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Non-Stationarity in the circulation-climate relationship
Stability of NAO-Influence on the Regional Climate of the Baltic Sea Area
Possible Effects on NAO-Reconstructions?
(1) GKSS Research Center Geesthacht – Institute for Coastal Research – System Analysis and Modeling(2) Göteborg University – Earth Sciences Center – Ocean Climate Group
(1) Frederik Schenk, Sebastian Wagner, Eduardo Zorita(1) Frederik Schenk, Sebastian Wagner, Eduardo Zorita
(2) Daniel Hansson(2) Daniel Hansson
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Outline
1 Non-Stationarity in Observations1 Non-Stationarity in Observations
- spatiotemporal changes of NAO-control on regional climate
2 Non-Stationarity in Climate Model Simulations2 Non-Stationarity in Climate Model Simulations
- temporal evolution of the NAO-t2m-relationship over 990 years
3 Idealized pseudo-proxy reconstruction of NAO from local-scale3 Idealized pseudo-proxy reconstruction of NAO from local-scale
4 Summary4 Summary
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Assumption of Stationarity in Climate Reconstructions
Most statistical reconstructions assume stationarity between climate circulation and regional climate impact (proxy location)
i.e. linear relationship between NAO and near-surface climate
n
kkkBaltic ttpctT
1
)()()(
Local climate = F(large-scale + x)
Regional climate orlocal proxy
Proportionalconstant
Large scalei.g. PC
Residuum notcaptured by
linear equation
physical assumption:
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First leading EOFs of 1000-1990
PCA calculates covariability matrix of SLP field anomalies
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1 Non-Stationarity in observations
The NAO – temperature relationshipThe NAO – temperature relationship
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Definition of circulation indices and T-Baltic from Echo-G and Luterbacher-SLP-reconstruction
http://www.baltex-research.eu/BACC/media/
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Detection of Non-Stationarity
Non-StationarityNon-Stationarity
=: changes in strength of a relationship between two climate variables
- expressed as Running Correlation coefficients over time (Pearson)
- window size of 31 years = RC30
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Data
Surface Temperature (t2m)Surface Temperature (t2m)
Long historical station temperatures
T-Baltic (t2m) of different AOGCM simulations from ECHO-G
MIB (MIB (MMax. sea-ax. sea-IIce extent of the ce extent of the BBaltic Sea)altic Sea)
MIB (obs.) (Seinä & Palosuo 1996)
MIB (mod.) – box-model PROBE-Baltic (Hansson & Omstedt 2007)
Circulation indicesCirculation indices
NAO of Azores minus Iceland (Jones et al. 1997)
NAO from 500 year SLP-reconstruction (Luterbacher et al. 2002)
NAO from SLP of different simulations from ECHO-G
with different forcings and initial conditions
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Time evolution of NAO-temperature relation
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64%
9%
Time evolution of NAO-temperature relation
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NAO and sea-ice (MIB)
Hansson, D. & A. Omstedt (2007): Modelling the Baltic Sea ocean climate on centennial time scale: temperature and sea ice.
Climate Dynamics 30, 763-778
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2 Non-Stationarity in Climate Model Simulations
990 year model study from AOGCM Echo-G990 year model study from AOGCM Echo-G
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Climate Model Simulations
Climate simulation as a surrogate climate:
- Model = simplified representation of „real“ processes
Idealized pseudo-reconstruction-approach:
- comparison of NAO and CEZI
- use of area weighted t2m of the Baltic catchment area for
reconstructing the NAO by simple linear regression (without
adding white noise)
- comparison with „real“ model NAO
- estimation of non-stationarity for reconstructions within the model
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Atmosphere: ECHAM4
T30 (3.75° x 3.75°) 19 vertical layers
Ocean: HOPE-G
Horizontal Resolution 2,81° x 2,81°20 vertical layersincreased tropical resolution
Model description of Echo-G
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Settings of Echo-G simulations
Control-run of 1000 model years with fixed present conditions
External forced simulations I: solar + volcanic + greenhouse Gases
ERIK1: 990-1990 A.D. starting with warm ocean as initial condition
ERIK2: 990-1990 A.D. starting with cold ocean as initial condition
External forced simulations II: + orbital forcing
Oetzi1: 7000 B.P. – 1998 A.D. with orbital forcing only
Oetzi2: 7000 B.P. – 1998 A.D. with orbital, solar and greenhouse gases (no volcanic)
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NAO vs. Baltic Sea climateexternal forced (solar, volcanic, GHG)
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NAO vs. Baltic Sea climateControl-Run
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3 Idealized pseudo-proxy reconstruction of NAO from local scale
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Idealized pseudo-reconstruction
)()()(^
ttTtNAO Baltic
estimation of NAO from pseudo-proxy
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Idealized pseudo-reconstruction
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Idealized pseudo-reconstruction
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4 Summary
Magnitude of non-stationarity for NAO-impact is high for Baltic Sea areaMagnitude of non-stationarity for NAO-impact is high for Baltic Sea area
- NAO vs. station-temperature 1824-2008 (DJF): RC30 = {10 - 65%}
- NAO vs. sea-ice (MIB) since 1500: RC30 = {0 – 64%}
- NAO vs. t2m (AOGCM) (DJF) since 1000: RC30 = {0 – 64%}
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4 Summary
Comparison of external forced simulations with control-run (990 years):
- same magnitude of non-stationarity over time with all/no forcings
- no relationship between forcing and non-stationarity
non-stationarity is mainly result of internal climate variabilitynon-stationarity is mainly result of internal climate variability
possible external influence on longer time scales (orbital changes)?
e.g. Groll et al. (2005): Changes in AO-regional-climate relationship during Eemian (125 kyr BP) compared with pre-industrial (1800 A.D.)
- significantly lower AO-t2m signal for NH winter during Eemian
- also stronger NH winter westerlies towards Europe, warmer CET
Groll, N., Widmann, M., Jones, J., Kaspar, F. & S. Lorenz (2005): Simulated relationship between regional temperatures and large-scale circulation: 125 kyr BP (Eemain) and the preindustrial periodJournal of Climate 2005, 18(19), 4032-4045
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References
Cassou, C., L. Terray, J.W. Hurrell and C. Deser (2004): North Atlantic winter climate regimes: spatial asymmetry,
stationarity with time and oceanic forcing, J. Climate, 17, 1055-1068.
Hansson, D. & A. Omstedt (2007): Modelling the Baltic Sea ocean climate on centennial time scale: temperature and sea
ice. Climate Dynamics 30, 763-778
Jacobeit, J., Beck, C. & A. Philipp (1998): Annual to Decadal Variability in Climate in Europe. Würzburger Geographische
Mauskripte, Vol. 43.
Luterbacher, J., Xoplaki, E., Dietrich, D., Rickli, R., Jacobeit, J., Beck, C., Gyalistris, D., Schmutz, C. & H. Wanner (2002):
Reconstruction of sea level pressure fields over Eastern North Atlantic and Europe back to 1500. Clim. Dyn. 18: 545-561.
Osborn, T.J., Briffa, K.R., Tett, S.F.B., Jones, P.D. and R.M. Trigo (1999): Evaluation of the North Atlantic Oscillation as
simulated by a coupled climate model. Climate Dynamics 15, 685-702.
Vicente-Serrano, S. M., and J. I. López-Moreno (2008), Nonstationary influence of the North Atlantic Oscillation on
European precipitation, J. Geophys. Res., 113.
Zorita, E. and F. González-Rouco (2002): Are temperature-sensitive proxies adequate for North Atlantic Oscillation
reconstructions? Geophysical Research Letters, 29 (14), 48-1 - 48-4.
Zorita, E., Gonzalez-Rouco, F. and S. Wagner (2009): Low-frequency response of the Arctic Oscillation to
external forcing in the past millennium. Geophysical Research Letters (submitted).
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Thank you for your attention!
Climate is what we expect,
Weather is what we get.
(after Lorenz)
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5 Outlook Principal Component Analysis
teleconnection patterns describe the low-frequency extratropical atmosphere generally in terms of space-
stationary and time-fluctuating structures
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Stability of SLP-patterns over time:Running EOF
Moving-EOF-analysis with window size a = 31years
Comparison of reference patterns (EOFs over 1000-1998) with subperiods
Field-correlation detected by |scalarproduct| of reference pattern R of the whole time period with each subperiod-EOF S yields |rR,S| = [0,1]
with
|r| = [0,1] due to orthogonality of EOFs
* Field correlations like RunCor(X,Y) of anomaly field with mean
**
*
)()(
),(,
kSR
SRk
YVarXVar
YXCovSRr k
0 kk yx
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Slides for Discussion
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Time evolution of NAO-temperature relation
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__Changes of westerly winds in the North Atlantic region_Temporal evolution of the DJF North Atlantic Oscillation Index
Zorita, E., Gonzalez-Rouco, F. and S. Wagner (2009): Low-frequency response of the Arctic Oscillation to external forcing in the past millennium.
Geophysical Research Letters (submitted).