Changes in the seasonal cycle of the Atlantic meridional heat transport in a RCP 8 . 5 climate projection in MPI-ESM

We investigate changes in the seasonal cycle of the Atlantic Ocean meridional heat transport (OHT) in a climate projection experiment with the Max Planck Institute Earth System Model (MPI-ESM) performed for the Coupled Model Intercomparison Project Phase 5 (CMIP5). Specifically, we compare a Representative Concentration Pathway (RCP) RCP 8.5 climate change scenario, covering the simulation period from 2005 to 2300, to a historical simulation, covering the simulation period from 1850 to 2005. In RCP 8.5, the OHT declines by 30–50 % in comparison to the historical simulation in the North Atlantic by the end of the 23rd century. The decline in the OHT is accompanied by a change in the seasonal cycle of the total OHT and its components. We decompose the OHT into overturning and gyre component. For the OHT seasonal cycle, we find a northward shift of 5 and latitude-dependent shifts between 1 and 6 months that are mainly associated with changes in the meridional velocity field. We find that the changes in the OHT seasonal cycle predominantly result from changes in the wind-driven surface circulation, which projects onto the overturning component of the OHT in the tropical and subtropical North Atlantic. This leads in turn to latitude-dependent shifts between 1 and 6 months in the overturning component. In comparison to the historical simulation, in the subpolar North Atlantic, in RCP 8.5 we find a reduction of the North Atlantic Deep Water formation and changes in the gyre heat transport result in a strongly weakened seasonal cycle with a weakened amplitude by the end of the 23rd century.


Introduction
Global surface temperatures are projected to warm -depending on the considered climate change scenario -intensively over the next centuries (IPCC, 2013), accompanied by a projected shift in the amplitude and phase of the seasonal cycle of surface air temperatures (Dwyer et al., 2012).In concert, the Atlantic meridional overturning circulation (AMOC) is projected to slow down (Weaver et al., 2012;IPCC, 2013), which can be attributed to a reduction of deep water formation in the North Atlantic, especially in the Labrador Sea and Greenland Sea (Vellinga and Wood, 2002).The associated Atlantic Ocean meridional heat transport (OHT) is also expected to weaken due to the direct linear relation of AMOC and OHT found in observations and model studies (Johns et al., 2011;Msadek et al., 2013).However, it is unclear how climate change along with a projected shift in the seasonal cycle of surface temperatures affects the seasonal cycle of the ocean circulation, and especially of the OHT.Here, we investigate projected changes in the OHT seasonal cycle in a Coupled Model Intercomparison Project Phase 5 (CMIP5) climate projection (Taylor et al., 2012) performed in the global coupled Max Planck Institute Earth System Model (MPI-ESM).In the CMIP5 Representative Concentration Pathway (RCP) RCP 8.5, surface air temperatures are projected to increase by about 8 • C in the global mean by the year 2300 in the CMIP5 multi-model ensemble (IPCC, 2013).The warm-ing manifests itself over the continents and in particular in polar regions where an increase in surface temperatures of more than 20 • C arises in climate projections until 2300 (e.g.IPCC, 2013;Bintanja and Van der Linden, 2013).Due to the strong warming in polar latitudes, the meridional temperature gradient from the equator to the poles is also strongly reduced in the Northern Hemisphere.The atmospheric circulation patterns are projected to move poleward in concert with the increase in surface temperature, leading to a poleward expansion of the tropical cell and an associated poleward shift of the jet stream (Chang et al., 2012;Hu et al., 2013;IPCC, 2013), while the response of the storm track exhibits a more complex pattern (Zappa et al., 2013).A warmer planet has been shown to lead to an expansion of the Hadley cell and a poleward shift of the westerlies in both dynamical core (Butler et al., 2010) and complex climate models (Lu et al., 2008), following a systematically warmer Northern Hemisphere (e.g.Toggweiler, 2009).Under global warming, the hemispheric temperature asymmetry increases, leading to an additional northward shift of the intertropical convergence zone (ITCZ) and the position of the westerlies.A number of mechanisms have been proposed for the shift of the Hadley circulation and the westerlies (Lu et al., 2014, and references therein).
In contrast to the general warming, the surface air temperatures show a prominent area of reduced warming over the North Atlantic subpolar gyre (SPG) in the set of CMIP5 climate projections that might be associated with an adjustment of the Atlantic meridional overturning circulation (Drijfhout et al., 2012) and/or a reduction of the OHT into the SPG (e.g.Rahmstorf et al., 2015).These changes in the surface temperature patterns thus suggest considerable changes in the North Atlantic Ocean circulation, the AMOC and the associated OHT.
The implications of the Atlantic Ocean circulation and the OHT for the North Atlantic sector and the European climate have been widely discussed.The AMOC and OHT in the North Atlantic have been shown to affect the North Atlantic heat content and the North Atlantic sea surface temperatures (SSTs; e.g.Dong and Sutton, 2003;Grist et al., 2010;Sonnewald et al., 2013;Muir and Fedorov, 2014).Changes in the North Atlantic SSTs and the air-sea interaction appear to be important for influencing the atmospheric circulation, the multi-decadal variability of the North Atlantic sector, and the North American and European climate on interannual to multi-decadal timescales (e.g.Rodwell et al., 2004;Sutton and Hodson, 2005;Gastineau and Frankignoul, 2015).
Furthermore, a response of the North Atlantic Oscillation (NAO) to North Atlantic SSTs has been found both in observations and model studies (Czaja andFrankignoul, 1999, 2002;Rodwell and Folland, 2002;Frankignoul et al., 2013;Gastineau et al., 2013;Gastineau and Frankignoul, 2015).Via the Atlantic Multidecadal Oscillation (AMO), which is thought to be associated with AMOC and OHT variability (e.g.Delworth and Greatbatch, 2000;Knight et al., 2005;Msadek and Frankignoul, 2009;Zhang and Wang, 2013), the SST variability has been linked to a number of climate phenomena, such as Sahel rainfall, Atlantic hurricane activity, and North American and European summer climate (Enfield et al., 2001;Sutton and Hodson, 2005;Knight et al., 2006;Zhang and Delworth, 2006;Sutton and Dong, 2012).Recently, Clement et al. (2015) reported that the AMO can be reproduced in an atmospheric circulation model coupled to a slab ocean without changes in the ocean circulation and heat transport.They showed in their model that the AMO is a response to the atmospheric circulation in the mid-latitudes rather than to internal ocean dynamics.However, the specific role and direct importance of the OHT for European climate is still controversially discussed and the exact mechanism is not fully understood (e.g.Bryden, 1993;Seager et al., 2002;Rhines et al., 2008;Riser and Lozier, 2013).The seasonal coupling between ocean and atmosphere is less understood.Minobe et al. (2010) have shown an atmospheric response to Gulf Stream variability with seasonal variations.When also considering the impact of seasonal variations in the total OHT on European climate, the relation becomes even more complex and thus requires a better understanding of the OHT and its coupling to the atmosphere.
Most of the present understanding stems from model analysis due to a lack of continuous observations.These observations of the OHT rely on hydrographic snapshots (e.g.Bryan, 1962;Hall and Bryden, 1982;Lavin et al., 1998;Lumpkin and Speer, 2007) or inverse methods (e.g.Macdonald and Wunsch, 1996;Ganachaud andWunsch, 2000, 2003) and give estimates of the time-mean OHT of about 1 PW at its maximum at about 20 • N, but they do not describe the OHT variability (see also Wunsch, 2005).Furthermore, single hydrographic snapshots may be affected by a seasonal bias due to the predominance of field work during summer.Recently, the two time series of the 26 • N rapid array and observations at 41 • N have indicated interannual variability and a clear seasonal cycle of the OHT in the North Atlantic (Johns et al., 2011;Hobbs and Willis, 2012).
Model studies led to a better understanding of the dynamics of the seasonal cycle of the OHT.The pioneering study by Bryan (1982a) used a global ocean circulation model forced with observed winds.Bryan pointed out the importance of the wind-driven Ekman mass transport and of the associated Ekman heat transport for driving the seasonal variability of the OHT, which was also found in subsequent studies (Sarmiento, 1986;Lee and Marotzke, 1998;Jayne and Marotzke, 2001;Böning et al., 2001;Cabanes et al., 2008;Balan Sarojini et al., 2011;Munoz et al., 2011).Bryan (1982a) argued that changes in the zonally integrated wind stress, leading to changes in the Ekman mass transport, are balanced by a barotropic return flow.Jayne and Marotzke (2001) provided the theoretical and dynamical justification for Bryan's argumentation, stressing again the important role of the Ekman transport in the seasonal cycle of the OHT.
Traditionally, the OHT is decomposed into a vertical overturning component, which is commonly linked to the meridional overturning circulation, and a horizontal gyre component giving correlations between the zonal deviations of the velocity and temperature field (Bryan, 1962(Bryan, , 1982b;;Bryden and Imawaki, 2001;Siedler et al., 2013).The gyre component is commonly linked to the horizontal gyre circulation and contributions from the eddy field.Previous studies have shown that the overturning component dominates the time mean, as well as the inter-decadal variability of the OHT in the tropical and subtropical North Atlantic, whereas the overturning and gyre components contribute about equally to the OHT and its inter-decadal variability in the subpolar North Atlantic (e.g.Eden and Jung, 2001).
With this study, we aim to understand how the seasonal cycle of the Atlantic Ocean meridional heat transport is affected by global warming and what determines potential changes in the OHT seasonal cycle.For our analysis, we use a CMIP5 climate change projection performed in MPI-ESM, with a focus on the climate change scenario RCP 8.5.We aim to identify changes in the seasonal cycle of OHT and its sources.To analyse different physical mechanisms that contribute to the changes in the seasonal cycle, we analyse the individual contributions to the total OHT on seasonal timescales.Therefore, we decompose the OHT into gyre and overturning components, related to the horizontal gyre circulation and to the overturning circulation in the North Atlantic, and we consider changes in the wind-driven Ekman heat transport.(Marsland et al., 2003;Jungclaus et al., 2013;Stevens et al., 2013).In MPIOM, the horizontal resolution is 1.5 • on average, with 40 unevenly spaced vertical levels (Marsland et al., 2003;Jungclaus et al., 2013).ECHAM6 has a horizontal resolution of T63 and includes 47 vertical levels (Stevens et al., 2013).

The
For our analysis, we focus on one member in the CMIP5 ensemble and use the historical simulation (1850-2005) extended with the RCP 8.5 from 2006 to 2300.In RCP 8.5, a rising radiative forcing following "business as usual" is applied, which rises to 8.5 W m −2 in the year 2100 and further stabilises after that (van Vuuren et al., 2011).We focus in this study on long-term changes in RCP 8.5, comparing the period 1850-1950 for the historical simulation (HIST mean ) to the period 2200-2300 for the RCP 8.5 scenario (RCP mean ), where we expect the strongest changes in the North Atlantic Ocean circulation and in the seasonal cycle of the OHT.

Projected changes in the North Atlantic sea surface temperatures
In concert with the projected warming of surface air temperatures, the SSTs are projected to rise globally and also in the North Atlantic sector in RCP 8.5 (Fig. 1).A similar "warming hole" signature as found for surface air temperatures (see Drijfhout et al., 2012) is present in the North Atlantic SSTs (Fig. 1), with a stronger warming in polar regions and an area of reduced warming in the SPG (Fig. 1c).Pronounced regional variations in the SST change suggest important changes in the North Atlantic Ocean circulation and its dynamics.The SST front along the Gulf Stream-North Atlantic current path shifts northward and weakens, which might also impact the North Atlantic storm track, as already shown for the current climate state (e.g.Minobe et al., 2008Minobe et al., , 2010;;Hand et al., 2014).

Projected changes in the North Atlantic horizontal gyre circulation and zonal-mean zonal wind
The area of reduced warming in the eastern SPG indicates changes in the North Atlantic Ocean dynamics and in the gyre circulation (e.g.Drijfhout et al., 2012).lantic barotropic stream function shows substantial changes in the annual mean pattern (Fig. 2).The barotropic stream function weakens in the subtropical gyre and intensifies in the SPG in RCP 8.5.We identify a northward shift of the subtropical gyre and a northward shift of the boundary between subtropical and subpolar gyre by about 5 • between the HIST mean (Fig. 2a) and RCP mean (Fig. 2b) associated with the northward shift of the atmospheric wind field (Fig. 2c).
The zonal-mean zonal wind across the Atlantic indicates considerable changes in the annual mean surface wind field in RCP 8.5 (Figs.2c, 3).As compared to the HIST mean , the northern Hadley cell slightly expands poleward and equatorward and the Ferrel cell shifts poleward in RCP mean in MPI-ESM (Fig. 3a) as in most CMIP5 models (e.g.Hu et al., 2013).As a consequence, the westerlies between 30 and 60 • N are shifted poleward in RCP 8.5 by about 5 • (Fig. 3b,  c).This shift resembles the wind pattern observed during a positive NAO anomaly (as defined from pre-industrial control, while the loading pattern may change considerably with climate change; Ning and Bradley, 2016), which is associated with an acceleration of the westerlies over large areas of the SPG (Fig. 3b, c), along with a deceleration of the westerlies between 30 and 40 • N and a slight intensification of the trade winds south of 30 • N.
In concert with this intensification of the surface wind field, the circulation of the SPG strengthens with an increase in the average transport by about 2 Sv, which might be related to changes in heat fluxes in the SPG (e.g.Eden and Willebrand, 2001;Eden and Jung, 2001;Barrier et al., 2014).In particular, the flat-bottom Sverdrup transport in the subpolar gyre indicates only a weak increase of about 0.5 Sv in the gyre strength from HIST mean to RCP mean (not shown), suggesting that changes in the deep circulation might also be important (Greatbatch et al., 1991).The subtropical gyre shows a weakening in the barotropic stream function by about 20 Sv at its maximum at about 30 • N and by about 4 Sv in its mean, indicating important changes in the dynamics of the subtrop- ical gyre (Fig. 2).Considering the Sverdrup transport in the subtropical gyre, we find a decrease in the mean by about 1.5 Sv, while the maximum is reduced by roughly 10 Sv.In concert with the northward shift of the ocean circulation in RCP 8.5, the North Atlantic current moves further north in RCP 8.5.This leads to the simulated changes in the SST front (Fig. 1).

The Atlantic meridional heat transport and its decomposition
Traditionally, the meridional heat transport H is diagnosed from the zonal and vertical integral of the heat flux across an east-west section through the Atlantic (e.g.Hall and Bryden, 1982): with ρ 0 a reference density, c p the specific heat capacity of sea water, H the water depth, x the longitude, y the latitude, z the depth, x E and x W the eastern and western boundaries of the transect, v the meridional velocity, and θ the potential temperature in • C.

Impact of the variability of the temperature and velocity field on the OHT
In order to assess the impact of temporal variations on the velocity field and the potential temperature field, we separate their contributions to the OHT.In a first step we calculate the OHT with a time-mean velocity field ([v], Eq. 2), and in a second step with a time-mean temperature field ([θ ], Eq. 3) over the analysed periods HIST mean and RCP mean .We consider the time mean of the v-(θ -) field but consider the full spatial variations of the respective field together with the full spatial and temporal variability of the θ -(v-) field, such that the two contributions can be calculated from with v the meridional velocity, θ the temperature, and [v] and [θ ] the time mean of the velocity and temperature ( • C) field over the analysed periods HIST mean and RCP mean .The two cases correspond to the time-mean velocity field, advecting the time-dependent temperature field and the timedependent velocity field acting on the time-mean temperature field.Based on this split-up of the OHT we then analyse the impact of the variability of the velocity and temperature field on the seasonal cycle of the OHT.

Overturning and gyre components of the OHT
The decomposition of the OHT into contributions from the zonal mean vertical circulation and the horizontal circulation is well-established by considering the zonal mean (v, θ ) and deviations from the zonal mean (v , θ ) of the meridional velocity and temperature field respectively: v = v + v and θ = θ + θ (e.g.Bryan, 1962Bryan, , 1982b;;Bryden and Imawaki, 2001).This yields for the OHT giving an overturning component H ov and a gyre component H gyre from the horizontal gyre circulation.As the total OHT, both components hold mass balance by definition for a closed basin.Traditionally, the overturning component is related to the zonally averaged vertical-meridional (overturning) circulation and the gyre component is related to the horizontal transport by the large-scale gyres and small-scale eddies.Furthermore, an Ekman heat transport contribution to the overturning heat transport can be calculated from with τ x the zonal wind stress, f the Coriolis parameter, θ the temperature field averaged zonally and vertically across the section, and θ ek the temperature of the Ekman layer following Böning and Hermann (1994).Here, the Ekman heat transport at the surface is assumed to be compensated for by a deep return flow.We also assume θ ek to be close to the surface temperature, which yields only small uncertainties (Johns et al., 2011).Williams et al. (2014) analysed contributions from the overturning, gyre and Ekman heat transport to the heat convergence in the North Atlantic for decadal signals based on perturbation experiments with and without wind.Thus, they avoided the assumption of a uniform return flow as done in Eq. ( 5).Jayne and Marotzke (2001) showed that the computation of the Ekman heat transport conserves mass only for short timescales of some weeks, but not necessarily for the time-mean heat transport.Therefore, we apply the Ekman transport calculation only to the OHT seasonal variability and not to the time-mean OHT. 3 Mean changes in the Atlantic meridional overturning circulation and meridional heat transport

AMOC
The mean changes seen in the SSTs, the surface wind field and in the North Atlantic Ocean circulation influence the AMOC and the OHT, which we focus on in the remainder of the study.The AMOC shows significant changes in the time mean from HIST mean to RCP mean (Fig. 4).The AMOC calculated in depth coordinates shows that the northward overturning cell is reduced in strength and becomes shallower from the HIST mean to RCP mean (Fig. 4a, b).The maximum commonly used as an index for the AMOC, is substantially reduced between 30 and 50 % in the North Atlantic from HIST mean to RCP mean (Figs. 4a,b,5a).
Considering the AMOC in density coordinates (Fig. 4c, d) indicates a similar shoaling of the AMOC cell to layers of lower density from HIST mean to RCP mean (Fig. 4c, d).We find only a slight decrease in the wind-driven surface cell (down to approximately 1000 m) in the tropics by about 2 Sv at the maximum, whereas the deep thermohaline cell is reduced by more than 50 % from a maximum of about 24 Sv in HIST mean to about 10 Sv in RCP mean ; this is consistent with the widely held picture that the AMOC consists of both a wind-driven and a thermohaline part (e.g.Kuhlbrodt et al., 2007).In RCP 8.5, the formation of North Atlantic Deep Water (NADW) in the Labrador Sea and the Nordic seas is almost absent for the 2200-2300 period.Instead of deep convection mixing surface water down to the bottom (about 3000 m depth in the Labrador Basin and Irminger Basin) in the historical simulation, the maximum mixed layer depth is mostly limited to the upper 1000 m in RCP 8.5 (not shown), which thus directly reduces the deep branch of the AMOC.In addition, the AMOC's weakening is associated with a reduction of the geostrophic volume transport (Fig. 5a).For simplicity, we approximate the maximum geostrophic transport ψ geo by the residual of ψ max and the Ekman transport ψ ek given by the x W τ x dx, with τ x as the zonal wind stress at the ocean surface: ψ geo ≈ ψ max − ψ ek .The geostrophic transport is proportional to the zonal crossbasin density gradient which is decreased from HIST mean to RCP mean and thus reduces the AMOC in the North Atlantic (not shown).The Ekman transport indicates only small and local changes from HIST mean to RCP mean that do not contribute notably to the weakening of the AMOC (Fig. 5a).

OHT
Similar to the AMOC, the RCP 8.5 scenario reveals considerable changes in the associated OHT.For RCP mean , the OHT shows a pronounced weakening by 30-50 % from about 1.2 PW to about 0.8 PW between 10 and 30 • N and from about 0.8 PW to about 0.4 PW between 40 and 55 • N by the end of the 23rd century (Fig. 5b).The reduction in the total OHT in the subtropical North Atlantic can be attributed almost entirely to a reduction in the overturning heat transport, while changes in the gyre component are comparably small.Only in the SPG, the gyre component also indicates a substantial weakening, so that both the overturning and the gyre components contribute to the reduction in the total heat transport in the subpolar North Atlantic.The reduction of the overturning heat transport can be attributed to a reduction of the geostrophic contribution to the AMOC (Fig. 5a) and the associated reduction of the zonally averaged geostrophic meridional velocity field.

The total OHT
To assess the response of the seasonal cycle of the OHT to a changing climate in RCP 8.5, we first analyse the latitudedependent seasonal cycle of the total OHT before focusing on the seasonal cycle of individual OHT components.The seasonal cycle of the OHT shows regionally varying patterns with a seasonal amplitude declining from the equator to the pole and phase changes between the tropical, subtropical and subpolar North Atlantic (Fig. 6).The most obvious change in the OHT from the HIST mean to the RCP mean is the reduction of the mean heat transport, which appears in almost all months (Fig. 6a, b).Since the changed seasonal cycle is superimposed on the strong reduction of the OHT, we consider in the following analysis anomalies of the seasonal cycle relative to the annual mean at every latitude (Fig. 6c, d) to thus highlight the seasonally varying changes.
The seasonal anomalies indicate changes in space and time in the OHT seasonal cycle from the HIST mean to the RCP mean (Fig. 6c, d).The OHT seasonal cycle pattern shows a northward shift by about 5 • following the general northward shift of the atmospheric jet and the gyre circulation in RCP 8.5.We also find a latitude-dependent temporal shift of 1 to 6 months of the minima and maxima of the seasonal cycle that are not fully in agreement with the northward shift of the pattern.The temporal shift appears to be different between the tropical, subtropical and subpolar North Atlantic.Especially latitudes along the gyre boundaries between the tropical and subtropical North Atlantic (at about 20 • N) and the subtropical and subpolar North Atlantic (at about 40 • N) indicate significant phase shifts of 4 to 6 months that mostly result from the northward shift here.
In addition, we find changes in the seasonal amplitude in RCP mean , which also depend on latitude and are partly influenced by the northward shift.Between 30 and 40 • N, the seasonal cycle generally exhibits an intensification in the am-Earth Syst.Dynam., 8, 129-146, 2017  plitude, whereas the seasonal amplitude between 40-50 • N is influenced mostly by the northward shift.As an example for the subtropical and subpolar gyre, the OHT seasonal cycle is shown at 30 and 45 • N from the HIST mean to the RCP mean (Fig. 6e-f), showing prominent changes in the amplitude, the phase and the general seasonality of the OHT.

Contributions from the seasonal variability in the temperature and velocity field
To identify whether changes in the seasonal cycle of the velocity field or in the temperature field dominate the changes seen in the total OHT, we consider the OHT with a timemean velocity field [v] (Eq.2) allowing for temporal and seasonal variability in the potential temperature field and a timemean temperature field [θ ] allowing for temporal variability in the velocity field (Eq.3).Thus, the non-time-mean component provides the seasonal variability only.The OHT based on [v] (Fig. 7a, b) reveals a reduced seasonality compared to the full OHT seasonal variability, especially in the tropical and subtropical North Atlantic.The changes in the seasonal cycle from the HIST mean to the RCP mean are rather small.
The OHT based on [θ ] (Fig. 7c, d) reproduces the bulk of the total OHT seasonal cycle and also the changes in the seasonal cycle from the HIST mean to the RCP mean .This clearly indicates that the strongest changes in the OHT seasonal cycle mostly result from changes in the meridional velocity field, whereas the overall warming of the ocean temperatures plays a less important role in directly changing the OHT seasonal cycle via the temperature field.

Zonal-mean zonal wind and Ekman heat transport
The seasonal cycle of the zonal-mean zonal wind indicates a seasonal maximum of the atmospheric westerly jet in winter and meridional shifts in the position of the jet from summer to winter in the HIST mean (Fig. 8; shown is the full zonalmean zonal velocity field).Especially in the tropical Atlantic, the seasonality of the wind field is strongly affected by the seasonal migration of the ITCZ (e.g.Schneider et al., 2014).
Between the HIST mean and RCP mean the zonal wind undergoes changes in amplitude and position of the jet with associated temporal changes in the seasonal cycle (Fig. 8a, b; see Lu et al., 2014).We found a seasonally dependent shift and  The seasonal cycle of the Ekman heat transport indicates a weakening in the seasonal cycle in the tropical North Atlantic, with a decrease in the seasonal amplitude by about 50 % from the HIST mean to the RCP mean (Fig. 8e-h).In the subtropical gyre, we find a dominant influence of the northward-shifted westerlies on the Ekman heat transport.The Ekman heat transport in the SPG shows -in contrast to the subtropical gyre -relatively small changes in terms of the Earth Syst.Dynam., 8, 129 -146, 2017 www.earth-syst-dynam.net/8/129/2017/amplitude, resulting in a slight strengthening in summer and a weakening in winter (Fig. 8e, f).As an example, the Ekman heat transport seasonal cycle is shown at 30 and 45 • N (Fig. 8g, h), indicating the influence of the northward-shifted pattern.
The changes in the seasonal amplitude of the Ekman heat transport come in concert with a temporal shift of the seasonal minima and maxima (Fig. 8e-h).The Ekman heat transport in the tropical North Atlantic undergoes a 1-to-2month temporal shift to later months.In the southern part of the subtropical gyre (about 20-30 • N), we find the largest temporal shift of the seasonal maximum and minimum of 2-6 months to later months (Fig. 8e).In the northern part, the maximum is shifted by 1-2 months, as is the minimum.The subpolar gyre region shows only small changes in the Ekman heat transport seasonal cycle (1-2 months), while a latitudedependent larger shift of about 5 months is identified for the maximum at about 40 • N due to the northward shift of the pattern along the gyre boundary (e.g.Fig. 8f).Overall, the seasonal cycle of the Ekman heat transport changes depend-ing on latitude, closely following the changes in the seasonal cycle of the surface wind.

Overturning and gyre heat transport
The overturning and gyre components similarly show for the time mean and long-term variability that the overturning component dominates the OHT seasonal cycle in the subtropical North Atlantic (Fig. 9a, b), while the gyre component gains influence in the subpolar gyre (Fig. 9c, d).The changes in the seasonal cycle of the overturning component from the HIST mean to the RCP mean therefore reveal clear similarities to the changes in the seasonal cycle of the total OHT (Fig. 6).We found a similar northward shift of the seasonal cycle pattern by about 5 • -suggesting a relation to the surface wind field -and comparable changes to the OHT in the seasonal amplitude, with a 2-to-4-month shift of the minimum and maximum in the subtropical gyre and up to a 6month shift in the subpolar gyre.This close relation shows that changes in the seasonal cycle of the overturning component drive the changes in the seasonal cycle of the total OHT www.earth-syst-dynam.net/8/129/2017/Earth Syst.Dynam., 8, 129-146, 2017 in both the subtropical and subpolar gyre (Fig. 8a, b).Similarly, changes in the amplitude of the seasonal cycle of the overturning component result in changes in the amplitude of the seasonal cycle of the total OHT, with a reduction in the seasonal amplitude in the tropics and a slight increase in the seasonal amplitude between 30 and 45 • N.
In RCP mean (Fig. 9c, d), the gyre component reveals a slight intensification of the seasonal amplitude in tropical latitudes, while no notable changes in the seasonal amplitude occur in the subtropical and subpolar gyre.Important changes for the gyre component's seasonal cycle take place at about 40 • N, where the gyre boundary is situated in the model.We find a northward shift in the seasonal cycle pattern in the subpolar gyre following the northward shift in the barotropic stream function and the zonal-mean zonal wind (Fig. 2), with the seasonal cycle in the subpolar gyre covering latitudes north of 40 • N in the HIST mean , while the seasonal cycle covers latitudes north of 45 • N in the RCP mean (Fig. 9c,  d).
The comparison of the changes in the OHT, the overturning component (Fig. 8a, b) and the Ekman heat transport reveals that changes in the Ekman heat transport (Fig. 8e, f) can explain a large part of the changes in the seasonal cycle of the OHT and overturning component: on the one hand by the contribution of Ekman heat transport's seasonal cycle to the overturning component and on the other hand, the effects from wind stress on the vertical motion (heaving and shoaling) of isopycnals shown in earlier studies (Köhl, 2005;Chidichimo et al., 2010;Kanzow et al., 2010).Thereby, the surface wind stress might change the interior geostrophic flow and hence the heat transport and its variability.Note that between 30 and 40 • N, the Ekman transport change alone cannot explain the changes in the seasonal cycle of the OHT, though these latitudes are strongly influenced by changes in the mean strength of the North Atlantic Deep Water (Appendix A).Overall, changes in the seasonal cycle are predominantly driven by changes in the ocean's surface and upper ocean, as also found in the seasonal cycle of the temperature transport in potential density coordinates (Appendix A), indicating predominantly changes in the surface and upper ocean circulation.

Discussion
The changes in the mean climate state of the North Atlantic and a projected reduction in the AMOC and OHT in the MPI-ESM come in concert with changes in the seasonal cycle of the OHT.Bryan (1982a) and subsequent studies have shown that the Ekman heat transport is responsible for a large fraction of the seasonal variability of the overturning heat transport and thus of the total oceanic OHT.We have shown that under climate change the overturning heat transport is the most important term leading to the changes in the OHT seasonal cycle.These changes in the overturning heat trans-port are mostly wind-driven via changes in the Ekman heat transport, which are mostly confined to the upper layers of the ocean.These overturning heat transport changes might also be associated with changes in the geostrophic interior flow from wind-driven heaving and shoaling of the isopycnal slope, as shown for the AMOC seasonal cycle in observations (Kanzow et al., 2010), as well as with changes in the water mass characteristics (Appendix A).Changes in the Ekman transport and the associated vertical Ekman velocities change the isopycnal slope and thus the geostrophic velocity field.Overall, the seasonal cycle of the OHT largely adjusts to a changed seasonality of the atmospheric circulation and the zonal wind in RCP 8.5.Similar changes in the seasonal cycle for extreme climate change scenarios have also been found in other atmospheric variables such as surface temperatures and precipitation (Dwyer et al., 2012;Donohoe and Battisti, 2013;Dwyer et al., 2014).
Most prominent among the atmospheric changes with climate change is the expansion of the Hadley cell and the associated northward shift of the ITCZ and the mid-latitude westerlies (Sun et al., 2013;Lu et al., 2014).However, the exact mechanism leading to the shift of the ITCZ and the westerlies is still not fully understood and remains under discussion (Seidel et al., 2008), especially in CMIP5 models where the problem of a double ITCZ occurs in some models (Hwang and Frierson, 2013;Christensen et al., 2013).As shown by Hu et al. (2013), almost all CMIP5 models show a poleward expansion of the Hadley cell in the RCP 4.5 and RCP 8.5 scenarios for the period 2006 to 2100.Hu et al. (2013) also show that the CMIP5 historical simulations underestimate the trend in the poleward expansion of the Hadley cell represented by reanalysis data for the preceding decades, although it is unclear whether the trend is anthropogenically forced or whether the models capture the natural variability and extent of the Hadley cell correctly.
Furthermore, changes in the surface winds and wind stress may be model dependent and may differ in detail, i.e. some models do not project a northward shift of the westerlies directly at the surface and therefore in the associated surface wind stress.Thus, the proposed mechanism for changes in the seasonal cycle of the oceanic OHT by the Ekman heat transport and the associated changes in the geostrophic velocity field might differ between individual models used for the CMIP5 multi-model ensemble and might require a similar analysis in other CMIP5 models.
The strong decrease in the mean overturning heat transport leading to the 30-50 % decrease in the OHT suggests that either the reduced meridional temperature gradient requires less heat to be transported to the poles or that a compensation mechanism must be at work, bringing additional heat from the equator to the poles to obtain a closed heat budget.In MPI-ESM, the atmosphere compensates for the decrease in the meridional ocean heat transport, implying an increased atmospheric heat transport (not shown), as also suggested by Rose and Ferreira (2012).A deeper analysis of the atmo- spheric compensation and changes in the atmospheric heat transport is needed but is beyond the scope of our study.
The advection of heat by the ocean determines ocean heat storage rates and is an important factor for air-sea heat exchange (Dong et al., 2007), and thus for carrying heat to the North Atlantic sector and especially towards the European continent.By the changed ocean and heat transport dynamics, the surface air-sea heat fluxes are presumably exposed to changes regarding areas of heat flux divergences and convergences and thus of heat exchange and shifts in the seasonal cycle of surface heat fluxes, which might affect the climate over Europe.
In agreement with other studies (e.g.Gregory et al., 2005), the cooling associated with the decline of the OHT and the AMOC is smaller than the radiative heating of the atmospheric temperatures due to global warming.This yields an overall increase in surface temperature in the North Atlantic sector, which may be possible to separate from an AMOC decrease due to their distinctive footprints in outgoing longwave and absorbed shortwave radiation (Drijfhout, 2015).However, it is difficult to clearly separate the effect of the reduced ocean heat transport on surface temperatures from the increased radiative heating of surface temperatures.To identify this impact of the reduced OHT and changes in the OHT seasonal cycle, further studies will be required for clarifying the impact of a reduction and a changed seasonal cycle of the OHT on the North Atlantic sector and European climate.

Conclusions
Based on our analysis in the MPI-ESM CMIP5 climate projection RCP 8.5, we conclude for the Atlantic Ocean meridional heat transport that 1. accompanied by a 30 to 50 % decline in the time-mean OHT, the seasonal cycle of the OHT shifts in time (1 to 6 months, depending on latitude and season) and in space (5 • northward) in both the subtropical and subpolar gyres in RCP 8.5.
2. these changes stem from a latitude-dependent altered seasonal cycle and a northward shift in the zonalmean zonal wind (about 5 • northward) and the resulting changes in the surface wind field that lead to a shift by 1 to 5 months in the seasonal cycle of the Ekman heat transport and the overturning heat transport.
3. especially in the tropical and subtropical North Atlantic, the OHT seasonal cycle is mostly forced and mostly changed in the surface layer and the upper ocean, where the wind acts as the dominant direct driver of the seasonal variability and leads to temporal shifts from 1 to 6 months.
4. thus, the changes in the total OHT seasonal cycle in the subtropical gyre result mostly from the zonal-mean wind-driven and surface-intensified parts of the overturning heat transport, whereas in the subpolar gyre, the changes in the seasonal cycle are dominated by the gyre heat transport.
5. in the subpolar North Atlantic, we also find that the reduction of the North Atlantic Deep Water formation results in a weakened seasonal cycle with a weakened seasonal amplitude by the end of the 23rd century and thus changes the OHT seasonal cycle in the SPG.
These findings may have important implications for the impact of climate change on the decadal predictability of the AMOC and the OHT.
Appendix A: The meridional temperature transport in potential density coordinates

A1 Methods
The decomposition of the OHT into overturning and gyre components merely represents the vertical integral of the temperature and meridional velocity fields and thereby masks out any contribution from different layers and water masses in the North Atlantic.To analyse how the vertical structure of the North Atlantic ocean circulation and associated changes in the water mass characteristics contribute to changes in the seasonal cycle of the OHT, we calculate the OHT in potential density coordinates, similar to the analysis of Talley (2003).Specifically, we calculate the temperature transport for chosen potential density ranges since we can not ensure mass balance for every considered density class.
The temperature transport T in PWT (1 PWT = 1 × 10 15 W) per density class is calculated from with σ 2 being the potential density referenced to 200 dbar, v the meridional velocity and θ the potential temperature in • C. For every density class, the temperature transport is integrated between the depth of the upper and lower limits of that density class given by the depth of the respective isopycnal z(x, y, σ 2 i ) and z(x, y, σ 2 i+1 ).For the temperature transport, the unit PWT is used to make clear the difference of the temperature transport to the mass-balanced OHT.Even though the temperature transport does not hold mass balance, it is an appropriate choice for the calculation of the heat flux associated with the individual water masses.However, for the full integral, which is the sum of the individual components of T and gives the OHT, mass is conserved.In contrast to Talley (2003), we use σ 2 as density.
Through the relation of the density, in particular of the zonal density gradient, to the geostrophic transport of the AMOC by the thermal wind relation, we expect to find changes in the vertical structure where water mass properties and the potential density change.For the definition of individual water masses, we therefore perform a regression analysis for eastern boundary fields, western boundary fields, and the zonal mean fields of θ , S, and σ 2 on the AMOC at 26 • N for the HIST mean and RCP mean individually for annual mean values of θ , S, and σ 2 .The regression analysis then enables us to identify main water masses based on changes in the vertical profiles of the regression profile of θ, S and σ 2 on the AMOC (not shown), following Baehr et al. (2007).
Based on the regression analysis, we subdivide the temperature transport into four layers with fixed potential density ranges, with water masses associated with the surface circulation, an intermediate layer, North Atlantic Deep Water (NADW, including parts of the lower Labrador Sea Water = LSW, Denmark Strait Overflow Water = DSOW and Iceland-Scotland Overflow Water = ISOW) and abyssal waters from the Antarctic Bottom Water (AABW) (see Table A1).The temperature-salinity diagrams reveal changes in the water mass properties from the HIST mean to the RCP mean , with warmer and saltier waters for surface and intermediate layers in the RCP mean than in the HIST mean , yielding layers of lighter density in the RCP mean (Appendix Fig. A1).Since we find changes in the density classes and the associated water mass characteristics between the HIST mean and RCP mean , the water mass definitions differ between the HIST mean and RCP mean .The individual water masses are therefore determined separately.In RCP 8.5, the deep water formation in the North Atlantic is considerably reduced, leading to a change in the water mass distribution.It is not convenient anymore to define a traditional North Atlantic Deep Water, which is why the density classes used to define the individual water masses differ between the HIST mean and RCP mean .A finer separation of individual water masses is not feasible in the model.For each water mass with the respective density range, we then calculate the temperature transport following Eq.(A1) and the corresponding seasonal cycles.
The temperature transport for the individual water masses confirms that the northward heat transport is mostly confined to the surface layer in the tropical and subtropical North Atlantic in the HIST mean and RCP mean (Fig. A2).The intermediate water temperature transport increases from the subtropical to the subpolar gyre and dominates the total OHT between 40 and 55 • N in the HIST mean and between 40 and 70 • N in the RCP mean , reflecting the outcropping of the intermediate layer around 45 • N. The NADW contributes with a southward (negative) temperature transport to the total OHT in the subtropical gyre, representing a return flow at depth and thus partially compensates for the surface-intensified temperature transport in the HIST mean and RCP mean .In the HIST mean , the temperature transport of the NADW changes to northward (positive) transport in the subpolar gyre, considerably increases north of 50 • N and dominates the total OHT.Here, the NADW reaches the surface with outcropping isopycnals and thus includes both the northward flow at the surface and the southward flow at depth and determines the total OHT in the northern SPG.In the RCP mean the temperature transport of the NADW is considerably reduced in the subpolar North Atlantic and yields southward temperature transport in the whole North Atlantic.This reflects that the deep water formation in the North Atlantic is considerably reduced and the isopycnals of the NADW do not outcrop anymore in the subpolar gyre.shows only a small amount of transport in the North Atlantic in both the HIST mean and RCP mean .

A2 Seasonal cycle in the temperature transport in potential density coordinates
When analysing the seasonal cycle of the temperature transport in potential density coordinates, we find a strong seasonal cycle in the temperature transport in the surface layer (Fig. A3c-d) in both the HIST mean and RCP mean , with seasonal amplitudes of about 3 and 2 PW respectively.Between the HIST mean and RCP mean , the seasonal cycle pattern in the surface layer shifts considerably northward in the tropical and subtropical North Atlantic and thus alters the seasonal cycle between 20 to 30 • N with temporal shifts of 4 to 6 months in the minimum and maximum.Furthermore, the seasonal cycle in the surface layer generally intensifies in the subpolar gyre in the RCP mean .The surface layer seasonal cycle can be assumed to be mostly wind-driven in the tropical North Atlantic and the subtropical gyre, so that the seasonal cycle also closely follows the Ekman heat transport seasonal cycle.
In the intermediate layer the temperature transport also indicates a relevant contribution to the OHT seasonal cycle (Fig. A3e-f).In the tropical and subtropical North Atlantic, the seasonal cycle of the intermediate water is mainly opposite to the seasonal cycle of the surface layer in both the HIST mean and RCP mean and thus partly compensates for the seasonal cycle in the surface layer.From the HIST mean to the RCP mean , the pattern shows shifts in the seasonal cycle of about 1 month to later months, but no clear northward shift like in the surface layer.The seasonal cycle in the subpolar gyre indicates a general phase shift of up to 6 months from the HIST mean to the RCP mean , with a shift of the maximum from summer to winter between approximately 40 to 50 • N and a shift of the maximum from winter to spring between 50 and 60 • N. In the NADW (Fig. A3g-h), substantial changes occur resulting from changes in the water mass formation in the North Atlantic.In the HIST mean , the formation of NADW is present and leads to a seasonal cycle in the temperature transport of the NADW, giving an important contribution especially in the subpolar gyre.In the RCP mean , the seasonal cycle is weakened in the remaining temperature transport of the NADW, with a decrease in the seasonal amplitude, thus showing a surface-ward shift of the processes acting on the OHT seasonal cycle, especially in the subpolar gyre.
The AABW seasonal cycle is generally weak and thus does not considerably contribute to the full OHT seasonal cycle (Fig. A3i-j).Still, we found a seasonal cycle in the HIST mean .In the RCP mean we found changes in the seasonal cycle with a northward shift of the pattern and also latitudedependent temporal shifts.These changes in the AABW might result from changed dynamics in the Southern Ocean that are also influencing the global ocean circulation, which we do not focus on in this study and thus need further analysis.

Figure 2 .
Figure 2. The barotropic stream function (Sv = 10 6 m 3 s −1 ) in (a) the historical simulation (1850-1950) and (b) RCP 8.5 (2200-2300) for the time mean over the respective periods.The thick black line shows the zero contour in the historical simulation.Contour interval is 5 Sv.(c) Zonal mean zonal wind (at 1000 hPa) averaged over the North Atlantic region (90 • W to 10 • E) for the historical simulation (black) and RCP 8.5 (red), indicating the northward shift of the westerlies.

Figure 3 .
Figure 3. (a) The (global) Eulerian mean mass transport stream function (in 10 10 kg s −1 with zonal averaging at fixed pressure) for the historical simulation (1850-1950, black contours) and RCP 8.5 (2200-2300, red contours) between 20 • S and 80 • N. (b) Vertical profile of the zonal-mean zonal wind (m s −1 ) over the North Atlantic averaged from 10 • E to 90 • W in the historical simulation (1850-1950, black contours) and RCP 8.5 (2200-2300, colours) for the time mean over the respective periods.(c) The difference in the zonal-mean zonal wind between RCP 8.5 and the historical simulation.Contour interval is 2 × 10 10 kg s −1 in (a), 1 m s −1 in (b) and 0.5 m s −1 in (c).

Figure 4 .
Figure 4. (a) and (b) show the AMOC in depth coordinates.(c) and (d) show the AMOC in density coordinates in the North Atlantic.(a) and (c) show the historical simulation (1850-1950) and (b) and (d) show RCP 8.5 (2200-2300).Contour interval is 2 Sv.

Figure 6 .
Figure 6.The Atlantic meridional heat transport seasonal cycle (in PW) in the historical simulation (1850-1950, (a) and (c)) and RCP 8.5 (2200-2300, (b) and (d)).The OHT seasonal cycle in the historical simulation (1850-1950, black) and RCP 8.5 (2200-2300, red) (e) at 30 • N in the subtropical gyre and (f) at 45 • N in the subpolar gyre.(a) and (b) show the full seasonal cycle and (c)-(f) show anomalies relative to the annual mean at every latitude.Colour interval in (a)-(d) is 0.02 PW.

Figure 7 .
Figure 7.The Atlantic meridional heat transport seasonal cycle (in PW) in the historical simulation (1850-1950, (a) and (c)) and RCP 8.5 (2200-2300, (b) and (d)) related to the variability in the temperature field (upper panels) and to variability in the velocity field (lower panels).Shown are anomalies relative to the annual mean at every latitude.Colour interval is 0.02 PW.

Figure 8 .
Figure 8.The zonal-mean zonal wind (ms −1 ) over the North Atlantic averaged from 10 • E to 90 • W and the associated Ekman heat transport seasonal cycle (PW).(a-b) Vertical profile of the zonal wind for historical conditions (1850-1950, black contours) and RCP 8.5 (2200-2300).Contour interval in (a) and (b) is 1 m s −1 .(c-d) Seasonal cycle of the surface wind at 30 and 45 • N for historical conditions (1850-1950, black) and RCP 8.5 (2200-2300, red).(e-f) Seasonal cycle of the Ekman heat transport (in PW) in the historical simulation (1850-1950, left panel) and RCP 8.5 (2200-2300, right panel).(g-h) Seasonal cycle of the Ekman heat transport at 30 and 45 • N for historical conditions (1850-1950, black) and RCP 8.5 (2200-2300, red).Shown are anomalies relative to the annual mean at every latitude.Contour interval in (e) and (f) is 0.02 PW.Please note the different vertical axes in (c), (d) and (g), (h).

Figure 9 .
Figure 9.The seasonal cycle of (a-b) the overturning component and (c-d) the gyre component (in PW) in the historical simulation (1850-1950, left panel) and RCP 8.5 (2200-2300, right panel).Shown are anomalies relative to the annual mean at every latitude.Contour interval is 0.02 PW.

Figure A1 .
Figure A1.Temperature-salinity diagrams at 26 • N for the historical simulation (1850-1950 in black) and RCP 8.5 (2200-2300 in red) for (a) zonal mean, (b) western boundary, and (c) eastern boundary temperatures and salinities.Water masses show the surface, intermediate, North Atlantic Deep Water (NADW) and Antarctic Bottom Water (AABW).The mean of the temperature-salinity diagrams averaged over density layers is shown in grey and black.

Figure A2 .
Figure A2.(a) Time-mean temperature transport in the surface layer (red) and intermediate layer (yellow, in PWT) compared to the total OHT (black) and (b) time-mean temperature transport in the North Atlantic Deep Water (NADW, magenta) and Antarctic Bottom Water (AABW, blue) (in PWT) compared to the total OHT.The historical simulation (1850-1950) is shown by solid lines, RCP 8.5 (2200-2300) by dashed lines.

Figure A3 .
Figure A3.Contributions to the total OHT seasonal cycle from the temperature transport (PWT) of individual water masses calculated in potential density classes in the historical simulation (left) and RCP 8.5 (right): (a-b) total OHT, (c-d) surface layer, (e-f) intermediate layer, (g-h) NADW and (i-j) AABW.Shown are anomalies relative to the annual mean at every latitude.Contour interval is 0.02 PWT.
The temperature transport of the intermediate water shows only little changes, but it replaces and even intensifies the northward temperature transport of the NADW in the subpolar gyre in the RCP mean .The AABW EarthSyst.Dynam., 8, 129-146, 2017www.earth-syst-dynam.net/8/129/2017/