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Supplement of Weather Clim. Dynam., 1, 427–443, 2020 https://doi.org/10.5194/wcd-1-427-2020-supplement © Author(s) 2020. This work is distributed under the Creative Commons Attribution 4.0 License. Supplement of Future wintertime meridional wind trends through the lens of subseasonal teleconnections Dor Sandler and Nili Harnik Correspondence to: Dor Sandler ([email protected]) The copyright of individual parts of the supplement might differ from the CC BY 4.0 License.

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Page 1: Supplement of - WCD

Supplement of Weather Clim. Dynam., 1, 427–443, 2020https://doi.org/10.5194/wcd-1-427-2020-supplement© Author(s) 2020. This work is distributed underthe Creative Commons Attribution 4.0 License.

Supplement of

Future wintertime meridional wind trends throughthe lens of subseasonal teleconnectionsDor Sandler and Nili Harnik

Correspondence to: Dor Sandler ([email protected])

The copyright of individual parts of the supplement might differ from the CC BY 4.0 License.

Page 2: Supplement of - WCD

Figure S1. Individual CMIP5 models’ first two leading V EOFs, based on Historical DJF data - 300hPa monthly subseasonal anomalies forthe entire NH. The λ value for each EOF is denoted in parentheses in the titles. Positive (negative) values are displayed in red (blue), with aninterval of 1 ms−1. Contours greater than 2 ms−1 were omitted for clarity.

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Figure S1. Individual CMIP5 models’ first two leading V EOFs, based on Historical DJF data - 300hPa monthly subseasonal anomalies forthe entire NH. The λ value for each EOF is denoted in parentheses in the titles. Positive (negative) values are displayed in red (blue), with aninterval of 1 ms−1.

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Figure S1. Individual CMIP5 models’ first two leading V EOFs, based on Historical DJF data - 300hPa monthly subseasonal anomalies forthe entire NH. The λ value for each EOF is denoted in parentheses in the titles. Positive (negative) values are displayed in red (blue), with aninterval of 1 ms−1.

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Figure S1. Individual CMIP5 models’ first two leading V EOFs, based on Historical DJF data - 300hPa monthly subseasonal anomalies forthe entire NH. The λ value for each EOF is denoted in parentheses in the titles. Positive (negative) values are displayed in red (blue), with aninterval of 1 ms−1.

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Figure S2. Same as Fig. S1, but for EOFs calculated with RCP8.5 runs.

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Figure S2. Same as Fig. S1, but for EOFs calculated with RCP8.5 runs.

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Figure S2. Same as Fig. S1, but for EOFs calculated with RCP8.5 runs.

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Figure S2. Same as Fig. S1, but for EOFs calculated with RCP8.5 runs.

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(a) MMM EOF1 (global & regional)AS region NA region

0 60° E 120° E 180° 120° W 60° WLongitude

20° N

40° N

60° N

80° N

Latit

ude

(b) MMM EOF2 (global & regional)AS region NA region

0 60° E 120° E 180° 120° W 60° WLongitude

20° N

40° N

60° N

80° N

Latit

ude

Figure S3. The first two leading Historical MMM V EOFs, calculated for the entire NH (shading) and for the NA and AS sectors (contours).

HadGEM

2-AO

HadGEM

2-ES

CESM1-

WACCM

HadGEM

2-CC

NorESM

1-M

IPSL-

CM5A

-MR

MIR

OC-ESM

-CHEM

CESM1-

BGC

GISS-E

2-R-C

C

MPI-E

SM-M

R

bcc-

csm

1-1

CMCC-C

M

NorESM

1-M

E

IPSL-

CM5A

-LR

CMCC-C

MS

FIO-E

SM

ACCESS1-3

GFDL-ESM

2M

CMCC-C

ESM

CCSM4

bcc-

csm

1-1-

m

MRI-C

GCM3

CNRM-C

M5

GISS-E

2-H-C

C

inmcm

4

ACCESS1-0

GFDL-CM

3

CESM1-

CAM5

MPI-E

SM-L

R

GFDL-ESM

2G

GISS-E

2-H

FGOALS-g

2

CSIRO-M

k3-6

-0

IPSL-

CM5B

-LR

MIR

OC-ESM

MIR

OC50

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Pro

ject

ion

Sco

re

EOF1 scoreEOF2 score

Figure S4. Model skill for EOF representation, as expressed by the Pearson correlation coefficient between the cosine latitude weightedglobal functions and the NCEP-I patterns.

S1 Definition and filtering of CTP Events

We define "CTP events" in daily mean data. These are essentially Rossby Wave Packets which are nearly in phase with the500 hPa equivalent of the preferably-phased pattern that was found in the 300 hPa monthly projections. First, we apply a

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3-day running mean on the 500 hPa daily V field. After calculating the projection index and excluding low values (as in themonthly case), we detect all sequences of 3 or more consecutive daily timesteps in which |γd− γm| ≤ π/8, where γd and γm5are the daily and preferred-monthly phases respectively. Lag 0 of a CTP event is defined as the first day of the sequence. Twoconsecutive sequences that are not separated by at least 48 hours are considered one CTP event. Our results were not foundto be sensitive to the choice of these parameters. This method of filtering results in some false positive matches. We thereforefurther filter out all sequences whose composite does not display a wavy signature (alternating mean negative-positive-negativeanomalies in the boxes marked in Fig. 8c). In order to determine the statistical significance of the resulting event composites,10we use a 1000 member bootstrap method.

S2 Lagged linear regression of tropical proxies

We used lagged linear regression in an attempt to establish a causal relationship between tropical convective forcing (expressedby OLR and upper tropospheric divergence) and the excitation of CTP events. After choosing a base daily time series as anindependent variable (Xi), we regress onto it the 7-day lagged time series of a chosen dependent field (Yi). Multiple regression15equations are then derived, one for every gridpoint of Y . We map the resulting Y pattern by plugging an identical arbitrary xvalue in every equation. Statistical significance is assessed through the p-value of the correlation coefficient.

Following Livezey and Chen (1983), we assume that the coefficient’s distribution is normal with a standard deviation of1/√n− 3. n is the number of degrees of freedom, estimated by:

n=N/[1 + 2

N∑i=1

CXX(i∆t)CY Y (i∆t)]

Where N is the number of samples, ∆t is the sampling time (1 day) and CZZ(i∆t) is the autocorrelation of Z for lag i∆t.

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Table S1. CMIP5 models used in this study. All data was taken from monthly-resolution Historical and RCP8.5 runs. Models denoted by (*)were studied as test cases using daily data.

Model Name InstitutionACCESS1.0 Commonwealth Scientific and Industrial Research Organization

(CSIRO) and Bureau of MeteorologyACCESS1.3BCC-CSM1.1

Beijing Climate Center, China Meteorological AdministrationBCC-CSM1.1(m)CCSM4 National Center for Atmospheric Research, United StatesCESM1(BGC)

National Center for Atmospheric Research, United States; CommunityEarth System Model Contributors

CESM1(CAM5)CESM1(WACCM)CMCC-CESM

Centro Euro-Mediterraneo per I Cambiamenti ClimaticiCMCC-CMCMCC-CMS

CNRM-CM5Centre National de Recherches Météorologiques / Centre Européen deRecherche et Formation Avancée en Calcul Scientifique

CSIRO-Mk3.6.0Commonwealth Scientific and Industrial Research Organization incollaboration with Queensland Climate Change Centre of Excellence

FGOALS-g2LASG, Institute of Atmospheric Physics, Chinese Academy ofSciences and CESS, Tsinghua University

FIO-ESM The First Institute of Oceanography, SOA, ChinaGFDL-CM3

NOAA Geophysical Fluid Dynamics Laboratory, United StatesGFDL-ESM2GGFDL-ESM2MGISS-E2-H

NASA Goddard Institute for Space Studies, United StatesGISS-E2-H-CCGISS-E2-R-CC

HadGEM2-AONational Institute of Meteorological Research / Korea MeteorologicalAdministration

HadGEM2-CCMet Office Hadley Centre, United Kingdom

HadGEM2-ESINM-CM4 Institute for Numerical Mathematics, RussiaIPSL-CM5A-LR

Institut Pierre-Simon Laplace, FranceIPSL-CM5A-MR(*)IPSL-CM5B-LRMIROC-ESM Japan Agency for Marine-Earth Science and Technology, Atmosphere

and Ocean Research Institute and National Institute for EnvironmentalStudies

MIROC-ESM-CHEM(*)MIROC5MPI-ESM-MR

Max Planck Institute for Meteorology, GermanyMPI-ESM-LRMRI-CGCM3 Meteorological Research Institute, JapanNorESM1-M

Norwegian Climate CentreNorESM1-ME

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