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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESurf</journal-id><journal-title-group>
    <journal-title>Earth Surface Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESurf</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Surf. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2196-632X</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/esurf-6-369-2018</article-id><title-group><article-title>Drainage reorganization and divide migration induced by the excavation of the Ebro basin (NE Spain)</article-title><alt-title>The divide migration of the Ebro basin</alt-title>
      </title-group><?xmltex \runningtitle{The divide migration of the Ebro basin}?><?xmltex \runningauthor{A.~Vacherat et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vacherat</surname><given-names>Arnaud</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Bonnet</surname><given-names>Stéphane</given-names></name>
          <email>stephane.bonnet@get.omp.eu</email>
        <ext-link>https://orcid.org/0000-0003-4464-285X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Mouthereau</surname><given-names>Frédéric</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Géosciences Environnement Toulouse (GET), Université de Toulouse, CNRS, IRD, UPS, Toulouse, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Stéphane Bonnet (stephane.bonnet@get.omp.eu)</corresp></author-notes><pub-date><day>14</day><month>May</month><year>2018</year></pub-date>
      
      <volume>6</volume>
      <issue>2</issue>
      <fpage>369</fpage><lpage>387</lpage>
      <history>
        <date date-type="received"><day>6</day><month>September</month><year>2017</year></date>
           <date date-type="accepted"><day>11</day><month>April</month><year>2018</year></date>
           <date date-type="rev-recd"><day>19</day><month>March</month><year>2018</year></date>
           <date date-type="rev-request"><day>12</day><month>October</month><year>2017</year></date>
      </history>
      <permissions>
        
        
      <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://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018.html">This article is available from https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018.html</self-uri><self-uri xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018.pdf">The full text article is available as a PDF file from https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018.pdf</self-uri>
      <abstract>
    <p id="d1e95">Intracontinental endorheic basins are key elements of source-to-sink systems as they preserve sediments eroded from the surrounding
catchments. Drainage reorganization in such a basin in response to changing boundary conditions has strong implications on the
sediment routing system and on landscape evolution. The Ebro and Duero basins represent two foreland basins, which developed in
response to the growth of surrounding compressional orogens, the Pyrenees and the Cantabrian mountains to the north, the Iberian
Ranges to the south, and the Catalan Coastal Range to the east. They were once connected as endorheic basins in the early
Oligocene. By the end of the Miocene, new post-orogenic conditions led to the current setting in which the Ebro and Duero basins are
flowing in opposite directions, towards the Mediterranean Sea and the Atlantic Ocean. Although these two hydrographic basins recorded
a similar history, they are characterized by very different morphologic features. The Ebro basin is highly excavated, whereas relicts
of the endorheic stage are very well preserved in the Duero basin. The contrasting morphological preservation of the endorheic stage
represents an ideal natural laboratory to study the drivers (internal and/or external) of post-orogenic drainage divide mobility, drainage
network, and landscape evolution. To that aim, we use field and map observations and we apply the <inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> analysis of river profiles
along the divide between the Ebro and Duero drainage basins. We show here that the contrasting excavation of the Ebro and Duero
basins drives a reorganization of their drainage network through a series of captures, which resulted in the southwestward migration
of their main drainage divide. Fluvial captures have a strong impact on drainage areas, fluxes, and their respective incision
capacity. We conclude that drainage reorganization driven by the capture of the Duero basin rivers by the Ebro drainage system explains the
first-order preservation of endorheic stage remnants in the Duero basin, due to drainage area loss, independently from tectonics and
climate.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e112">Landscapes subjected to contrasted erosion rates between adjacent drainage basins show a migration of their drainage divide toward the
area of lower erosion rates (Bonnet, 2009; Willett et al., 2014). This is the case for mountain ranges characterized by gradients in
precipitation rates due to orography, once landscapes are in a transient state and are not adjusted to precipitation differences
(Bonnet, 2009). It also occurs when drainage was reorganized in response to capture (Yanites et al., 2013; Willett et al., 2014). River
capture actually drives a drop in the spatial position of drainage divide (Prince et al., 2011) but also produces a wave of erosion in
the captured reach (Yanites et al., 2013) that may impact divide position.  Historically, migration of divides has been inferred by
changes in the provenance of sediments stored in sedimentary basins (e.g., Kuhlemann et al., 2001). It is however a process that is
generally very difficult to document in erosional landscapes. Recent developments have provided models and analytical approaches to
identify divide migration in the landscape (Bonnet, 2009; Castelltort et al., 2012; Willett et al., 2014; Whipple et al., 2017).  Among
them the recently developed <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> analysis of longitudinal profiles of rivers (Perron and Royden, 2012) is based on the recognition of
disequilibrium along river profiles, disequilibrium being defined by the departure from an ideal equilibrium shape.<?pagebreak page370?> The application of
this method to both natural and numerically simulated landscapes has allowed us to demonstrate contrasts in the equilibrium state of
rivers across divide and then to infer their migration (Willett et al., 2014). The applicability of this method is however limited to
settings where the response time of rivers is larger compared to the rate of divide migration, so they can actually show disequilibrium
in their longitudinal profiles (Whipple et al., 2017).</p>
      <p id="d1e122">The Ebro and Duero drainage basins in the northern Iberian Peninsula show geological and geomorphological evidence of very contrasted
erosional histories during the Neogene. They initially recorded a long endorheic stage from the early Oligocene to the late Miocene
(Riba et al., 1983; Garcia-Castellanos et al., 2003). Since then, both basins opened toward the Atlantic Ocean (Duero) or the
Mediterranean Sea (Ebro). The Ebro basin's opening is reflected in the landscape by evidence of river incision (Garcia-Castellanos
et al., 2003), whereas the Duero basin does not show significant incision in its upstream part as a large relict of its endorheic
morphology is preserved (Antón et al., 2012). The Duero River long profile actually shows a pronounced knickpoint (knickzone)
defining an upstream domain of high mean elevation (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">800</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) and low relief where the sediments deposited during the
endorheic stage are relatively well preserved. Then, these two adjacent basins are characterized by differences in incision and in the
preservation of their endorheic stages. They thus represent an ideal natural laboratory to evaluate divide migration in response to
differential post-orogenic incision. Following a presentation of the geological context, we first compile evidence of fluvial captures
along the Ebro–Duero divide, based on previous studies and our own investigations, and we map the location of knickpoints and relict
portions of the drainage network. We use all these observations to reconstruct a paleo-divide position and to estimate the impact of
divide migration in terms of drainage area and stream power. We complement this dataset by providing a map of <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> across divide
(Willett et al., 2014) to highlight the potential disequilibrium state between rivers of the Ebro and Duero catchments.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e151"><bold>(a)</bold> Topographic map of the Duero and Ebro basins and surrounding belts. <bold>(b)</bold> Averaged topographic section
throughout the Duero and Ebro basins showing important incision contrast between the two basins. The Duero basin recorded low
incision, especially in its upper part, whereas the Ebro basin is highly excavated.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f01.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e168">Simplified geological map of the study area.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f02.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e179">Topographic map of the study area with all the rivers considered in this study. The red lines represent drainage divides between main hydrographic basins.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f03.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e190">Zoom of the geological map of the Iberian Range showing the location of the Jalón River tributaries. The river long profiles of these streams and the location of knickpoints are shown to the left.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f04.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e201"><bold>(a)</bold> Zoom of the geological map of the Bureba sector.
<bold>(b)</bold> Zoom of the Homino River (Ebro tributary) capturing the upper reach of the Jordan River (Duero tributary).
<bold>(c)</bold> Schematic representation of this capture using river long profiles and map orientation, showing the associated knickpoint and wind gap.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f05.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>Geological setting</title>
<sec id="Ch1.S2.SS1">
  <title>The Ebro and Duero basins</title>
      <p id="d1e229">The Ebro and Duero basins represent two hydrographic basins located in the
northern part of the Iberian Peninsula (Fig. 1). The bedrock of the Ebro and
Duero drainage basins mainly consists of Cenozoic deposits, and Mesozoic and
Paleozoic rocks in their headwaters (Fig. 2). They once formed a unique
flexural foreland basin during the Cenozoic controlled by the surrounding
mountain belts: the Pyrenees and the Cantabrian mountains to the north
(Pulgar et al., 1999), the Iberian and Central ranges to the south
(Guimerà et al., 2004; De Vicente et al., 2007), and the Catalan Coastal
Range (CCR) to the east (López-Blanco et al., 2000; Salas et al., 2001),
during collision between Iberia and Europe since the Late Cretaceous.</p>
      <p id="d1e232">From the Late Cretaceous, the Ebro and Duero basins were essentially filled by clastic deposits, and opened toward the Atlantic Ocean
in the Bay of Biscay (Alonso-Zarza et al., 2002). During the late Eocene–early Oligocene, the uplift in the Western Pyrenees
(Puigdefàbregas et al., 1992) led to the closure of the Ebro and Duero basins as attested by the Ebro basin continentalization
dated at <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">36</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="normal">Ma</mml:mi></mml:math></inline-formula> (Costa et al., 2010). The center of these two basins became long-lived lakes filled with lacustrine,
sandy, and evaporitic deposits from the Oligocene to the Miocene (Riba et al., 1983; Alonso-Zarza et al., 2002; Pérez-Rivarés
et al., 2002, 2004; Garcia-Castellanos et al., 2003; Garcia-Castellanos, 2006; Larrasoaña et al., 2006; Vázquez-Urbez et al.,
2013). The opening of the Ebro basin through the CCR toward the Mediterranean Sea occurred during the late Miocene,
leading to kilometer-scale excavation throughout the basin (Fillon and Van der Beek, 2012; Fillon et al., 2013; Garcia-Castellanos and
Larrasoaña, 2015). The exact timing and processes driving the opening, as well as the role of the Messinian Salinity Crisis,
has long been debated (Coney et al., 1996 (post-Messinian); Garcia-Castellanos et al., 2003 (13–8.5 <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="normal">Ma</mml:mi></mml:math></inline-formula>); Babault et al., 2006
(post-Messinian); Urgeles et al., 2010; Cameselle et al., 2014 (Serravallian–Tortonian); Garcia-Castellanos and Larrasoaña, 2015
(12–7.5 <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="normal">Ma</mml:mi></mml:math></inline-formula>)). In contrast with the Ebro basin, incision in the upper Duero basin appears much less significant. The Duero
basin is characterized by a low-relief topography (Fig. 1) in its upstream part, at 700–800 <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> to the west, and at
1000–1100 <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> to the north, northeast, and to the east in the Almazán subbasin, close to the divide with the Ebro basin.
The connection of the Duero River with the Atlantic Ocean occurred from the late Miocene–early Pliocene to the late Pliocene–Early
Pleistocene (Martín-Serrano, 1991). The current Ebro and Duero drainage networks are separated by a divide running from the
Cantabrian belt to the NW, toward the SE in the Iberian Range (Figs. 1–3). In the following, we review the geological evolution
of the different domains that constitute this drainage divide between the Ebro and Duero drainage basins.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>The Iberian Range</title>
      <p id="d1e315">The Iberian Range (Figs. 2 and 4) is a double vergent fold-and-thrust belt resulting from Late Cretaceous inversion of Late
Jurassic–Early Cretaceous rift basins during Iberia–Europe convergence (Salas et al., 2001; Guimerà et al., 2004;
Martín-Chivelet et al., 2002). It is divided into two NW–SE-directed branches, the Aragonese and the Castilian branches,
separated by the Tertiary Almazán subbasin (Bond, 1996). The Almazán subbasin has been connected to the Duero basin since the early Miocene
(Alonso-Zarza et al., 2002).</p>
      <p id="d1e318">The Iberian Range is essentially made of marine carbonates and continental clastic sediments ranging from late<?pagebreak page371?> Permian to Albian,
overlying a Hercynian basement. The Cameros subbasin to the NW represents a Late Jurassic–Early Cretaceous trough almost exclusively
filled by continental siliciclastic deposits (Martín-Chivelet et al., 2002 and references therein; Del Rio et al.,
2009). Shortening in the Iberian Range occurred from the Late Cretaceous to the early Miocene, along inherited Hercynian NW–SE
structures (Gutiérrez-Elorza and Gracia, 1997; Guimerà et al., 2004; Gutiérrez-Elorza et al., 2002). The opening of the
Calatayud basin in the Aragonese branch occurred during the Early Miocene in response to right-lateral transpression on the southern
margin of the Iberian Range (Daroca area) (Colomer and Santanach, 1988). It is followed during the Pliocene and the Pleistocene by
pulses of extension-reactivating faults in the Calatayud basin and the formation of grabens such as the Daroca, Munébrega,
Gallocanta, and Jiloca grabens (Fig. 4; Colomer and Santanach, 1988; Gutiérrez-Elorza et al., 2002; Capote et al., 2002).  This is
also outlined by the occurrence of late Pliocene to Early Pleistocene breccias and glacis levels in the Daroca and Jiloca grabens
(Gracia, 1992, 1993a; Gracia and Cuchi, 1993; Gutiérrez-Santolalla et al., 1996). These Neogene troughs are filled by continental
deposits and pediments, up to the Quaternary (Fig. 4). The Neogene tectonic pulses in the Iberian are interrupted by periods of
quiescence during which erosion surfaces developed (Gutiérrez-Elorza and Gracia, 1997).</p>
      <p id="d1e321">Deformation and uplift of the Iberian Range and Cameros basin resulted in the development of a new drainage divide between the Duero
and Ebro basins and in the isolation of the Almazán subbasin (Alonso-Zarza et al., 2002). In contrast, the connection between the Duero
and Ebro basins has not been affected by significant deformation and uplift in the proto-Rioja trough (Mikes, 2010).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>The Rioja trough and Bureba high</title>
      <p id="d1e330">The Rioja trough (Figs. 2 and 5) recorded important subsidence, especially during the Cenozoic (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>), related<?pagebreak page372?> to
compression and thrusting on its borders (Jurado and Riba, 1996). As thrusting initiated in the Pyrenean–Cantabrian belt and in the
Iberian Range and Cameros basin, the Rioja trough became domain of important synorogenic sediment transfer between the Ebro and Duero
basins. During the Paleocene, the Rioja trough was a marine depositional environment. With the increase in sediment fluxes that
originated from the exhumation of surrounding mountain bets, sedimentation became essentially continental in the Eocene. Thrusting
continued during the Oligocene, resulting in the formation of an anticline connecting the Cantabrian domain and the Cameros inverted
basin. This morphologic high (the Bureba anticline, Fig. 5) located in the center of the area is supposed to have triggered the
disconnection between the Duero and Ebro basins (Mikes, 2010), as suggested by the repartition of alluvial fans on both sides of this
structure (Muñoz-Jiménez and Casas-Sainz, 1997; Villena et al., 1996). During the Miocene, deformation ceased as evidenced by
the deposition of undeformed middle Miocene to Holocene strata.  The Bureba anticline is cored by Albian strata and topped by Santonian
limestones and Oligocene conglomerates controlling the location of the current main drainage divide between the Ebro and Duero river
networks (Fig. 5).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Climate evolution</title>
      <p id="d1e356">Climate exerts a major control on valley incision, sediment discharge, and on the evolution of drainage networks (Willet, 1999;
Garcia-Castellanos, 2006; Bonnet, 2009; Whipple, 2009; Whitfield and Harvey, 2012; Stange et al., 2014). The mean annual precipitation
map for the northern Iberian Peninsula (Hijmans et al., 2005) shows a similar pattern for both the Ebro and Duero basins as they record
very low precipitation, associated with global subarid conditions, with the exception of the Cameros basin, which records a slightly
higher precipitation rate (Fig. 6). There is a strong contrast to the north, toward the Mediterranean Sea and the most elevated areas
in the Cantabrian and Pyrenean belts, where precipitation drastically increases.</p>
      <p id="d1e359">The paleoclimatic evolution from the Late Cretaceous to the Neogene is linked with both the effects of surrounding mountain uplift,
and with the latitudinal variation drift of Iberia from 30<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in the Cretaceous to <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N during late Neogene
times. The hot-humid tropical climate of the Late<?pagebreak page373?> Cretaceous became drier and arid from the Paleocene to the middle Miocene
(López-Martínez et al., 1986), favoring the development of endorheic lakes (Garcia-Castellanos, 2006).  During the
middle–late Miocene and early Pliocene, the northern Iberia recorded more humid and seasonal conditions (Calvo et al., 1993;
Alonso-Zarza and Calvo, 2000) with alternations of cold–wet and hot–dry periods (Bessais and Cravatte, 1988; Rivas-Carballo et al.,
1994; Jiménez-Moreno et al., 2010). More humid and colder conditions took place in the late Pliocene, characterized by dry glacial
periods and humid interglacials (Suc and Popescu, 2005; Jiménez-Moreno et al., 2013).  Climatic contrasts increased, triggering
intense glacier fluctuations in the surrounding mountain ranges during the Lower–Middle Pleistocene transition (1.4–0.8 <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="normal">Ma</mml:mi></mml:math></inline-formula>)
(Moreno et al., 2012; Duval et al., 2015; Sancho et al., 2016), and throughout the Late Pleistocene period, which record
glacial–interglacial oscillations, as evidenced by pollen identification (Suc and Popescu, 2005; Jiménez-Moreno et al., 2010, 2013;
Barrón et al., 2016; García-Ruiz et al., 2016) and speleothem studies (Moreno et al., 2013; Bartolomé et al., 2015).</p>
      <p id="d1e396">Glaciers are considered a very efficient erosion tool in a continental environment. They are likely to influence drainage divide
migration (Brocklehurst and Whipple, 2002). There is large evidence of glacier development, especially for the Late Pleistocene in the
Pyrenees (Delmas et al., 2009; Nivière et al., 2016; García-Ruiz et al., 2016), in the Cantabrian belt (Serrano et al., 2013,
2016; García-Ruiz et al., 2016), and in the Central Range (Palacios et al., 2011, 2012; García-Ruiz et al., 2016). However,
although numerous moraines have been mapped throughout the Iberian Range (Ortigosa, 1994; García-Ruiz et al., 1998; Pellicer and
Echeverría, 2004), there is no evidence of U-shaped valleys and because of the lack of very highly elevated massifs (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>), the occurrence of active ice tongues is considered limited, if not precluded (García-Ruiz et al., 2016).</p>
</sec>
</sec>
<?pagebreak page374?><sec id="Ch1.S3">
  <title>Evidence of divide mobility between the Duero and Ebro catchments</title>
      <p id="d1e423">The easternmost part of the Duero River is opposed to the Ebro tributaries that are the Jalón, Huecha, Queiles, Alama, Cidacos, Iregua,
and Najerilla rivers, whereas the Arlanzón and Pisuerga rivers
(Duero tributaries) are opposed to the Najerilla, Tirón,
Oca, and Rudrón rivers, and to the westernmost part of the Ebro River (Fig. 3). The northeastern part of the Duero basin (the easternmost Duero River,
the Arlanzón and Pisuerga rivers) mainly consists of broad flat valleys characterized by low incision depth and low-gradient streams
with concave longitudinal profiles (Antón et al., 2012, 2014). By contrast, the western part of the Ebro basin is characterized by
more incised valleys, especially in the Cantabrian and in the Cameros–Iberian Range domains, with more complex longitudinal profiles
(knickpoints, remnants of highly elevated surfaces). Previous studies (Gutiérrez-Santolalla et al., 1996; Pineda, 1997; Mikes, 2010)
have already shown that the Jalón and Homino rivers, which belong to the Ebro basin, have recently captured parts of the Duero basin in the
Iberian Range and in the Rioja trough, respectively. Such evolution has been recorded by the occurrence of geomorphological markers as
wind gaps and elbows of captures, as well as by the presence of knickpoints and/or remnants of highly elevated surfaces in river
long profiles. To highlight this dynamic evolution, we performed a morphometric analysis of rivers all around the divide separating the Ebro
basin from the Duero basin, with particular attention given to the Aragonese branch of the Iberian Range (Fig. 4) and to the Rioja
trough (Fig. 5), where captures have already been described.</p>
      <p id="d1e426">The studied basins were digitally mapped using high-resolution (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) digital elevation models (DEMs) from SRTM 1 arcsec
global elevation data available at the US<?pagebreak page375?> Geological Survey (<uri>www.usgs.gov</uri>, last access: 5 May 2018). The different DEMs were assembled using
the ENVI software.  We also used <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> geological maps from the Instituto Géologico y Minero de
España (<uri>www.igme.es</uri>, last access: 5 May 2018). We used the TopoToolbox, a MATLAB-based software developed by Schwanghart and Scherler (2014), to
extract the river network and longitudinal profiles and the <inline-formula><mml:math id="M23" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula>-analysis tool developed by Mudd et al. (2014).</p>
<sec id="Ch1.S3.SS1">
  <title>Fluvial captures and related knickpoints in the Iberian Range</title>
      <p id="d1e480">Neogene tectonics in the Iberian range controlled the uplift of topographic ranges and the formation of several basins whose connection
with the Ebro or the Duero has occasionally changed through time. Today, the western part of the Almazán subbasin (Figs. 2 and 4)
belongs to the Duero catchment, its eastern part being drained by the Ebro drainage network and especially by the Jalón River and its
tributaries (Fig. 4). Gutiérrez-Santolalla et al. (1996) proposed that the<?pagebreak page376?> Jalón River captured this domain after cutting into the
Mesozoic and Neogene strata and the two Paleozoic ridges of the Aragonese branch of the Iberian Range. They used chronostratigraphic
evidence to build a relative chronology of capture events in the Jalón area.  First, the incision of the northern Paleozoic ridge and
capture of the Calatayud basin by the Jalón River is attributed to a post-Messinian age.  The Jiloca River, the easternmost main Jalón
tributary, is then thought to capture the Daroca graben area to the east during the late Pliocene–Early Pleistocene. This is
followed from the Early to Late Pleistocene by the capture of the Jiloca graben to the southeast and finally by the capture of the
Munébrega graben to the southwest, by the Jalón River (Gutierrez-Santolalla et al., 1996), toward the easternmost part of the
Almazán subbasin.</p>
      <p id="d1e483">The Jalón River and tributaries show knickpoints in their longitudinal profiles (Fig. 4), at locations that are consistent with the
events of captures proposed by Gutiérrez-Santolalla et al. (1996), suggesting that these captures are actually witnessed by
knickpoints. The capture of the Jiloca graben corresponds to a major knickpoint in the Jiloca River profile that appears very smoothed,
and that is followed by an upstream <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> long flat domain preserved at <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> This imparts
a convex shape to the Jiloca profile (Fig. 4). Due to the short period of time between the formation of the Jiloca graben (the earliest
glacis deposits are attributed to the middle Pliocene) and its capture (Early Pleistocene; Gutierrez-Santolalla et al., 1996), we
suggest this upstream domain was a short-lived endorheic domain that has never been externally drained before being captured by the
Ebro network. In the northwestern part of the Jiloca graben, the Cañamaria River, a tributary of the Jiloca River, heads to the
northwest, reaching the Gallocanta basin, also considered a former graben (Gracia, 1993b; Gracia et al., 1999; Gutiérrez-Elorza
et al., 2002). The upstream part of its river long profile is characterized by a sharper knickpoint at the entrance of the basin and
is followed by a <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> long flat domain (Fig. 4). Similar to the Jiloca graben, the Gallocanta basin appears to be
a short-lived endorheic domain that has been more recently captured by the Jiloca River network.</p>
      <p id="d1e552">According to Gutiérrez-Santolalla et al. (1996), the Jalón River reached the southern Paleozoic ridge of the Aragonese branch, to
the southwest of the Calatayud basin, and captured the Munébrega graben and the Almazán subbasin (also characterized by a pronounced
knickpoint) during the Pleistocene–Holocene, slightly after the capture of the Jiloca graben by the Jiloca River. This is coherent with
morphological analysis of longitudinal profiles, as the major knickpoint related to the capture of the Jiloca graben appears very
smoothed, whereas knickpoints observed in the west are sharper, suggesting they are younger. However we cannot rule out some local
influence of the lithology on the shape of these knickpoints.</p>
      <p id="d1e555">Finally, the Piedra River (Jalón tributary) long profile shows major sharp knickpoints and two successive <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> long
almost flat domains in the Almazán subbasin, at <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">900</mml:mn></mml:mrow></mml:math></inline-formula>–1000 <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. 4). In addition, the upper reach of the river
long profiles of the Jalón River, and of its tributary the Blanco River, are characterized by major sharp knickpoints, and by a <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> long flat domain at <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>–1100 <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, in the Mesozoic Castilian branch of the Iberian Range (Fig. 4).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Fluvial captures and related knickpoints in the Rioja trough area</title>
      <p id="d1e661">In the Rioja trough area, the position of the Ebro–Duero divide is partly controlled by the Bureba anticline. It consists of folded
Middle Cretaceous to early Miocene series, covered by undeformed middle Miocene to Holocene deposits (Fig. 5). The anticline is
orientated E–W to the west and NE–SW to the east. The western part of the Rioja trough to the west of the NE–SW-directed branch of
the Bureba anticline (Fig. 5) used to be drained toward the Duero basin since the Oligocene (Pineda, 1997; Mikes, 2010). The westward
migration of the divide to its current location is thought to have occurred in several steps of captures as shown by the occurrence of
remnants of escarpments during the late Miocene–Pliocene (Mikes, 2010). Once the eastern branch of the Bureba anticline has been
incised, the Ebro tributaries captured the western part of the Rioja trough, up to the E–W branch of the Bureba anticline to the
southwest, from the late Miocene to the Pliocene. The western part of the anticline forms a topographic ridge that is incised by the Jordan
River (Fig. 5) in a place where the divide between the Ebro and Duero river networks is located to the north of the ridge. To the east
of this location, however, the topographic ridge formed by the Bureba anticline controls the current location of the main drainage divide
(Fig. 5). Here, the ridge exhibits several wind gaps, located on the northward prolongation of the Hoz, Rioseras, and Nava Solo rivers
(Figs. 5 and 7). Further east, the Diablo River does not incise the ridge and its headwater is located in the core of the eastern
branch of the Bureba anticline, the Fuente Valley (Fig. 5). These last streams are tributaries of the Ubierna River, which is
a tributary of the Arlanzón River and so, of the Duero River. To the north, the Ebro River system is represented, from west to east, by
the Homino River (a tributary of the Oca River) and its four tributaries, the Molina, the Fuente Monte, the Zorica, and the San Pedro
rivers (Figs. 5 and 7). All these streams are outlined by Late Pleistocene to Holocene alluvial series that are deposited at the bottom
of their respective valleys. Valleys from the Duero side appear larger than those from the Ebro side, which are significantly more
incised.</p>
      <p id="d1e664">The Jordan River's headwater is located north of the ridge formed by the Bureba anticline. We can continuously follow its valley
deposits northward along a broadly gentle slope, up to the locality of Cornégula (Fig. 5).  However, the current course of the Jordan
River is cut <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> south, in the vicinity of Hontomin, by the Homino (Ebro) River (Figs. 5b, c, and 7). This fluvial capture
is characterized by a well-defined<?pagebreak page377?> and highly incised elbow of capture, already described by Pineda (1997) and Mikes (2010). The
longitudinal profile of the Homino River shows a sharp knickpoint located on Hontomin (Fig. 7c). Finally, there is a small wind gap on
the divide between the two opposite rivers (Figs. 5 and 7).</p>
      <p id="d1e684">To the southeast, the headwater of the Hoz River is located to the south of a wind gap cut into the Bureba ridge (Fig. 7c). To the
north, in the exact prolongation of the Hoz River, the Molina River shows a bend similar to the elbow of capture previously described
for the Homino River (Fig. 7) and there is a minor knickpoint located on this elbow, according to the extracted river long
profile. Thus, it is likely that the Molina River used to represent the former upper reach of the Hoz River, in a period when the
Ebro–Duero divide was located northward, before being captured by the Ebro network.</p>
      <p id="d1e687">To the east, the Rioseras and the Nava Solo rivers also have their headwaters located to the south of wind gaps in the Bureba ridge
(Fig. 7). Similarly, in their exact prolongations, the Fuente Monte and the Zorica rivers show important elbows of capture with minor
knickpoints. They may also represent former upper reaches of Duero streams that have been captured by the Ebro network (Figs. 5, 7
and 8).</p>
      <p id="d1e691">Further east, the headwater of the Diablo River is located on the depression represented by the core of the eastern branch of the
Bureba anticline, the Fuente valley. In its prolongation to the northeast, the San Pedro River incises the northeastern termination of
the anticline from the north before entering the valley, leading to a southward retreat of the divide (Fig. 5).  Capture is again
evidenced by important incision contrast between the Ebro and Duero systems and by sharp knickpoints on the upper reach of the San Pedro
River long profile when crossing the Santonian dolomites (Fig. 8). According to this whole set of observations, and in agreement with
previous findings of Pineda (1997) and Mikes (2010), we propose that the western part of the Rioja trough in the Bureba area has been
recently captured by the Ebro drainage network, leading to a sequence of southwestward retreat of the main drainage divide toward the
Duero basin (Fig. 7e).</p>
      <p id="d1e694">A similar capture pattern can be observed further west in the continuity of the Bureba anticline (Fig. 5). The San
Anton River shows
a well-defined elbow of capture accompanied by a smoothed knickpoint (See Fig. S1 in the Supplement) at its junction with the Rudrón
River (Ebro tributary). The river course is highly incised toward the east, along the northern flank of the WNW–ESE anticline,
almost connecting to the upper reach of the Ubierna River. Valley deposits are also observed in the continuity of the Ubierna valley,
the former route of which is suggested by a wind gap (Fig. 5).  However, this domain is no longer connected to its network as it is now
wandered from the north by the Nava River, a tributary of the Moradillo River, which is a tributary of the Rudrón River. This domain
clearly records captures leading to divide migration toward the Duero, also in favor of the Ebro basin.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e699">Mean annual precipitation map for the study area (data from Hijmans et al., 2005).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e710"><bold>(a)</bold> Three-dimensional view of the DEM of the Bureba sector showing important contrast of incision between the Ebro and Duero basins
across their divide (red dashed line) and river capture evidence (elbows of capture, knickpoints, and wind gaps). <bold>(b)</bold> Google
Earth image around the locality of Hontomin where the Homino River is capturing the upper reach of the Jordan River. <bold>(c, d)</bold>
Wind gaps cut into the Bureba anticline (see location on <bold>a</bold>). Pictures have been taken from the north of this structure toward
the south. <bold>(e)</bold> Possible three steps of evolution of the southwestward divide retreat through multiple river captures witnessed
in the area.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f07.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e736">River long profiles for all the streams described in the Bureba area showing evidence of river capture. Colors are given to
rivers that are linked in these capture processes.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Past position of the Ebro–Duero divide and implication for stream power of the Duero River</title>
      <p id="d1e752">We used all observations that support divide migration in the Iberian Range and Rioja trough to estimate a paleo-position of the
drainage divide between the Duero and Ebro drainage basins (Fig. 9). For this purpose, we considered the location of major
knickpoints
along the rivers where fluvial captures are defined. Both the Ebro River and several tributaries show highly elevated <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>–20 <inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> long flat domains at <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">800</mml:mn></mml:mrow></mml:math></inline-formula>–1200 <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and major knickpoints in the upper reach of their long
profiles like the Rudrón, Queiles, and Alama rivers, as well as the Homino River and its tributaries: the Puerta Nogales and
Valdelanelala rivers (Figs. 5 and 8; Fig. S1). All these flat domains may not be related to surface uplift as they are not clearly
associated with active tectonic features. With the Duero basin being characterized by a high mean elevation (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) and by
a very limited incision in the vicinity of the Ebro–Duero drainage divide, a sudden divide migration toward the Duero basin is then
expected to isolate such highly elevated and relatively preserved surfaces. We suggest these flat domains have been recently captured by
Ebro tributaries, and represent remnants of Duero drainage areas, integrated into the Ebro catchment from divide retreat toward the
Duero basin. Overall, we consider a paleodrainage divide delimited by these high-elevated knickpoints and flat domains, except for the
Jiloca graben area to the southeast, characterized by the occurrence of short-lived endorheic domains (Fig. 9).</p>
      <p id="d1e821">Incision in the Ebro basin leads to the capture of new drainage areas, whereas the Duero basin recorded important loss of its own
surface. The present-day drainage area of the Cenozoic Duero basin, upstream of the major knickzone observed to the west in the Iberian
Massif, is <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">63</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. We used the paleo-divide position shown in Fig. 9 to define a “recent” captured area that
used to belong to the Duero basin.  This area represents <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7700</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, which corresponds to <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> % of the
present-day Cenozoic Duero basin drainage area. Such a reduction of the drainage area could have strong implications on the evolution
of the Duero basin, as important lowering of water and sediment fluxes, and so of incision throughout the basin. To better resolve the
impact of such drainage area reduction on incision capacity, we<?pagebreak page379?> perform a stream power analysis of the Duero River. We consider the
specific stream power, <inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>, defined as <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>g</mml:mi><mml:mi>Q</mml:mi><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is water density, <inline-formula><mml:math id="M54" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is gravitational acceleration,
<inline-formula><mml:math id="M55" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> is discharge, <inline-formula><mml:math id="M56" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> is local river gradient, and <inline-formula><mml:math id="M57" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula> is river width (see the Supplement for details of the calculation). We calculate
<inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> for the present-day Duero River, and for a restored ancient Duero River that drained this 12 % of lost area. We plot the
difference (ancient minus present day) between the two curves in Fig. 10, with the Duero River long profile. Calculated difference in
specific stream power values are relatively low (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for the upstream part of the basin, but increase to <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> when approaching the major knickzone at a distance of <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">350</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> from the river mouth. The knickzone is
characterized by peak values exceeding 10 <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which rapidly decrease to <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at the base of the
knickzone (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M69" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) and up to the river mouth (Fig. 10). Some alternating peak and null values are observed in the lower
reach of the river and may be related to the occurrence of numerous dams along the river. Overall, the specific stream power calculated
for the ancient Duero River shows higher values than for the present day from the base of the knickzone to the uppermost reach of the
river (Fig. 10).  This implies a general decrease in the Duero River's incision capacity between this ancient state to the present day,
magnified on the knickzone.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e1088">Topographic map showing the location of all the knickpoints and low-relief surfaces that may be associated with river
capture. The black dashed line represents a possible paleodrainage divide between the Ebro and Duero basins. The area between this
dashed line and the present-day location of the divide in red may have belonged to the Duero basin before being captured by the Ebro
basin.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f09.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e1100">Duero River long profile (black line) and difference in the specific stream power of the river (grey) calculated by
considering the paleo and present-day position of its divide. Positive values suggest a significant diminution of the incision
capacity of the Duero River, particularly along the knickzone of its longitudinal profile. Details on calculation are available in
the Supplement (Sect. S1).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p id="d1e1111">Topographic map with <inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values calculated on different opposite streams in the vicinity of the Ebro–Duero drainage
divide. This map shows significant contrasting values between the Ebro and Duero drainage networks.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://esurf.copernicus.org/articles/6/369/2018/esurf-6-369-2018-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <?xmltex \opttitle{$\chi$ map}?><title><inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> map</title>
      <p id="d1e1140">The comparison of the shape of longitudinal profiles of rivers across divide is a way to infer
disequilibrium between rivers and the potential migration of their divide that has been proposed recently (Willett et al., 2014).  The <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> analysis of river
profiles (Perron and Royden, 2012) is a powerful tool to evidence differences in the equilibrium state of rivers across divide, and
then to infer their migration (Willett et al., 2014).  This method is based on a coordinate transformation allowing linearizing river
profiles (Perron and Royden, 2012). Considering constant uplift rate (<inline-formula><mml:math id="M73" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) and erodibility (<inline-formula><mml:math id="M74" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula>) in time and space, the
<inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula>-transformed profile of a river is defined by the following equation (Perron and Royden, 2012; Mudd et al., 2014):

                <disp-formula id="Ch1.Ex1"><mml:math id="M76" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>z</mml:mi><mml:mfenced open="(" close=")"><mml:mi>x</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>U</mml:mi><mml:mrow><mml:mi>K</mml:mi><mml:msubsup><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn><mml:mi>m</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">χ</mml:mi></mml:mrow></mml:math></disp-formula>

          with

                <disp-formula id="Ch1.Ex2"><mml:math id="M77" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow><mml:mi>x</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:mfenced open="(" close=")"><mml:mi>x</mml:mi></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfrac><mml:mi>m</mml:mi><mml:mi>n</mml:mi></mml:mfrac></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the elevation of the channel, <inline-formula><mml:math id="M79" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is the longitudinal distance, <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the elevation at the river's base
level (distance <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M82" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the drainage area, <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a reference drainage area, and exponents <inline-formula><mml:math id="M84" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M85" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> are
empirical constants.</p>
      <p id="d1e1357">When using the <inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> variable instead of the distance for plotting the elevation <inline-formula><mml:math id="M87" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> along channel (<inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> plot), the longitudinal
profile of a steady-state channel is shown as a straight line (Perron and Royden, 2012).  Any channel pulled away from this line is in
disequilibrium and is then expected to attempt to reach equilibrium. Mapping <inline-formula><mml:math id="M89" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> on several watersheds and comparing <inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> across
drainage divides is then a potential way to high disequilibrium among rivers across divide and to elucidate divide migration and
drainage reorganization through captures (Willett et al., 2014).</p>
      <?pagebreak page381?><p id="d1e1395">We used the <inline-formula><mml:math id="M91" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula>-analysis tool developed by Mudd et al. (2014) to select the best <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula> ratio by iteration (Perron and Royden, 2012)
and to calculate <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> for rivers throughout the divide between the Ebro and Duero basins from a similar base level at
850 <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> The best mean <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula> ratio for all our streams is 0.425, which falls in the typical range of values observed for
rivers (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>–0.6; e.g., Kirby and Whipple, 2012). The resulting map (Fig. 11) shows <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values calculated on different
opposite streams in the vicinity of the Ebro–Duero drainage divide. Similar values on both sides of the divide suggest the two opposite
streams are at equilibrium, whereas strong contrasted <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values imply disequilibrium leading to divide migration, continuously or
through fluvial capture, toward the high <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values (Willett et al., 2014). The map of <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values actually shows significant
contrasting values across the Ebro–Duero divide. Here we comment on these contrasts along the divide from the SE to the NW of the area
considered (Fig. 11).</p>
      <p id="d1e1496">There is a strong contrast in <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values between the headwater of the Jalón River (Fig. 11), characterized by low values (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>), and the closest part from the divide of the Bordecorex River (Fig. 4), a tributary of the Duero River (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>). Such a disequilibrium implies divide migration toward the Duero basin, predicting the capture of the uppermost reach
of the Bordecorex River by the Jalón River. To the north, tributaries of the Jalón River show slightly lower <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values than the
tributaries of the Duero River. This suggests a relatively stable situation, although small captures may occur toward the Duero
basin. A higher contrast is observed around the easternmost part of the Duero basin, which is surrounded by the Ebro basin. The
Araviana River (tributary of the Duero River) seems to be taken in a bottleneck between the Manubles River to the south and the Queiles
River to the north (Fig. 4), which show both lower <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values (Fig. 11). Toward the east, there is a contrast of strongest <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values
among headwaters of the Araviana River (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">700</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M110" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) and of the Isuela (Jalón tributary) and Huecha rivers (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M112" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>).  This domain appears clearly in disequilibrium and is expected to be captured by the Ebro drainage network. Such high
<inline-formula><mml:math id="M113" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> value differences also appear to the northwest (Fig. 11), in the southern part of the Cameros basin where the Duero River and
its tributaries' headwaters show <inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula>–700 <inline-formula><mml:math id="M116" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>, whereas the facing rivers (Alama, Cidacos, Iregua, and
Najerilla) are all characterized by low <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>.  This<?pagebreak page382?> predicts important disequilibrium and divide migration
and fluvial captures toward the south. Northwestward, <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values between the Duero and Ebro networks are more similar, indicating that the
divide is relatively more stable here, up to the westernmost part of the Ebro basin (Fig. 11).  However, there are some slight
localized <inline-formula><mml:math id="M121" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> value contrasts (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) as observed between the Tirón and the Arlanzón rivers, between the
Rudrón and the Ubierna and Úrbel rivers, and between the Ebro and the Pisuerga rivers (Fig. 11). It suggests minor local captures
toward the Duero basin.</p>
      <p id="d1e1696">To sum up, <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values calculated in the vicinity of the drainage divide between the Ebro and Duero river networks show a general
disequilibrium (Fig. 11) as the Ebro network is characterized by low <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values (up to <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula>–300 <inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) compared to those
for the Duero network (up to <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula>–700 <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>). In complement with all the evidence of divide displacements induced by
captures described previously, this allows the prediction of a general divide migration toward the Duero basin through headwater retreat, in
favor of the Ebro tributaries, especially around the Almazán subbasin, which is expected to be entirely captured by the Ebro basin.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Long-term trend of divide migration</title>
      <p id="d1e1760">The oldest capture evidence in our study area corresponds to the incision of the northern part of the Iberian Range by the Jalón River
and by the capture of the Calatayud basin, attributed to the post-Messinian (Gutiérrez-Santolalla et al., 1996). We propose, based
on morphological evidence (Fig. 4) and in agreement with stratigraphic data (Gutiérrez-Santolalla et al., 1996), that the Jalón
river system captured the Jiloca graben to the east since the Early Pleistocene, before progressively capturing the Almazán subbasin
toward the west in the Holocene (Gutiérrez-Santolalla et al., 1996). From <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> analysis (Fig. 11), we deduce that the eastern
part of the Duero basin, the Almazán subbasin, is being actively captured by Ebro tributaries that drained the Iberian Range and the
Cameros basin. Despite low contrasts in <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> values, local captures are also suggested in the vicinity of the Ebro–Duero drainage
divide toward the northwest. Capture is further implied by the occurrence of numerous highly elevated (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) knickpoints
and low-relief surfaces (Figs. 5, 8, 9, and 11).</p>
      <p id="d1e1794">Thus, there is a good correlation between <inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> evidence and morphological and stratigraphic data implying long-lasting captures and
divide migration during Pliocene, Pleistocene, and Holocene times in favor of the Ebro basin.</p>
      <p id="d1e1804">The pursuit of such a long-term capture trend may be driven by tectonic and/or climatic forcing (Willett, 1999; Montgomery et al.,
2001; Sobel et al., 2003; Sobel and Strecker, 2003; Bonnet, 2009; Whipple, 2009; Castelltort et al., 2012; Kirby and Whipple, 2012;
Goren et al., 2015; Van der Beek et al., 2016). However, such a long-term trend in drainage reorganization may also occur in tectonically
quiescent domains, independent of external forcing (Prince et al., 2011). Here, the Iberian Range and the Cameros basin recorded
extension pulses from the late Miocene to the Early Pleistocene, responsible for the formation of several grabens as previously
described (Gutiérrez-Santolalla et al., 1996; Capote et al., 2002). Extension events are also recorded during the
Holocene;
nevertheless, the youngest erosion surface of late Pliocene–Early Pleistocene age observed in our study area shows no tectonic-related
deformation and reworking, suggesting that tectonic activity is reduced here (Gutiérrez-Elorza and Gracia, 1997). This is also
consistent with the relative scarcity of seismic activity observed in our study area, compared, for instance, to the Pyrenees, or to
the Betics (Herraiz et al., 2000; Lacan and Ortuño, 2012). We consequently propose that local tectonic activity is not the main
driver of the capture histories documented here, as most capture events postdate the cessation of tectonic activity and occur during
periods of quiescence (Gutiérrez-Santolalla et al., 1996).</p>
      <p id="d1e1807">The Cameros Massif is characterized by relatively high mean annual precipitation up to <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">an</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 6) with
high elevation (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1400</mml:mn></mml:mrow></mml:math></inline-formula>–2200 <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) in comparison with the surrounding areas. This contrasts with the adjacent Ebro and Duero
basins where low precipitation rates, of <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula>–500 <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">an</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Hijmans et al., 2005), illustrate subarid climate
conditions. The Cameros area is the only place in our study area where a contrast in precipitation pattern (Fig. 6) would potentially
drive a migration of the divide toward the drier, Duero area. Given that the same pattern is observed everywhere, even where there
is not any precipitation difference, we suggest that the present-day climatic condition is unlikely to control the general pattern of
current drainage reorganization between the Ebro and Duero basins. During the Pliocene and the Pleistocene, the climatic record in the
northern Iberia Peninsula is characterized by alternations between similar subarid conditions and intense glaciation. Paleoclimate
proxies do not allow us to highlight past precipitation differences along the divide that could explain past drainage
reorganization. Moreover, there is no clear evidence of important glacier development and related erosion in our study area, especially
for the Cameros basin and the Iberian Range (Ortigosa, 1994; García-Ruiz et al., 1998, 2016; Pellicer and
Echeverría, 2004). This indicates that drainage evolution between the Ebro and Duero basins is unlikely to be related to climatic
evolution.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Excavation of the Ebro basin as the main factor controlling divide migration and limiting incision of the Duero River</title>
      <p id="d1e1888">A striking morphological feature for river capture in our study area is the important contrast in the incision pattern (e.g., Fig. 1b)
from one side of the divide to the other. This suggests that the incision capacity of the river network is the main driver for capture
and divide migration. Both tectonic<?pagebreak page383?> and climatic forcing does not appear to control drainage reorganization between the Ebro and Duero
basins.</p>
      <p id="d1e1891">The opening of the Ebro basin toward the Mediterranean Sea during the late Miocene led to widespread excavation (Garcia-Castellanos
et al., 2003; Garcia-Castellanos and Larrasoaña, 2015), favored by more humid and seasonal climatic conditions (Calvo et al., 1993;
Alonso-Zarza and Calvo, 2000). By contrast, incision related to the opening of the Duero basin toward the Atlantic Ocean is
concentrated to the west in the Iberian Massif, characterized by a large-scale knickzone (150 <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> long and 500 <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> high) in
the Duero River long profile (Fig. 1b). This contrasts with the limited eastward propagation of incision in the Cenozoic part of the
basin (Antón et al., 2012, 2014), despite climatic conditions similar to the Ebro basin. An explanation resides in the fact that
the resistant Iberian Massif basement rocks may have controlled and limited incision and drainage reorganization in the Cenozoic Duero
basin (Antón et al., 2012). The Duero profile upstream of this major knickzone may be considered as a highly elevated local base
level for its tributaries there. The difference between the Ebro and Duero base levels implies a major contrast in fluvial dynamics. We
suggest that the systematic and long-term trend of divide migration toward the Duero basin and fluvial capture in favor of the Ebro basin is
driven by the differential incision behavior, controlled by base-level difference.</p>
      <p id="d1e1908">Our stream power analysis along the Duero River (Fig. 10) shows that the difference in drainage area of the Duero inferred from our
paleo-divide map (Fig. 9) induces a noticeable decrease in stream power values of the Duero in the vicinity of the knickzone. This
stream power is a minimum estimate because calculation does not take into account possible captures and divide migration in other areas
along the Duero basin divide, nor the full history of the divide migration through time and the related ongoing decrease in water
discharge as documented in laboratory-scale landscape experiments (Bonnet, 2009). Some contrasts of incision are also observed in the
Iberian Range along the southern border of the Duero, and in the Cantabrian domain to the north. Both show more important incision than
in the Duero basin, suggesting potential river captures and divide migration at the expense of the Duero basin, increasing the total of
lost drainage area. Even if it gives a minimal estimate, our stream power analysis suggests that drainage area reduction may have limited
the erosion in the Duero basin. This provides an explanation for the preservation of the lithologic barrier to the west, along the main
knickzone of the Duero considered as an intermediate, local base level (Antón et al., 2012).We propose that the reduction of the
Duero drainage area caused by captures and incision in the Ebro basin is responsible for a significant decrease in the incision
capacity in the Duero basin. We infer that the ongoing drainage network growth in the Ebro basin may be responsible for the current
preservation of large morphological relicts of the endorheic stage in the Duero basin.</p>
      <p id="d1e1911">The opening of the Ebro basin toward the Mediterranean Sea resulted in a drastic base level drop. This results in the establishment of
an upstream-migrating incision wave that propagates to every tributary of the Ebro network, responsible for knickpoint migration
(Schumm et al., 1987; Whipple and Tucker, 1999; Yanites et al., 2013) and for drainage reorganization and divide migration. The
<inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> analysis that we performed along the current Ebro–Duero divide (Fig. 11) highlights areas where geomorphic disequilibrium is
still ongoing, which suggests that they are areas where divide is currently mobile. The modeling study performed by Garcia-Castellanos
and Larrasoaña (2015) suggests that the re-opening of the Ebro basin occurred between 12.0 and 7.5 <inline-formula><mml:math id="M145" display="inline"><mml:mi mathvariant="normal">Ma</mml:mi></mml:math></inline-formula>. This indicates that
the growth of the drainage network of the Ebro basin and the establishment of new steady-state conditions is a long-lived phenomenon,
which is still not achieved today.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e1936">In this paper we present a morphometric analysis of the landscape along the divide between the Ebro and Duero drainage basins located
in the northern part of the Iberian Peninsula. This area shows abundant evidence of river captures by the Ebro drainage network
resulting in a long-lasting migration of their divide toward the Duero basin. Although these two basins record a similar geological
history, with a long endorheic stage during Oligocene and Miocene times, they show a very contrasted incision and preservation state of
their original endorheic morphology. Since the late Miocene, the Ebro basin has been opened to the Mediterranean Sea and recorded important
erosion. In contrast, the Duero has been opened to the Atlantic Ocean since the late Miocene–Early Pliocene but its longitudinal
profile exhibits a pronounced knickpoint, which delimits an upstream domain of low relief and limited incision, likely representing
a relict of its endorheic topography. We propose that this contrast of incision is the main driver of the migration of divide that we
document. The morphological analysis of rivers across the divide highlights areas where geomorphic disequilibrium is still ongoing,
which suggests that the Ebro–Duero divide is currently mobile. The quantification of the decrease in the drainage area of the Duero
based on the reconstruction of a paleo-position of the Ebro–Duero divide shows that the divide migration results in a significant
lowering of the stream power of the Duero River, particularly along its knickzone. We suggest that divide migration induces a decrease
in the incision capacity of the Duero River, thus favoring the preservation of large relicts of the endorheic morphology in the
upstream part of this basin.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e1943">No data sets were used in this article.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1946"><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/esurf-6-369-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/esurf-6-369-2018-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e1952">AV undertook morphometric modeling and interpretation, and wrote the paper.
SB and FM contributed to the interpretation and the writing.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e1958">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1964">This study was funded by the OROGEN project, a TOTAL-BRGM-CNRS consortium.
We thank the two reviewers and associated editor Veerle Vanacker for very useful
and constructive comments that greatly helped us to clarify and improve this
paper.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Veerle Vanacker<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Drainage reorganization and divide migration induced by the excavation of the Ebro basin (NE Spain)</article-title-html>
<abstract-html><p>Intracontinental endorheic basins are key elements of source-to-sink systems as they preserve sediments eroded from the surrounding
catchments. Drainage reorganization in such a basin in response to changing boundary conditions has strong implications on the
sediment routing system and on landscape evolution. The Ebro and Duero basins represent two foreland basins, which developed in
response to the growth of surrounding compressional orogens, the Pyrenees and the Cantabrian mountains to the north, the Iberian
Ranges to the south, and the Catalan Coastal Range to the east. They were once connected as endorheic basins in the early
Oligocene. By the end of the Miocene, new post-orogenic conditions led to the current setting in which the Ebro and Duero basins are
flowing in opposite directions, towards the Mediterranean Sea and the Atlantic Ocean. Although these two hydrographic basins recorded
a similar history, they are characterized by very different morphologic features. The Ebro basin is highly excavated, whereas relicts
of the endorheic stage are very well preserved in the Duero basin. The contrasting morphological preservation of the endorheic stage
represents an ideal natural laboratory to study the drivers (internal and/or external) of post-orogenic drainage divide mobility, drainage
network, and landscape evolution. To that aim, we use field and map observations and we apply the <i>χ</i> analysis of river profiles
along the divide between the Ebro and Duero drainage basins. We show here that the contrasting excavation of the Ebro and Duero
basins drives a reorganization of their drainage network through a series of captures, which resulted in the southwestward migration
of their main drainage divide. Fluvial captures have a strong impact on drainage areas, fluxes, and their respective incision
capacity. We conclude that drainage reorganization driven by the capture of the Duero basin rivers by the Ebro drainage system explains the
first-order preservation of endorheic stage remnants in the Duero basin, due to drainage area loss, independently from tectonics and
climate.</p></abstract-html>
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