Supplementary materials S.1 The ENSO frequency in ICE The

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Supplementary materials
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S.1 The ENSO frequency in ICE
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The ENSO simulated by CCSM3 tends to have a dominant frequency of ~2 year
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(Deser et al., 2006; Liu et al., 2014). In ICE, the frequency of ENSO during the entire
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simulation is also close to quasi-biennial (Fig. S1). The power spectrum is increased
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after 14 ka BP with a larger peak, consistent with the evolution of amplitude of ENSO
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as shown in Fig. 1e.
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S.2 The energy balance
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The interhemispheric asymmetry of atmospheric heat budget that the ice-sheet retreat
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induces (as in our case, the substantial decay of the LIS at 14 ka BP) can also be
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reviewed in perspective of energy balance. Recent studies (e.g. Frierson et al., 2013;
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Marshall et al., 2013) have argued that the mean position of ITCZ north of the equator
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is a result of northward oceanic heat transport across the equator which leads to a
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more heated NH atmosphere, despite the slight interhemispheric difference of
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radiative forcing top of atmosphere. The compensating southward cross-equatorial
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atmospheric heat transport is thus established, while it requires a ITCZ mean
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displacement and the collocated ascending branch of Hadley cell north of the equator.
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Here the role of ice cover as an extratropical thermal forcing that changes the
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atmospheric heat budget, namely the competing of the declining ice sheet and the fast
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sea ice expansion, is investigated. The global zonal mean anomalous heat fluxes
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absorbed by the atmospheric column are depicted in Fig. S2 (Fig .S3/Fig. S4 is over
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land/ocean). It is calculated as the sum of anomalous shortwave and longwave heat
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fluxes top of atmosphere (TOA) and anomalous shortwave, longwave, latent and
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sensible heat fluxes at the surface. The competing effects can be seen in the
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substantial dipole anomaly in the NH extratropics (Fig. S2f, blue line). It shows a
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peak of atmospheric heating over the southern edge of LIS (~40oN, confirmed by Fig.
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S3f), and a comparable peak of cooling over the region of sea ice expansion (~55oN,
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confirmed by Fig. S4f). Above the sea ice where was open ocean before, the
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anomalous reflective shortwave heat flux mostly just goes through the atmospheric
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column (Fig. S2a, Fig. S4a). The much cooler temperature of sea ice than ocean
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reduces emitted longwave radiation at the surface that heats the atmosphere, and this
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surface anomaly is stronger than outgoing longwave radiation (OLR) anomaly at TOA
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as the cooling of air temperature that dominates OLR is weaker (Fig. S2b, Fig. S4b).
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As a result the top minus surface anomalous longwave radiative cooling is not
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negligible. The sea ice further cuts off the sensible and latent heat fluxes warming at
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the surface, both inducing cooling with a magnitude larger than the longwave
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radiative cooling (Fig. S2c,d, Fig. S4c,d). A combination of all the terms (TOA and
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surface) of anomalous heat fluxes suggests the atmospheric column loses heat over
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the sea ice (Fig. S2f, Fig. S4f). With almost all the terms opposite, except for
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negligible latent heat flux anomaly (Fig. S2, Fig. S3), the heat budget suggests that the
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atmospheric column gains heat above the decaying ice sheet. Therefore, in concept, at
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14 ka BP the NH ice sheet retreat favors a southward shift of ITCZ by warming the
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NH while the comparable (in terms of heat budget) sea ice expansion favors a
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northward shift of ITCZ by cooling the NH. The role of sea ice in determining the
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interhemispheric asymmetry is thus confirmed.
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The anomaly of heat budget of atmospheric column in either hemisphere is
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compensated by the cross-equatorial atmospheric heat transport. At 14 ka BP, there is
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an energy redistribution with an increase (0.015 PW) in the NH and a decrease
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(-0.013 PW) in the SH, implying a small northward atmospheric heat transport across
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the equator. It is more than one order smaller than the change of heat transport by
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removing imposed ice without the compensating sea ice in NH high latitude (e.g.
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~0.35 PW, from Chiang and Bitz, 2005). The global mean ITCZ shifts southward at
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14 ka BP (Figure not shown) rather than northward following the energy balance
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mechanism, probably due to the relative small perturbation. Indeed the anomalous
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interhemispheric asymmetry is subtle in the tropics (Fig. 11a-c), except for the region
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of ENSO/annual cycle action—eastern Pacific. We argue that only under robust
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extratropical forcing (e.g. Chiang and Bitz, 2005; Dong and Sutton, 2002; Lee et al.,
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2014) can the energy balance mechanism work.
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References
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Deser, C., Capotondi, A., Saravanan, R., and Phillips, A. S., 2006: Tropical Pacific and
Atlantic climate variability in CCSM3. J. Clim., 19(11), 2451-2481.
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Frierson, D. M., Hwang, Y. T., Fučkar, N. S., Seager, R., Kang, S. M., Donohoe, A., and
Battisti, D. S., 2013: Contribution of ocean overturning circulation to tropical rainfall
peak in the Northern Hemisphere. Nature Geoscience, 6(11), 940-944.
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Marshall, J., Donohoe, A., Ferreira, D., and McGee, D., 2014: The ocean’s role in setting the
mean position of the Inter-Tropical Convergence Zone. Clim. Dyn., 42(7-8), 1967-1979.
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Fig. S1 Power spectra of Nino3.4 monthly SST variability in ICE (after removing the annual
cycle) in five 1,000-year windows: 1–2, 5–6, 10–11, 15–16 and 18–19 ka BP. For each
spectrum, the 95% cut-off level and the corresponding red noise curve are also plotted (in
dotted lines). The black bar at the bottom shows the 1.5–7-year band used for the calculation
of ENSO variance.
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Fig. S2 Heat fluxes (W/m2) averaged over latitude bands on area weighted axis, green is for
mean state at 14 ka BP and blue is for anomalies (50-yr average) after minus before 14 ka BP.
Solid lines show heat fluxes at the surface and dashed lines show heat fluxes at the top of
atmosphere (TOA). All positive (negative) values suggest heating (cooling) of the
atmospheric column (e.g. it is gaining heat with downward fluxes at the TOA and upward
fluxes at the surface). (a)-(f): shortwave heat fluxes, longwave heat fluxes, latent heat fluxes,
sensible heat fluxes, net heat fluxes at the TOA and the surface, net heat fluxes absorbed by
the atmospheric column. The numbers in (f) are heat budget anomalies absorbed by the
atmospheric column summed over the NH and SH.
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Fig. S3 The same as Fig. S2 but averaged over land.
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Fig. S4 The same as Fig. S2 but averaged over ocean. Also note that the y-axis scale of heat
flux anomalies are changed.
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