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\section{Discussion}  In this paper we present the hitherto  first model of potential Neanderthals distribution across Europe during the Last Interglacial (Eemian, MIS 5e, $\sim$130 ka BP). We have applied a robust state-of-the-art modeling approach to take advantage of a sparse set of archaeological records and a palaeoclimatic simulation to produce the our  model. We analyzed the this  model using regression-tree based statistical methods to assess how environmental variables shaped habitat suitability at continental and local scales, and assessed to what extent our preliminary hypothesis on regarding  the abiotic drivers of Neanderthals Neanderthal  distribution matched the results of the model. The papers by \citet{Richter2005}, \citet{Richter2006}, \citet{Wenzel_2007}, and \citet{Gaudzinski2011} are among the most relevant ones recent contributions  discussing the distribution and survival strategies adaptations  of Neanderthals during their last years. \textit{Homo neanderthalensis}.  These papers provide a valuable review on Eemian Neanderthal sites (many of them used to calibrate our model), and offer a valuable discussion on whether or not the dense forests present in Central Europe during MIS 5e were suitable for Neanderthals due to the lack of large herds of mammals (especially \citet{Gaudzinski2011}). Since our model is focused on abiotic drivers, we cannot contribute to the discussion of whether or not dense forests were a harsh an unsuitable  environment for Neanderthals. But according to our results, the central and north North  European plains occupied Plain covered  by dense forests during the Eemian were already relatively  cold and flat, resulting in low habitat suitability values. This does not mean that we consider abiotic factors to be more relevant in shaping Neanderthals distribution; we are simply adding new information that may help to formulate new questions about this topic. To disentangle the relative effect of climate, topography, and the presence of dense forests over Neanderthals across the Neanderthals'  northern range  edge would require a reliable vegetation simulation (as in \citet{Allen20102604} or \citet{Gaillard2010483}), that which  is not currently available. Two of the papers mentioned above, (\citet{Wenzel_2007} and \citet{Richter2006}) discuss the use of beaches to obtain seafood. marine foods; more recently, Cohen et al. (insert: Cohen, K.M., MacDonald, K., Joordens, J.C.A., Roebroeks, W., Gibbard, P.L., 2012. The earliest occupation of north-west Europe: a coastal perspective, Quaternary International 271, 70-83.) also consider coastal areas - many of which are now submerged or have been dramatically altered by the many trans- and regressions of the Late Pleistocene - as highly suitable if not optimal spaces for European hominids.  A few new handful of recently discovered  Eemian sites found in Italy and Spain Spain, for instance,  are located by the sea, and our model shows that habitat suitability was very high across most parts of the Mediterranean, Atlantic, Adriatic, Aegean, and the  Black Sea coasts. Actually, In fact,  thedistribution of  habitat suitability values interpreted along the associated with these  newly available found  sites challenges challenge  the idea notion  of Neanderthals as a central-European central European  species. Our model shows suggests  that the presence records in northern Germany could have been represent  the tail of Neanderthals distribution, Neanderthal distribution during MIS 5e,  while abiotic conditions were close to optimum optimal  along the coastlines. Our findings support the idea of Eemian Neanderthals being a species mainly thriving in warm coastlines, coastline habitats,  able to exploit the resources provided by the sea \cite{Stringer200814319, Colonese201186} and as well as  probably small game living near coastal habitats \cite{Blasco2014}. This suggestion is in line with earlier suggestions regarding the importance of coastal habitats in human evolution and dispersal (insert: Bailey, G., 2004. World prehistory from the margins: the role of coastlines in human evolution. Journal of Interdisciplinary Studies in History and Archaeology 1 (1), 39-50.). In addition, our rigorous modeling Neanderthal abiotic tolerance ranges suggests that this hominid species shows no preference for cold conditions.  \paragraph{Hypothesis on the drivers of Neanderthals distribution}  According to our the hypothesis  proposed hypothesis, here,  the northern edge of the  Neanderthals' distribution should be controlled by cold winters due to the  low availability of small and big game, and cold stress. Our model confirms that minimum temperature of the coldest month influences habitat suitability at the continental scale, but the local scale local-scale  analysis shows suggests  that the low habitat suitability of places within and beyond the northern edge (for example: Southern Baltic coast, Jutland peninsula, Southern Sweden, Southern Finland) can be explained by a combination of cold winters and plain slopes. We hypothesized further hypothesize  that hot and dry summers may have shaped the southern limit of Neanderthals distribution due to heat stress and low summer productivity resulted resulting  from drought, but also that this effect could have been buffered by the nearness of proximity to  the sea in the along  Mediterranean coastlines. The analysis of our model showed that southern localities with summer temperatures higher than 34 ºC (2, 3, 17, 26, 27) consistently presented low habitat suitability, while habitat suitability was generally very high in the along  Mediterranean coastlines (and the  southern coast of the Black Sea), with summer temperatures between 29 and 34ºC. 34 ºC.  Finally, our hypothesis puts emphasis on the importance ofhaving a proper  topographic setting factors  at the local scale: diverse enough to promote a high availability of ecological niches, and hence  hunting resources as a result, and gathering resources,  but not too rough to fulfill the high mobility requirements of Neanderthals. The analysis of the model at the continental scale reveals that slope is the third most important predictor, with an optimum between 3 and 7 degrees. At the local scale, optimum slope coefficients resulted in high habitat suitability in for  localities along the Mediterranean coast, while an excess of slope reduced habitat suitability (Adriatic (e.g. on the Adriatic  coast, the  Aegean Islands, and the  Cantabric coast of Iberia). In summary, our model supported the main points of our hypothesis (with the exception of the effect of summer drought in along  the southern limit), but even provided further information about the complex interaction between temperature and topography to define habitat suitability for Neanderthals during MIS 5e. \paragraph{Implications for Neanderthal dispersal}  The habitat suitability model presented in this study provides guidelines to interpret for interpreting  the potential effect of climatic and topographic barriers over for  Neanderthals dispersal. Mountain ranges like the Alps and Pyreneeswere  probably were  strong barriers during the Eemian (and during the early Weischselian, according to \citet{Andel}) that could have offered an opportunity to be crossed during the summer \cite{Richter2006}, but a rough topography could still have been an issue for the mobility requirements of Neanderthals. Extensive flat  plains dominated by a continental climate climatic regime  (Pannonian plain, Plain,  North European plains) Plain)  couldhave  also have  prevented Neanderthals successful Neanderthal  migration, especially during summers summer  in the south South  and winters winter  in the north. North.  Our model shows at least six suitable geographical regions, more or less isolated from each other: i)  the Atlantic and Mediterranean coasts of the Iberian Peninsula; ii)  France and Western Germany, limited by the Alps, the north North  European plains Plains  and the sea; sea (???); iii) the  British Islands, but Neanderthals although, interestingly, Neanderthal  presenceduring the Eemian  has despite concerted efforts  not been confirmed there during the Eemian  \cite{Penkman_2011}; iv)  Italian peninsula, limited by the Po Valley and the Alps; v) the  Peloponese and Aegean Islands, limited by the sea (but see \citet{Richter2005}, \citet{Broodbank_2006} and \citet{Ferentinos_2012}, for a discussion about the possibility of seafaring by Neanderthals), but without any reliable Neanderthal material attributed to MIS 5e; and vi )  the coasts of Anatolia, Lebanon, and Israel. In the long term, the compartmentalization of Neanderthal populations suggested by these relatively isolated niche pockets  could have have, especially together with low population densities,  led to repeated local extinctions (insert: Bocquet-Appel, J.-P. and Degioanni, A., 2013. Neanderthal Demographic Estimates. Current Anthropology 54 (S8), S202-S213.; Premo, L.S. and Hublin, J.-J., 2009. Culture, population structure, and low genetic diversity in Pleistocene hominins. Proceedings of the National Academy of Sciences 106 (1), 33-37.  Premo, L.S. and Kuhn, S.L., 2010. Modeling Effects of Local Extinctions on Culture Change and Diversity in the Paleolithic. PLoS ONE 5 (12), e15582.) and  genetic differentiation, as shown in \citet{Fabre_2009} where the authors studied genetic variation within twelve samples of mitochondrial DNA obtained from Neanderthal samples dated between 100 and 29 ka BP (but according to \cite{Higham_2014} the latter date may be more probable around 40 ka BP). They defined two genetic demes within our study area (see Fig. 2 in \citet{Fabre_2009}: a northern region that comprises the North of the Iberian Peninsula, Eastern France, Germany and the rest of central Central  Europe; a southern region comprising the East of the Iberian Peninsula, the  South of France, the  Italian Peninsula, and the Balkans. These demes do not completely readily  fit with our habitat suitability model: there seems to be connectivity between Eastern the eastern  and Western western parts of the  Iberian Peninsula due to a corridor of suitable habitat at along  the south of Pyrenees, and between Western western  and Eastern France, that show eastern France characterized  a large extension of well connected well-connected  suitable habitat. But both models agree in the important effect of the Alps as the main geographic barrier shaping the separation between ecologically suitable areas and genetic demes. A detailed analysis of habitat suitability maps along with cultural and genetic evidences can help to understand the causes for gradients of cultural and genetic change across large territories. Likwise, Ruebens (2013: Ruebens, K., 2013. Regional behaviour among late Neanderthal groups in Western Europe: A comparative assessment of late Middle Palaeolithic bifacial tool variability. Journal of Human Evolution 65 (4), 341-362.) could identify several culturally distinct regions, each characterized by distinct tools shapes and production methods. As an information transmission system culture is, at the population level, arguably sensitive to forces similar to genetics (insert: Lycett, S.J. and von Cramon-Taubadel, N., 2015. Toward a “Quantitative Genetic” Approach to Lithic Variation. Journal of Archaeological Method and Theory 22 (2), 646-675.  Lycett, S.J., 2015. Cultural evolutionary approaches to artifact variation over time and space: basis, progress, and prospects. Journal of Archaeological Science 56 (0), 21-31.) Like the above genetic analyses, however, Ruebens' work was also focused on the periods after MIS 5e, albeit with important implications for the interpretation of our abiotic ecological factors.  \paragraph{Limitations}  The modeling approach presented in this paper has certain limitations, most of them caused by grounded to  the input data. data or lack thereof.  Neanderthal sites attributed to MIS 5e are scarce in Europe, and their distribution is spatially biased due to a differential availability of areas suitable to preserve the remains, like such remains (e.g.  travertines, caves, lake basins or beach deposits, deposits)  across Europe \cite{Richter2006}. The chronology of the remains, or more precisely, the method used to define their chronology, is another important source of uncertainty (if not the most). uncertainty.  There are very different methods to assign dates to archaeological remains beyond the range of  radiocarbon range, and dating,  each one of them has associated with  its own problems, and usually wide confidence intervals (except tephras), that can be even -  wider at times  than thefocus  period in focus here  (the Eemian interglacial lasted for around 10,000 years). Therefore, and despite our effort to diminish chronology errors as much as possible by filtering dubious dates, there is an the  obvious risk of including data points belonging to periods different than the Eemian that may affect the outcome of the model. One solution would be to weight Weighting  the presence records according to their uncertainty, uncertainty may offer one analytical solution to this problem,  but it was one that lies  beyond the scope ofthis paper to test  the potential advantages of this approach. present paper. Adding new sites through new fieldwork or improved dating protocols present another solution in the long term.  \paragraph{Conclusions}  Our model shows the highest habitat suitability values along coastal areas with mild summers, while the Central European sites, which have dominated our view about the Neanderthal life style during the Eemian, showed low habitat suitability and were interpreted to belong to the distribution tail. Therefore, most many current interpretations  of the knowledge we have about Neanderthals Neanderthal  lifestyle during MIS 5e may notrepresent  accurately represent this species preferred ecotone and lifestyle, i.e.  the technological adaptations required to survive in coastal habitats, and further habitats. Further  research would be is  needed to investigate the cultural and technological differences between Neanderthal populations inhabiting habitats with such  contrasting ecological features. The methodology presented here to analyze the habitat suitability model is novel, and has proven useful to obtain an insight into the abiotic processes factors  driving habitat suitability at the local scale in different regions across the study area. This methodology can help us to move beyond the "pretty map", simply placing dots on maps,  and convert SDMs into a source of valuable information that can help to interpret for interpreting  the ecological conditions at Pleistocene  archaeological sites.