Modeling the post-ad 79 Deposits of Somma-Vesuvius to Reconstruct the pre-ad 79 Topography of the Sarno River Plain (Italy)

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of Somma-Vesuvius to Reconstruct the pre-ad 79 Topography of the Sarno River Plain (Italy) Sebastian Vogel German Archaeological Institute, Germany. sv@dainst.de Michael Märker University of Tübingen, Germany and University of Florence, Italy. michael.maerker@geographie.uni-tuebingen.de Florian Seiler German Archaeological Institute, Germany. fs@dainst.de Abstract: During the Plinian eruption of Somma-Vesuvius in AD 79 almost the entire Sarno River Plain (Campania, Italy) was more or less instantly covered by thick volcanic deposits. This contributed to a good preservation of the palaeo-surface and the palaeo-environmental conditions before AD 79. Since the AD 79 volcanic deposits can be clearly distinguished from other stratigraphic layers they can be considered as a chronostratigraphic marker for identifying the pre-ad 79 palaeo-surface in the Sarno River Plain. The objective of this geoarchaeological study was to reconstruct the pre-ad 79 topography and selected palaeoenvironmental features of the Sarno River Plain by modelling the thickness of the post-ad 79 deposits. Thus a methodology was developed that is based on an extensive dataset of stratigraphic information, a highresolution present-day digital elevation model (DEM) and a classification and regression tree approach. Key Words: Paleo-Landscape Reconstruction, Classification and Regression Trees, Predictive Modelling, Sarno River Plain, Pompeii Introduction The eruption of Somma-Vesuvius AD 79 is one of the most well known explosive volcanic eruptions in antiquity, above all thanks to the detailed written records of Pliny the Younger. This eruption can be considered a caesura in the existence of an entire landscape since the entire Sarno River Plain besides Pompeii and Herculaneum was buried by pumice fallout and pyroclastic surge deposits. These deposits reached a total thickness of approximately 3.4m (mean and median, determined from 1,236 stratigraphic drillings) ranging from 0.4m to 7.8m (95% confidence interval). Since the deposits of AD 79 are laterally extensive and show a characteristic stratigraphy they can be considered as a chronostratigraphic marker for the identification of the Roman surface before AD 79. Consequently, today, almost 2000 years after, it is still possible to study the Roman surface by means of stratigraphic investigations, which allows us to reconstruct the pre-ad 79 topographic conditions. Furthermore, the character of the Roman stratum provides information about important palaeo-environmental landscape features of the Sarno River Plain before AD 79. The objective of this project is to generate a high-resolution digital elevation model (DEM) of the Sarno River Plain and reconstruct some palaeo-environmental conditions before the 348

Sebastian Vogel, Michael Märker and Florian Seiler eruption of Somma-Vesuvius AD 79. This pre-ad 79 DEM will be the basis for further geoarchaeological research in this area aiming at comprehensively studying the relationship between ancient people and their environment in the hinterland of Pompeii. Methodology The methodology applied to reconstruct the pre- AD 79 topography and palaeo-environmental conditions of the Sarno River Plain was described in depth by Vogel and Märker (2010). It is based on an extensive dataset of stratigraphic information, a high-resolution present-day digital elevation model and a classification and regression trees (CARTs) approach. At first we collected a total of 1,840 core drillings from construction works as well as from past archaeological and geological studies to gain a representative network of stratigraphic information of the entire Sarno River Plain. The drillings were localized and digitized using geographic information systems (GIS). Then the stratigraphy was determined from the drilling documentations to identify the volcanic deposits of AD 79, the Roman surface underneath and to characterize the Roman stratum. From figure 1 it can be seen that the stratigraphic drillings are well distributed over the entire Plain. Nevertheless, there are areas Figure 1. Digital elevation model (DEM) of the Sarno River plain with the location of the stratigraphical drillings and sites of interest (for full colour image please see the online version of this paper).. showing a high density of stratigraphic data such as Pompeii, Nocera and Longola-Poggiomarino whereas in other areas stratigraphic data are rather scarce. Consequently, to reconstruct the Roman topography we could not simply interpolate between the drilling points since it would result in a very inhomogeneous spatial resolution and a lot of no-data areas. Hence we applied a geostatistical methodology, based on classification and regression trees, that combines stratigraphic information from the core drillings with present day topographical data. That means that we utilized the presentday topography to draw conclusions on the ancient topography. This is based on the following hypotheses: 1. Past and present-day geomorphic processes are related to terrain characteristics that can be described by topographic indices (elevation, slope, curvature etc.). 2. Thus deposition, erosion and transport processes during the eruption of Somma- Vesuvius in AD 79 were controlled by the pre- AD 79 topography. Since the present-day topography is the results of the geomorphic process dynamic that was controlled by the pre-ad 79 topography, the present-day topography reflects the ancient topography. Consequently, this topographic memory can be used to reconstruct the ancient conditions. A hydrologically correct presentday digital elevation model of the Sarno River Plain was generated using the Hutchinson algorithm implemented in ArcGIS (Hutchinson 1988; 1989). Afterwards 15 primary and secondary topographic indices were delineated using SAGA GIS. For modelling, the software TreeNet by Salford Systems was applied which is based on the classification and regression tree algorithm. It is used for exploratory data analysis and predictive modelling to discover features and understand structural patterns 349

CAA2011 - Revive the Past: Proceedings of the 39th Conference in Computer Applications and Quantitative Methods in Archaeology, Beijing, China, 12-16 April 2011 in large databases. This is done by describing the correlation between a response variable of an incomplete dataset and predictor variables covering the entire study area (Breiman et al. 1984; Myles et al. 2004). As predictor variables we used the present-day DEM and the 15 topographic indices. The response variable which we want to predict is the depth from the present-day surface to the Roman surface (thickness of post-ad 79 deposits) which was taken from the drilling data. TreeNet analyses the correlation between these predictor variables and the response variable for each of the 1,840 drillings and eventually generates a model taking into account the combination of predictor variables having the highest correlation to explain the response variable, i.e. the depth to the Roman surface. Finally, the response variable will be regionalized for the entire Sarno River Plain by means of the predictor variables. Results and Discussion The CARTs model achieved a minimum mean absolute error at 2,094 grown trees. It was 0.98m for the training dataset and 1.68m for the test dataset (Vogel et al. 2011). Figure 2 shows the modelled depth to the pre-ad 79 Roman surface (thickness of post-ad 79 deposits) of the Sarno River Plain. From the importance of the predictor variables in the model generation (Table 1) it can be seen that the spatial distribution of volcanic deposits since AD 79 is most notably controlled by the absolute elevation. Of secondary importance are the aspect and hydrological variables. Consequently, the thickness of post-ad 79 deposits is governed by two contrasting sets of processes: 1) the initial deposition of volcanic deposits during the eruption of Somma- Vesuvius, and 2) the subsequent remobilization of that material and redistribution by geomorphic processes of erosion, transport and accumulation (Vogel et al. 2011). The former resulted in an accumulation of deposits along the southeastern foot slopes of Somma- Predictor variable Importance [%] Elevation above sea level 100.0 Aspect 93.1 Channel base level 81.6 Altitude above Channel network 59.0 Slope 52.8 Analytical hillshade 50.6 LS-factor 48.6 Curvature classification 46.7 Convergence index 45.9 Profile curvature 44.3 Topographic wetness index 44.1 Stream power 43.8 Curvature 43.2 Plan curvature 41.9 Catchment area 38.5 Channel network 9.8 Table 1. Ranking of importance of the predictor variables used for the model generation. The most important variable was set to 100% whereas the others were calculated relatively thereto. Vesuvius, which is near the source of the eruption. The latter resulted in thinner deposits in the inner plain and thicker deposits along the Tyrrhenian coast. Correspondingly the southern and eastern mountain slopes show thin deposits whereas accumulation can be seen in the adjacent toe slope areas (Fig. 2). To get the absolute elevation above sea level of the Roman surface the predicted depth Figure 2. Modelled depth of the pre-ad 79 surface (thickness of post-ad 79 deposits) in the Sarno River plain. 350

Sebastian Vogel, Michael Märker and Florian Seiler linked to the modelled palaeo-river network. They are characterized by the 1m to 2m isolines of the vertical distance to channel network index (SAGA GIS) (Olaya and Conrad 2008). Consequently, this area can be determined as the flood area in which the palaeo-sarno most likely had its ancient riverbed (Vogel and Märker 2010; Vogel et al. 2011). Conclusions and Outlook Figure 3. Top: Pre-AD 79 digital elevation model (DEM) of the Sarno River plain. Bottom: pre-ad 79 paleoenvironmental and paleo-geomorphological features. was subtracted from the present-day digital elevation model (Fig. 3a). The Roman surface is approximately 5.8m deeper than the presentday surface resulting in the entire coastal area lying below the present-day sea level. Using SAGA GIS the palaeo-river network was modelled along the natural depth contours of the pre-ad 79 topography. To reconstruct some environmental conditions before AD 79 especially the ancient coastline and the floodplain of the palaeo-sarno the pre-ad 79 topography was compared with the character of the Roman stratum that was taken from the drilling data (Fig. 3b). The approximate location of the Roman coastline was already predefined by the littoral deposits that are distributed nearly parallel to the present-day coastline in a distance between 1,100m and 1,300m. The floodplain of the palaeo-sarno on the other hand is represented by fluvial/ palustrine deposits that are almost perfectly For the first time the pre-ad 79 topography and some palaeo-environmental conditions of the entire Sarno River Plain were reconstructed using sophisticated geostatistical methods. Nevertheless it is important to emphasise that this reconstruction is only a model of the Roman conditions based on the hypotheses stated above. In the future further stratigraphic drillings and additional geophysical prospections will be carried out to validate the results. Through the combination of the pre-ad 79 DEM with archaeological findings the palaeoenvironmental reconstruction of the Sarno River Plain can be refined. This pre-ad 79 DEM can now be used to identify zones of particular interest to carry out further stratigraphic or geomorphological investigations. In the future the Roman DEM can be of great importance for detailed geoarchaeological investigations of the Roman conditions in the Sarno River Plain. Bibliography Breiman, L., Friedman, J., Olshen, R., and Stone, C. 1984. Classification and Regression Trees. New York: Chapman and Hall. Hutchinson, M. F. 1988. Calculation of hydrologically sound digital elevation models. Paper presented at the Third International Symposium on Spatial Data Handling, Sydney. Columbus, Ohio International Geographical Union. Hutchinson, M. F. 1989. A new procedure for gridding elevation and stream line data with automatic removal of spurious pits. Journal of 351

CAA2011 - Revive the Past: Proceedings of the 39th Conference in Computer Applications and Quantitative Methods in Archaeology, Beijing, China, 12-16 April 2011 Hydrology 106:211-232. Myles, A., Feudale, R., Liu, Y., Woody, N., and Brown, S. 2004. An introduction to decision tree modelling. Journal of Chemometrics 18:275-285. Olaya, V., and Conrad, O. 2008. Geomorphometry in SAGA. in Geomorphometry: Concepts, Software, Applications, edited by T. Hengl, and H. I. Reuter. Developments in Soil Science 33. Amsterdam: Elsevier. Pfeiffer, T., Costa, A., and Macedonio, G. 2005. A model for the numerical simulation of tephra fall deposits. Journal of Volcanology and Geothermal Research 140:273-294. Sigurdsson, H., and Carey, S. 2002. The Eruption of Vesuvius in A.D. 79. In The Natural History of Pompeii, edited by W. F. Jashemski. Cambridge: Cambridge University Press. Vogel, S., and Märker, M. 2010. Reconstructing the Roman topography and environmental features of the Sarno River Plain (Italy) before the AD 79 eruption of Somma-Vesuvius. Geomorphology 115:67-77. Vogel, S., Märker, M., and Seiler, F. 2011. Revised modeling of the post-ad 79 volcanic deposits of Somma-Vesuvius to reconstruct the pre-ad 79 topography of the Sarno River plain (Italy). Geologica Carpathica 62 (1):5-16. 352