The minimum spanning tree histogram as a verification tool for multidimensional ensemble forecasts

By D. Wilks. 2004

58 citations recorded by the source corpus.

Subfields: Atmospheric Science, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/5d2389f0a9d0e11bb64f250657827d3b6fb6e707

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In Atmospheric Science

In Global and Planetary Change

Citations in the corpus

Variogram-Based Proper Scoring Rules for Probabilistic Forecasts of Multivariate Quantities* (2015, background): “A number of multivariate generalizations of the verification rank histogram have been proposed (Smith and Hansen 2004; Wilks 2004; Gneiting et al. 2008; Thorarinsdottir et al. 2015; Ziegel and Gneiting 2014) that are sensitive to misrepresentations of both univariate characteristics and…”
Evaluating Rank Histograms Using Decompositions of the Chi-Square Test Statistic (2008, methodology): “Another possibility is to treat the values at different spatial locations as different variables and use a minimum spanning tree (MST) approach to reduce the many variables to a onedimensional problem in which a rank histogram is constructed based on lengths of MSTs when the verification observation”
Assessing the Calibration of High-Dimensional Ensemble Forecasts Using Rank Histograms (2013, methodology): “A multivariate calibration technique based on minimum spanning trees proposed by Smith and Hansen (2004) and Wilks (2004) seamlessly falls within this framework.”
Forecasting: theory and practice (2020, background): “The challenge here is to find a pre-rank function that yields informative and discriminative ranking (Wilks, 2004; Gneiting et al., 2008; Thorarinsdottir et al., 2016), see Thorarinsdottir et al. (2016) and Wilks (2019) for comparative studies.”
Assessing probabilistic forecasts of multivariate quantities, with an application to ensemble predictions of surface winds (2008, methodology): “Ensemble forecasts have been the preferred format for probabilistic weather and climate predictions (Palmer 2002; Gneiting and Raftery 2005), which typically comprise on the order of 5 to 100 members.”