Land–sea temperature contrasts at the Last Interglacial and their impact on the hydrological cycle

Due to different orbital configurations, high northern latitude summer insolation was higher during the Last Interglacial period (LIG; 129–116 thousand years before present, ka) than during the pre-industrial period (PI), while high southern latitude summer insolation was lower. The climatic response to these changes is studied here with focus on the Southern Hemisphere monsoons, by performing an equilibrium experiment of the LIG at 127 ka with the Australian Earth System Model, ACCESS-ESM1.5, as part of the Paleoclimate Model Intercomparison Project 4 (PMIP4). Simulated mean surface air temperature between 40 and 60 N over land during boreal summer is 6.5 C higher at the LIG compared to PI, which leads to a northward shift of the Intertropical Convergence Zone (ITCZ) and a strengthening of the North African and Indian monsoons. Despite 0.4 C cooler conditions in austral summer in the Southern Hemisphere (0–90 S), annual mean air temperatures are 1.2 C higher at southern mid-latitudes to high latitudes (40–80 S). These differences in temperature are coincident with a large-scale reorganisation of the atmospheric circulation. The ITCZ shifts southward in the Atlantic and Indian sectors during the LIG austral summer compared to PI, leading to increased precipitation over the southern tropical oceans. However, weaker Southern Hemisphere insolation during LIG austral summer induces a significant cooling over land, which in turn weakens the land–sea temperature contrast, leading to an overall reduction (−20 %) in monsoonal precipitation over the Southern Hemisphere’s continental regions compared to PI. The intensity and areal extent of the Australian, South American and South African monsoons are consistently reduced in LIG. This is associated with greater pressure and subsidence over land due to a strengthening of the Southern Hemisphere Hadley cell during austral summer.


Introduction
Antarctic ice cores suggest that the Last Interglacial period (LIG; ∼ 129-116 thousand years before present, ka), also known as Marine Isotope Stage 5e or the Eemian, was most likely the warmest interglacial of the last 800 ka . Paleoproxy records suggest that annual mean sea surface temperatures (SSTs) were about ∼ 0.5 • C (Hoffman et al., 2017) to ∼ 1.1 • C  above pre-industrial (PI) values at the LIG in the North Atlantic. The summer warming at high northern latitudes on land was particularly pronounced with estimated temperatures 4 to 5 • C above PI values (CAPE-Last Interglacial Project Members, 2006) and a 3 to 11 • C warming over Greenland (NEEM community members et al., 2013;Landais et al., 2016). It has also been suggested that LIG Southern Ocean SSTs were ∼ 1.8 • C higher than PI values .
Global mean sea level was ∼ 6 to 9 m higher during the LIG than the PI values (Kopp et al., 2009;Dutton and Lambeck, 2012), with Greenland ice sheets contributing 0.6 to 3.5 m (Dutton et al., 2015), and an Antarctic ice-sheet contribution likely greater than 6 m (Kopp et al., 2009; Published by Copernicus Publications on behalf of the European Geosciences Union. 870 N. K.-H. Yeung et al.: Monsoons at the LIG et al., 2019). Despite its importance, there are still a lot of uncertainties associated with the processes leading to icemass loss at the LIG. Even though paleoproxy records provide constraints on the LIG climate, low spatial and temporal resolution and uncertainties in transfer functions add uncertainties to the climate response to LIG boundary conditions. Numerical simulations of the LIG can thus improve our understanding of the climate processes and feedbacks at play.
The LIG equilibrium simulation (lig127k) is one of the highest-priority experiments of the Paleoclimate Modeling Intercomparison Project 4 (PMIP4) designated simulations in the Coupled Model Intercomparison Project (CMIP6) . It primarily aims to examine the climate response due to changes in orbital configuration at a time when atmospheric greenhouse gas concentrations and continental configurations were similar to PI values (Table 1). At the LIG, the Earth's orbit had a larger eccentricity, with the timing of perihelion closer to the boreal summer solstice (Berger, 1978). Together with a greater axial tilt of the Earth, it led to higher insolation north of 40 • S between April and September, with a maximum anomaly of ∼ 70 W m −2 at high northern latitudes in June. Insolation was generally lower south of 60 • N between October and March and particularly in the Southern Hemisphere (SH) in December and January, with insolation anomalies reaching −45 W m −2 compared to PI values (Fig. 1).
A recent study presented the large-scale features of the PMIP4-CMIP6 lig127k experiment as deduced from 17 participating climate models (Otto-Bliesner et al., 2021). Compared to PI, strong warming is shown over Northern Hemisphere (NH) continents during June, July and August (JJA), while a cooling is simulated in December, January and February (DJF), due to the seasonal character of insolation anomalies (Otto-Bliesner et al., 2021). This leads to a substantial reduction in the boreal summer Arctic sea-ice extent, while there is little change in maximum sea-ice area during winter (Kageyama et al., 2021). The multi-model study by Kageyama et al. (2021) is in broad agreement with available paleoproxy records showing that regions south of 78 • N in the Atlantic and Nordic Seas were seasonally ice-free, though model-data comparison north of 78 • N is difficult due to ambiguous interpretations of proxy data.
The PMIP4 lig127k ensemble mean shows that boreal summer monsoonal precipitation is enhanced over northern Africa (and extends into Saudi Arabia), India and southeast Asia, and northwestern Mexico, while in the SH, austral summer monsoonal precipitation decreases over Australia, southern Africa and South America (Otto-Bliesner et al., 2021). Although the model spread for precipitation is large, the models generally agree on the sign of change in area-averaged monsoonal precipitation, except for the South Asian and Australian monsoons. While studies based on proxy records consistently demonstrate a strengthening of the African and Indian monsoons (e.g. Magiera et al., 2019;Orland et al., 2019;Rohling et al., 2002), the precipitation changes in SH are less clear. A compilation of LIG precipitation proxy records with near-global coverage and a multimodel-data comparison are presented in Scussolini et al. (2019). The study includes 138 sites based on a range of proxies. Most of the data suggest an increase in NH annual mean precipitation during the LIG relative to the PI, with the exception of a small number of individual proxy sites. In the SH, the proxy signal is less consistent and spatially heterogeneous, with only partial model-data agreement.
In this study we present the large-scale climatic features of the LIG equilibrium experiment (lig127k) as simulated by the ACCESS-ESM1.5 model, compared to the pre-industrial experiment (Ziehn et al., 2020), and to available paleoproxy records. We also explore the changes in austral summer precipitation in the SH.

Model description and experimental design
2.1 ACCESS-ESM1.5 model description ACCESS-ESM1.5 (Ziehn et al., 2020) is an updated version of ACCESS-ESM1 (Law et al., 2017). The differences between ACCESS-ESM1.5 and ACCESS-ESM1 are relatively small, with the majority of the changes concerning the land surface and ocean model.  Kowalczyk et al., 2013) as land surface model ( Table 2). The ocean component is the NOAA/GFDL Modular Ocean Model version 5 (MOM5; Griffies, 2014) with the same configuration as the ocean model component of ACCESS1.0 and ACCESS1.3 (Bi et al., 2012). Sea ice is simulated using the LANL CICE4.1 model (Hunke and Lipscomb, 2010), which has the same horizontal grid as the ocean with five thickness classes. Coupling of the ocean and sea ice to the atmosphere is achieved through the OASIS-MCT coupler (Valcke, 2013). The physical climate model configuration used here is similar to the ACCESS1.3 model, which contributed to the Coupled Model Intercomparison Project Phase 5 (CMIP5) (Bi et al., 2012). The spatial resolutions of model components are listed in Table 2.
The carbon cycle is included in ACCESS through the Nutrient, Phytoplankton, Zooplankton and Detritus (NPZD) model WOMBAT (World Ocean Model of Biogeochemistry and Trophic dynamics; Oke et al., 2013), and through the land surface model CABLE and its biogeochemistry module CASA-CNP (Wang et al., 2010), with CASA-CNP being run with nitrogen and phosphorus limitation.
In the CABLE configuration applied here, there are a total of 13 plant functional types (PFTs), including 10 vegetated types and 3 non-vegetated types (lake, land-ice, bare ground). For land-ice, CABLE does not allow fractional amounts such that relevant grid cells must be all permanent ice, effectively  limiting these cells to Greenland and Antarctica. CABLE calculates gross primary production (GPP) and leaf respiration at every time step using a two-leaf canopy scheme (Wang and Leuning, 1998) as a function of the leaf area index (LAI). LAI is calculated prognostically based on the size of the leaf carbon pool and the specific leaf area. Here the PFT is fixed such that vegetation is static, but LAI is interactive.
Biases in the ACCESS-ESM1.5 are discussed in Ziehn et al. (2020). In boreal summer, India and North America show signs of a warm bias, with a dry bias over India. In  austral summer, there are warm biases over the equatorial regions in South America and Africa. By comparison, Australia's biases in temperature and precipitation are very small.

Experimental design
The Last Interglacial is one of the two interglacial periods included in PMIP4. The equilibrium experiment of the Last Interglacial, denoted lig127k, is classified as a Tier 1 PMIP4-CMIP6 experiment. The initial conditions of the lig127k experiment were derived from a pre-industrial simulation (1850 CE, piControl) (Ziehn et al., 2020), which follows the CMIP6 protocol (Eyring et al., 2016). piControl was integrated for 1000 years, and the average of the last 100 years serves as a reference to which the lig127k experiment is compared.
The lig127k experiment follows the lig127k protocol (Table 1; Otto-Bliesner et al., 2017), with specific forcing values described in Table 1. As the solar constant in the piControl experiment follows CMIP5-PMIP3 guidelines (1365.65 W m −2 ), it has a slightly different value to the CMIP6 protocol (1360.75 W m −2 ). The solar constant in lig127k is set equal to the one in piControl to allow a direct comparison between them. The experiment is integrated for 650 years, and we are presenting the last 200 years of that run. During the last 100 years, changes in globally averaged SST are +0.11 • C, changes in deep ocean temperature are +0.043 • C and changes in salinity in the Southern Ocean are less than 0.005 psu, which suggests that our experiment has equilibrated sufficiently.
Since the orbital parameters of LIG and PI are different (Table 1), a fixed-angular definition of months is required to achieve a valid comparison between lig127k, piControl and proxy data. The length of each month should be defined by a fixed number of degrees of the Earth's orbit, as opposed to number of days. Therefore, the outputs of lig127k are adjusted following Bartlein and Shafer (2019). It is essential to consider this paleo-calendar effect for a correct interpretation of results.

Results
As the maximum insolation anomalies between the LIG and PI values occur in June (+70 W m −2 at 80 • N) and December (−45 W m −2 at 40 • S) ( Fig. 1), we here focus on climatic changes occurring in JJA and DJF.

Changes in surface temperature and sea ice
Due to the large insolation anomalies in the NH during boreal summer ( Fig. 1), simulated mean JJA surface air temperatures are 2.3 • C higher in the NH at the LIG compared to PI values ( Fig. 2b), in agreement with terrestrial proxy reconstructions from the region (Axford et al., 2011;Francis et al., 2006;Fréchette et al., 2006;McFarlin et al., 2018;Melles et al., 2012;Plikk et al., 2019;Salonen et al., 2018). The simulated boreal summer warming is maximum between 40 and 60 • N, averaging +6.5 • C over land, in line with the PMIP4 lig127k multi-model mean (Otto-Bliesner et al., 2021). Similarly, compared to the PI simulation, boreal summer SSTs are ∼ 2.5 • C higher in the North Pacific, the North Atlantic and the Nordic Seas, and up to 4 • C higher in the Labrador Sea (Fig. 2d). This high-latitude warming is associated with a reduction in boreal summer Arctic sea-ice area (Fig. 2d), with a maximum of 63 % reduction in sea-ice area in September (Figs. S1, S2 in the Supplement). North of 40 • N in the North Atlantic and Norwegian Sea, 16 paleoproxy records suggest higher SSTs during boreal summer at the LIG and 9 suggest lower SSTs, with a range of −8.7 to +5.7 • C, and a median of +1.5 • C (Fig. 2d). Out of these 25 records, simulated SSTs agree with the anomaly sign of 16 of the paleoproxy records. The main regions of model-data disagreement, where proxy records suggest a cooling whereas the model suggests a warming, are in the Norwegian Sea and off the Iberian margin.
Due to the strong sea-ice melting in boreal summer, the simulated boreal winter Arctic sea-ice area remains 8 % smaller at the LIG compared to PI values in spite of a higher rate of boreal autumn sea-ice formation (Figs. 2c, S1). In addition, enhanced deep water formation is simulated in the Labrador Sea during the LIG (not shown), inducing a ∼ 2.5 • C increase in winter SSTs in that region (Fig. 2c). However, paleoproxy records suggest there was no deep-water formation in the Labrador Sea during the LIG (Hillaire-Marcel et al., 2001), and the simulated SST increase in the Labrador Sea during JJA is in contrast with some of the SST paleoproxy records in that region (Fig. 2d;Capron et al., 2014Capron et al., , 2017. There is evidence of meltwater discharge from the Greenland ice sheet during the early part of the LIG (Galaasen et al., 2014(Galaasen et al., , 2020Tzedakis et al., 2018), which could have suppressed deep ocean convection in the Labrador Sea and led to a cooling there (e.g. Tzedakis et al., 2018), thus explaining the discrepancy.
The simulated strength of the Atlantic Meridional Overturning Circulation (AMOC), as represented by the maximum meridional stream function at 26 • N in the Atlantic basin, is stronger at the LIG (21.8 Sv) than during the PI period (18.3 Sv). The AMOC strengthening and reduced Arctic sea-ice cover lead to ∼ 3 • C higher winter SSTs in the northern North Atlantic and air surface temperatures over the ocean at high northern latitudes (+3.3 • C in 60-90 • N) (Fig. 2a, c). Together with stronger NH insolation, the annual mean NH (0-90 • N) surface air temperature is 1.4 • C higher at the LIG compared to PI values (Fig. 3b).
Due to the lower magnitude of insolation in austral summer, simulated DJF SH air temperatures are lower at middle and low latitudes during the LIG compared to PI. This cooling is enhanced over land, where the anomalies can be as low as −5.4 • C in India (Fig. 2a). SSTs between 40 • N and 40 • S also drop by 0.5 • C on average during DJF, in good agreement with most proxy records in mid-latitudes. The largest SST drop at low latitudes is simulated in the Bay of Bengal, with an anomaly of −3 • C (Fig. 2c). A ∼ 2 • C SST decrease is also simulated in the western equatorial Pacific and in the equatorial Atlantic. However, despite lower austral summer insolation at high southern latitudes, warmer conditions are simulated in DJF at the LIG compared to PI values in the Southern Ocean, associated with a large decrease in sea-ice area (−43 %) (Figs. 2a, c and S1).
Compared to PI, the LIG insolation reaching 60 • S is only 5 to 15 W m −2 larger between mid-April and mid-September (Fig. 1). However, this relatively small positive insolation anomaly reduces the growth of Antarctic sea ice between April and September, with the simulated maximum Antarc-tic sea-ice area in September being 31 % smaller during the LIG than during the PI period (Fig. S1). Despite lower insolation, Antarctic sea-ice area reaches a minimum in February that is 46 % smaller at the LIG than at PI. This prominent reduction in Antarctic sea-ice area is accompanied by a marked temperature increase in the Southern Ocean all year round (Fig. 2). Simulated SSTs are 2 to 3 • C higher in the Southern Ocean during austral summer (Fig. 2d), while annual mean air temperatures over Antarctica increase close to the coast by ∼ 4 • C (Fig. 3b). The simulated Southern Ocean warming between 50 and 60 • S is in agreement with SST proxy records, however it is underestimated between ∼ 40 and 50 • S   (Fig. 2c). While the simulated warming is mostly confined to the south of 45 • S, proxy records suggest the warming could have reached further north, particularly in the Atlantic Ocean. The differences in seasonal insolation makes the SH annual mean surface temperature 0.5 • C warmer in the LIG compared to PI, with a higher mean warming of 1.3 • C when averaged south of 50 • S (Fig. 3b).

Precipitation change
Simulated annual mean precipitation anomalies are shown in Fig. 3a and compared to a recent compilation of LIG precipitation reconstructions based on a range of proxy records (including pollen, speleothems, landscape features, loess and sediment composition) (Scussolini et al., 2019). In the NH the model is in agreement with 64 out of 109 proxy records (59 %), i.e. where the model and proxy data show the same sign of change, or where the change in the simulations is < 100 mm yr −1 and the corresponding proxy suggests no change. Although the agreement is not compellingly strong, it is worth pointing out that the majority of disagreements arises in central Europe where reconstructions are abundant and mostly display wetter conditions, whereas the simulation shows a slight decrease in precipitation. In contrast, there is a good model-data agreement in northern Africa, the Middle East, Asia and North America.
As seen in Fig. 3a, the largest changes in annual mean precipitation are simulated in the tropics where both the rainfall mean and variability are higher. Annual precipitation increases over land in the northern tropics, particularly over the African Sahel (> +300 %), South Asia (+100 %) and Central America (+40 %). Coinciding with increasing precipitation, the significant cooling (∼ −3 • C; Fig. 3b) over the Sahel and India is associated with stronger evaporation over land during boreal summer (not shown). All ocean regions in the northern tropics are simulated to be wetter, except for the South China Sea and Philippine Sea. In general there is good agreement with proxy records in the northern tropics.
In contrast, the model generally simulates drier conditions over the southern tropics during the LIG (Fig. 3a), particularly over South America (−20 %), South Africa (−40 %) and northern Australia (−40 %). This decrease in precipita-  Capron et al., 2014Capron et al., , 2017; dots for the compilation by Hoffman et al., 2017; triangles for Arctic terrestrial proxies; Axford et al., 2011;Francis et al., 2006;Fréchette et al., 2006;McFarlin et al., 2018;Melles et al., 2012;Plikk et al., 2019;Salonen et al., 2018). The preindustrial reference is 1850 CE for model anomalies, 1870-1899 for Capron et al. (2014Capron et al. ( , 2017 and 1870-1889 for Hoffman et al. (2017). tion mostly occurs in DJF, during the SH monsoon season (Fig. 4c). In addition, this precipitation reduction is consistent with an overall increase in mean sea-level pressure over the SH land (Fig. 4f). Therefore, the simulation suggests a major change in precipitation in the tropics, associated with a shift in the Intertropical Convergence Zone (ITCZ) and a weakening of the convergence zones in the SH, which will be discussed in the next section.

ITCZ changes
The ITCZ position is generally identified as the latitudinal band of maximum precipitation. Previous studies have demonstrated that the position of the ITCZ aligns with the zero-energy flux equator, i.e. where the atmospheric meridional energy flux divergence vanishes (Schneider et al., 2014;Ceppi et al., 2013). In the present climate, this occurs north of the Equator, thus placing the ITCZ in the NH. This is essentially due to an interhemispheric energy imbalance, caused primarily by the northward oceanic heat transport by the Atlantic Meridional Overturning Circulation (AMOC). The net northward oceanic heat transport to the NH is compensated by a southward atmospheric heat transport via a northward-displaced Hadley cell and the positioning of the ITCZ north of the Equator. Therefore, one would expect that an interhemispheric temperature gradient would drive a cross-equatorial atmospheric energy flux, which in turn de- (b) Annual mean surface air temperature anomalies ( • C) with proxy data (filled markers: squares for the compilation by Capron et al., 2014Capron et al., , 2017; triangles for Arctic terrestrial proxies; Landais et al., 2016;NEEM community members et al., 2013;Yau et al., 2016). (c) Annual mean sea surface temperature anomalies with proxy data (filled markers: squares for the compilation by Capron et al., 2014Capron et al., , 2017; dots for the compilation by Hoffman et al., 2017), and contours of annual sea-ice concentration at 15 % overlaid (blue: LIG; yellow: PI).
termines the position of the ITCZ towards the warmer hemisphere (e.g. Schneider et al., 2014).
As seen in Fig. 5h, zonally averaged precipitation in JJA displays a slight northward shift of the ITCZ at the LIG compared to PI. Although this northward ITCZ shift is seen in all ocean basins, there are differences in the magnitude of the peak precipitation. The peak is 9 % stronger in the Pacific sector (130 • E to 70 • W), but 39 % weaker in the Atlantic sector. In the Indian sector (0 to 130 • E), even though the ITCZ location is less defined, precipitation is higher between 5 • S and 20 • N at the LIG. In short, the ITCZ shifts northward in the Pacific and Atlantic sectors in JJA compared to PI. This consistent northward shift during JJA can be explained by the higher NH summer temperatures, which accentuate the interhemispheric temperature gradient.
The zonally averaged precipitation in DJF shows a more complex picture for the ITCZ, with an increase in strength (by 10 %) at 5 • S, while precipitation at 5 • N decreases by 23 % (Fig. 5d). However, the DJF precipitation response across basins varies significantly. In the Indian sector, there is a southward shift (∼ 3 • ) and slight strengthening of the ITCZ. In contrast, in the Pacific sector, which displays a double ITCZ in DJF in both PI and LIG periods, there is a weakening and northward shift (∼ 1 to 4 • ) of the precipitation peaks at 10 • S and 7 • N. Similarly, in the Atlantic sector, a ∼ 25 % weakening of DJF precipitation at 5 • N during the LIG is simulated, while there is a strengthening of the ITCZ peaks at 5 • S (Figs. 4a-c, 5c). The simulation thus displays a southward ITCZ shift over the Atlantic and Indian Oceans, but a northward shift in the Pacific Ocean.  These differences in longitudinal responses are associated with changes in large-scale atmospheric circulation. Since low-latitude precipitation is associated with monsoon systems, we will now look into more detail at the precipitation changes occurring in each of the monsoon regions.

Precipitation changes in monsoon regions
Monsoon domains are defined as regions in which the precipitation during the monsoon season is (1) greater than the dry season by at least 2.5 mm d −1 , and (2) responsible for at least 55 % of the annual precipitation (Wang et al., 2011). For the NH, May-September is used as the monsoon wet season while November-March is the dry season. The reverse is adopted for the SH, i.e. November-March is the wet season, while the May-September is the dry season. As shown in Fig. 6a, the model simulates a general expansion of the monsoon domains in the northern tropics, also associated with increased precipitation rates, whereas there is a contraction of the monsoon domains and reduced precipitation in the southern tropics.
The North African monsoon domain expands significantly into the Sahara region. This expansion is associated with enhanced southwesterly winds. The Indian monsoon also strengthens and expands due to intensified onshore winds from the Arabian Sea and convergence inland (Fig. 6a). On the other hand, a contraction of the monsoon domain over the Philippine Sea and South China Sea is simulated and attributed to a northeastern wind anomaly associated with trade winds strengthening in MJJAS.
As evident from Fig. 6b, there is a marked difference in NDJFM precipitation anomalies over the SH land and ocean regions during LIG relative to PI. To investigate this difference further, we separate the simulated tropical precipitation anomalies over land and ocean (Fig. 7). The metrics in Fig. 7 have been calculated using an adjusted paleo-calendar from monthly outputs (Bartlein and Shafer, 2019). However, Brierley et al. (2020) suggest that this method might accentuate the anomalies. As seen in Fig. S3, non-calendaradjusted results are similar to the calendar-adjusted ones (differences ∼ < 5 %), even though the calendar-adjusted results are slightly dry-biased for most precipitation-related metrics. The major difference is the total precipitated water for the North African monsoon (NAF), in which the calendaradjusted results suggest a ∼ 72 % increase, whereas the noncalendar-adjusted results suggest a ∼ 90 % increase.
Precipitation over land is generally higher in the northern tropics, with an increase of over 60 % in total precipitated water for the NAF (Fig. 7). The South Asian Monsoon (SA) also displays a large increase in precipitated water (> 60 %), mainly due to a large increase in areal extent (+ >55 %), as the increase in area-averaged precipitation is small (∼ 5 %). The North American monsoon (NAM) is slightly weaker, with a slight decrease in area-averaged precipitation rate (−0.3 %), areal extent (−2.2 %) and total precipitated water (−2.5 %). Compared to PI, all NH monsoon domains during the LIG experience an increase in air surface temperature during monsoon seasons. While there is significant cooling during JJA over the Sahel at ∼ 15 • N and India due to stronger evaporation over land (Fig. 2b), this is compensated by the warming in higher latitudes.
The contrary is simulated in the SH, with higher precipitation simulated over the ocean and lower precipitation, by at least 10 %, over land in the SH monsoon regions at the LIG compared to PI values (Figs. 6b and 7). In the Indo-Australian region, there is a northward shift and weakening of the South Pacific Convergence Zone (SPCZ). This leads to a precipitation increase over the western equatorial Pacific. Precipitation also increases at the southeastern edge of the SPCZ (Figs. 4c, 6b). This is linked to the weakening of the south Pacific high (Fig. 4f) and the associated westerlies south of 40 • S and the easterlies between 15 and 35 • S (Fig. 6b). The Australian monsoon (AUS) displays the greatest decline, with a decrease in total precipitated water over land by over 70 %, and a ∼ 60 % decrease in areal extent as the monsoon domain contracts northward. Drier conditions (< −1 mm d −1 ) are also simulated over eastern Australia, even though it is not being included in the monsoon domain.
In contrast, the Indian Ocean Convergence Zone (IOCZ) shifts southward, which leads to a ∼ 8 % intensification of precipitation in the Indian Ocean between 10 and 20 • S, associated with a strengthening of northwesterly surface wind north of the IOCZ (Figs. 6b and 7). This southward shift is associated with an IOCZ weakening, which induces a 35 % decrease in total monsoonal precipitation over land in the South African monsoon region (SAF), and a 15 % decrease in the areal extent of the SAF. Central southern Africa (15 • S, 30 • E) displays the greatest decrease in summer precipitation. The monsoon domain contracts along the northsouth direction but expands westward close to the Equator on the west coast (5 • S, 15 • E). This could be linked to the southward shift of the ITCZ in the southern tropical Atlantic Ocean (Fig. 6b).
Area-averaged precipitation associated with the South American monsoon (SAM) decreases by 21 % (Fig. 7), while the areal extent only decreases slightly as the monsoon domain remains spatially very similar to the PI values (Fig. 6b). This means that the monsoon reduction is primarily due to weaker precipitation over the same region, with drier conditions more prevalent over the west coast and the southern boundary of the monsoon domain (25 • S), suggesting a weakening of the South Atlantic Convergence Zone   Table S1. Pav: percentage change in area-averaged precipitation rate during monsoon season. Aav: percentage change in areal extent of regional monsoon domain. Totwater: percentage change in total precipitated water during monsoon season (mean precipitation rate over monsoon domain multiplied by areal extent). TAS: air surface temperature (in (SACZ; Carvalho et al., 2002). The Brazilian coast along 0 to 15 • S shows an increase in summer precipitation (+1 to +3 mm d −1 ) due to the southward shift of the ITCZ in the Atlantic Ocean, but this does not contribute much to the general monsoon activity since LIG rainfall levels remain low.
To a first order, the reduced precipitation over land in the southern tropics can be explained by the consistently colder conditions over land masses in SH low to middle latitudes during austral summer (Fig. 2a). Due to reduced landsea temperature gradients, colder conditions over land induce a weakening of the onshore winds (i.e. a weakening of the easterlies over Brazil, South Africa and northeastern Australia, and reduced northwesterlies in northwestern Australia), which tends to decrease moisture advection inland, and restrict convective activity over the SH land regions.
Due to the high heat capacity of the ocean, land masses are more sensitive to changes in insolation. As insolation is lower across most latitudes at the LIG compared to PI values during austral summer, the strongest anomalous cooling occurs over land (Fig. 2a), which leads to positive surface pressure anomalies (Fig. 4f). In particular, the strong cooling over southwestern Australia (Fig. 2a) is associated with an anomalously high surface pressure (Fig. 4f), blocking the monsoonal inflow. The situation is similar in India: the strongest cooling occurs over the region centred on India, which induces positive pressure anomalies over the region and the northern part of the Indian Ocean. On the other hand, negative pressure anomalies develop in the southern tropical Indian Ocean. As a result the IOCZ shifts southward.
While the reduced insolation in the SH during DJF would tend to reduce precipitation over the SH, changes in the global atmospheric circulation produce a southward shift of the ITCZ in the Indian and Atlantic Oceans (Sect. 3.2.1, Figs. 4c and 5a and c) that leads to higher precipitation over those tropical ocean regions (Fig. 7). In addition, the land-ocean contrast helps maintain this configuration via changes in zonal pressure gradient between land and adjacent oceans, creating local Walker-type circulation anomalies (with anomalous ascending motion over oceans and compensatory subsidence over land).
A strengthening of the Hadley circulation in the SH is simulated in DJF (Fig. 8). It contributes to the simulated drier conditions in the subtropics at ∼ 30 • S due to greater subsidence, as seen from the increase in surface pressures over land. The southern boundary of the Hadley cell also experiences a slight northward shift, from ∼ 36 to ∼ 33 • S (see the zero contour in Fig. 8), which pushes regions of high pressure in the subtropics to the north (Fig. 4f). This favours an anomalous subsidence and weaker convection over the SH convergence zones thus reducing monsoonal precipitation.

Discussion
At the LIG the insolation reaching Earth was different from PI, with higher insolation in JJA in the NH and lower insolation in DJF in the SH. In agreement with paleo-records, the ACCESS-ESM1.5 lig127k simulation presented here suggests a 2 to 4 • C SST increase in the North Atlantic as well as a 5 • C warming over land in the mid-northern latitudes in JJA. The simulated northern latitude temperature anomalies as well as JJA Arctic sea-ice cover are very close to the PMIP4 lig127k multi-model means (Kageyama et al., 2021;Otto-Bliesner et al., 2021). The simulated Arctic LIG sea-ice cover is in agreement with 16 out of 27 proxy records and suggests that the simulated LIG Arctic sea-ice cover might be slightly overestimated (Kageyama et al., 2021).
At low to mid-southern latitudes, simulated surface air temperature anomalies in the ACCESS-ESM are also very similar to the PMIP4 multi-model mean with ∼ 3 • C warming over land in JJA, and ∼ 2 • C cooling over land in DJF. However, the model simulates much warmer conditions over the Southern Ocean all year round, with values higher than the multi-model mean. This is concurrent with a large decrease in Southern Ocean sea ice at the LIG. While the simulated warming over the Southern Ocean throughout the year is at the higher end of the PMIP4 lig127k model range, the warming over Antarctica is at the lower end (Otto-Bliesner et al., 2021).
The simulated spatial distribution of annual precipitation anomalies (Fig. 3a) agrees well with the PMIP4 multi-model mean (Otto-Bliesner et al., 2021), with drier conditions over SH land regions including North Australia, South Africa and South America, while wetter conditions are simulated at ∼ 10 • S in the Atlantic Ocean, the Indian Ocean and the western equatorial Pacific Ocean. However, while our simulation suggests wetter conditions over the equatorial Pacific at 10 • N due to a strengthening of the ITCZ in this basin in JJA (Fig. 5f), this does not occur in the multi-model mean.
Reduced precipitation over land and increased precipitation over the ocean in DJF in low to mid-southern latitudes is also evident in the PMIP4 multi-model mean, indicating that the ACCESS-ESM1.5 lig127k simulation provides a good representation of the LIG features as simulated by coupled climate models. Despite the strong signal emanating from the lig127k simulations, these precipitation anomalies are not necessarily evident from SH paleoproxy records, highlighting the need for additional hydrological records from low and mid-southern latitudes. Furthermore, the lig127k is an equilibrium simulation, which does not take into account potential meltwater discharges from the Antarctic and Greenland ice sheets, and their associated impact on deep water formation and therefore variability in ocean and atmospheric circulation (e.g. Hayes et al., 2014;Rohling et al., 2019;Tzedakis et al., 2018). The time evolution across the LIG of the hydrological proxy records should thus be looked at in detail, and additional LIG experiments including North Atlantic and/or Southern Ocean meltwater pulses should be performed.
The orbital forcings and latitude-month insolation anomalies relative to PI values are similar between the LIG and mid-Holocene (6 ka). SH monsoons are also weakened and contracted during the mid-Holocene , with similar SH land-sea precipitation contrast patterns compared to lig127k. The reduced monsoonal precipitation in the mid-Holocene is largely attributed to changes in atmospheric mean flow (i.e. the Walker and Hadley circulations) and the decrease in net energy input . While an energetic approach is beyond the scope of this study, the weakening of SH monsoons in our lig127k simulation are indeed associated with weaker local insolation during the wet season, which leads to reduced surface air temperature (Fig. 2a) and increased surface pressure over land (Fig. 4f). One can therefore hypothesise that the weakening of SH monsoons in lig127k might also be associated with a similar decrease in net energy input. Furthermore, as the changes in the Walker and Hadley cells are not analysed in detail here, a closer examination of the relationship between SH monsoons and these large-scale atmospheric circulations is recommended for future studies.
Additional studies looking into the details of the mechanisms leading to changes in the SH monsoon systems, and their relationship to low-latitude modes of variability, such as the El Niño-Southern Oscillation and the Indian Ocean Dipole, are needed. Under LIG conditions, these modes of variability might be altered in terms of magnitude and spatial variation, which might have contributed to changes in rainfall variability and, to a lesser extent, mean precipitation over the monsoon regions. Indeed a recent study shows that ENSO variability was shown to be consistently reduced during the LIG compared to PI, with the ensemble mean of PMIP4 simulations suggesting a 20 % weakening of ENSO amplitude (Brown et al., 2020a). To what extent an ENSO weakening may have contributed to mean state changes over the SH monsoon system is unclear and a subject for future exploration.
A significant reduction in precipitation in the tropical regions of the SH would have impacted vegetation during the LIG. Changes in vegetation cover are not taken into account in our study, but the LAI was interactive in the model. The simulated change in LAI is consistent with precipitation. For example, the LAI is decreased during boreal summer and autumn at ∼ 50 • N across Eurasia and North America in regions with less summer rainfall during the LIG (Fig. S4). In contrast, increased precipitation over the Sahel and surrounding regions (Fig. 6a) corresponds to elevated LAI. This affects evapotranspiration, as an increase in LAI enhances canopy evapotranspiration, while reducing soil evaporation, and ultimately also alters the hydrological cycle.
It has been previously shown that due to changes in albedo and moisture availability, changes in vegetation might amplify the changes in precipitation (e.g. Messori et al., 2019). For example, a large increase in precipitation over the Sahel would lead to a greening of the Sahara (Hopcroft et al., 2017;Larrasoaña et al., 2013;Osborne et al., 2008;Pausata et al., 2020). The greening would tend to increase the sensible and latent heat fluxes into the atmosphere and produce a cyclonic circulation anomaly over the Sahara, whose anomalous westerly flow would transport more moisture from the neighbouring Atlantic Ocean into the region Patricola and Cook, 2007;Rachmayani et al., 2015). Additional simulations with interactive vegetation, or with prescribed changes in vegetation cover, should thus be performed to quantify the coupled effect of precipitation and vegetation changes.
Due to the importance of the SH monsoon systems for water availability, such reduced precipitation in the southern tropics in a past warmer world are concerning. However, since these negative precipitation anomalies mostly result from the strong cooling over land, such hydrological changes are not currently expected over the coming centuries under the RCP/SSP (Representative Concentration Pathway/Shared Socioeconomic Pathways) scenarios where future climate changes are due to greenhouse gas forcing and not to changes in orbital parameters. In fact, moisture budget analysis has shown that the SH monsoon expands and intensifies under the RCP8.5 scenario . Incidentally, lig127k shows increased precipitation at the southeastern edge of the SPCZ, which is associated with the weakening of the local high-pressure region. Such enhanced moisture at the eastern SPCZ margin is also linked to a reduction in trade wind inflow from the southeastern Pacific (Fig. 6b), as previously demonstrated by Lintner and Neelin (2008). Interestingly, CMIP5 models project drier conditions over the southeastern edge of the SPCZ due to the transport of dry subtropical air into the region (Brown et al., 2020b), thus suggesting a different mechanism can take place in a warmer climate. CMIP6 future projections indeed generally simulate no significant changes in the Australian, South African and South American monsoons by 2100 under all SSP scenarios, while drier conditions are simulated over these regions in JJA (Cook et al., 2020). In Australia, northern rainfall in DJFMAM is more constrained in CMIP6 than in CMIP5, and it is projected to experience a ∼ 2 % increase by the year 2090 under a high-emission scenario (RCP8.5 and SSP5-85; Grose et al., 2020), which is a small change compared to the decrease in our LIG simulation (Fig. 7).
In conclusion, drier conditions are simulated over SH land during austral summer in the lig127k experiment and all SH monsoons are found to be consistently weaker compared to PI. At the same time, summer precipitation over southern tropical oceans is higher, associated with a southward shift of the ITCZ in DJF in the Indian and Atlantic Oceans. The dry conditions are caused by reduced land-sea temperature contrast due to cooling over land, and also higher mean sea level pressure attributed from greater subsidence as the SH Hadley cell strengthens.
Author contributions. NKHY performed the bulk of model integration, analysis and writing. LM, KJM and AST provided support to the interpretation of results and writing. TZ and MC contributed to the model setup and troubleshooting.
Competing interests. The authors declare that they have no conflict of interest.

Special issue statement.
This article is part of the special issue "Paleoclimate Modelling Intercomparison Project phase 4 (PMIP4) (CP/GMD inter-journal SI)". It is not associated with a conference.
Acknowledgements. Computational resources were provided by the NCI National Facility at the Australian National University, through awards under the Merit Allocation Scheme, the Intersect allocation scheme, and the UNSW HPC at NCI scheme. Nicholas King-Hei Yeung also acknowledges the Research Training Program provided by the Australian government, a top-up scholarship provided by the Climate Change Research Centre and support from the ARC Centre of Excellence for Climate Extremes.
Financial support. This research has been supported by the Australian Research Council (grant nos. DP180100048, FT180100606 and FT160100495).
Review statement. This paper was edited by Julien Emile-Geay and reviewed by Josephine Brown and Anni Zhao.