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Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

应用统计 · 统计学 2014-11-19 Yang Liu , Philip Kokic

Extreme precipitation events with large spatial extents may have more severe impacts than localized events as they can lead to widespread flooding. It is debated how climate change may affect the spatial extent of precipitation extremes,…

统计方法学 · 统计学 2022-12-07 Peng Zhong , Manuela Brunner , Thomas Opitz , Raphaël Huser

Gridded data products, for example interpolated daily measurements of precipitation from weather stations, are commonly used as a convenient substitute for direct observations because these products provide a spatially and temporally…

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

应用统计 · 统计学 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

Extreme environmental phenomena such as major precipitation events manifestly exhibit spatial dependence. Max-stable processes are a class of asymptotically-justified models that are capable of representing spatial dependence among extreme…

应用统计 · 统计学 2013-01-09 Brian J. Reich , Benjamin A. Shaby

We propose a Bayesian hierarchical model for spatial extremes on a large domain. In the data layer a Gaussian elliptical copula having generalized extreme value (GEV) marginals is applied. Spatial dependence in the GEV parameters are…

统计方法学 · 统计学 2017-03-08 Cameron Bracken , Balaji Rajagopalan , Linyin Cheng , Will Kleiber , Subhrendu Gangopadhyay

The hazard of pluvial flooding is largely influenced by the spatial and temporal dependence characteristics of precipitation. When extreme precipitation possesses strong spatial dependence, the risk of flooding is amplified due to catchment…

应用统计 · 统计学 2020-08-03 Gregory P. Bopp , Benjamin A. Shaby , Chris E. Forest , Alfonso Mejía

Understanding the spatial extent of extreme precipitation is necessary for determining flood risk and adequately designing infrastructure (e.g., stormwater pipes) to withstand such hazards. While environmental phenomena typically exhibit…

应用统计 · 统计学 2020-03-25 Gregory P. Bopp , Benjamin A. Shaby , Raphaël Huser

Most climate trend studies analyze long-term trends as a proxy for climate dynamics. However, when examining seasonal data, it is unrealistic to assume that long-term trends remain consistent across all seasons. Instead, each season likely…

应用统计 · 统计学 2025-12-04 Jaechoul Lee , Mintaek Lee , Thea Sukianto

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

应用统计 · 统计学 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

应用统计 · 统计学 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Intense precipitation events are commonly known to be associated with an increased risk of flooding. As a result of the societal and infrastructural risks linked with flooding, extremes of precipitation require careful modelling. Extreme…

应用统计 · 统计学 2017-10-06 Paul Sharkey , Hugo C. Winter

A new stochastic model for daily precipitation occurrence processes observed at multiple locations is developed. The modeling concept is to use the indicator function and the elliptical shape of multivariate Gaussian distribution to…

应用统计 · 统计学 2020-09-02 Hsien-Wei Chen

Due to complex physical phenomena, the distribution of heavy rainfall events is difficult to model spatially. Physically based numerical models can often provide physically coherent spatial patterns, but may miss some important…

应用统计 · 统计学 2020-03-13 Marco Oesting , Philippe Naveau

Climate models robustly imply that some significant change in precipitation patterns will occur. Models consistently project that the intensity of individual precipitation events increases by approximately 6-7%/K, following the increase in…

应用统计 · 统计学 2016-12-21 Won Chang , Michael L. Stein , Jiali Wang , V. Rao Kotamarthi , Elisabeth J. Moyer

Although most models for rainfall extremes focus on point-wise values, it is aggregated precipitation over areas up to river catchment scale that is of the most interest. To capture the joint behaviour of precipitation aggregates evaluated…

应用统计 · 统计学 2023-01-03 Jordan Richards , Jonathan A. Tawn , Simon Brown

We propose a computationally efficient statistical method to obtain distributional properties of annual maximum 24 hour precipitation on a 1 km by 1 km regular grid over Iceland. A latent Gaussian model is built which takes into account…

统计方法学 · 统计学 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson

The gridding of daily accumulated precipitation -- especially extremes -- from ground-based station observations is problematic due to the fractal nature of precipitation, and therefore estimates of long period return values and their…

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

统计方法学 · 统计学 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby
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