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			<titleStmt><title level='a'>Competing Influences of Land Use and Greenhouse Gas Emissions on Mississippi River Basin Hydroclimate Simulated Over the Last Millennium</title></titleStmt>
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				<publisher>Wiley</publisher>
				<date>07/01/2024</date>
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				<bibl> 
					<idno type="par_id">10637579</idno>
					<idno type="doi">10.1029/2024PA004902</idno>
					<title level='j'>Paleoceanography and Paleoclimatology</title>
<idno>2572-4517</idno>
<biblScope unit="volume">39</biblScope>
<biblScope unit="issue">7</biblScope>					

					<author>Kelsey Murphy</author><author>Sylvia Dee</author><author>James Doss‐Gollin</author><author>Kieran_B J Dunne</author><author>Michelle O’Donnell</author><author>Samuel Muñoz</author>
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			<abstract><ab><![CDATA[<title>Abstract</title> <p>The Mississippi River is a vital economic corridor used for generating hydroelectric power, transporting agricultural products, and municipal and industrial water use. Communities, industries, and infrastructure along the Mississippi River face an uncertain future as it grows more susceptible to climate extremes. A key challenge is determining whether Mississippi river discharge will increase or decrease during the 21st century. Because the 20th century record is limited in time, paleoclimate data and model simulations provide enhanced understanding of the basin's hydroclimate response to external forcing. Here, we investigate how anthropogenic forcing in the 20th century shifts the statistics of river discharge compared to a Last Millennium (LM) baseline using simulations from the Community Earth System Model Last Millennium Ensemble. We present evidence that the 20th century exhibits wetter conditions (i.e., increased river discharge) over the basin compared to the pre‐industrial, and that land use/land cover changes have a significant control on the hydroclimatic response. Conversely, while precipitation is projected to increase in the 21st century, the basin is generally drier (i.e., decreased river discharge) compared to the 20th century. Overall, we find that changes in greenhouse gases contribute to a lower risk of extreme discharge and flooding in the basin during the 20th century, while land use changes contribute to increased risk of flooding. The additional climate information afforded by the LM simulations offers an improved understanding of what drove extreme flooding events in the past, which can help inform the development of future regional flood mitigation strategies.</p>]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Between 1980 and 2022, the United States (US) experienced 37 "billion-dollar" flooding events, with a total cost of $177.9 billion dollars. During that same time, there have been 30 "billion-dollar" US drought events, costing a total of $327.7 billion dollars <ref type="bibr">(Smith, 2020)</ref>. Both the frequency and intensity of heavy precipitation and drought events are expected to increase in response to higher global temperatures, especially in regions already prone to these hazards <ref type="bibr">(IPCC, 2022)</ref>. Consequently, the total costs of these billion-dollar water-related events will likely continue to rise. Many regions over the continental US are expected to see an increase in heavy precipitation; the Southwest and Southern Great Plains are likely to remain particularly susceptible to intense drought periods <ref type="bibr">(Hayhoe et al., 2018)</ref>.</p><p>The Mississippi River Basin (MRB), which covers about 40% of the US, is no exception to changing hydroclimatic hazards as greenhouse warming continues. In 2011, the Mississippi River and Tributaries (MR&amp;T) project, a system of floodways, spillways, and levees initiated in the 1928 Flood Control Act, withstood one of the largest flooding events in the observational period on the Lower Mississippi River <ref type="bibr">(DeHaan et al., 2012)</ref>. However, the suitability of the MR&amp;T design for extreme hydroclimate events (e.g., flooding and low-flows) in the future remains unclear <ref type="bibr">(DeHaan et al., 2012)</ref>, especially as the statistics of these events are changing rapidly. Indeed, it is hypothesized that river engineering and natural climate variability may have increased the risk of recent flooding events in the MRB, and will continue to do so in the future <ref type="bibr">(Munoz et al., 2018)</ref>. For example, <ref type="bibr">T&#246;rnqvist et al. (2020)</ref> found that levees have redirected the flow of land-replenishing sediments toward the Gulf of Mexico and away from Mississippi River Delta marshlands, causing subsidence and inundating marshlands, which provide natural protection against storm surges <ref type="bibr">(Batker et al., 2014;</ref><ref type="bibr">Leonardi et al., 2018)</ref>. Low flows also have devastating impacts. The National Oceanic and Atmospheric Administration's National Centers for Environmental Information reported on the recordbreaking droughts of October 2022 along the Mississippi River, revealing that such lows have not been seen in at least a decade; the 2022 low-flow event disrupted barge traffic at critical inland ports, including Memphis, TN and Vicksburg, MS (Assessing the U.S. Climate in <ref type="bibr">October 2022</ref><ref type="bibr">October , 2022))</ref>. Despite these navigation concerns accompanying low-flow events, <ref type="bibr">Amorim et al. (2023)</ref> find that higher water levels are more often associated with obstructed travel along the lower Mississippi River, specifically in the years 1963-2020. Broadly speaking, agriculture, manufacturing and recreation industries all rely on a functioning navigation system along the channel, and both flooding and drought can disrupt global supply chains tied to the MRB via destruction of croplands and port infrastructure or delays in the transport of goods along the channel <ref type="bibr">(Levermann, 2014)</ref>.</p><p>Understanding how hydroclimate extremes will evolve across the MRB in the future in response to anthropogenic and natural climatic change is of critical importance (C. <ref type="bibr">Raymond et al., 2020)</ref>, but we have a limited understanding of how the MRB hydroclimate will respond to rapid climate change <ref type="bibr">(Seneviratne et al., 2021)</ref> as climate model projections disagree on how greenhouse gas forcing will influence river discharge. A key challenge is predicting whether future hydroclimate conditions across the Lower MRB will increase or decrease during the 21st century <ref type="bibr">(Tao et al., 2014;</ref><ref type="bibr">Van der Wiel et al., 2018)</ref>. Both precipitation and evaporation are predicted to increase, while hydrologic contributions due to snow melt are expected to decrease <ref type="bibr">(Georgakakos, 2014;</ref><ref type="bibr">Lewis et al., 2019)</ref>. A warmer atmosphere drives an increase in water vapor and extreme precipitation due to the Clausius-Clapeyron relationship <ref type="bibr">(Held &amp; Soden, 2006;</ref><ref type="bibr">Ivancic &amp; Shaw, 2016)</ref>, but alongside the increase in temperature, there will be less precipitation falling as snow. Changes in both greenhouse gas concentrations (GHG) and land use/land cover (LULC) have demonstrable impacts on the Mississippi's flood regime, but debate remains surrounding the dominance of each on runoff, and surrounding their impacts on the magnitude and frequency of extreme flooding events in the MRB <ref type="bibr">(Foley et al., 2004;</ref><ref type="bibr">Frans et al., 2013;</ref><ref type="bibr">Jha et al., 2004;</ref><ref type="bibr">Lewis et al., 2023;</ref><ref type="bibr">Mishra et al., 2010;</ref><ref type="bibr">Pinter et al., 2008;</ref><ref type="bibr">Qian et al., 2007;</ref><ref type="bibr">Rossi et al., 2009;</ref><ref type="bibr">Schilling et al., 2008</ref><ref type="bibr">Schilling et al., , 2010;;</ref><ref type="bibr">Tran &amp; O'Neill, 2013)</ref>. Natural variability also influences trends in precipitation <ref type="bibr">(Eischeid et al., 2023)</ref> and runoff <ref type="bibr">(Hoell et al., 2023)</ref> in ways that are different from what might be expected from LULC changes alone. Recent work from <ref type="bibr">Marvel et al. (2021)</ref> show how high emissions scenarios (i.e., increased GHG forcing) might lead to seasonal changes in peak evaporation, runoff, and soil moisture in parts of the US. Broadly speaking, however, land-atmosphere feedbacks are not completely understood, and climate models do not perfectly capture how anthropogenic activities, such as deforestation or afforestation, impact the hydrologic cycle <ref type="bibr">(Bonan, 2008;</ref><ref type="bibr">L. Chen &amp; Dirmeyer, 2020)</ref>.</p><p>Resolving the various long-term controls on MRB hydroclimate requires data spanning long timescales to accurately filter the effects of quasi-periodic modes of variability. However, instrumental records for MRB discharge are relatively short: five United States Geological Survey (USGS) streamgage locations across the Lower Mississippi and its major tributaries are plotted in Figure <ref type="figure">1</ref>. These annual river discharge data sets extend back only to the early 20th century. Paleoclimate model simulations spanning the Last Millennium (LM) extend 20th century observations hundreds of years into the past, increase the number of hydroclimate events in our sample size, and provide a baseline against which we can compare anthropogenic changes to natural climate variability in the Pre-Industrial (PI) era <ref type="bibr">(Hansen &amp; Sato, 2012;</ref><ref type="bibr">Munoz et al., 2018)</ref>.</p><p>To bolster estimates of and contextualize future MRB hydroclimate risks, here we use a fully coupled global climate model spanning 850-2100 CE, the Community Earth System Model version 1.2 Last Millennium Ensemble (CESM-LME). CESM includes a river transport model (RTM) to simulate monthly discharge data <ref type="bibr">(Branstetter, 2001;</ref><ref type="bibr">Branstetter &amp; Famiglietti, 1999)</ref>, making it particularly well-suited to this work. The CESM-LME also includes single-forcing simulations that enable detection/attribution of hydroclimate change to both anthropogenic and natural forcings, partitioning the individual impacts of GHG or LULC forcing, for example <ref type="bibr">(Schurer et al., 2013)</ref>. Finally, the CESM-LME contains 13 full-forcing simulations, with 4 members that extend into the 21st century <ref type="bibr">(Kay et al., 2015;</ref><ref type="bibr">Otto-Bliesner et al., 2016)</ref>. These simulations spanning the LM afford a baseline range for natural variability against which we compare anthropogenic changes in hydroclimate and MRB discharge simulated in the 20th-21st centuries. While a number of previous studies have evaluated global and U. S. hydroclimate in the CESM-LME in response to both full <ref type="bibr">(Atwood et al., 2021;</ref><ref type="bibr">Bhattacharya &amp; Coats, 2020;</ref><ref type="bibr">Fasullo et al., 2019;</ref><ref type="bibr">Munoz &amp; Dee, 2017;</ref><ref type="bibr">Otto-Bliesner et al., 2016;</ref><ref type="bibr">Steiger et al., 2018;</ref><ref type="bibr">Tejedor et al., 2021a</ref><ref type="bibr">Tejedor et al., , 2021b;;</ref><ref type="bibr">Wiman et al., 2021)</ref> and single-forcing <ref type="bibr">(Stevenson et al., 2016</ref><ref type="bibr">(Stevenson et al., , 2018) )</ref> experiments, to-date, no studies have focused on the MRB's hydroclimate and discharge response to both full-and single-forcing simulations from 850 to 2100 CE.</p><p>In this paper, we harness the many advantages of the CESM-LME (a river routing model, a multi-member ensemble spanning 850-2100 CE, and single-forcing experiments) to answer critical questions about the large-scale hydroclimate responses of the MRB system to different external forcing conditions. We attempt to diagnose the controls on MRB discharge and isolate how hydroclimate patterns amplify or dampen river flows. We focus our analyses on three key questions:</p><p>1. How does MRB discharge respond to greenhouse gas forcing in the 20th century compared to the PI? 2. What are the key hydroclimatic processes that drive changes in MRB discharge and where in the basin do they occur? Which external forcings have the greatest impacts on these drivers? 3. How are the statistics of MRB discharge projected to change through the 21st century given the changes in land use and elevated greenhouse gas forcing?</p><p>As mentioned above, we have highly incomplete constraints on the future magnitude of MRB discharge; 20th century observations alone cannot completely represent the statistical distribution of potential hazards that will transpire. In order to avoid the losses caused by extreme climate change events, we must first better understand the climate drivers of future risk.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Data and Methods</head><p>A mechanism-based approach is taken to identify drivers of future MRB hydroclimate. We look at the MRB's response to both anthropogenic and natural forcing experiments across the key LM periods in the PI and the 20th and 21st centuries, as well as the relative changes in magnitude and frequency of extreme flooding under different external forcing scenarios.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">LM Ensemble Forcing Simulations</head><p>We use an ensemble of climate model simulations from the CESM-LME in an effort to compare PI to historical and future (20th and 21st century) projections of Lower MRB hydroclimate <ref type="bibr">(Hurrell et al., 2013;</ref><ref type="bibr">Kay et al., 2015;</ref><ref type="bibr">Otto-Bliesner et al., 2016)</ref>. The model has a horizontal resolution of the atmospheric and land components of &#8764;2&#176;, Paleoceanography and Paleoclimatology 10.1029/2024PA004902</p><p>and ocean components of &#8764;1&#176;. While relatively coarse, this grid scale facilitates a large ensemble size and long integration over the LM while balancing the need for computational efficiency <ref type="bibr">(Otto-Bliesner et al., 2016)</ref>. Specifically, we evaluate changes in the model output variables precipitation (calculated as the sum of convective and large-scale precipitation, PRECC + PRECL), soil moisture (SOILLIQ), runoff (QRUNOFF), snow melt (QSNOMELT), evapotranspiration (calculated as the sum of ground and canopy evaporation plus transpiration, QSOIL + QVEGE + QVEGT), and river discharge (QCHANR) for the period 850-2100 CE. Soil moisture in kg/ m 2 is averaged over the depth column for each grid cell to retrieve total soil moisture. All variables are reported as annual averages, unless noted otherwise.</p><p>The CESM-LME contains both single-forcing simulations, where the model is run with one external forcing at a time, and full-forcing simulations, which employ all external forcings <ref type="bibr">(Otto-Bliesner et al., 2016)</ref>. We evaluate both anthropogenic and natural forcing experiments, including greenhouse gas (GHG, n = 3 ensemble members), land use/land cover (LULC, n = 3 ensemble members), and volcanic (VOLC, n = 5 ensemble members). Analyses using additional anthropogenic and natural forcing experiments, including ozone-aerosol (AER, n = 5 ensemble members) and solar (SOLAR, n = 4 ensemble members) can be found in Supporting Information. All single and full-forcing ensemble members span the period 850-2005 CE, except AER-forcing simulations which only span 1850 to 2005 CE. Initial conditions are different for every ensemble member to account for internal variability <ref type="bibr">(Kay et al., 2015)</ref>. Thirteen full-forcing ensemble members are analyzed, four of which (members 002, 003, 008, &amp; 009) were extended into the 21st century from 2006 to 2100 CE. We additionally employ the CESM-LME control simulation, where the model is run without any external forcing, for comparison with ensemble averages derived from the full and single-forcing experiments. This allows us to identify hydroclimate signals driven by each individual forcing against a background with internal climate variability alone.</p><p>We provide "single-forcing minus control run" analyses to highlight the impacts of anthropogenic climate change (e.g., GHG), and also explore the influence of natural forcings such as volcanic eruptions on MRB hydroclimate.</p><p>We use the VOLC forcing data employed in the CESM-LME simulations to extract eruption years, defined in this study as years with reconstructed radiative forcing <ref type="bibr">(Gao et al., 2008)</ref> less than or equal to -0.2 W/m 2 . We compare eruption years to non-eruption years (defined as years with zero radiative forcing) for each individual ensemble member. Using the threshold of -0.2 W/m 2 allows us to detect not only the hydroclimatic response during the eruption year, but the persistence of volcanic forcing in the years following an eruption. Additional documentation detailing how volcanic forcing is applied in the CESM-LME is available in <ref type="bibr">Otto-Bliesner et al. (2016)</ref> and <ref type="bibr">Stevenson et al. (2016)</ref>. Non-eruption year composite averages were computed and subtracted from eruption years to calculate the differences for precipitation, runoff, snow melt, soil moisture, and evapotranspiration. To determine regional impacts of individual natural and anthropogenic climate forcings, we compare key periods, including the Medieval Climate Anomaly (MCA, 950-1250 CE), Little Ice Age (LIA, 1400-1800 CE), 20th century <ref type="bibr">(1901</ref><ref type="bibr">-2000</ref><ref type="bibr">CE), and 21st century (2001</ref><ref type="bibr">-2100 CE)</ref> as defined in S. <ref type="bibr">Dee et al. (2020)</ref>; <ref type="bibr">Grove (1988)</ref>; <ref type="bibr">Jones and Mann (2004)</ref>; <ref type="bibr">Lamb (1965</ref><ref type="bibr">Lamb ( , 1977))</ref>; Mann et al. (2009); Otto-Bliesner et al. (2016). To analyze river discharge in each basin, we find the grid cells with maximum modeled river discharge nearest to the USGS stations in Figure 1. Simulated river discharge data is extracted from one grid cell in each the Lower Mississippi (32.25&#176;N, 91.25&#176;W), Upper Mississippi (43.75&#176;N, 91.25&#176;W), Ohio River (38.25&#176;N, 86.25&#176;W), Arkansas-White River (34.75&#176;N, 92.25&#176;W), and Missouri River (38.75&#176;N, 91.25&#176;W).</p><p>Probability density functions (PDF) are estimated using the kernel density estimation function available in the Python Seaborn library <ref type="bibr">(Waskom et al., 2017)</ref>. We employ a two-tailed t-test with a 95% confidence level to compare the difference of means at each model grid point and report statistically significant changes for the above-mentioned time periods.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">CESM1.2 River Discharge Module: Validation and Comparison to Paleoclimate Reconstructions</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.1.">Validation With USGS Stream Gage Data</head><p>Our work capitalizes on CESM1's river transport module (RTM), which routes runoff as a function of surface elevation changes through the land surface model (CLM) toward coastlines <ref type="bibr">(Branstetter, 2001;</ref><ref type="bibr">Branstetter &amp; Famiglietti, 1999)</ref> at 0.5&#176;resolution <ref type="bibr">(Oleson, 2010)</ref>. The river discharge from CESM has been compared to gage station data in previous work <ref type="bibr">(Dai &amp; Trenberth, 2002)</ref>, including for the lower Mississippi River <ref type="bibr">(Munoz &amp; Dee, 2017)</ref>. Figure <ref type="figure">1</ref> confirms that the CESM1 RTM accurately routes discharge (geographically) in the Mississippi corridor overlapping with USGS river gage stations. Streamflow data from the USGS stations in Figure <ref type="figure">1</ref> Paleoceanography and Paleoclimatology 10.1029/2024PA004902</p><p>have formed the basis for validation of the RTM in previous work. To document the performance of the CESM1 RTM, <ref type="bibr">Dunne et al. (2022)</ref> provide a comparison between modeled and observed discharge at Vicksburg, Mississippi <ref type="bibr">(Dunne et al., 2022</ref>, Figure <ref type="figure">1</ref>). CESM1 RTM generally captures the statistics of flow in both the mean and ensemble spread, supporting its use for this analysis. As shown in Munoz and Dee (2017), CESM1 contains biases in the seasonality and timing of peak flows on the lower Mississippi; simulated river discharge is at its maximum in June, while observed flows peak in spring (May or earlier). The model generally captures the key processes that cause peaks in discharge (Munoz &amp; Dee, 2017, Supplemental Figure <ref type="figure">1</ref>). Snow melt and precipitation, hydrologic mechanisms that are significant drivers of flooding in the region, also show seasonal biases, but the sequence of hydrologic events ultimately follow that seen in observations (see <ref type="bibr">O'Donnell et al., 2022 and Figure S1</ref> in Supporting Information S1 which shows monthly data from CESM1 compared to European Center for Medium-Range Weather Forecasts (ECMWF) Reanalysis v5 (ERA5) snow melt and runoff data <ref type="bibr">(Hersbach et al., 2020</ref><ref type="bibr">(Hersbach et al., , 2023))</ref>, Global Precipitation Climatology Centre (GPCC) precipitation data <ref type="bibr">(Becker et al., 2013;</ref><ref type="bibr">Schneider et al., 2017)</ref>, and observed river discharge data from USGS).</p><p>CESM1 overestimates precipitation and runoff in the western US <ref type="bibr">(Danabasoglu et al., 2020;</ref><ref type="bibr">Lehner et al., 2019)</ref>. <ref type="bibr">Hoell et al. (2024)</ref> demonstrates the same positive bias for the Upper Missouri River basin, but reports similar seasonal cycles in CESM1 compared to observational data. We find that the magnitude and sign of changes from the PI to the 20th century are similar across all months for most of the hydroclimate variables and basinssuggesting consistent shifts in the annual average (Figure <ref type="figure">S9</ref> in Supporting Information S1). However, there are noticeable differences in the sign of precipitation and the magnitude of the runoff response for the 20th century compared to the PI. Colder (warmer) months are associated with higher (lower) rates of precipitation in the 20th century in the Lower and Upper Mississippi and Ohio River basins. Increases in March-June runoff are larger during the 20th century compared to those in other months over the Upper Mississippi basin (Figure <ref type="figure">S9</ref> in Supporting Information S1). Based on this and the previous work exploring the impacts of seasonal hydroclimate variability in the MRB <ref type="bibr">(Dunne et al., 2022;</ref><ref type="bibr">Munoz &amp; Dee, 2017)</ref>, we expect these seasonal biases are unlikely to affect our analysis of decadally-averaged mean state projections for relative changes in discharge over the LM through the 21st century.</p><p>Finally, the CESM1 RTM model simulations do not include any anthropogenic groundwater extraction and water use, tile drainage, artificial barriers, or reservoir regulation effects; however, the goal of our work is to compare relative changes in large-scale climate and discharge statistics between past and future time periods spanning multiple decades. Moreover, validating the model against observations is complicated by the strong human management of the MRB through mechanisms such as reservoirs. While flood control structures have important and demonstrable impacts on river discharge <ref type="bibr">(Munoz et al., 2018)</ref>, we instead focus on large-scale climate changes and shifts likely to induce changes in the statistics of discharge over decadal timescales.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.2.">Comparison With Available Paleoclimate Reconstructions</head><p>We further compared discharge and hydroclimate in CESM1 to available paleoclimate reconstructions spanning the LM. We briefly summarize CESM1's performance in comparison to these reconstructions here:</p><p>NADA: First, we compare simulated June-August (JJA) soil moisture to the reconstructed JJA Palmer Drought Severity Index (PDSI) from the North American Drought Atlas <ref type="bibr">(Cook et al., 2004</ref><ref type="bibr">, 2010, NADA)</ref>. Figure <ref type="figure">S2</ref> in Supporting Information S1 compares the spatial difference between the 20th century and PI, defined here as 1385-1850 CE (due to temporal constraints of NADA), for both the CESM-LME soil moisture and NADA PDSI. Figure <ref type="figure">S3</ref> in Supporting Information S1 compares the time series of simulated soil moisture and reconstructed PDSI from 1385 to 2000 CE over the Lower MRB. Broadly, the comparison suggests that CESM1 simulates lower soil moisture conditions compared to reconstructed PDSI from tree rings (i.e., the model has a bias toward drier conditions than reconstructions for 20th century minus PI). NASPA: CESM-simulated cool (December-April) and warm (May-July) season precipitation is also compared to reconstructed precipitation from the North American Seasonal Precipitation Atlas <ref type="bibr">(Stahle et al., 2020, NASPA)</ref> from 850 to 2000 CE. Figure S4 in Supporting Information S1 compares the difference of 20th century minus PI for both CESM-LME and NASPA cool and warm season precipitation, and suggests modeled precipitation is lower compared to reconstructed precipitation from tree rings. Figures S5 and S6 in Supporting Information S1 offer further comparison of the distributions for Paleoceanography and Paleoclimatology 10.1029/2024PA004902 total precipitation in CESM-LME and NASPA from 850 to 2005 CE. Over the LM, the model has a bias toward drier conditions compared to reconstructions during the cool season, with the exception of the Missouri River basin (Figure <ref type="figure">S5</ref> in Supporting Information S1). However, the model appears to overestimate warm season precipitation, especially evident in the Ohio River, Arkansas-White River, and Missouri River basins (Figure <ref type="figure">S6</ref> in Supporting Information S1). Streamflow Reconstructions: Simulated JJA river discharge is compared to reconstructed JJA streamflow from the Arkansas-White River <ref type="bibr">(Cleaveland, 2000)</ref> from 1023 to 1985 CE. Additionally, simulated river discharge for water years (October-September) 851-2005 CE is compared to reconstructed streamflow in the Upper Missouri River <ref type="bibr">(Martin et al., 2019</ref><ref type="bibr">(Martin et al., , 2020))</ref>. We define the Upper Missouri River region using the location of 29 naturalized streamflow records (Figure <ref type="figure">S8</ref> in Supporting Information S1) employed in <ref type="bibr">Martin et al. (2019)</ref>. The CESM-LME has a bias toward higher river discharge when compared to both streamflow reconstructions, shown in Figure <ref type="figure">S7</ref> in Supporting Information S1. Finally, LM trends in reconstructed Lower Mississippi river discharge <ref type="bibr">(Wiman et al., 2021)</ref> and lower Ohio River floods <ref type="bibr">(Gibson et al., 2022)</ref> are consistent with those in the CESM-LME full-forcing simulations; river discharge is lowest in the MCA and increases toward present <ref type="bibr">(Wiman et al., 2021, Figure 4)</ref>.</p><p>Validation against the above-mentioned paleoclimate reconstructions broadly suggests that CESM1 is biased toward lower soil moisture and precipitation, but higher river discharge. Note, however, that NADA and NASPA are on different grids (2.5&#176;and 0.5&#176;, respectively) compared to the land and atmosphere components of the CESM-LME. These comparisons highlight important biases within the model (see Discussion), and provide context for our analyses of drivers of large-scale hydroclimate patterns over the LM.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Land Use Change</head><p>We use the Land Use Harmonization 2 historical data set (LUH2 v2h) to diagnose how LULC changes from the 11th to 20th century influenced simulated runoff over the LM (G. <ref type="bibr">Hurtt et al., 2019;</ref><ref type="bibr">G. C. Hurtt et al., 2020)</ref>. The LUH2 v2h data set includes 12 different "states of land use" variables: forested primary and potentially forested secondary land, non-forested primary and potentially non-forested secondary land, managed pasture, range land, urban land, C3 annual, perennial, and nitrogen-fixing crops, and C4 annual and perennial crops (G. <ref type="bibr">Hurtt et al., 2019;</ref><ref type="bibr">G. C. Hurtt et al., 2020)</ref>. The units for each state variable are "fraction of grid cell" and a time series for all LUH2 v2h land use types can be found in Figure <ref type="figure">S12</ref> in Supporting Information S1. In our analysis, we group forested primary and potentially forested secondary land as "forest," non-forested primary and potentially non-forested secondary land as "non-forested," managed pasture and range land as "pasture," and all C3 and C4 crops as "crops," assuming similar Manning's N values for each land use type <ref type="bibr">(Arcement &amp; Schneider, 1989;</ref><ref type="bibr">Engman, 1986)</ref>. The CESM1 RTM, however, uses a simplified equation dependent on mean topographic slope to calculate flow velocity rather than the Manning's N equation (For further detail on flow velocity calculations, please refer to <ref type="bibr">Oleson et al. (2013)</ref>). The transient land forcing files have a constant mean land elevation for all years in the CESM-LME simulations (Figure <ref type="figure">S13</ref> in Supporting Information S1). Note that prior to the 19th century, over most of the basin, changes in land use are minor.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.4.">Risk Ratios and Annual Exceedance Probabilities</head><p>Risk ratios are commonly employed to attribute climate change to anthropogenic forcing, though this approach</p><p>has not yet been applied to discharge projections for the MRB <ref type="bibr">(Kirchmeier-Young et al., 2017;</ref><ref type="bibr">Swain et al., 2020;</ref><ref type="bibr">Touma et al., 2021)</ref>. We compute risk ratios to evaluate how different external forcings change the likelihood of increased or decreased discharge in the Lower MRB. To compute risk ratios, we first pool all of the full-forcing ensemble members together into one distribution to calculate the 95th percentile of monthly average discharge at Vicksburg, Mississippi (data is extracted from the grid cell centered at 32.25&#176;N, 91.25&#176;W; <ref type="bibr">Dunne et al., 2022)</ref>.</p><p>We then pool all ensemble members from each single-forcing simulation into individual distributions, and determine the frequency with which the monthly discharge values in each single-forcing distribution exceeds the full-forcing 95th percentile threshold (results are qualitatively similar for other thresholds, not shown). Here, we assume (a) stationarity and (b) each year from each ensemble member is independent and identically distributed. By using distributions with all ensemble members pooled together, we are able to integrate over the randomness (i.e., internal variability) of the individual ensemble members. The frequencies calculated in the step above are divided by the number of elements (monthly discharge values) along the time axis to obtain the probability of exceedance for each single-forcing simulation. Finally, the risk ratios are computed by dividing the probability of</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Paleoceanography and Paleoclimatology</head><p>10.1029/2024PA004902 a discharge event exceeding the 95th percentile in each single-forcing simulation by the probability of an event exceeding the same threshold in all full-forcing members:</p><p>where RR is the risk ratio, P single-forcing is the frequency with which single-forcing exceeds the threshold, and P full is the frequency with which full forcing exceeds the threshold. A risk ratio greater than one indicates an increased risk of high discharge and a risk ratio less than one indicates a decreased risk of high discharge.</p><p>To calculate annual exceedance probabilities, we first find the annual maxima for all CESM-LME discharge data (850-2005 CE) at Vicksburg, Mississippi. For each individual forcing ensemble (Full, GHG, LULC, VOLC), we pool the discharge maxima and then rank them to develop four different empirical distributions. We then find the annual maximum discharge values associated with annual exceedance probabilities ranging from 0.5% to 50% for each of the individual forcing series. Finally, the annual exceedance probabilities are used to compare differences in discharge amongst the various single-forcing ensembles. By utilizing the annual maxima from all members of each forcing series, we are able to expand the available number of years of data (assuming stationarity) and perform a more robust flood frequency analysis. For example, there are 13 full forcing ensemble members each with 1156 years (850-2005 CE) of data. Thus, if we combine all full forcing members into a larger distribution, there are a total of 15,028 annual maxima (Table <ref type="table">2</ref> lists the total number of annual maxima for all forcing ensembles).</p><p>Risk ratios and annual exceedance probabilities for AER-only and SOLAR-only are included in Table <ref type="table">S2</ref> and Figure <ref type="figure">S15</ref> in Supporting Information S1. The AER forcing simulations only span 1850 to 2005 CE, so AER is not included in the PI risk ratio calculations (Table <ref type="table">S2</ref> in Supporting Information S1). It is important to note that the discharge data used to calculate risk ratios and annual exceedance probabilities has not been bias corrected, and the analyses provided in this section are solely used as a useful technique to quantify relative changes across the different external forcing ensembles.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Results: Simulated Discharge and Hydroclimate in the MRB From 850 to 2100 CE</head><p>Changes in LULC prove to be an important control on modeled runoff and discharge compared to GHG and VOLC forcing (Section 3.1). Simulated past and future hydroclimate patterns in the MRB show the basin is generally wetter during the 20th century compared to the PI, but shifts again toward drier conditions in the 21st century (Section 3.2). Here, wetter (drier) conditions refers to an increase (decrease) in discharge, precipitation, soil moisture, runoff, and/or snow melt and a decrease (increase) in evapotranspiration. Risk ratios and annual exceedance probabilities suggest discharge decreases under GHG forcing and increases under LULC forcing in the 20th century (Sections 3.3 and 3.4).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Control Run and Single-Forcing Experiments</head><p>We first compare shifts in river discharge for each basin in response to full forcing (Figure <ref type="figure">2</ref>), GHG forcing (Figure <ref type="figure">3</ref>), and LULC forcing (Figure <ref type="figure">4</ref>) during the 20th century, MCA, and LIA. Table <ref type="table">1</ref> summarizes these changes and emphasizes that, in the 20th century compard to the LM, LULC forcing drives statistically significant shifts toward higher river discharge compared to GHG forcing. In the full forcing ensemble, river discharge is lowest during the MCA and increases toward present in the Lower and Upper Mississippi River and Ohio River (Figure <ref type="figure">2</ref>). These patterns are consistent with previous work suggesting that regions in North America may have been warmer and drier during the MCA before transitioning into colder, wetter conditions during the LIA (S. <ref type="bibr">Dee et al., 2020;</ref><ref type="bibr">Herweijer et al., 2006</ref><ref type="bibr">Herweijer et al., , 2007;;</ref><ref type="bibr">Mann et al., 2009;</ref><ref type="bibr">Rustic et al., 2015;</ref><ref type="bibr">Stevenson et al., 2018;</ref><ref type="bibr">Trouet et al., 2009)</ref>. The 20th century exhibits significantly higher river discharge in the Lower and Upper Mississippi River and Ohio River, and significantly lower river discharge in the Arkansas-White River basin in the full forcing experiments (Table <ref type="table">1</ref>).</p><p>Table S1 and Figure S11 in Supporting Information S1 extend this analysis, comparing late 19th and late 20th century river discharge under AER-only simulations. AER forcing drives statistically significant shifts toward higher river discharge in the Upper Mississippi River and Missouri River basins in the 20th century (Figure S11 in Supporting Information S1).</p><p>Paleoceanography and Paleoclimatology  <ref type="figure">9f</ref>). Spatially significant changes in evapotranspiration occur under both GHG and LULC, although the sign of the response varies (Figures <ref type="figure">9c</ref> and <ref type="figure">9f</ref>). While there is spatial heterogeneity across the basin, the GHG and LULC single-forcing experiments generally lead to increased precipitation during the 20th century compared to the control run (Figures <ref type="figure">5c</ref> and <ref type="figure">5f</ref>). GHG and LULC exert opposite forcings on 20th century snow melt, with GHG (LULC) driving drier (wetter) conditions (Figures <ref type="figure">6c</ref> and <ref type="figure">6f</ref>). Additionally, the LULC forcing ensemble exhibits wetter conditions in the Missouri River basin, Arkansas-White basin, and Upper MRB; this is due to increases in simulated soil moisture and runoff during the 20th century compared to the GHG forcing ensemble (see Figures <ref type="figure">7-8c</ref>,<ref type="figure">f</ref>).</p><p>To diagnose how CESM's LULC forcing affects the spatial hydroclimate changes observed in the "single-forcing minus control" evaluation presented in Figures <ref type="figure">5</ref><ref type="figure">6</ref><ref type="figure">7</ref><ref type="figure">8</ref><ref type="figure">9</ref>, we assessed changes in land use employed in the LUH2 v2h data set (Figure <ref type="figure">10</ref>). Figure <ref type="figure">10</ref> shows the progression of land use changes over the LM. In earlier centuries <ref type="bibr">(11-19th)</ref>, the Ohio River basin, Lower and Upper MRB had a much higher percentage of forested area, while the Missouri and Arkansas-White River basins were mostly non-forested and largely without crops or pasture (Figures 10a-10f and Figure <ref type="figure">S12</ref> in Supporting Information S1). In the 20th century, the entire eastern side of the MRB shows widespread deforestation, the majority of the Upper MRB and small sections of the Missouri and Ohio River basins show transitions to a higher percentage of cropland, and pasture becomes the dominant land Paleoceanography and Paleoclimatology  <ref type="figure">10i</ref>). These shifts in land use directly alter hydroclimate between the control and LULC-forcing ensemble via changes in runoff. Land covered by crops and pasture has largely increased since the beginning of the 18th century <ref type="bibr">(Pongratz et al., 2008)</ref>. Earlier studies suggest deforestation increased runoff in eastern regions of the MRB, while increased crop cover decreased runoff in western tributaries <ref type="bibr">(Knox, 2001;</ref><ref type="bibr">P. A. Raymond et al., 2008;</ref><ref type="bibr">Schilling et al., 2010;</ref><ref type="bibr">Twine et al., 2004;</ref><ref type="bibr">Zhang &amp; Schilling, 2006)</ref>. A reduction in forest and vegetation cover can lead to a decrease in evapotranspiration and an increase in runoff through changes in albedo, infiltration rates, and moisture retention <ref type="bibr">(Ding et al., 2022;</ref><ref type="bibr">Pe&#241;a-Arancibia et al., 2019;</ref><ref type="bibr">Twine et al., 2004)</ref>.</p><p>Finally, we explored the influence of VOLC forcing over the LM in the MRB. In the VOLC forcing simulations, eruption years are wetter than non-eruption years across the MRB (Figure <ref type="figure">11</ref>). This is consistent with previous work suggesting tropical and northern-hemisphere volcanic eruptions decrease surface temperature, decrease the risk of drought, and increase soil wetness in parts of the United States (D' <ref type="bibr">Arrigo et al., 2013;</ref><ref type="bibr">Stevenson et al., 2016</ref><ref type="bibr">Stevenson et al., , 2018;;</ref><ref type="bibr">Tejedor et al., 2021b)</ref>. There is a statistically significant decrease in evapotranspiration across the MRB (Figure <ref type="figure">11c</ref>). A large body of literature documents the impacts of volcanic forcing on global and U.S. hydroclimate (S. <ref type="bibr">Dee et al., 2020;</ref><ref type="bibr">S. G. Dee &amp; Steiger, 2022;</ref><ref type="bibr">Stevenson et al., 2017;</ref><ref type="bibr">Tejedor et al., 2021a)</ref>; we find a muted hydroclimate response driven by volcanic forcing alone compared to other single-forcing experiments over the MRB.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Pre-Industrial (PI), 20th, and 21st Century Hydroclimate Changes</head><p>We next evaluate the spatial hydroclimate response to natural and anthropogenic forcing as a function of the percent changes for the 20th century compared to PI, 21st century compared to PI, and 21st century compared to 20th century. The single-forcing ensemble members (GHG, LULC, VOLC) and full-forcing ensemble members are all evaluated independently. Overall, the full-forcing ensemble average shows that the MRB is wetter in the 20th century compared to the PI (Figures <ref type="figure">12a-12e</ref>). The single-forcing ensembles facilitate identification of how Paleoceanography and Paleoclimatology 10.1029/2024PA004902  <ref type="figure">12</ref> show changes in precipitation, soil moisture, evapotranspiration, snow melt, and runoff for each of the single-and full-forcing ensemble averages. The percent change in all hydroclimate variables from the PI to the 20th century due to VOLC forcing are minor compared to the LULC and GHG forcings, and thus likely contribute less to the changes seen in the full-forcing simulations. The largest averaged changes in the VOLC-only simulations occur over the Lower MRB and Arkansas-White River basin, with a 7% and 5% increase in snow melt, respectively (Figure <ref type="figure">12s</ref>).</p><p>GHG and LULC forcing both drive statistically significant increases in precipitation in the 20th century compared to PI, but have different effects on other hydroclimate variables (Figures <ref type="figure">12f</ref> and <ref type="figure">12k</ref>). Under GHG forcing, evapotranspiration increases and snow melt decreases over the entire MRB (Figures <ref type="figure">12h</ref> and <ref type="figure">12i</ref>); GHG forcing leads to drier conditions in the MRB in the 20th century. Over the Ohio River basin and the Lower MRB, there is a significant decrease in snow melt (13% and 16%, respectively; Figure <ref type="figure">12i</ref>) under GHG forcing. Runoff significantly decreases near the western boundary of the Upper MRB and eastern half of the Missouri River basin in the GHG simulations (Figure <ref type="figure">12j</ref>). By contrast, under LULC forcing, soil moisture, snow melt, and runoff all significantly increase (Figures <ref type="figure">12l</ref>,<ref type="figure">n</ref>,<ref type="figure">o</ref>), implying that LULC changes resulted in wetter conditions across the MRB in the 20th century. Soil moisture increases by 1% over the Missouri River basin and 2% over the Upper MRB under LULC forcing (Figure <ref type="figure">12l</ref>). Snow melt increases by 14% over the Arkansas-White River basin, 17% over the Ohio River basin, and 20% over the Lower MRB (Figure <ref type="figure">12n</ref>). Runoff increases by approximately 10% in the Missouri River basin and 13% in the Upper MRB (Figure <ref type="figure">12o</ref>). Lastly, there is a small increase in evapotranspiration across the Lower MRB, Arkansas-White River, and Ohio River basins (Figure <ref type="figure">12m</ref>) in the 20th century under LULC forcing. Overall, the spatial patterns under LULC forcing (Figures <ref type="figure">12k-12o</ref>) are most similar to those in the full-forcing simulations (Figures <ref type="figure">12a-12e</ref>) with the exception of precipitation, where both GHG and LULC forcing contribute to wetter conditions of the 20th century (Figures <ref type="figure">12a</ref>,<ref type="figure">f</ref>,<ref type="figure">k</ref>). The largest regional changes in the full-forcing simulations occur over the Ohio River basin and Lower MRB, where snow melt increases by more than 9% from the PI to the 20th century (Figure <ref type="figure">12d</ref>). Over the Upper MRB, runoff increases by Paleoceanography and Paleoclimatology 10.1029/2024PA004902</p><p>about 5% under full forcing (Figure <ref type="figure">12e</ref>); most of the basin exhibits statistically significant shifts toward wetter conditions (i.e., increased precipitation, soil moisture, snow melt, and runoff) in the 20th century compared to the PI (Figures <ref type="figure">12a-12e</ref>).</p><p>Figure <ref type="figure">12</ref> implies that a large part of the hydroclimatic shift observed from the PI to the 20th century is driven by land use change over time. This finding is consistent with the results presented in Section 3.1 (e.g., Figure <ref type="figure">8</ref>), showing that the LULC single-forcing simulations exhibit large shifts compared to the unforced CESM LME control run. In the Lower MRB, Upper MRB, and Ohio River basin, "forested primary land" decreases significantly at the start of the 19th century. However, "potentially forested secondary land" begins to increase after the mid-19th century and is the dominant land use type in the Lower MRB and Ohio River basin at the end of the 20th century (Figure <ref type="figure">S12a</ref>-c in Supporting Information S1). While deforestation and humanengineered drainage systems may increase runoff <ref type="bibr">(Quinn &amp; Sellinger, 1990;</ref><ref type="bibr">Twine et al., 2004)</ref>, reforestation in the Ohio River basin and Lower MRB in the 20th century provides one explanation for the decreases in runoff (Figure <ref type="figure">8f</ref>). In the Upper MRB, the conversion from "forested primary land" to mostly "C4 annual crops" and "C3 nitrogen-fixing crops" (Figure <ref type="figure">S12b</ref> in Supporting Information S1), along with a decrease in evapotranspiration (Figures <ref type="figure">9f</ref> and <ref type="figure">12m</ref>) and increase in snow melt (Figures <ref type="figure">6f</ref> and <ref type="figure">12n</ref>), may provide a partial explanation for the increases in runoff under LULC forcing (Figure <ref type="figure">12o</ref>). Thus, we conclude that in the CESM-LME, LULC is the main driver of hydroclimate change in the MRB during the 20th century compared to the PI.</p><p>A comparison of the hydroclimate response in the late 19th and late 20th centuries under AER forcing is included in Figure <ref type="figure">S14</ref> in Supporting Information S1. Under AER forcing, the Missouri River basin exhibits a statistically significant increase in soil moisture (1%) and runoff (4%) over a large part of the basin, while the Arkansas-White River shows a significant decrease (1%) in evapotranspiration. AER-only forcing is thus likely an additional driver of increasing soil moisture and runoff seen in the full-forcing ensemble over the Missouri River basin in the 20th century (Figures <ref type="figure">12b</ref> and <ref type="figure">12e</ref>).</p><p>As described in Section 2.1, only four full-forcing experiments were extended to simulate the 21st century (no single-forcing ensemble members are available past the 20th century). Figure <ref type="figure">13</ref> provides time series of annual discharge for all basins (1901-2100 CE) for these four full-forcing extension simulations. The Upper and Lower MRB, Arkansas-White River, and Missouri River basin projections show a decrease in discharge during the late 21st century, while the Ohio River basin shows an increase in discharge (Figure <ref type="figure">13</ref>). PDFs and box plots of discharge in all basins during the MCA, LIA, 20th century, and late 21st century (Figures <ref type="figure">14</ref> and <ref type="figure">15</ref>) indicate that all five basins have similar distributions of discharge during the MCA, LIA, and 20th century. However, there is a shift toward drier conditions for all basins except for the Ohio River Basin in the late 21st century. Full-forcing drives shifts toward significantly higher river discharge over the Ohio River basin and significantly lower discharge over the remaining basins in the 21st century compared to the 20th century (Table <ref type="table">3</ref>). </p><p>Note. Each column represents a comparison between two different time periods (e.g., 20th century compared to MCA). Brown "D" indicates there is lower discharge in the 20th century and blue "W" represents higher river discharge in the 20th century. Bold, underlined letters indicate a statistically significant change at the 95% confidence level. To further analyze the spatial changes in hydroclimate between the PI, 20th, and 21st centuries, we again looked at the mapped differences in hydroclimate over the MRB. In the 21st century, the basin is projected to be drier than the PI and the 20th century. Evapotranspiration increases while soil moisture, snow melt, and runoff decrease (Figure <ref type="figure">16</ref>). The Ohio River basin alone experiences a 5% increase in runoff in the 21st century compared to the 20th century. However, the largest regionally-averaged change in runoff is a 23% decrease over the Arkansas-White River basin (Figure <ref type="figure">16b</ref>). The largest regionally-averaged increases in evapotranspiration are seen over the Upper MRB, Missouri River, and Ohio River basins (Figure <ref type="figure">16c</ref>). Snow melt decreases by more than 20% over the Upper MRB and Missouri River basin and by more than 40% over the Lower MRB, Arkansas-White  Paleoceanography and Paleoclimatology 10.1029/2024PA004902</p><p>River, and Ohio River basins (Figure <ref type="figure">16e</ref>). Despite the overall drying trend, precipitation is projected to significantly increase over all tributary basins, excluding the Arkansas-White River basin, during the 21st century compared to the 20th century. Precipitation increases by approximately 7%-10% over the Upper MRB, Missouri River, and Ohio River basins from the 20th to 21st century (Figure <ref type="figure">16d</ref>). Under full forcing, most of the basin exhibits statistically significant shifts toward drier conditions (i.e., increased evapotranspiration and decreased soil moisture, snow melt, and runoff) in the 21st century compared to the 20th century. Finally, the differences in the hydroclimate variables between the PI and 21st century (Figure <ref type="figure">17</ref>) are very to those seen in Figure <ref type="figure">16</ref> (which shows the percent change for the 21st vs. the 20th century).  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Paleoceanography and Paleoclimatology</head><p>10.1029/2024PA004902</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3.">Risk Ratio Calculations</head><p>To evaluate how hydroclimate extremes evolve over the MRB from 850 to 2000 CE, we used risk ratios to test how discharge statistics change amongst different single-forcing simulations. Table <ref type="table">4</ref> compares risk ratios for the PI and 20th century. Risk ratios are reported for individual single-forcing ensembles. There is an 8% decrease in the risk ratio for GHG-only forcing from the PI to the 20th century. Therefore, the risk of extreme discharge and flooding under GHG forcing decreases in the 20th century in the lower Mississippi basin. There is no change in the calculated risk ratio for the VOLC-only ensemble. Risk ratios for both SOLAR and AER forcing experiments are also associated with a lower risk of extreme discharge (Table <ref type="table">S2</ref> in Supporting Information S1). Under LULC forcing, there is a 44% increase in the risk ratio for the 20th century compared to the PI, indicating an increase in risk of extreme discharge due to LULC changes alone.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.">Annual Exceedance Probabilities</head><p>Calculating annual exceedance probabilities (or flood frequency analysis, FFA) facilitates a critical evaluation of the distribution of extreme discharges under different forcing scenarios in the LME. We use annual maximum discharge data from all single-and full-forcing ensemble members, and assume stationarity for the FFA; put another way, we focus only on the change in distribution of peak flows across different forcing scenarios. Figure <ref type="figure">18</ref> explores these changes at Vicksburg, Mississippi in the Lower MRB. The magnitudes of discharge in the upper end of each distribution (e.g., values with a 5, 2, 1, or 0.5% chance of occurrence in any given year) shown in the inset of Figure <ref type="figure">18</ref> are the highest in the full-forcing simulations, and lowest in the GHG-and AERonly simulations. Across all annual exceedance probabilities, peak annual discharge from the GHG and AER single-forcing simulations are lower compared to the other forcings, indicating that the Lower MRB experiences drier conditions under GHG and AER forcing (Figure <ref type="figure">18</ref> and Figure <ref type="figure">S15</ref> in Supporting Information S1). This, along with the risk ratio results (Table <ref type="table">4</ref> and Table <ref type="table">S2</ref> in Supporting Information S1), suggests GHG and AER forcing are responsible for a decrease in discharge, and therefore drier conditions, from the PI to the 20th century. However, the full-forcing ensemble in Figures <ref type="figure">12a-12e</ref> shows that the MRB is generally wetter in the 20th century compared to the PI. Figure <ref type="figure">18</ref> supports the interpretation that LULC forcing contributes to wetter conditions in the ensemble, and higher peak discharge in the tails of the distribution (sim above the 95th percentile).</p><p>While not anthropogenic, we additionally note that the VOLC-only simulations also show larger discharge values for peak exceedance probabilities, consistent with Figure <ref type="figure">11</ref> (see Section 3.1). We conclude from Figure <ref type="figure">18</ref> that Paleoceanography and Paleoclimatology GHG forcing was not the main driver behind the changes seen in the simulated peak annual discharge for the 20th century: rather, LULC forcing plays a larger role (suggesting possible mitigation pathways).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Discussion and Conclusions</head><p>Changes in the frequency and severity of recent floods and low-flow events on the Mississippi River necessitate a renewed focus on how anthropogenic climate change will alter hydroclimate risks in the basin. To enhance projections of flood and drought conditions, we here focused on characterizing the hydroclimate drivers of largescale changes in river discharge within controlled model simulation experiments spanning 850-2100 CE. Specifically, this work capitalizes on the CESM-LME single-forcing simulations to identify the hydroclimatic mechanisms driving changes in MRB discharge in the past and present to better diagnose how hydroclimate risks will evolve in the future. Our study interrogates three key questions surrounding how discharge evolves over the LM, the hydroclimatic mechanisms and external forcings driving those changes, and the individual tributary contributions and spatial heterogeneity of discharge fluxes across the full MRB.</p><p>First, we examined how river discharge responds to individual external climate forcings (GHG, LULC, VOLC, AER, SOLAR) over the LM. We highlighted significant shifts in discharge under FULL, GHG, and LULC forcing during the 20th century compared to the MCA and LIA (Figures <ref type="figure">2</ref><ref type="figure">3</ref><ref type="figure">4</ref>and Table <ref type="table">1</ref>). Changes in 20th century river discharge in response to LULC forcing are more significant than that in the GHG simulations for many of the tributaries (Table <ref type="table">1</ref>). We further evaluated the spatial hydroclimate pattern responses of precipitation, snow melt, soil moisture, runoff, and evapotranspiration to each external climate forcing by subtracting the CESM-LME control run from the single-forcing ensembles. Under GHG forcing, runoff decreases across the Paleoceanography and Paleoclimatology  Paleoceanography and Paleoclimatology 10.1029/2024PA004902  Paleoceanography and Paleoclimatology Upper MRB, but increases over the Arkansas-White River and Ohio River basins (Figure <ref type="figure">8c</ref>) alongside increased precipitation (Figure <ref type="figure">5c</ref>) during the 20th century. Thus, the Arkansas-White River and Ohio River basins exhibit slightly wetter conditions (i.e., increased runoff and precipitation) in response to GHG-only forcing. In contrast, runoff strongly increases in large regions of the Missouri, Arkansas-White River, and Upper MRB under LULC-only forcing (Figure <ref type="figure">8f</ref>) due to increased precipitation, snow melt, and soil moisture (Figures <ref type="figure">5-7f</ref>) and decreased evapotranspiration (Figure <ref type="figure">9f</ref>) during the 20th century. We acknowledge that snow melt and soil moisture are not independent forcings on runoff, but are complex components of precipitation and its balance with evapotranspiration, infiltration, and runoff. The MRB exhibits overall wetter conditions (i.e., increased runoff, precipitation, snow melt, soil moisture and decreased evapotranspiration) in response to LULConly forcing, and the magnitude of this hydroclimate shift is larger than those simulated in the GHG-only runs <ref type="bibr">f)</ref>. Although AER-only forcing contributes to drier conditions in other regions of the MRB, namely the Lower MRB, it likely plays a role in the wettening of the Missouri River basin in the 20th century. Finally, in agreement with previous studies (D <ref type="bibr">'Arrigo et al., 2013;</ref><ref type="bibr">Stevenson et al., 2016</ref><ref type="bibr">Stevenson et al., , 2018;;</ref><ref type="bibr">Tejedor et al., 2021b)</ref>, CESM simulates slightly wetter conditions (i.e., increased runoff, precipitation, snow melt, soil moisture and decreased evapotranspiration) across the entire basin during volcanic eruptions years (Figure <ref type="figure">11</ref>).</p><p>The details of the LUH2 data set employed for LULC forcings in the model simulations facilitate a deeper investigation of changes in land use types that drive hydroclimate shifts in the MRB. Mass deforestation began in the Ohio River and Lower MRB basin around the start of the 19th century, but there were efforts to reforest the land toward the end of the 19th century (Figure <ref type="figure">10g</ref> and Figures <ref type="figure">S12a</ref> and <ref type="figure">S12c</ref> in Supporting Information S1). This reforestation and the introduction of crops appears to have led to a decrease in simulated runoff and ultimately drier conditions over the Ohio compared to the other basins during the 20th century (Figure <ref type="figure">8f</ref>). Before 1850 CE, the majority of the Missouri River and Arkansas-White River basins consisted of non-forested primary land, but the area was converted to range and crop land by the start of the 20th century (Figures <ref type="figure">10h</ref> and <ref type="figure">10i</ref> and Figures <ref type="figure">S12d</ref> and <ref type="figure">S12e</ref> in Supporting Information S1). The evolution from non-forested to range land may explain the increase in runoff and overall wetter conditions seen in the LULC-only simulations (Figure <ref type="figure">8f</ref>).</p><p>We additionally examined changes in hydroclimate variables with all external forcings applied (FULL) during the PI, 20th century, and 21st century across the entire MRB. Differences (20th century minus PI) in CESM-LME ensemble averages (Figures <ref type="figure">12a-12e</ref>) indicate a wetter 20th century compared to PI in the MRB. LULC forcing exerts the largest influence on changes in snow melt, soil moisture, and runoff (Figures <ref type="figure">12l</ref>,<ref type="figure">n</ref>,<ref type="figure">o</ref>); all three of these variables shift toward wetter conditions in the MRB during the 20th century. Increased soil moisture over a large part of the MRB is broadly consistent with earlier studies comparing reconstructed PDSI in NADA to model PDSI (Otto-Bliesner et al., 2016, Figure <ref type="figure">10</ref>), though the hydroclimatic response in the CESM-LME is of a lower magnitude compared to NADA <ref type="bibr">(Stevenson et al., 2016;</ref><ref type="bibr">Tejedor et al., 2021a)</ref>. As shown in Figure <ref type="figure">12</ref>, the spatial patterns in the full-forcing simulations closely resemble those found in the LULC forcing simulations, with the exception of precipitation, which is similar to both GHG and LULC forcing. Risk ratios and flood frequency analyses were also computed to quantify how discharge responds to each individual forcing (Sections 3.3 and 3.4). GHG forcing leads to reduced discharge (i.e., drier conditions), while LULC forcing leads to increased discharge (i.e., wetter conditions). In other words, the CESM-LME simulations support the interpretation that 20th century changes in LULC have increased the risk of flooding in the MRB. Finally, we examined CESM-LME 21st century extension projections of  Paleoceanography and Paleoclimatology   Paleoceanography and Paleoclimatology 10.1029/2024PA004902 Our results harbor several key findings relevant to hydroclimate hazard characterization in the MRB. Human alterations of the landscape in the MRB, captured in the LULC forcing ensemble, drive wetter conditions across the basin. Greenhouse gas forcing has been shown to increase extreme rainfall and potentially enhance flooding risk <ref type="bibr">(Dunne et al., 2022)</ref>, yet when compared to a LM baseline, it appears that GHG forcing may actually yield drier conditions overall. FFA underscores a substantial reduction in discharge for the highest recurrence intervals under GHG forcing, but a large increase under LULC and FULL forcing (Figure <ref type="figure">18</ref>). These results, while limited to a single climate model ensemble, support the interpretation that human alterations to LULC have large and measurable impacts on flood risk. Two extensions of this include (a) human decision-making surrounding land  use could prove critical to flood mitigation on short timescales, and (b) accurate representation of land surface types and changes in climate models is critical to flood hazard projections. Furthermore, greenhouse gas forcing, particularly from CO 2 emissions, will cause hundreds of years of committed atmospheric warming, accompanied by a set of consistent hydroclimate responses simulated here for the majority of the MRB (drying driven by enhanced evapotranspiration, reduced snow melt, and reduced soil moisture). These changes will evolve over decades, whereas LULC changes could impact flood risk rapidly (within months). Even far-afield changes in LULC (e.g., tropical deforestation) have been shown to affect MRB hydroclimate <ref type="bibr">(Werth &amp; Avissar, 2002)</ref>. Thus, human decision-making surrounding land cover and flood infrastructure may prove to be the most important uncertainty in future flood risk. This work, aimed at generating understanding of how large-scale hydroclimate evolves across the major tributaries (e.g., projected drying in the Missouri compared to increased precipitation over the Ohio), must inform geographically targeted land use decision making in each sub-basin independently.</p><p>This research also provides important context for previous work surrounding the relative importance of climate change (i.e., GHG forcing) versus land use change and river engineering (i.e., LULC) for flood risk in global river basins. The impacts of climate change <ref type="bibr">(Jha et al., 2004;</ref><ref type="bibr">Qian et al., 2007;</ref><ref type="bibr">Rossi et al., 2009)</ref>, LULC <ref type="bibr">(Schilling et al., 2008</ref><ref type="bibr">(Schilling et al., , 2010;;</ref><ref type="bibr">Tran &amp; O'Neill, 2013)</ref>, and river engineering <ref type="bibr">(Munoz et al., 2018;</ref><ref type="bibr">Pinter &amp; Heine, 2005)</ref> all compound in reality and jointly affect changes in observed MRB discharge <ref type="bibr">(Foley et al., 2004;</ref><ref type="bibr">Frans et al., 2013;</ref><ref type="bibr">Mishra et al., 2010;</ref><ref type="bibr">Pinter et al., 2008;</ref><ref type="bibr">St. George, 2018)</ref>. However, various studies differ widely in their assertions of which of these matters most: for example, <ref type="bibr">Pinter et al. (2008)</ref> suggested a dominant influence of infrastructure over both climate change and LULC forcing. Still other research (focused on the upper MRB) indicates that the increases in runoff are mainly due to climate-change-induced increases in precipitation, and that LULC is more important only on smaller spatial scales <ref type="bibr">(Frans et al., 2013;</ref><ref type="bibr">Milly &amp; Dunne, 2001)</ref>. <ref type="bibr">Eischeid et al. (2023)</ref> suggests ocean-atmosphere interactions may be a more important control on precipitation compared to LULC changes over the central US. As mentioned above, our work broadly supports an out-sized role of LULC and local land use management in flood control, especially on short timescales. That said, GHG forcing clearly shifts the statistics of mean hydroclimate in projections spanning the next several decades <ref type="bibr">(Dunne et al., 2022)</ref>. Single-forcing simulations such as those analyzed here allow us to deconvolve changes in the magnitude, sign (i.e., wet vs. dry), and timescale of each forcing's influence on hydroclimate shifts.</p><p>We acknowledge important limitations of our approach. First, the coarse spatial resolution of the atmosphere and land components of the CESM-LME may lead to a bias toward lower precipitation intensity (D. <ref type="bibr">Chen &amp; Dai, 2019)</ref>, as well as earlier peaks in streamflow due to an imperfect representation of snow melt, especially at higher elevations <ref type="bibr">(Jin &amp; Wen, 2012;</ref><ref type="bibr">Toure et al., 2018)</ref>. We also rely on a single climate model ensemble which contains biases in its simulation of hydroclimate and river discharge; seasonal biases in the simulation of river discharge in CESM1.2 have been documented in previous work <ref type="bibr">(Dunne et al., 2022;</ref><ref type="bibr">Munoz &amp; Dee, 2017)</ref>. However, our evaluation focuses on decadal-to-centennial scale shifts in hydroclimate, likely mitigating the impacts of some of these biases on the key goals of the present study. Figure <ref type="figure">S9</ref> in Supporting Information S1 also shows that the magnitude and sign of seasonal changes from the PI to the 20th century are similar across all months. The land model hydrology in CESM1.2 (CLM4) is also quite limited: in particular, land use changes are not completely represented in models (despite their large impact, confirmed in this work). LULC factors that drive changes in runoff include baseflow, timing of snow melt, and percentage of pasture and cropland <ref type="bibr">(Knox, 2001;</ref><ref type="bibr">Schilling et al., 2010;</ref><ref type="bibr">Twine et al., 2004;</ref><ref type="bibr">Zhang &amp; Schilling, 2006)</ref>; errors in the representation of these key surface variables are likely to have a large impact on CESM's simulation of surface hydrology. In addition, the non-stationary parameterization of flow velocity in the CESM boundary condition files likely biases runoff over land. Flow velocities in CESM1 RTM simulations are dependent on mean topographic slope and do not consider roughness coefficients <ref type="bibr">(Oleson et al., 2013</ref>) despite land use changes over time, which affects surface water flows.</p><p>In addition, human modulations to the river basin, from engineering infrastructure to irrigation, are not included in the CESM-LME simulations. We speculate that the inclusion of irrigation might result in cooler surface temperatures (L. <ref type="bibr">Chen &amp; Dirmeyer, 2019)</ref>, increased evapotranspiration and regional differences in precipitation <ref type="bibr">(Thiery et al., 2017;</ref><ref type="bibr">Zeng et al., 2017)</ref>. With irrigation turned on, we might expect decreased river discharge in some regions <ref type="bibr">(Biemans et al., 2011)</ref>, but due to the complexity of groundwater and streamflow interactions over the basin, it is unclear exactly how irrigation might impact river discharge. Broadly speaking, additional research using a multi-model ensemble and spanning a range of hydraulic modeling complexities would be required to further reduce such uncertainties (e.g., connecting large-scale hydroclimate changes from GCMs to computational hydrology at finer scales). Such efforts are ongoing amongst the authors of this work.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Paleoceanography and Paleoclimatology</head><p>10.1029/2024PA004902</p><p>Finally, extension research must consider variations in natural climate modes, such as the Bermuda High, North Atlantic Oscillation, Atlantic Multi-Decadal Oscillation (AMO), and the El Ni&#241;o-Southern Oscillation (ENSO), which will compound with anthropogenic climate change to alter hydroclimate across the MRB in the 21st century. The AMO may have less impact on the MRB than previously thought <ref type="bibr">(Luo et al., 2022)</ref>, while ENSO heavily modulates interannual flood risk in the basin <ref type="bibr">(Luo et al., 2022</ref><ref type="bibr">(Luo et al., , 2023;;</ref><ref type="bibr">Munoz &amp; Dee, 2017;</ref><ref type="bibr">Munoz et al., 2018)</ref>. An additional caveat of the CESM is that it tends to inflate ENSO variance <ref type="bibr">(Mu&#241;oz et al., 2023;</ref><ref type="bibr">Stevenson et al., 2016)</ref>. Characterizing how interannual and multidecadal modes of internal variability modulate hydroclimate risks amidst persistent anthropogenic forcing is critical for both seasonal-to-decadal climate prediction and accurate engineering design of flood control structures.</p><p>In closing, climate change has and will continue to alter the MRB's flow regimes as well as the magnitude and frequency of extreme flooding events in the MRB <ref type="bibr">(Lewis et al., 2023)</ref>. Understanding how naturally occurring variations in the climate system, in addition to anthropogenic activity, independently influence climate change can help mitigate future risk in the 21st century. Identifying how various external forcings like GHG and LULC, both tightly coupled to human decisions, will alter hydroclimate and future flooding hazard must guide government agencies (e.g., Army Corps of Engineers) toward informed decisions about MR&amp;T project updates and regional flood mitigation strategies, saving lives and money in the process. This work takes an additional step toward understanding the drivers of changes in U.S. hydroclimate in the 21st century by using the past as prologue for future risk.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>25724525, 2024, 7, Downloaded from https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2024PA004902 by Rice University, Wiley Online Library on [23/09/2025]. See the Terms and Conditions (https://onlinelibrary.wiley.com/terms-and-conditions) on Wiley Online Library for rules of use; OA articles are governed by the applicable Creative Commons License</p></note>
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