but also for attribution and future projection statements conditional on the state of atmospheric circulation or land surface conditions. We here propose and evaluate a statistical framework based on extreme value theory, which enables us to learn the respective statistical relationship between extreme temperature and process variables in initial-condition large ensemble climate model simulations. Elements of statistical learning theory are implemented in order to integrate the effect of the governing regional circulation pattern. The learned statistical models can be applied to reanalysis data to quantify the relevance of physical process variables in observed heatwave events. The method also allows us to make conditional attribution statements and answer “what if” questions. For instance, how much would a heatwave intensify given the same dynamic conditions but at a different warming level? How much additional warming is needed for the same heatwave intensity to occur under average circulation conditions? Changes in the exceedance probability under varying large- and regional-scale conditions can also be assessed. We show that each additional degree of global warming increases the 7 d maximum temperature for the Pacific Northwest area by almost 2 ∘C, and likewise, we quantify the direct effect of anti-cyclonic conditions on heatwave intensity. Based on this, we find that the combined global warming and circulation effect of at least 2.9 ∘C accounts for 60 %–80 % of the 2021 excess event intensity relative to average pre-industrial heatwave conditions.
摘要最近的热浪,如2021年太平洋西北部的热浪,打破了全球气温记录。人为气候变化已经大大增加了今天发生极端温度事件的可能性,但要确定普遍的大气和陆地表面条件在多大程度上加剧了特定热浪事件的强度,仍然具有挑战性。因此,量化各自的贡献对于理解过程至关重要,但对于以大气环流或地表条件为条件的归属和未来预测声明也至关重要。我们在这里提出并评估了一个基于极值理论的统计框架,该框架使我们能够在初始条件下的大集合气候模型模拟中学习极端温度和过程变量之间的各自统计关系。实施统计学习理论的要素,以整合区域环流模式的治理效果。学习到的统计模型可以应用于再分析数据,以量化观测到的热浪事件中物理过程变量的相关性。该方法还允许我们做出有条件的归因陈述,并回答“如果”的问题。例如,在相同的动态条件下,但在不同的升温水平下,热浪会增强多少?在平均环流条件下,同样的热浪强度需要多少额外的变暖?还可以评估在不同的大尺度和区域尺度条件下超越概率的变化。我们发现,全球变暖每增加一度,7 d太平洋西北部地区的最高气温几乎下降了2 ∘C、 同样,我们量化了反气旋条件对热浪强度的直接影响。基于此,我们发现全球变暖和环流的综合效应至少为2.9 ∘C占60 %–80 % 2021年相对于工业化前平均热浪条件的过度事件强度。
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引用次数: 1
Statistical modeling of the space–time relation between wind and significant wave height 风与有效波高时空关系的统计模拟
Q1 Mathematics Pub Date : 2023-06-05 DOI: 10.5194/ascmo-9-67-2023
Said Obakrim, Pierre Ailliot, Valérie Monbet, Nicolas Raillard
Abstract. Many marine activities, such as designing ocean structures and planning marine operations, require the characterization of sea-state climate. This study investigates the statistical relationship between wind and sea states, considering its spatiotemporal behavior. A transfer function is established between wind fields over the North Atlantic (predictors) and the significant wave height (predictand) at three locations: southwest of the French coast (Gironde), the English Channel, and the Gulf of Maine. The developed method considers both wind seas and swells by including local and global predictors. Using a fully data-driven approach, the global predictors' spatiotemporal structure is defined to account for the non-local and non-instantaneous relationship between wind and waves. Weather types are constructed using a regression-guided clustering method, and the resulting clusters correspond to different wave systems (swells and wind seas). Then, in each weather type, a penalized linear regression model is fitted between the predictor and the predictand. The validation analysis proves the models skill in predicting the significant wave height, with a root mean square error of approximately 0.3 m in the three considered locations. Additionally, the study discusses the physical insights underlying the proposed method.
摘要许多海洋活动,如设计海洋结构和规划海洋作业,都需要海况气候的特征。本研究考察了风和海况的统计关系,考虑了其时空行为。在三个地点建立了北大西洋风场(预测器)和显著波高(预测器)之间的传递函数:法国海岸西南部(吉伦特)、英吉利海峡和缅因湾。开发的方法考虑了风海和巨浪,包括本地和全球预测。采用完全数据驱动的方法,定义了全球预测器的时空结构,以考虑风与波之间的非局部和非瞬时关系。天气类型是使用回归引导聚类方法构建的,得到的聚类对应于不同的波浪系统(涨潮和风海)。然后,在每种天气类型中,在预测器和预测器之间拟合一个惩罚线性回归模型。验证分析证明了模型在预测有效波高方面的能力,三个考虑位置的均方根误差约为0.3 m。此外,该研究还讨论了所提出方法的物理见解。
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引用次数: 0
Changes in the distribution of annual maximum temperatures in Europe 欧洲年最高气温分布的变化
Q1 Mathematics Pub Date : 2023-05-24 DOI: 10.5194/ascmo-9-45-2023
G. Auld, G. Hegerl, I. Papastathopoulos
Abstract. In this study we detect and quantify changes in the distribution of the annual maximum daily maximum temperature (TXx)in a large observation-based gridded data set of European daily temperature during the years 1950–2018. Several statistical models are considered, each of which analyses TXx using a generalized extreme-value (GEV) distribution with the GEV parameters varying smoothly over space.In contrast to several previous studies which fit independent GEV models at the grid-box level, our models pull information from neighbouring grid boxes for more efficient parameter estimation. The GEV location and scale parameters are allowed tovary in time using the log of atmospheric CO2 as a covariate.Changes are detected most strongly in the GEV location parameter, with the TXx distributions generally shifting towards hotter temperatures. Averaged across our spatial domain, the 100-year return level of TXx based on the 2018 climateis approximately 2 ∘C (95 % confidence interval of [2.03,2.12] ∘C) hotter than that based on the 1950 climate. Moreover, averaged across our spatial domain, the 100-year return level of TXx based on the 1950 climate corresponds approximately to a 6-year return level in the 2018 climate.
摘要在这项研究中,我们检测并量化了1950-2018年欧洲日温度的大型观测网格数据集中年最高日最高温度(TXx)的分布变化。考虑了几种统计模型,每种模型都使用广义极值(GEV)分布分析TXx, GEV参数在空间上平滑变化。与之前的几项研究在网格盒级别拟合独立的GEV模型相比,我们的模型从相邻的网格盒中提取信息,以获得更有效的参数估计。使用大气CO2的对数作为协变量,允许GEV位置和尺度参数随时间变化。GEV位置参数的变化最为强烈,TXx分布通常向更热的温度方向移动。在我们的空间范围内,以2018年气候为基础的100年TXx的平均气温比以1950年气候为基础的100年气温高约2°C(95%可信区间为[2.03,2.12]°C)。此外,在整个空间域中平均,基于1950年气候的TXx的100年回归水平大致相当于2018年气候的6年回归水平。
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引用次数: 0
Evaluating skills and issues of quantile-based bias adjustment for climate change scenarios 评估气候变化情景下基于分位数的偏差调整的技能和问题
Q1 Mathematics Pub Date : 2023-04-24 DOI: 10.5194/ascmo-9-29-2023
F. Lehner, I. Nadeem, H. Formayer
Abstract. Daily meteorological data such as temperature or precipitation from climate models are needed for many climate impact studies, e.g., in hydrology or agriculture, but direct model output can contain large systematic errors. A large variety of methods exist to adjust the bias of climate model outputs. Here we review existing statistical bias-adjustment methods and their shortcomings, and compare quantile mapping (QM), scaled distribution mapping (SDM), quantile delta mapping (QDM) and an empiric version of PresRAT (PresRATe). We then test these methods using real and artificially created daily temperature and precipitation data for Austria. We compare the performance in terms of the following demands: (1) the model data should match the climatological means of the observational data in the historical period; (2) the long-term climatological trends of means (climate change signal), either defined as difference or as ratio, should not be altered during bias adjustment; and (3) even models with too few wet days (precipitation above 0.1 mm) should be corrected accurately, so that the wet day frequency is conserved. QDM and PresRATe combined fulfill all three demands. For (2) for precipitation, PresRATe already includes an additional correction that assures that the climate change signal is conserved.
摘要许多气候影响研究,例如在水文学或农业领域,都需要气候模式提供的温度或降水等日常气象数据,但是直接模式输出可能包含较大的系统误差。存在多种方法来调整气候模式输出的偏差。在此,我们回顾了现有的统计偏倚调整方法及其不足,并比较了分位数映射(QM)、比例分布映射(SDM)、分位数增量映射(QDM)和PresRAT (PresRATe)的经验版本。然后,我们使用奥地利真实的和人工创建的每日温度和降水数据来测试这些方法。我们从以下几个方面对性能进行了比较:(1)模式数据应与历史时期观测资料的气候平均值相匹配;(2)均值(气候变化信号)的长期气候趋势,无论定义为差还是比,在偏置调整期间都不应改变;(3)即使湿日数过少(降水大于0.1 mm)的模式也要进行精确校正,使湿日数频率保持不变。QDM和PresRATe的结合满足了这三个需求。对于(2)降水,PresRATe已经包含了一个额外的校正,以确保气候变化信号是守恒的。
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引用次数: 1
Modeling general circulation model bias via a combination of localized regression and quantile mapping methods 用局部回归和分位数映射相结合的方法模拟环流模型偏差
Q1 Mathematics Pub Date : 2023-02-02 DOI: 10.5194/ascmo-9-1-2023
Benjamin Washington, L. Seymour, T. Mote
Abstract. General circulation model (GCM) outputs are a primary source of information forclimate change impact assessments. However, raw GCM data rarely are used directly forregional-scale impact assessments as they frequently contain systematic error or bias. In thisarticle, we propose a novel extension to standard quantile mapping that allows for a continuousseasonal change in bias magnitude using localized regression. Our primary goal is to examine theefficacy of this tool in the context of larger statistical downscaling efforts on the tropicalisland of Puerto Rico, where localized downscaling can be particularly challenging. Along theway, we utilize a multivariate infilling algorithm to estimate missing data within an incompleteclimate data network spanning Puerto Rico. Next, we apply a combination of multivariatedownscaling methods to generate in situ climate projections at 23 locations across Puerto Ricofrom three general circulation models in two carbon emission scenarios: RCP4.5 and RCP8.5.Finally, our bias-correction methods are applied to these downscaled GCM climate projections.These bias-correction methods allow GCM bias to vary as a function of a user-defined season(here, Julian day). Bias is estimated using a continuous curve rather than a moving window ormonthly breaks. Results from the selected ensemble agree that Puerto Rico will continue to warmthrough the coming century. Under the RCP4.5 forcing scenario, our methods indicate that the dryseason will have increased rainfall, while the early and late rainfall seasons will likely have adecline in total rainfall. Our methods applied to the RCP8.5 forcing scenario favor a wetterclimate for Puerto Rico, driven by an increase in the frequency of high-magnitude rainfall eventsduring Puerto Rico's early rainfall season (April to July) as well as its late rainfall season(August to November).
摘要总环流模型(GCM)的输出是气候变化影响评估的主要信息来源。然而,GCM原始数据很少直接用于区域规模的影响评估,因为它们经常包含系统性错误或偏差。在这篇文章中,我们提出了一种对标准分位数映射的新扩展,该扩展允许使用局部回归来实现偏差幅度的连续季节性变化。我们的主要目标是在波多黎各热带地区进行更大规模的统计缩减工作的背景下检查该工具的有效性,在那里,本地化缩减可能特别具有挑战性。在此过程中,我们利用多元填充算法来估计横跨波多黎各的不完全气候数据网络中的缺失数据。接下来,我们应用多变量缩减方法的组合,从两种碳排放情景下的三个环流模型(RCP4.5和RCP8.5)中生成波多黎各23个地点的现场气候预测。最后,我们的偏差校正方法被应用于这些缩小规模的GCM气候预测。这些偏差校正方法允许GCM偏差作为用户定义季节(此处为儒略日)的函数而变化。使用连续曲线而不是移动窗口或每月中断来估计偏移。选定乐团的结果一致认为,波多黎各将在下个世纪继续变暖。在RCP4.5强迫情景下,我们的方法表明旱季的降雨量将增加,而早雨季和晚雨季的总降雨量可能会下降。我们应用于RCP8.5强迫情景的方法有利于波多黎各的湿润气候,这是由于波多黎各雨季早期(4月至7月)和雨季后期(8月至11月)高强度降雨事件的频率增加所致。
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引用次数: 0
Evaluation of simulated responses to climate forcings: a flexible statistical framework using confirmatory factor analysis and structural equation modelling – Part 1: Theory 对气候强迫的模拟响应的评估:采用验证性因子分析和结构方程建模的灵活统计框架。第1部分:理论
Q1 Mathematics Pub Date : 2022-12-14 DOI: 10.5194/ascmo-8-225-2022
Katarina Lashgari, G. Brattström, A. Moberg, R. Sundberg
Abstract. Evaluation of climate model simulations is a crucial task in climate research. Here, a newstatistical framework is proposed for evaluation of simulated temperature responsesto climate forcings against temperature reconstructions derived from climate proxy data forthe last millennium. The framework includes two types of statistical models, each of which isbased on the concept of latent (unobservable)variables: confirmatory factor analysis (CFA) models and structural equation modelling(SEM) models. Each statistical model presented is developed for use with data from a single region,which can be of any size. The ideas behind the framework arose partly from a statistical modelused in many detection and attribution (D&A) studies.Focusing on climatological characteristics offive specific forcings of natural and anthropogenic origin, the present work theoreticallymotivates an extension of the statistical model used in D&A studies to CFA and SEM models,which allow, for example, for non-climatic noise in observational data without assumingthe additivity of the forcing effects.The application of the ideas of CFA is exemplified in a small numerical study, whose aim wasto check the assumptions typically placed on ensemblesof climate model simulations when constructing mean sequences. The result of this study indicatedthat some ensembles for some regions may not satisfy the assumptions in question.
摘要气候模型模拟的评估是气候研究中的一项关键任务。在这里,提出了一个新闻统计学框架,用于评估模拟温度对气候强迫的响应,以及根据上千年的气候代理数据进行的温度重建。该框架包括两种类型的统计模型,每种模型都基于潜在(不可观测)变量的概念:验证性因素分析(CFA)模型和结构方程模型(SEM)模型。所提供的每个统计模型都是为与来自单个区域的数据一起使用而开发的,该区域可以是任何大小的数据。该框架背后的想法部分源于许多检测和归因研究中使用的统计模型。本工作着眼于自然和人为成因的五种特定强迫的气候特征,从理论上推动了将D&A研究中使用的统计模型扩展到CFA和SEM模型,例如,这些模型允许在观测数据中使用非气候噪声,而不假设强迫效应的可加性。CFA思想的应用在一项小型数值研究中得到了例证,该研究的目的是在构建平均序列时检查气候模型模拟集合中通常存在的假设。这项研究的结果表明,某些地区的一些组合可能无法满足所讨论的假设。
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引用次数: 1
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Advances in Statistical Climatology, Meteorology and Oceanography
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