Validating the Bayesian hierarchical extreme value model for traffic conflict-based crash estimation on freeway segments with site-level factors

2021 ◽  
Vol 159 ◽  
pp. 106269
Author(s):  
Lai Zheng ◽  
Yao Huang ◽  
Tarek Sayed ◽  
Cheng Wen
2006 ◽  
Vol 17 (6) ◽  
pp. 555-574 ◽  
Author(s):  
Daniel Cooley ◽  
Philippe Naveau ◽  
Vincent Jomelli ◽  
Antoine Rabatel ◽  
Delphine Grancher

Author(s):  
Lai Zheng ◽  
Tarek Sayed ◽  
Mohamed Essa

The use of the extreme value theory to estimate crashes from traffic conflicts has been gaining popularity in road safety analysis. A recent advancement is the development of Bayesian hierarchical extreme value models (BHEVM) which can combine conflict extremes of different sites and account for non-stationarity and unobserved heterogeneity for crash estimation. This paper investigated the transferability of BHEVM developed based on actual vehicle trajectory data collected from the city of Surrey, Canada to two corridors of signalized intersections in Los Angeles and Georgia, USA. Two approaches were used to transfer the models: 1) through the recalibration of the random error terms and 2) using informative priors. The results show that the Surrey model is more transferable to Georgia than to Los Angeles, and using informative priors significantly improves the transferability. The results suggest that the BHEVM is transferable if there are similarities in the base and application contexts.


Author(s):  
Ashutosh Arun ◽  
Md. Mazharul Haque ◽  
Ashish Bhaskar ◽  
Simon Washington ◽  
Tarek Sayed

2017 ◽  
Vol 145 (11) ◽  
pp. 4501-4519 ◽  
Author(s):  
John T. Allen ◽  
Michael K. Tippett ◽  
Yasir Kaheil ◽  
Adam H. Sobel ◽  
Chiara Lepore ◽  
...  

The spatial distribution of return intervals for U.S. hail size is explored within the framework of extreme value theory using observations from the period 1979–2013. The center of the continent has experienced hail in excess of 5 in. (127 mm) during the past 30 yr, whereas hail in excess of 1 in. (25 mm) is more common in other regions, including the West Coast. Observed hail sizes show heavy quantization toward fixed-diameter reference objects and are influenced by spatial and temporal biases similar to those noted for hail occurrence. Recorded hail diameters have been growing in recent decades because of improved reporting. These data limitations motivate exploration of extreme value distributions to represent the return periods for various hail diameters. The parameters of a Gumbel distribution are fit to dithered observed annual maxima on a national 1° × 1° grid at locations with sufficient records. Gridded and kernel-smoothed return sizes and quantiles up to the 200-yr return period are determined for the fitted Gumbel distribution. These results are used to illustrate return levels for hail greater than a given size for at least one location within each 1° × 1° grid box for the United States.


2021 ◽  
Author(s):  
Harald Schellander ◽  
Michael Winkler ◽  
Tobias Hell

<p>The European Committee for Standardization provides coarse rules for the estimation of snow load maps for structural design. European countries can apply their own methodologies, resulting in inconsistencies for the 50-year return level of snow load at national borders. Commonly used approaches base on more or less sophisticated interpolation of snow depths with a subsequent assignment of snow density, or spatial extreme value interpolation of snow load measurements.  </p><p>We propose a novel methodology for Austria, where snow load observations are not available. It is based on (1) modeling yearly snow load maxima with the specially developed ∆SNOW model, and (2) a generalized additive model, where explaining covariates and their combinations are represented by penalized regression splines, fitted to such derived snow load series. Results show an RMSE of 0.7 kN/m<sup>2</sup>, and a BIAS of -0.2 kN/m<sup>2</sup> over all altitudes, thereby outperforming a smooth spatial extreme value model and the actual Austrian standard, when compared to locally estimated, “quasi-observed “ 50-year snow load maxima at 870 stations in and tightly around Austria.</p><p>The new approach requires no zoning and provides a reproducible and transparent approach. Due to the relatively ease of use and snow depth measurements as single prerequisite, the method is applicable in other countries as well. Negative BIASes, that significantly underestimate 50-year snow loads at a small number of stations, are the only objective problem that has to be solved before the new map can be proposed as a successor of the actual Austrian snow load map.</p>


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