Counterfactual analysis

反事实分析
  • 文章类型: Journal Article
    尽管对环境和人类健康具有负外部性,今天的经济仍然产生过量的二氧化碳排放。因此,各国政府正试图将生产和消费转向更可持续的模式,以减少二氧化碳排放对环境的影响。欧洲联盟,特别是,实施了一项创新政策,通过建立排放权市场来减少二氧化碳排放,排放交易系统。本文的目的是进行反事实分析,以衡量排放权交易体系对减少二氧化碳排放的影响。为此,使用了一种最近开发的统计机器学习方法,称为具有固定效应估计的矩阵完成,并与传统的计量经济学技术进行了比较。我们将具有固定效应估计的矩阵完成应用于二氧化碳排放矩阵的缺失反事实条目的预测,该二氧化碳排放矩阵的元素(按国家逐行索引,按年份逐列索引)表示排放量,而没有国家-年份对的排放交易系统。获得的结果,通过可靠的诊断测试证实,显示排放交易体系对减少二氧化碳排放的显着影响:我们分析中包括的大多数欧盟国家在排放交易体系处理期间将其二氧化碳总排放量(与选定行业相关)减少了约15.4%2005-2020年,与没有排放交易体系政策的情况下实现的二氧化碳总排放量(与相同行业相关)相比。最后,讨论了这项研究的几个管理/实际意义,以及它可能的扩展。
    Despite the negative externalities on the environment and human health, today\'s economies still produce excessive carbon dioxide emissions. As a result, governments are trying to shift production and consumption to more sustainable models that reduce the environmental impact of carbon dioxide emissions. The European Union, in particular, has implemented an innovative policy to reduce carbon dioxide emissions by creating a market for emission rights, the emissions trading system. The objective of this paper is to perform a counterfactual analysis to measure the impact of the emissions trading system on the reduction of carbon dioxide emissions. For this purpose, a recently-developed statistical machine learning method called matrix completion with fixed effects estimation is used and compared to traditional econometric techniques. We apply matrix completion with fixed effects estimation to the prediction of missing counterfactual entries of a carbon dioxide emissions matrix whose elements (indexed row-wise by country and column-wise by year) represent emissions without the emissions trading system for country-year pairs. The results obtained, confirmed by robust diagnostic tests, show a significant effect of the emissions trading system on the reduction of carbon dioxide emissions: the majority of European Union countries included in our analysis reduced their total carbon dioxide emissions (associated with selected industries) by about 15.4% during the emissions trading system treatment period 2005-2020, compared to the total carbon dioxide emissions (associated with the same industries) that would have been achieved in the absence of the emissions trading system policy. Finally, several managerial/practical implications of the study are discussed, together with its possible extensions.
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  • 文章类型: Journal Article
    COVID-19对全球卫生和世界经济构成了前所未有的挑战。大流行两年后,COVID-19的广泛影响继续加深,影响汽车行业及其供应链等不同行业。本研究提出了一种结合仿真建模和基于树的监督机器学习技术的混合方法,以探索终端市场需求中断的影响。具体来说,我们应用重生树合奏的概念,它们很强大,同时,易于解释的分类器,以半导体行业为例。首先,我们展示了如何使用重生树集合来探索由供应链仿真模型生成的数据。为此,我们展示了不同的行为和结构参数的影响,并显示了它们的变化对特定关键绩效指标的影响,例如,库存水平。最后,我们利用反事实分析来确定半导体公司的详细管理见解,以减轻对一个梯队或整个供应链的不利影响。我们的混合方法提供了一个仿真模型,该模型由基于树的监督机器学习模型增强,公司可以使用该模型来确定最佳措施,以减轻终端市场需求中断的不利影响。我们通过将反事实分析的结果向后集成到仿真模型中,以了解多级供应链中的整体动态,从而关闭了分析的循环。
    COVID-19 has posed unprecedented challenges to global health and the world economy. Two years into the pandemic, the widespread impact of COVID-19 continues to deepen, impacting different industries such as the automotive industry and its supply chain. This study presents a hybrid approach combining simulation modeling and tree-based supervised machine learning techniques to explore the implications of end-market demand disruptions. Specifically, we apply the concept of born-again tree ensembles, which are powerful and, at the same time, easily interpretable classifiers, to the case of the semiconductor industry. First, we show how to use born-again tree ensembles to explore data generated by a supply chain simulation model. To this end, we demonstrate the influence of varying behavioral and structural parameters and show the impact of their variation on specific key performance indicators, e.g., the inventory level. Finally, we leverage a counterfactual analysis to identify detailed managerial insights for semiconductor companies to mitigate adverse impacts on one echelon or the entire supply chain. Our hybrid approach provides a simulation model enhanced by a tree-based supervised machine learning model that companies can use to determine optimal measures for mitigating the adverse effects of end-market demand disruptions. We close the loop of our analysis by integrating the findings of the counterfactual analysis backward into the simulation model to understand the overall dynamics within the multi-echelon supply chain.
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  • 文章类型: Journal Article
    新冠肺炎研究议程的经验教训提供了一个结构,可以从全球灾难性风险(GCR)的角度研究新冠肺炎大流行和大流行应对措施。议程列出了我们研究的目标,调查重大改变大流行进程的关键决定和行动(或未能决定或采取行动),旨在改善未来的备灾和响应。它还询问我们如何将这些经验教训转移到(潜在的)全球灾难性风险管理的其他领域,例如极端气候变化,生物多样性的彻底丧失和新技术带来的极端风险的治理。我们的研究旨在确定关键时刻-“拐点”-显著塑造了COVID-19的灾难性轨迹。为此,本研究议程确定了可能存在这种拐点的四个大集群:大流行准备,早期行动,疫苗和非药物干预。目的是深入研究这些集群中的每一个,以确定大流行的进程是否以及如何变化,在国家和全球层面,使用反事实分析。使用四个方面来评估每个聚类内的候选拐点:1.当时可用的信息;2.所使用的决策过程;3.实施不同行动方案的能力和能力,和4。向不同公众传达信息和决策。研究议程确定了每个分组中所有四个方面的关键问题,这些问题应该能够确定COVID-19和大流行应对措施的关键经验教训。
    The Lessons from Covid-19 Research Agenda offers a structure to study the COVID-19 pandemic and the pandemic response from a Global Catastrophic Risk (GCR) perspective. The agenda sets out the aims of our study, which is to investigate the key decisions and actions (or failures to decide or to act) that significantly altered the course of the pandemic, with the aim of improving disaster preparedness and response in the future. It also asks how we can transfer these lessons to other areas of (potential) global catastrophic risk management such as extreme climate change, radical loss of biodiversity and the governance of extreme risks posed by new technologies. Our study aims to identify key moments- \'inflection points\'- that significantly shaped the catastrophic trajectory of COVID-19. To that end this Research Agenda has identified four broad clusters where such inflection points are likely to exist: pandemic preparedness, early action, vaccines and non-pharmaceutical interventions. The aim is to drill down into each of these clusters to ascertain whether and how the course of the pandemic might have gone differently, both at the national and the global level, using counterfactual analysis. Four aspects are used to assess candidate inflection points within each cluster: 1. the information available at the time; 2. the decision-making processes used; 3. the capacity and ability to implement different courses of action, and 4. the communication of information and decisions to different publics. The Research Agenda identifies crucial questions in each cluster for all four aspects that should enable the identification of the key lessons from COVID-19 and the pandemic response.
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  • 文章类型: Journal Article
    社交软技能对于工人执行任务至关重要,然而,很难对人们进行培训,并在需要时重新调整他们的技能。在目前的工作中,我们分析了在意大利与88个经济部门和14个年龄组相关的职业中,COVID-19大流行对社会软技能的可能影响.我们利用来自ICP的详细信息(即意大利相当于O*Net),由意大利国家公共政策分析研究所提供,从微观数据中研究劳动力的连续检测,由意大利国家统计局(ISTAT)提供,以及ISTAT关于意大利人口的数据。基于这些数据,我们模拟了COVID-19对工作场所特征和工作方式的影响,这些特征和工作方式受到大流行期间封锁措施和卫生倾向的更严重影响(例如,身体接近,面对面的讨论,远程工作)。然后,我们应用矩阵完成-一种常用于推荐系统的机器学习技术-来预测工作条件变化时每个职业所需的社会软技能重要性水平的平均变化。因为一些变化可能会在不久的将来持续存在。专业,部门,显示负平均变化的年龄组面临着社会软技能禀赋的不足,这最终可能会导致生产率下降。
    Social soft skills are crucial for workers to perform their tasks, yet it is hard to train people on them and to readapt their skill set when needed. In the present work, we analyze the possible effects of the COVID-19 pandemic on social soft skills in the context of Italian occupations related to 88 economic sectors and 14 age groups. We leverage detailed information coming from ICP (i.e. the Italian equivalent of O*Net), provided by the Italian National Institute for the Analysis of Public Policy, from the microdata for research on the continuous detection of labor force, provided by the Italian National Institute of Statistics (ISTAT), and from ISTAT data on the Italian population. Based on these data, we simulate the impact of COVID-19 on workplace characteristics and working styles that were more severely affected by the lockdown measures and the sanitary dispositions during the pandemic (e.g. physical proximity, face-to-face discussions, working remotely). We then apply matrix completion-a machine-learning technique often used in the context of recommender systems-to predict the average variation in the social soft skills importance levels required for each occupation when working conditions change, as some changes might be persistent in the near future. Professions, sectors, and age groups showing negative average variations are exposed to a deficit in their social soft-skills endowment, which might ultimately lead to lower productivity.
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  • 文章类型: Journal Article
    生物多样性补偿是一种具有全球影响力的政策机制,用于协调发展与生物多样性丧失之间的权衡。然而,几乎没有有力的证据证明它的有效性。我们评估了管辖权抵消政策的结果(维多利亚,澳大利亚)。根据维多利亚州的本地植被框架(2002-2013)的偏移,旨在防止残留植被的损失和退化,并在植被范围和质量上产生收益。我们将偏移量归类为具有接近完整基准木本植被覆盖的偏移量(“避免损失”,2702公顷)且覆盖不完整(“再生”,501公顷),并评估了2008年至2018年对木本植被范围的影响。我们使用了两种方法来估计反事实。首先,我们在生物物理协变量上使用了统计匹配:保护影响评估中的一种常用方法,但有可能忽视潜在的重要的心理社会混杂因素。第二,我们将偏移的变化与研究期间未偏移但后来作为偏移登记的部位的变化进行了比较。部分考虑到自我选择偏差(土地所有者登记土地可能具有影响他们如何管理土地的共同特征)。匹配生物物理协变量,我们估计,再生补偿增加了1.9%-3.6%/年比非补偿场地(从2008年到2018年为138-180公顷),但这种影响在第二种方法中减弱(0.3%-1.9%/年比非补偿场地多;从2008年到2018年为19-97公顷),当单个异常地块被移除时消失。两种方法都没有检测到避免的损失补偿的任何影响。由于数据限制,我们无法最终证明是否实现了“净收益”(NG)的政策目标。然而,鉴于我们的证据表明,木本植被的大部分增加并不是额外的(如果没有该计划,就会发生),NG结果似乎不太可能。结果突出了在监管生物多样性抵消政策的设计和评估中考虑自我选择偏差的重要性,以及对管辖权的生物多样性抵消政策进行强有力的影响评估的挑战。
    Biodiversity offsetting is a globally influential policy mechanism for reconciling trade-offs between development and biodiversity loss. However, there is little robust evidence of its effectiveness. We evaluated the outcomes of a jurisdictional offsetting policy (Victoria, Australia). Offsets under Victoria\'s Native Vegetation Framework (2002-2013) aimed to prevent loss and degradation of remnant vegetation, and generate gains in vegetation extent and quality. We categorised offsets into those with near-complete baseline woody vegetation cover (\"avoided loss\", 2702 ha) and with incomplete cover (\"regeneration\", 501 ha), and evaluated impacts on woody vegetation extent from 2008 to 2018. We used two approaches to estimate the counterfactual. First, we used statistical matching on biophysical covariates: a common approach in conservation impact evaluation, but which risks ignoring potentially important psychosocial confounders. Second, we compared changes in offsets with changes in sites that were not offsets for the study duration but were later enrolled as offsets, to partially account for self-selection bias (where landholders enrolling land may have shared characteristics affecting how they manage land). Matching on biophysical covariates, we estimated that regeneration offsets increased woody vegetation extent by 1.9%-3.6%/year more than non-offset sites (138-180 ha from 2008 to 2018) but this effect weakened with the second approach (0.3%-1.9%/year more than non-offset sites; 19-97 ha from 2008 to 2018) and disappeared when a single outlier land parcel was removed. Neither approach detected any impact of avoided loss offsets. We cannot conclusively demonstrate whether the policy goal of \'net gain\' (NG) was achieved because of data limitations. However, given our evidence that the majority of increases in woody vegetation extent were not additional (would have happened without the scheme), a NG outcome seems unlikely. The results highlight the importance of considering self-selection bias in the design and evaluation of regulatory biodiversity offsetting policy, and the challenges of conducting robust impact evaluations of jurisdictional biodiversity offsetting policies.
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  • 文章类型: Journal Article
    本文分析了工资自动指数化对就业的影响。为了提高竞争力,增加就业,比利时于2015年暂停了自动工资指数化系统。这导致所有工人的实际工资下降了2%。在没有合适的对照组的情况下,我们使用机器学习进行反事实分析。我们根据被治疗公司的治疗前演变,人为地构建了对照组,以进行差异分析。我们发现对就业的积极影响为1.2%,对应的劳动力需求弹性为-0.6。这种影响对制造企业来说更为明显,其中弹性达到-1。这些结果表明,自动工资指数化机制的暂停可以有效地维护就业。
    This paper analyzes the impact of automatic wage indexation on employment. To boost competitiveness and increase employment, Belgium suspended its automatic wage indexation system in 2015. This resulted in a 2% fall in real wages for all workers. In the absence of a suitable control group, we use machine learning for the counterfactual analysis. We artificially construct the control group for a difference-in-difference analysis based on the pre-treatment evolution of treated firms. We find a positive impact on employment of 1.2%, which corresponds to a labor demand elasticity of - 0.6. This effect is more pronounced for manufacturing firms, where the elasticity reaches - 1. These results show that a suspension of the automatic wage indexation mechanism can be effective in preserving employment.
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  • 文章类型: Journal Article
    使用流行病学数学模型(系统动力学模型)和反事实分析运行COVID-19情景,以模拟不同的控制和遏制措施对孟加拉国和巴基斯坦累积感染和死亡的影响。模拟基于关于疫苗接种水平的国家级数据,医院能力,和其他因素,来自世界卫生组织,世界银行,和我们的世界数据门户网站。这些数据被添加到2020年3月18日至2022年2月28日期间政府机构的累计感染和死亡数据中。巴基斯坦和孟加拉国的基线曲线是使用分段拟合获得的,考虑了与报告数据的不同事件,并允许累积感染和死亡的随机误差小于5%。结果表明,孟加拉国可以通过将其最初的封锁至少向后移动五天,在每个关键成果指标上实现更多的削减,而巴基斯坦需要延长封锁以实现可比的改进。孟加拉国的第二次封锁似乎比巴基斯坦的时机更好。两周前开始孟加拉国的第三次封锁,以及将其与第四次封锁结合起来或完全取消第四次封锁,都有潜在的好处。在第二波上升斜坡开始时增加两周的封锁可能会导致两个国家的累积感染减少40%以上,累积死亡人数减少35%。然而,孟加拉国的削减对封锁的持续时间更为敏感。巴基斯坦的反应受到医疗资源的限制更大,而孟加拉国的结果对疫苗接种时间和能力更敏感。与巴基斯坦的相同组合相比,孟加拉国的多种方案组合时损失了更多的好处。显然,通过调整这两个国家的控制和遏制措施,累积感染和死亡可能会受到高度影响。然而,COVID-19结果对孟加拉国背景下的调整干预更敏感。分类分析,使用更广泛的因素,可能会揭示几个地方的动态。尽管如此,当前的研究表明,锁定时间调整和离散调整与其他几种控制和遏制措施的相关性。
    COVID-19 scenarios were run using an epidemiological mathematical model (system dynamics model) and counterfactual analysis to simulate the impacts of different control and containment measures on cumulative infections and deaths in Bangladesh and Pakistan. The simulations were based on national-level data concerning vaccination level, hospital capacity, and other factors, from the World Health Organization, the World Bank, and the Our World in Data web portal. These data were added to cumulative infections and death data from government agencies covering the period from 18 March 2020 to 28 February 2022. Baseline curves for Pakistan and Bangladesh were obtained using piecewise fitting with a consideration of different events against the reported data and allowing for less than 5% random errors in cumulative infections and deaths. The results indicate that Bangladesh could have achieved more reductions in each key outcome measure by shifting its initial lockdown at least five days backward, while Pakistan would have needed to extend its lockdown to achieve comparable improvements. Bangladesh\'s second lockdown appears to have been better timed than Pakistan\'s. There were potential benefits from starting the third lockdown two weeks earlier for Bangladesh and from combining this with the fourth lockdown or canceling the fourth lockdown altogether. Adding a two-week lockdown at the beginning of the upward slope of the second wave could have led to a more than 40 percent reduction in cumulative infections and a 35 percent reduction in cumulative deaths for both countries. However, Bangladesh\'s reductions were more sensitive to the duration of the lockdown. Pakistan\'s response was more constrained by medical resources, while Bangladesh\'s outcomes were more sensitive to both vaccination timing and capacities. More benefits were lost when combining multiple scenarios for Bangladesh compared to the same combinations in Pakistan. Clearly, cumulative infections and deaths could have been highly impacted by adjusting the control and containment measures in both national settings. However, COVID-19 outcomes were more sensitive to adjustment interventions for the Bangladesh context. Disaggregated analyses, using a wider range of factors, may reveal several sub-national dynamics. Nonetheless, the current research demonstrates the relevance of lockdown timing adjustments and discrete adjustments to several other control and containment measures.
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  • 文章类型: Journal Article
    UNASSIGNED: Adverse childhood experience is thought to be associated with risk of coronary heart disease, but it is not clear which experiences are cardiotoxic, and whether risk increases with the accumulation of adverse childhood experiences.
    UNASSIGNED: Participants were 5149 adults (72.6% men) in the Whitehall II cohort study. Parental death was recorded at phase 1 (median age in years 44.3), and 13 other adverse childhood experiences at phase 5 (55.3). We applied Cox proportional hazards regression with person-time from phase 5 to examine associations of adverse childhood experiences with incident coronary heart disease. We predicted hazard ratios according to count of the experiences, and examined dose-response effect. We finally estimated reduction of coronary heart disease in a hypothetical scenario, the absence of adverse childhood experiences.
    UNASSIGNED: Among study participants, 62.9% had at least one adversity, with \"financial problems\" having the highest prevalence (26.1%). There were 509 first episodes of coronary heart disease during an average 12.9 years follow-up. Among 14 adverse childhood experiences in a multiply adjusted model, \"parental unemployment\" showed the highest hazard of coronary heart disease incidence (hazard ratio; 95% confidence interval: 1.53; 1.16 to 2.02). No dose-response effect was observed (constant for proportionality in hazard ratio: 1.05, 0.99 to 1.11). Based on the estimates of final model, in the absence of childhood adversities, we estimated a 6.0% reduction in coronary heart disease (0.94; 0.87 to 1.01), but the confidence interval includes one.
    UNASSIGNED: Although individual adverse childhood experiences show some association with coronary heart disease, there is no clear relationship with the number of adverse experiences. Further research is required to quantify effects of multiple and combinations of adverse childhood experiences considering timing, duration, and severity.
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  • 文章类型: Journal Article
    经过几十年对交通冲突和其他撞车代理事件的研究,定义这些事件并最终将它们与崩溃联系起来仍然是最重要的任务。本文旨在通过讨论基本概念来帮助在这两个基本问题上建立共识,通过这些基本概念可以将它们以具有理论和经验证据的一致构造联系起来。通过考虑两种碰撞接近度分布,强调了对安全相关事件的洞察力超出外部可观察范围的重要性:(1)外部观察者观察到的值和(2)通常无法观察到的驾驶员偏好值。在用这两个分布说明的崩溃可能性的背景下,讨论了交通遇到和交通冲突。优选和观察到的碰撞接近度值之间的差异被引入作为对违反碰撞接近度偏好的错误的响应延迟。如果只有外部观察可用,则建议对由违反驾驶员民众最小碰撞距离的驾驶员错误引起的交通冲突进行安全分析。确定了正确检测此类交通冲突和估计撞车概率的条件,并根据过去的SHRP2研究强调了它们的有效性。上述研究确定了正确识别交通冲突的两个额外条件:(1)速度足够高,以引起与理论和Lomax分布一致的驾驶员响应,以及(2)消除自清遭遇,例如前车驶出车道后端互动。这项研究中最令人鼓舞的发现是提到的足够高的速度,这些速度往往与足够严重的碰撞结果相吻合,可以向当局报告。另一个令人鼓舞的因素是对自动驾驶汽车可能带来的首选碰撞接近值的洞察力。当今应用EV建模的最大挑战是使用适当的安全相关事件,以确保基于观察到的事件估计的分布的尾部与代表崩溃的分布尾部一致。自动驾驶车辆可能有助于消除这一挑战,因为它们的首选碰撞接近度值应该是已知的。
    After decades of research on traffic conflicts and other crash surrogate events, defining these events and conclusively connecting them with crashes continue to be the most important tasks. This paper aims to help establish a consensus on these two fundamental matters by discussing the underlying concepts by which they can be connected in a consistent construct justified with theory and empirical evidence. The importance of insight into a safety-relevant event beyond what is externally observable is emphasized by considering two distributions of crash nearness: (1) values observed by external observers and (2) driver-preferred values that are usually unobservable. Traffic encounters and traffic conflicts are discussed here in the context of crash possibility illustrated with these two distributions. The difference between the preferred and observed crash nearness values is introduced as the delay of response to an error that violates the crash nearness preference. Traffic conflicts caused by driver errors that violate the driver populace\'s minimum crash nearness are recommended for safety analysis if only external observations are available. The conditions of properly detecting such traffic conflicts and estimating the probability of crash are identified and their validity is emphasized based on the past SHRP2 study. The mentioned study identified two additional conditions for proper identification of traffic conflicts: (1) speeds sufficiently high to induce driver responses consistent with the theory and with Lomax distribution and (2) elimination of self-clearing encounters such as a preceding vehicle exiting a lane in rear-end interactions. The most encouraging finding of this study is the mentioned sufficiently high speeds that tend to coincide with collision outcomes sufficiently serious to be reportable to the authorities. Another encouraging element is the insight about preferred crash nearness values that may be brought by autonomous vehicles. The biggest challenge in applying EV modeling today is using proper safety-relevant events to ensure that the tail of a distribution estimated based on observed events is consistent with the distribution tail that represents a crash. Autonomous vehicles may help eliminate this challenge since their preferred crash nearness values should be known.
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  • 文章类型: Journal Article
    尽管碰撞的频率和严重程度是道路安全的直接衡量标准,崩溃数据通常质量有限,需要较长的数据收集时间才能产生结论性结果。多年来,可以对安全性进行快速准确估计的撞车代用品一直是一个活跃的话题。在多种选择中,交通冲突已被确立为有希望的替代措施。本文旨在通过应用最近提出的基于Lomax的方法从观察到的交通冲突中估计预期的撞车次数来证明故障引起的交通冲突的有效性。在自然驾驶程序中收集的数据,第二个战略公路研究计划(SHRP2),在验证任务中使用。对SHRP2计划期间记录的追尾事故和相应的追尾交通冲突进行了分析,分别针对三类驾驶员:年轻男性,成熟的男性,成熟的女性过去的研究表明,这三个类别对参与撞车的倾向性截然不同。在SHRP2数据库中包含的所有后端流量冲突中,1.4%用于估算每种研究类型的驾驶员的碰撞频率和发生率。Lomax分布在反事实框架内应用。然后,将基于冲突的碰撞率估计值与根据SHRP2研究期间观察到的所有追尾碰撞计算出的所研究类型驾驶员的碰撞率进行比较.基于冲突的费率估计很好地遵循了基于碰撞的费率和有关所研究驾驶员安全性能的现有知识。基于冲突的结果证实了年轻男性司机在撞车事故中的比例过高。还证实,成熟的男性驾驶员比成熟的女性驾驶员更频繁地发生追尾事故。结果既证明了基于Lomax的故障引起的交通冲突分析的有效性,也证明了交通冲突分析的好处,该分析大大减少了数据收集时间,从撞车事故的数年减少到交通冲突的数天或数周。
    Although the frequency and severity of crashes are direct measures of road safety, crash data are typically of limited quality and they require long data collection periods to produce conclusive results. Surrogates of crashes that would allow a quick and accurate estimation of safety have been an active topic for years. Among multiple alternatives, traffic conflicts have been established as a promising surrogate measure. This paper is aimed to demonstrate the validity of failure-caused traffic conflicts by applying a recently proposed Lomax-based method to estimate the expected number of crashes from observed traffic conflicts. The data collected in the naturalistic driving program, the Second Strategic Highway Research Program (SHRP2), were used in the validation task. The rear-end crashes recorded during the SHRP2 program and the corresponding rear-end traffic conflicts were analyzed for three categories of drivers: young male, mature male, and mature female. Past research has indicated that these three categories have a distinctively different proneness to involvement in crashes. Out of all rear-end traffic conflicts included in the SHRP2 database, 1.4 % were used to estimate the crash frequencies and rates for each studied type of driver. The Lomax distribution was applied within the counterfactual framework. Then, the conflict-based crash rate estimates were compared to the crash rates of the studied types of drivers calculated from all the rear-end crashes observed in the SHRP2 study period. The conflict-based rate estimates followed well the crash-based rates and the existing knowledge about the safety performance of the studied drivers. The conflict-based results confirmed the over-representation of young male drivers in crashes. It was also confirmed that mature male drivers are involved in rear-end crashes more frequently than mature female drivers. The results demonstrate both the validity of the Lomax-based analysis of failure-caused traffic conflicts and the benefit of traffic conflicts analysis that considerably reduces a period of data collection from years for crashes to days or weeks for traffic conflicts.
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