Abstract

The accurate prediction of extreme weather events is an important and challenging task, and has typically relied on numerical simulations of the atmosphere. Here, we combine insights from numerical forecasts with recent developments in dynamical systems theory, which describe atmospheric states in terms of their persistence (θ−1) and local dimension (d), and inform on how the atmosphere evolves to and from a given state of interest. These metrics are intuitively linked to the intrinsic predictability of the atmosphere: a highly persistent, low-dimensional state will be more predictable than a low-persistence, high-dimensional one. We argue that θ−1 and d, derived from reanalysis sea level pressure (SLP) and geopotential height (Z500) fields, can provide complementary predictive information for mid-latitude extreme weather events. Specifically, signatures of regional extreme weather events might be reflected in the dynamical systems metrics, even when the actual extreme is not well-simulated in numerical forecasting systems. We focus on cold spells in the Eastern Mediterranean, and particularly those associated with snow cover in Jerusalem. These rare events are systematically associated with Cyprus Lows, which are the dominant rain-bearing weather system in the region. In our analysis, we compare the ‘cold spell Cyprus Lows’ to other ‘regular’ Cyprus Low days. Significant differences are found between cold spells and ‘regular’ Cyprus Lows from a dynamical systems perspective. When considering SLP, the intrinsic predictability of cold spells is lowest hours before the onset of snow. We find that the cyclone’s location, depth and magnitude of air-sea fluxes play an important role in determining its intrinsic predictability. The dynamical systems metrics computed on Z500 display a different temporal evolution to their SLP counterparts, highlighting the different characteristics of the atmospheric flow at the different levels. We conclude that the dynamical systems approach, although sometimes challenging to interpret, can complement conventional numerical forecasts and forecast skill measures, such as model spread and absolute error. This methodology outlines an important avenue for future research, which can potentially be fruitfully applied to other regions and other types of weather extremes.

Highlights

  • Cold spells are a major weather-related hazard, causing premature excess mortality (Peterson et al 2013; Ballester et al 2016; Ryti et al 2016), agricultural losses (e.g., Ferrarezi et al 2019) and ecosystem damage (Boucek et al 2016)

  • The wintertime average values of the dynamical systems metrics likely reflect the occurrence of other synoptic classes such as high-pressure systems, which display lower θ and d values than the Cyprus Lows

  • We use a combination of dynamical systems theory, numerical weather forecasts and Lagrangian parcel tracking to investigate the evolution and predictability characteristics of Eastern Mediterranean cold spells leading to snow in Jerusalem

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Summary

Introduction

Cold spells are a major weather-related hazard, causing premature excess mortality (Peterson et al 2013; Ballester et al 2016; Ryti et al 2016), agricultural losses (e.g., Ferrarezi et al 2019) and ecosystem damage (Boucek et al 2016). Hochman et al (2019) have provided evidence that the synoptic-scale surface atmospheric pattern associated with the ‘Alexa’ cold spell was relatively persistent (low θ), yet with a high local dimension (high d) This is a rare combination, since there is typically a positive correlation between d and θ (e.g., Rodrigues et al 2018). We hypothesize that the signature of extreme weather events may be reflected in the evolution of the dynamical systems metrics, even when numerical forecasting systems provide a poor representation of the extreme itself In this respect, cold spells associated with snow in Jerusalem (‘cold spells’ hereafter) are used as a case study, and are compared to Cyprus Lows not leading to snow.

Data and methods
The semi‐objective synoptic classification
Dynamical systems metrics
Air parcel tracking
Seasonality of the dynamical systems metrics
Dynamics of cold spells over the Eastern Mediterranean
A detailed analysis of the ‘Alexa’ cold spell
Summary and conclusions
Compliance with ethical standards
Full Text
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