Abstract

Tornado reports are locally rare, often clustered, and of variable quality making it difficult to use them directly to describe regional tornado climatology. Here a statistical model is demonstrated that overcomes some of these difficulties and produces a smoothed regional-scale climatology of tornado occurrences. The model is applied to data aggregated at the level of counties. These data include annual population, annual tornado counts and an index of terrain roughness. The model has a term to capture the smoothed frequency relative to the state average. The model is used to examine whether terrain roughness is related to tornado frequency and whether there are differences in tornado activity by County Warning Area (CWA). A key finding is that tornado reports increase by 13% for a two-fold increase in population across Kansas after accounting for improvements in rating procedures. Independent of this relationship, tornadoes have been increasing at an annual rate of 1.9%. Another finding is the pattern of correlated residuals showing more Kansas tornadoes in a corridor of counties running roughly north to south across the west central part of the state consistent with the dryline climatology. The model is significantly improved by adding terrain roughness. The effect amounts to an 18% reduction in the number of tornadoes for every ten meter increase in elevation standard deviation. The model indicates that tornadoes are 51% more likely to occur in counties served by the CWAs of DDC and GID than elsewhere in the state. Flexibility of the model is illustrated by fitting it to data from Illinois, Mississippi, South Dakota, and Ohio.

Highlights

  • Broad-scale tornado climatology in the United States is well described and physically understood

  • The model is fit using the method of integrated nested Laplacian approximation (INLA) to solve the Bayesian integrals arising from the application of Bayes theorem

  • The main idea of this paper is to demonstrate a model for tornado occurrence at the county level

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Summary

Introduction

Broad-scale tornado climatology in the United States is well described and physically understood. Spatial density maps that show regions of higher and lower tornado frequency are useful for exploratory analysis and hypothesis generation but because there is no simple way to control for environmental or other factors, interpretation of the patterns can be misleading. Another drawback is the implicit assumption that tornado occurrences are independent.

Materials and Methods
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