Hostname: page-component-745bb68f8f-b95js Total loading time: 0 Render date: 2025-02-06T09:34:54.679Z Has data issue: false hasContentIssue false

Radiocarbon Evidence for the Pace of the M-/L-PPNB Transition in 8th Millennium BC Southwest Asia

Published online by Cambridge University Press:  07 November 2017

Piotr Jacobsson*
Affiliation:
Council for British Research in the Levant Ringgold Standard Institution – British Institute in Amman, Amman, Jordan; and Scottish Universities Environmental Research Centre Ringgold Standard Institution – Radiocarbon Laboratory, East Kilbride, South Lanarkshire, United Kingdom
*
*Corresponding author. Email: pt.jacobsson@gmail.com.
Rights & Permissions [Opens in a new window]

Abstract

The transition from the Middle to Late Pre-Pottery Neolithic B (PPNB) happened throughout southwest Asia in the mid-8th millennium cal BC. It entailed the abandonment of a number of sites, rapid growth of others, as well as the wide spread of morphologically domestic caprines. What remains an unknown is how rapid these processes were in real time. Over the period when the transition was taking place, the calibration curve has two shallow sections divided by a sudden drop, which for many of the older dates creates an illusion of a sudden cultural break around 7600–7500 cal BC. Yet a more detailed study presented in this paper suggests that the transition event could have been spread over a more extended period of time. This, however, is still far from certain due to risks of old wood effects and complexities of site formation.

Type
Applications
Copyright
© 2017 by the Arizona Board of Regents on behalf of the University of Arizona 

INTRODUCTION

The tempo of cultural transformations is fundamental to understanding their nature and thus identifying factors that caused (pre)history to follow the specific path it took. When rapid changes take place, corresponding major causal factors, such as abrupt climate change (Childe Reference Childe1936; Weninger et al. Reference Weninger, Clare, Rohling, Bar-Yosef, Bohner, Budja, Bundschuh, Feurdean, Gebel, Joris, Linstader, Mayewski, Muhlenbruch, Reingruber, Rollefson, Schyle, Thissen, Todorova and Zielhofer2009), or a socio-political upheaval (Gebel Reference Gebel2004), have to be invoked and explored. Slower rates of change often imply greater continuity (Harding Reference Harding2004) and the study of the transitions in question becomes one of tracing the connections in the processes involved. These are basic considerations, but they show that understanding change in prehistory often requires specific chronological resolution and that in turn leads to specific requirements of 14C chronologies. This paper discusses whether these requirements are fulfilled for the transition from the Middle to Late Pre-Pottery Neolithic B (M- and L-PPNB), which took place in southwest Asia in the 8th millennium BC. The aim is to look beyond the apparent abruptness of the transition, induced by the shape of the calibration curve, and evaluate whether it is possible to derive good temporal estimates for some of its associated processes. The discussion takes place from a radiocarbon (14C) perspective and makes no assertions as to how the transition might appear from the perspective of other markers, such as lithic technologies.

Archaeological Background to the M-/L-PPNB Transition and Effects of the Calibration Curve

The Neolithic of southwest Asia (mid-10th to the 6th millennium cal BC) was a period when a number of earlier practices persisted, such as the wide-ranging exchange networks (Watkins Reference Watkins2008; Richter and Maher Reference Richter and Maher2013), other practices, such as agriculture began (Cauvin Reference Cauvin2000) and others still, such as the formation of large communities, took hold but then collapsed (Akkermans and Schwartz Reference Akkermans and Schwartz2003; Simmons Reference Simmons2007). The overall division of the southwest Asian Neolithic is based on excavations at Tell es-Sultan (Jericho), where, based on material culture and stratigraphy, two Pre-Pottery Neolithic stages (PPN A and B) followed by the Pottery Neolithic A and B were defined (PNA and B) (Kenyon Reference Kenyon1981). The PN chronological labels were since reorganized to reflect increasing regional fragmentation in the seventh millennium BC (Garfinkel Reference Garfinkel1993; Akkermans and Schwartz Reference Akkermans and Schwartz2003), but the bulk of the PPN sequence is still based on the A/B division, with further subdivision of the PPNB into Early, Middle and Late, followed by what is defined either as Final PPNB or the PPNC (Rollefson Reference Rollefson1990; Cauvin and Cauvin Reference Cauvin and Cauvin1993; Kuijt and Goring-Morris Reference Kuijt and Goring-Morris2002). It is most common to think of these broad entities as interaction zones of diverse groups, sharing elements of ideology and material culture (Bar-Yosef and Belfer-Cohen Reference Bar-Yosef and Belfer-Cohen1989; Watkins Reference Watkins2008), but also showing much regional diversity (Asouti Reference Asouti2006).

This paper focuses on the transition from M- to the L-PPNB. The M-PPNB can be characterized, in the broadest of terms, through the consolidation of agricultural practices (Kuijt and Goring-Morris Reference Kuijt and Goring-Morris2002), continued reliance on hunting (Moore et al. Reference Moore, Hillman and Legge2000), evidence for wide-ranging exchange of specific objects, such as shells and beads (Bar-Yosef Mayer and Porat Reference Bar-Yosef Mayer and Porat2008), and elaborate mortuary practices (Kenyon Reference Kenyon1981; Moore et al. Reference Moore, Hillman and Legge2000). While the L-PPNB sees the continuation of many of the earlier trends, changes take place. In the southern Levant, east of the Jordan river, “mega-sites” exceeding 8.5 ha emerge (Rollefson Reference Rollefson1989; Simmons Reference Simmons2007). There also appears to be a disruption of settlement in the southern Levant west of the Jordan (modern-day Israel and Palestine) (Kuijt and Goring-Morris Reference Kuijt and Goring-Morris2002). Although more recent discoveries identified both Middle and Late PPNB activity on sites west of the Jordan (Goring-Morris et al. Reference Goring-Morris, Ashkenazi, Barzilai, Birkenfeld, Eshed, Goren, Kolska Horwitz, Oron and Williams2008; Khalaily et al. Reference Khalaily, Milevski, Getzov, Hershkovitz, Barzilai, Yarosevich, Shlomi, Zidan, Smithline and Liran2008), abandonment of a number of settlements is attested and vertical relationships between structures at continuing sites are often unclear. The one known exception might be Kfar Hahoresh in Galilee, where continuous deposits from M- to L-PPNB were observed. However, both in terms of location and archaeological finds, Kfar Hahoresh is very unusual (Goring-Morris Reference Goring-Morris2005) and as such might not be representative of settlement trends throughout the region in general. Other changes throughout the Levant include shifts in patterns of lithic production exchange (Abbes Reference Abbes2003; Barzilai Reference Barzilai2010), as well as greater reliance on domestic animals for meat (Wasse Reference Wasse2002). The L-PPNB may have also witnessed the emergence of pastoral nomadism (Cauvin Reference Cauvin2000; Makarewicz Reference Makarewicz2013). For a more in-depth elaboration of the PPNB in general, refer to the review by Kuijt and Goring-Morris (Reference Kuijt and Goring-Morris2002).

There is a range of suggested causal factors for the M-/L-PPNB transition. In the southern Levant much of the discussion focuses on the transformation of settlement patterns, with apparent decline of settlement west of the Jordan River and an increase in site footprint to the east. This shift is seen either in terms of increasing population pressures associated with agriculture (Gebel Reference Gebel2004), ecological deterioration driven by overexploiting of local resources (Rollefson and Kohler-Rollefson Reference Rollefson and Kohler-Rollefson1989), or as an effect of the merger of different kin lineages driven by the ideological practices of the M-PPNB (Kuijt Reference Kuijt2000). The emergence of an expansive ideology is also proposed by Cauvin (Reference Cauvin2000), who writing from a more northern Levantine perspective, associated the M-/L-PPNB transformation with the general expansion of the Neolithic.

All of these propositions stress some combination of factors precipitating a more or less sudden set of changes to the archaeological record. From the perspective of the 1980s, when the outlines of the M-/L-PPNB transition emerged, this perception was supported by the 14C record. Pre-dating the 1993 extension of the Holocene calibration series of 14C from German and Irish oaks to 7890 BC (Pearson et al. Reference Pearson, Becker and Qua1993), the majority of discussions had to take place in terms of uncalibrated 14C ages. Given the substantial uncertainties on many of these determinations, the 2-σ measurement uncertainties of the M-PPNB associated 14C samples came to an end around 8500 14C BP, creating an appearance of a watershed event. From the perspective of the 2010s the emergence of this watershed can be traced to 14C calibration. The calibration curve around the time of interest consists of two shallow slopes separated by a sudden break between 7600 and 7500 cal BC. For many of the older measurements the shallow sections of the curve act as effective calibration plateaus with the calibrated date ranges stopping at the break in the calibration curve (Supplementary Figure 1). Hence the chronological variability on either side of 7500 cal BC was hidden and an impression of an abrupt transition emerged in the 14C record. While the interpretation in terms of sudden change might be correct, its 14C basis is an artifact of the 14C calibration curve.

Assessing the Abruptness of the M-/L-PPNB Transition: Methodology

With the development of the calibration curve for the 8th millennium cal BC, the increasing number and precision of 14C determinations, and the ability to construct chronological site models, it becomes possible to overcome the homogenizing effects of the calibration curve on either side of 7500 cal BC. Several earlier studies estimated the dating of the M-/L-PPNB transition using calibrated 14C dates (Benz Reference Benz2013) and even Bayesian modeling (Maher et al. Reference Maher, Banning and Chazan2011). These studies were focused at estimating the date of the transition and not its duration. Their methodology was based on aggregating determinations from a range of sites and using different methods to establish the boundary between cultural phenomena. Hence, even with Bayesian analysis the parameter sought is a point in time and the model outputs cannot be interpreted for rates of change.

An alternative approach is to dissociate the various attributes that we use to define a cultural stage and look at the timing of their occurrence within the study area. In this particular case, this would be the distribution of the cultural attributes of the M-/L-PPNB transition: the more clustered they are in the mid-8th millennium cal BC, the stronger the case for interpreting the cultural shift as an abrupt change. Here the focus is on the timing of site disruption or abandonment, appearance of domesticated caprines and the development of mega-sites in the southern Levant. These categories were selected because they rely on binary observations and therefore avoid the difficulties of attributing more subtle forms of cultural behavior to particular phases.

The underpinning methodology of this study relies on the pre-screening of sites and material, and subsequent modeling of the screened 14C determinations. The pre-screening process identifies sites with sufficient chronological information on the transition, and rejects samples that might be misleading due to technical reasons or poor contextual association. The importance of the latter part of the pre-screening process was demonstrated by a range of studies on chronometric precision (Spriggs Reference Spriggs1989; Fitzpatrick Reference Fitzpatrick2006; Taché and Hart Reference Taché and Hart2013). The importance of selecting suitable sites is manifested by Beidha in Jordan, where both M- and L- PPNB deposits were dated using material from well-defined contexts (Byrd Reference Byrd2005), but the sampling strategy omitted the structures that brackets the transition. Therefore, the first stage of the pre-screening was the identification of sites with a large enough assemblage of 14C determinations and good overall stratigraphic description that would allow placing the samples within the site history. The actual amount of determinations desired varies on a case-by-case basis: five determinations are enough to date a specific feature, but are not enough to build a chronology of a long-lived mega-site.

The next step was the technical assessment of the pretreatment and measurement protocols. Bone determinations were rejected due to known issues of poor collagen preservation (Zazzo and Saliege Reference Zazzo and Saliege2011). Charred plant and charcoal assemblages were screened for the application of the complete AAA or equivalent protocols. Samples that underwent only an acid wash were for the most part rejected; one exception here are two samples from ‘Ain Ghazal (KN-5054 and KN-5056) where the laboratory notes and agreement with stratigraphy provide the basis for the exception. Tracing pretreatment protocols would not be possible without the help from a number of 14C laboratories (see acknowledgments). Technical assessment also included tracing of the error estimation method to ensure that factors other than the counting rates were taken into account, so as to avoid or mitigate error underestimation (Hewson Reference Hewson1980), and that oxalic acid I or II (Waterbolk Reference Waterbolk1960; Stuiver Reference Stuiver1983) were used as the primary standard. What the samples were not screened for was measurement precision. While this is often used as a criterion of chronometric hygiene (Maher et al. Reference Maher, Banning and Chazan2011; Taché and Hart Reference Taché and Hart2013; Flohr et al. Reference Flohr, Fleitmann, Matthews, Matthews and Black2016), low measurement precision itself does not mean that the measurement is inaccurate. If there is sufficient evidence to disregard the low-precision measurements, this will happen through shrinkage of the modeled date ranges once they are incorporated into chronological models; otherwise rejecting determinations on account of low precision courts over-certainty.

The final step was the contextual assessment of samples in terms of whether they represented the primary burning event (e.g. hearths), dumping soon after burning (e.g. discrete ash lenses), or depositions of unknown origin (e.g. isolated charcoal concentrations). In the last case the samples would be treated in models as terminae post quos (TPQs) only, or outright rejected. Note that with varying field methods and approaches to contextual description any contextual screening of 14C determinations is, to an extent, arbitrary. This is a recurrent theme in studies on legacy data, where often application of a stringent contextual screening protocol, of the kind described by Spriggs (Reference Spriggs1989), would leave too few samples to draw any meaningful inferences (Fitzpatrick Reference Fitzpatrick2006). Five sites passed all the relevant stages (Figure 1), though circumstantial evidence from elsewhere is taken into account in the discussion. The small size of the sample is mitigated by the logic of inference used (it is enough to show that some of the aspects attributed to the transition may have happened outside of the 7600–7500 BC watershed) and allows for greater trust in the immediate results. All 14C determinations from the five sites, as well as those considered as circumstantial evidence, can be found in tables in the supplementary material.

Figure 1 Sites mentioned in text. Modified from an original map by “Fulvio 314”, obtained from https://commons.wikimedia.org/wiki/File:Middle_East_topographic_map-blank_3000bc_crop.svg (last accessed 8th October 2016) under a Creative Commons Licence 3.0.

The pre-screening stage was followed by construction of site models concerned with events of interest to the current enquiry. The site models were built in a Bayesian framework outlined by Buck et al. (Reference Buck, Cavanagh and Litton1996) and implemented in OxCal13 calibration Curve (Reimer et al. Reference Reimer, Bard, Bayliss, Beck, Blackwell, Bronk Ramsey, Buck, Cheng, Edwards, Friedrich, Grootes, Guilderson, Haflidason, Hajdas, Hatte, Heaton, Hoffmann, Hogg, Kaiser, Kromer, Manning, Niu, Reimer, Richards, Scott, Southon, Staff, Turney and van der Plicht2013). The construction followed a feature-by-feature approach as much as possible. This approach relies on relating the samples to one another based on direct stratigraphic observations, of the kind reported in a Harris matrix, rather than on synthetic stratigraphic interpretation, such as allocating samples to site “layers” or “phases”. By providing more detailed information the feature-by-feature approach allows for better model precision and can make resolution of conflicts between the data clearer (Bayliss Reference Bayliss2015). Note that in some cases implementing a feature-by-feature approach was not possible due to too limited site publication and overall site phases had to be used instead. Whenever estimating the expected timing of a process (be it a stage of site occupation, or time during which a particular feature was deposited) the empty Date(); parameter was used. In these circumstances this command returns the expected distribution of a random sample from the particular deposition process associated with the 14C measurements of interest. In other words, it tells us the probable dates for samples relating to the given process and thus provides an estimate of the time during which the given process took place. For example, if we are interested in the dating of a specific phase of activity at a site, the empty Date(); parameter nested within the representation of that phase in the model will tell us the probable dates for any potential samples that could be obtained and thus an estimate of where we can put the said phase in time. Empty Date(); parameters are chosen over the more conventional use of the sum of posteriors (e.g. Bayliss et al. Reference Bayliss, Hines, Hoilund Nielsen, McCormac and Scull2013), as the low number of determinations in many cases precluded the complete exclusion of the artifacts of the calibration curve and also resulted in more precise but less reliable estimates. Use of Boundary(); parameters was limited to instances where they were necessary for technical reasons, to isolate different deposition regimes, or where they had to be implemented to prevent excessive shrinkage and hence unwarranted precision. Charcoal outlier models (Bronk Ramsey Reference Bronk Ramsey2009b), were used for any samples other than short-lived materials. The outlines of all the models, the underpinning data and the relevant OxCal scripts (including outlier model specifications) are provided in the supplementary material.

Assessing the Abruptness of the M-/L-PPNB Transition: Results

Overall, the results of the analyses of individual sites and processes suggest that some aspects of the M-/L-PPNB transition might have taken place well before and after the expected dates around 7500 cal BC. The notion of the abandonment of sites at the end of the M-PPNB in southwest Levant originated at Tell es-Sultan. The site was one of the first to be 14C dated in the world and there are 44 determinations from the Neolithic layers (Burleigh Reference Burleigh1981, Reference Burleigh1983), although only 27 passed the technical pre-screening and a number had to have their measurement uncertainties extended. The model based on the information provided in the final report on Tell es-Sultan (Kenyon Reference Kenyon1981) suggests that the end of the PPNB at the site could have been much earlier than 7500 cal BC (Figure 2) with the penultimate phase of the PPNB on the site ending in 8230–7725 cal BC (Jericho PPNB end Boundary; 95.4% probability), with the 68.2% modeled date range lying between 8175 and 7895 cal BC. A case can also be made for discontinuity of settlement in Yiftahel in Galilee. While the settlement produced material culture from both Middle and Late PPNB (Khalaily et al. Reference Khalaily, Milevski, Getzov, Hershkovitz, Barzilai, Yarosevich, Shlomi, Zidan, Smithline and Liran2008; Garfinkel et al. Reference Garfinkel, Dag, Khalaily, Marder, Milevski and Ronen2012), this did not come from superimposed layers, implying that the otherwise vertical replacement of structures might have been disrupted sometime over the course of the M-/L-PPNB transition. PPNB 14C determinations associated with the M-PPNB come from Areas C, E, and I, three of the multiple excavation Areas at the site (Garfinkel et al. Reference Garfinkel, Dag, Khalaily, Marder, Milevski and Ronen2012).

Figure 2 Results of the parameters of interest.

The published 14C determinations from Area I all come from experimental studies on dating lime plaster (Poduska et al. Reference Poduska, Regev, Berna, Mintz, Milevski, Khalaily, Weiner and Boaretto2012). While some of the dates are concurrent with the PPNB, it would be risky to include them in a site chronology until protocols for preparing 14C samples from lime plaster and mortars become more consistent in their reliability (Ringbom et al. Reference Ringbom, Lindroos, Heinemeier and Sonck-Koota2014). The results from Area E come from four different Vicia faba deposits whose relationship to one another is not clear (Garfinkel et al. Reference Garfinkel, Dag, Khalaily, Marder, Milevski and Ronen2012). As such, they provide little information about the dating of their associated structures, beyond the observation that they belong to the M-PPNB. This leaves Area C, where a burnt building, Structure 700, yielded multiple 14C samples that can be used to build a model estimating the date of the conflagration to 8170–8120 cal BC (3.1% probability) or 7980–7660 cal BC (92.3% probability; Structure 700 conflagration), with the 68.2% modeled date range lying in two ranges: 7940–7780 cal BC (62.3%) and 7775–7755 cal BC (5.9%). Given that Structure 700 lay underneath no more than two structural layers of collapsed mud-brick M-PPNB houses and, given the excavators estimation that these houses would have lasted for two to three decades at most, it becomes possible to speculate that the M-PPNB activity in Area C at Yiftahel ceased hundreds of years before the break in the calibration curve around 7500 cal BC. If that is indeed the case, then the results from Yiftahel and Tell es-Sultan might indicate that the disruption to the settlement patterns west of the river Jordan, attributed to the L-PPNB, begun already during the M-PPNB. It might be that early abandonments also took place east of the river Jordan, as suggested by isolated 14C determinations from the later stages of the M-PPNB Shkarat Msaied (Hermansen et al. Reference Hermansen, Thuesen, Hoffmann Jensen, Kinzel, Bille Petersen, Jorkov and Lynnerup2006). However, the number of dates in that last case is too slight to make any definitive statements at the moment.

Another characteristic of the L-PPNB is the appearance of morphologically domestic caprines. While much recent research stresses that caprines would have underwent close management long before the onset of the L-PPNB (Zeder Reference Zeder2008, Reference Zeder2011; Makarewicz and Tuross Reference Makarewicz and Tuross2012), in the Levant caprines come to dominate the zooarchaeological assemblages only with the end of the M-PPNB (Horwitz et al. Reference Horwitz, Tchernov, Ducos, Becker, von den Driesch, Martin and Garrard1999). This is clear at Abu Hureyra (Moore et al. Reference Moore, Hillman and Legge2000), where the shift from a meat economy based on gazelle and other wild species to one based on domesticated caprines is associated with a shift between the two phases of the Neolithic settlement (Phases 2A and 2B). Thanks to the detailed enough publication of contextual information and a sufficient number of 14C determinations, it was possible to build a reliable model for this transition event, indicating that it took place in 7465–7175 cal BC (AbuH 2A-B Transition; 95.4% probability), with the 68.2% modeled date range lying between 7410 and 7250 cal BC. However, there are sites in southern Levant where substantial number of caprines could have made an earlier appearance, as seen in the broad ranges for the final stage of activity at Ayn Abu Nukhayla (Henry and Beaver Reference Henry and Beaver2014) (Ayn Abu N Phase 3: 7705–7065 cal BC at 95.4% probability and 7610–7420 cal BC at 68.2% probability). Even earlier occurrence of a large number of caprines displaying a domesticated-like culling pattern takes place at Ghuwayr I (Simmons and Najjar Reference Simmons and Najjar2006), where the final stages of the 14C dated belong to the interval 7740-7430 cal BC (Area I Phase III; 95.4% probability) (see supplementary information), but insufficient stratigraphic and contextual information means that any modeled results from this site might yet be shown to be inaccurate. In any case, the 14C record indicates that the shift from hunting a range of species to herding caprines could have taken place in different areas in times separated by centuries.

The dating of the growth of Neolithic mega-sites can be discussed with reference to the extensive 14C series from the broad exposures at ‘Ain Ghazal in modern day Amman (Rollefson Reference Rollefson1998; Rollefson and Kafafi Reference Rollefson and Kafafi1996; Rollefson and Simmons 1986; Zielhofer et al. Reference Zielhofer, Clare, Rollefson, Wachter, Hoffmeister, Bareth, Roettig, Bullmann, Schneider, Berke and Weninger2012). The site was excavated in four main areas (“Fields”): Central, South, North, and East. Within the Central Field a cut through the site, created in the course of road construction, gave the excavators direct access to several meters of M-PPNB deposits, with multiple hearths and in-door ash lenses providing a basis for placing the end of that stage of activity at ‘Ain Ghazal at 7800–7145 cal BC (Ain Ghazal 14C M-PPNB end Sigma_Boundary; 95.4% probability), with the 68.2% modeled date range lying between 7670 and 7300 cal BC. At the same time in the North Field there are L-PPNB structures made use of the abandoned M-PPNB buildings, in one case utilizing an M-PPNB room as a courtyard (Rollefson and Kafafi Reference Rollefson and Kafafi1996). The date for one of those buildings, Shrine I, is 7430—6820 cal BC (early shrine I activity; 95.4% probability), with the 68.2% modeled date range lying between 7210 and 6930 cal BC, making it later than the expected onset of the L-PPNB. It is therefore plausible that at least some of the M-PPNB buildings in the North Field could have been abandoned for some time before their inclusion into the L-PPNB built environment. If this was the case, some of the expansion of ‘Ain Ghazal would have happened several centuries after the expected onset of the mega-site phenomenon around 7500 cal BC. In this context it is very interesting to note that the most recent estimation for the onset of the L-PPNB at the distant Çatalhöyük indicates a similar, late 8th millennium onset of what may have been a settlement of a comparable footprint (Bayliss et al. Reference Bayliss, Brock, Farid, Hodder, Southon and Taylor2015).

Taken together, these case studies do not support the notion of a rapid M-/L-PPNB transition around 7500 cal BC. The estimates for the abandonment events associated with the event are earlier than the 7600–7500 cal BC expectation, the development of the mega-site at ‘Ain Ghazal might have taken place towards the end of the millennium, while the transition to a meat economy based on domestic caprines could have taken place over multiple centuries.

Assessing the Abruptness of the M-/L-PPNB Transition: Critique

Modeling of the legacy dates from sites bearing witness to different aspects of the M-/L-PPNB transition suggests that the change might have been far more gradual than calibrated 14C date ranges alone would suggest. However, results of Bayesian models only provide the values of the parameters given the data (Hoff Reference Hoff2009) and so, if the data are somehow flawed, or the relation of the parameters to the data is different from that assumed by the analyst, the results themselves might be flawed. Therefore, further scrutiny of the data and the parameters is always necessary. In case of the current study this takes the form of concerns about old wood effects and site formation.

With the exception of Yiftahel, the models discussed above rely to a large extent on charcoal samples that may be subject to an old wood effect. This risk was mitigated using OxCal’s charcoal outlier model capacity (Bronk Ramsey Reference Bronk Ramsey2009b), which evaluates the typical offset between the actual dates of the samples that might be old wood and their expected values given stratigraphy and dates of short-lived material. The outlier model requires some kind of prior probability distribution (often referred to as a “prior”). If the detail of stratigraphic information is sufficient and backed by enough determinations, this prior will be overcome to provide a reliable posterior probability distribution. Otherwise the model results reflect only the prior specification and hence the accuracy of the model results depends to a large extent on our beliefs about the plausible magnitude of old wood effects. The simplest way of checking whether this is the case is to rerun the models using extreme prior probabilities and check if they conflict with the data. In case of Abu Hureyra and ‘Ain Ghazal this was the case and hence the old wood effect estimates are dominated by the empirical evidence. However, at Tell es-Sultan and Ayn Abu Nukhayla any prior would fit well with the data and hence the reliability of the priors used had to be considered. This could be achieved by either considering the tree species in the charcoal assemblage, which dictates the maximum extent of the old wood effects, or through comparison to studies which defined old wood effects by pairing short-lived samples with possible old wood specimens. Of the sites discussed herein, one such study was conducted for a Bronze Age layer from Tell es-Sultan (Bruins and van der Plicht Reference Bruins and van der Plicht1995), revealing only marginal offsets and is indistinguishable from the one derived for the Neolithic Tell es-Sultan through the use of the default model specification (χ2= 1.503; 5% critical value at 2 d.f.=3.841). The situation at Ayn Abu Nukhayla is different, as a substantial amount of the charcoal assemblage consists of juniper (Henry and Beaver Reference Henry and Beaver2014), which has been associated with millennial offsets towards older dates (Wicks et al. Reference Wicks, Finlayson, Maricevic, Smith, Jenkins and Mithen2016). Therefore, the specification of the outlier model at Ayn Abu Nukhayla was modified to allow both for the greater possibility of substantial old wood effects and for a greater maximum age (Outlier_Model(“Charcoal”, Exp(25, −10, 0), U(0, 3.5), “t”). It is this outlier model specification that is responsible for the very long tails on the estimates from the site. Note that the actual model result suggests a much smaller scale of the offsets (see above), which can be attributed to the determinations clustering around 8500 14C BP break in the calibration curve. Overall, both in the case of Tell es-Sultan and Ayn Abu Nukhayla there are reasons to trust the old wood estimates provided. Having said that they are rooted in analogies to either different periods or different archaeological sites.

The next thing to consider is what features of the site are dated and what their relationship to the questions asked is. In case of Abu Hureyra, Tell es-Sultan and, to a lesser extent Ayn Abu Nukhayla these are clear, but conceptual challenges emerge at Yiftahel and ‘Ain Ghazal. At Yiftahel the modeled 14C determinations provide the means of estimating the end of activity only in Area C. Nevertheless, Area C is only a fraction of the total extent of archaeological remains and so it is conceivable that M-PPNB could have persisted elsewhere on the location. Indeed, evidence from Area E of Yiftahel might support this possibility. Excavated as part of a rescue project in the early 2000s, Area E yielded four 14C determinations. Two of these determinations, RT-2971 and RT-2972 calibrate to several intervals in the range 7940–7585 cal BC and 7745–7590 cal BC (95.4% probability). This means that Yiftahel could have witnessed continued activity after the abandonment of Area C and that this activity could have persisted without disruption into the L-PPNB.

Extrapolating from excavated to unexcavated areas also affects ‘Ain Ghazal, although the impact on the inferential process is different. As discussed in the previous section there are buildings in the North Field of ‘Ain Ghazal that make use of earlier M-PPNB structures, but placed by the 14C model several centuries after the expected onset of the L-PPNB, welcoming the possibility that the mega-sites emerged only towards the end of the latter phase. This perspective, however, does not take into account the nature of the processes responsible for the emergence of the large site footprint. Had these processes been ones of rapid expansion, the 14C dates from the site would indeed mark the onset of the mega-site phenomenon at ‘Ain Ghazal. Nevertheless, alternative interpretations are plausible, from a more steady, or perhaps punctuated expansion of the site, to the extreme possibility that large footprint is a result of a palimpsest of occupations (Richter and Maher Reference Richter and Maher2013). If any of the scenarios on this spectrum are correct, than the actual onset of the mega-site phenomenon would have taken place when the processes responsible for the increased footprint begun and not when the archaeological site reached its full extent. In this context it is interesting to note that two of the 14C determinations from the South Field of the site (GrN-12971 and GrN-14259), which have been attributed to the L-PPNB by the excavator (Rollefson Reference Rollefson1998), might be older than the modeled onset of that activity phase (Figure 3). If this is indeed the case, than the expansion of the site would have begun earlier than the 14C determinations from the North and East Fields of the site would suggest. However, until the site is better understood these discussions remain speculative.

Figure 3 The estimates for the end of the M-PPNB activity, the onset of the L-PPNB activity and posterior distributions of the determinations GrN-12971 and GrN-14259 from ‘Ain Ghazal.

Having to rely on prior estimates of old wood effects and difficulties in relating the collections of features dated to the parameters of interest means that the picture of the gradual transition developed in the previous section could be inaccurate. With the possibility that the old wood effects at Tell es-Sultan were underestimated and that the current 14C data might be insufficient to trace the events of interest at Yiftahel and ‘Ain Ghazal, a valid argument can still be made for the M-/L-PPNB transition taking place in one or two centuries around 7500 cal BC, if supported by other strands of evidence. This in turn illustrates the broader problem of drawing complex chronological inferences from sites that are likewise complex, but excavated and understood only in part, while being limited to working with only a small sub-sample of charred plant assemblage due to contextual ambiguities and difficulties in dating other forms of archaeological material.

CONCLUSION

This paper discussed the timing of a transition within the Neolithic of southwest Asia. While the temporal aspect of the prevalent interpretations can be traced to an artifact of the calibration curve, a detailed site-by-site study fails to either confirm or refute the notion of a rapid M-/L-PPNB transition. At the few sites with sufficient reliable radiocarbon determinations, the evidence taken at face value would suggest an extended transition period, which would perhaps require a new set of interpretations as to what might have happened. Having said that, considerations of old wood effects and site formation processes mean that the 14C evidence for the “slow transition” remains weak.

Some of the technical and empirical issues can be resolved with relative ease. Ongoing work on single amino-acid and mortar dating (McCullagh et al. Reference McCullagh, Marom and Hedges2010; Poduska et al. Reference Poduska, Regev, Berna, Mintz, Milevski, Khalaily, Weiner and Boaretto2012) may help to overcome the challenges induced by necessary reliance on charred plant remains. Improved field sampling techniques (e.g. Asscher et al. Reference Asscher, Lehmann, Rosen, Weiner and Boaretto2015), could extend the range of reliable contexts and hence provide the basis for more reliable dating at a larger range of site. These technical developments can also be supplemented by the development of secondary dating programs of archival material. Such programs have been implemented in the past in the study of the Neolithic and the Iron Age in the United Kingdom (Whittle et al. Reference Whittle, Healy and Bayliss2011; Hamilton et al. Reference Hamilton, Haselgrove and Gosden2015), where combining limited legacy evidence with new determinations made a substantial contribution to the understanding of past cultural developments at a low cost. Many of the sites excluded from the current study have some dating evidence that could be used in a similar fashion.

Technical improvements and increase in sheer quantity of data are essential to the resolution of the chronology of the M-/L-PPNB transition, but they might need to be accompanied by conceptual developments when selecting the modeled parameters. As demonstrated in the Yiftahel and ‘Ain Ghazal case studies, this is not always straightforward, as the excavated and dated portion of the site might not contain the strata witnessing the parameters of interest, or might be too limited to extrapolate on issues such as onset and termination of human activity. Some of this is a matter of field archaeology and can only be resolved by persistent, long-term excavation projects. In the meantime, conceptual awareness and paying strictest attention not only to the immediate context of the samples, but also the broader picture of the site is paramount. One promising direction of work are improvements in the dating of sites where the M-/L-PPNB transition is identified in the stratigraphy. Attempts to date features containing traces of diagnostic practices can also prove valuable. While such care at choosing the modeling parameters might in the short run limit our inferential ability, over the longer term it will contribute to a more focused application of the limited resources and a more conscious and hence more robust chronological understanding of the transition.

ACKNOWLEDGMENTS

I would like to thank the Council for British Research in the Levant for the visiting fellowship that allowed me to pursue this research full time over the course of the academic year 2015–2016; the staff of the radiocarbon laboratories at Lyon, Koln, the Arizona AMS facility, the Weizmann Institute, Illinois State Geological Survey, Beta Analytic, UC Riverside, and Oxford for the information necessary for the technical screening of the dates; Gary Rollefson for contextual information on some of the ‘Ain Ghazal samples, as well as comments on a manuscript of this paper. Last, I would like to thank SUERC for supporting my attendance at the 8th 14C and Archaeology Symposium in Edinburgh.

Supplementary material

To view supplementary material for this article, please visit https://doi.org/10.1017/RDC.2017.110

Footnotes

Selected Papers from the 8th Radiocarbon & Archaeology Symposium, Edinburgh, UK, 27 June–1 July 2016

References

REFERENCES

Abbes, F. 2003. Les outillages neolithiques en Syrie du Nord: Methode de debitage et gestation laminaire durant le PPNB. Oxford: Archaeopress.Google Scholar
Akkermans, PMMG, Schwartz, GM. 2003. The archaeology of Syria: from complex hunter-gatherers to early urban societies (c. 16,000–300 BC). Cambridge: Cambridge University Press.Google Scholar
Asouti, E. 2006. Beyond the Pre-Pottery Neolithic B interaction sphere. Journal of World Prehistory 20:87126.Google Scholar
Asscher, Y, Lehmann, G, Rosen, SA, Weiner, S, Boaretto, E. 2015. Absolute Dating of the Late Bronze to Iron Age Transition and the Appearance of Philistine Culture in Qubur el-Walaydah, Southern Levant. Radiocarbon 57(1):7797.Google Scholar
Bar-Yosef Mayer, D, Porat, N. 2008. Green stone beads at the dawn of agriculture. Proceedings of the National Academy of Science of the United States of America 105(25):85488551.Google Scholar
Bar-Yosef, O, Belfer-Cohen, A. 1989. The Levantine “PPNB” Interaction Sphere. In: Hershkovitz, I, editor. People and Culture in Change: Proceedings of the Second Symposium on Upper Palaeolithic, Mesolithic and Neolithic Populations of Europe and the Mediterranean Basin. Oxford: British Archaeological Reports. p 59–72.Google Scholar
Barzilai, O. 2010. Social Complexity in the Southern Levantine PPNB as Reflected through Lithic Studies. The Bidirectional Blade Industries. Oxford: Archaeopress.Google Scholar
Bayliss, A. 2015. Quality in Bayesian chronological models in archaeology. World Archaeology 47(4):677700.Google Scholar
Bayliss, A, Hines, J, Hoilund Nielsen, K, McCormac, G, Scull, C. 2013. Anglo-Saxon Graves and Grave Goods of the 6th and 7th Centuries AD: A Chronological Framework. London: The Society for Medieval Archaeology.Google Scholar
Bayliss, A, Brock, F, Farid, S, Hodder, I, Southon, J, Taylor, RE. 2015. Getting to the bottom of it all: a Bayesian approach to dating the start of Catalhoyuk. Journal of World Prehistory 28(1):126.Google Scholar
Benz, M. 2013. PPND – the platform for Neolithic radiocarbon dates. http://www.exoriente.org/associated_projects/ppnd.php (last accessed 29.08.2017).Google Scholar
Bronk Ramsey, C. 2009a. Bayesian analysis of radiocarbon dates. Radiocarbon 51(1):337360.Google Scholar
Bronk Ramsey, C. 2009b. Dealing with outliers and offsets in radiocarbon dating. Radiocarbon 51(3):10231045.Google Scholar
Bruins, HJ, van der Plicht, J. 1995. Tell es-Sultan (Jericho): radiocarbon results of short-lived cereal and multiyear charcoal samples from the end of the Middle Bronze Age. Radiocarbon 37(2):213220.Google Scholar
Buck, CE, Cavanagh, WG, Litton, CD. 1996. Bayesian Approach to Interpreting Archaeological Data. Chichester: John Wiley & Sons.Google Scholar
Burleigh, R. 1981. Radiocarbon dates. In: Kenyon KM, editor. Excavations at Jericho. Volume 3. London: British School of Archaeology in Jerusalem. p. 501504.Google Scholar
Burleigh, R. 1983. Additional radiocarbon dates for Jericho. In: Kenyon KM, Holland TA, editors. Excavations at Jericho. Volume 5. London: British School of Archaeology in Jerusalem. p. 760765.Google Scholar
Byrd, BF. 2005. Early Village Life at Beidha, Jordan: Neolithic Spatial Organization and Vernacular Architecture. The Excavations of Mrs Diana Kirkbride-Helbaek. Oxford: Council for British Research in the Levant.Google Scholar
Cauvin, J. 2000. The Birth of the Gods and the Origins of Agriculture. Cambridge: Cambridge University Press.Google Scholar
Cauvin, J, Cauvin, M-C. 1993. La sequence neolithique PPNB au Levant Nord. Paleorient 19(1):2328.Google Scholar
Childe, VG. 1936. Man Makes Himself. London: Watts & Co.Google Scholar
Fitzpatrick, SM. 2006. A critical approach to 14C dating in the Caribbean: using chronometric hygiene to evaluate chronological control and prehistoric settlement. Latin American Antiquity 17(4):389418.Google Scholar
Flohr, P, Fleitmann, D, Matthews, R, Matthews, W, Black, S. 2016. Evidence of resilience to past climate change in Southwest Asia: early farming communities and the 9.2 and 8.2 ka events. Quaternary Science Reviews 136:2339.CrossRefGoogle Scholar
Garfinkel, Y. 1993. The Yarmukian culture in Israel. Paleorient 19(1):115134.Google Scholar
Garfinkel, Y, Dag, D, Khalaily, H, Marder, O, Milevski, II, Ronen, A. 2012. The Pre-Pottery Neolithic B Village of Yiftahel. The 1980s and 1990s Excavations. Berlin: ex Oriente.Google Scholar
Gebel, HGK. 2004. Central to what? The centrality issue of the LPPNB mega-site phenomenon in Jordan. In: Bienert H-D, Gebel HGK, Neef R, editors. Central Settlements in Neolithic Jordan. Proceedings of a Symposium held in Wadi Musa, Jordan, 21st–25th of July, 1997. Berlin: ex Oriente. p 119.Google Scholar
Goring-Morris, AN. 2005. Life, death and the emergence of differential status in the Near Eastern Neolithic: evidence from Kfar HaHoresh, Lower Galilee. In: Clarke J, editor. Archaeological Perspectives on the Transmission and Transformation of Culture in the Eastern Mediterranean. Oxford: Oxbow Books. p. 89105.Google Scholar
Goring-Morris, AN, Ashkenazi, H, Barzilai, O, Birkenfeld, M, Eshed, V, Goren, Y, Kolska Horwitz, L, Oron, M, Williams, J. 2008. The 2007–8 excavation seasons at Pre-Pottery Neolithic B Kfar Ha Horesh, Israel. Aintiquity 82 (Project Gallery).Google Scholar
Hamilton, D, Haselgrove, C, Gosden, C. 2015. The impact of Bayesian chronologies on the British Iron Age. World Archaeology 47(4):642660.CrossRefGoogle Scholar
Harding, DW. 2004. The Iron Age in Northern Britain: Celts and Romans, Natives and Invaders. London: Routledge.Google Scholar
Henry, DO, Beaver, JE. 2014. The Sands of Time. The Desert Neolithic Settlement at Ayn Abu Nukhayla. Berlin: ex Oriente.Google Scholar
Hermansen, BD, Thuesen, I, Hoffmann Jensen, C, Kinzel, M, Bille Petersen, M, Jorkov, ML, Lynnerup, N. 2006. Shkarat Msaied: the 2005 season of excavation. Neo-Lithics 1/06:37.Google Scholar
Hewson, AD. 1980. Interpretation and exploitation of an interlaboratory comparison of radiocarbon measurements. Revue d’Archeometrie 4:5972.Google Scholar
Hoff, PD. 2009. A First Course in Bayesian Statistical Methods. New York: Springer.CrossRefGoogle Scholar
Horwitz, LK, Tchernov, E, Ducos, P, Becker, C, von den Driesch, A, Martin, L, Garrard, A. 1999. Animal domestication in the Southern Levant. Paléorient 25(2):6380.Google Scholar
Kenyon, KM. 1981. Excavations at Jericho. Volume 3. London: British School of Archaeology in Jerusalem.Google Scholar
Khalaily, H, Milevski, I, Getzov, N, Hershkovitz, I, Barzilai, O, Yarosevich, A, Shlomi, V, Zidan, O, Smithline, H, Liran, R. 2008. Recent excavations at the Neolithic site of Yiftahel (Khalet Khalladyiah), Lower Galilee. Neo-Lithics 2/08:311.Google Scholar
Kuijt, I. 2000. People and space in early agricultural villages: exploring daily lives, community siza and architecture in the Late Pre-Pottery Neolithic. Journal of Anthropological Archaeology 19:75102.Google Scholar
Kuijt, I, Goring-Morris, N. 2002. Foraging, farming, and social complexity in the Pre-Pottery Neolithic of the Southern Levant: a review and synthesis. Journal of World Prehistory 16(4):361440.Google Scholar
McCullagh, JSO, Marom, A, Hedges, REM. 2010. Radiocarbon dating of individual amino acids from archaeological bone collagen. Radiocarbon 52(2–3):620634.Google Scholar
Maher, LA, Banning, EB, Chazan, M. 2011. Oasis or mirage? Assessing the role of abrupt climate change in the prehistory of the Southern Levant. Cambridge Archaeological Journal 21(1):130.Google Scholar
Makarewicz, CA. 2013. A pastoralist manifesto: breaking stereotypes and re-conceptualizing pastoralism in the Near Eastern Neolithic. Levant 45(2):159174.Google Scholar
Makarewicz, CA, Tuross, N. 2012. Finding fodder and tracking transhumance: isotopic detection of goat domestication processes and the Near East. Current Anthropology 53(4):495505.Google Scholar
Moore, AMT, Hillman, GC, Legge, AJ. 2000. Village on the Euphrates: From Foraging to Farming at Abu Hureyra. London: Oxford University Press.Google Scholar
Pearson, GW, Becker, B, Qua, F. 1993. High-precision 14C measurement of German and Irish oaks to show the natural 14C variations from 7890 to 5000 BC. Radiocarbon 35(1):93104.Google Scholar
Poduska, KM, Regev, L, Berna, F, Mintz, E, Milevski, L, Khalaily, H, Weiner, S, Boaretto, E. 2012. Plaster characterization at the PPNB site of Yiftahel (Israel) including the use of 14C: implications for plaster production, preservation, and dating. Radiocarbon 54(3–4):887896.Google Scholar
Reimer, PJ, Bard, E, Bayliss, A, Beck, JW, Blackwell, PG, Bronk Ramsey, C, Buck, CE, Cheng, H, Edwards, RL, Friedrich, M, Grootes, PM, Guilderson, TP, Haflidason, H, Hajdas, I, Hatte, C, Heaton, TJ, Hoffmann, DL, Hogg, AG, Kaiser, KF, Kromer, B, Manning, SW, Niu, M, Reimer, RW, Richards, DA, Scott, EM, Southon, JR, Staff, RA, Turney, C SM, van der Plicht, J. 2013. IntCal13 and Marine13 radiocarbon age calibration curves 0–50,000 years cal BP. Radiocarbon 55(4):18691887.Google Scholar
Richter, T, Maher, LA. 2013. Terminology, process and change: reflections on the Epipalaeolithic of Southwest Asia. Levant 45(2):121132.Google Scholar
Ringbom, Å, Lindroos, A, Heinemeier, J, Sonck-Koota, P. 2014. 19 years of mortar dating: learning from experience. Radiocarbon 56(2):619635.Google Scholar
Rollefson, GO. 1989. The Aceramic Neolithic of the Southern Levant: The View from ‘Ain Ghazal. Paleorient 15(1):135140.Google Scholar
Rollefson, GO. 1990. Neolithic chipped stone technology at ’Ain Ghazal, Jordan: the status of the PPNC phase. Paleorient 16(1):119124.Google Scholar
Rollefson, GO. 1998. Expanded radiocarbon chronology from ’Ain Ghazal. Neo-Lithics (2/98):810.Google Scholar
Rollefson, GO, Kafafi, Z. 1996. The 1995 season at ’Ayn Ghazal: preliminary report. Annual of the Department of Antiquities of Jordan 40:1128.Google Scholar
Rollefson, GO, Kohler-Rollefson, I. 1989. The collapse of Early Neolithic settlements in the Southern Levant. In: Hershkovitz I, editor. People and Culture in Change: Proceedings of the Second Symposium on Upper Palaeolithic, Mesolithic and Neolithic Populations of Europe and the Mediterranean Basin. Oxford: British Archaeological Reports. p 73–90.Google Scholar
Simmons, AH. 2007. The Neolithic Revolution in the Near East: Transforming the Human Landscape. Tucson: University of Arizona Press.Google Scholar
Simmons, AH, Najjar, M. 2006. Ghwair I: a small, complex Neolithic community in Southern Jordan. Journal of Field Archaeology 31:7795.Google Scholar
Spriggs, M. 1989. The dating of the Island Southeast Asian Neolithic: an attempt at chronometric hygiene and linguistic correlation. Antiquity 63:587613.Google Scholar
Stuiver, M. 1983. International agreements and the use of the new oxalic acid standard. Radiocarbon 25(2):793795.Google Scholar
Taché, K, Hart, JP. 2013. Chronometric hygiene of radiocarbon databases for early durable cooking vessel technologies in northeastern North America. American Antiquity 78(2):359372.Google Scholar
Wasse, A. 2002. Final results of an analysis of the sheep and goat bones from Ain Ghazal, Jordan. Levant 34(1):5982.Google Scholar
Waterbolk, HT. 1960. The 1959 Carbon-14 Symposium at Groningen. Antiquity 34(133):1418.Google Scholar
Watkins, T. 2008. Supra-regional networks in the Neolithic of Southwest Asia. Journal of World Prehistory 21:139171.Google Scholar
Weninger, B, Clare, L, Rohling, EJ, Bar-Yosef, O, Bohner, U, Budja, M, Bundschuh, M, Feurdean, A, Gebel, H-G, Joris, O, Linstader, J, Mayewski, P, Muhlenbruch, T, Reingruber, A, Rollefson, G, Schyle, D, Thissen, L, Todorova, H, Zielhofer, C. 2009. The impact of rapid climate change on prehistoric societies during the Holocene in the Eastern Mediterranean. Documenta Praehistorica 36:759.Google Scholar
Whittle, AWR, Healy, FMA, Bayliss, A. 2011. Gathering Time: Dating the Early Neolithic Enclosures of Southern Britain and Ireland. Oxford: Oxbow Books.CrossRefGoogle Scholar
Wicks, K, Finlayson, B, Maricevic, D, Smith, S, Jenkins, E, Mithen, S. 2016. Dating WF-16: exploring the chronology of a Pre-Pottery Neolithic A settlement in the Southern Levant. Proceedings of the Prehistoric Society 82:151.Google Scholar
Zazzo, A, Saliege, J-F. 2011. Radiocarbon dating of biological apatites: a review. Palaeogeography, Palaeoclimatology, Palaeoecology 310:5261.Google Scholar
Zeder, MA. 2008. Domestication and early agriculture in the Mediterranean Basin: origins, diffusion, and impact. Proceedings of the National Academy of Sciences of the United States of America 105(33):1159711604.Google Scholar
Zeder, MA. 2011. The origins of agriculture in the Near East. Current Anthropology 52(S4):S221S235.Google Scholar
Zielhofer, C, Clare, L, Rollefson, G, Wachter, S, Hoffmeister, D, Bareth, G, Roettig, C, Bullmann, H, Schneider, B, Berke, H, Weninger, B. 2012. The decline of the early Neolithic population center of ’Ain Ghazal and corresponding earth-surface process, Jordan Rift Valley. Quaternary Research 78:427441.Google Scholar
Figure 0

Figure 1 Sites mentioned in text. Modified from an original map by “Fulvio 314”, obtained from https://commons.wikimedia.org/wiki/File:Middle_East_topographic_map-blank_3000bc_crop.svg (last accessed 8th October 2016) under a Creative Commons Licence 3.0.

Figure 1

Figure 2 Results of the parameters of interest.

Figure 2

Figure 3 The estimates for the end of the M-PPNB activity, the onset of the L-PPNB activity and posterior distributions of the determinations GrN-12971 and GrN-14259 from ‘Ain Ghazal.

Supplementary material: File

Jacobsson supplementary material

Jacobsson supplementary material 1

Download Jacobsson supplementary material(File)
File 12.4 KB
Supplementary material: File

Jacobsson supplementary material

Jacobsson supplementary material 2

Download Jacobsson supplementary material(File)
File 13.9 KB
Supplementary material: File

Jacobsson supplementary material

Jacobsson supplementary material 3

Download Jacobsson supplementary material(File)
File 41.8 KB