ABSOLUTE CHRONOLOGY AT THE WATERLOGGED SITE OF LA DRAGA (LAKE BANYOLES, NE IBERIA): BAYESIAN CHRONOLOGICAL MODELS INTEGRATING TREE-RING MEASUREMENT, RADIOCARBON DATES AND MICRO-STRATIGRAPHICAL DATA

ABSTRACT Sixty-two 14C dates are analyzed in combination with a recently established local floating tree-ring sequence for the Early Neolithic site of La Draga (Banyoles, northeast Iberian Peninsula). Archaeological data, radiometric and dendrochronological dates, as well as sedimentary and micro-stratigraphical information are used to build a Bayesian chronological model, using the ChronoModel 2.0 and OxCal 4.4 computer programs, and IntCal 2020 calibration curve. The dendrochronological sequence is analyzed, and partially fixed to the calendrical scale using a wiggle-matching approach. Depositional events and the general stratigraphic sequence are expressed in expanded Harris Matrix diagrams and ordered in a temporal sequence using Allen Algebra. Post-depositional processes affecting the stratigraphic sequence are related both to the phreatic water level and the contemporaneous lakeshore. The most probable chronological model suggests two main Neolithic occupations, that can be divided into no less than three different “phases,” including the construction, use and repair of the foundational wooden platforms, as well as evidence for later constructions after the reorganization of the ground surface using travertine slabs. The chronological model is discussed considering both the modern debate on the Climatic oscillations during the period 8000–4800 cal BC, and the origins of the Early Neolithic in the western Mediterranean region.


INTRODUCTION
The La Draga archaeological site is located on the eastern shore of the Lake of Banyoles, at 172 meters above sea level, in the northeastern part of the Iberian Peninsula. The site is located at an intermediate point between the Pyrenean Mountain ranges, 40-50 km, and 35 km from the current Mediterranean coastline (Figure 1). Nowadays the site is partially on dry land and partially covered by the lake water table, and these conditions have favored the extraordinary state of conservation of built structures and objects made from wood and vegetable fibers, as well as other organic materials.
Since the site's discovery in 1990, archaeological excavations have documented various structures that would correspond to an Early Neolithic settlement in which evidence of Cardial pottery has been identified (Bosch et al. 2000(Bosch et al. , 2006Tarrús 2008;Palomo et al. 2014;Bogdanovic et al. 2015;Terradas et al. 2020). The site's location corresponds to a repeated pattern during the first only been preserved by carbonization. The different states of preservation of the archaeological record at the three excavated areas of the site and the distinct post-depositional processes generate additional problems when correlating the structures of the different sectors. This is not only due to the site's elevation in relation to the groundwater, but also the dynamics of the phreatic level ( Figure 3).
Stratigraphic observation suggests the existence of a minimum of two different site occupations. They are clearly differentiated at Sector B-D, as the travertine pavement overlaps the wooden layer. In Sector A, stratigraphical dynamics are totally different, and the correlations of the layers and phases are unclear . The goal of this paper is to place both Neolithic occupations in the calendrical scale by integrating radiometric and dendrochronological dates, as well as sedimentary and micro-stratigraphic Figure 2 Virtual and idealized reconstruction of one of the Neolithic huts that may have been built at La Draga during its early occupation (Campana 2019; . Pile alignment in the geometrical model does not reflect the reality of the terrain.  Palomo et al. 2017.) Absolute Chronology at the Waterlogged Site of La Draga 909 information and archaeological materials. The resulting chronological model is discussed amid current debates on the origins of the Early Neolithic in the western Mediterranean region and the Cardial pottery context.

Methodology and Theoretical Background
All radiocarbon samples and tree-ring data have been organized into depositional events, using archaeological contexts and micro-stratigraphic information. In so doing, we have followed the general approach by Barceló and Andreaki (2020) and Barceló and Bogdanovic (2020). A depositional event is the material expression of an archaeological event: something happened at a specific place during an interval of time and modified the physical appearance of the ground surface where the action took place, differentiating specific areas from their neighbors. Therefore, a depositional event will correspond to the smallest differentiable spatial unit, that is, a particular closed area where the values of some spatial variable(s) are homogenous and statistically different from the values the same spatial variable(s) had at neighboring closed areas. It is important to consider that social action alone is not the only cause for a depositional event to occur. This is because an archaeological site is not only the place where human action took place at a certain time, but also, where numerous post-depositional processes (geological, chemical, physical, mechanical, biological, etc.) modified or altered that initial anthropic deposition.
A depositional event is thus the smallest spatial referential archaeological unit of observation showing some degree of homogeneity, and it should be defined according to the modification of the surface generated by the activity at that place: the accumulation of materials on the surface, and/or the excavation of the same ground surface. In so doing, depositional events should be defined according to the following: • the archaeological materials they contain (what has been deposited), • the microstratigraphical information revealing the formation processes in situ (the way the ground was altered as a result of deposition), • the relative (stratigraphic order) and absolute chronological information (dendrochronological and radiocarbon data) for each of them (the order in which different depositions occurred, and the position of each deposition in the calendar scale) .
It is generally assumed that the most likely position of a depositional event on the time scale should be close to the temporal position of a majority of the isotopic events it contains . Van der Plicht et al. (1999: 434) referred to 14 C events, defining them as "the separation of a certain substance containing carbon from the source from which the carbon was obtained." Generalizing to any kind of isotopic clock, we refer to an isotopic event (see also, Lanos and Philippe 2017, 2018. Since the temporal position of each isotopic event on the time scale is necessarily uncertain, we need a series of isotopic events (the larger, the better), and a combination of their respective confidence intervals, to estimate the temporal position of the depositional event. The rationale for this chronological inference is that the material consequences of activities performed at the same time should be closer spatially to each other than to those materials that were deposited farthest in time. Synchronicity of depositional processes suggests that all things being equal, activities occurring at the same time will tend to increase the joint frequency of their effects, and this can be observed in the spatial density of such effects. Nevertheless, this assumption is not always correct. Not only must we keep in mind the possible time lag between the isotopic event and the depositional event, but we must also know in detail the content-container relationship that may exist between the dated sample and the minimum spatial unit of reference in which it has been found (Roskams 1992;Berry 2008;Thorpe 2012). To solve the question whether all the materials found at a referential spatial unit were deposited at the same time, the significance of the differences in the estimated 14 C age can be calculated using the classical Ward and Wilson test (1978). If the result is positive for all the isotopic events within the same depositional event, we can conclude that the duration of the deposition was short, and the position in the calendar scale of the depositional event will be calculated in terms of the statistical combination (average) of the uncalibrated 14 C ages of the samples contained in the spatial unit.
In the case that the combination of isotopic events from the same depositional event fails the Ward and Wilson statistical test, the estimation of the temporal position of the depositional event will be compromised. The samples either were deposited as a consequence of different depositional actions, or the time lag between different effects of the same action is too great to be effectively detected in terms of a chi-square statistical distribution. Depositional events can be fast-a day, a week, less than a year; medium slow-less than 20 years; or slow-more than 20 years. That is the reason why some authors suggest distinguishing between "strict contemporaneity" and "broad contemporaneity" (Sharon 1995;Holst 2001;Desachy 2008). Two elements are strictly contemporaneous if they were deposited at exactly the same time; "broad" contemporaneity expresses those two depositional events that may have occurred within the same temporal interval, but not necessarily simultaneously. The duration of the depositional process, its continuity, and the longitude of the temporal gap between the start and the end of the deposition also introduce strong and weak synchronisms. This distinction is important, because weak synchronisms or broad "contemporaneities" would not allow us to establish temporally ordered relationships: if A is later than B, and if B is possibly contemporaneous with C (but we do not know with certainty), then we cannot affirm that A is later than C, although the degree of certainty can be expressed in probabilistic terms.
The slower the depositional event, and the longer time it needed to end, the more difficult it can be to fix the temporal positioning on the calendar scale. On one hand, the statistical combination of estimated dates for isotopic events in the same depositional event is more difficult, because the precision of radiocarbon estimate is often "lost" in the calibration to calendar time scale (Blaauw et al. 2005). In the scenario the depositional event is assumed to have occurred along a relatively large time span (it was "slow"), the contemporaneity of constituting isotopic events is "broad," or the different depositional events seem to be functionally related in some way, we can build chronological units defined as phases.
We have used OxCal 4.4. (Bronk Ramsey 1994, 2019 and ChronoModel 2.0.18 (Lanos et al. 2016; Lanos and Dufresne 2019) software tools to integrate isotopic events that were depositionally associated with a single depositional event. In addition to that, depositional events were ordered according to stratigraphic constraints. The term "phase" is used here in the same way as Bronk Ramsey (2015) and Philippe (2018, 2020): as a group of events-isotopic and/or depositional-that are related in some way but for which there is no information on the internal ordering, and no (prior) chronological distinctions or temporal ordering can be assumed. That means, that phases are undetermined temporal Absolute Chronology at the Waterlogged Site of La Draga 911 intervals and the only way of estimating their temporal position depends on the probability of fixing the temporality of their start and end events ).
In the remaining of the paper, a phase is thus an aggregation of broadly contemporary depositional events, or a single depositional event whose formation process has been extremely slow. Martín-Rodilla et al. (2016) qualify the supposed contemporaneity of events belonging to the same phase by saying that it is a circumstance occurring over a long-time interval, during which no changes appear in the associated entities. It is the interval of the calendar scale fulfilling the condition: "there is a non-zero and calculable probability that any depositional event included within its limits contains at least one of the isotopic events to which it refers" (Barceló 2009). Furthermore, phases are groups of functionally linked archaeological units, in the sense expressed by E. Harris (1989): they are the result of a structural combination of structural archaeological spatial reference units, and not necessarily of temporal (chronostratigraphic) units (see also Cox 2001;Traxler and Neubauer 2008). Although different, both uses of the term "phase" have similar explanations when used to reconstruct the "biography" of an archaeological site. They can be viewed as individual steps in the temporal trajectory of the site occupation and formation. In both cases, a single scalar calendar date for positioning such steps is not enough, however, we could fix in some way the start and end of the activity or processes responsible for the formation of the individual event or the functionally connected set of events.

Stratigraphy and the Ordering of Depositional Events
The Harris Matrix diagrams ( Figure 4) describing stratigraphic relationships between excavated units were translated into a sequence of depositional events, whose temporal range depend on the isotopic events depositionally identified at each minimum spatial unit of reference.
The oldest depositional events correspond to the construction of foundational wooden platforms, and integrate the isotopic events measured from the foundational vertical piles at each sector: Event 1 in Sector A, Event 2 in Sector B, and Event 3 in Sector D.
In Sector A, more than 400 wooden pile tips have been recovered stuck deep in the geological lake marl under the archaeological level. Only the bottom part of the vertical piles driven into the original carbonate sands has been preserved (Event 1), while the occupation layers with organic and anthropogenic remains are affected and compacted by direct or indirect trampling from the travertine slabs above. Event 4 corresponds to the piles used for the successive repair of the platforms documented at this area, but also archaeological material found in the sedimentary filling of post-holes.
Sectors B and D, where wooden elements and organic material have been very well preserved under the actual phreatic level, present a more complex stratigraphy. High-resolution microstratigraphic analysis (Andreaki 2022) reveals a compact sediment, because of trampling action of the surface, while at the same time the decomposition of organic matter is observed. Sector B is the closest to the old lake shoreline. Radiocarbon dated samples from wooden piles related with platform repair have been integrated into Depositional Event 5. Event 8 includes nine faunal bones, cereal seeds and wooden tools found in contact with preserved wooden elements. A further distinction has been made between materials found directly on the occupation surface (Depositional Event 8a) and organic material over it but in close connection with the collapsed wooden remains (Depositional Event 8b).
Over the lake marl surface, a dark organic sediment, NAVIII, is found in some parts of Sector D; several well-preserved leaves have been identified in this layer. A dark grey sediment, NAVII, with abundant and well-preserved wooden elements (tools, branches, twigs, boards) and other organic remains as leaves or fungi, associated with charcoals, and accumulations of cereal seeds, stratigraphic unit 7001, was found in between the wooden elements. Depositional Event 6a includes a single associated isotopic event, a cereal seed (Beta 315052), found at the bottom of stratigraphic unit NAVII. Event 6b is defined by the presence of four additional cereal seeds (Hordeum and Triticum), associated with domestic activities that occurred on the wooden platforms (filling of stratigraphic unit NAVII), and probably also affected by minor post-depositional activity related with the fluctuations of the water table. Depositional Event 28 is also functionally associated with Event 6b, and it corresponds to stratigraphic unit 7001 from which, two seeds (Triticum and Papaver somniferum) were dated.
In Sector C, currently submerged underwater, the stratigraphic sequence is affected by subsequent lake marl depositions, preceding and following the archaeological layers. The alteration between depositional processes of peat, carbonate sandy sediments and lake marl silt is usual in wetland sites. The first archaeological layer, in close contact with the carbonated sands of the original lake ground, has a mean thickness of 15 cm. It is characterized by the presence of wooden elements, and a big amount of vegetal remains, as well as remains of fauna, pottery, and animal bones (Depositional Events 7a and 7b).
Absolute Chronology at the Waterlogged Site of La Draga 913 At some point, after the construction of wooden platforms and the building of dwellings and other functional structures on them, the ground surface subsided and as a result, lake water partially flooded parts of the settlement. Current phreatic level can be related to the lake water level fluctuations. At the same time, a ground subsidence of the original lake marl substrate affecting Sectors B and D of the current site has been geomorphologically identified (Iriarte et al. 2014), and it may have contributed to the collapse of the old wooden structures in this part of the site. The interplay of water input and sediment accumulation rate constrained the continuity of human activity.
The practical response to ground sinking and flooding was probably to insulate the swamped and partially inundated surface with locally available travertine slabs in Sector B-D, as the ground subsidence continued to grow with the passage of time. In this sector, immediately below this accumulation of travertine slabs, the sediment appears to be ashy and oxidated towards the top making more probable the hypothesis of an insulation layer before the deposition of travertine as the influence of dry conditions is greater. Over the travertine layer, a peaty layer was gradually formed with charred plant material, faunal remains and malacofauna.
In Sector A, most travertine slabs marking the probable second occupational surface are in contact with the original lake marl surface, probably because of the poor preservation of the wooden platforms at this sector of the site. Depositional Event 9 can be defined based on a radiocarbon dated sample from stratigraphic layer IIIB, in contact with the travertine slabs. Forty combustion features (hearths) have been identified, arranged with travertine slabs, sandstones or burnt pebbles, and include charcoal, remains of the firewood used and other burnt and unburnt material. They appear in the form of pits with basal depression of 80-90 cm in length, and with a sedimentary filling of 10-20 cm thick, approximately. The stratigraphical sequence of most of those hearths is very characteristic: a first layer containing some charcoals and mixed archaeological material, fragmented travertine slabs and some sandstones and a second layer above, with a bigger number of charcoals. The top of the second layer is covered by a new accumulation of travertine slabs. Depositional Events 10-19 have been identified corresponding to samples dated from different hearths. Cereal seeds and charcoal remains in 10 out of the 40 differentiated hearths contribute to their chronological definition.
Apart from the identified hearths, there are other differentiated spatial units in Sector A, also formed by arranged travertine slabs of various measures, with a certain basal depression approaching 20 cm of thickness. These distinct structures are filled with large quantities of diverse archaeological material such as charred seeds, animal bones, fragments of pottery, quartz, flint and bone tools, pieces of ornaments and grinding tools. Because of the kind of materials they contain, such structures have been interpreted as landfills for food waste and remains of discarded objects (rubbish) ( Figure 5).
Depositional Event 20 corresponds to E254, an irregularly shaped pit filled with a brownish grey sediment of clayey texture (total extension: 5.20 × 3.80 m) and containing abundant archaeological material such ornamental objects. A single isotopic event corresponds to it. Event 21 defines the temporal position of E260, another small oval shaped arrangement of travertine slabs (75 × 54 cm), with a maximum thickness of 17 cm, found over the lake marl substrate. It is filled with a greyish clayey sediment and contains travertine slabs of different measurements between 5 and 30 cm. The material recovered, apart from the slabs, is characterized by an accumulation of faunal remains anatomically connected. An isotopic event associated to this deposition has been measured from a bone.
Depositional Event 24 corresponds to the formation of E263, another arrangement of travertine slabs, whose bottom part was dug into the lake marl substrate. Its sediment is organic of darkish color, containing charcoals and a large amount of archaeologic material, especially faunal remains. A single isotopic event from this deposit comes from an animal bone fragment. An isolated seed coming from a concentration of pottery sherds located in an extreme corner of the excavated area contributes to defining Event 27.
E258, an irregular oval shaped arrangement (5.10 × 1.30 m) of different sized travertine slabs between 5 and 50 cm, has been divided into two differentiated depositional events (Events 22 and 25). Although the structure is filled with a homogenous dark clayey sediment containing a big number of charcoals, sedimentary differentiation between the bottom and the top allows distinguishing two different moments in its construction and filling. A single isotopic event for each of these depositional events comes from animal bones identified at a precise location. This is also the case of E261, a big distinctive spatial unit (5.40 × 2.95 m), with a basal depression dug into the lake marl substrate and a filling sediment and content like E258. Its differentiated sedimentary sublayers have been distinguished depositionally (Events 23 and 26).
Stratigraphic and depositional units defined in Sector A can be explained as synchronous and/ or post-depositions of travertine arranged features. A darkish brown sediment with some modern archaeological material, extending all over Sector A, covers them. The top of the Absolute Chronology at the Waterlogged Site of La Draga 915 second layer is covered by a new accumulation of travertine slabs. Overlying the travertine associated features, there is a darkish grey sediment, marking the end of travertine use in Sector A.
The second occupation in Sector D seems to be slightly different. It contains stratigraphic units characterized as pre-depositional and/or synchronous with the paved surface made of travertine slabs of various sizes. This includes, stratigraphic unit NAVI extending all over the excavated sector immediately below the paved surface of travertine slabs and just above the preserved wooden elements from previous occupation. Stratigraphic units NAVIa, NAVIa-a, and 6005 have been detected only in some parts of this sector. Stratigraphic unit NAV corresponds to travertine slabs defining an apparently paved surface, and NAIV is found above this accumulation of travertine slabs. These sediments are of terrestrial origin, either from fluvial transport or from accumulation after torrential rains, and they deposited in a very short time interval covering the trenches and basins caused by ground surface subsidence. Those layers are mainly composed of clays, and very poor in archaeological material.
The fact that the plant remains from this second occupation have only been preserved by carbonization suggests that these more recent layers remained above the water table for most of their post-depositional history. Event 29 contains a cereal grain coming from a stratigraphical layer immediately above the wooden collapse layer. It is defined sedimentologically by clays with plastic texture and a high presence of organic material, and extends throughout the excavated Sector D. Stratigraphically above it, depositional event 30 is defined by another cereal grain coming from a restricted area characterized by a peaty sediment of dark color, with little presence of archaeological material and mostly consisting of decayed organic matter, whose inferior part is in contact with the travertine paved area.
Apart from these depositional events, additional excavated units have been associated to second occupation syn-depositional and/or post-depositional events. These are stratigraphic units III, II and I. Stratigraphic unit III contains fragmented travertine slabs and coincides with the upper part of the paved surface. Stratigraphic units II and I are clearly postdepositional events, as they consist of a darkish sediment with decayed organic matter and scarce mixed archaeological material. Event 31 contains a sample of fauna from a sandy greyish sediment containing travertine sand and fragmented slabs and is stratigraphically correlated with this upper part of the travertine slabs found in the paved area.

Radiocarbon Dating
There are 62 14 C dates from short and medium long-lived samples from all the sectors of the site (Table 1). Cereal and fauna samples refer to domesticated species. All dates correspond to singular elements, and their precise 3D location and stratigraphical association allows assigning all of them to depositional events.
The dated samples correspond mainly to short-lived samples as cereal seeds and bones, but also charcoal and wooden material retrieved during the excavation, among them several wooden piles. In order to avoid the old wood effect, when possible, the last rings of the wooden piles were sampled for radiocarbon dating. Sectors A and B-D are the best dated, with 29 dated samples coming from Sector A, 15 from Sector B, and 12 from Sector D. In contrast, we dispose of only six radiocarbon dated samples from the underwater Sector C. Beta-0000 is a date of which we dispose no lab number at the moment. However, the 14 C date has been already used in previous publications (Colominas et al. 2015;Bogdanovic et al. 2015).
Absolute Chronology at the Waterlogged Site of La Draga 919 Most samples have been retained for analysis, even with relatively large lab errors. Only when statistical analysis proves that there is an error in the estimate, the date has been processed as an outlier. AMS and conventional methods have been both considered, and only when discrepancies are very clear, a separate analysis has been carried out.

Dendrochronological Analysis
The excavations carried out to date at the site, have made it possible to recover 1271 piles and 494 horizontal timbers, counting 1765 structural timber logs that can potentially be dendrochronologically measured. The dendrochronological analysis of the piles is still in progress (Piqué et al. 2021;López-Bultó et al. forthcoming). The vast majority (>95%) of timber logs have been determined as oak wood (Quercus sp. deciduous) (Bosch et al. 2006;López-Bultó and Piqué 2018). Other taxa identified are hazel, laurel, and dogwood. Another main characteristic of the archaeological wooden timbers from La Draga is their relatively small average diameter, especially the low average number of tree rings per sample. The number of samples with less than 30 tree rings is higher than 70% (López-Bultó and Piqué 2018). Many samples with higher number of tree rings have very narrow rings, with almost no latewood, which make their measurement difficult.
So far, tree rings from 136 piles and horizontal timber logs have been described and measured, providing a floating dendrochronological sequence that covers an interval of 265 years. The dendrochronological sequence could not be correlated with any other, due to the absence of an absolutely dated dendrochronological sequence covering the Neolithic period up to the present of the northeastern part of the Iberian Peninsula.
Prehistoric inhabitants used "fresh" tree trunks for building. The preservation of the last growth ring (cambium. cf. Rathgeber et al. 2016) in 66% of the dendrochronologically measured piles allows establishing a single depositional event of tree felling during the winter of the year 237/238 of the local tree ring sequence. Eight percent of the measured logs appear to be older, however, having been cut between winter 233/234 and winter 236/ 237, and they may come from reuse, stored wood, or dead standing trees. The latter (year 236) may have the same origins as the older ones or, more plausibly, have been part of a preparatory felling for the main site that would begin the following year. The strict contemporaneity of most of the wooden elements used for construction is quite unusual compared with other apparently contemporaneous lakeside settlements. In Switzerland (and throughout the Alpine Arch) in sites dating to the Early Neolithic period, settlements are generally smaller, and it is unlikely that the construction of built structures occurred simultaneously. On the contrary, settlements grew gradually, expanding to neighbouring areas, such as the case of Hornstaad-Hörnle IA, built from 3910 BC onwards (Billamboz 2006), and Sutz-Lattrigen/Riedstation, built between 3393 and 3389 BC (Hafner 1994). Similar processes are also documented for more recent settlements like Cortaillod-Est, dated in the Final Bronze period (Gassmann 1984;Arnold 1986).

Cross Dating: Dendrochronology and Radiocarbon Dating
A sample of 13 architectonical wooden elements have been dated by radiocarbon. For nine of them, the last growth ring (cambium) has been dated by AMS. The other three dates come from conventional radiocarbon dates of groupings of outermost rings of the same log. Seven samples correspond to the foundational tree felling, and other six to timber logs used for the repair of the wooden structures after that date (see Table 2).
All samples are water-saturated wood sherds, which could have altered the original radiocarbon content. Waterlogged samples have poor cellulose preservation; although ABA treatment should have removed possible contaminants, it is not as effective dealing with problems that may have been caused by potential rootlets of plants living around or on the   (Sjögren 2011). Furthermore, there are relevant differences in the post-depositional alteration generated by the differential accumulation of water under the wooden platforms. Water should have been accumulated during humid winters and evaporated during dry summers. This summer evaporation, however, would have been different in open areas than in built areas, where the ground retained moisture (eastern part of the excavated area of this sector). As a result, organic material from open areas between buildings, and materials below wooden platforms would have reacted differently to waterlogged conditions, variations in phreatic level and the differential accumulation of decomposed organic material.
Unlike the rest of the logs, used as vertical piles, sample TT0468, the thickest preserved log, is the only dated horizontal board, and therefore its post-depositional reaction to waterlogged conditions would have been different. Using the IntCal20 calibration curve, the statistical combination of the 6 radiocarbon dates that passed the test give an estimate of 6311 ± 17 BP, and a calibrated confidence interval between 5313 cal BC and 5222 cal BC (68.3% interval). The median is situated at 5254 cal BC.

RESULTS
A preliminary wiggle-matching Bayesian model using most radiocarbon dates and the dendrochronological gaps between foundational piles and the ones assigned to later repairs has been estimated. The model has very poor agreement (A comb = 28.7) given the presence of three additional outliers (UA-62940, UBAR-314, and Beta-505910). After deleting those outliers, general agreement increases significantly (A comb = 136.6) ( Figure 8). In practice, Figure 8 Wiggle-matching of dendrochronological ordered piles after deleting outliers. Calculated using OxCal 4.4. and IntCal20 calibration curve.
the size of the index of agreement in a wiggle-matching model varies depending on the way original dates over-quote or under-quote their respective lab errors, but also on how constrained the wiggle-match sequence is by the shape of the calibration curve . At this point, it is important to remark the clear bimodality of IntCal13 and IntCal20 calibration curves after 7100 BP, probably caused by variability of atmospheric 14 C content at this time interval or by poor original sampling (Oms et al. 2016;Manen et al. 2019;Reimer et al. 2020;Bayliss et al. 2020). This adds uncertainty to the estimation of the calendar age of outer tree rings. For the time being, only outer tree rings have been dated using radiocarbon. We are aware that using inner rings of some of the piles we will have the chance to get a steeper part of the calibration curve into our wiggle-match. Dendrochronological analysis is not yet finished and when more samples get extracted, the more they will "spread out" and the better the resulting precision will be. This can be achieved by minimizing the number of possible positions where the distribution of radiocarbon dates can match the calibration curve. For the moment, existing dates only serve as an initial hypothesis.

Dating the First Occupation at La Draga
Wiggle-matching only allows for an estimate of the temporality of depositional events 1, 2, and 3, based on isotopic events associated with the last growth ring of piles used for construction and posterior repair. There are additional radiocarbon dated samples that have been stratigraphically associated with this first occupation (from Depositional Events 4, 5 and 6a, 7a, 8a). They do not pass the Ward and Wilson test and therefore we cannot assume directly the strict contemporaneity of all archaeological deposited material from this first occupation. Nonetheless, its duration was presumibly very short given the small number of tree rings between piles used for the initial foundation and the youngest piles used for repair (approximately 30 years).
In Sector A, Depositional Event 4 is statistically coherent around 5266 cal BC (median of the 5303-5217 confidence interval 68.3%), well within the most probable period of use of the wooden platforms estimated by the wiggle-matched model. with all contemporary sampled dates related with this moment of use and repair of wooden platform.
Dated samples from depositional events 6b, 8b from Sector B and D, and depositional event 7b from Sector C, show recurrent estimates much younger than any sampled date from this first occupation, related with the use and repair of wooden platforms. All of them pass the Ward and Wilson test and give a combined estimate 68.3% confidence interval around 5206-5032 cal BC. They cannot be used to suggest the moment of use or repair of the wooden platform, although stratigraphically they are in close connection with horizontal timber boards. This apparent contradiction could be solved by considering hypothetically two differentiated moments of platform use, one centered around 5270 cal BC and the other around 5097 cal BC (median of the 68.3% confidence interval 5206-5030 cal BC). However, this hypothesis contradicts with dendrochronological data and the results of high-resolution spatial analysis (N. Morera, forthcoming) suggesting a single and relatively short occupation of no more than 30/40 years.
The reasons for this apparent chronological difference within the first occupation lie in postdepositional factors (Andreaki 2022). A pre-and post-depositional subsidence of the original surface (Iriarte et al. 2014) observed in Sectors D and B but not at Sector A-altered the original deposition at those areas. To test partially this post-depositional alteration hypothesis, we have compared differences in radiocarbon calibrated dates depending on the material of the dated sample. Wooden objects (Beta-137197 and Beta-137198) are clearly older than seeds coming from the same stratigraphic layer NAVII (Figure 9). Faunal samples show a clear stratigraphic inversion, where samples found at the top of the archaeological layer NAVII (Beta-588213; Depositional Event 8a), appear to be older than samples found at the bottom, in contact with the original lake substrate (Beta-588214; Depositional Event 8b). Social life occurred on platforms, but also on the ground surface, therefore material elements may have been deposited above horizontally disposed boards and below them. Puddled water below wooden platforms may have caused the slow sinking of material fallen from the platform during use (cereal grains and charcoals) (Andreaki 2022), but there is also the possibility of the intentional anthropic burial of materials. No chronological difference should exist between samples found in contact with the preserved wooden elements, and those under them, found in contact with the original lake marl surface. The spatial microanalysis of animal bones gives partial support to this hypothesis (Morera et al. 2019).
It is then very difficult to identify the very last moment of this first occupation associated to the wooden structures. Some elements coming from the second occupation may have been infiltrated into the older occupation debris because of indirect pressure from the accumulation of travertine slabs above. Some light charcoal and seed samples would have floated as they felt in the water table, and as a result would not get sunk immediately, as in the case of heavier wooden artefacts. Furthermore, Depositional Event 28 appears to be a small pit excavated penecontemporaneously or after the start of the second occupation, and stratigraphically affecting the ground below.
The end of La Draga's First Occupation and the probable abandonment of the site for some years can be explained by a combination of environmental changes that occurred on the shores of Lake Banyoles, given intense forest exploitation and the geomorphological evolution of the lake shoreline. Although some short and temporal reoccupations cannot be excluded given the number of piles that have not yet been dendrochronologically dated, a subsidence of the ground surface of those parts of the settlement nearer to the shoreline marks a probable interruption of social life at the site, as the micromophological data suggest. Those analysis suggest that the ground subsidence was already present before the first occupation, to a lower degree, although it would probably not have been perceptible to the inhabitants of La Draga. In fact, the earlier beginning of this subsidence at a smaller degree is what made possible the accumulation of organic materials in Sectors B-D and the formation-preservation of peaty strata. Further subsidence during the following years and the parallel increase of the water table in this sector of the site may have been the reason of its abandonment. The constant water presence in this area would have also delayed the site's re-occupation for some time. Absolute Chronology at the Waterlogged Site of La Draga 929

Dating the Second Occupation at La Draga
There is a possible gap of approximately 100 years (or a bit more) between the collapse of the wooden structures and the beginning of a new occupation, a time interval in which the site may have been abandoned. Signs of exposure have been detected microscopically in the sediment of Sector D just above the preserved timber planks, highlighting a period of exposure before the arrangements for the new occupation (Andreaki 2022). Pollen data retrieved from the beginning of the new occupation suggest that the forests around the new settlement would have experimented a clear recovery after a period of local deforestation during the first occupation (Revelles 2017(Revelles , 2021Revelles et al. 2017). 100 years seems a likely estimate for the time interval during which the forest recovered.
This new occupation is associated with the arrangement of travertine slabs forming a pavement, perhaps as a kind of insulation platform to reduce the passage of groundwater and isolate the occupation floor from the mud. The new occupation would have been longer than the first, and some different moments can be distinguished (Andreaki 2022).
In Sector A, the first and second occupations are clearly differentiated. A two sequential phases OxCal model gives a A overall =134.9 after deleting three outliers. The end of the first occupation can be estimated around 5252 cal BC (median of the 68.3% confidence interval), a transition between both phases around 5211-5199 cal BC, and the beginning of the new occupation after a probable hiatus of more than 50 years, well attested in the settlement areas less affected by the changing levels of the lake's water table.
Material from hearths in Sector A (Depositional Events 9-19), made of travertine slabs located in close stratigraphic contact with the original lake marl surface, is the oldest from this occupation. All available dated samples (bones and seeds) have been combined after passing successfully the Ward and Wilson test, suggesting a date around 5066 cal BC (median of the 5205-5013 cal BC, 68.3% confidence interval). Two cereal samples from Sector D (Beta-315050, Beta-315051) are statistically contemporaneous. They come from two different Depositional Events: 29 and 30. Depositional Event 29 is a clay layer with high presence of organic material immediately above wooden collapsed materials from previous occupation. Depositional Event 30 is a sediment of dark color, with little presence of archaeological material and mostly consisted of decayed organic matter, whose inferior part is in contact with the travertine paved area (Andreaki 2022 Radiocarbon dates from underwater Sector C do not change the broader conclusions. Four faunal bones and cereal seeds come from this sector. Statistically, the four radiocarbon dates do not pass the Ward and Wilson (1978) test. The stratigraphically deepest dated sample appears to be older (68.3% confidence interval: 5372-5067 cal BC) than samples coming from superior layers (68% confidence interval: 5216-4981 cal BC). Dates show however a relevant degree of chronological overlapping.

Global Chronological Model
A detailed chronological model has been calculated based on the assumption of 9 differentiated "phases" (Figure 10). The first one integrates the original tree-felling and the pile-dwellings construction (Phase "Construction", Depositional Events 1, 2, and 3), whereas the Phase "Use and Repair" brings together all the samples associated to wooden structures use and repair (Depositional Events 4, 5, 6a, 7a, 8a). A single outlier (Beta-425194) has been deleted. These first two phases have TPQ and a TAQ constraints based on the results of the previous wiggle-matched model based on the difference in the number of tree rings between logs used for construction and logs used in later repairs from 5290 cal BC until 5250 cal BC. Both estimates have 10 years of standard error.
After a gap of 50 years representing a moment of abandonment of the local area, a "Transitional Phase" collects samples mostly from first occupation that experimented some form of stratigraphic inversion as a consequence of karstic subsidence and changing levels in phreatic level (Depositional Events 6b,7b,8b,28). During this chronologically separated transition phase, reuse of space is not excluded. Absolute Chronology at the Waterlogged Site of La Draga 931 The Second Occupation is analyzed as configured by three different moments: "Second Occupation" (Depositional Events 9-21 from Sector A, Depositional Events 29 and 30 from Sector D), "Spatial Rearrangement" (Depositional Events 22 and 23 from Sector A), and "Last Neolithic Occupation" (Depositional Events 24-27 from Sector A, and Depositional Event 31 from Sector D). Three posterior phases distinguish the dated samples found in more recent layers, affected by ancient and modern erosion.
A preliminary OxCal implementation of this model distinguish four outliers: HD-15451, UBAR-313, UBAR-311, too modern, although global model agreement is very high (A model =108 A overall =101). UBAR-311 is a problematic non-AMS sample, with an excessively long standard lab error. UBAR-313 is another non-AMS dated sample, and HD-15451 is an isolated finding. Beta-315051 is another problematic date. Initially considered characteristic of the second occupation, it was found very deep in the stratigraphic sequence (NAIV), but in close contact with travertine samples above. It seems much more related with use and repair of wooden structures than with later phases. We have deleted those dates and executed the model again, with a huge gain in agreement (A model =167.8, A overall = 167.8).
According to this model ( Figure 10, Table 3), a first occupation on the shores of lake Banyoles can be placed along the temporal interval of 5302-5247 cal BC. The hiatus in which areas of the settlement were probably abandoned, although temporal and short reoccupations cannot be excluded would have arrived until ca. 5100 cal BC. The depositional events integrated into the so-called Transitional Phase appear to be later that the most probable start of the Second Occupation. On one hand, the oldest dates for second occupation (Beta-422871 and Beta-315050), around 5200 cal BC, are a priori too old for dating properly the moment the original ground was insulated with travertine slabs. The remaining dates are grouped around a median of 5075 cal BC. The best hypothesis would be to make emphasis on a relatively long period of abandonment (100 years) and a relatively later reoccupation with restructuring of the ground surface. On the other hand, most dated samples from the Transitional Phase are small seeds between the remains of the wooden debris and the travertine slabs, that may have been affected from the second occupation and the influence of groundwater.
The second occupation would be longer than the first one, from 5075 cal BC until 4860 cal BC. Two successive settlement rearrangements may be suggested, the first around 5061-5025 cal BC and the second and last one around 4917-4821 cal BC. Very few remains of occupation exist for the period after 4800 cal BC.
ChronoModel 2.0 (www.chronomodel.fr) has a different way to calculate the a posteriori temporal intervals. It is based on the concept of Event (Figure 11). An Event is a point in time for which a hierarchical Bayesian statistical model can be defined (Lanos and Dufresne 2019). In our case, it corresponds to what we have defined as a depositional event, when the temporal duration can be argued as less than the lab error of the isotopic date. A Phase is a group of Events, and it is here defined as a series of related depositional events, whose joint temporal duration exceeds 30-40 years. The modeling approach is very different between OxCal and ChronoModel, although in both cases the temporal duration of phases is estimated in terms of the difference between a start and an end event. We have used exactly the same number and definition of phases in the models implemented in OxCal and ChronoModel. ChronoModel differs from the OxCal model in the way depositional events and their stratigraphic anterior/posterior constraints have been included. Unlike Event model, the Phase does not respond to a statistical model: indeed, we do not know how events can be a priori distributed in a phase. However, we may question the beginning, end or duration of a phase from the Events that are observed there (query). A level of a priori information can be added: the Events from one phase may be constrained by a known duration and a hiatus between two phases can be inserted (this imposes a temporal order between two groups of Events). In ChronoModel, constraints link events and not calibrated dates. (Lanos et al. 2016;Lanos and Philippe 2017).
The idea is to estimate the unknown date of phases based on dated samples associated to Events, which in their turn, are associated to Phases. The event model, implemented in ChronoModel, combines contemporary dates, t 1 : : : t n , with individual errors, σ 1 : : : σ n in order to estimate the unknown calendar date θ. The following equation shows the stochastic relationship between t i and θ : where ε CM i~N 0; 1 for i=1 to n and ε CM i , : : : , ε CM n are independent. θ is the unknown parameter of interest and σ 1 : : : σ n are the unknown standard deviation parameters. That means that each parameter t i can be affected by errors σ i coming from different sources (Lanos and Philippe 2017).
The temporal position of each phase on the calendar scale is estimated according to the events included in it. The following information are given for each phase: • The beginning of a phase, α, reflects the minimum of the r events included in the phase: a minθj; j 1 . . . r Absolute Chronology at the Waterlogged Site of La Draga 933 • The end of a phase, β, reflects the maximum of the r events included in the phase: β maxθj; j 1 . . . r • The duration, τ, is the time between the beginning and the end of a phase: The posterior distribution of all these elements may be approximated by MCMC methods and statistical results such as the median, the standard deviation and so on, may be estimated (Lanos and Dufresne 2019).
The idea is to reduce the uncertainty of calendar date estimates using hypothesis of starts and ends based on stratigraphic relationships, or the number of tree rings between different radiocarbon samples of the same tree-ring sequence. Both computer programs apply Bayesian probability reasoning to define the proper limits of their assumed broad contemporaneity in terms of the spread of the dates, and the interphases or boundary temporal limits of the phase. In ChronoModel, the radiometric date of an event is assumed to be affected by an unknown error sigma, which will be estimated a posteriori. If this error is too large, compared to the error of other dates, we will be dealing with an "outlier," and in this case, OxCal would have displayed an A i lower than 60%. On the other side, in ChronoModel, there is no need to remove this date: it will be automatically discounted because of this high individual posterior error Philippe 2018, 2020). Consequently, in ChronoModel, there is no sorting of dates according to outlier elimination steps: all dates are considered, but some of them are later discounted, and as a result, do not affect the phase temporal range when they diverge from the other dates (Lanos, personal communication).
To reproduce exactly the model previously estimated using OxCal, two temporal bounds were included in our ChronoModel estimation (Figure 11), representing the dendrochronologically deduced temporal limits: 5293 cal BC for the beginning of the process (tree felling), and 5272 cal BC for the last documented repair. We have added 10 years in this last case concerning the uncertainty of the last moments of wooden platforms occupation. After that bound we have defined a "Transition Phase," with an additional uncertainty of 100 years, and a gap of 50 years before the beginning of the second occupation. This is exactly the same model we defined using OxCal 4.4. The second occupation is differentiated from the later spatial arrangement and the last evidence of a Neolithic Occupation. Post-Occupation evidence has been integrated into three different phases.
MCMC has been configured with 1000 burn-in iterations, 500 further iterations for the adapting cycle, and finally 100,000 iterations for the final acquisition of posterior distributions (thinning = 10). Gelman-Rubin test is not yet implemented in the current version of ChronoModel 2.0. Consequently, we have checked the MCMC convergence visually by locking at the stability of autocorrelation plots. We have also checked the acceptance rate at 44% in the case of a Metropolis-Hastings with a Gaussian random walk (Roberts et al. 2001), and the decorrelation of the variables (Lanos, personal communication).
The same outliers that were deleted in the OxCal model were eliminated, once we have checked that acceptance rate in ChronoModel for those dates was also around the 44% threshold. Results obtained by ChronoModel are in good consonance with those obtained with OxCal ( Figure 12, Table 4). Both models give support to the hypothesis of a hiatus of nearly 100 years between the end of the first occupation and the beginning of the second, but precise estimates for their start and end slightly differ. It is important to consider, however, that this is not an occupation phase, with clear-cut start and end, but a region of temporal uncertainty where post-depositional processes affected previous and posterior stratigraphic layers.
Both models agree with an estimate for the beginning of the second occupation around 5090 cal BC. Nearly 70 years after, there is evidence of a spatial arrangement of built spaces. According to both models, the last evidence of Neolithic occupation was not later than 4780 cal BC. Figure 12 Results of a 9 Phases Chronological model. ChronoModel 2.0. IntCal20. Each Phase is depicted with a different color. The lighter color corresponds to the a priori confidence interval, whereas the darker color depicts the a posteriori Bayesian estimation.
Using the above stratigraphical ordering and radiocarbon estimates for the duration of depositional events, a general temporal sequence was defined based on Allen algebra estimated temporal relationships (Allen 1983;Zoghlami et al. 2012;Dye and Buck 2015;Belussi and Migliorini 2017;Drap et al. 2017;Barceló and Andreaki 2020) (Figure 13). The period of transition between the first and second occupation remains in the temporal interval from 5200 to 5100 cal BC, although there is a clear overlapping with depositional events from the second occupation (Depositional Events 29 and 21).

La Draga in the Chronological Context of the Early Neolithic of the Western Mediterranean Region
Very few traces of pre-farming, Hunter-Gatherer Mesolithic occupations, are known for the Lake Banyoles area. At Bauma del Serrat del Pont (Tortellà) (Alcalde et al. 2009;Alcalde and Saña 2017), 20 km from La Draga site, in a slightly different ecological niche, a human occupation dated around 7380-6000 cal BC has been identified. Its material culture can be attributed to a local technological tradition referred to as "notches and denticulate Mesolithic" (Martínez-Grau et al. 2020), which developed locally in NE Iberian Peninsula and extended from the Pyrenees to the Mediterranean seaboard and in the Ebro basin. Bauma del Serrat del Pont is a small rock shelter, and it was occupied repeatedly during this period, with at least five different seasonal occupations registered, the last one extending until ca. 6000 cal BC. The archaeological record suggests a recurrence of short occupations by small groups, probably between the end of summer and the beginning of winter, practicing a very homogenous strategy based on intensive exploitation of medium and large mammals. There is evidence derived by marine valves concerning river fishing and travels to the Mediterranean coast (Alcalde and Saña 2017). Absolute Chronology at the Waterlogged Site of La Draga 937 The abandonment of Mesolithic occupations in the area near the Banyoles lake is not an isolated historical event. Studies based on the sum of probability intervals of radiocarbon dates have suggested a decay in the number of known sites between 5900 and 5700 cal BC (Balsera et al. 2015;Bernabeu et al. 2016;Bernabeu et al. 2017;Fyfe et al. 2019;Pardo-Gordó and Barceló 2020;Martínez-Grau et al. 2021). Bernabeu et al. (2017) have linked this occupational interruption with dry and cold intervals having occurred regularly on the area. One of them would have happened before the arrival of farmers, possibly related with the North Atlantic ice rafting debris 5b IRD event, dated around 5900 cal BP (Frigola et al. 2007;Wanner et al. 2011;Finné et al. 2019). We must be careful about using these climatic anomalies to explain changes in the archaeological record. The Banyoles lake is in a humid region and such an event would not have implied dramatic changes in the landscape, as might have happened in more arid regions such as the southeast of the Iberian Peninsula. We must bear in mind that in the case of the lake, a phase of higher humidity or an increase in rainfall (lake flooding and inundation) would probably have more effect than aridity. With available data, we cannot be certain whether a temporal increment in aridity caused variations on the lake shoreline and the phreatic water level to explain the probable abandonment of the settlement for a while. The last volcanic eruptions in the neighboring volcanic area of Garrotxa-Olot-20 kms from the lake-may have also some impact on depopulation (Maria Saña, personal communication).
In stratigraphic continuity with the last Mesolithic occupation, but nearly 500 years after (5470-5380 cal BC), a new occupation at Bauma del Serrat del Pont differentiates from Figure 13 Allen Algebra adapted diagram for site occupational temporal sequence representing depositional events E-1 to E-31 and their respective phases. Black vertical lines mark the end of clear evidence from first occupation (5200 cal BC), as well as the beginning (5100 cal BC) and end of second occupation (4800 cal BC).
previous occupations by the presence of a very early appearance of Cardial pottery (Alcalde et al. 2001;Alcalde et al. 2009;Alcalde and Saña 2017;Palomo et al. 2021). It is a very short occupation by a small group of people within a rock shelter, and a very thin stratigraphic layer. No remains of domestic animals or plants have been discovered. Cova del Toll, at 86 km southwest of Bauma del Serrat del Pont, also shows the same kind of pottery material in an archaeological record with similar dating (5510-5310 cal BC; 5490-5290 cal BC) (Cebrià et al. 2014;Oms et al. 2014Oms et al. , 2018. It is associated mostly to wild animals, but with possible presence of ovis/capra remains. The beginning of the first occupation at La Draga is clearly later (from 5290 cal BC onwards, as suggested in this paper), and the Cardial pottery decoration seems also to be stylistically more developed than the oldest sherds from Bauma del Serrat del Pont and Cova del Toll (Bosch and Tarrús 2011; Revelles 2021). This fact could offer an explanation to the scarcity and dispersion of early Neolithic sites. At a very local level, a climatic anomaly around 5500-5000 cal BC suggests some abrupt cooling associated to temporally reduced precipitation (Jalut et al. 2000;Frigola et al. 2007;Vegas et al. 2010;Pérez-Sanz et al. 2013). The hypothesis of colder environmental conditions at the time of settlement foundation is reinforced by δ 18 O values obtained from archaeological wooden remains of Phase I of La Draga (Aguilera et al. 2011). Differences between sub-fossil and extant samples in δ 13 C and δ 18 O records suggest slightly lower temperatures and higher plant water availability than at present during the establishment of agricultural practices at the site. These environmental conditions at the time of the first settlement building could possibly explain the exposure of the shoreline of Banyoles Lake allowing its human occupation. A regression of the lake level, exposing carbonate sandy beaches at some points along the lake margin, would make it attractive for Neolithic communities to settle in a place devoid of vegetation. This would be a highly valued space in the context of a densely forested landscape.
Cardial Pottery for the first occupation in La Draga (ca. 5293-5272 cal BC/5298-5245 cal BC) are characterized by the predominance of shell impressions, together with dragged shell impressed motives, organized in one or two bands parallel to the vessel rim, that were absent in older settlements (Bosch and Tarrús 2011;. The relative frequency of shell and comb impressions, and the presence of smooth non digitized cords seems analogous to elements from the French region of Languedoc (Manen and Guilaine 2007;  (Manen et al. 2019). The use of flint raw material from the Narbone-Sigean area at La Draga at this time is another evidence of the particular relationship with South France ) during the first occupation.
Geomorphological and sedimentary history of Lake Banyoles has always been really very active and complex (Valero-Garcés et al. 1998;Höbig et al. 2012;Lacey et al. 2016) and it would have affected human activites at their changing shores. The end of La Draga's First Occupation and the suggested abandonment of the site for some years can be explained by a combination of environmental changes that occurred on the shores of Lake Banyoles because of intense forest exploitation and the geomorphological evolution of the shoreline which also affected the ground near the lake.
The intensive and continued exploitation of forests for various activities, such as obtaining raw material for tools, platforms, and dwellings, or as fuel in several domestic and communal productions became the main cause for the anthropic transformations documented at the end of the First Occupation (Revelles 2017;Mercuri et al. 2019). Human impact on the forests around the Banyoles lake is not associated with increasing levels of Cerealia-t pollen nor spores of coprophilous fungi. It suggests the limited impact of agriculture and herding on the landscape but the relevance of timber procurement for building issues as a probable cause for small-scale forest modifications Revelles 2021). According to excavation results, the density of oak trunks used for building wooden platforms and other structures clearly exceeds 1 trunk per square meter, which amounts to the felling of 1000 trees, only for the excavated area of 800 m 2 (Revelles et al. 2018), and the felling of 18750 trees for the estimated 15,000 m 2 of the settlement's total extension. Using modern figures for oak density in Pyrenean forests (927 trees per hectare. Cf. Banquét et al. 2013), this would have involved the logging of twenty hectares of forest in a very short period.
The site is reoccupied less than 100 years after the abandonment of the first occupation, and important work is made for conditioning the ground surface. This new occupation, 5111-4788 cal BC/5095-4861 cal BC), coincides with the full spread of farming economies in the whole NE Iberian Peninsula. This scenario of human expansion in the area explains the increase in the number of contemporary archaeological sites around the Banyoles Lake. Nearby la Draga, we must consider the case of the open-air settlement of Plansallosa, whose first occupation presents some materials that can be related to La Draga's second occupation, but with imprecise dates around 5250-4940 cal BC and 5230-4910 cal BC. Balma del Serrat del Pont (Alcalde et al. 2017) also shows some short occupations that can be contemporaneous or slightly later than La Draga's second occupation. La Dou is a sparsely distribution of hardly contemporaneous huts over an area of 800 m 2 , clearly later than archaeological evidence from La Draga. In the lowlands around the Mediterranean coast, at 50 km from Banyoles Lake, two new settlements have been identified at a swamped landscape near the shoreline (Ca n' Isach, Puig Mascaró). At Serra del Mas Bonet (Vilafant) (Rosillo et al. 2012), an open-air settlement has been excavated (4909-4862 cal BC). In general, we can say that the expansion of farming settlement around the Banyoles lake area is contemporaneous with Full Neolithic population expansion in the Northeastern Iberian Peninsula (Barceló 2009;Martín et al. 2010;Oms et al. 2016;Bernabeu et al. 2017;Oms 2017;García Puchol et al. 2018;Manen et al. 2019;Martínez-Grau et al. 2020).
No Neolithic remains can be dated in La Draga after 4800 cal BC. Balsera et al. (2015), Bernabeu et al. (2017), García-Puchol et al. (2017, 2018, Drake et al. (2017), Fyfe et al. (2019), Pardo-Gordó and  have argued about a probable decline in accumulated probability of dating archaeological sites after 4700 cal BC, and hence a relevant change in settlement patterns and population estimates from this date on. The causes of this sudden "bust" following the demographic boom of period around 5100/5000 cal BC remain unclear, but it should be related with the rapid fission within early farming communities, fission in turn caused by competing centrifugal and centripetal economic forces within small-scale egalitarian groups (Leppard 2022). Internal (Shennan et al. 2013;Bernabeu et al. 2015Bernabeu et al. , 2017 and externals drivers (Gronenborn 2009;Walsh et al. 2019) have been proposed to explain this phenomenon. In any case, at la Draga, postdepositional activity and erosion of the upper layers at the site cannot allow explaining the possible abandonment of the site nor its connection with higher scale depopulation trends in temperate Europe, like those analyzed by Shennan et al. (2013) among many others. At La Draga, no particular geomorphological event seems to be related with the last evidence of Neolithic occupation, nor we have any evidence regarding a change in local environmental circumstances after 4800/4700 cal BC. Erosion has heavily affected the upper layers of La Draga, however, and archaeological remains are not as abundant or well preserved than those from the first occupation. From 4500 cal BC onwards, that is, during the Middle Neolithic period, the Lake Banyoles area would have been less frequented than in the previous period, although not depopulated. Short time occupations are known, around Serinyà, during the so-called Post Cardial Neolithic period (4500-3900 cal BC) . A relevant impact of agricultural practices is not well confirmed until Late Neolithic-Chalcolithic (after 3500 cal BC), when short deforestation processes occur, producing a combination of evidence of crops (Cerealia t-type) and weeds (Plantago major-media, Chenopodiaceae) and local fire episodes affecting riparian forests, probably associated with slash-and-burn agriculture ). Post-Occupation dated samples from the underwater Sector C could be related.

CONCLUSIONS
The site of La Draga is a lakeside archaeological settlement in the NE Iberian Peninsula, with extraordinary preservation of wooden elements and other organic materials. A local tree-ring sequence of 265 years has been obtained from the piles used for the construction during the settlement's First Occupation. The research carried out so far concludes that most trees used for construction were cut in the same year (the winter of the 237/238 year in the local sequence), suggesting a single prominent construction event at the beginning of the occupation. Using radiocarbon dates from the last ring in 7 of these logs, we have estimated the installation year at around 5300 cal BC. This first occupation ended rather suddenly 30/40 years after the first construction. Two different wiggle-matching models estimate a transition period around 5200 cal BC. The first occupation of the shores of the Banyoles Lake correspond to a classical Cardial Pottery Early Neolithic, and relationships with contemporaneous settlements in Southern France have been argued. La Draga's first occupation constitutes the largest known settlement in the extreme NE of the Iberian Peninsula, and it appears to be more carefully planned in its construction and organization than others in the region. This gives an image of very dispersed small groups during Early Cardial Neolithic, occupying a mostly depopulated area, and concentrating the settlements in rationally selected points that had the best conditions for their initial and still partial farming economy.
Absolute Chronology at the Waterlogged Site of La Draga 941 The transition period of the site after the first occupation would coincide with a decay in the population signal in the Northeastern Iberian Peninsula and elsewhere, related with changing local environmental conditions and a transformation in the way of occupying the territory. In the present case, this transitional period could be associated with occasional occupation and reuse of space and/or abandonment.
One hundred years after the end of the first occupation, around 5100/5090 cal BC, the settlement is reoccupied. Important preparatory work of the ground surface probably to prevent swamping is attested since the earliest moments of this new occupation. Its architecture, however, has not been recovered, but the archaeological materials show cultural relations with most sites around, within the global trend of Full Neolithic population expansion in the Northeastern Iberian Peninsula. Most recent layers are damaged and post-depositionally altered, and therefore not many details are available about possible post-Neolithic occupations. There are very few remains of human population dated after 4800 cal BC at the site, but dispersed archaeological evidence is present in the area of Banyoles lake. Although the period after 4800 cal BC has been explained in terms of depopulation and involution, also related with climatic oscillations, nothing in the archaeological record of La Draga can be used to test such hypothesis.
The combination of radiocarbon dating and dendrochronological analysis with the depositional sequence of the different sectors at La Draga, permitted in high grade to evaluate the chronological framework of the settlement. Additional ordering of the depositional events in a relative temporal scale throughout all the excavated sectors allowed understanding even in a schematic way their time-space correlations. As every site is a living organism, changing through time, in order to decipher its biography, is necessary to take into account not only the depositional processes that have formed it but also the postdepositional effects that have altered its course.