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  <front>
    <journal-meta><journal-id journal-id-type="publisher">DEUQUASP</journal-id><journal-title-group>
    <journal-title>DEUQUA Special Publications</journal-title>
    <abbrev-journal-title abbrev-type="publisher">DEUQUASP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">DEUQUA Spec. Pub.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2625-8137</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/deuquasp-4-29-2022</article-id><title-group><article-title>Ice dynamics in the SW sector of the Scandinavian Ice Sheet (SIS) – a fresh perspective from the classical area of the Weichselian glaciation in northern Brandenburg</article-title><alt-title>Ice dynamics in the SW sector of the SIS</alt-title>
      </title-group><?xmltex \runningtitle{Ice dynamics in the SW sector of the SIS}?><?xmltex \runningauthor{C. Lüthgens and J. Hardt}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lüthgens</surname><given-names>Christopher</given-names></name>
          <email>christopher.luethgens@boku.ac.at</email>
        <ext-link>https://orcid.org/0000-0003-3211-6318</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hardt</surname><given-names>Jacob</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8485-2232</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Applied Geology, University of Natural Resources and Life Sciences Vienna (BOKU), Vienna, Austria</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Earth Sciences, Physical Geography, Freie Universität Berlin, Berlin, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Christopher Lüthgens (christopher.luethgens@boku.ac.at)</corresp></author-notes><pub-date><day>15</day><month>September</month><year>2022</year></pub-date>
      
      <volume>4</volume>
      <fpage>29</fpage><lpage>39</lpage>
      
      <permissions>
        <copyright-statement>Copyright: © 2022 Christopher Lüthgens</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022.html">This article is available from https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022.html</self-uri><self-uri xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022.pdf">The full text article is available as a PDF file from https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e85">The glacial landscape of northern Brandenburg, especially
the Eberswalde–Chorin area, is one of the most important study areas of
Quaternary research in northern Germany, not only with respect to its
research history, but especially with regard to new mapping,
sedimentological logging, and dating results using up-to-date methodologies.
These new results have added an important puzzle-piece contributing to the
development of a new concept of ice dynamics in the SW sector of the Scandinavian Ice Sheet (SIS)
during Marine Isotope Stage 2 (MIS 2). After an introduction to the glacial
geomorphology of the area, key sites visited during the field trip are explained,
and the recent results are introduced and discussed.</p>
  </abstract>
      <custom-meta-group><custom-meta><meta-name>citationstatement</meta-name><meta-value>Lüthgens, C. and Hardt, J.: Ice dynamics in the SW sector of the Scandinavian Ice Sheet (SIS) – a fresh perspective from the classical area of the Weichselian glaciation in northern Brandenburg, DEUQUA Spec. Pub., 4, 29–39, https://doi.org/10.5194/deuquasp-4-29-2022, 2022.</meta-value></custom-meta></custom-meta-group>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e97">The glacial landscape of north-eastern Germany has been one of the type
areas in Quaternary research ever since the first steps towards a consistent
glacial theory were taken in the second half of the 19th century
(summarised in Lüthgens and Böse, 2011). Notwithstanding this
important role in research history, the area has experienced a boost in
scientific relevance throughout the last decade(s), now being one of the
areas providing the most comprehensive geochronological record for the last
glacial cycle in the south-western sector of the Scandinavian Ice Sheet
(SIS; summarised in Lüthgens et al., 2020). An important point that
makes the area particularly suitable for such research is the fact that
especially in Brandenburg, the ice-marginal positions of the Weichselian
glaciation are not only developed well north of the maximum extent of the
penultimate glaciation (Fig. 1) but were in fact also developed well apart
from each other (Fig. 2), allowing for a relatively straightforward
assignment of landforms and sediments to specific ice advances. The aim of this field trip was to demonstrate the exceptionally well-preserved and
textbook-like geomorphology and sedimentology of the glacial series
(<italic>Glaziale Serie</italic>) of the Pomeranian (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ice-marginal position in
the Eberswalde–Chorin area, contrasting it with the challenging
geomorphological and sedimentological record of the area assigned to the
“vanishing” Frankfurt (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ice-marginal position. Over the last
years, several geomorphological and geochronological studies applying
up-to-date methodology (Lüthgens et al., 2011, 2010a, b; Lüthgens and
Böse, 2011, 2012; Hardt et al., 2015, 2016, 2021; Hardt and
Böse, 2016; Heine et al., 2009; Brauer et al., 2005; Rinterknecht et
al., 2006, 2012) in that broader area have generated
important results, which have significantly contributed to a new
understanding of the ice dynamics and glacial landscape development in
north-eastern Germany (Lüthgens et al., 2020). Consequently, the route
of the field trip (Fig. 3) started on a drumlin-shaped elevation, the
“Kleiner Rummelsberg”, north of the <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ice-marginal position, leading
to the terminal moraines of the global Last Glacial Maximum (G-LGM) at the
Ihlowberge and Sperlingsherberge sites, to the area of the LGM proglacial
outwash plains in an ice-proximal setting at the Althüttendorf gravel
pit, and to the ice-proximal site of the Macherslust site. Leaving the area of
the G-LGM, the route then leads to the Albertshof and Ladeburg sites (Fig. 3), where the ice dynamics and landscape development are associated with the ice
advance to the local LGM (L-LGM), which reached its maximum position well
south of the field trip area at the Brandenburg ice-marginal position
(<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and its subsequent decay is discussed. The aim of the
field trip was to demonstrate that, rooted in a long tradition of research,
applying up-to-date methodology and integrating results from geomorphology,
sedimentology, and geochronology (Lüthgens et al., 2020) have changed the
view on and initiated a fresh and fruitful discussion about the dynamics of
the south-western sector of the SIS in the last glacial cycle.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e161">Maximum extents of the Elsterian (dark blue),
Saalian (blue), and Weichselian (light blue) glaciations (from south to north) in
the south-western sector of the SIS (figure modified from Lüthgens and
Böse, 2011; data from Ehlers and Gibbard, 2004).</p></caption>
        <?xmltex \igopts{width=162.180709pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f01.png"/>

      </fig>

<?xmltex \hack{\newpage}?><?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e174">Ice-marginal positions in north-eastern Germany and north-western
Poland according to the (traditional) morphostratigraphic system (based on
Liedtke, 1981). The existence of an <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ice-marginal position has been
challenged based on results from recent research (presented during the
field trip) and is only included here as a dotted line with question marks
for spatial reference (figure modified from Lüthgens and Böse,
2011).</p></caption>
        <?xmltex \igopts{width=162.180709pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f02.png"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e199">Overview map of the route of the field trip with waypoints to be
visited. (1) Kleiner Rummelsberg (geomorphological
overview), (2) Ihlowberge–Sperlingsherberge (terminal moraines of the
Pomeranian stage), (3) Althüttendorf gravel pit (ice-proximal sandur
sediments), (4) Macherslust clay pit (banded silts and clays), (5) Albertshof gravel pit (the vanishing of an ice-marginal position – part 1), (6) Ladeburg gravel pit (the vanishing of an ice-marginal position – part 2). Hydrology: © OpenStreetMap contributors 2022. Distributed under the Open Data Commons Open Database License (ODbL) v1.0.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Kleiner Rummelsberg (geomorphological overview)</title>
      <p id="d1e216">Situated in the glacial basin of an ice lobe that formed the terminal
moraines framing the area of the Parstein lake (“Parsteiner See”), the 82 m
high elevation of the Kleiner Rummelsberg (52.912955<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.981974<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) provides an excellent viewpoint to gain an overview
of the typical glacial geomorphology of the area (Fig. 4). To the west,
south, and east, the view is framed by the G-LGM terminal moraines of the
Pomeranian stage (“Parsteiner Bogen”), while the direct surroundings of
the Kleiner Rummelsberg itself are dominated by multiple lakes, which
developed in the depression of the glacial basin (<italic>Gletscherzungenbecken</italic>
in terms of the classical glacial series; Fig. 5). Towards the north, the
view is open and shows the transition of the lake-dominated basin to the
hummocky areas of the till plain associated with the G-LGM ice advance.
Apart from the Kleiner Rummelsberg itself, multiple hills are present
within the glacial basin. The processes that formed these hills have been
controversially discussed. Originally, they were interpreted to represent a
local, recessional ice-marginal position, formed during the retreat of the
ice front from the terminal moraine of the Parsteiner Bogen (Brose,
1978). However, some of the insular hills like the Kleiner Rummelsberg
itself have an elongated, drumlin-like shape, which may likely indicate
that these hills may represent older landforms, which have been overridden
by the L-LGM advance of the Parstein ice lobe to the Pomeranian ice-marginal
position.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e242">Views from the top of Kleiner Rummelsberg: <bold>(a)</bold> view to the
south-east, showing the <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> terminal moraines of the Parsteiner
Bogen in the background and the streamlined, drumlin-like topography in
the foreground (photo by Christopher Lüthgens, 2007). <bold>(b)</bold> View to the
south–south-west, showing again the <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> terminal moraines in the
background and recessional moraines bordering the shore of Wesensee (photo:
Christopher Lüthgens, 2007; modified from Lüthgens and Böse, 2011).</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f04.jpg"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e281">DEM of the <italic>Gletscherzungenbecken</italic> surrounded by the G-LGM
terminal moraines of the Parsteiner Bogen (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Waypoint 1: Kleiner
Rummelsberg. Map projection: UTM 33<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; coordinate system: WGS 84;
terrain model: Laserscan (GeoBasis-DE/LGB, 2020); hydrology: © OpenStreetMap contributors 2022. Distributed under the Open Data Commons Open Database License (ODbL) v1.0.</p></caption>
        <?xmltex \igopts{width=219.08622pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f05.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Ihlowberge–Sperlingsherberge (terminal moraines of the Pomeranian stage)</title>
      <p id="d1e323">Within the Brandenburg area, the terminal moraines of the Pomeranian ice-marginal position are not only very clearly geomorphologically expressed,
they are also rather exceptional with respect to the high content of
boulders within the sediment building the terminal moraines
(<italic>Blockpackung</italic>). Lacking any alternative hard-rock resources, these
boulder-rich sediments were discovered early on as a raw material source,
spawning a quarry industry in the mid-18th century. The sites
Ihlowberge (52.959169<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.836481<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and
Sperlingsherberge (52.972477<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.855360<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; Fig. 6)
are both abandoned quarries from that time and today offer access to the
sediments of the Pomeranian terminal moraines (Hultzsch, 1994), showing the
rare <italic>Blockpackungen</italic> (Fig. 7). Both sites are also part of the “Geopark
Eiszeitland am Oderrand” (roughly translating to geopark for the “ice age
landscape adjacent to the Oder River”). Information with regard to the
geopark can be accessed via the park's website
<uri>https://www.geopark-eiszeitland.de/</uri> (last access: 28 July 2022).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e374">DEM of the Althüttendorf area. (2) <italic>Blockpackungen</italic> of
Ihlowberge (north) and Sperlingsherberge (south), (3) Althüttendorf gravel pit. Map projection: UTM 33<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; coordinate system: WGS 84;
terrain model: Laserscan (GeoBasis-DE/LGB, 2020); hydrology: © OpenStreetMap contributors 2022. Distributed under the Open Data Commons Open Database License (ODbL) v1.0.</p></caption>
        <?xmltex \igopts{width=219.08622pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f06.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e397">Outcrop in the terminal moraines at the abandoned quarry of
“Sperlingsherberge” showing the high content of blocks (<italic>Blockpackung</italic>).
However, the characteristics of the proglacially deposited diamicton
building the terminal moraines vary between matrix- and clast-supported
segments and also include segments of glaciofluvial sediments (photo: Margot Böse, 2011).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f07.jpg"/>

      </fig>

      <p id="d1e410">Boulders from the terminal moraine surface were among the first to be dated
by means of surface exposure dating (SED) using cosmogenic nuclides
(specifically <inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:math></inline-formula>Be) in north-eastern Germany (Heine et al., 2009).
Methodological advances in cosmogenic nuclide dating required a
recalculation of these ages, which was conducted by Hardt and Böse (2016), resulting in ages around 18–20 ka, indicating the retreat of the ice
front from its G-LGM position at that time.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><?xmltex \opttitle{Alth\"{u}ttendorf gravel pit (ice-proximal sandur sediments)}?><title>Althüttendorf gravel pit (ice-proximal sandur sediments)</title>
      <p id="d1e431">Figure 8 shows that the terminal moraines of the G-LGM create an interlobate
area framed by the terminal moraines of the “Joachimsthaler Bogen”, which
functioned as a main meltwater drainage, resulting in the deposition of the
sediments forming the Althüttendorf outwash plain (“Althüttendorfer
Sander”, named by the nearby village). This outwash plain is part of the
complex pattern of intercalated glaciofluvial sedimentary units south of the
Pomeranian ice-marginal position (summarised in Lüthgens et al., 2011),
analysed in detail by Krambach and Böse (2017). Figure 8 summarises the
major routes of meltwater and related glaciofluvial outwash deposits in the
area. While the main discharge from the Althüttendorf area was most
likely routed south-west via the Werbellinsee depression, smaller fan-shaped
outwash cones seam the southern margins of the Pomeranian terminal moraines.
The fans form the Ragöse, Amtsweg, and Klosterbrücke sandurs and
indicate restricted meltwater activity in the Eberswalde ice-marginal valley
as opposed to previous interpretations by, for example, Liedtke (1956) or
Börner (2007) at that time (Krambach and Böse, 2017). The meltwaters
which where drained through the glaciofluvial gap in the area of the Chorin
Monastery originated from a recessional ice margin north of the Pomeranian
terminal moraines (like the Angermünde and Parstein subphases). The
exact drainage and routing of these meltwaters is still under debate, but
Krambach and Böse (2017) show that the Eberswalde ice-marginal valley
did not drain significant amounts of meltwater during that time as well.
This makes a rerouting of meltwater as proposed by, for example, Liedtke (1956) and
Kozarski (1966) more likely and challenges the previously established model
based on a glaciofluvial terrace system in the Eberswalde ice-marginal
valley (summarised by Gärtner et al., 1995).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e436">Simplified depiction of meltwater discharge in the field trip area
(based on Fig. 2 of Lüthgens et al., 2011), incorporating the new
results from Krambach and Böse (2017). Meltwater from the area of the
Pomeranian ice-marginal position (shaded red area; terminal moraines
indicated by the dashed red line) was mainly drained from the
Althüttendorf area around higher terrain formed by previous Weichselian
(orange shaded areas; <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> or even Saalian (purple shaded areas; S)
ice advances to the south-west and south-east. Outwash deposition was otherwise mostly
limited to fans in front of the terminal moraines (yellow arrows). Final
outwash drainage and deposition of meltwater deposits associated with the
Pomeranian ice-marginal position are documented in the outwash fan of
“Klosterbrücke” (bright-red arrows). After the ice front had retreated
to recessional stages further north, meltwater was channelled through the
Chorin gap (blue arrows) to the meltwater channels (delimited by dashed blue
lines) south of the Pomeranian ice-marginal position. Map projection: UTM 33<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; coordinate system: WGS 84; terrain model: Laserscan (GeoBasis-DE/LGB, 2020).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f08.png"/>

      </fig>

      <p id="d1e474">The sediments of the Althüttendorf outwash plain are accessible in one
of the largest gravel pits in Brandenburg (52.961308<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.867619<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; Fig. 6). Access to the pit is only possible with
permission by the operating company and is otherwise strictly forbidden.
Given its ice-proximal position, the Althüttendorf outwash sediments
mainly consist of sands and gravel with a percentage of 20 %–25 % of coarse
material <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> mm (Hultzsch, 1994), but on the upper part of the
<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> m of exposed sediments, intercalated diamictons can be
found. These can usually be separated into a lower diamicton containing
large quantities of clasts of boulder size, which is often overlain by a matrix-supported diamicton containing a moderate number of stones and smaller
blocks. Both diamictons may be interpreted as debris flow deposits
(Lüthgens et al., 2011) originating from the ice margin by
destabilisation of sediments deposited on the ice front during phases of
short re-advances (Fig. 9). Similar deposits have been described by
Pisarska-Jamroży (2006) in Chelm, close to the Pomeranian ice-marginal position, in
western Poland. In addition, pockets of fine sediments (mainly silts and
fine sands) were deposited in puddles and depressions caused by either the
unsettled landscape surface induced by debris flow activity or the thawing of
buried dead ice (Lüthgens et al., 2011). Depending on the outcrop
conditions, these fines often show intense cryoturbation features (Fig. 9).
In many places, these fines are again overlain by a matrix-supported
diamicton, containing only significantly smaller clasts than the lower ones,
which can be interpreted as a periglacial cover sediment (Lüthgens et
al., 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e518">Typical sediments of the Althüttendorf gravel pit: <bold>(a)</bold> glaciofluvial sands and gravels covered in part by diamictons deposited by
debris flow events (photo: Christopher Lüthgens, 2016). <bold>(b)</bold> Glacio-lacustrine
fines deposited on top of the irregular relief of the debris flow deposits
showing post-depositional cryoturbation structures (photo: Christopher Lüthgens,
2009).</p></caption>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f09.jpg"/>

      </fig>

      <p id="d1e533">The outwash sediments of the Althüttendorf sandur and the
Klosterbrücke outwash cone (about 10 km south-east of the
Althüttendorf site), both being of the same morphostratigraphical
relative age within the glaciofluvial drainage system of the region, were
dated by means of optically stimulated luminescence (OSL) by Lüthgens et
al. (2011). Mean ages based on multiple samples of <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mn mathvariant="normal">20.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula> ka for
Althüttendorf (initial phase of <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sandur deposition) and of
<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> ka for the Klosterbrücke (final phase of <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sandur
deposition) correlate nicely with the G-LGM.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Macherslust clay pit (banded silts and clays)</title>
      <p id="d1e591">In an abandoned clay pit (52.847582<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.838394<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in
the Torún–Eberswalde ice-marginal valley near Macherslust (Fig. 10),
north-east of the town of Eberswalde, banded clays and silts are exposed,
which were deposited in a depression most likely formed by melting dead ice
below ground (Marcinek and Schulz, 1995; Fig. 11). The 1–25 cm thick
laminated silt layers and 2–10 mm thick clay layers dip to the
west–north-west at an angle of <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, which was
interpreted as an effect of continued melting of dead ice after deposition
of the sediment succession (Schirrmeister, 2004). Because of a subaquatic
slide that must have happened before the sediments were consolidated, part
of the exposed section is intensely deformed. Although Pisarska-Jamroży (2013) uses the term “megavarves” to describe the sediments at
Macherslust, the laminated sediments do not reflect annual layers
(Schirrmeister, 2004). The succession of banded silts and clays is
frequently intercalated with layers of fine sand, which is a clear sign that
the glacio-lacustrine conditions were repeatedly interrupted by phases of
streaming water conditions. According to Schirrmeister (2004) and
Pisarska-Jamroży (2013), this indicates an influence of glacial
meltwater originating from a distant ice margin. Lüthgens et al. (2011)
dated the deposition of one of these sand layers to <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> ka.
However, based on the available age constraints Krambach and Böse (2017)
argue that the phase of deglaciation in the context of the Pomeranian ice
advance (following a process-based interpretation of SED and OSL ages)
occurred significantly earlier, and the deposits of Macherslust only reflect
a phase of melting of buried dead ice and ongoing periglacial processes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e644">DEM of the Macherslust area in the southern part of the
Torún–Eberswalde ice-marginal valley. Waypoint 4: abandoned clay pit. Map
projection: UTM 33<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; coordinate system: WGS 84; terrain model: Laserscan (GeoBasis-DE/LGB, 2020); hydrology: © OpenStreetMap contributors 2022. Distributed under the Open Data Commons Open Database License (ODbL) v1.0.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f10.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e664">Banded clays and silts exposed in the abandoned pit near
Macherslust showing the dip of the sediments to the west–north-west and some
deformation structures towards the top of the outcrop (photo: Christopher Lüthgens, 2016).</p></caption>
        <?xmltex \igopts{width=128.037402pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f11.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Albertshof gravel pit (the vanishing of an ice-marginal position – part 1)</title>
      <p id="d1e681">The route of the field trip now leaves the textbook glacial landscape of the
Pomeranian ice-marginal position to the south (Fig. 1) and enters the
landscape of the Barnim Plateau – an area traditionally ascribed to the
Frankfurt ice-marginal position (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. However, recent research based
on high-resolution analysis of a lidar DEM and subsequent fieldwork has
shown that the area is actually lacking any geomorphological features like
terminal-moraine-like landforms that could represent an ice-marginal
position (Hardt et al., 2015). Instead, a succession of arcuate till ridges
could be identified, with all ridges showing similar forms and dimensions,
with a length varying between 1–1.5 km and a width of 10–15 km; they rise
6–10 m from their surrounding areas (Hardt et al., 2015; Fig. 12). The
ridges are also identical with respect to their sedimentological
composition, with the ridges all consisting of till deposited on top of
glaciofluvial sands and meltwater deposits deposited in between the ridges
(Hardt et al., 2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e702">DEM of the arcuate till ridges on the Barnim Plateau. This area was
previously ascribed to the Frankfurt ice-marginal position (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
Please note that the till ridges are also visible within the Berlin city
limits (white line). (5) Albertshof gravel pit, (6) Ladeburg gravel pit.
Map projection: UTM 33<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; coordinate system: WGS 84; terrain model:
Laserscan (GeoBasis-DE/LGB, 2020); hydrology: © OpenStreetMap contributors 2022. Distributed under the Open Data Commons Open Database License (ODbL) v1.0.</p></caption>
        <?xmltex \igopts{width=207.705118pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f12.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e738">Cross-bedded glaciofluvial sands and fine gravels exposed in the
Albertshof gravel pit. Length of the shovel for scale approximately 1 m
(photo: Christopher Lüthgens, 2016).</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f13.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e750">Glacial till exposed in the Albertshof gravel pit. This till forms
one of the arcuate ridges (compare Fig. 12) typical for the Barnim area
(photo: Christopher Lüthgens, 2016).</p></caption>
        <?xmltex \igopts{width=133.727953pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f14.jpg"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e761">Panoramic view from the northern edge of the Ladeburg gravel pit to
the south, showing the size of the excavation and the outcrop wall that was
investigated by Hardt et al. (2016). Panorama composed of 10 photos taken by
Christopher Lüthgens (2016).</p></caption>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f15.jpg"/>

      </fig>

      <p id="d1e770">In the Albertshof gravel pit near Bernau (Fig. 12), the sediments of one of
these ridges are exposed (52.687559<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.627338<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E).
While the northern part of the pit consists of stratified sands and gravels
(Fig. 13) topped by a nonstratified unit (<italic>Geschiebedecksand</italic>), the
sediments of the ridge itself are accessible in the southern part of the
pit. Here, a massive diamicton is exposed, containing 10 %–17 % of clay and
silt and reaching a thickness of up to <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m (Fig. 14).
Stratified sands underlie this diamicton. The sedimentary pattern exposed
here (glaciofluvial sands below the till ridges with meltwater
sediment infills between the ridges) was also confirmed by means of
electrical resistivity tomography (ERT) measurements in the vicinity of the
gravel pit. These measurements covered a distance of about 700 m and
allowed for interpretation of the sediments up to a depth of about 16 m
below the landscape surface (Hardt et al., 2015).</p>
</sec>
<sec id="Ch1.S7">
  <label>7</label><title>Ladeburg gravel pit (the vanishing of an ice-marginal position – part 2)</title>
      <p id="d1e812">The Ladeburg gravel pit is located about 5 km west of the previously
described Albertshof gravel pit (Fig. 12) and is also situated on the fringe
of one of the aforementioned lobate ridge structures (52.704494<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 13.562466<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). This very ridge had been interpreted as
representing the Frankfurt ice-marginal position <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> by previous
authors (e.g. Hermsdorf et al., 1998). As described in Hardt et al. (2016),
the sediment succession exposed in the upper part of the Ladeburg gravel
pit, as well as ERT measurements in the vicinity of the pit, corroborates the
findings from the Albertshof area with regard to the structural architecture
of the arcuate ridges.</p>
      <p id="d1e847">The excavation depth in the Ladeburg pit of up to almost 20 m below the
landscape surface (Fig. 15) allows excellent access to a succession of
sediments, which, at least in the upper part, had previously been ascribed
to the <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> stage (Franz et al., 1970). The outcrop is dominated by
layers of sands and gravel, which are intercalated by two massive
matrix-supported diamictons. The upper diamicton has a thickness of about 1 m and occurs about 4 m below the surface. Towards the north of the pit, this
diamicton thickens and transitions into and forms the ridge structure as
described above. The lower diamicton has a thickness of about 2 m and occurs
about 8 m below the surface. Directly below this diamicton, cryoturbation
features within sand and gravel layers may indicate a former landscape
surface. Hardt et al. (2016) provide a chronology for this sediment
succession using OSL dating of the glaciofluvial sands. The lower diamicton
is framed by luminescence ages between a minimum age of <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">148.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.4</mml:mn></mml:mrow></mml:math></inline-formula> ka (underlying sands below the cryoturbation structures) and an
age of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mn mathvariant="normal">34.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:math></inline-formula> ka (overlying sands). The exact chronostratigraphic
position of the lower till therefore remains unclear, but fine-gravel
analyses conducted by Gärtner (1993) yielded a Saalian spectrum for the
till. The upper diamicton, however, is framed by luminescence ages between
<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mn mathvariant="normal">33.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula> ka (underlying sands) and <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn></mml:mrow></mml:math></inline-formula> ka (overlying
sands), providing an excellent age estimate for the formation of the ridge,
which most likely also applies to the formation of the other ridges in the
Barnim area (Hardt et al., 2016). Taking all available geochronological data
from the broader area into account (Lüthgens et al., 2010a, b, 2011, 2020;
Lüthgens,
2011; Hardt et al., 2016), the formation of the ridges can be
ascribed to the phase of ice decay and ice front retreat from the L-LGM
position, the Brandenburg or <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> stage. Because there are no
indications of a stable ice margin in the area, the ridges representing the
<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> recessional phase replace the <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ice-marginal position in the
Barnim area.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <label>8</label><title>Summary</title>
      <p id="d1e966">These new results from the sites visited during this field trip clearly show
the importance of a process-based interpretation of numerical ages and call
for a time-based reconstruction of ice sheet extents, as opposed to the
traditional morphostratigraphical approach, which inevitably results in
time-transgressive reconstructions and models. Only by using a time-based
reconstruction can the available numerical ages (summarised for the Brandenburg
area in Fig. 16) serve as vital tools for the reconstruction of ice
sheet dynamics. Following this approach, Lüthgens et al. (2020) recently
proposed a new conceptual model for the reconstruction of ice dynamics in
the south-western sector of the SIS in MIS 2. The new insights gained in the
area visited during this field trip have significantly contributed to
opening new doors for the interpretation of the dynamics in the
south-western sector of the SIS with multiple new and fascinating scenarios
now within the realm of possibility, as proposed by Lüthgens et al. (2020).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F16" specific-use="star"><?xmltex \currentcnt{16}?><?xmltex \def\figurename{Figure}?><label>Figure 16</label><caption><p id="d1e971">Summary of OSL and SED ages: <inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> Lüthgens et al. (2010a), <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> Lüthgens et al. (2010b), <inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Lüthgens et al. (2011), <inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> Brauer et
al. (2005), <inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> SED ages (asterisks indicate the recalculated ages
from Hardt and Böse, 2016, using CRONUS online (Balco et al., 2008) and
the alternative calibration dataset by Heyman 2014; original ages provided
in brackets), <inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> Lüthgens (2011), <inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> Hardt et al. (2016), <inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula> Lüthgens et al. (2020). Base map derived from hillshaded SRTM data.
Figure modified from Hardt (2017).</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://deuquasp.copernicus.org/articles/4/29/2022/deuquasp-4-29-2022-f16.png"/>

      </fig>

<?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1059">All cited datasets can be accessed publicly via the referenced original publications. In addition, Table 1 in Lüthgens et al. (2020) provides a compilation of most of the cited datasets.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1065">CL and JH have planned the field trip route. CL and JH conducted the literature research and composed the maps. CL prepared the original draft, which was reviewed and edited by JH.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1071">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1078">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1084">The authors want to thank Margot Böse for providing a photograph of the Sperlingsherberge rock quarry. The authors highly appreciate the commitment of the editors of this DEUQUA Special Publications field guide, Achim Brauer, Markus Schwab, and Henrik Rother.</p></ack><ref-list>
    <title>References</title>

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