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Aridity synthesis for eight selected key regions of the global climate system during the last 60 000 years

A compilation of the published literature on dust content in terrestrial and marine sediment cores was synchronized with pollen data and speleothem growth phases on the Greenland Ice Core Chronology 2005 (GICC05) time axis. Aridity patterns for eight key areas of the global climate system have been reconstructed for the last 60 000 years. These records have different time resolutions and different dating methods, i.e. different types of stratigraphy. Nevertheless, all regions analysed in this study show humid conditions during early Marine Isotope Stage 3 (MIS3) and the early Holocene or deglaciation, but not always at the same time. Such discrepancies have been interpreted as regional effects, although stratigraphic uncertainties may affect some of the proposed interpretations. In comparison, most of the MIS2 interval becomes arid in all of the Northern Hemisphere records, but the peak arid conditions of the Last Glacial Maximum (LGM) and Heinrich event 1 differ in duration and intensity among regions. In addition, we also compare the aridity synthesis with modelling results using a global climate model (GCM). Indeed, geological archives and GCMs show agreement on the aridity pattern for the Holocene or deglaciation, for the LGM and for late MIS3.


Introduction
Two of the main foci of palaeoclimate research today are (i) well-dated, high-resolution archives of past climate (e.g. marine and terrestrial sediments, speleothems, tree rings and ice cores) and (ii) modelling of global and regional characteristics with global climate models (GCMs), which include the main processes in the atmosphere, ocean, land and cryosphere as well as their coupling. Geological archives have the potential to provide information on the past states of climate variables at the global and regional level, and their evolution in time. The strength of a modelling approach, on the other hand, is to understand the processes of climate change and global teleconnections. A reliable model of past climate change should faithfully reproduce the observed climate patterns as reconstructed from geo-archives. We will test this prerequisite for a set of records that approximate past global aridity. This paper has emerged from the PalMod project, which among other things is developing a GCM time series of past global temperatures for the last glacial cycle. One prerequisite of the project was to work only with publicly available data sets. Thus, we had to use only available data sets from publicly accessible databases (PANGAEA, NOAA-NCDC, Neotoma (global pollen database), ice core database from the University of Copenhagen, SISAL (speleothem database) and EPD (European Pollen Database)). For the calculation of the aridity index, the most complete and best-dated records dating back to 60 000 years before 2000 CE (years b2k) with the highest possible sample resolution were used. We could not include the records that do not meet these requirements in the calculation of the aridity index. All data were plotted on the age scale b2k.
In this paper, we concentrate on published palaeoclimate reconstructions for aridity, which is one of the most important indicators of climate change. We have screened the pub-F. Fuhrmann et al.: Aridity synthesis for eight selected key regions of the global climate system lished palaeoclimate literature of the last 30 years to detect and select key areas. These key areas were defined by the proxy availability; i.e. pollen, dust and speleothem growth must provide three independent sources of information related to past precipitation. These areas were selected because they were the smallest possible regions meeting the following criteria: (i) records are publicly available from data repositories, (ii) the datasets are dated well and (iii) there is sufficient sample resolution of at least one sample per 250 years and as far back as possible up to 60 000 years b2k. Several highresolution data sets reaching as far as MIS3 (see Fig. S11 in the Supplement, dashed lines) are available in the literature but have not been included in this synthesis, either because these archives are too far away from the selected key regions to fit into a suitable synthesis or because they cover only a small part of the last 60 000 years. Some important records of palaeoclimatic research are not included because only one or two of the aridity proxies for the region are available and complementary data are not available. Many other cores are excellent archives but cannot be incorporated into the numerical calculation of the aridity index, because the data are not accessible from official data repositories. Sediment cores from, for example, Lake Tulane (Grimm et al., 2006), Bear Lake (Jiménez-Moreno et al., 2007), Lake Suigetsu (Bronk Ramsey et al., 2012), Petén-Itzá (Correa-Metrio et al., 2012) and Potrok Aike (Kliem et al., 2013) were not included in the aridity index as there were no other long time series with publicly available data sets beside pollen within the region of the archive. The excellent loess archive of Nussloch (Antoine et al., 2001;Moine et al., 2017) could not be used for the synthesis because no accessible data were available in official data repositories. The record of Dunaszekcso loess (Újvári et al., 2015) or pollen records from Tenaghi Phillipon (Pross et al., 2015) are not incorporated, because no data are available that covered at least a longer period of the last 60 000 years.
Dust is mainly deflated in regions with less than 200 mm yr −1 precipitation and thus indicates an arid climate (either subtropical or polar) (Pye, 1987). Speleothem growth needs dripping water in a cave, and thus rain or snow melt (Spötl and Mangini, 2002). Arboreal pollen implies more precipitation than in a landscape with abundant grass pollen. Accordingly, we do not evaluate the full breadth of information from these palaeoclimate proxies, but just reduce the evidence to its basic structure, which is aridity. The most faithful aridity indicator is dust, which indicates deserts, whereas grass indicates steppe landscapes. Throughout this synthesis, we use "climate improvement" for warmer and wetter climate conditions, whereas "climate deterioration" (or similar terms) is used for colder and drier climate. Figure 1 presents the key regions. The detailed evidence for each of the selected key regions and their well-dated and high-resolution proxy records are presented in Fig. 2 and Sects. S1-S7 in the Supplement. The discussion compares the synoptic aridity reconstruction for the time of the Last Glacial Maximum (LGM, 26 500-19 000 years b2k) and late MIS3 (32 000 years b2k) with GCM simulations. Mix et al. (2001) define the LGM from comparably stable conditions during the time interval of 23 000 to 19 000 years b2k. Clark et al. (2009) define the LGM by the maximum extent of the ice sheets and sea level low stand to 26 500 to 19 000 years b2k for most parts of the Northern and Southern Hemisphere. We follow the wider definition of Clark et al. (2009), which encompasses the regional differences in the results of this work.
We start the synthesis with central Europe: dust and pollen records from Eifel (Seelos et al., 2009;, which we compare with speleothem data from nearby Bunker Cave (Fohlmeister et al., 2012(Fohlmeister et al., , 2013Weber et al., 2018) as well as the Spannagel Cave in Austria (Holzkämper et al., 2004(Holzkämper et al., , 2005Spötl and Mangini, 2002). The speleothems of the Spannagel and Bunker caves show very similar growth patterns and can be combined (Fohlmeister et al., 2012). The maar sediment cores of the Eifel Laminated Sediment Archive (ELSA) project  show all Greenland stadials (GSs) and Greenland interstadials (GIs) in the time series of aeolian dust content (Dietrich and Sirocko, 2011;Seelos et al., 2009). Central Europe shows accordingly the same climatic structures that are well known in North Atlantic marine sediments (e.g. Hodell et al., 2013;McManus et al., 1994;Naafs et al., 2013) and Greenland ice cores (North Greenland Ice Core Project Members et al., 2004;Rasmussen et al., 2014;Svensson et al., 2008). This central European climate time series is then compared with the respective time series from all other key regions, which are documented in the Supplement.

Methods
The synthesis is based on pollen profiles from sediment cores, growth phases of speleothems and several dust proxies like grain size of aeolian fraction within sediment cores. We used the original stratigraphy of all records on the age scale of years b2k, but we are aware of a general error of up to ± 2000 years for all MIS3 dates.
Especially the growth phases of speleothems are a significant indicator for presence of mobile water. If a speleothem could grow, at least some precipitation occurred over the cave. If a speleothem does not grow (hiatus), either no precipitation or a change of the drip water system above the cave could be the cause. Most speleothem data sets also provide δ 18 O or other isotope measurements (Genty et al., 2003;Hoffmann et al., 2016;Wainer et al., 2009), which often have local characteristics; thus our index only uses growth phases as the most common and robust aridity indicator.
Pollen was divided into two classes for this work. Trees and shrubs (in the following only called tree pollen) have been grouped together because they require similar climatic conditions for their growth. Herbs and grasses (in the following only called grass pollen) were also combined. Trees re-  (Wessel and Smith, 1991). Regions are indicated by white boundaries. Crosses represent lake sediment cores, open circles represent marine sediment cores, the double dagger represents loess profile, diamonds represent speleothems and white stars represent ice cores. The map is colour coded for the elevation. quire a much higher amount of rainfall than grasses for their growth. A simple statement about the relative precipitation in the catchment area of the core can therefore be made using the tree / grass pollen ratio. In general, a higher amount of tree pollen indicates a warmer and wetter climate than high amounts of grass pollen. The temporal resolution of the pollen profiles is often low, but we have selected the available data with the highest resolution from each selected region for comparison.
The best chronology for the Northern Hemisphere is from the annual-layer-counted North Greenland Ice Core Project (NGRIP) ice core in Greenland (Rasmussen et al., 2014). These ice core data also include dust (Ruth et al., 2003(Ruth et al., , 2007. This record is a backbone of dust records, but outside of the chosen regions of the aridity index. Therefore, the NGRIP dust concentration was only used in comparison to central European dust from the ELSA-Dust-Stack (2009).
Several dust proxies were used for this synthesis due to a large variety of dust over the key regions. Calcium carbonate (CaCO 3 ) in the ocean is deposited in higher rates with warmer sea surface temperatures if cores are situated above the lysocline. Therefore, lower CaCO 3 contents of ocean sediments in regions with high dust deposition (e.g. deMenocal et al., 2000;Leuschner and Sirocko, 2003) mainly indicate an increase in aridity, but are also influenced by changing wind directions and temperature changes in the ocean. This proxy is thus used only for the construction of the aridity index of the Portuguese margin, off west Africa and the Arabian Sea. The grain size record from the Jingyuan section of the Chinese Loess Plateau shows phases of aridity. The larger the sediment grains, the lower the precipitation and temperature and the higher the wind speeds (Sun et al., 2010;Xiao et al., 1995Xiao et al., , 2015. Dust content in sediments off north-west (NW) Africa is given in percentages of the whole sample composition. The ratio kaolinite / chlorite (K/C) is a dust proxy for the Mediterranean region (Ehrmann et al., 2017). Higher K/C ratios (more kaolinite than chlorite) indicate increased aeolian dust transport. During humid periods, kaolinite was stored within lakes or basins -due to increased erosion -and deflated during arid periods (Ehrmann et al., 2017).

Data treatment and aridity index calculation
We generated all synthesis plots for the regions with ELSAinteractive++ (Diensberg, 2020). This software was written in C++ for the subproject PalMod at the University of Mainz. This software was developed for working with sediment cores on an age or depth scale. Each data set of speleothem growth phases, tree pollen and dust proxies was resampled by linear interpolation to 50-year resolution. Subsequently, the resampled data sets were converted into index values. Therefore, the data for all time series were converted into percentages when the original data were not given as percentages. This was done by setting the maximum value of each data set to 100 % and the minimum value to 0 %, and normalizing values in between. Speleothem growth phases give information on humid phases; however "no growth" can indicate either changes in the drip water system or arid conditions. Grass pollen acts as a counterpart to tree pollen, which indicates humidity. Grass pollen values and dust values are considered to be the more robust aridity proxies, compared to speleothem growth phases. Therefore dust proxies and tree  (Fohlmeister et al., 2012(Fohlmeister et al., , 2013Weber et al., 2018) and (b) Spannagel Cave (Holzkämper et al., 2004(Holzkämper et al., , 2005Spötl and Mangini, 2002) show speleothem growth phases, which require mobile water from frequent precipitation. (c, d) ELSA-Vegetation-Stack pollen data  are divided into tree pollen and herb and grass pollen. While trees require more precipitation, grasses are dominant in more arid conditions. (e) ELSA-Dust-Stack (Seelos et al., 2009) indicates more arid conditions with higher values; lower values correspond to more humid conditions. GIs are distinguishable by lower index values and are highly comparable to panel (h). (f) Aridity index for central Europe as a result from panels (a)-(e); for detailed information see the Methods section. (g) Dust concentration from the NGRIP ice core (Ruth et al., 2007). pollen index values were separated into three parts (0, 1, 2) while speleothem growth was only separated into two parts (0, 1). Speleothem growth is given index values of 1; index values of 0 indicate no growth. Tree pollen contents below 33 % were assigned index values of 0. Tree pollen contents between 33 and 66 % were assigned index values of 1, and above 66 % index values of 2 (see Table 1). Higher dust values are assigned to lower index values, since less precipitation, and thus lower soil moisture, is the prerequisite for dust deflation. Thus dust proxy values larger than 66 % are assigned to the aridity index value 0, dust proxy values between 33 and 66 % to the aridity index value 1, and dust proxy values below 33 % to the aridity index value 2. The index values are then finally added up (a template is available in the Supplement). The aridity index ranges from 0 (very dry conditions) to 5 (very humid conditions). Speleothem growth phases, higher tree pollen values and lower dust values combined indicate increased humidity.
The aridity index for all key regions uses the three proxy types (speleothem growth, tree pollen and dust proxy), ex-cept for the Santa Barbara Basin region, where a dust record is not available. For the Arabian Sea region, we used total organic carbon (TOC) as an aridity proxy instead of tree pollen, as there were no available pollen data in databases but an excellent organic carbon record. High TOC in the Arabian Sea sediments is caused by high south-west monsoon intensity; intense upwelling and surface water nutrient content; and high fluxes of organic matter, which cause low oxygen levels in deep water (Schulz, et al., 1998;Sirocko et al., 1993;Sirocko and Ittekkot, 1992). We use only one record per region for dust and vegetation, because there are few and these proxy records are very difficult to combine. For speleothems we use several records for the regions central Europe, the Arabian Sea, the Mediterranean Sea and the Santa Barbara Basin. Since we only use age dating for Speleothem records, they can be easily combined. In addition, the caves are close to each other or have already been compared in previous works (central Europe, Fohlmeister et al., 2012;Arabian Sea, Fleitmann et al., 2007;Shakun et al., 2007;Mediterranean Sea region, Ünal-Imer et al., 2015; Santa Barbara Basin: Table 1. Components of the aridity index: speleothems can correspond to values of either 0 (no speleothem growth) or 1 (speleothem growth); tree pollen values below 33 % do not add to the aridity index, while between 33 and 66 % they correspond to index value 1 and above 66 % to index value 2; and dust values were internally normalized and act inverse to tree pollen. Dust values above 66 % do not increase the index, while between 66 and 33 % they correspond to index value 1 and below 33 % to index value 2. The aridity index ranges from 0 (highly arid conditions) to 5 (highly humid conditions).

Speleothems
Tree

Error estimates
In general, the main uncertainties of the proxies are the measurements of the original data, but for most original data no measurement uncertainties are specified, although each measurement has inaccuracies. Sources of error can be, for example, incorrectly counted pollen or device errors of the measuring instruments. As the uncertainty is difficult to assess quantitatively, we have applied a simple Monte Carlo simulation based on error estimates to get an approximation of the total error. To do this, we used the initial error values as displayed in Table 2. We estimated these based on the data density and the method originally used. Error estimates are different for each region, because the archives have different time resolution and different methods were used. For example, 10 % error in the pollen data of NW Africa is assumed, as there is a low sample resolution within the data set. The error for the Mediterranean Sea data set is considered small at 2 % because the data resolution is high and the stratigraphy with varves and age modelling is very good. These estimates are based on the experience of the ELSA pollen records . The estimated errors for pollen and dust include both timing errors and measurement inaccuracies of the proxies and represent the estimated maximum errors. Counting errors for pollen were considered very small, as the original investigators are very experienced. In addition, the sample rate of at least one sample every 250 years is high enough to smooth out minor errors. In our experience, the measurement inaccuracies of the devices are around 2 %. We have therefore taken this value as a minimum measure for the dust error values. Furthermore, there are possible age uncertainties, which become more important for records with smaller sample intervals. Speleothem age errors were given in the original data sources. All speleothem age uncertainties in the speleothem growth data we used for this synthesis were less than 4 %. To calculate a total maximum error, we randomly disturbed the original data with a percentage error given by the error estimates (Table 2). From the perturbed data we calculated a perturbed aridity index as described in Table 1 and Sect. 2.1. The variance over 100 000 runs indicates the approximate error of our aridity index (for the script, see Sect. S10). This error simulation is based on the method of Koehler et al. (2009) and personal communication with Manfred Mudelsee (2019).
The generated error estimations are displayed in Figs. 2 and S1-S9 by grey shades behind the mean data. The actual reconstructed aridity index values are integers (see Ta-

Model description
We employ the general circulation model COSMOS (Community Earth System Models), which was developed at the Max Planck Institute for Meteorology in Hamburg (Jungclaus et al., 2006). COSMOS comprises the standardized IPCC4 model configuration, which incorporates the oceansea ice model MPIOM (Marsland et al., 2003), the ECHAM5 atmosphere model at T31 spherical resolution (∼ 3.75 × 3.75 • ) with 19 vertical levels (Roeckner et al., 2003) and the  land surface model JSBACH including vegetation dynamics (Brovkin et al., 2009). The ocean model is resolved at 40 unevenly spaced vertical layers and takes advantage of a curve-linear grid at an average resolution of 3 × 1.8 • in the horizontal dimension, which increases towards the grid poles at Greenland and Antarctica (∼ 30 km). High resolution in the realm of the grid poles advances the representation of detailed physical processes at locations of deepwater formation, such as the Weddell, Labrador, Greenland and Norwegian seas. The ocean model includes a dynamicthermodynamic sea ice model (Hibler, 1979). Net precipi-tated water over land which is not stored as snow, intercepted water or soil water is interpreted as either surface runoff or groundwater and is redirected towards the ocean via a highresolution river routing scheme (Hagemann and Dümenil, 1997).
Here, we present results obtained from model set-ups encompassing the pre-industrial (PI), LGM and late MIS3 (32 000 years b2k) climate conditions. Details of each experiment set-up have been documented in Wei and Lohmann (2012, for the PI run), Zhang et al. (2013, for the LGM run) and Gong et al. (2013, for the 32 000 years b2k run), with modified sea level, ice sheets, greenhouse gas concentrations and astronomical parameters for their conditions in the past. For the late MIS3 run, the model mimics a GS due to freshwater hosing and GI with overshoot in temperature (Gong et al., 2013).

Results
The central Europe region is our starting point for the comparison with the other key regions; the detailed data description of the other areas is given in Sects. S1-S7.

Central European climate for the last 60 000 years
The Atlantic Sea surface temperature pattern strongly influence the whole European continent today (e.g. Cassou et al., 2005). Nowadays, the annual mean temperature in Germany is about 9.6 • C, and precipitation is about 800 mm yr −1 (Deutscher Wetterdienst, 2018). An established geo-archive for reconstructing the climate of central Europe is the volcanic maar lakes of the Eifel, which cover the Holocene with varves (annually laminated sediments), reach far back into the Pleistocene and cover the entire last 60 000 years continuously . These maar lakes of the Eifel in western Germany are today up to 70 m deep, with a large water volume and anoxic bottom water, favouring the preservation of annual layers (Negendank, 1989;Negendank and Zolitschka, 1993;Zolitschka et al., 2000). We use the long records of the ELSA project at the University of Mainz Sirocko et al., 2005Sirocko et al., , 2013 as a starting point for our study. Holocene cores are varved or at least laminated, which leads to a good understanding of sedimentation processes . The LGM and stadial core sections were dominated by sedimentation from annual dust storms ; see  (Fohlmeister et al., 2012;Weber et al., 2018), which can be compared to the Spannagel Cave system from western Zillertal, Austria (Fohlmeister et al., 2012;Holzkämper et al., 2004Holzkämper et al., , 2005. The time span from 60 000 to 48 000 years b2k (early MIS3, GIs 17-13) is characterized by high precipitation visible in the fast speleothem growth of the Bunker and Span-nagel caves. Nearly 100 % of tree pollen combined with the lowest grass and herb pollen values also indicate a wet climate during that time as well as relatively high temperatures close to present-day ones ). An intermediate dust content in the ELSA-Dust-Stack suggests an intermediate to low aridity. A similar pattern of low dust concentration is visible in the NGRIP ice core. The pollen composition change in the Eifel began around 49 000 years b2k towards more grass and herb pollen. A drastic change in δ 18 O occurred at the beginning of GI12, 46 860 years b2k (Rasmussen et al., 2014). With the beginning of Heinrich event 5 (H5), the dust amount spikes in the ELSA-Dust-Stack as well as in the NGRIP core, indicating a strong pulse of aridification around 48 000 years b2k, ending the humid phase of early MIS3.
The period from 48 000 until 38 500 years b2k includes GIs 12-9. The speleothem growth in Spannagel ended 45 700 years b2k. The Bunker Cave speleothems show a hiatus between 50 000 and 46 000 years b2k and a short growth recovery, with growth ending around 45 000 years b2k. The tree pollen proportion decreased to about 50-60 %: still more tree pollen than grass pollen, but a much smaller amount than in early MIS3. While the dust amount in the ELSA-Dust-Stack increases to higher intermediate values, the pattern within the NGRIP is characterized by the stadial pulses. ELSA-Dust-Stack, NGRIP dust and NGRIP δ 18 O show the same pattern and seem to react to the same mechanism.
From 38 500 to 22 000 years b2k (GIs 8-2) a change towards lower precipitation and higher aridity occurred. No speleothem growth is documented from Bunker or Spannagel Cave. The pollen concentration shows higher grass and herb content and lower tree pollen percentages, but still some birch and pine trees were present during this time . The ELSA-Dust-Stack comprises multiple changes within this time span and shows the general dust content as relatively high with larger variability. The NGRIP in contrast shows the highest dust concentrations in the time between 23 000 and 26 000 years b2k, a phase where the dust content in the ELSA-Dust-Stack is high but not at maximum values. The NGRIP δ 18 Oice, however, shows a phase of cold temperatures (−45 to −50 • C) during this time (Kindler et al., 2014).
The time span of 22 000 to 14 300 years b2k also shows no speleothem growth as well as a complete absence of all pollen. The precipitation was at the lowest values of the aridity index for that region, while the ELSA-Dust-Stack shows the highest dust amounts from 23 000 up to 15 000 years b2k. The biggest difference between ELSA-Dust-Stack and NGRIP dust can be seen in the period of 26 000 to 23 000 years b2k, where the dust content in the NGRIP core has two distinct maxima, while the dust content in the central European record increases only slightly. The return of vegetation followed shortly after 14 300 years b2k (Litt and Stebich, 1999). The Younger Dryas (YD) is apparent in the pollen data by a grass pollen increase, and the Holocene is marked by a sharp increase in tree pollen. Throughout the Holocene, tree pollen values are around 90 %. The dust content of the ELSA-Dust-Stack varies between intermediate and low levels. Speleothem growth in the Spannagel and Bunker caves started again 12 408 years b2k and continued through the whole Holocene. Also, the δ 18 O of the NGRIP shows constant high values with the exception of the YD event. The time from 14 300 years b2k up to present day can be described as a humid phase with intermediate to high precipitation and moderate temperatures. Figure 3 shows all aridity indices from the regional syntheses. A humid early MIS3 can be identified for all regions adjacent to the Santa Barbara Basin, but sometimes with a time lag of several millennia. We cannot be sure whether these shifts are caused by stratigraphy or whether they represent leads and lags in the climate system itself. Arid LGM conditions are identifiable for central Europe, the Arabian Sea, China, NW Africa, southern Europe, the Portuguese margin and the Mediterranean Sea region. The last deglaciation is visible in all records by drastic changes around 14 700 years b2k. A humid phase during deglaciation (14 700-11 700 years b2k) or the Holocene (11 700-present) is also apparent for all regions, apart from the Santa Barbara Basin, where the proxies show an opposing signal to the other archives due to regional effects (Heusser, 1998; see Sect. S7"St. Barbara Basin"). Figure 3h is truncated, as no Holocene proxies are available for that region from these records (see Sect. S7). Figure 4 is based on the aridity indices shown in Fig. 3 and additional information on the regional synthesis of China (see Fig. 2 and Sects. S1-S7). Publicly available pollen data from Mingram et al. (2018) start at 10 150 years b2k. Pollen reconstructions from Stebich et al. (2015) give additional Holocene information on the Sihailongwan maar lake (see Sect. S3 "China"). Therefore, we have used the additional information following the construction of the aridity index to complete the interpretation of China shown in Fig. 4. Blue bars indicate humid conditions, yellow bars indicate medium and red bars indicate arid conditions. Transitions or subdivisions between these conditions are indicated by overlapping bars. Figure 4 shows three large-scale structures that connect all selected key areas. The Holocene is generally always relatively humid, but there are regional differences between the early and late Holocene. The period of the LGM is arid in all selected key regions, but the beginning of the arid phase varies between regions. These may also be related to stratigraphic inconsistencies or existing leads and lags in regional climate change. Early MIS3 is quite warm and humid in all regions. The signal is strongest in central Europe and China from 60 000 to around 48 000 years b2k, and in the Arabian Sea from 55 000 to 42 000 years b2k (Figs. 4 and S1). This indicates teleconnections between the North Atlantic and the subtropical monsoons (Sirocko et al., 1993). North-west Africa and southern Europe were slightly less humid in early MIS3 but still show enhanced precipitation compared to mid-and late MIS3. The Portuguese margin region underwent larger changes compared to the other regions, as it was directly influenced by the North Atlantic. The Mediterranean Sea region also was more humid during mid-and late MIS3 but not as humid as other regions; the Santa Barbara Basin shows humidity of the same intensity. Early MIS3 was generally quite humid in the Northern Hemisphere. A pronounced aridification occurred with H5 (around 48 000 years b2k), especially in NW Africa, the Portuguese margin region, the Arabian Sea, southern Europe and central Europe.

Aridity reconstruction of the last 60 000 years
The period between 45 000 and 15 000 years b2k was less humid globally than early MIS3 by 50 000 years b2k. During late MIS3, variations occur within regions, but between medium and more arid conditions. Heinrich events seem to have a strong influence, which is indicated by the increases in aridity during the Heinrich events. Towards the end of the LGM period all regions show arid or intermediate conditions, but central Europe and the Arabian Sea were the most arid. The LGM is characterized by reduced precipitation, which is clearly visible by the red bars around 20 000 years b2k (Fig. 4).
The LGM period was followed by a global climate improvement, again with a different start time for each region. The earliest and most pronounced climate improvement took place in China, followed shortly after by the Mediterranean Sea, central Europe, southern Europe and the Portuguese margin regions. In the Santa Barbara Basin, too, there were climate improvements even before the Holocene began. This general climate improvement is most likely associated with the warming of the North Atlantic by 14 700 years b2k (Rasmussen et al., 2014). The early Holocene climate optimum occurred around 8000 years b2k (Shakun and Carlson, 2010) with a temperature and precipitation maximum. This is particularly evident for central Europe, the Arabian Sea, NW Africa, the Mediterranean Sea and China.

Global speleothem growth pattern
Figure 5 summarizes all speleothem growth phases mentioned in the regional syntheses. A consistent pattern shows the growth of all speleothems except NW Africa during the early MIS3 phase. All other regions indicate fast growth rates and corresponding humid conditions at least during interstadials. A larger change occurs around H5 or, shortly afterwards, between 48 000 and 45 000 years b2k. Speleothem growth stopped in central Europe caves as well as in the Arabian Sea region and drastically slowed down in southern Europe, China and the Mediterranean Sea region during late MIS3. The still fast growth for the Portuguese margin region could be explained by a regional effect of enhanced moisture supply due to the position of the Buraca Gloriosa Cave. These speleothems show Heinrich events H4, H3 and H1 as hiatuses. The climatic conditions deteriorated over time. No growth is observed during LGM times for several regions including central Europe, the Arabian Sea and southern Europe, and very slow growth rates are observed for NW Africa, China and the Mediterranean region, pointing to more arid conditions during late MIS3 and LGM times compared to early MIS3 conditions. The effect of large-scale atmospheric teleconnections, also observed previously, can also be observed with the beginning of the Bølling-Allerød interstadial (14 700 years b2k) or after the YD (11 703 years b2k). Speleothem growth starts again for central Europe, the Arabian Sea and southern Europe. In China, the Mediterranean and the Santa Barbara Basin region, the growth rate again increases significantly. The available data show climatic amelioration after the LGM period globally but especially in the Northern Hemisphere.

Global aeolian dust pattern
Similar patterns are visible in the dust archives used for this synthesis. For the early MIS3, low dust values for central Europe, China and NW Africa and medium dust values for all other regions except the Arabian Sea are visible. In general, the dust records also show the flickering of the MIS3 climate.
Apart from the regions' own patterns, some background structures can be seen. Heinrich events are most pronounced for NW Africa and southern Europe/the Portuguese margin, as these regions belong directly to the North Atlantic. Also the Mediterranean, central Europe and China show Heinrich events within the dust records. China, the Arabian Sea, NW Africa and central Europe show a pronounced dust maximum during the LGM period. Apart from the Holocene, the lowest dust values in early MIS3 appear for central Europe, the Arabian Sea, China, NW Africa and the Mediterranean -but at different times.
The NGRIP dust concentration and the ELSA dust concentration (Seelos et al., 2009) are in good agreement for early and intermediate MIS3. Tipping points show stepwise changes in both archives at several points in time (∼ 49 000, ∼ 36 500, ∼ 23 000 and ∼ 14 700 years b2k) and are described in  as Landscape Evolution Zones. The good agreement of both regions indicates a close connection with the North Atlantic climate variations. The sediments of the Arabian Sea are also closely linked to the North Atlantic variability, as known since Schultz et al. (1998) and visible in Fig. 6. Sun et al. (2010) also showed a correlation of Chinese loess with North Atlantic climate fluctuations. High dust contents during mean MIS3 and LGM are visible in most archives, often in connection with dustier Heinrich events or stadials in general. Increasing dust levels around 30 000 years b2k up to the LGM show an almost global distribution, but regional differences can be observed: ELSA-Dust-Stack and NGRIP differ in the timing of the maximum dust values. This could be explained by a process similar to the blocking of western winds by ice sheet growth described in Schenk et al. (2018) and Schiemann et al. (2017).
Between 30 000 and 17 000 years b2k, conditions were mostly arid, recognizable by the dust maxima in Greenland, central Europe, China and the Portuguese margin during the LGM. With the YD and the onset of the Holocene, dust values decrease until the end of the Altithermal period. After that, dust increases in the Arabian Sea, China, NW Africa, the Portuguese margin and the Mediterranean Sea, indicating increasing aridification of the large desert areas in Africa, the Arabian Peninsula and China. During the last 60 000 years of climate evolution, major changes occurred simultaneously on the globe, indicating atmospheric teleconnections (Bjerknes, 1969;Markle et al., 2017;Sirocko et al., 1993Sirocko et al., , 1996Zhou et al., 1999).

Discussion
The PalMod requirements limit the calculation of the aridity index partially. In particular, not all high-resolution archives could be taken into account in the selection of the regions, since too few further data from other archives in the proximity are publicly accessible. The requirements strongly influence the region selection, as regions with only one record type were excluded. Records that would also fall within the selected regions are, for example, the Nussloch loess sequence as a dust record for central Europe/southern Europe or the pollen record of Tenaghi Philippon for the Mediterranean Sea region.
Since we use only one dust or pollen record per region to calculate the aridity index, these records would replace the existing ones. The ELSA-Dust-Stack (2009) and Nussloch are very similar with respect to the processes that formed these records. Therefore their climatic patterns are very similar. The aridity index would therefore not be completely different from the version now generated with publicly available data. The situation would be similar for Tenaghi Philippon and Lago Grande di Monticchio. The archives show similar patterns and were subject to similar processes. These aridity indices would therefore also be very similar. Utilizing more than one data set for pollen or dust from different archives would require a much more complex method to compare the different data.
The ELSA-Dust-Stack by Seelos et al. (2009;see Fig. 2e) shows all Greenland interstadials of the last 60 000 years. The resolution of the ELSA-Dust-Stack (2009) is very high and the data are publicly available. For Nussloch, among other things, grain size index data have been collected, which show the GIs. These data from Nussloch (e.g. Antoine et al., 2009;Rousseau et al., 2007) can basically be compared with the ELSA-Dust-Stack (2009), as both archives show palaeodust. Although the data are not accessible, the figures of the original papers can be used for comparison. The disadvantage of loess archives compared to terrestrial archives is an Figure 5. Speleothem growth phases, which require mobile water from frequent precipitation for the selected key regions. Horizontal bars show age datings. (a) Central Europe with Bunker Cave and Spannagel Cave (Fohlmeister et al., 2012(Fohlmeister et al., , 2013Holzkämper et al., 2005;Spötl and Mangini, 2002;Weber et al., 2018); (b) Socotra and Oman caves from the Arabian Sea region (Burns et al., 2003;Fleitmann et al., 2007); (c) southern Europe represented by Villars Cave speleothems (Genty et al., 2003(Genty et al., , 2006Labuhn et al., 2015;Wainer et al., 2009Wainer et al., , 2011; (d) the Portuguese margin region with Buraca Gloriosa Cave (Denniston et al., 2018); (e) north-west Africa with Grotte Prison de Chien and Grotte de Piste (Wassenburg et al., 2012(Wassenburg et al., , 2016); (f) China with Hulu Cave Wang et al., 2001); (g) the Mediterranean Sea region with Dim Cave and Soreq Cave (Bar-Matthews et al., 2000;Ünal-İmer et al., 2015); (h) Cave of the Bells and Fort Stanton representing the Santa Barbara Basin (Asmerom et al., 2010;Wagner et al., 2010). often discontinuous sedimentation, although we are aware that some loess archives are often continuous (e.g. Marković et al., 2011Marković et al., , 2015Obreht et al., 2019;Yang and Ding, 2014). Nevertheless, it is clear that both archives are well suited to studying palaeoclimate developments. Both archives can be used for aridity reconstructions due to their palaeo-dust sedimentation.
The following section (Sect. 4.1) compares our aridity index with a previous reconstruction from Herzschuh (2006). This reconstruction is based on various pollen records, but only with that one kind of proxy, which is pollen. Both methods reveal similar results, although Herzschuh has used a lot more records. Section 4.2 compares the aridity index with different climate simulations. Since the overall agreement is  (Ruth et al., 2007); (c) ELSA-Dust-Stack (2009) for central European dust (Seelos et al., 2009); (d) CaCO 3 accounting for dust from Arabian Sea marine core 70KL (Leuschner and Sirocko, 2003); (e) mean grain size from the Jingyuan section of the Chinese Loess Plateau (Sun et al., 2010); (f) dust content within marine core GeoB9508-5 off north-west Africa (Collins et al., 2013); (g) CaCO 3 for southern Europe and the Portuguese margin from marine core MD01-2443/4 (Hodell et al., 2013); (h) K/C ratio from marine core M40/4_SL71 for the Mediterranean Sea (Ehrmann et al., 2017); (i) Antarctica ice core EDML dust concentration (Wegner et al., 2015) for comparison. Light blue bars highlight Heinrich events after Naafs et al. (2013). quite good as well, we consider our aridity reconstructions to be representative.

Comparison of aridity index and previous aridity reconstruction
Aridity reconstructions of Herzschuh (2006) for the last 50 000 years for central Asia are in excellent agreement with the aridity reconstructions of this synthesis of the China region (Sect. S3). Herzschuh used only pollen data for the reconstruction, while our aridity index is based on three different proxies to refine the image. On the other hand, Herzschuh used several pollen records of one region to cal-culate her aridity index on a broader basis. Our aridity index consists of longer records and reaches until the beginning of MIS3 (60 000 years b2k). It shows a humid early MIS3 and a decrease in humidity around 50 000 years b2k to intermediate conditions. Moderate dry conditions are reconstructed for 50 000 to 45 000 years b2k from Herzschuh, similar to the aridity index, followed by an increase in humidity until 40 000 years b2k. Minor differences between 45 000 and 30 000 years b2k are visible, but the general trend shows a broad consensus between both reconstructions for this period. Mid-to late MIS3 is relatively humid in both reconstructions. In both reconstructions the aridity increases rapidly towards the LGM, with a strong LGM aridity maximum of 21 000 to 18 000 years b2k. A gradual climate improvement after the LGM is clearly evident in both reconstructions, with a first increase in humidity up to 13 000 years b2k with subsequent optimal climate conditions during the early Holocene (11 000-7000 years b2k). The aridity index lacks pollen values in the Holocene data (see S3), but the agreement of Herzschuh with the published Holocene pollen data of Stebich et al. (2015) is obvious and shows an early Holocene climate optimum up to 4000 years b2k in both reconstructions. A wet early Holocene can also be observed in central Chinese speleothem growth rates from the "Sanbao Cave", which are highest from 9500 to 6500 years b2k . The selection of records is certainly limited, but it is representative within the regions. We are not aware of any records that completely contradict the reconstructed climatic conditions. Since the selected regions are relatively homogeneous in terms of climate, we expect similar results within the regions.

Comparison of proxy synthesis with model results
The above records describe the structure of past aridity globally but do not show the mechanisms of past, present and future climate changes, which can be simulated by GCMs. Compared to our reconstructed aridity indices, we use the coupled climate model COSMOS. Figure 7 shows the precipitation changes and anomalies from the late MIS3 time slice with respect to PI and LGM conditions. Panels (a) and (c) show stadial conditions, and panels (b) and (d) interstadial conditions. Panels (a) and (b) show the time slice 32 000 years b2k compared to pre-industrial time, while panels (c) and (d) show LGM conditions.
Model runs for late MIS3 interstadial times show increased precipitation for Europe, the North Atlantic, the Arabian Sea and large parts of the equatorial Pacific, while the remaining parts of the Equator in Asia, the central Atlantic and the northern parts of South America show lower precipitation. The stadial MIS3 state generally shows the same spatial trends, but with a generally higher aridity. Model and drought reconstructions are consistent under almost identical conditions for PI and MIS3. Barron and Pollard (2002) simulated a time slice of 42 000 years b2k for European precipitation. The results are comparable with our aridity index, but central Europe, southern Europe and the Portuguese margin were wetter in our reconstruction than in the Barron and Pollard simulation. In contrast, these results show that the 42 000 year b2k time slice was more humid than the 32 000 year b2k time slice for Europe. Our reconstruc- Table 3. Comparison of model simulation with reconstructed aridity index. Relatively larger aridity with respect to PI or LGM for each region is shown with a minus (−), approximately the same conditions with an open circle (o) and more humid conditions with a small plus (+). Bad agreement between aridity index and simulation is shown in red, medium agreement in yellow, good agreement in light green and very good agreement in dark green. tion assumes that precipitation during early and mid-MIS3 was even higher than during late MIS3 and as high as during the early Holocene optimum. This statement can be made for all regions if the different starting times of the wet periods are included. Late MIS3 and especially comparisons between early and late MIS3 have not been investigated in current models so far. Table 3 summarizes the results from the model simulations (transferred to symbols) from Fig. 7. This model structure is divided into GI and GS state and is compared for each of the key regions with the results for the drought reconstructions from Fig. 4. Relatively greater aridity in terms of PI or LGM for each region is represented by a minus (−), approximately equal conditions by a circle (o) and more humid conditions by a small plus (+). Additionally, the agreement of each simulation and the aridity reconstructions of this work are shown. Bad agreement is shown in red, medium agreement in yellow, good agreement in light green and very good agreement in dark green. The overall consistency of model and reconstruction is good. Most precipitation changes of the drought index are also captured in the simulation.
The aridity reconstructions show that central Europe was humid during early MIS3, followed by a medium to very arid period until the end of the LGM.

Conclusions
The aridity synthesis for the selected regions of the world climate allows five main conclusions: 1. All regions that were analysed here, besides the Santa Barbara Basin, underwent a wet phase during both early MIS3 and the early Holocene and deglaciation (Figs. 3  and 4). The timing of these wet phases varied considerably from region to region.
2. There were atmospheric teleconnections from the North Atlantic (Greenland) across central Europe and over the Arabian Sea to China. The changes in these regions occurred at similar times and with similar intensity. The other regions also underwent these changes, but with temporal differences (Figs. 3 and 4).
3. Aeolian dust, tree pollen and speleothem growth phases show congruent climatic patterns for the different regions, which we attribute to over-regional aridity changes (Figs. 5, 6 and S8).
4. Timing and regional extent of the aridity index are consistent with the model-based precipitation simulations (Table 3).
5. The quality of the aridity index is mainly limited by the original stratigraphy and sample resolution. Therefore, it is only a useful tool for observing general structures of the climate system.
Code and data availability. Code and data are available in the Supplement and can be downloaded from https://doi.org/10.5281/zenodo.4094684 (Fuhrmann et al., 2020).
Author contributions. FF generated the aridity index, processed the data and prepared the manuscript. GL and XG developed and performed the climate simulation. BD developed the ELSAinteractive++ program for data visualization and analysis. FS stimulated the discussion on the global teleconnections within the climate system.

Competing interests.
The authors declare that they have no conflict of interest.

Special issue statement.
This article is part of the special issue "Paleoclimate data synthesis and analysis of associated uncertainty (BG/CP/ESSD inter-journal SI)". It is not associated with a conference.