How Does the Atmosphere Respond to Extratropical SST Anomalies?
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1 How Does the Atmosphere Respond to Extratropical SST Anomalies? - the Role of Transient Eddy Feedbacks Shiling Peng NOAA - CIRES Climate Diagnostics Center, University of Colorado, Boulder, CO Collaborators: Walter Robinson (Univ. of Illinois) Martin Hoerling Shuanglin Li Jeffrey Whitaker
2 OUTLINE I. Recent studies on the atmospheric response to extratropical SST anomalies II. Mechanisms for the NAO response to the North Atlantic SST tripole 2
3 I. Recent Studies on the Atmospheric Response to Extratropical SST Anomalies (Kushnir et al. 2002). Motivations seasonal-to-decadal variability (eg. Latif and Barnett 1994; Marshall et al. 2001; Wu and Liu 2005). AGCM responses to extratropical SSTs (eg. Palmer and Sun 1985; Kushnir and Held 1996; Peng et al. 1995; 1997). Dependence on background intrinsic variability - storm tracks - LF variability (eg. Branstator 1992; 1995; Whitaker and Sardeshmukh 1998) (eg. Ting and Peng 1995; Peng and Whitaker 1999; Peng and Robinson 2001; Deser et al. 2004) 3
4 4
5 AGCM Response: Peng et al. (1997) 5
6 PW Eddy Feedback Mechanism (Peng and Whitaker 1999) SSTA => Q => Ψ H => F E => Ψ E Q: Anomalous heating (LBM) (STM) (LBM) H : F E : E : Heating-forced anomalous flow Anomalous eddy vorticity forcing Eddy-forced anomalous flow ( Schematic for the initial process!! ) 6
7 Cint=0.5 K/day 7
8 (<= highly variable!!) Cint=5m Z_ (Obs. DJF basic state; Q at 40N160E) 8
9
10 SST_forced Cint=5m Ctrl Z500 Peng and Robinson (2001) 10
11 II. Mechanisms for the NAO Response to the North Atlantic SST Tripole (Peng et al. 2002; 2003). AGCM responses. Mechanisms - symmetric response - asymmetric response 11
12 Cint=0.3K 12
13 AGCM Experiments Model: AGCM - NCEP Seasonal Forecast Model (T42L28) Experiments: => 8-month integration from Sept - Apr => INCs: Sept 1-5, => 100-member ensembles for: a) Climo SST (C) b) Climo SST + SSTA (P) c) Climo SST - SSTA (N) 13
14 Cint=10m Cint=5m 14
15 a) b) (a+b) (a-b) 15
16 Mechanisms?? => Symmetric response 16
17 Linear Model Experiments =>Maintenance of the AGCM response LBM Linear baroclinic model (J. Whitaker) (PE; T21L10) AGCM forcing => LBM => response 17
18 Cint=0.2 k/day 18
19 19
20 PW Eddy Feedback Mechanism (Peng and Whitaker 1999) SSTA => Q => Ψ H => F E => Ψ E Q: Anomalous heating (LBM) (STM) (LBM) H : F E : E : Heating-forced anomalous flow Anomalous eddy vorticity forcing Eddy-forced anomalous flow ( Schematic for the initial process!! ) 20
21 Linear Model Experiments => Mechanisms for developing the response LBM - Linear baroclinic model (J. Whitaker) (PE; T21L10) STM - Statistical storm track model (in EOF space; T21L10) Y = C yx X X - predictor vector - geopotential height Y - predictand vector - eddy vorticity forcing C yx - Covariance matrix based on AGCM intrinsic variability 21
22 22
23 Cint=0.5 K/day 23
24 24
25 Mechanisms?? => Asymmetric response 25
26 a) b) (a+b) (a-b) 26
27 PW Eddy Feedback Mechanism (Peng and Whitaker 1999) SSTA => Q => Ψ H => F E => Ψ E Q: Anomalous heating (LBM) (STM) (LBM) H : F E : E : Heating-forced anomalous flow Anomalous eddy vorticity forcing Eddy-forced anomalous flow ( Schematic for the initial process!! ) 27
28 Heating-Induced Asymmetric Response: Ψ +Q = Ψ H + Ψ NL Ψ -Q = - Ψ H + Ψ NL (or - Ψ -Q = Ψ H - Ψ NL ) Ψ H : Ψ NL : Heating-forced linear anomalous flow Nonlinearity due to Ψ H self-interaction 28
29 Under the control basic state, Ψ C, the linearized vorticity fluxes may be expressed as: ζ H / t =... - (V H ζ C + V C ζ H ) Here, the response (V H, ζ H ) corresponds to Ψ H. Under the modified basic state, Ψ C + Ψ H / 2, the linearized vorticity fluxes become: ζ +Q / t =... - (V +Q ζ C + V C ζ +Q + V H ζ H + higher order nonlinearity) Now, the response (V +Q, ζ +Q ) corresponds to the asymmetric response Ψ +Q. 29
30 a) b) (a-b) 30
31 a) b) (a-b) 31
32 Estimated AGCM Eddy-Forced Asymmetric Component 32
33 Nonlinear Eddy Feedback Mechanism SSTA => Q => Ψ +Q => F +E => Ψ +E => Ψ -Q => F -E => Ψ -E Ψ ±Q : F ±E : Ψ ±E : Heating-forced asymmetric anomalous flows (due to nonlinear self-interaction!!) Asymmetric eddy vorticity forcings Eddy-forced asymmetric anomalous flows ( Schematic for the initial process!! ) 33
34 SUMMARY 1. The SST tripole induces a NAO-like response in late-winter in the AGCM (~ m /K in Z500) that indicates a positive feedback between the NAO and the tripole. 2. The NAO response is mainly sustained by anomalous eddy forcing, developed through the eddy feedback mechanisms: => Symmetric component - PW eddy feedback mechanism => Asymmetric component - Nonlinear eddy feedback mechanism 34
35 Cint=10m 35
36 36
37 Cint=5 m
38 (eddy vorticity forcing) Cint=5 m 2 s -2
39 Fall Pan-Atlantic SST Anomaly North Atlantic horseshoe (NAH) anomaly Tropical anomaly 10N Cint=0.3 K 39
40 AGCM Response (P-N) Cint=5 m 40
41 41
42 An estimation of the ensemble size based on the t - test: N = 2 * t 2 / S 2 N - ensemble size t - student t value S - signal-to-noise ratio Given: S 2 = 10-20% ; t = 2 => N =
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