Predictability and prediction of the North Atlantic Oscillation

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Predictability and prediction of the North Atlantic Oscillation Hai Lin Meteorological Research Division, Environment Canada Acknowledgements: Gilbert Brunet, Jacques Derome ECMWF Seminar 2010 September 6-9, 2010

Outlines Brief introduction on NAO and its impact NAO prediction on intraseasonal time scale MJO contribution; intraseasonal hindcast NAO seasonal prediction possible signal sources; potential predictability; skill in four Canadian AGCMs hindcast with a simple GCM

The NAO The NAO is one of the most important modes of atmospheric variability in the northern hemisphere The NAO has a larger amplitude in winter than in summer The NAO accounts for 31% of the variance in winter surface air temperature north of 20 N (Hurrell, 1995)

The NAO index a measure of phase and amplitude Station-based index: difference between normalized mean winter SLP anomalies at Lisbon, Portugal and Stykkisholmur, Iceland (e.g., Hurrell, 1996) Principal component (PC) based

s = P2* P1* (Hurrell, 1996)

Impact of an extreme positive NAO A stronger than normal subtropical high pressure centre and a deeper than usual Icelandic low Stronger westerly winds and storm activity across the Atlantic Ocean Warmer and wetter winter in Europe, colder and drier conditions in northeastern Canada and Greenland Influence on global warming

How is the NAO variability generated? Causes within the atmosphere: interactions among different scales and frequencies in the atmosphere Causes external to the atmosphere: Sea surface temperature (SST) anomaly in the North Atlantic Changes in ice and snow cover SST anomaly in the tropics

NAO forecasts Intraseasonal time scale impact of the MJO

The Madden-Julian Oscillation (MJO) Discovered by Madden and Julian (1971). Spectrum analysis of 10 year record of SLP at Canton, and upper level zonal wind at Singapore. Peak at 40-50 days. Dominant tropical wave on intraseasonal time scale 30-60 day period, wavenumber 1~3 propagates eastward along the equator (~5 m/s in eastern Hemisphere, and ~10 m/s in western Hemisphere) Organizes convection and precipitation

Composites of tropical Precipitation rate for 8 MJO phases, according to Wheeler and Hendon index. Xie and Arkin pentad data, 1979-2003

Lagged composites of NAO index for each MJO phase Lin et al. JCLIM, 2009

NAO Definition of the NAO: 2 nd REOF of monthly Z500 NAO index: projection of pentad Z500 anomaly onto this pattern Period: 1979-2003 Extended winter, November to April (36 pentads each winter)

Lagged probability of the NAO index Positive: upper tercile; Negative: low tercile Phase 1 2 3 4 5 6 7 8 Lag 5 35% 40% +49% +49% Lag 4 +52% +46% Lag 3 40% +46% Lag 2 +50% Lag 1 Lag 0 +45% 42% Lag +1 +47% +45% 46% Lag +2 +47% +50% +42% 41% 41% 42% Lag +3 +48% 41% 48% Lag +4 39% 48% Lag +5 41% Lin et al. (2009)

Tropical influence Lin et al. (2009)

Similar to phases 2 + 3 Correlation when PC2 leads PC1 by 2 pentads: 0.66

Normalized Z500 regression to PC2

ISO hindscast with GEM GEM clim of Canadian Meteorological Centre (CMC)-- GEMCLIM 3.2.2, 50 vertical levels and 2 o of horizontal resolution 1985-2008 3 times a month (1 st, 11 th and 21 st ) 10-member ensemble (balanced perturbation to NCEP reanalysis) NCEP SST, SMIP and CMC Sea ice, Snow cover: Dewey- Heim (Steve Lambert) and CMC 45-day integrations

NAO forecast skill extended winter Nov March tropical influence

1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 NAO forecast skill GEM forecast persistent 0 1 2 3 4 5 6 pentads

1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 NAO forecast skill ensmean: weak MJO, 106 cases ensmean: strong MJO, 254 cases membave: weak MJO membave: strong MJO 0 1 2 3 4 5 6 pentads

1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 NAO forecast skill phase8145, 119 cases phase2367, 135 cases 0 1 2 3 4 5 6 pentads

Correlation skill: averaged for pentads 3 and 4

Correlation skill: averaged for pentads 3 and 4

NAO seasonal forecasts Possible signal sources: Sea surface temperature (SST) anomaly in the North Atlantic (e.g., Rodwell et al. 1999) Changes in ice and snow cover (e.g., Cohen and Entekhabi 1999) SST anomaly in the tropics (e.g., Jia et al. 2008)

Potential predictability GEM-CLIM Two 20-year integrations 1) AMIP-type: observed SST 2) climatological SST (only annual cycle) Compare variances of these two runs

DJF Z500 MAM JJA SON Elisabeth Viktor, personal communication

Historical forecast (HFP2) 4 global models GEM: 2 x2, 50 levels AGCM2: 625 km (T32), 10 levels AGCM3: 315 km (T63), 32 levels SEF: 210 km (T95), 27 levels Once a month (beginning of each month) 4-month integrations 10 members each model Persistent SST anomaly Sea ice and snow cover anomalies relaxed to climatology 1969-2003

NAO seasonal forecast skill Lead=0: skill in late winter to spring Four models have similar performance Lead=1 month: skill drops significantly Possible explanation: skill comes from initial condition models do not have a correct response pattern in the NAO

Identify dominant forced patterns For the DJFM run: SVD analysis between November tropical Pacific SST and DJF or JFM ensemble mean Z500 The expansion coefficient of SVD2 (Z500) is significantly correlated with the observed NAO index

Leading pairs of SVD in observations November SST vs JFM z500

Leading pairs of SVD in GEM ensemble mean November SST vs JFM z500

Leading pairs of SVD in GCM3 ensemble mean November SST vs JFM z500

NAO skill of ensemble forecast Temporal correlation with DJF observed NAO index Forecast NAO index Forced SVD2 GCM2-0.13 0.30 GCM3 0.26 0.57 SEF 0.33 0.47 GEM 0.25 0.39 Lead = 0

NAO skill of ensemble forecast Temporal correlation with JFM observed NAO index Forecast NAO index Forced SVD2 GCM2-0.31 0.35 GCM3 0.27 0.43 SEF 0.12 0.42 GEM 0.20 0.31 Lead = 1 month

NAO skill of ensemble forecast Model has a biased NAO pattern The forced SVD2 pattern has a time evolution that matches well the observed NAO index can be used as a skillful forecast of the NAO index

The NAO hindcast with a simple GCM To test if a numerical model with intermediate complexity has skill in NAO seasonal forecasting

Model and experiment Primitive equation AGCM (Hall 2000) T31, 10 levels Time-independent forcing similar configuration of model forcing as in the Marshall-Molteni model, but not Q-G. No moisture equation, no interactive convection

The model forcing

The Model Forcing Forcing calculated from NCEP/NCAR reanalyses for each November and DJF of 1948-1998. Includes synthesis of all physical forcings: SST, seaice, land-surface conditions, etc.

The Experimental Protocol Perform 3-month forecasts for 51 DJFs 1948/49-1998/99. 24-member ensembles Initial conditions Dec. 1. Observations plus small-amplitude perturbations (scaled anomalies from random days in the season) Forcing Compute forcing anomaly for November. Add it to the forcing climatology of DJF. Constant through the season.

Correlation between observed and model ensemble mean indices DJF NAO PNA 51 DJFs 0.44 0.26 16 EPSO 0.68 35 NEPSO 0.46 Lead = 0 Numbers shown are those passing 0.1 significance level, and those in red passing 0.05 significance level.

Comparison with GCM2 for DJF Lead = 0 SGCM NAO PNA 26 DJFs 0.66 0.39 9 EPSO 0.70 17 NEPSO 0.65 GCM2 NAO PNA 26 DJFs 0.47 0.34 9 EPSO 0.67 17 NEPSO 0.58

Correlation between observed and model ensemble mean indices JF NAO PNA 51 JFs 0.34 16 EPSO 0.59 35 NEPSO 0.39 Lead = 1 month

Comparison with GCM2 for JF Lead = 1 month SGCM NAO PNA 26 JFs 0.58 0.43 9 EPSO 0.66 17 NEPSO 0.55 GCM2 NAO PNA 26 JFs 0.43 9 EPSO 0.84 17 NEPSO SGCM has better NAO skill than GCM2, possibly because of more realistic climatology, and forcing anomaly (more factors than GCM2)

Summary NAO intraseasonal forecast skill influenced by the MJO Some skillful NAO seasonal forecast possible in late winter and spring Seasonal forecast of NAO has biased spatial pattern, some statistical post-processing procedure can improve the skill A simple GCM has a NAO seasonal forecast skill comparable to an operational GEM forecast: importance of model climatology and representation of forcing.

References: Derome, J., H. Lin, G. Brunet, 2005: Seasonal forecasting with a simple General Circulation Model. J. Climate, 18, 597-609. Lin, H., J. Derome and G. Brunet, 2005: Correction of atmospheric dynamical seasonal forecasts using the leading ocean-forced spatial patterns. Geophys. Res. Lett., 32, L14804, doi:10.1029/2005gl023060. Lin, H., G. Brunet, and J. Derome, 2009, An observed connection between the North Atlantic Oscillation and the Madden-Julian Oscillation. J. Climate, 22, 364-380. Lin, H., G. Brunet, J. Fontecilla, 2010: Impact of the Madden-Julian Oscillation on the intraseasonal forecast skill of the North Atlantic Oscillation. Geophys. Res. Lett., in press.

Lagged composites of the NAO index Phase 1 2 3 4 5 6 7 8 Lag 5 0.39 0.28 Lag 4 0.26 0.28 Lag 3 0.29 Lag 2 0.26 Lag 1 Lag 0 0.41 Lag +1 0.26 0.27 0.26 0.25 0.35 Lag +2 0.34 0.36 0.31 0.33 0.29 Lag +3 0.35 0.35 0.41 Lag +4 0.35 0.31 Lag +5 0.27 Lin et al. (2009)