A Markov-switching model for heat waves

Benjamin Adam Shaby, Brian J. Reich, Daniel Cooley, Cari G. Kaufman

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Heat waves merit careful study because they inflict severe economic and societal damage. We use an intuitive, informal working definition of a heat wave—a persistent event in the tail of the temperature distribution—to motivate an interpretable latent state extreme value model. A latent variable with dependence in time indicates membership in the heat wave state. The strength of the temporal dependence of the latent variable controls the frequency and persistence of heat waves. Within each heat wave, temperatures are modeled using extreme value distributions, with extremal dependence across time accomplished through an extreme value Markov model. One important virtue of interpretability is that model parameters directly translate into quantities of interest for risk management, so that questions like whether heat waves are becoming longer, more severe or more frequent are easily answered by querying an appropriate fitted model. We demonstrate the latent state model on two recent, calamitous, examples: the European heat wave of 2003 and the Russian heat wave of 2010.

Original languageEnglish (US)
Pages (from-to)74-93
Number of pages20
JournalAnnals of Applied Statistics
Volume10
Issue number1
DOIs
StatePublished - Mar 1 2016

Fingerprint

Markov Switching Model
Heat
Extreme Values
Latent Variables
Extreme Value Distribution
Hot Temperature
Markov switching model
Interpretability
Time Dependence
Risk Management
Risk management
Model
Persistence
Markov Model
Extreme values
Intuitive
Tail
Damage
Economics
Temperature

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty

Cite this

Shaby, B. A., Reich, B. J., Cooley, D., & Kaufman, C. G. (2016). A Markov-switching model for heat waves. Annals of Applied Statistics, 10(1), 74-93. https://doi.org/10.1214/15-AOAS873
Shaby, Benjamin Adam ; Reich, Brian J. ; Cooley, Daniel ; Kaufman, Cari G. / A Markov-switching model for heat waves. In: Annals of Applied Statistics. 2016 ; Vol. 10, No. 1. pp. 74-93.
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Shaby, BA, Reich, BJ, Cooley, D & Kaufman, CG 2016, 'A Markov-switching model for heat waves', Annals of Applied Statistics, vol. 10, no. 1, pp. 74-93. https://doi.org/10.1214/15-AOAS873

A Markov-switching model for heat waves. / Shaby, Benjamin Adam; Reich, Brian J.; Cooley, Daniel; Kaufman, Cari G.

In: Annals of Applied Statistics, Vol. 10, No. 1, 01.03.2016, p. 74-93.

Research output: Contribution to journalArticle

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Shaby BA, Reich BJ, Cooley D, Kaufman CG. A Markov-switching model for heat waves. Annals of Applied Statistics. 2016 Mar 1;10(1):74-93. https://doi.org/10.1214/15-AOAS873