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FORECASTING CHANGES IN WEATHER REGIMES

Jo Pelly and Brian Hoskins

What is a weather regime?

The notion of weather regimes originates from empirical observations of midlatitude weather throughout this century. It has been observed that, on time scales of a few days up to a few weeks, 'quasi-stationary anomalies' repeatedly occur at the same locations. For example, weather in the UK is strongly influenced by the midlatitude westerly jet, which tends to steer extratropical cyclones across the north Atlantic and into northern Europe. However, this upper level 'zonal flow' is sometimes blocked by large-scale high pressure systems over the UK as shown in the figure below. This figure shows an example of a dipole-like 'blocked regime', with anomalous easterly winds in the upper level flow along the north coast of France.

Z250 map of a Euro-Atlantic block

The easterly flow associated with blocking can lead to significant weather in the UK such as droughts in summer, or extended cold periods in winter. It is therefore very important to be able to forecast such events well. Unfortunately, current forecast models have problems predicting changes in weather regime, such as block onset, more than a few of days in advance.

The aim of my research is to investigate the nature of regime changes, such as block onset, using the Ensemble Prediction System at the European Centre for Medium-range Weather Forecasting (ECMWF).

The Ensemble Prediction System

Numerical forecasts are 'deterministic', that is to say that, given an initial state of the atmosphere, a forecast model can be run forward in time to produce one forecast of the state of the atmosphere at some future time. However, after a few days, errors in the specification of the initial atmospheric state may start to dominate the forecast such that it is no longer useful. The Ensemble Prediction System (EPS) at ECMWF is intended to extend the range of usefulness of numerical forecasts by exploring the concept of 'probabilistic forecasting'. The main idea behind the EPS is to take into consideration the uncertainties in the description of the initial atmospheric state, exploring what role they may play in the development of the forecast.

To simulate the effects of possible analysis errors, the basic analysis is slightly modified, or 'perturbed', in sensitive areas identified by the system depending on the current flow pattern. The perturbations are then combined to form 25 different perturbation patterns. By just reversing the signs, another 25 mirrored patterns are created, thereby creating 50 slightly different initial analyses and 50 possible forecasts of the future state of the atmosphere.

The EPS forecasts can be used as a measure of the predictability of the atmosphere or as an indicator of possible alternative atmospheric developments. They may also be used to produce local probabilistic forecasts of weather parameters.

PV/PT diagnostics

Before considering changes in weather regime, it is first necessary to be able to define each regime in an objective way. In order to do this, I am using 'potential vorticity' (PV) and 'potential temperature' (PT) as diagnostics. Potential vorticity is a useful variable for two reasons. Firstly, PV may be used as a Lagrangian tracer as it is 'quasi-conserved' on isentropic surfaces (surface of constant PT) for periods of up to a week or so. Similarly, PT is quasi-conserved on PV surfaces. Secondly, one can deduce diagnostically the complete flow structure from the spatial distribution of PV. This is known as the 'invertibility principle'.

As an example of PV/PT diagnostics, the figure below shows the analysed field of PT on PV=2 corresponding to the 250mb height field in the previous figure. The blocking high over the UK is associated with a positive potential temperature anomaly. In fact, the 250mb height field appears very much as a highly smoothed version of the PT on PV=2 map. This is a common property of such maps, and is particularly notable away from the earth's surface, as in this case.

PT on PV=2 map of a Euro-Atlantic block

Using PV/PT diagnostics, I have defined a 'blocking index' B, which is described in the next section.

A PV/PT blocking index

The general westerly flow at upper levels in the extratropics is associated with a negative latitudinal gradient in PT on a PV surface. During a blocking episode, this gradient tends to be reversed, with high PT to the north and low PT to the south in the region of the block. Therefore, we may define our blocking index B at a reference longitude as the difference in mean potential temperature between high and low latitudes relative to that longitude:

B = mean PT in northern area - mean PT in southern area

where the northern and southern areas refer to the relative locations of the averaging areas.

The figure below shows a plot of B against longitude calculated from the potential temperature field shown above. This figure indicates that B>0 from 10 degrees W to about 35 degrees E, so this region may be instantaneously defined as blocked. Blocking 'episodes' can be defined by B>0 over a range of longitudes for a certain number of days. In the case of the block shown here, B>0 from September 20 to 24 over at least 30 degrees of longitude (or thereabouts).

Blocking index against longitude plot

Future work

The work presented here pertains to a case study of a blocking episode which started on 20 September 1998. Just before the onset of this block, the ECMWF EPS had significant forecasting problems such that the 5- and 6-day forecasts of September 18 showed a huge drop in skill. This is depicted in below in terms of the 'anomaly correlation coefficient' of the 500mb geopotential height over Europe for the forecast of September 13. Some of the 4-day EPS forecasts showed considerably more skill, although September 18 still presented a 'predictability barrier'. By examining individual EPS member forecasts I hope to gain some insight into what caused this predictability barrier and perhaps gain some information on the nature of perturbations that are most likely to cause a transition to a blocked regime.

500mb ACC against lead time for EPS forecast of September 13

Having analysed the data from this case study, I intend to look at further case studies, including cases where the EPS has performed particularly well. After sufficient case studies, I hope to be able to refine my blocking index to be able to define blocking generally in terms of PT on the PV=2 surface. In the longer term, I also intend to consider regimes other than blocking.

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