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<strong>Predictability</strong> <strong>of</strong> <strong>weather</strong> <strong>regimes</strong><br />

<strong>in</strong> <strong>ECMWF</strong> <strong>Forecasts</strong><br />

Dan Rowlands, Warwick Norton<br />

Cumulus, PCE Investors, London


Cumulus<br />

• Hedge fund founded <strong>in</strong> 2006.<br />

• $165m assets under management (pension funds, fund <strong>of</strong> funds, <strong>in</strong>dividual<br />

<strong>in</strong>vestors).<br />

• Two funds – Cumulus Energy, Cumulus Fahrenheit (<strong>weather</strong> derivaPves)<br />

• Returns uncorrelated with other asset classes<br />

• Team <strong>of</strong> 9 traders/analysts – recently jo<strong>in</strong>ed aTer D.Phil at Oxford work<strong>in</strong>g on<br />

climatepredicPon.net<br />

• Max charge <strong>ECMWF</strong> user – makes use <strong>of</strong> determ<strong>in</strong>isPc, EPS, monthly,<br />

h<strong>in</strong>dcasts, seasonal, reanalysis.<br />

• We try to validate everyth<strong>in</strong>g we use (run daily set <strong>of</strong> validaPon staPsPcs)


<strong>European</strong> energy markets and <strong>weather</strong><br />

• German power<br />

– demand sensiPve to temperature (parPcularly cold temperatures)<br />

– supply sensiPve to high temperature (can restrict use <strong>of</strong> Nuclear), w<strong>in</strong>d<br />

(29 GW <strong>of</strong> capacity), solar (24 GW <strong>of</strong> capacity), precip for hydro <strong>in</strong> the<br />

Alps<br />

• Nordic Power<br />

– demand sensiPve to temperature<br />

– hydro supplies 61% Norway, 33% Sweden electricity (need to manage<br />

water stored <strong>in</strong> reservoirs, model snow accumulaPon/melt etc)<br />

– Danish w<strong>in</strong>d<br />

• UK Power & Gas<br />

– demand sensiPve to temperature, cloud cover<br />

– Onshore & <strong>of</strong>fshore w<strong>in</strong>d


<strong>European</strong> energy markets and <strong>weather</strong><br />

• Consequently there is a huge price sensiPvity to the <strong>weather</strong>.<br />

• Example from the EEX market.


Outl<strong>in</strong>e<br />

• Weather <strong>regimes</strong><br />

• A recent example – Apr 2012<br />

• Can we detect flow dependent skill/predictability?<br />

– IniPal condiPons – regime/MJO<br />

– Stratospheric forc<strong>in</strong>g<br />

• Thoughts on h<strong>in</strong>dcast methodology<br />

– Surface temperature calibraPon<br />

• Conclusions


Weather Regimes<br />

• Simplified way <strong>in</strong>terprePng large<br />

scale synopPc situaPon.<br />

• Standard methodology us<strong>in</strong>g<br />

cluster<strong>in</strong>g algorithm <strong>in</strong> reduced<br />

dimension space us<strong>in</strong>g z500 from<br />

ERA‐Interim over 20N‐80N and<br />

90E‐60W.<br />

• AddiPon <strong>of</strong> UKR (w<strong>in</strong>ter) and CLIMO<br />

<strong>regimes</strong>.<br />

• Set <strong>of</strong> <strong>regimes</strong> for each month to<br />

account for seasonality.<br />

CLIMO regime useful for transiPon days<br />

NAO‐: NegaPve North AtlanPc OscillaPon<br />

NAO+: PosiPve North AtlanPc OscillaPon<br />

SB: Scand<strong>in</strong>avian Block<strong>in</strong>g<br />

AR: AtlanPc Ridge<br />

UKR: UK Ridge<br />

CLIMO: Climatology


Weather Regimes (seasonality)<br />

W<strong>in</strong>ter<br />

Spr<strong>in</strong>g


Weather Regimes (seasonality)<br />

UKR/SB move west<br />

through the<br />

seasonal cycle<br />

Spr<strong>in</strong>g<br />

Summer


Frequency<br />

0 10 20 30 40 50<br />

Weather Regime DuraPon<br />

era−<strong>in</strong>terim z500 Jan NAO− 6.8 days<br />

era−<strong>in</strong>terim z500 Jan NAO+ 5.5 days<br />

Frequency<br />

0 10 20 30 40 50<br />

0 10 20 30 40 50<br />

0 10 20 30 40 50<br />

Regime Duration<br />

Regime Duration<br />

era−<strong>in</strong>terim z500 Jan SB 3.75 days<br />

era−<strong>in</strong>terim z500 Jan AR 4.63 days<br />

Extended w<strong>in</strong>ter ‐<br />

NDJFM<br />

Frequency<br />

0 10 20 30 40 50<br />

Frequency<br />

0 10 20 30 40 50<br />

0 10 20 30 40 50<br />

0 10 20 30 40 50<br />

Regime Duration<br />

Regime Duration<br />

era−<strong>in</strong>terim z500 Jan UKR 3.77 days<br />

era−<strong>in</strong>terim z500 Jan CLIMO 2.03 days<br />

Frequency<br />

0 10 20 30 40 50<br />

Frequency<br />

0 10 20 30 40 50<br />

0 10 20 30 40 50<br />

0 10 20 30 40 50<br />

Regime Duration<br />

Regime Duration


Weather Regimes – NAO+ DJF<br />

t2m Mean t2m 10 th PercenPle t2m 90 th PercenPle


Weather Regimes – NAO‐ DJF<br />

t2m Mean t2m 10 th PercenPle t2m 90 th PercenPle


Weather Regimes – SB DJF<br />

t2m Mean t2m 10 th PercenPle t2m 90 th PercenPle


Weather Regimes – UKR DJF<br />

t2m Mean t2m 10 th PercenPle t2m 90 th PercenPle


2011/2012 <strong>regimes</strong><br />

Temperature (deg C)<br />

−4 −2 0 2 4 6 8 10 12 14<br />

London tavg 20111201 − 20120430<br />

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

NAO−<br />

NAO+<br />

SB<br />

AR<br />

UKR<br />

CLIMO<br />

Dec Jan Feb Mar Apr<br />

Date


LimitaPons <strong>of</strong> <strong>weather</strong> <strong>regimes</strong> – Jan 2011<br />

Cumulative Prob<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

00Z eps z500 20110108<br />

! ! ! ! ! ! ! ! ! ! !<br />

11 10 9 8 7 6 5 4 3 2 1<br />

Lead (days)<br />

• All EPS forecasts from late December 2010 <strong>in</strong>dicated correct NAO‐ regime.<br />

• But, big shiT <strong>in</strong> London tavg around lead 6 (3 rd Jan).


Lead 9<br />

Lead 6<br />

LimitaPons <strong>of</strong> <strong>weather</strong> <strong>regimes</strong> – Jan 2011<br />

20 30 40 50 60 70 80<br />

20 30 40 50 60 70 80<br />

350<br />

300<br />

100<br />

−150<br />

−50<br />

250<br />

−200<br />

200<br />

50<br />

−100<br />

150<br />

−50<br />

−100<br />

−80 −60 −40 −20 0 20 40 60<br />

200<br />

<strong>ECMWF</strong> 00Z eps z500 2010123100 08 − 08 Jan lead = 9 day cor= 0.873<br />

−250<br />

−100<br />

−150<br />

−50<br />

50<br />

200<br />

50<br />

150<br />

<strong>ECMWF</strong> 00Z eps z500 2011010300 08 − 08 Jan lead = 6 day cor= 0.926<br />

300<br />

350<br />

250<br />

0<br />

−100<br />

50<br />

50<br />

100<br />

100<br />

0<br />

−50<br />

−50<br />

100<br />

0<br />

150<br />

100<br />

OperaPonal Analysis<br />

OperaPonal Analysis<br />

Lead 3<br />

20 30 40 50 60 70 80<br />

−80 −60 −40 −20 0 20 40 60<br />

−300<br />

−100<br />

−150<br />

−200<br />

−50<br />

250<br />

200<br />

0<br />

150<br />

<strong>ECMWF</strong> 00Z eps z500 2011010600 08 − 08 Jan lead = 3 day cor= 0.96<br />

300<br />

400<br />

350<br />

−150<br />

−80 −60 −40 −20 0 20 40 60<br />

−100<br />

50<br />

0<br />

150<br />

−50<br />

50<br />

100<br />

100<br />

150<br />

50<br />

ShiT from N/NE to SW flow<br />

for London <strong>in</strong> forecasts aTer<br />

lead 6.


April 2012<br />

• Dom<strong>in</strong>ated by AR regime (19/30 days).<br />

• Coldest April for 23‐years (UKMO).<br />

• <strong>Forecasts</strong> all struggled keep<strong>in</strong>g the cold air over the UK.<br />

London tavg 20120401 − 20120430<br />

! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !<br />

Temperature (deg C)<br />

4 6 8 10 12 14<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

NAO−<br />

NAO+<br />

SB<br />

AR<br />

UKR<br />

CLIMO<br />

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29<br />

Date


April 2012‐ Monthly 20120329<br />

Monthly days 12‐18 (9‐15 th April)<br />

OperaPonal Analysis


April 2012‐ Monthly 20120402<br />

Monthly days 19‐25 (20 th ‐26 th April)<br />

Forecast couldn’t persist the AR, preferr<strong>in</strong>g to develop a<br />

SB like panern.<br />

OperaPonal Analysis


<strong>ECMWF</strong> Monthly <strong>Forecasts</strong><br />

• Issued every Monday/Thursday (as <strong>of</strong> Nov 2011).<br />

• 51 ensemble members out to 32 days.<br />

• Every Thursday 18‐year 5 member h<strong>in</strong>dcast produced.<br />

• We have been try<strong>in</strong>g to start to understand state/flow dependent skill/<br />

predictability us<strong>in</strong>g the h<strong>in</strong>dcast data set.<br />

• Considered all forecasts from monthly system s<strong>in</strong>ce resoluPon change<br />

~Feb 2010 up to April 2012.<br />

• ~2000 forecasts from the h<strong>in</strong>dcast set and ~140 from the monthly. Focus<br />

on h<strong>in</strong>dcasts <strong>in</strong>iPally.


H<strong>in</strong>dcast skill through Pme<br />

Days 5‐11<br />

Days 12‐18<br />

Days 19‐25<br />

Days 26‐32<br />

Pattern Correlation<br />

−0.2 0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 Pattern Correlation 1992021100 − 2011032900 roll<strong>in</strong>g 20 mean<br />

1992 1994 1996 1998 2000 2002 2004 2006 2008 2010<br />

Forecast Start Date<br />

Panern correlaPon <strong>of</strong> the ensemble mean with ERA‐<strong>in</strong>terim.<br />

N AtlanPc/<strong>European</strong> Doma<strong>in</strong> (20‐80N, 90E‐60W).<br />

Days 11‐18 and 19‐25 have ~4 Pmes variance <strong>in</strong> performance.


Seasonal cycle <strong>of</strong> skill<br />

Days 5‐11<br />

Days 12‐18<br />

Days 19‐25<br />

Days 26‐32<br />

Pattern correlation<br />

−0.2 0.0 0.2 0.4 0.6 0.8 1.0<br />

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec<br />

Month<br />

Higher skill <strong>in</strong> w<strong>in</strong>ter, especially days 12‐18 and 19‐25,<br />

somewhat driven by persistence <strong>in</strong> w<strong>in</strong>ter.


Monthly Forecast Skill – Feb 2010 onwards<br />

Days 5‐11<br />

Days 12‐18<br />

Days 19‐25<br />

Days 26‐32<br />

Pattern correlation<br />

−0.2 0.0 0.2 0.4 0.6 0.8 1.0<br />

monthly z500 Pattern correlation 2010021100 − 2012041900 roll<strong>in</strong>g 10 mean<br />

Feb Jun Oct Feb Jun Oct Feb<br />

Forecast Start Date<br />

Skill generally higher than h<strong>in</strong>dcasts, likely due to bener<br />

filter <strong>of</strong> the ensemble mean from larger ensemble size.


State/flow dependent skill<br />

• Can we f<strong>in</strong>d parPcular <strong>regimes</strong>/states where skill is higher/lower <strong>in</strong> the<br />

forecasts? Or is skill simply a random process?<br />

• We have started with a few basic hypotheses, for which we have<br />

disaggregated forecasts.<br />

– IniPal and verify<strong>in</strong>g regime l<strong>in</strong>k<strong>in</strong>g through to regime transiPons.<br />

– MJO strength and phase l<strong>in</strong>k<strong>in</strong>g to tropical forc<strong>in</strong>g.<br />

– Stratospheric forc<strong>in</strong>g <strong>in</strong> <strong>in</strong>iPal condiPons.<br />

• Focus on w<strong>in</strong>ter forecasts (Nov‐March) where signals/teleconnecPons are<br />

strongest and days 12‐18 and 19‐25.<br />

• Ensemble size <strong>of</strong> h<strong>in</strong>dcast set (5) prevents sensible applicaPon <strong>of</strong> probabilisPc<br />

scores – consider the ensemble mean and most frequent regime verify<strong>in</strong>g.


Skill by <strong>in</strong>iPal regime – days 12‐18<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 12 − 18<br />

918 176 225 145 209 163<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

ir.NAO−<br />

ir.NAO+<br />

ir.SB<br />

ir.AR<br />

ir.UKR<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 12 − 18<br />

918 176 225 145 209 163<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

ir.NAO−<br />

ir.NAO+<br />

ir.SB<br />

ir.AR<br />

ir.UKR<br />

NAO‐ NAO+ SB AR UKR NAO‐ NAO+ SB AR UKR<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Skill by <strong>in</strong>iPal regime – days 19‐25<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 19 − 25<br />

918 176 225 145 209 163<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

ir.NAO−<br />

ir.NAO+<br />

ir.SB<br />

ir.AR<br />

ir.UKR<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 19 − 25<br />

918 176 225 145 209 163<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

ir.NAO−<br />

ir.NAO+<br />

ir.SB<br />

ir.AR<br />

ir.UKR<br />

NAO‐ NAO+ SB AR UKR NAO‐ NAO+ SB AR UKR<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Skill by verify<strong>in</strong>g regime – days 12‐18<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 12 − 18<br />

918 179 229 150 207 153<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

vr.NAO−<br />

vr.NAO+<br />

vr.SB<br />

vr.AR<br />

vr.UKR<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 12 − 18<br />

918 179 229 150 207 153<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

vr.NAO−<br />

vr.NAO+<br />

vr.SB<br />

vr.AR<br />

vr.UKR<br />

NAO‐ NAO+ SB AR UKR NAO‐ NAO+ SB AR UKR<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Skill by verify<strong>in</strong>g regime – days 19‐25<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 19 − 25<br />

918 184 230 154 197 153<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

vr.NAO−<br />

vr.NAO+<br />

vr.SB<br />

vr.AR<br />

vr.UKR<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 19 − 25<br />

918 184 230 154 197 153<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

vr.NAO−<br />

vr.NAO+<br />

vr.SB<br />

vr.AR<br />

vr.UKR<br />

NAO‐ NAO+ SB AR UKR NAO‐ NAO+ SB AR UKR<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Persistent forecasts – days 12‐18<br />

IniPal and verify<strong>in</strong>g regime are the same<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 12 − 18<br />

918 61 73 25 79 32<br />

−60 −40 −20 0 20 40 60<br />

overall<br />

iRp.NAO−<br />

iRp.NAO+<br />

iRp.SB<br />

iRp.AR<br />

iRp.UKR<br />

% difference on Overall<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 12 − 18<br />

918 61 73 25 79 32<br />

−60 −40 −20 0 20 40 60<br />

overall<br />

iRp.NAO−<br />

iRp.NAO+<br />

iRp.SB<br />

iRp.AR<br />

iRp.UKR<br />

% difference on Overall<br />

NAO‐ NAO+ SB AR UKR NAO‐ NAO+ SB AR UKR<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Regime transiPons – days 12‐18<br />

IniPal and and verify<strong>in</strong>g regime are are different<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 12 − 18<br />

918 115 152 120 130 131<br />

−60 −40 −20 0 20 40 60<br />

overall<br />

iRd.NAO−<br />

iRd.NAO+<br />

iRd.SB<br />

iRd.AR<br />

iRd.UKR<br />

% difference on Overall<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 12 − 18<br />

918 115 152 120 130 131<br />

−60 −40 −20 0 20 40 60<br />

overall<br />

iRd.NAO−<br />

iRd.NAO+<br />

iRd.SB<br />

iRd.AR<br />

iRd.UKR<br />

% difference on Overall<br />

NAO‐ NAO+ SB AR UKR NAO‐ NAO+ SB AR UKR<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


MJO<br />

+ days 5‐11<br />

Phase 3<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 3 day 5 − 11 n = 444<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 3 day 12 − 18 n = 444<br />

NAO− NAO+ SB AR UKR CLIMO<br />

+ days 12‐18<br />

Regime<br />

Regime<br />

+ days 19‐25<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 3 day 19 − 25 n = 444<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 3 day 26 − 32 n = 444<br />

+ days 26‐32<br />

NAO− NAO+ SB AR UKR CLIMO<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Regime<br />

Cassou 2008 found phase 3 + 6 <strong>in</strong>iPate NAO+ and NAO‐ respecPvely <strong>in</strong> w<strong>in</strong>ter<br />

(Nov‐March here for ERA‐Interim).<br />

Regime


MJO<br />

+ days 5‐11<br />

Phase 6<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 6 day 5 − 11 n = 377<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 6 day 12 − 18 n = 377<br />

NAO− NAO+ SB AR UKR CLIMO<br />

+ days 12‐18<br />

Regime<br />

Regime<br />

+ days 19‐25<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 6 day 19 − 25 n = 377<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim z500 3 MJO phase 6 day 26 − 32 n = 377<br />

+ days 26‐32<br />

NAO− NAO+ SB AR UKR CLIMO<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Regime<br />

Cassou 2008 found phase 3 + 6 <strong>in</strong>iPate NAO+ and NAO‐ respecPvely <strong>in</strong> w<strong>in</strong>ter<br />

(Nov‐March here for ERA‐Interim).<br />

Regime


IniPal MJO phase – days 12‐18<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 12 − 18<br />

918 344 53 73 100 75 74 71 70 58<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

iMJO.0<br />

iMJO.1<br />

iMJO.2<br />

iMJO.3<br />

iMJO.4<br />

iMJO.5<br />

iMJO.6<br />

iMJO.7<br />

iMJO.8<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 12 − 18<br />

918 344 53 73 100 75 74 71 70 58<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

iMJO.0<br />

iMJO.1<br />

iMJO.2<br />

iMJO.3<br />

iMJO.4<br />

iMJO.5<br />

iMJO.6<br />

iMJO.7<br />

iMJO.8<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


MJO – phase 7 + 8<br />

+ days 12‐18 + days 19‐25<br />

Phase 7<br />

Phase 8<br />

In days 12‐18 and 19‐25 aTer phase 7+8 tendency for NAO‐ (ow<strong>in</strong>g to <strong>in</strong>iPaPon <strong>in</strong><br />

phase 6 and Pmescale <strong>of</strong> MJO propagaPon?).


Stratospheric forc<strong>in</strong>g<br />

ERA‐<strong>in</strong>terim DJF.<br />

Coldest 10% <strong>of</strong> stratospheric<br />

temperatures.<br />

NAO+/AR response.<br />

ERA‐<strong>in</strong>terim DJF.<br />

Warmest 10% <strong>of</strong> stratospheric<br />

temperatures.<br />

NAO‐ response.<br />

Def<strong>in</strong>e through 100hPa temperatures poleward <strong>of</strong> 70N (Mark Baldw<strong>in</strong>, Exeter)


Stratospheric forc<strong>in</strong>g ‐ <strong>regimes</strong><br />

ERA‐<strong>in</strong>terim DJF<br />

Coldest 10% <strong>of</strong> days,<br />

NAO+/AR response<br />

ERA‐<strong>in</strong>terim DJF<br />

Warmest 10% <strong>of</strong> days,<br />

NAO‐ response.


Stratospheric forc<strong>in</strong>g ‐ persistence<br />

+ days 5‐11<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan −6.34 deg 10 % day 5 − 11 n = 295<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan −6.34 deg 10 % day 12 − 18 n = 295<br />

+ days 12‐18<br />

NAO− NAO+ SB AR UKR CLIMO<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Regime<br />

Regime<br />

+ days 19‐25<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan −6.34 deg 10 % day 19 − 25 n = 295<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan −6.34 deg 10 % day 26 − 32 n = 295<br />

+ days 26‐32<br />

NAO− NAO+ SB AR UKR CLIMO<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Regime<br />

Regime<br />

ERA‐Interim. Coldest 10% <strong>of</strong> stratospheric temperatures.<br />

Avg duraPon ~ 9 days


Stratospheric forc<strong>in</strong>g ‐ persistence<br />

+ days 5‐11<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan 8.36 deg 90 % day 5 − 11 n = 295<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan 8.36 deg 90 % day 12 − 18 n = 295<br />

+ days 12‐18<br />

NAO− NAO+ SB AR UKR CLIMO<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Regime<br />

Regime<br />

+ days 19‐25<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan 8.36 deg 90 % day 19 − 25 n = 295<br />

Frequency <strong>of</strong> occurence<br />

0.0 0.1 0.2 0.3 0.4 0.5 0.6<br />

Obs<br />

Climo<br />

era−<strong>in</strong>terim t100 Jan 8.36 deg 90 % day 26 − 32 n = 295<br />

+ days 26‐32<br />

NAO− NAO+ SB AR UKR CLIMO<br />

NAO− NAO+ SB AR UKR CLIMO<br />

Regime<br />

Regime<br />

ERA‐Interim Warmest 10% <strong>of</strong> stratospheric temperatures.<br />

Average duraPon ~ 11 days.<br />

Persistence <strong>of</strong> NAO‐ regime.


Stratospheric forc<strong>in</strong>g – warm<strong>in</strong>g events<br />

ERA‐Interim<br />

H<strong>in</strong>dcast<br />

12‐18<br />

19‐25<br />

Model able to persist the NAO‐ panern (i.e. stratospheric anomaly?) dur<strong>in</strong>g<br />

warm stratosphere events (<strong>in</strong> a composite sense).<br />

But, only see<strong>in</strong>g ~20 events given persistence – look at t100 skill?


Stratospheric forc<strong>in</strong>g – cold events<br />

ERA‐Interim<br />

H<strong>in</strong>dcast<br />

12‐18<br />

19‐25<br />

More complex regime picture for cold stratosphere events.<br />

AR/UKR response, weakly picked up by model.<br />

Sets up preference for NAO+ ‐> AR/UKR transiPon?


Stratospheric forc<strong>in</strong>g skill scores – days 12‐18<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 12 − 18<br />

918 102 112<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

t100.high<br />

t100.low<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 12 − 18<br />

918 102 112<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

overall<br />

t100.high<br />

t100.low<br />

Warm t100 Cold t100<br />

Warm t100 Cold t100<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Stratospheric forc<strong>in</strong>g skill scores – days 19‐25<br />

cor<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 cor w<strong>in</strong>ter days 19 − 25<br />

918 102 112<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

fcst.highest<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

h<strong>in</strong>dcast z500 fcst.highest w<strong>in</strong>ter days 19 − 25<br />

918 102 112<br />

overall<br />

t100.high<br />

t100.low<br />

overall<br />

t100.high<br />

t100.low<br />

−60 −40 −20 0 20 40 60<br />

% difference on Overall<br />

Warm t100 Cold t100<br />

Warm t100 Cold t100<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

Blue = Forecast staPsPc<br />

% improvement vs full set<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty<br />

% <strong>of</strong> correctly<br />

forecasted regime


Monthly Forecast Skill scores<br />

Pattern Correlation<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

monthly z500 Pattern Correlation w<strong>in</strong>ter n = 71<br />

Brier Skill Score<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

monthly z500 Brier Skill Score w<strong>in</strong>ter n = 71<br />

5 − 11 12 − 18 19 − 25 26 − 32<br />

5 − 11 12 − 18 19 − 25 26 − 32<br />

Day range<br />

Day range<br />

Panern CorrelaPon <strong>of</strong><br />

ensemble mean<br />

W<strong>in</strong>ter <strong>Forecasts</strong> (71 <strong>in</strong> total), validaPng over 20N‐80N and 90E‐60W.<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty.<br />

Brier Skill Score on<br />

regime frequencies


Monthly Forecast Skill scores<br />

Brier Skill Score on<br />

<strong>in</strong>dividual regime<br />

frequencies<br />

Brier Skill Score<br />

!0.2 0.0 0.2 0.4 0.6 0.8 1.0<br />

monthly z500 Brier Skill Score w<strong>in</strong>ter n = 71<br />

5 ! 11 12 ! 18 19 ! 25 26 ! 32<br />

NAO!<br />

NAO+<br />

SB<br />

AR<br />

UKR<br />

But, period not<br />

necessarily<br />

representaPve <strong>of</strong><br />

climatology (more<br />

NAO‐, UKR, less<br />

NAO+). So scores<br />

may overstate skill.<br />

Poor skill for SB<br />

regime<br />

Day range<br />

W<strong>in</strong>ter <strong>Forecasts</strong> (71 <strong>in</strong> total), validaPng over 20N‐80N and 90E‐60W.<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty.


Monthly Forecast – is it persistence?<br />

Forecast ‐ solid<br />

Persistence <strong>of</strong> day 1<br />

regime ‐ dashed<br />

Brier Skill Score<br />

!0.4 !0.2 0.0 0.2 0.4 0.6 0.8 1.0<br />

!<br />

monthly z500 Brier Skill Score w<strong>in</strong>ter n = 71<br />

!<br />

!<br />

!<br />

NAO!<br />

NAO+<br />

5 ! 11 12 ! 18 19 ! 25 26 ! 32<br />

!<br />

Day range<br />

W<strong>in</strong>ter <strong>Forecasts</strong> (71 <strong>in</strong> total), validaPng over 20N‐80N and 90E‐60W.<br />

Bars show 10‐90% sampl<strong>in</strong>g uncerta<strong>in</strong>ty.


Thoughts on h<strong>in</strong>dcasts for calibraPon<br />

• A key task for Cumulus is produc<strong>in</strong>g staPon forecasts for major ciPes<br />

necessary for demand forecasts and <strong>weather</strong> derivaPves<br />

• This requires calibraPon <strong>of</strong> model variables.<br />

• Challenge how do to this with clear seasonality <strong>in</strong> some locaPons and<br />

usually


Las Vegas H<strong>in</strong>dcast v EPS forecasts<br />

lasvegas tmax box 1 day 1 H<strong>in</strong>dcast − EPS mean<br />

H<strong>in</strong>dcast − EPS<br />

EPS_5member − EPS<br />

−3 −2 −1 0 1 2<br />

−3 −2 −1 0 1 2<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!!<br />

!<br />

!<br />

!<br />

!<br />

!! ! !<br />

!<br />

! ! !<br />

!<br />

!<br />

!<br />

!<br />

!<br />

! ! !<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

Feb Apr Jun Aug Oct Dec Feb Apr Jun<br />

!<br />

Fcst<br />

Climo<br />

! !<br />

!<br />

!<br />

!<br />

!<br />

Date<br />

lasvegas tmax box 1 day 1 EPS_5member − EPS mean % out = 84.5 % target = 10 %<br />

!<br />

!<br />

! ! !<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

! !<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

! !<br />

• Large differences <strong>in</strong> tmax between<br />

EPS and h<strong>in</strong>dcast on the same date<br />

(& tm<strong>in</strong>).<br />

• Not expla<strong>in</strong>ed by differences <strong>in</strong><br />

model climatology (blue).<br />

• Not an ensemble size issue (>80% <strong>of</strong><br />

biases outside the 5‐95% range due<br />

to sampl<strong>in</strong>g uncerta<strong>in</strong>ty from EPS<br />

with 5 member ensemble).<br />

• Should we expect them to be the<br />

same? Different model cycle,<br />

<strong>in</strong>iPalizaPon and ensemble<br />

perturbaPon method.<br />

• Similar f<strong>in</strong>d<strong>in</strong>g for other locaPons.<br />

!<br />

!<br />

!<br />

0 10 20 30 40 50 60 70<br />

ID by sorted sampl<strong>in</strong>g range


Conclusions<br />

• We f<strong>in</strong>d <strong>weather</strong> <strong>regimes</strong> are a useful tool for to simplify the high dimensional output<br />

produced by the EPS/monthly/seasonal system.<br />

• Analysis <strong>of</strong> skill from h<strong>in</strong>dcast set reveals that persistence <strong>of</strong> <strong>regimes</strong> (especially NAO+/‐) is<br />

generally bener forecast than transiPons. We f<strong>in</strong>d l<strong>in</strong>le <strong>in</strong>fluence from the MJO on skill, whilst<br />

the presence (persistence) <strong>of</strong> stratospheric forc<strong>in</strong>g is quite well captured by the model.<br />

• BUT: monthly system limited by number <strong>of</strong> forecasts, h<strong>in</strong>dcast system limited by ensemble<br />

size hence large uncerta<strong>in</strong>ty and rather tentaPve conclusions (aga<strong>in</strong>st the null hypothesis <strong>of</strong><br />

skill be<strong>in</strong>g a random process).<br />

– Larger & longer h<strong>in</strong>dcast ensembles? Welcome the extension to 20‐years <strong>in</strong> cycle 38r1.<br />

– 5 ensemble members makes probabilisPc evaluaPon tricky.<br />

– Look at <strong>in</strong>sights from EPS for day 10 onwards given larger sample size.<br />

• However, for site specific forecasts, given high sensiPviPes, <strong>regimes</strong> may be an<br />

oversimplificaPon.<br />

• We would welcome more research/clarity on impact <strong>of</strong> the different <strong>in</strong>iPalizaPon on h<strong>in</strong>dcast<br />

surface temperature forecasts.


April 2012<br />

• Dom<strong>in</strong>ated by AR regime (19/30 days).<br />

• Coldest April for 23‐years (UKMO).<br />

• <strong>Forecasts</strong> all struggled keep<strong>in</strong>g the cold air over the UK.<br />

Analysis<br />

Forecast


December 2011<br />

RMM2<br />

−4 −3 −2 −1 0 1 2 3 4<br />

!<br />

!<br />

!<br />

!<br />

!<br />

monthly 2011120100 MJO RMM1&2 cor = 0.826 rmse/clim_rmse = 0.57<br />

8<br />

1<br />

day1<br />

day5<br />

day10<br />

day15<br />

day20<br />

7<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

! !<br />

! !<br />

!<br />

!<br />

!<br />

!<br />

! ! ! !<br />

! !!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

! ! ! ! !<br />

!<br />

! !<br />

!<br />

!<br />

!!<br />

!!<br />

! !! ! !<br />

!<br />

!!<br />

!<br />

! !<br />

! !!!!!<br />

! !!<br />

! ! ! !<br />

! ! ! !<br />

!<br />

!<br />

!<br />

!!<br />

! !<br />

!<br />

!<br />

!<br />

!<br />

! !<br />

!<br />

!<br />

!<br />

!<br />

! !!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

! !<br />

!<br />

!<br />

!<br />

!<br />

!<br />

!<br />

2 3<br />

6<br />

5<br />

4<br />

−4 −3 −2 −1 0 1 2 3 4<br />

RMM1<br />

Not a parPcularly “<strong>in</strong>teresPng” MJO event, but did persistent convecPon <strong>in</strong> the<br />

Indian Ocean give rise to persistent NAO+/UKR regime?


December 2011 – Monthly 20111512


December 2011<br />

Week 3 20111201 Week 3 20111201 Week 2 20111215<br />

<strong>Forecasts</strong> performed well <strong>in</strong> general, captur<strong>in</strong>g the persistence <strong>of</strong> the NAO+<br />

regime.

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