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  <front>
    <journal-meta><journal-id journal-id-type="publisher">CP</journal-id><journal-title-group>
    <journal-title>Climate of the Past</journal-title>
    <abbrev-journal-title abbrev-type="publisher">CP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Clim. Past</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1814-9332</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/cp-20-1039-2024</article-id><title-group><article-title>Stable isotope evidence for long-term stability of large-scale hydroclimate in the Neogene North American Great Plains</article-title><alt-title>Stable isotope evidence for long-term stability of large-scale hydroclimate</alt-title>
      </title-group><?xmltex \runningtitle{Stable isotope evidence for long-term stability of large-scale hydroclimate}?><?xmltex \runningauthor{L. Manser et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Manser</surname><given-names>Livia</given-names></name>
          <email>livia.manser@alumni.ethz.ch</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kukla</surname><given-names>Tyler</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Rugenstein</surname><given-names>Jeremy K. C.</given-names></name>
          <email>jeremy.rugenstein@colostate.edu</email>
        <ext-link>https://orcid.org/0000-0003-4123-3305</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Earth Sciences, ETH Zürich, Zürich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geosciences, Colorado State University, Fort Collins, CO, USA</institution>
        </aff>
        <aff id="aff3"><label>🏅</label><institution><?xmltex \bgroup\itshape?>Invited contribution by Livia Manser, recipient of the EGU Climate: Past, Present &amp; Future <?xmltex \hack{\break}?>Outstanding Student Poster and PICO Award 2019.<?xmltex \egroup?></institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Livia Manser (livia.manser@alumni.ethz.ch) and Jeremy K. C. Rugenstein (jeremy.rugenstein@colostate.edu)</corresp></author-notes><pub-date><day>29</day><month>April</month><year>2024</year></pub-date>
      
      <volume>20</volume>
      <issue>4</issue>
      <fpage>1039</fpage><lpage>1065</lpage>
      <history>
        <date date-type="received"><day>10</day><month>September</month><year>2023</year></date>
           <date date-type="rev-request"><day>28</day><month>September</month><year>2023</year></date>
           <date date-type="rev-recd"><day>1</day><month>February</month><year>2024</year></date>
           <date date-type="accepted"><day>14</day><month>March</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2024 Livia Manser et al.</copyright-statement>
        <copyright-year>2024</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://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024.html">This article is available from https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e116">The Great Plains of North America host a stark climatic gradient, separating the humid and well-watered eastern US from the semi-arid and arid western US, and this gradient shapes the region's water availability, its ecosystems, and its economies. This climatic boundary is largely set by the influence of two competing atmospheric circulation systems that meet over the Great Plains – the wintertime westerlies bring dominantly dry air that gives way to moist, southerly air transported by the Great Plains low-level jet in the warmer months. Climate model simulations suggest that, as CO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rises, this low-level jet will strengthen, leading to greater precipitation in the spring but less in the summer and, thus, no change in mean annual precipitation. Combined with rising temperatures that will increase potential evapotranspiration, semi-arid conditions will shift eastward, with potentially large consequences for the ecosystems and inhabitants of the Great Plains. We examine how hydroclimate in the Great Plains varied in the past in response to warmer global climate by studying the paleoclimate record within the Ogallala Formation, which underlies nearly the entire Great Plains and provides a spatially resolved record of hydroclimate during the globally warmer late Miocene. We use the stable isotopes of oxygen (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O) as preserved in authigenic carbonates hosted within the abundant paleosol and fluvial successions that comprise the Ogallala Formation as a record of past hydroclimate. Today, and coincident with the modern aridity gradient, there is a sharp meteoric water <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient with high (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M5" display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> ‰) <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in the southern Great Plains and low (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> ‰) <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in the northern plains. We find that the spatial pattern of reconstructed late Miocene precipitation <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O is indistinguishable from the spatial pattern of modern meteoric water <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. We use a recently developed vapor transport model to demonstrate that this <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O spatial pattern requires air mass mixing over the Great Plains between dry westerly and moist southerly air masses in the late Miocene – consistent with today. Our results suggest that the spatial extents of these two atmospheric circulation systems have been largely unchanged since the late Miocene and any strengthening of the Great Plains low-level jet in response to warming has been isotopically masked by proportional increases in westerly moisture delivery. Our results hold implications for the sensitivity of Great Plains climate to changes in global temperature and CO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and also for our understanding of the processes that drove Ogallala Formation deposition in the late Miocene.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>ETH Zürich Foundation</funding-source>
<award-id>0-20282-17</award-id>
<award-id>0-20435-18</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Alexander von Humboldt-Stiftung</funding-source>
<award-id>n/a</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Directorate for Geosciences</funding-source>
<award-id>EAR-2202916</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e262">The Great Plains of North America rise slowly in elevation from the wooded lowlands near sea level west of the Mississippi River to the greater than 4 km high “purple mountain majesties above the fruited plain” <xref ref-type="bibr" rid="bib1.bibx5" id="paren.1"/> that comprise the North American Cordillera. Though this region contains some of the flattest landscapes in the United States <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx30" id="paren.2"/>, these plains belie a remarkable climatic setting and geologic history which have conspired to shape the modern-day<?pagebreak page1040?> water resources, ecosystems, and economies of the Plains region. Boreal spring heralds the onset of the Great Plains low-level jet (GPLLJ), a primarily nocturnal, southerly jet responsible for transporting more than 30 % of the water vapor that enters the continental US every year <xref ref-type="bibr" rid="bib1.bibx58" id="paren.3"/>. Interactions between the GPLLJ and midlatitude storm systems yield some of the largest and most intense convective systems on the planet <xref ref-type="bibr" rid="bib1.bibx142" id="paren.4"/>. These spring and summertime rains nurture the vast grasslands of the Plains, which return this moisture to the atmosphere via transpiration, often seeding additional precipitation on subsequent days and resulting in one of the tightest couplings between land and atmosphere anywhere on Earth <xref ref-type="bibr" rid="bib1.bibx81" id="paren.5"/>. On multi-annual timescales, these same interactions – modified by long-term climatic oscillations such as the El Niño–Southern Oscillation or the North Atlantic Oscillation – are the proximal cause for the extensive floods and deep droughts that frequent this region <xref ref-type="bibr" rid="bib1.bibx18" id="paren.6"/>, perhaps best exemplified by the 1930s Dust Bowl <xref ref-type="bibr" rid="bib1.bibx127" id="paren.7"/>, an event which reshaped American governance and society and has been labeled the worst environmental catastrophe in US history <xref ref-type="bibr" rid="bib1.bibx34" id="paren.8"/>.</p>
      <p id="d1e290">Climatically, the Great Plains are characterized by a sharp aridity gradient with a more humid climate to the east and a more arid climate to the west (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). This aridity gradient spans the 100th meridian and marks a dramatic change in the long-term patterns of precipitation, vegetation, and, consequently,  agriculture and human development <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx118 bib1.bibx161 bib1.bibx130" id="paren.9"/>. A convenient measure of aridity is the aridity index (AI), which is the ratio of precipitation (<inline-formula><mml:math id="M14" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) to potential evapotranspiration (PET): conditions are considered arid – or water-limited – if <inline-formula><mml:math id="M15" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> PET is less than 1. The Great Plains today straddle the transition between the wet, eastern US (AI <inline-formula><mml:math id="M17" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1) and the water-limited western US (AI <inline-formula><mml:math id="M18" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1) <xref ref-type="bibr" rid="bib1.bibx130" id="paren.10"/>. Consequently, regions to the east are more densely populated and farms rely on rainfed agricultural practices; to the west, settlement is more limited and agriculture relies extensively on groundwater withdrawals or irrigation diversions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e339"><bold>(a)</bold> Extent of the continuous Ogallala Formation (thick black outline), with new sites presented in this study (squares) and sites compiled from the PATCH Lab (circles) <xref ref-type="bibr" rid="bib1.bibx84" id="paren.11"/>. Shading is elevation (m). <bold>(b)</bold> Map of average annual precipitation (mm) from the Global Precipitation Climatology Project <xref ref-type="bibr" rid="bib1.bibx105" id="paren.12"/>. <bold>(c)</bold> Aridity index (AI), which is calculated as <inline-formula><mml:math id="M19" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> PET. <inline-formula><mml:math id="M21" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> as in panel <bold>(b)</bold>; PET is from the Global Land Evaporation Amsterdam Model (GLEAM) <xref ref-type="bibr" rid="bib1.bibx106 bib1.bibx99" id="paren.13"/>. <bold>(d)</bold> Interpolated distribution of <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of modern meteoric waters, derived from rivers and streams, groundwater, tap water, spring water, and precipitation <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O measurements and compiled from Waterisotopes.org  <xref ref-type="bibr" rid="bib1.bibx160" id="paren.14"/>. Thick black outline in all panels is the areal extent of the continuous Ogallala Formation.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f01.png"/>

      </fig>

      <p id="d1e420">This groundwater – sourced from the Ogallala Aquifer (black polygon outlined in Fig. <xref ref-type="fig" rid="Ch1.F1"/>) and replenished by spring and summertime rains – is hosted in the Ogallala Formation, a nearly continuous formation that underlies the Plains from southwest Texas and southeast New Mexico into the southern part of South Dakota, making it one of the largest and most laterally continuous sedimentary formations in North America. Comprised of sediments shed off the Rockies, the Ogallala Formation has been interpreted as a series of alluvial or telescoping megafans <xref ref-type="bibr" rid="bib1.bibx131 bib1.bibx164 bib1.bibx79" id="paren.15"/> that prograded towards the east and completely buried the pre-existing erosional landscape that, in the southern Great Plains, is cut into Triassic and Permian bedrock, and, in the northern Great Plains, lies on the White River or Arikaree Group. In places, the Ogallala Formation is overlain by alluvial and/or eolian deposits, and, particularly in the southern Great Plains, there is frequently a prominent calcium carbonate caprock that separates the Ogallala from overlying sedimentary units <xref ref-type="bibr" rid="bib1.bibx56" id="paren.16"/>. Deposition began in the middle Miocene and ended in the late Miocene or earliest Pliocene. However, precisely why the Great Plains experienced a prolonged period of deposition, followed by a period of incision that continues to the present day, remains uncertain, with most studies attributing this period of deposition to dynamic topography effects associated with the passage of the Farallon Plate beneath the Great Plains <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx71 bib1.bibx164" id="paren.17"/>.</p>
      <p id="d1e434">During this time, substantial ecological changes occurred, largely yielding the pre-anthropogenic landscape that characterized the Quaternary Great Plains. Though grasslands were likely present before the middle Miocene, they continued expanding throughout the Plains during the cooling following the peak of mid-Miocene warmth <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx146 bib1.bibx147" id="paren.18"/>. These predominantly C<sub>3</sub> grasslands were progressively replaced by C<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> grasslands starting in the latest Miocene and continuing through the Pliocene <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx42" id="paren.19"/>. Largely coincident with these changes, large mammal diversity  gradually declined on the Plains from its peak during the middle Miocene to a relative low in the Quaternary <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx45" id="paren.20"/>. Since cessation of Ogallala deposition, a combination of base-level fall and uplift along the Front Range led to incision of the major Plains rivers through the Ogallala Formation <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx33" id="paren.21"/>, leaving the former Ogallala landscape abandoned and perched above the major Plains valleys <xref ref-type="bibr" rid="bib1.bibx164" id="paren.22"/>. Today, much of the Ogallala Formation is visible as a prominent escarpment protected by the indurated nature of its many calcic-rich sediments; dotting much of the length of this escarpment are wind turbines powered, to no small extent, by the exceptionally predictable and windy Great Plains low-level jet.</p>
      <p id="d1e465">This combination of climate and geology has helped to promote development and agriculture on the Plains, with Ogallala Aquifer water supplying any deficit due to insufficient rainfall. However, the aquifer remains critically overdrawn in many places; further, anthropogenically driven increases in atmospheric CO<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and associated changes in global climate may affect water availability on the Plains. Indeed, this area appears to be exceptionally sensitive to even small changes in climate and land cover due to the tight coupling between land and atmosphere in this region <xref ref-type="bibr" rid="bib1.bibx81 bib1.bibx29 bib1.bibx86" id="paren.23"/>. Thus, small changes in precipitation and/or PET may shift the precise location of the “climatological 100th meridian” (i.e., the approximate location of the boundary between arid and wet ecosystems) with important consequences for ecosystems and agricultural systems. Further, global climate model (GCM) simulations tend to predict only a small change in summer precipitation, though a large shift in the<?pagebreak page1041?> seasonality of that precipitation is driven by dynamical shifts in the westerly jet and the GPLLJ <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx15 bib1.bibx171" id="paren.24"/>. Combined with rising temperatures, this negligible change in summer precipitation implies that the arid conditions characteristic of the western Great Plains may expand eastward with global warming as increases in PET outpace increases in <inline-formula><mml:math id="M26" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> over the Plains <xref ref-type="bibr" rid="bib1.bibx130 bib1.bibx115" id="paren.25"/>. However, models still struggle to properly simulate the GPLLJ and its associated precipitation-bearing convective systems. Changes in the interactions between vegetation, soil moisture, and rainfall at higher atmospheric CO<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> remain similarly difficult to model <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx171" id="paren.26"/>. Further, paleoclimate data indicate that, in general, warmer periods have actually been wetter and/or greener <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx17 bib1.bibx65 bib1.bibx37" id="paren.27"/>, in conflict with many model predictions of drier future conditions <xref ref-type="bibr" rid="bib1.bibx124" id="paren.28"><named-content content-type="pre">e.g.,</named-content></xref>. As a consequence, there is substantial uncertainty regarding how aridity on the Plains – and the interactions between the GPLLJ, precipitation, and vegetation – will change as atmospheric CO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rises and global temperature increases.</p>
      <?pagebreak page1042?><p id="d1e523">In this contribution, we take advantage of the remarkable spatial extent of Neogene sediments afforded by the Ogallala Formation to understand how changes in global climate impacted the Plains during periods of higher atmospheric CO<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and warmer global temperatures. Mid-Miocene global temperatures were 7–8 °C warmer than today and atmospheric CO<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels were around 500 ppm or higher <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx145 bib1.bibx24" id="paren.29"/>. Since the mid-Miocene, temperature and atmospheric CO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> have gradually declined, establishing the bipolar glaciation that characterizes Quaternary climate. The Neogene therefore provides an opportunity to answer the question of how aridity has changed on the Plains and whether the climatological 100th meridian shifted eastward in the past as global climate models suggest for the future. The spatial extent of the Ogallala also permits us to examine the mechanisms by which any shifts in aridity may have occurred due to, for example, shifts in the distribution of precipitation as a result of strengthening or weakening of the GPLLJ in a warmer climate. Further, any shifts in climate may point towards the mechanisms that generated the sediment that formed the Ogallala Formation, permitting distinctions between climatically or tectonically controlled generation of the Ogallala Formation <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx170" id="paren.30"><named-content content-type="pre">i.e.,</named-content></xref>.</p>
      <p id="d1e561">To answer these questions, we rely on the stable isotopes of authigenic carbonates – a material that is particularly abundant within the fluvial and paleosol facies of the Ogallala Formation and which is thought to record precipitation <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. Precipitation oxygen isotopes (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>) are sensitive to the moisture source and rainout history of air masses that reach a given location. Because of this sensitivity, spatially resolved datasets of carbonate oxygen isotopes (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>) interpreted to track <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> have been successfully used to constrain how large-scale hydroclimate has changed in response to atmospheric and orographic forcing through time <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx107 bib1.bibx100 bib1.bibx77 bib1.bibx21 bib1.bibx23" id="paren.31"/>. The Plains today host a steep <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient oriented NE–SW that roughly tracks, but is somewhat oblique to, the aridity gradient at the 100th meridian (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c). Given this concurrence, we hypothesize that the Ogallala authigenic carbonate <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> record over space and time will reflect changes in the large-scale hydroclimate and aridity over the Great Plains. In the following sections, we explain how <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O can be used to track hydroclimate and our approach to sampling and to building a spatially extensive dataset. We then investigate the climatic drivers behind the modern <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient over the Plains and compare this to reconstructed maps of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> during Ogallala deposition. Lastly, we apply a recently developed reactive transport model to quantitatively assess our observations of <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and how these data relate to overall hydroclimate on the Plains. We find that large-scale atmospheric circulation and the position of the climatological 100th meridian have been remarkably stable, despite correspondingly large changes in global climate since the late Miocene.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Background</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Modern hydroclimate of the North American Great Plains</title>
      <p id="d1e751">Spring and summer precipitation in the Great Plains overwhelmingly originates from the Gulf of Mexico, where the Bermuda High drives southeasterly flow while a high-pressure system over the Great Basin effectively blocks Pacific moisture. The combination of these two high-pressure systems creates the conditions for the Great Plains low-level jet, which carries moisture deep into the interior of the North American continent <xref ref-type="bibr" rid="bib1.bibx58" id="paren.32"/>. Though the precise mechanisms that generate the GPLLJ are complex <xref ref-type="bibr" rid="bib1.bibx132" id="paren.33"><named-content content-type="pre">see</named-content></xref>, critically for our purposes, both the existence of the high topography of the North American Cordillera and the east–west-sloping terrain of the Great Plains appear crucial for generating and maintaining a low-level jet over the Plains. For example, in model simulations where cordillera topography is removed, the GPLLJ is weakened or non-existent <xref ref-type="bibr" rid="bib1.bibx156 bib1.bibx69" id="paren.34"/>. During winter, the GPLLJ is inactive and precipitation originates largely from the Pacific Ocean due to storms routed by the midlatitude westerly jet. These wintertime storms traverse the wide expanse of topography that comprises the North American Cordillera – including ranges such as the Sierra Nevada, Cascades, and Wasatch – which removes moisture from these midlatitude cyclones. Consequently, precipitation across the Plains typically occurs during interaction with cold Arctic air masses that can penetrate as far south as the southern Great Plains <xref ref-type="bibr" rid="bib1.bibx112 bib1.bibx13" id="paren.35"/>. Thus, the combination of topography with atmospheric circulation generates much of the seasonal precipitation pattern that prevails today over the Great Plains.</p>
      <p id="d1e768">The position of the 100th meridian aridity boundary is shaped by the relative strength of these two circulation systems <xref ref-type="bibr" rid="bib1.bibx130" id="paren.36"/>, yielding a sharp humidity gradient that approximately coincides with the boundary between southerly maritime Gulf of Mexico air and dry continental air <xref ref-type="bibr" rid="bib1.bibx63" id="paren.37"/>. On an interannual basis, this boundary can shift depending upon the strength of the midlatitude westerlies relative to the GPLLJ; with increasing westerly wind strength, for example, the 100th meridian shifts east <xref ref-type="bibr" rid="bib1.bibx63" id="paren.38"/>. On longer timescales, winter aridity and weaker westerlies have been linked to grassland expansion and forest dieback in the Great Plains in the early Miocene <xref ref-type="bibr" rid="bib1.bibx85" id="paren.39"/>. Besides these two large-scale atmospheric systems, several other factors determine the location and orientation of the sharp aridity gradient that characterizes the Great Plains today <xref ref-type="bibr" rid="bib1.bibx130" id="paren.40"/>. First, evapotranspiration of water from the land surface to the atmosphere is critical in determining precipitation. For example, return of water to the atmosphere from the land surface (largely through transpiration) may supply up to 40 % of the precipitation in the Great Plains during spring and summer <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx158" id="paren.41"/>. The importance of the land surface may be further enhanced by the widespread grasslands that populate the Plains landscape. Grasses can much more rapidly modify their stomatal conductance and, hence, total transpiration than can trees and shrubs to take advantage of periodic rainstorms <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx62" id="paren.42"/>. Such rapid water use leads to higher recycling rates of water from the land surface back to the atmosphere. As a consequence, the spread of grasslands onto the Plains during the Miocene has been hypothesized to have fundamentally increased the recycling of water between the land surface and the atmosphere <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx27" id="paren.43"/>.</p>
      <p id="d1e796">Model simulations project distinct changes in precipitation and hydroclimate associated with dynamical and thermodynamic responses to warming. GCMs and regional climate models robustly predict that precipitation seasonality will shift from the summer to the spring <xref ref-type="bibr" rid="bib1.bibx28" id="paren.44"/>. As global temperatures rise, the westerly jet shifts poleward,<?pagebreak page1043?> permitting a stronger and more northerly GPLLJ, producing more precipitation in the late spring <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx171" id="paren.45"/>. In contrast, the continued northward shift of the GPLLJ as summer progresses weakens the jet over the Great Plains, leading to enhanced late summer drying <xref ref-type="bibr" rid="bib1.bibx171" id="paren.46"/>. Despite this shift in the timing of the wet season, mean annual precipitation is not expected to change <xref ref-type="bibr" rid="bib1.bibx15" id="paren.47"/>. With  constant mean annual precipitation, the increase in PET owed to rising temperatures will decrease the AI and shift the climatological 100th meridian eastward <xref ref-type="bibr" rid="bib1.bibx129" id="paren.48"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Precipitation oxygen isotopes reflect this hydroclimatic pattern</title>
      <p id="d1e822">This annual mixing between the GPLLJ and the westerlies results in a steep spatial gradient in precipitation <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O mostly due to the differences in topography traversed by each air mass <xref ref-type="bibr" rid="bib1.bibx74" id="paren.49"/>. Mountain ranges tend to increase the net loss of moisture from an air mass, preferentially removing <inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O and decreasing <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx116 bib1.bibx168 bib1.bibx109 bib1.bibx83" id="paren.50"/>. Thus, precipitation derived from the westerlies has low <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values by the time it reaches the Great Plains. In contrast, GPLLJ moisture, which has not traversed major topographic barriers and is augmented by a high degree of evapotranspiration that replenishes the GPLLJ, is about 10 ‰ higher than equivalent westerly moisture <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx168" id="paren.51"/>. The aridity gradient, which depends on the relative contributions of westerly vs GPLLJ moisture, is therefore encoded in the value of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> across the Great Plains, which can generally be understood as the precipitation-weighted average of the end-member sources. This precipitation <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O signal is captured by authigenic carbonates but is further modified by both the temperature of carbonate formation and other potentially spatially variable factors associated with mineral formation, such as differences in precipitation seasonality and evaporation <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx19 bib1.bibx64 bib1.bibx72 bib1.bibx73" id="paren.52"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Geological setting and sampling approach</title>
      <p id="d1e930">The sediments of the Ogallala Formation originate from the Rocky Mountains, and eroded material from the Miocene Rockies was transported by braided, high-energy, ephemeral streams and eolian processes across the Plains <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx136 bib1.bibx80" id="paren.53"/>. The result was the Ogallala Formation, which spans from South Dakota to southern Texas (black outline in Fig. 1). Though the headwaters of these rivers and fans have since been eroded away, except in southern Wyoming, discontinuous remnants of the Ogallala have been mapped nearly up to their sources in eastern New Mexico <xref ref-type="bibr" rid="bib1.bibx47" id="paren.54"/>. Consisting of gravel, sand, silt, and clay deposits, the Ogallala Formation also contains abundant calcic paleosols and calcic-rich sediments distributed throughout the formation and across the entire N–S extent of the formation <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx70 bib1.bibx137 bib1.bibx136" id="paren.55"/>. The Ogallala Formation in the southern Great Plains unconformably overlies Permian through Cretaceous strata <xref ref-type="bibr" rid="bib1.bibx55" id="paren.56"/>. In the northern Great Plains, the Ogallala Formation is underlain by the late Oligocene to early Miocene Arikaree Group and the White River Group, upper Eocene to Oligocene in age. Chronostratigraphy of the Ogallala Formation is based on fossil vertebrate faunas of Barstovian to Hemphillian North American land mammal ages (NALMAs) and scattered volcanic ash beds and basalt flows <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx92 bib1.bibx46 bib1.bibx155 bib1.bibx165 bib1.bibx128 bib1.bibx150 bib1.bibx54 bib1.bibx153 bib1.bibx154 bib1.bibx25 bib1.bibx137 bib1.bibx139" id="paren.57"/>. Due to the nature of the largely fluvial and eolian deposits, the Ogallala exhibits substantial heterogeneity north to south. Consequently, different workers have classified the Ogallala Formation as a group (in the northern Great Plains) <xref ref-type="bibr" rid="bib1.bibx154" id="paren.58"/> or as a formation, primarily in Kansas and to the south <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx96" id="paren.59"/>. Herein, we refer to the Ogallala exclusively as a formation. However, in the northern Great Plains, there are further distinct formations such as the Valentine, Ash Hollow, and Olcott formations <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx138" id="paren.60"/>, each with defined age constraints based upon biostratigraphy and ashes <xref ref-type="bibr" rid="bib1.bibx154" id="paren.61"/>. In the southern Great Plains, previous workers have proposed elevating the Ogallala Formation to group status based upon subdividing the Ogallala into the Bridwell and Couch formations <xref ref-type="bibr" rid="bib1.bibx165 bib1.bibx56" id="paren.62"/>. However, in the southern Great Plains, we adopt the terminology of  <xref ref-type="bibr" rid="bib1.bibx54" id="text.63"/>, who concluded that these formations are difficult to map and contain little dateable material, suggesting that the Ogallala remain with formation status.  The thickness of Ogallala sediments generally varies relative to the underlying topography between 250 m, in regions where it fills paleovalleys, and 10–30 m in the interfluves between paleovalleys <xref ref-type="bibr" rid="bib1.bibx55" id="paren.64"/>. In the southern Great Plains, there is frequently an erosion-resistant caliche or caprock calcrete that separates the Ogallala Formation from the predominantly eolian Plio-Pleistocene Blackwater Draw Formation and, locally, the lacustrine Blanco Formation <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx55" id="paren.65"/>. These caliche caprocks are thought to have developed during one or multiple periods of extended landscape stability and likely record a multi-genetic history <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx60" id="paren.66"/>. In contrast, in the northern Great Plains, the Ogallala Formation is overlain by several high-energy deposits, including the Crooked Creek Formation in Kansas and the Broadwater Formation in Nebraska <xref ref-type="bibr" rid="bib1.bibx149" id="paren.67"/>.</p>
      <?pagebreak page1044?><p id="d1e980">To capture spatial changes in precipitation <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O – and hence shifts in the aridity gradient – we collected samples spanning nearly the entire N–S and E–W extent of the Ogallala Formation from paleosol authigenic carbonate material to reconstruct paleo-precipitation <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. We build upon previous work <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx42" id="paren.68"/> that developed a spatially extensive dataset of paleosol carbonate isotopes, collected primarily to understand changes in C<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> vegetation during the late Miocene. We build upon these datasets, focusing on filling gaps in the southern and southwestern Great Plains (Texas and New Mexico), while also contributing additional data in the central and northern Great Plains.</p>
      <p id="d1e1026">Though the Ogallala Formation provides an unparalleled opportunity to collect spatially extensive <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data, the precise chronology of Ogallala deposition remains uncertain. In many places, specific formations have been dated using biostratigraphy and radiometrically dated ashes <xref ref-type="bibr" rid="bib1.bibx154" id="paren.69"/>; however, in many other places, particularly those Ogallala outcrops to the west and disconnected from the primary exposure of the Ogallala, temporal constraints are provided by lithologic correlations <xref ref-type="bibr" rid="bib1.bibx47" id="paren.70"/>. Even in the formations which have been dated using biostratigraphy, the age constraints are relatively broad, typically limited by the precision of the North American land mammal ages. Lastly, the relatively thin veneer of Ogallala sedimentation combined with the potentially long time span covered by deposition suggests that there are frequent and temporally extensive unconformities within many sections <xref ref-type="bibr" rid="bib1.bibx136" id="paren.71"/>. As a consequence, it remains difficult to correlate sections across the large expanse of the Great Plains.</p>
      <p id="d1e1058">For the purposes of our study, we use the published age constraints (Table <xref ref-type="table" rid="Ch1.T1"/>) either from the study that originally analyzed the sampled section in detail or from later publications that provide a more precise age. Because we are only interested in broadly comparing samples spatially, we treat all samples in a given section as having the same age. We bound this age by considering the maximum possible age range for the given formation, which is either the Ogallala Formation or, in the northern Great Plains, one of the formations within the Ogallala Group. For example, in locations where we sample well-defined and dated subdivisions of the Ogallala Group (for example, samples from the Ash Hollow Formation at Lake McConaughy State Recreation Area in Nebraska; <xref ref-type="bibr" rid="bib1.bibx70" id="altparen.72"/>), we consider our sample ages to be bound by the full age range of the formation. In other cases, we know only that our data lie above or below a certain dated ash (for example, samples from Wildcat Bluff Nature Center in Texas; <xref ref-type="bibr" rid="bib1.bibx25" id="altparen.73"/>), and therefore one bound on the age is provided by the dated material. In some cases, the sampled unit has only been correlated with the Ogallala Formation and there are no other age constraints to narrow the large possible range of ages. We therefore adopt the full possible range of ages given the identification of the unit as the Ogallala Formation. For example, for many sections in New Mexico, Ogallala outcrops have been identified by lithologic or geomorphic correlation with the contiguous body of the Ogallala Formation to the east, but no dateable material has been recovered <xref ref-type="bibr" rid="bib1.bibx47" id="paren.74"/>. Despite these broad age constraints, we find that our results are not sensitive to the uncertainty in our correlations or to the precise chronology of Ogallala deposition because <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> is largely invariant within any given section.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1097">Site-averaged data. Values of <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C are reported in ‰ relative to VPDB. Values of <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O are reported in ‰ relative to VSMOW. <inline-formula><mml:math id="M66" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the number of samples collected from the site. Mean annual temperature data are retrieved from NARR <xref ref-type="bibr" rid="bib1.bibx104" id="paren.75"/>.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.83}[.83]?><oasis:tgroup cols="14">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="justify" colwidth="4.5cm"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Lat</oasis:entry>
         <oasis:entry colname="col2">Long</oasis:entry>
         <oasis:entry colname="col3">ID</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col10">Bottom age</oasis:entry>
         <oasis:entry colname="col11">Top age</oasis:entry>
         <oasis:entry colname="col12">MAT</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M75" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col14">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(°N)</oasis:entry>
         <oasis:entry colname="col2">(°E)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">range</oasis:entry>
         <oasis:entry colname="col10">(Ma)</oasis:entry>
         <oasis:entry colname="col11">(Ma)</oasis:entry>
         <oasis:entry colname="col12">(°C)</oasis:entry>
         <oasis:entry colname="col13"/>
         <oasis:entry colname="col14"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.91</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.45</oasis:entry>
         <oasis:entry colname="col3">BV</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.64</oasis:entry>
         <oasis:entry colname="col5">1.86</oasis:entry>
         <oasis:entry colname="col6">25.36</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M80" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.15</oasis:entry>
         <oasis:entry colname="col8">0.45</oasis:entry>
         <oasis:entry colname="col9">1.80</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">15.35</oasis:entry>
         <oasis:entry colname="col13">18</oasis:entry>
         <oasis:entry colname="col14">Gustavson (1996)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">40.98</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M81" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.47</oasis:entry>
         <oasis:entry colname="col3">CB1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.69</oasis:entry>
         <oasis:entry colname="col5">0.36</oasis:entry>
         <oasis:entry colname="col6">21.86</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.70</oasis:entry>
         <oasis:entry colname="col8">0.67</oasis:entry>
         <oasis:entry colname="col9">2.78</oasis:entry>
         <oasis:entry colname="col10">31.8</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">10.91</oasis:entry>
         <oasis:entry colname="col13">22</oasis:entry>
         <oasis:entry colname="col14">Galbreath (1953); <?xmltex \hack{\hfill\break}?>Tedford (1999); Tedford et al. <?xmltex \hack{\hfill\break}?>(2004)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">40.92</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.29</oasis:entry>
         <oasis:entry colname="col3">CB2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M85" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.27</oasis:entry>
         <oasis:entry colname="col5">0.18</oasis:entry>
         <oasis:entry colname="col6">22.72</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.82</oasis:entry>
         <oasis:entry colname="col8">0.59</oasis:entry>
         <oasis:entry colname="col9">1.23</oasis:entry>
         <oasis:entry colname="col10">31.8</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">10.99</oasis:entry>
         <oasis:entry colname="col13">5</oasis:entry>
         <oasis:entry colname="col14">Galbreath (1953); <?xmltex \hack{\hfill\break}?>Tedford (1999); Tedford et al. <?xmltex \hack{\hfill\break}?>(2004)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.45</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.11</oasis:entry>
         <oasis:entry colname="col3">CC</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.34</oasis:entry>
         <oasis:entry colname="col5">0.75</oasis:entry>
         <oasis:entry colname="col6">26.29</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.85</oasis:entry>
         <oasis:entry colname="col8">0.31</oasis:entry>
         <oasis:entry colname="col9">1.04</oasis:entry>
         <oasis:entry colname="col10">11.6</oasis:entry>
         <oasis:entry colname="col11">7.6</oasis:entry>
         <oasis:entry colname="col12">16.92</oasis:entry>
         <oasis:entry colname="col13">17</oasis:entry>
         <oasis:entry colname="col14">Lehmann and Schnable (1992)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">36.57</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.30</oasis:entry>
         <oasis:entry colname="col3">CLSP</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.63</oasis:entry>
         <oasis:entry colname="col5">0.64</oasis:entry>
         <oasis:entry colname="col6">24.98</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.07</oasis:entry>
         <oasis:entry colname="col8">0.11</oasis:entry>
         <oasis:entry colname="col9">0.23</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">13.08</oasis:entry>
         <oasis:entry colname="col13">3</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">33.41</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M93" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.75</oasis:entry>
         <oasis:entry colname="col3">CP</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.18</oasis:entry>
         <oasis:entry colname="col5">1.55</oasis:entry>
         <oasis:entry colname="col6">25.26</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.91</oasis:entry>
         <oasis:entry colname="col8">1.24</oasis:entry>
         <oasis:entry colname="col9">3.53</oasis:entry>
         <oasis:entry colname="col10">13.6</oasis:entry>
         <oasis:entry colname="col11">10.3</oasis:entry>
         <oasis:entry colname="col12">16.83</oasis:entry>
         <oasis:entry colname="col13">13</oasis:entry>
         <oasis:entry colname="col14">Henry (2017)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">38.64</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100.91</oasis:entry>
         <oasis:entry colname="col3">DB</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M97" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.01</oasis:entry>
         <oasis:entry colname="col5">0.56</oasis:entry>
         <oasis:entry colname="col6">23.91</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.08</oasis:entry>
         <oasis:entry colname="col8">0.47</oasis:entry>
         <oasis:entry colname="col9">1.90</oasis:entry>
         <oasis:entry colname="col10">11.4</oasis:entry>
         <oasis:entry colname="col11">7.5</oasis:entry>
         <oasis:entry colname="col12">13.28</oasis:entry>
         <oasis:entry colname="col13">19</oasis:entry>
         <oasis:entry colname="col14">Smith et al. (2011), (2016)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">33.75</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104.58</oasis:entry>
         <oasis:entry colname="col3">EPB</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M100" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.00</oasis:entry>
         <oasis:entry colname="col5">0.71</oasis:entry>
         <oasis:entry colname="col6">25.13</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.91</oasis:entry>
         <oasis:entry colname="col8">0.43</oasis:entry>
         <oasis:entry colname="col9">1.41</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">17.40</oasis:entry>
         <oasis:entry colname="col13">8</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1982)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">36.02</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105.97</oasis:entry>
         <oasis:entry colname="col3">ESP</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.93</oasis:entry>
         <oasis:entry colname="col5">1.05</oasis:entry>
         <oasis:entry colname="col6">19.81</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.10</oasis:entry>
         <oasis:entry colname="col8">2.12</oasis:entry>
         <oasis:entry colname="col9">7.82</oasis:entry>
         <oasis:entry colname="col10">16.2</oasis:entry>
         <oasis:entry colname="col11">14</oasis:entry>
         <oasis:entry colname="col12">9.50</oasis:entry>
         <oasis:entry colname="col13">58</oasis:entry>
         <oasis:entry colname="col14">Koning et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.59</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104.04</oasis:entry>
         <oasis:entry colname="col3">GVR</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.68</oasis:entry>
         <oasis:entry colname="col5">0.47</oasis:entry>
         <oasis:entry colname="col6">25.03</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.40</oasis:entry>
         <oasis:entry colname="col8">0.33</oasis:entry>
         <oasis:entry colname="col9">0.97</oasis:entry>
         <oasis:entry colname="col10">8.3</oasis:entry>
         <oasis:entry colname="col11">4.7</oasis:entry>
         <oasis:entry colname="col12">15.73</oasis:entry>
         <oasis:entry colname="col13">8</oasis:entry>
         <oasis:entry colname="col14">Gustavson (1996)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">41.21</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.67</oasis:entry>
         <oasis:entry colname="col3">MCA</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M109" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.58</oasis:entry>
         <oasis:entry colname="col5">0.26</oasis:entry>
         <oasis:entry colname="col6">19.56</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.98</oasis:entry>
         <oasis:entry colname="col8">0.70</oasis:entry>
         <oasis:entry colname="col9">2.13</oasis:entry>
         <oasis:entry colname="col10">13</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">10.99</oasis:entry>
         <oasis:entry colname="col13">7</oasis:entry>
         <oasis:entry colname="col14">Joeckel et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">41.20</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.67</oasis:entry>
         <oasis:entry colname="col3">MCC</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.00</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">19.61</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.94</oasis:entry>
         <oasis:entry colname="col8">0.85</oasis:entry>
         <oasis:entry colname="col9">2.74</oasis:entry>
         <oasis:entry colname="col10">13</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">10.99</oasis:entry>
         <oasis:entry colname="col13">16</oasis:entry>
         <oasis:entry colname="col14">Joeckel et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">41.21</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M114" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.67</oasis:entry>
         <oasis:entry colname="col3">MCE</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.75</oasis:entry>
         <oasis:entry colname="col5">0.48</oasis:entry>
         <oasis:entry colname="col6">19.83</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.72</oasis:entry>
         <oasis:entry colname="col8">1.04</oasis:entry>
         <oasis:entry colname="col9">3.11</oasis:entry>
         <oasis:entry colname="col10">13</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">10.98</oasis:entry>
         <oasis:entry colname="col13">6</oasis:entry>
         <oasis:entry colname="col14">Joeckel et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">36.10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104.26</oasis:entry>
         <oasis:entry colname="col3">MI</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.55</oasis:entry>
         <oasis:entry colname="col5">0.57</oasis:entry>
         <oasis:entry colname="col6">25.61</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.74</oasis:entry>
         <oasis:entry colname="col8">0.13</oasis:entry>
         <oasis:entry colname="col9">0.23</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">11.78</oasis:entry>
         <oasis:entry colname="col13">3</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">36.10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104.26</oasis:entry>
         <oasis:entry colname="col3">MI2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.27</oasis:entry>
         <oasis:entry colname="col5">1.30</oasis:entry>
         <oasis:entry colname="col6">26.12</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.23</oasis:entry>
         <oasis:entry colname="col8">0.55</oasis:entry>
         <oasis:entry colname="col9">1.16</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">11.80</oasis:entry>
         <oasis:entry colname="col13">4</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.98</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M123" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.69</oasis:entry>
         <oasis:entry colname="col3">PD</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.34</oasis:entry>
         <oasis:entry colname="col5">0.59</oasis:entry>
         <oasis:entry colname="col6">25.41</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M125" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.02</oasis:entry>
         <oasis:entry colname="col8">0.28</oasis:entry>
         <oasis:entry colname="col9">0.89</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">15.72</oasis:entry>
         <oasis:entry colname="col13">9</oasis:entry>
         <oasis:entry colname="col14">Lucas et al. (2001)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">33.01</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.87</oasis:entry>
         <oasis:entry colname="col3">PO</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M127" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.50</oasis:entry>
         <oasis:entry colname="col5">0.80</oasis:entry>
         <oasis:entry colname="col6">25.71</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.36</oasis:entry>
         <oasis:entry colname="col8">0.44</oasis:entry>
         <oasis:entry colname="col9">2.01</oasis:entry>
         <oasis:entry colname="col10">11</oasis:entry>
         <oasis:entry colname="col11">4.5</oasis:entry>
         <oasis:entry colname="col12">17.29</oasis:entry>
         <oasis:entry colname="col13">20</oasis:entry>
         <oasis:entry colname="col14">Gustavson (1996); Henry (2017)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">37.10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.94</oasis:entry>
         <oasis:entry colname="col3">PoR</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.13</oasis:entry>
         <oasis:entry colname="col5">0.75</oasis:entry>
         <oasis:entry colname="col6">24.51</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M131" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.18</oasis:entry>
         <oasis:entry colname="col8">0.44</oasis:entry>
         <oasis:entry colname="col9">1.02</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">14.58</oasis:entry>
         <oasis:entry colname="col13">7</oasis:entry>
         <oasis:entry colname="col14">Smith et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">35.99</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M132" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.46</oasis:entry>
         <oasis:entry colname="col3">REA</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M133" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.01</oasis:entry>
         <oasis:entry colname="col5">1.51</oasis:entry>
         <oasis:entry colname="col6">25.21</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M134" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.58</oasis:entry>
         <oasis:entry colname="col8">0.81</oasis:entry>
         <oasis:entry colname="col9">2.52</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">14.15</oasis:entry>
         <oasis:entry colname="col13">7</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">35.99</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M135" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.46</oasis:entry>
         <oasis:entry colname="col3">REA2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.82</oasis:entry>
         <oasis:entry colname="col5">0.65</oasis:entry>
         <oasis:entry colname="col6">25.69</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.10</oasis:entry>
         <oasis:entry colname="col8">0.79</oasis:entry>
         <oasis:entry colname="col9">1.60</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">14.16</oasis:entry>
         <oasis:entry colname="col13">4</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">35.99</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.46</oasis:entry>
         <oasis:entry colname="col3">REA3</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.71</oasis:entry>
         <oasis:entry colname="col5">3.39</oasis:entry>
         <oasis:entry colname="col6">25.51</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M140" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.27</oasis:entry>
         <oasis:entry colname="col8">0.14</oasis:entry>
         <oasis:entry colname="col9">0.31</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">14.16</oasis:entry>
         <oasis:entry colname="col13">4</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.82</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.75</oasis:entry>
         <oasis:entry colname="col3">RG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.80</oasis:entry>
         <oasis:entry colname="col5">0.55</oasis:entry>
         <oasis:entry colname="col6">25.78</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.71</oasis:entry>
         <oasis:entry colname="col8">0.37</oasis:entry>
         <oasis:entry colname="col9">1.12</oasis:entry>
         <oasis:entry colname="col10">8.3</oasis:entry>
         <oasis:entry colname="col11">4.7</oasis:entry>
         <oasis:entry colname="col12">15.44</oasis:entry>
         <oasis:entry colname="col13">11</oasis:entry>
         <oasis:entry colname="col14">Gustavson (1996)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.19</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104.79</oasis:entry>
         <oasis:entry colname="col3">RSE</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.41</oasis:entry>
         <oasis:entry colname="col5">1.20</oasis:entry>
         <oasis:entry colname="col6">25.14</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.24</oasis:entry>
         <oasis:entry colname="col8">0.80</oasis:entry>
         <oasis:entry colname="col9">1.94</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">15.92</oasis:entry>
         <oasis:entry colname="col13">9</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1982)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">39.04</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>99.54</oasis:entry>
         <oasis:entry colname="col3">S9A</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.48</oasis:entry>
         <oasis:entry colname="col5">0.67</oasis:entry>
         <oasis:entry colname="col6">25.16</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.88</oasis:entry>
         <oasis:entry colname="col8">0.50</oasis:entry>
         <oasis:entry colname="col9">1.62</oasis:entry>
         <oasis:entry colname="col10">11.6</oasis:entry>
         <oasis:entry colname="col11">3.6</oasis:entry>
         <oasis:entry colname="col12">13.07</oasis:entry>
         <oasis:entry colname="col13">9</oasis:entry>
         <oasis:entry colname="col14">Thomasson (1979)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">39.04</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>99.54</oasis:entry>
         <oasis:entry colname="col3">S9A2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.04</oasis:entry>
         <oasis:entry colname="col5">0.15</oasis:entry>
         <oasis:entry colname="col6">25.07</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M152" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.98</oasis:entry>
         <oasis:entry colname="col8">0.42</oasis:entry>
         <oasis:entry colname="col9">1.01</oasis:entry>
         <oasis:entry colname="col10">11.6</oasis:entry>
         <oasis:entry colname="col11">3.6</oasis:entry>
         <oasis:entry colname="col12">13.07</oasis:entry>
         <oasis:entry colname="col13">5</oasis:entry>
         <oasis:entry colname="col14">Thomasson (1979)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">36.67</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.07</oasis:entry>
         <oasis:entry colname="col3">SNE</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.47</oasis:entry>
         <oasis:entry colname="col5">0.17</oasis:entry>
         <oasis:entry colname="col6">24.71</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.11</oasis:entry>
         <oasis:entry colname="col8">0.06</oasis:entry>
         <oasis:entry colname="col9">0.12</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">14.01</oasis:entry>
         <oasis:entry colname="col13">5</oasis:entry>
         <oasis:entry colname="col14">Leonard and Frye (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">36.67</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.07</oasis:entry>
         <oasis:entry colname="col3">SNE2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.41</oasis:entry>
         <oasis:entry colname="col5">1.34</oasis:entry>
         <oasis:entry colname="col6">25.00</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.82</oasis:entry>
         <oasis:entry colname="col8">0.28</oasis:entry>
         <oasis:entry colname="col9">0.48</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">14.01</oasis:entry>
         <oasis:entry colname="col13">3</oasis:entry>
         <oasis:entry colname="col14">Leonard and Frye (1978)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">33.43</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.41</oasis:entry>
         <oasis:entry colname="col3">SQ3</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.90</oasis:entry>
         <oasis:entry colname="col5">0.49</oasis:entry>
         <oasis:entry colname="col6">26.17</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.87</oasis:entry>
         <oasis:entry colname="col8">0.51</oasis:entry>
         <oasis:entry colname="col9">1.46</oasis:entry>
         <oasis:entry colname="col10">10.3</oasis:entry>
         <oasis:entry colname="col11">4.9</oasis:entry>
         <oasis:entry colname="col12">17.40</oasis:entry>
         <oasis:entry colname="col13">7</oasis:entry>
         <oasis:entry colname="col14">Henry (2017); Fox and Koch <?xmltex \hack{\hfill\break}?>(2004); Gustavson (1996)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">33.47</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.51</oasis:entry>
         <oasis:entry colname="col3">SQ4</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.15</oasis:entry>
         <oasis:entry colname="col5">1.88</oasis:entry>
         <oasis:entry colname="col6">26.76</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.30</oasis:entry>
         <oasis:entry colname="col8">0.32</oasis:entry>
         <oasis:entry colname="col9">0.80</oasis:entry>
         <oasis:entry colname="col10">13.6</oasis:entry>
         <oasis:entry colname="col11">10.3</oasis:entry>
         <oasis:entry colname="col12">17.31</oasis:entry>
         <oasis:entry colname="col13">4</oasis:entry>
         <oasis:entry colname="col14">Henry (2017); Fox and Koch <?xmltex \hack{\hfill\break}?>(2004); Gustavson (1996)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">35.24</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.95</oasis:entry>
         <oasis:entry colname="col3">WC</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.57</oasis:entry>
         <oasis:entry colname="col5">1.96</oasis:entry>
         <oasis:entry colname="col6">23.10</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.37</oasis:entry>
         <oasis:entry colname="col8">4.39</oasis:entry>
         <oasis:entry colname="col9">7.69</oasis:entry>
         <oasis:entry colname="col10">10</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">15.52</oasis:entry>
         <oasis:entry colname="col13">3</oasis:entry>
         <oasis:entry colname="col14">Cepeda and Perkins (2006)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">34.47</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.11</oasis:entry>
         <oasis:entry colname="col3">WK</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.78</oasis:entry>
         <oasis:entry colname="col5">0.71</oasis:entry>
         <oasis:entry colname="col6">26.37</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.77</oasis:entry>
         <oasis:entry colname="col8">0.25</oasis:entry>
         <oasis:entry colname="col9">0.99</oasis:entry>
         <oasis:entry colname="col10">11</oasis:entry>
         <oasis:entry colname="col11">4.5</oasis:entry>
         <oasis:entry colname="col12">16.92</oasis:entry>
         <oasis:entry colname="col13">19</oasis:entry>
         <oasis:entry colname="col14">Gustavson (1996); Gustavson and <?xmltex \hack{\hfill\break}?>Holliday (1999)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">34.60</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>106.08</oasis:entry>
         <oasis:entry colname="col3">WW</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.16</oasis:entry>
         <oasis:entry colname="col5">1.00</oasis:entry>
         <oasis:entry colname="col6">24.88</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.43</oasis:entry>
         <oasis:entry colname="col8">0.21</oasis:entry>
         <oasis:entry colname="col9">0.59</oasis:entry>
         <oasis:entry colname="col10">23</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
         <oasis:entry colname="col12">11.96</oasis:entry>
         <oasis:entry colname="col13">9</oasis:entry>
         <oasis:entry colname="col14">Frye et al. (1982)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <p id="d1e3457">Lastly, we also collected samples from the Miocene-age Tesuque Formation within the Santa Fe Group within the Rio Grande Rift. These samples are the only samples we collected west of the original spatial extent of the Ogallala Formation. Unlike the Ogallala Formation, the Santa Fe Group comprises thick basin fill shed off the Sangre de Cristo Range during ongoing rift extension <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx82" id="paren.76"/> and chronological constraints are provided by a combination of magnetostratigraphy <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx4" id="paren.77"/>, biostratigraphy <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx152 bib1.bibx1" id="paren.78"/>, and radiometric dates <xref ref-type="bibr" rid="bib1.bibx101 bib1.bibx66 bib1.bibx78" id="paren.79"/>. The Tesuque Formation contains abundant authigenic carbonates, including nodules, root casts, groundwater cements, and laterally extensive Bk horizons <xref ref-type="bibr" rid="bib1.bibx82" id="paren.80"/>. To place our samples within an existing stratigraphic framework, we collected samples along the Arroyo de los Martinez section and refer readers to <xref ref-type="bibr" rid="bib1.bibx78" id="text.81"/> for a detailed description of this section.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Methods</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Stable isotope measurements</title>
      <?pagebreak page1046?><p id="d1e3494">We collected carbonates (<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">344</mml:mn></mml:mrow></mml:math></inline-formula>) from paleosols from 32 distinct sites within the Ogallala Formation or from the Tesuque Formation. In every section, we sampled a wide variety of carbonate types, including rhizoliths, nodules, burrows, carbonate-cemented matrix samples, and caliches in order to test whether these different carbonate types reveal different spatial isotope patterns. Individual sample types for each sample are listed in Table S1 in <xref ref-type="bibr" rid="bib1.bibx98" id="text.82"/>. During sampling, we first removed the weathered surface layer before selecting samples. Sampling sites are shown in Fig. 1a, sample types are depicted in Fig. <xref ref-type="fig" rid="Ch1.F2"/>, and coordinates are reported in Table 1. Samples were powdered for isotopic analysis with a Dremel tool or crushed with a mortar and pestle to obtain a homogeneous powder. Before powdering nodules, caliches, and matrix samples, any outer weathered rind was first discarded. Carbon and oxygen isotope ratios of the carbonate were measured with a ThermoFisher Gas Bench II coupled via a ConFlow IV interface to a Delta V Plus mass spectrometer at ETH Zürich following procedures described in detail in  <xref ref-type="bibr" rid="bib1.bibx10" id="text.83"/>. Briefly, 140–300 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of the powdered sample, depending on carbonate content, was reacted with five drops of 104 % phosphoric acid at 70 °C in He-flushed exetainers. Each batch of 79 samples included 16 replicates of the internal standards MS2 (<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.13</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.81</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and ETH-4 (<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.19</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.71</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>) interspersed throughout the run. The standards are used for drift corrections and data normalization and are calibrated to the international reference materials NBS 19 (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.95</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and NBS 18 (<inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.01</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.00</mml:mn></mml:mrow></mml:math></inline-formula> ‰;  <xref ref-type="bibr" rid="bib1.bibx6" id="altparen.84"/>). Analytical reproducibility of the standards was better than 0.1 ‰ (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> for both <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O). We convert our <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data from VPDB to VSMOW using the equations in <xref ref-type="bibr" rid="bib1.bibx8" id="text.85"/>, and we report all <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data relative to VSMOW.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e3780">Field photos representing the primary types of authigenic carbonate sampled in this study. <bold>(a)</bold> Carbonate nodules. <bold>(b)</bold> Burrows. <bold>(c)</bold> Root casts. <bold>(d)</bold> Caprock calcrete, as pictured in SE New Mexico.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f02.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>HYSPLIT</title>
      <p id="d1e3809">Because <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> is heavily influenced by the pathway that moisture takes to reach a certain site, we use NOAA's Hybrid Single-Particle Lagrangian Trajectory Model (HYSPLIT) <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx144" id="paren.86"/> to analyze the pathways by which moisture reaches the Great Plains. HYSPLIT is commonly used to understand modern precipitation <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> data <xref ref-type="bibr" rid="bib1.bibx134 bib1.bibx7 bib1.bibx94 bib1.bibx173 bib1.bibx123" id="paren.87"/> and to yield insights into the controls on reconstructed paleo-precipitation <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <xref ref-type="bibr" rid="bib1.bibx114 bib1.bibx88 bib1.bibx20 bib1.bibx21 bib1.bibx163 bib1.bibx173" id="paren.88"/>. To track air parcels back in time and space from a given location, we use North American Regional Reanalysis (NARR) data, which have a <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mn mathvariant="normal">32</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> km resolution <xref ref-type="bibr" rid="bib1.bibx104" id="paren.89"/>, as the HYSPLIT climatological model input. To resolve spatial variability in the origins and pathways of storms, we simulate the origin and pathway of the air parcels for four selected sites (32° N and <inline-formula><mml:math id="M201" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97° E; 32° N and <inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105° E; 42° N and <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">97</mml:mn></mml:mrow></mml:math></inline-formula>° E; 42° N and <inline-formula><mml:math id="M204" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105° E). At each site, we initialize the air parcel at 1000 m above ground. We choose this height as this level encapsulates much of the bulk moisture transported by the GPLLJ, which has maximum wind speeds between 500–1000 m above ground level <xref ref-type="bibr" rid="bib1.bibx69" id="paren.90"/>, and also captures moisture transport by the midlatitude westerlies <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx163" id="paren.91"/>. The sites were chosen to encapsulate nearly the full latitudinal and longitudinal range represented by the carbonate stable isotope data. At each site, we generate nearly 53 000 back trajectories (i.e., one trajectory every 6 h from 1980–2016) and filter these trajectories for only those that are estimated to produce precipitation within 6 h of reaching the endpoint <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx21" id="paren.92"><named-content content-type="pre">e.g.,</named-content></xref>. This results in approximately 4000 to 11 000 trajectories at each site. We further use HYSPLIT's built-in clustering algorithm to calculate the percentage of trajectories that originate from the Gulf of Mexico. Lastly, we note two critical assumptions regarding this HYSPLIT analysis. First, we assume that, by tracking air parcels using HYSPLIT, we are also tracking moisture; however, HYSPLIT does not account for moisture addition by evaporation or removal by precipitation and does not track diffusion of moisture into and out of an air mass. The assumption of moisture transport by advection is sometimes violated in regions of strong air mass mixing, such as in the Great Plains <xref ref-type="bibr" rid="bib1.bibx31" id="paren.93"/>; however, comparison of HYSPLIT results with the results of a more rigorous moisture tracking model – the Water Accounting Model (WAM-2layers) – generally shows close agreement <xref ref-type="bibr" rid="bib1.bibx32" id="paren.94"/>. Second, our HYSPLIT results are strictly only applicable to understand the modern climate. Nevertheless, we use these results to develop insights into the controls on past precipitation <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Vapor transport model</title>
      <p id="d1e3957">Given the moisture pathways predicted by HYSPLIT, we use a one-dimensional vapor transport model <xref ref-type="bibr" rid="bib1.bibx83" id="paren.95"/> to predict the isotopic composition of precipitation transported along these pathways. This model links spatial patterns of <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> to the balance of three moisture fluxes – precipitation (<inline-formula><mml:math id="M208" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>), evapotranspiration (ET), and transport. It uses energetic and mass balance limits on evapotranspiration to place constraints on the relationship between <inline-formula><mml:math id="M209" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> and ET, which is a key parameter that controls spatial patterns of <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx122 bib1.bibx50 bib1.bibx90 bib1.bibx168 bib1.bibx2 bib1.bibx83" id="paren.96"/>. Together with the dry and moist adiabatic lapse rate (<inline-formula><mml:math id="M212" display="inline"><mml:mi mathvariant="normal">Γ</mml:mi></mml:math></inline-formula>, K m<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and an assumed environmental lapse rate (<inline-formula><mml:math id="M214" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>, K m<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), orographic rainout is incorporated into the model following the work of <xref ref-type="bibr" rid="bib1.bibx140" id="text.97"/> and <xref ref-type="bibr" rid="bib1.bibx141" id="text.98"/>. Though there are a variety of topographic parameterizations, for our simulations of westerly-derived moisture we use an idealized topography with a Gaussian-shaped mountain range combined with an orogenic plateau in the lee of the range. In our simulations of GPLLJ <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>, we assume flat terrain. Even though the Plains gently rise by more than 1000 m from the Gulf Coast to the Front Range, the model of orographic precipitation applies to adiabatic ascent over topography – a process that does not occur over the Plains. Equation (<xref ref-type="disp-formula" rid="Ch1.E1"/>) is used to calculate the column-integrated precipitable water content (<inline-formula><mml:math id="M218" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>, kg m<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) as a function of advection (<inline-formula><mml:math id="M220" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>, m s<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; the movement of an air parcel) and eddy diffusion, precipitation (<inline-formula><mml:math id="M222" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, kg m<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and evapotranspiration (ET, kg m<inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx83" id="paren.99"/>.

                <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M226" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mi>D</mml:mi><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi>u</mml:mi><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mi>w</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">ET</mml:mi><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M227" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is time and <inline-formula><mml:math id="M228" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is the coefficient for eddy diffusion (m<inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
      <?pagebreak page1047?><p id="d1e4267">Equation (<xref ref-type="disp-formula" rid="Ch1.E2"/>) is used to calculate the isotopic ratio of precipitable water (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) over space (<inline-formula><mml:math id="M232" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) in steady state following Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>). The isotope ratio of precipitation (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is derived by assuming equilibrium fractionation during moisture condensation. The isotope ratio of ET (<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">ET</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is derived as a function of the transpired fraction of ET (<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>E</mml:mi><mml:mo>+</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) and the balance of equilibrium and kinetic isotope fractionation. For further details, we refer the reader to <xref ref-type="bibr" rid="bib1.bibx83" id="text.100"/>.
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M236" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi>D</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>w</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mi>u</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">ET</mml:mi><mml:mi>w</mml:mi></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">ET</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>P</mml:mi><mml:mi>w</mml:mi></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          Here, <inline-formula><mml:math id="M237" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> refers to the <inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O <inline-formula><mml:math id="M239" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O ratio and subscripts ET, <inline-formula><mml:math id="M241" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M242" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> refer to evapotranspiration, precipitation, and precipitable water, respectively.</p>
      <p id="d1e4529">Equations (<xref ref-type="disp-formula" rid="Ch1.E1"/>) and (<xref ref-type="disp-formula" rid="Ch1.E2"/>) ensure mass conservation and permit the reduction of precipitable water and of the <inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O of precipitable water by precipitation. Mass conservation relationships between potential evapotranspiration (PET), evapotranspiration (ET), and precipitation (<inline-formula><mml:math id="M244" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) are encapsulated within a Budyko hydrologic balance framework that limits moisture recycling based on energy (when PET <inline-formula><mml:math id="M245" display="inline"><mml:mi mathvariant="normal">≤</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M246" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) or water (when <inline-formula><mml:math id="M247" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> ≤ PET). Equation (<xref ref-type="disp-formula" rid="Ch1.E3"/>) can be used to calculate a so-called “Budyko curve”, which determines a unique hydroclimate solution for each isotope gradient using a given value of <inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> – a non-dimensional free parameter that captures land surface characteristics (such as vegetation, bedrock lithology, ruggedness) and modulates the partitioning of precipitation into either runoff or evapotranspiration <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx48 bib1.bibx169 bib1.bibx53 bib1.bibx83" id="paren.101"/>.

                <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M249" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">ET</mml:mi><mml:mo>=</mml:mo><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">PET</mml:mi><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">PET</mml:mi><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi mathvariant="italic">ω</mml:mi></mml:msup></mml:mrow></mml:mfenced><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">ω</mml:mi></mml:mfrac></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e4634">To populate the parameters in this model, we again use North American Regional Reanalysis (NARR) data (long-term monthly mean for years 1979–2000) <xref ref-type="bibr" rid="bib1.bibx104" id="paren.102"/>. We show input values for model parameters in the Appendix (Table <xref ref-type="table" rid="App1.Ch1.S1.T2"/>). For <inline-formula><mml:math id="M250" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>, we use the global mean value of 2.6 <xref ref-type="bibr" rid="bib1.bibx53" id="paren.103"/>. For the transpired fraction of ET (<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi>E</mml:mi><mml:mo>+</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) we use a value of 0.64 <xref ref-type="bibr" rid="bib1.bibx51" id="paren.104"/>.</p>
      <p id="d1e4673">We simplify the longitudinal differences in simulated GPLLJ trajectories (see Fig. <xref ref-type="fig" rid="Ch1.F3"/>) as a 1-D storm track that transports moisture from the Gulf of Mexico to the Great Plains. To reflect the general curvilinear trajectories of the GPLLJ, partly caused by the influence of the North American Cordillera <xref ref-type="bibr" rid="bib1.bibx69" id="paren.105"/>, we implement a bend in our simplified trajectories at 32° N. From this bend, the simulated trajectory runs along the 101° meridian. This trajectory ends at 43° N, the latitude of our northernmost site. This trajectory passes over the middle of the present-day exposure of the Ogallala Formation and, hence, captures a representation of the atmospheric processes that result in <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> over the Great Plains.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e4703">Map showing the percentage of precipitation-producing storm tracks at four localities on the Great Plains that bound the latitudinal and longitudinal extent of our data. HYSPLIT air parcels at all four sites are initialized at 1000 m above ground. <bold>(a)</bold> 42° N, <inline-formula><mml:math id="M254" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105° E. <bold>(b)</bold> 42° N, <inline-formula><mml:math id="M255" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97° E. <bold>(c)</bold> 32° N, <inline-formula><mml:math id="M256" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105° E. <bold>(d)</bold> 32° N, <inline-formula><mml:math id="M257" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97° E. The resulting mean storm trajectories are demarcated with dashed black lines with an arrow showing the direction of transport. In panels <bold>(a)</bold>–<bold>(d)</bold>, the extent of the Ogallala is shown in black. <bold>(e)</bold> An estimate of the percentage of gulf and southeasterly moisture that reaches each location as a function of longitude. Red points represent a transect of HYSPLIT simulations along the 42° N parallel; blue points represent a transect of HYSPLIT simulations along the 32° N parallel.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f03.jpg"/>

        </fig>

      <p id="d1e4762">To test for the influence of westerly moisture in the Great Plains (as indicated by the HYSPLIT results), we initialized the vapor transport model with annual mean NARR data interpolated to a simplified 1-D trajectory representing the westerlies (Fig. <xref ref-type="fig" rid="Ch1.F8"/>). The trajectory latitude is chosen to lie  between the northern and southern boundary of the Ogallala Formation. To account for the known effects of orographic rainout on westerly moisture <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx88 bib1.bibx109" id="paren.106"/>, we use a simplified topography, based on the modern observed topographic profile, that follows a Gaussian-shaped mountain with a flat plateau in the lee.</p>
</sec>
</sec>
<?pagebreak page1048?><sec id="Ch1.S5">
  <label>5</label><title>Results</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Moisture sources and precipitation trajectories</title>
      <?pagebreak page1049?><p id="d1e4787">Contour plots in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a–d show the percentage of trajectories that produce precipitation at 1000 m above ground level for each of the plotted locations over the course of a year. Western sites receive a substantial portion of their moisture from westerly or southwesterly trajectories that traverse the high topography of the North American Cordillera. In particular, the northwesternmost site (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) receives little moisture from the gulf. In contrast, the southeasternmost site (Fig. <xref ref-type="fig" rid="Ch1.F3"/>d) receives predominantly gulf moisture. These patterns vary somewhat seasonally, with gulf and southeasterly moisture more dominant in the spring and summer months and  westerly moisture more dominant in the winter months. Our results from HYSPLIT's clustering algorithm show that northern locations receive less gulf and southeasterly moisture than southern locations; however, regardless of latitude, the percentage of storms sourced from the gulf increases to the east (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e).</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><?xmltex \opttitle{$\delta^{{18}}$O${}_{\mathrm{c}}$ and $\delta^{{13}}$C results}?><title><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C results</title>
      <p id="d1e4837">Our new <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data range from a minimum of 17.0 ‰ to a maximum of 27.3 ‰ (Table S1 in  <xref ref-type="bibr" rid="bib1.bibx98" id="altparen.107"/>). When averaged by section, our new <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data range from 19.6 ‰ to 26.8 ‰ (Table <xref ref-type="table" rid="Ch1.T1"/>). The compiled data have a much larger range, reflecting their larger latitudinal distribution, with the average section <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> ranging from 13.6 ‰ to 27.0 ‰ (Appendix Table <xref ref-type="table" rid="App1.Ch1.S1.T3"/>). Within individual sections, there is very little variance: the mean range and standard deviation of <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in individual sections are <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively, indicating that temporal shifts in <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> in the sampled sections are small (Table <xref ref-type="table" rid="Ch1.T1"/>; Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). If we exclude data outside Ogallala Formation, the mean range and standard deviation of <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> in individual sections are lower at <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively, indicating that carbonates in the Ogallala Formation have very little variance.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e5007">Spatial distribution of <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <bold>(a)</bold> and reconstructed <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> 1<inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> <bold>(b)</bold>. <bold>(a)</bold> Comparison of reconstructed <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> from <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> (large squares) calculated using the yearly mean of monthly long-term temperature data retrieved from NARR for each site. Modern meteoric water <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (small circles) is derived from modern groundwater, river water, or stream water retrieved from  Waterisotopes.org <xref ref-type="bibr" rid="bib1.bibx160" id="paren.108"/>. Data points are colored by their <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values. <bold>(b)</bold> The 1<inline-formula><mml:math id="M286" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of the reconstructed <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> derived from the variability in the <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> values from each stratigraphic section. In both panels, the black polygon marks the extent of modern-day exposure of the Ogallala Formation.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f04.jpg"/>

        </fig>

      <p id="d1e5181">Our new Ogallala <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C data have a mean value of <inline-formula><mml:math id="M292" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.14 <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) ‰ (Table <xref ref-type="table" rid="Ch1.T1"/>) (excluding data from the Tesuque Formation). In contrast, our compiled Ogallala Formation data have a mean <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value of <inline-formula><mml:math id="M296" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.74 <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) ‰. This discrepancy is due to relatively high <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values in the sections in New Mexico identified via lithologic or geomorphic correlation by  <xref ref-type="bibr" rid="bib1.bibx47" id="text.109"/> to be Ogallala outcrops. When these <xref ref-type="bibr" rid="bib1.bibx47" id="text.110"/> data are excluded, the mean <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value in our new data is <inline-formula><mml:math id="M301" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.69 <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) ‰, which is statistically indistinguishable from the compiled data <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C mean.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><?xmltex \opttitle{Spatial distribution of $\delta^{{18}}$O${}_{\mathrm{p}}$}?><title>Spatial distribution of <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p id="d1e5358">For each site, we calculate a mean reconstructed <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> value and compare these mean values with modern water <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (retrieved from Waterisotopes.org; <xref ref-type="bibr" rid="bib1.bibx160" id="altparen.111"/>). To reconstruct paleo-precipitation <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, we use the modern 2 m air temperature from NARR  to estimate the formation temperature of soil carbonate along with the fractionation factors of <xref ref-type="bibr" rid="bib1.bibx75" id="text.112"/>. Means, standard deviations, and full <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O ranges for each site with new data are presented in Table <xref ref-type="table" rid="Ch1.T1"/>, and the previously published <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O data – converted to paleo-precipitation <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> – are presented in Appendix Table <xref ref-type="table" rid="App1.Ch1.S1.T3"/>. All of the <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data are available as supporting material (Table S1) in <xref ref-type="bibr" rid="bib1.bibx98" id="text.113"/>. The spatial distribution of the reconstructed <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> shows a nearly identical spatial distribution to that of modern <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). From the Gulf Coast inland, paleo-<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O follows the modern <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient, with lower values to the west and to the north. The maximum change in both paleo-<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and modern <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O occurs along a southeast–northwest trend, running roughly from the Gulf Coast in Texas to northern Colorado.</p>
      <p id="d1e5558">We further test whether decreasing temperatures northward significantly influences our reconstructed <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> values. The modern mean annual temperature gradient in the Great Plains (from 28.3 to 43° N) is <inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.2 °C per 100 km. In June–July–August (JJA), this gradient is reduced to 0.4 °C per 100 km. We use these two temperature gradients to calculate the effect of changing the spatial pattern of temperature on our reconstructed <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>, as well as testing a hypothetical case with latitudinally constant temperature of 25° C. Using the JJA temperature gradient, the reconstructed <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient is slightly shallower (red circles in Fig. <xref ref-type="fig" rid="Ch1.F5"/>) compared to the modern <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient (gray dots) and compared to the reconstructed <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient (blue circles) using modern yearly mean NARR temperature data (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b). The likely maximum difference that a reduced temperature gradient – relative to the modern – can impart on our results is captured in the scenario of spatially uniform temperatures, which represents an extreme end-member scenario where poleward warming in a higher-CO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> world results in a negligible latitudinal temperature gradient. Even spatially uniform temperatures only result in an increase of 2.9 ‰ in the northernmost sites relative to the assumption of a modern temperature gradient, still within the range of modern <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O across the Plains. These results suggest that our reconstructed <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> values are relatively insensitive to assumptions of carbonate formation temperatures in a warmer world with a potentially reduced meridional temperature gradient <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx159" id="paren.114"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e5710"><bold>(a)</bold> Reconstructed <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> plotted against latitude. Reconstructed <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> is calculated assuming a spatially uniform temperature of 25 °C (yellow circles), annual mean temperatures (blue circles), or June–July–August (JJA) mean temperatures (red circles). Annual mean and JJA temperatures are taken from monthly long-term mean data retrieved from NARR <xref ref-type="bibr" rid="bib1.bibx104" id="paren.115"/>. Gray circles are modern meteoric water <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, including groundwater and river or stream water, retrieved from Waterisotopes.org <xref ref-type="bibr" rid="bib1.bibx160" id="paren.116"/>. <bold>(b)</bold> The same as <bold>(a)</bold> but the <inline-formula><mml:math id="M343" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis sets the southernmost data (<inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula>° N) to zero to emphasize the effect on the spatial gradient in <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f05.png"/>

        </fig>

      <p id="d1e5815">There is not only a pronounced N–S <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient in the paleo-data, but also substantial W–E variation. Figure <xref ref-type="fig" rid="Ch1.F6"/> shows modern and reconstructed <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> plotted against longitude using the NARR mean annual temperature to constrain the formation temperature of carbonate. Again, as with the comparison against latitude (Fig. <xref ref-type="fig" rid="Ch1.F5"/>), all reconstructed <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> estimates fall within the same range as the modern <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O when projected to longitude. Though again this conclusion is tempered by our assumption of carbonate formation temperatures, we suggest, as above, that this is likely to be a negligible effect, particularly given the relative insensitivity in the <inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O fractionation factor to temperature (<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ K<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx75" id="paren.117"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e5922">Modern meteoric water <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (small, gray circles) and reconstructed <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> (large, colored circles) versus longitude. Reconstructed <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> is colored with respect to latitude. Modern meteoric water data include <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O data from groundwater, river water, and stream water retrieved from Waterisotopes.org <xref ref-type="bibr" rid="bib1.bibx160" id="paren.118"/>. Vertical error bars are <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> of the mean section <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O data.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><?xmltex \opttitle{Reactive transport modeling of $\delta^{{18}}$O${}_{\mathrm{p}}$}?><title>Reactive transport modeling of <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p id="d1e6046">The vapor transport model <xref ref-type="bibr" rid="bib1.bibx83" id="paren.119"/> allows us to predict <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> along a given storm track, reflecting the balance between transport, precipitation, and evapotranspiration. Our model of GPLLJ <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> simulates higher <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O at the end of the trajectory compared to both modern and reconstructed <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> values (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a). Consistent with higher <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values, the model also predicts higher atmospheric moisture content and relative humidity than indicated by NARR, suggesting it is underpredicting rainout from air masses that<?pagebreak page1050?> reach the northern plains or that the single air mass assumption implicit in this model is not valid in this region (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e6141">Vapor transport model simulation of <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> along an idealized Great Plains low-level jet (GPLLJ) trajectory. <bold>(a)</bold> The red line is the modeled <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> along the simulated storm track (exact location of the storm track is shown as a red line in the inset). Green points are reconstructed <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> within <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>° longitude of the trajectory. Gray circles are data greater than <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>° longitude from the simulated trajectory. Vertical error bars are 1<inline-formula><mml:math id="M381" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of the mean section reconstructed <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>. <bold>(b)</bold> Simulated precipitable water (solid red) and <inline-formula><mml:math id="M384" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M385" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ET (solid black) plotted along the simulated storm track. The dashed line shows the actual annual mean precipitable water along this storm track retrieved from NARR.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e6282">Vapor transport model simulation of <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> along an idealized westerly trajectory. <bold>(a)</bold> The red line is the modeled <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> along the simulated storm track (exact location of the storm track is shown as a red line in the inset). Green points are reconstructed <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> data within <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>° latitude from the storm track. Large, unfilled gray circles are data greater than <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>° latitude from the simulated trajectory. Vertical error bars are 1<inline-formula><mml:math id="M394" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of the mean section reconstructed <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>. Small gray circles are modern meteoric water <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, including stream water, river water, and groundwater, retrieved from Waterisotopes.org <xref ref-type="bibr" rid="bib1.bibx160" id="paren.120"/>. The gray line is a kernel-smoothed average of the meteoric water <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O against distance along the storm track. <bold>(b)</bold> Simulated precipitable water (solid red) and <inline-formula><mml:math id="M399" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M400" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ET (solid black) plotted along the simulated storm track. The dashed line shows the actual annual mean precipitable water along this storm track retrieved from NARR.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://cp.copernicus.org/articles/20/1039/2024/cp-20-1039-2024-f08.png"/>

        </fig>

      <p id="d1e6446">Our model of westerly moisture <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> suffers from a similar mismatch between simulated <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> and both modern <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and reconstructed <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F8"/>a). Though our westerly trajectory uses an idealized topography to simulate the topography of the North American Cordillera, we are able to approximately reproduce the decrease in <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> that occurs close to the coast of North America. Variations in simulated <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> after the initial orographic rainout are primarily driven by temperature that varies with elevation in the NARR data. This leads to minor discrepancies where elevation decreases <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in modern waters but increases <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in the model due to colder temperatures raising <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>. Nevertheless, simulated <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> approximates meteoric water <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O along the westerly trajectory until this trajectory reaches the Great Plains at a distance of around 1550 km. At distances larger than this, the model substantially underestimates meteoric water <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and reconstructed <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> on the Great Plains. Again examining climatological measures related to <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>, there is a distinct discrepancy in atmospheric moisture content between the modeled output and the NARR data over the Great Plains at a distance of around 1550 km from the starting point of the simulated westerly trajectory (Fig. <xref ref-type="fig" rid="Ch1.F8"/>b).</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Discussion</title>
      <p id="d1e6719">Our new spatially resolved data provide insight into moisture transport to the Great Plains during the late Neogene. In brief, the overall constancy of <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O between the late Miocene and the present suggests that the features of atmospheric<?pagebreak page1051?> circulation most responsible for moisture delivery to the Great Plains today – notably the Great Plains low-level jet and the wintertime westerlies – have likely been the dominant features since at least the late Miocene. Further, that the reconstructed <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient is indistinguishable from today's <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient indicates that the balance of GPLLJ and westerly moisture has hardly changed since the late Miocene. Either these circulation features have undergone no substantial change in net rainout, or, if one has, its effect was masked by countervailing changes in the other. Overall, these results bolster earlier findings by <xref ref-type="bibr" rid="bib1.bibx42" id="text.121"/>, who found a consistent south-to-north gradient in <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M431" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> in the Great Plains that they attributed to a similar latitudinal temperature gradient in the Miocene.</p>
      <p id="d1e6788">Below, we discuss our findings in more detail, place these data in the context of previous work in the region, and discuss how our new data permit a re-interpretation of the controls on long-term climate in the Great Plains. We also discuss several important caveats in our data that point towards the need for future work to study more nuanced changes in climate than can be resolved with this dataset.</p>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><?xmltex \opttitle{Constancy of $\delta^{{18}}$O${}_{\mathrm{p}}$ in relation to climate change}?><title>Constancy of <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in relation to climate change</title>
      <p id="d1e6819">The Miocene was warmer than the present day, particularly during the Miocene Climate Optimum (MCO) <xref ref-type="bibr" rid="bib1.bibx162 bib1.bibx145" id="paren.122"/>, and was characterized by a long-term cooling trend after the MCO <xref ref-type="bibr" rid="bib1.bibx61" id="paren.123"/>. Even after this cooling interval, the lack of extensive Northern Hemisphere ice sheets and likely a smaller Antarctic ice sheet indicate that the late Miocene was warmer than today, with a reduced latitudinal temperature gradient <xref ref-type="bibr" rid="bib1.bibx87 bib1.bibx36" id="paren.124"/>. The warmer climate and shallower temperature gradient could impact <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>, yet the decrease in reconstructed <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> with latitude appears identical to today (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). This result is perhaps not surprising, since temperature appears to have only a secondary effect on the latitudinal gradient of <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a). Instead, such constancy in <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> through time indicates that the mixing of westerly and southerly moisture – the primary control on the latitudinal <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient – was similar to today.</p>
      <p id="d1e6928">The results of our vapor transport modeling support the contention that mixing between dry, low-<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O westerly air masses and moist, high-<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O southerly air masses is required to explain the long-standing presence of this steep latitudinal gradient in <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>. The vapor transport model adequately predicts <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in westerly- or GPLLJ-dominated regions, but it performs poorly where these air masses meet (Figs. <xref ref-type="fig" rid="Ch1.F7"/> and <xref ref-type="fig" rid="Ch1.F8"/>). Air mass mixing is neglected in the 1-D vapor transport model, so the model's poor performance in these regions points to mixing as an important control on the latitudinal <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient. Notably, this region of air mass mixing is closely tied to the east–west aridity gradient because it tracks the trade-off between drier westerly air and the wetter GPLLJ. Thus, the surprisingly static spatial <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> pattern across the Great Plains since the Miocene could be interpreted to reflect no change in the relative mixing of dry and moist air masses over time, maintaining the spatial pattern of the modern aridity gradient. The presence of the North American Cordillera – likely high since the Eocene <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx108" id="paren.125"/> – suggests that orographic rainout on the western margin of North America is also a long-standing feature, resulting in low-<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O moisture that is advected to the Great Plains from the west. What is more surprising is that the strength of the GPLLJ appears to be similar to today even in the warmer Miocene, given that this jet and its moisture transport are likely to be sensitive to global climate change <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx171" id="paren.126"/>.</p>
      <?pagebreak page1052?><p id="d1e7056">Overall, our vapor transport modeling indicates that a purely southerly source of moisture would result in <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> values that are too high in the northern plains (Fig. <xref ref-type="fig" rid="Ch1.F7"/>), whereas a purely westerly source brings <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> values that are too low (Fig. <xref ref-type="fig" rid="Ch1.F8"/>). To be clear, a static <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient does not require static precipitation and evaporation rates over time. In contrast, precipitable water, <inline-formula><mml:math id="M460" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M461" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> likely all increased in the warmer Miocene <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx133" id="paren.127"/>, but in such a way that net rainout (and thus the <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> fingerprint of hydrological change) did not vary substantially.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><?xmltex \opttitle{Additional factors that influence $\delta^{{18}}$O${}_{\mathrm{c}}$}?><title>Additional factors that influence <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p id="d1e7190">There are a number of additional factors, both climatic and non-climatic, that may affect the <inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M467" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data, potentially decoupling <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> values from <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> and conflicting with our interpretation above. Such factors include changes in soil temperatures and evaporation and also imprecision in the chronologies of the sections we sampled. Below, we discuss these factors and why our interpretations are robust to assumptions regarding these factors.</p>
<sec id="Ch1.S6.SS2.SSS1">
  <label>6.2.1</label><?xmltex \opttitle{Effect of temperature and evaporation on $\delta^{{18}}$O${}_{\mathrm{c}}$}?><title>Effect of temperature and evaporation on <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula></title>
      <?pagebreak page1053?><p id="d1e7281">Given that temperature affects the fractionation of <inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O between water and calcite <xref ref-type="bibr" rid="bib1.bibx75" id="paren.128"/>, spatial changes in temperature may alter our reconstructed <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient. However, we found that even extreme scenarios for changes in the spatial pattern of temperature over the Great Plains (ranging from the modern annual average latitudinal temperature gradient to a null latitudinal temperature gradient) had only a small effect on the overall latitudinal gradient of reconstructed <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F5"/>). We therefore conclude that, while temperature change since the Miocene has likely impacted the absolute value of <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M480" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>, it does not substantially alter our conclusion that the reconstructed <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> spatial pattern is similar to today.</p>
      <p id="d1e7379">While the spatial pattern of temperature change in the Plains does not appear to have had a major influence on our reconstructed <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M484" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient, for any reasonable temperature scenario (annual, JJA, or spatially uniform 25 °C), reconstructed <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> absolute values are typically higher than modern <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> by 2 ‰–3 ‰. <xref ref-type="bibr" rid="bib1.bibx42" id="text.129"/> also found that <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> was typically higher than predicted, particularly in the southern Great Plains, and attributed this observation to both higher temperatures and <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>. We suggest that, while the gradient of <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> does not appear to have substantially changed since the Miocene, the starting value of marine vapor <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O may have been slightly higher in the warmer Miocene due to elevated precipitable water, elevating <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M497" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> across the Great Plains (i.e., <xref ref-type="bibr" rid="bib1.bibx159" id="altparen.130"/>).</p>
      <p id="d1e7541">Recent work has indicated that evaporative conditions (i.e., low AI values) may elevate <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M499" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>, thereby leading to an overestimate of <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx73" id="paren.131"/>. We suggest that our overall conclusion of a similar spatial pattern of <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M503" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in the late Miocene is likely not overly influenced by changes in the spatial pattern of evaporation. Today, the latitudinal gradient in AI is negligible <xref ref-type="bibr" rid="bib1.bibx130" id="paren.132"/>; instead, the strongest gradient in AI is west to east (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Consequently, the stark latitudinal gradient in reconstructed <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> is unlikely to be driven by differential evaporative conditions. While higher marine vapor <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O may explain the elevated reconstructed absolute <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> values (2 ‰–3 ‰ above modern meteoric water <inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O), another explanation may be pervasive evaporative enrichment of pedogenic carbonates across the Great Plains, though this evaporative enrichment does not appear to vary latitudinally.</p>
</sec>
<sec id="Ch1.S6.SS2.SSS2">
  <label>6.2.2</label><title>Changes in precipitation seasonality</title>
      <p id="d1e7684">Soil carbonates are thought to form mostly seasonally, particularly in the warm season and perhaps as soils dry and plants senesce, causing soil CO<inline-formula><mml:math id="M510" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to decline and carbonates to form <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx64" id="paren.133"/>. However, the timing of soil carbonate formation may shift as the timing of precipitation and plant productivity varies due to climate change, and such shifts have been invoked to explain a wide range of soil carbonate records in the western US and elsewhere <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx85 bib1.bibx121" id="paren.134"/>. GCMs indicate that precipitation seasonality over the Great Plains will change substantially in a warmer world, with precipitation shifting towards the spring and away from the late summer <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx15 bib1.bibx171" id="paren.135"/>. Though it is difficult to assess the timing of even modern soil carbonate formation in the Great Plains, our reconstructed Miocene <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> data agree most closely with modern water <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O when using mean annual temperatures. Though we have no a priori reason to suspect that Miocene carbonates may record mean annual temperatures, this close agreement suggests that Miocene carbonates may have formed in the shoulder seasons (i.e., spring and fall), thereby recording intermediate temperatures and, likely, a mixture of summertime GPLLJ moisture and wintertime westerly moisture.</p>
      <p id="d1e7737">That Miocene soil carbonates formed in the shoulder seasons would help to reconcile our findings of a largely invariant spatial pattern of <inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> since the Miocene with previously published records that show a large (2 ‰–4 ‰) increase in <inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> during the Pliocene–Quaternary in the Great Plains <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx108 bib1.bibx27" id="paren.136"/>. We suggest that this discrepancy (i.e., a static late Miocene <inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> spatial pattern but increasing <inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> in the Pliocene–Quaternary) likely arises due to changes in the seasonality of soil carbonate formation between the late Miocene and Quaternary. For example, as the world cooled into the Quaternary, the southward shift of the westerly jet would suppress the springtime GPLLJ, while enhancing GPLLJ precipitation over the Great Plains during the summer – the opposite response than observed in GCMs as CO<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rises <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx15 bib1.bibx171" id="paren.137"/>. Such a seasonality shift might shift the timing of soil carbonate formation towards the summer, elevating <inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> as it records higher summertime <inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M526" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx95" id="paren.138"/> and thereby elevating <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> relative to the late Miocene.</p>
</sec>
<sec id="Ch1.S6.SS2.SSS3">
  <label>6.2.3</label><title>Imprecision in chronologies and timing of carbonate formation</title>
      <p id="d1e7910">Our interpretation hinges upon correlating sections across the vast expanse of the Great Plains; however, ages for many Ogallala sections are only poorly constrained, typically via biostratigraphy <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx135 bib1.bibx155 bib1.bibx166 bib1.bibx167 bib1.bibx154" id="paren.139"/> or, less frequently, via radiometric dates <xref ref-type="bibr" rid="bib1.bibx150 bib1.bibx25 bib1.bibx60 bib1.bibx139" id="paren.140"/>. Where biostratigraphy has been used, age resolution is typically limited to the scale of the North American land mammal ages. In many places in eastern New Mexico, the Ogallala Formation is recognized by its clay lithology and its topographic position relative to the laterally extensive caprock to the east <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx47" id="paren.141"/>. Further, the character of Ogallala deposition – large alluvial megafans that gradually filled in pre-existing valleys and covered intervening interfluves combined with its relative thinness – suggests that deposition was often sporadic with frequent and cryptic unconformities associated with many of the paleosols distributed throughout the formation. Consequently, correlations across the entirety of the Ogallala Formation are likely to be imprecise and our treatment of the data likely mixes data from the late middle Miocene and the latest Miocene.</p>
      <?pagebreak page1054?><p id="d1e7922">Nevertheless, this imprecision in correlation likely does not affect our conclusions. We note that nearly all of our sections have low <inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> variability (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b; Table <xref ref-type="table" rid="Ch1.T1"/>), suggesting that, throughout deposition of the Ogallala, there was very little change in <inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M532" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>.  <xref ref-type="bibr" rid="bib1.bibx97" id="text.142"/>, analyzing two cores drilled through the Ogallala Formation in western Kansas, found similarly very low variability in <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M534" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> across the 50–60 m of sampled core material. This low variability, which contrasts with sections located to the west within the North American Cordillera, indicates that even large discrepancies in correlated sections likely do not affect our overall conclusion that the south-to-north <inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient has remained similar to today since the late Miocene.</p>
      <p id="d1e8013">Further, previously published Neogene <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> records show almost no change in <inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> during the Miocene (<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx42" id="altparen.143"/><?xmltex \hack{\egroup}?>; <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx27" id="altparen.144"/>), again suggesting that imprecision in our correlations is not likely to impact our conclusions. In contrast, modeling studies that have examined changes in <inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M542" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in the Great Plains in the Miocene have suggested that the south-to-north <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient should increase by several per mille as a consequence of higher CO<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and a shallower Equator-to-pole temperature gradient <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx89" id="paren.145"/>. These studies used boundary conditions thought to approximate the middle Miocene, with atmospheric CO<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> of 560 ppm. Disagreement between our results and these model results may arise for a variety of reasons. One such reason may revolve around uncertainty in dating of the Ogallala Formation. While these modeling studies used middle Miocene boundary conditions and 560 ppm CO<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, our data likely come from the late Miocene, following substantial cooling after the peak of Neogene warmth during the middle Miocene <xref ref-type="bibr" rid="bib1.bibx61" id="paren.146"/>. Consequently, the environment in which much of the Ogallala Formation was deposited may differ from that simulated by <xref ref-type="bibr" rid="bib1.bibx36" id="text.147"/> and  <xref ref-type="bibr" rid="bib1.bibx89" id="text.148"/>. Alternatively, given the difficulty in simulating the land–atmosphere coupling over the Great Plains in modern-day simulations <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx86 bib1.bibx171" id="paren.149"/> and the importance of the land surface in modulating <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula>, minor misrepresentations in the land surface parameterizations within these models may yield outsize impacts on the simulated <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M551" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> gradient. While a thorough review comparing our results to simulated Miocene <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M553" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> over the Great Plains is outside the scope of this paper, our new spatially resolved dataset provides an opportunity to test model predictions of late Miocene climate simulation skill over central North America.</p>
      <p id="d1e8210">We additionally assume that the authigenic carbonates that we sampled formed in the late Miocene. Several studies <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx136" id="paren.150"/> have noted that some caliche units in the northern and central Great Plains may reflect post-depositional case hardening rather than syn-depositional carbonate formation based upon lateral discontinuities in these units. Given the low variance in our Ogallala samples (typically much less than 1 ‰), we suggest that all of the carbonates in our study formed from the same meteoric water. Further, the <inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of our carbonate samples are relatively low (<inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ‰). Given the expansion of C<inline-formula><mml:math id="M556" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> plants during the Plio-Pleistocene, the <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of authigenic carbonates formed in the Plio-Pleistocene are substantially higher (<inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ‰) <xref ref-type="bibr" rid="bib1.bibx41" id="paren.151"/>. Thus, the low <inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of our carbonate samples indicate that they formed during the late Miocene under a dominantly C<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> grassland environment. The only exception to these low <inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values in our sections is from carbonates sampled in eastern New Mexico from outcrops identified as Ogallala by    <xref ref-type="bibr" rid="bib1.bibx47" id="text.152"/>. In many of these sections, there are authigenic carbonate samples with <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and frequently the caprock caliche samples have <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values approaching 0 ‰ (Table S1 in  <xref ref-type="bibr" rid="bib1.bibx98" id="altparen.153"/>). This suggests that these outcrops either may not be correlative with the Ogallala <xref ref-type="bibr" rid="bib1.bibx60" id="paren.154"/> or that authigenic carbonate formation in these sections occurred substantially later than Ogallala deposition. However, we have no independent age constraints with which to better constrain the ages of these units, and we therefore include them in our study. We do note that the reconstructed <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M566" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> from these sections is indistinguishable from modern <inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M568" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in eastern New Mexico, further suggesting that the long-term pattern of <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M570" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in the Great Plains has remained invariant. Thus, the combination of the low <inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values and the low variance in our <inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M573" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data suggests that our assumption of late Miocene carbonate formation is robust.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S7">
  <label>7</label><title>Implications</title>
      <p id="d1e8453">That atmospheric circulation over the Great Plains has remained relatively constant since the late Miocene provides important context for understanding how Great Plains hydroclimate and environments may respond to higher atmospheric CO<inline-formula><mml:math id="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Further, our data provide insight into the climatic and tectonic controls that may have driven deposition of the Ogallala Formation. In both cases, our data places critical constraints on our understanding of both past environments and the future evolution of climate in the Great Plains.</p>
<sec id="Ch1.S7.SS1">
  <label>7.1</label><?xmltex \opttitle{Response of Great Plains hydroclimate to CO${}_{2}$}?><title>Response of Great Plains hydroclimate to CO<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p id="d1e8481">Of concern as atmospheric CO<inline-formula><mml:math id="M576" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rises is whether and how the climatological 100th meridian, which demarcates the semi-arid west from the humid east, will shift. The current position of this climatological 100th meridian is partly set today by the boundary between dry westerly air masses that have lost much of their moisture from passage over the North American Cordillera and moist southerly masses transported by the GPLLJ. If dynamical relative shifts in the strength of these two predominant circulation systems were to occur as CO<inline-formula><mml:math id="M577" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rises, one might expect the boundary between low <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> and high <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M581" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> to shift. For example, model simulations indicate that the poleward shift of the westerly jet and North Atlantic Subtropical High with warming should enhance GPLLJ moisture transport in the spring but suppress it in the summer <xref ref-type="bibr" rid="bib1.bibx171 bib1.bibx172" id="paren.155"/>. If the overall tendency were a weaker GPLLJ with warming, we might expect less northward moisture transport and thereby a shift of this <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M583" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> boundary southward and eastward. Instead, we find that the spatial pattern of <inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> has remained unchanged<?pagebreak page1055?> since the late Miocene, suggesting that the relative strength of these two circulation systems was not substantially different in a warmer, higher-CO<inline-formula><mml:math id="M586" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> world. Such findings bolster GCM results that, overall, mean wet-season precipitation does not change substantially and that therefore the boundary between the GPLLJ and the westerlies is not overly sensitive to warming.</p>
      <p id="d1e8596">Though dynamical shifts in circulation may affect hydroclimate over the Great Plains, additional thermodynamic mechanisms have been invoked to explain shifts in the climatological 100th meridian with warming. Because PET will rise faster than <inline-formula><mml:math id="M587" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> across the Plains, aridity will increase <xref ref-type="bibr" rid="bib1.bibx129 bib1.bibx130" id="paren.156"/>. However, this will be complicated by how actual ET – and therefore the partitioning of moisture returned to the atmosphere versus to runoff – responds to warming. How ET changes with warming depends on a variety of factors including plant water use efficiency <xref ref-type="bibr" rid="bib1.bibx148 bib1.bibx91" id="paren.157"/> and the temporal distribution of precipitation <xref ref-type="bibr" rid="bib1.bibx126" id="paren.158"/>. Our results imply that either (1) the effect of increasing PET relative to <inline-formula><mml:math id="M588" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> had a small effect on net rainout – and hence <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M590" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> – in the Miocene, or (2) decreases in ET efficiency with warming, perhaps driven by more efficient plant water use <xref ref-type="bibr" rid="bib1.bibx91" id="paren.159"/> and which would reduce <inline-formula><mml:math id="M591" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O return to the atmosphere, counteracted the expected increase in <inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M593" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> due to increasing PET relative to <inline-formula><mml:math id="M594" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>.</p>
      <p id="d1e8683">Though the late Miocene was likely warmer than today with higher than pre-industrial CO<inline-formula><mml:math id="M595" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx103 bib1.bibx143 bib1.bibx24" id="paren.160"/>, the precise global climate that our new data reflect is uncertain. This uncertainty arises not only because of the chronological uncertainty associated with the Ogallala Formation, but also due to uncertainty in both global temperature and CO<inline-formula><mml:math id="M596" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstructions. The late Miocene may have seen global temperatures elevated by 5° higher relative to pre-industrial <xref ref-type="bibr" rid="bib1.bibx162 bib1.bibx119" id="paren.161"/> and atmospheric CO<inline-formula><mml:math id="M597" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> between 350 and 500 ppm <xref ref-type="bibr" rid="bib1.bibx151 bib1.bibx12 bib1.bibx24" id="paren.162"/>. However, these estimates – particularly for CO<inline-formula><mml:math id="M598" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> – remain imprecise, and it is therefore difficult to determine just how insensitive the Great Plains hydroclimate is to warming and higher CO<inline-formula><mml:math id="M599" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Further, while the land surface plays a critical role in modifying Great Plains hydroclimate, the late Miocene Great Plains were already dominated by grassland ecosystems <xref ref-type="bibr" rid="bib1.bibx146" id="paren.163"/>. Though C<inline-formula><mml:math id="M600" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> plants have a greater water use efficiency than C<inline-formula><mml:math id="M601" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> plants <xref ref-type="bibr" rid="bib1.bibx113" id="paren.164"/>, the invariant <inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M603" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> spatial pattern suggests that overall ecosystem water use (i.e., transpiration to the atmosphere) was likely similar to today and overall hydroclimate in the late Miocene resembled the hydroclimate today in the Great Plains.</p>
</sec>
<sec id="Ch1.S7.SS2">
  <label>7.2</label><title>Implications for understanding the origin of the Ogallala Formation</title>
      <p id="d1e8794">Why much of the Great Plains shifted from a dominantly erosive landscape to a depositional landscape for several million years, before returning to the dominantly erosive landscape of today, has remained a major outstanding question in North American geology <xref ref-type="bibr" rid="bib1.bibx59" id="paren.165"/>. As the sediments of the Ogallala Formation are sourced in the Rocky Mountains, this question has been intimately linked to what process drove this major late Cenozoic erosional event, producing the alluvial fans and megafans that blanketed the Great Plains in the late Miocene <xref ref-type="bibr" rid="bib1.bibx157 bib1.bibx110" id="paren.166"/>. Paleoaltimetry data have suggested that much of the North American Cordillera has been high since the Eocene <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx107" id="paren.167"/>. If mean elevation has not changed for much of the Cenozoic, then changes in climate – perhaps driven by increasingly variable, orbitally controlled glacial cycles – may have driven the increase in erosion <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx52 bib1.bibx170" id="paren.168"/>. In contrast, multiple studies that have analyzed paleo-slopes of the Ogallala Formation fluvial sediments conclude that the Ogallala Formation must have been tilted post-deposition due to a long-wavelength uplift <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx59" id="paren.169"/>, perhaps associated with dynamic topography effects driven by continued subduction of the Farallon Plate <xref ref-type="bibr" rid="bib1.bibx164" id="paren.170"/>.</p>
      <p id="d1e8816">Our data suggest that hydroclimate was not substantially different in the late Miocene and was therefore unlikely to be the proximal cause of widespread erosion of the Rocky Mountains and deposition of the Ogallala Formation. Instead, we suggest that, because overall hydroclimate – and, in particular, runoff – was similar to today, deposition of the Ogallala Formation must have been driven by long-wavelength tilting of the North American plate that uplifted portions of the Rocky Mountains. Estimates of the uplift necessary to explain post-depositional tilting are less than 1 km <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx93" id="paren.171"/>. Such uplift was likely not substantial enough to either (1) be detectable in paleo-altimetry datasets or (2) substantially modify the strength of the GPLLJ <xref ref-type="bibr" rid="bib1.bibx69" id="paren.172"/>. Uplift might be expected to result in lower <inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M605" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> in late Cenozoic basins in the Rocky Mountains due to orographic forcing of precipitation. However, in this region, orographic forcing is limited to GPLLJ storms that reach the Front Range, and continued mixing with low-<inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M607" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> westerly moisture would make it very difficult to discern such a signal. We thus conclude that hydroclimate was not substantially different in the late Miocene in the Great Plains and that long-wavelength tilting must be a necessary component of the formation of the Ogallala Formation.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page1056?><sec id="Ch1.S8" sec-type="conclusions">
  <label>8</label><title>Conclusion</title>
      <p id="d1e8876">Our new spatially resolved late Miocene <inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M609" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> data from across the Great Plains reveal that the spatial pattern of reconstructed <inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:math></inline-formula> is indistinguishable from the spatial pattern of modern meteoric water <inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. Despite changes in global climate, we suggest that this static <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O spatial pattern reflects an atmospheric circulation system over the Great Plains that in the late Miocene was largely identical to today: wintertime westerly air masses, dried by transit over the North American Cordillera, delivered low-<inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O moisture to the northern Great Plains, while southerly moisture, transported by the Great Plains low-level jet, brought high-<inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O moisture to the southern Great Plains. Thus, on the timescales preserved within the Ogallala Formation, the mixing zone between these two circulation systems was similar to today. Given that these two atmospheric circulation systems are responsible for a nearly 15 ‰ <inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O gradient north to south along the Great Plains, these results appear to be robust to assumptions regarding temperature, evaporation, and precipitation seasonality changes since the late Miocene and also insensitive to uncertainties in our correlations across the expanse of the Ogallala Formation.</p>
      <p id="d1e8975">These results suggest that, on geological timescales, large-scale hydroclimate in the Great Plains is relatively insensitive to changes in global temperature and atmospheric CO<inline-formula><mml:math id="M617" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Model projections tend to indicate that mean annual precipitation will not increase substantially as CO<inline-formula><mml:math id="M618" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rises <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx171" id="paren.173"/>, and our results support this contention, in that a static <inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O spatial pattern suggests that net rainout in the late Miocene across the Great Plains was likely not substantially different than today. In contrast, our results do not support projections that aridity will increase over the Plains <xref ref-type="bibr" rid="bib1.bibx129" id="paren.174"/>. While increases in PET are robust in models <xref ref-type="bibr" rid="bib1.bibx125" id="paren.175"/>, our results suggest that countervailing decreases in actual ET efficiency likely offset any change in PET, yielding an approximately constant spatial pattern of <inline-formula><mml:math id="M620" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M621" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ET. Further, our results indicate that large-scale changes in climate <xref ref-type="bibr" rid="bib1.bibx170" id="paren.176"/> are likely not the cause of the widespread erosional event responsible for deposition of Ogallala sediments. Instead, the fact that Great Plains hydroclimate in the late Miocene was similar to today supports the notion that long-wavelength uplift <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx71 bib1.bibx164" id="paren.177"/> shifted the Great Plains from a dominantly erosive landscape to an aggradational one. <?xmltex \hack{\newpage}?></p>
      <p id="d1e9038">The Great Plains lie at a unique climatic and geologic intersection, and this confluence has inspired more than a century of work to understand the relationship between climate, geology, and ecosystems over geologic time in the Plains <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx118 bib1.bibx131 bib1.bibx41 bib1.bibx69 bib1.bibx130 bib1.bibx164" id="paren.178"/>. However, the sharp geologic and climatic gradients that characterize this landscape complicate efforts to understand past changes. Nevertheless, our results suggest that spatially resolved datasets provide a powerful means to constrain the position and shape of these gradients in the past. Additional work that utilizes newly developed proxy systems and/or pairs well-established proxies with our continental-scale data will provide an even sharper picture of the climatic and geologic forces that have shaped this remarkable landscape.</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<?pagebreak page1057?><app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title/>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T2"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{A1}?><label>Table A1</label><caption><p id="d1e9059">Input parameters for the reactive transport model. All inputs are retrieved from NARR data except <inline-formula><mml:math id="M622" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>, which is set to the global average of 2.6 (<xref ref-type="bibr" rid="bib1.bibx53" id="altparen.179"/>), and the transpired fraction of ET, which is set to 0.64 (<xref ref-type="bibr" rid="bib1.bibx51" id="altparen.180"/>). </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">GPLLJ trajectory</oasis:entry>
         <oasis:entry colname="col3">Westerly trajectory</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Temperature (MAT)</oasis:entry>
         <oasis:entry colname="col2">295 K</oasis:entry>
         <oasis:entry colname="col3">287 K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Potential ET (PET)</oasis:entry>
         <oasis:entry colname="col2">2150 mm yr<inline-formula><mml:math id="M623" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1960 mm yr<inline-formula><mml:math id="M624" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind speed (<inline-formula><mml:math id="M625" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">2 m s<inline-formula><mml:math id="M626" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">3.2 m s<inline-formula><mml:math id="M627" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Precipitable water (<inline-formula><mml:math id="M628" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">33.6 kg m<inline-formula><mml:math id="M629" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">16.2 kg m<inline-formula><mml:math id="M630" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative humidity (RH)</oasis:entry>
         <oasis:entry colname="col2">80 %</oasis:entry>
         <oasis:entry colname="col3">74 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Dryness index (DI)</oasis:entry>
         <oasis:entry colname="col2">2.2</oasis:entry>
         <oasis:entry colname="col3">3.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ω</oasis:entry>
         <oasis:entry colname="col2">2.6</oasis:entry>
         <oasis:entry colname="col3">2.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Transpired fraction of ET (<inline-formula><mml:math id="M631" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M632" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ET)</oasis:entry>
         <oasis:entry colname="col2">0.64</oasis:entry>
         <oasis:entry colname="col3">0.64</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{A1}?></table-wrap>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T3"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{A2}?><label>Table A2</label><caption><p id="d1e9299">Site averages for previously published data, accessed via the PATCH Lab (<xref ref-type="bibr" rid="bib1.bibx84" id="altparen.181"/>). Values of <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C are reported in ‰ relative to VPDB. Values of <inline-formula><mml:math id="M634" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O are reported in ‰ relative to VSMOW. No standard deviation or range is reported for sites that only include one sample. Note that n/a means not applicable.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Lat</oasis:entry>
         <oasis:entry colname="col2">Long</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M638" display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M640" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col9">Age</oasis:entry>
         <oasis:entry colname="col10">MAT</oasis:entry>
         <oasis:entry colname="col11">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(°N)</oasis:entry>
         <oasis:entry colname="col2">(°E)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">range</oasis:entry>
         <oasis:entry colname="col9">(Ma)</oasis:entry>
         <oasis:entry colname="col10">(°C)</oasis:entry>
         <oasis:entry colname="col11"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">28.29</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M645" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M646" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.29</oasis:entry>
         <oasis:entry colname="col4">1.29</oasis:entry>
         <oasis:entry colname="col5">25.75</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M647" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.09</oasis:entry>
         <oasis:entry colname="col7">0.74</oasis:entry>
         <oasis:entry colname="col8">2.65</oasis:entry>
         <oasis:entry colname="col9">8.50</oasis:entry>
         <oasis:entry colname="col10">22.81</oasis:entry>
         <oasis:entry colname="col11">Godfrey et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28.34</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M648" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M649" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.49</oasis:entry>
         <oasis:entry colname="col4">0.67</oasis:entry>
         <oasis:entry colname="col5">25.99</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M650" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.86</oasis:entry>
         <oasis:entry colname="col7">0.26</oasis:entry>
         <oasis:entry colname="col8">0.87</oasis:entry>
         <oasis:entry colname="col9">8.50</oasis:entry>
         <oasis:entry colname="col10">22.82</oasis:entry>
         <oasis:entry colname="col11">Godfrey et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28.50</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M651" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>98.10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M652" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.27</oasis:entry>
         <oasis:entry colname="col4">0.81</oasis:entry>
         <oasis:entry colname="col5">26.39</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M653" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.44</oasis:entry>
         <oasis:entry colname="col7">0.30</oasis:entry>
         <oasis:entry colname="col8">0.70</oasis:entry>
         <oasis:entry colname="col9">8.00</oasis:entry>
         <oasis:entry colname="col10">22.89</oasis:entry>
         <oasis:entry colname="col11">Godfrey et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28.65</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M654" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97.38</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M655" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.62</oasis:entry>
         <oasis:entry colname="col4">0.10</oasis:entry>
         <oasis:entry colname="col5">27.02</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M656" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.01</oasis:entry>
         <oasis:entry colname="col7">0.11</oasis:entry>
         <oasis:entry colname="col8">0.32</oasis:entry>
         <oasis:entry colname="col9">8.50</oasis:entry>
         <oasis:entry colname="col10">22.00</oasis:entry>
         <oasis:entry colname="col11">Godfrey et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28.80</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M657" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97.80</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M658" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.65</oasis:entry>
         <oasis:entry colname="col4">1.89</oasis:entry>
         <oasis:entry colname="col5">26.34</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M659" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.65</oasis:entry>
         <oasis:entry colname="col7">0.66</oasis:entry>
         <oasis:entry colname="col8">1.90</oasis:entry>
         <oasis:entry colname="col9">8.00</oasis:entry>
         <oasis:entry colname="col10">22.14</oasis:entry>
         <oasis:entry colname="col11">Godfrey et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">33.41</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M660" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.56</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M661" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.51</oasis:entry>
         <oasis:entry colname="col4">0.68</oasis:entry>
         <oasis:entry colname="col5">26.41</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M662" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.64</oasis:entry>
         <oasis:entry colname="col7">0.49</oasis:entry>
         <oasis:entry colname="col8">1.70</oasis:entry>
         <oasis:entry colname="col9">6.80</oasis:entry>
         <oasis:entry colname="col10">17.39</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">33.50</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M663" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.60</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M664" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.91</oasis:entry>
         <oasis:entry colname="col4">0.36</oasis:entry>
         <oasis:entry colname="col5">26.58</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M665" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.52</oasis:entry>
         <oasis:entry colname="col7">0.34</oasis:entry>
         <oasis:entry colname="col8">1.90</oasis:entry>
         <oasis:entry colname="col9">13.05</oasis:entry>
         <oasis:entry colname="col10">17.14</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">34.90</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M666" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M667" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.20</oasis:entry>
         <oasis:entry colname="col4">0.33</oasis:entry>
         <oasis:entry colname="col5">25.81</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M668" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.69</oasis:entry>
         <oasis:entry colname="col7">0.23</oasis:entry>
         <oasis:entry colname="col8">0.80</oasis:entry>
         <oasis:entry colname="col9">6.40</oasis:entry>
         <oasis:entry colname="col10">15.37</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">35.70</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M669" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100.50</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M670" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.92</oasis:entry>
         <oasis:entry colname="col4">0.89</oasis:entry>
         <oasis:entry colname="col5">26.16</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M671" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.24</oasis:entry>
         <oasis:entry colname="col7">0.19</oasis:entry>
         <oasis:entry colname="col8">0.60</oasis:entry>
         <oasis:entry colname="col9">6.65</oasis:entry>
         <oasis:entry colname="col10">15.82</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">36.10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M672" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100.00</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M673" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.37</oasis:entry>
         <oasis:entry colname="col4">0.32</oasis:entry>
         <oasis:entry colname="col5">25.83</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M674" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.69</oasis:entry>
         <oasis:entry colname="col7">0.47</oasis:entry>
         <oasis:entry colname="col8">0.90</oasis:entry>
         <oasis:entry colname="col9">9.60</oasis:entry>
         <oasis:entry colname="col10">15.29</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">36.18</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M675" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100.00</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M676" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.41</oasis:entry>
         <oasis:entry colname="col4">0.91</oasis:entry>
         <oasis:entry colname="col5">25.92</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M677" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.62</oasis:entry>
         <oasis:entry colname="col7">0.42</oasis:entry>
         <oasis:entry colname="col8">1.10</oasis:entry>
         <oasis:entry colname="col9">8.75</oasis:entry>
         <oasis:entry colname="col10">15.24</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">39.40</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M678" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100.10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M679" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.99</oasis:entry>
         <oasis:entry colname="col4">0.44</oasis:entry>
         <oasis:entry colname="col5">23.53</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M680" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.60</oasis:entry>
         <oasis:entry colname="col7">0.57</oasis:entry>
         <oasis:entry colname="col8">1.60</oasis:entry>
         <oasis:entry colname="col9">9.55</oasis:entry>
         <oasis:entry colname="col10">12.72</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">41.20</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M681" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.70</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M682" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.57</oasis:entry>
         <oasis:entry colname="col4">0.78</oasis:entry>
         <oasis:entry colname="col5">21.31</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M683" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.36</oasis:entry>
         <oasis:entry colname="col7">0.43</oasis:entry>
         <oasis:entry colname="col8">1.50</oasis:entry>
         <oasis:entry colname="col9">7.25</oasis:entry>
         <oasis:entry colname="col10">10.47</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">41.24</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M684" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>101.81</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M685" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.04</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">19.32</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M686" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.24</oasis:entry>
         <oasis:entry colname="col7">0.95</oasis:entry>
         <oasis:entry colname="col8">2.80</oasis:entry>
         <oasis:entry colname="col9">7.25</oasis:entry>
         <oasis:entry colname="col10">10.92</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">41.30</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M687" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>102.40</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M688" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.63</oasis:entry>
         <oasis:entry colname="col4">0.44</oasis:entry>
         <oasis:entry colname="col5">19.30</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M689" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.29</oasis:entry>
         <oasis:entry colname="col7">0.85</oasis:entry>
         <oasis:entry colname="col8">3.70</oasis:entry>
         <oasis:entry colname="col9">8.65</oasis:entry>
         <oasis:entry colname="col10">10.82</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">41.47</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M690" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.07</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M691" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.60</oasis:entry>
         <oasis:entry colname="col4">0.14</oasis:entry>
         <oasis:entry colname="col5">17.73</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M692" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.90</oasis:entry>
         <oasis:entry colname="col7">0.15</oasis:entry>
         <oasis:entry colname="col8">0.21</oasis:entry>
         <oasis:entry colname="col9">7.00</oasis:entry>
         <oasis:entry colname="col10">10.65</oasis:entry>
         <oasis:entry colname="col11">Fan et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">41.50</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M693" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M694" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.79</oasis:entry>
         <oasis:entry colname="col4">0.45</oasis:entry>
         <oasis:entry colname="col5">18.64</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M695" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.99</oasis:entry>
         <oasis:entry colname="col7">1.05</oasis:entry>
         <oasis:entry colname="col8">4.40</oasis:entry>
         <oasis:entry colname="col9">9.10</oasis:entry>
         <oasis:entry colname="col10">10.63</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">41.60</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M696" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>102.78</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M697" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.00</oasis:entry>
         <oasis:entry colname="col4">n/a</oasis:entry>
         <oasis:entry colname="col5">18.34</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M698" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.32</oasis:entry>
         <oasis:entry colname="col7">n/a</oasis:entry>
         <oasis:entry colname="col8">0.00</oasis:entry>
         <oasis:entry colname="col9">9.00</oasis:entry>
         <oasis:entry colname="col10">10.53</oasis:entry>
         <oasis:entry colname="col11">Fan et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.37</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M699" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>107.06</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M700" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.50</oasis:entry>
         <oasis:entry colname="col4">n/a</oasis:entry>
         <oasis:entry colname="col5">15.35</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M701" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.20</oasis:entry>
         <oasis:entry colname="col7">n/a</oasis:entry>
         <oasis:entry colname="col8">0.00</oasis:entry>
         <oasis:entry colname="col9">10.50</oasis:entry>
         <oasis:entry colname="col10">6.93</oasis:entry>
         <oasis:entry colname="col11">Fan et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.40</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M702" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>98.20</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M703" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.00</oasis:entry>
         <oasis:entry colname="col4">0.28</oasis:entry>
         <oasis:entry colname="col5">22.90</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M704" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.95</oasis:entry>
         <oasis:entry colname="col7">0.14</oasis:entry>
         <oasis:entry colname="col8">0.20</oasis:entry>
         <oasis:entry colname="col9">12.69</oasis:entry>
         <oasis:entry colname="col10">9.74</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.40</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M705" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>98.20</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M706" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.36</oasis:entry>
         <oasis:entry colname="col4">0.91</oasis:entry>
         <oasis:entry colname="col5">24.84</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M707" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.01</oasis:entry>
         <oasis:entry colname="col7">0.93</oasis:entry>
         <oasis:entry colname="col8">2.60</oasis:entry>
         <oasis:entry colname="col9">13.70</oasis:entry>
         <oasis:entry colname="col10">9.74</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.40</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M708" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.22</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M709" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.18</oasis:entry>
         <oasis:entry colname="col4">0.50</oasis:entry>
         <oasis:entry colname="col5">22.56</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M710" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.25</oasis:entry>
         <oasis:entry colname="col7">0.92</oasis:entry>
         <oasis:entry colname="col8">2.90</oasis:entry>
         <oasis:entry colname="col9">17.50</oasis:entry>
         <oasis:entry colname="col10">9.89</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.49</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M711" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103.85</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M712" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.60</oasis:entry>
         <oasis:entry colname="col4">0.14</oasis:entry>
         <oasis:entry colname="col5">18.29</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M713" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.59</oasis:entry>
         <oasis:entry colname="col7">0.37</oasis:entry>
         <oasis:entry colname="col8">0.52</oasis:entry>
         <oasis:entry colname="col9">18.50</oasis:entry>
         <oasis:entry colname="col10">9.63</oasis:entry>
         <oasis:entry colname="col11">Fan et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.58</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M714" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>107.19</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M715" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.10</oasis:entry>
         <oasis:entry colname="col4">0.17</oasis:entry>
         <oasis:entry colname="col5">13.57</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M716" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.92</oasis:entry>
         <oasis:entry colname="col7">1.64</oasis:entry>
         <oasis:entry colname="col8">2.89</oasis:entry>
         <oasis:entry colname="col9">14.17</oasis:entry>
         <oasis:entry colname="col10">7.19</oasis:entry>
         <oasis:entry colname="col11">Fan et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.72</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M717" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>108.19</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M718" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.27</oasis:entry>
         <oasis:entry colname="col4">2.41</oasis:entry>
         <oasis:entry colname="col5">17.06</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M719" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.79</oasis:entry>
         <oasis:entry colname="col7">1.94</oasis:entry>
         <oasis:entry colname="col8">5.73</oasis:entry>
         <oasis:entry colname="col9">13.02</oasis:entry>
         <oasis:entry colname="col10">5.72</oasis:entry>
         <oasis:entry colname="col11">Chamberlain et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">42.80</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M720" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100.00</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M721" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.49</oasis:entry>
         <oasis:entry colname="col4">1.16</oasis:entry>
         <oasis:entry colname="col5">21.67</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M722" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.16</oasis:entry>
         <oasis:entry colname="col7">1.61</oasis:entry>
         <oasis:entry colname="col8">3.80</oasis:entry>
         <oasis:entry colname="col9">14.30</oasis:entry>
         <oasis:entry colname="col10">9.80</oasis:entry>
         <oasis:entry colname="col11">Fox and Koch (2003)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{A2}?></table-wrap>

<?xmltex \hack{\clearpage}?>
</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e10964">The R code for the vapor transport model has been published as supporting material to <xref ref-type="bibr" rid="bib1.bibx83" id="text.182"/>.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e10973">The datasets used in this study are listed below. <list list-type="bullet"><list-item>
      <p id="d1e10978">Compiled, published <inline-formula><mml:math id="M723" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O data (Appendix Table <xref ref-type="table" rid="App1.Ch1.S1.T3"/>, accessed via the PATCH Lab <uri>https://geocentroid.shinyapps.io/PATCH-Lab/</uri>, <xref ref-type="bibr" rid="bib1.bibx84" id="altparen.183"/>)</p></list-item><list-item>
      <p id="d1e11001">Modern water isotope data (<uri>https://wateriso.utah.edu/waterisotopes/pages/spatial_db/SPATIAL_DB.html</uri>, <xref ref-type="bibr" rid="bib1.bibx160" id="altparen.184"/>)</p></list-item><list-item>
      <p id="d1e11011">North American Regional Reanalysis <xref ref-type="bibr" rid="bib1.bibx104" id="paren.185"/></p></list-item><list-item>
      <p id="d1e11017">Table S1, available from the data repository Dryad (<xref ref-type="bibr" rid="bib1.bibx98" id="altparen.186"/>, <ext-link xlink:href="https://doi.org/10.5061/dryad.5hqbzkhc5" ext-link-type="DOI">10.5061/dryad.5hqbzkhc5</ext-link>)</p></list-item></list></p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e11030">JKCR conceived the project idea, acquired funding, and provided overall supervision. LM conducted the investigation, curated the data, conducted the formal analysis, and prepared the original draft of this paper. TK provided resources and supervised the use of the vapor transport model. All authors contributed to the review and editing of the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e11036">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="d1e11042">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e11048">This study benefited from discussions with Sean Willett regarding the Ogallala Formation and landscape evolution. We thank Sean Willett for first piquing our interest in this unique and still mysterious paleo-landscape. We thank Madalina Jaggi, Ulrich Treffert, Niklaus Loeffler, and Emilija Krsnik for assistance in the laboratory, Katharina Methner for field assistance, and Dan Koning and Frank Pazzaglia for assistance with finding key outcrops in New Mexico. We also benefited from discussions with Vincenzo Picotti, Giuditta Fellin, and Derek Sjostrom regarding Ogallala paleosol and sandstone petrology. We thank Rusty Winn of RE Janes Gravel Co (Lubbock, TX, USA) for facilitating our access and guiding us to remarkable Ogallala outcrops in the southern Great Plains. We also thank Phillip Osborne for permission to sample on his property and the Wildcat Bluff Nature Center for permission to sample within their preserve. Samples from Lake McConaughy State Recreation Area were collected under a permit issued by the Central Nebraska Public Power and Irrigation District, and samples collected at Palo Duro and Caprock Canyons state parks in Texas were collected under permit 2018-R5-08. Lastly, we thank an anonymous review, David L. Fox, and  Jon Smith for reviews that substantially improved this paper. This study was funded by an ETH SEED grant, ETH and Alexander von Humboldt postdoctoral fellowships, and NSF grant EAR-2202916 to Rugenstein.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e11053">This research has been supported by the ETH Zürich Foundation (fellowship grant no. 0-20282-17, career seed grant no. 0-20435-18), the Alexander von Humboldt Foundation, and the NSF Directorate for Geosciences (grant no. EAR-2202916).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e11059">This paper was edited by Alberto Reyes and reviewed by David L. Fox and one anonymous referee.</p>
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