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			<titleStmt><title level='a'>Extracting a History of Global Fire Emissions for the Past Millennium From Ice Core Records of Acetylene, Ethane, and Methane</title></titleStmt>
			<publicationStmt>
				<publisher></publisher>
				<date>10/27/2020</date>
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				<bibl> 
					<idno type="par_id">10230084</idno>
					<idno type="doi">10.1029/2020JD032932</idno>
					<title level='j'>Journal of Geophysical Research: Atmospheres</title>
<idno>2169-897X</idno>
<biblScope unit="volume">125</biblScope>
<biblScope unit="issue">20</biblScope>					

					<author>Melinda R. Nicewonger</author><author>Murat Aydin</author><author>Michael J. Prather</author><author>Eric S. Saltzman</author>
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			<abstract><ab><![CDATA[Biomass burning is an important component of the Earth system in terms of global biogeochemistry, atmospheric composition, climate, terrestrial ecology, and land use. This study examines published ice core trace gas measurements of acetylene, ethane, and methane, which have been used as proxies for paleofire emissions. We investigate the consistency of these records for the past 1,000 years in terms of (1) temporal trends in global fire emissions and (2) quantitative estimates for changes in global burning (dry matter burned per year). Three-dimensional transport and box models were used to construct emissions scenarios for the trace gases consistent with each ice core record. Burning histories were inferred from trace gas emissions by accounting for biome-specific emission factors for each trace gas. The temporal trends in fire inferred from the trace gases are in reasonable agreement, with a large decline in biomass burning emissions from the Medieval Period (MP: 1000-1500 CE) to the Little Ice Age (LIA: 1650-1750 CE). However, the three trace gas ice core records do not yield a consistent fire history, even assuming dramatic (and unrealistic) changes in the spatial distribution of fire and biomes. Substantial changes in other factors such as meteorological transport or atmospheric photochemical lifetimes appear to be required to reconcile the trace gas records.Plain Language Summary Biomass burning (wildfires) are an important component of the climate system. Understanding how biomass burning has changed in the past can help us better predict how biomass burning may change in the future. This study examines ice core measurements of three trace gases, acetylene, ethane, and methane, in order to determine if a single global "fire history" (dry matter burned) can be reconstructed over the last 1,000 years. All three ice core records indicate a large decline in their respective biomass burning emissions after 1500 CE. However, a single fire history of dry matter burned over the last 1,000 years is not easily reconstructed from the ice core records even when enacting extreme changes to the location of fires and biome types. This suggests that our knowledge of the preindustrial fire system is incomplete. There appears to be little doubt that large changes occurred in biomass burning over the past millennium, although the exact magnitude and location of those changes are not yet quantifiable.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Fires are a major source of carbon-containing gases to the atmosphere, including the greenhouse gases carbon dioxide and methane <ref type="bibr">(Akagi et al., 2011;</ref><ref type="bibr">Andreae &amp; Merlet, 2001)</ref>. Fires also impact climate through emissions of aerosols and photochemically reactive gases, like black carbon and carbon monoxide. There is debate about past variability in global burning and the extent to which humans have changed the natural fire system <ref type="bibr">(Andela et al., 2017;</ref><ref type="bibr">Archibald et al., 2009;</ref><ref type="bibr">Bowman et al., 2009</ref><ref type="bibr">Bowman et al., , 2011;;</ref><ref type="bibr">Hantson et al., 2016;</ref><ref type="bibr">van Marle et al., 2017)</ref>. A quantitative knowledge of the variability in past burning may help us assess past climate forcing from fire and improve our understanding of the climate/fire relationship on centennial and millennial time scales <ref type="bibr">(Hantson et al., 2016;</ref><ref type="bibr">Solomon et al., 2007;</ref><ref type="bibr">van der Werf et al., 2013;</ref><ref type="bibr">van Marle et al., 2017)</ref>. Many different metrics are used to assess fire activity, such as fire extent, frequency, and severity <ref type="bibr">(Andela et al., 2017;</ref><ref type="bibr">Marlon et al., 2008</ref><ref type="bibr">Marlon et al., , 2013</ref><ref type="bibr">Marlon et al., , 2016;;</ref><ref type="bibr">Power et al., 2008</ref><ref type="bibr">Power et al., , 2012;;</ref><ref type="bibr">van der Werf et al., 2006</ref><ref type="bibr">van der Werf et al., , 2010</ref><ref type="bibr">van der Werf et al., , 2017))</ref>. In this study, we focus specifically on pyrogenic emissions of trace gases and global burning (Pg dry matter burned per year).</p><p>Biomass burning records for the past millennium have been developed from sedimentary charcoal and impurities in ice cores (e.g., <ref type="bibr">Bock et al., 2017;</ref><ref type="bibr">Ferretti et al., 2005;</ref><ref type="bibr">Grieman et al., 2017;</ref><ref type="bibr">Grieman, Aydin, Isaksson, et al., 2018;</ref><ref type="bibr">Grieman, Aydin, McConnell, et al., 2018;</ref><ref type="bibr">Kawamura et al., 2012;</ref><ref type="bibr">Kehrwald et al., 2012;</ref><ref type="bibr">Legrand et al., 1992</ref><ref type="bibr">Legrand et al., , 2016;;</ref><ref type="bibr">Marlon et al., 2008;</ref><ref type="bibr">McConnell et al., 2007;</ref><ref type="bibr">Power et al., 2008</ref><ref type="bibr">Power et al., , 2012;;</ref><ref type="bibr">Rubino et al., 2015;</ref><ref type="bibr">Simoneit et al., 1999)</ref>. The global charcoal record indicates a decline in burning activity from 1000-1750 CE, reaching a minimum during the Little Ice Age period followed by a sharp rise from 1750-1870 CE and a decline into the twentieth century (Figure <ref type="figure">1</ref>; <ref type="bibr">Marlon et al., 2008)</ref>. The global charcoal database is a record of fire activity, rather than a direct measure of fire emissions. Reconstructing emissions from charcoal records would require considering known biases such as the underrepresentation of fires in grassland/dry shrubland biomes where low woody biomass limits charcoal production <ref type="bibr">(Marlon et al., 2008)</ref>. This biome accounts for over half of the modern-day carbon emission from fires (van der <ref type="bibr">Werf et al., 2017)</ref>.</p><p>Ice core trace gas measurements of methane and &#948; 13 CH 4, ethane, acetylene, and carbon monoxide also have been used to reconstruct trends in global fire emissions over the past millennium (Figure <ref type="figure">2</ref>) <ref type="bibr">(Bock et al., 2017;</ref><ref type="bibr">Ferretti et al., 2005;</ref><ref type="bibr">Mischler et al., 2009;</ref><ref type="bibr">Nicewonger et al., 2016</ref><ref type="bibr">Nicewonger et al., , 2018</ref><ref type="bibr">Nicewonger et al., , 2020;;</ref><ref type="bibr">Sapart et al., 2012;</ref><ref type="bibr">Wang et al., 2010)</ref>. Methane has an 8-to 10-year atmospheric lifetime and therefore the potential to provide a globally integrated signal of pyrogenic emissions. <ref type="bibr">Ferretti et al. (2005)</ref> interpreted the methane isotope records over the past millennium as indicating a complexity of the methane and methane isotope budgets. Interpretation of the methane isotope signal in terms of pyrogenic emissions requires assumptions about trends in microbial emissions and knowledge of the end-member isotopic composition of multiple sources.</p><p>Acetylene has a simple biogeochemical cycle, with fire as the major source during the preindustrial (see section 2.1 for global budget discussions) <ref type="bibr">(Nicewonger et al., 2020;</ref><ref type="bibr">Xiao et al., 2007)</ref>. Ethane has one additional source from geologic emissions, the magnitude of which is controversial <ref type="bibr">(Dyonisius et al., 2020;</ref><ref type="bibr">Etiope &amp; Ciccioli, 2009;</ref><ref type="bibr">Hmiel et al., 2020;</ref><ref type="bibr">Petrenko et al., 2017)</ref>. Methane and CO are considerably more complex. Microbial sources comprise most of the preindustrial CH 4 emissions with geologic emissions as another possible, but debated source <ref type="bibr">(Dyonisius et al., 2020;</ref><ref type="bibr">Etiope &amp; Ciccioli, 2009;</ref><ref type="bibr">Hmiel et al., 2020;</ref><ref type="bibr">Petrenko et al., 2017)</ref>. CO has preindustrial sources from biomass burning and from atmospheric oxidation of methane and nonmethane hydrocarbons. To obtain a history of biomass burning from ice core CO and CH 4 , co-measurements of the stable isotopic composition of CH 4 and CO are required to partition the biomass burning source from their other sources <ref type="bibr">(Bock et al., 2017;</ref><ref type="bibr">Ferretti et al., 2005;</ref><ref type="bibr">Mischler et al., 2009;</ref><ref type="bibr">Sapart et al., 2012;</ref><ref type="bibr">Wang et al., 2010)</ref>. Uncertainties in the value of the isotopic source magnitudes through time ultimately leads to challenges interpreting the CO and CH 4 data and may explain some of the differences between trends in different ice core proxy records <ref type="bibr">(Sowers, 2010)</ref> (Figure <ref type="figure">1</ref>). <ref type="bibr">Nicewonger et al. (2020)</ref> demonstrated that the ice core acetylene, ethane, and methane biomass burning records have consistent temporal trends over the last 1,000 years with higher burning emissions during the 1000-1500 CE period (hereafter referred to as the Medieval Period, MP) followed by a sharp decline around 1500 CE into the Little Ice Age (LIA; 1650-1750 CE). Limited knowledge of the fossil fuel source magnitudes of acetylene and ethane after industrialization makes estimating the biomass burning source of these gases into the modern era highly uncertain <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020))</ref>. However, qualitatively, the ice cores levels of acetylene and ethane do not show any large changes into the mid-1800s from their mean level in the 1700s, indicating that the sources, including biomass burning, likely stayed low through the end of the nineteenth century (Figure <ref type="figure">2</ref>) <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020))</ref>. In contrast, the CO ice core record indicates increased biomass burning emissions around the late-1800s, consistent with the temporal trends found in the charcoal proxy record. The exact cause of the differences between the ice core acetylene, ethane, and methane records with the CO record has not yet be determined <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020) )</ref> and until co-measurements of all these gases are made in the same ice core, it may be challenging to resolve.</p><p>Here we focus on comparing the ice core acetylene, ethane, and methane records to determine if all three gases are consistent with a single fire history (dry matter burned per year) for the past 1,000 years. We utilize a base case in which the spatial/seasonal distribution of biomass burning and emission factors are fixed at their modern values (Global Fire Emissions Database Version 4, GFED4; van der <ref type="bibr">Werf et al., 2017)</ref>. There is abundant evidence to suggest the location of fires has changed over the past 1,000 years (e.g., <ref type="bibr">Marlon et al., 2008;</ref><ref type="bibr">Power et al., 2012)</ref>. The impact of such changes are explored in additional scenarios. Other 10.1029/2020JD032932 Journal of Geophysical Research: Atmospheres issues considered include the possible impact of changes in atmospheric lifetime of ethane and methane due to chlorine atoms, variability in the isotopic signatures of methane sources, and changes in trace gas emission factors.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Atmospheric Cycling and Budgets of Acetylene, Ethane, and Methane</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Acetylene</head><p>Acetylene is released from incomplete combustion processes, including fossil fuel and biofuel burning and biomass burning <ref type="bibr">(Whitby &amp; Altwicker, 1978;</ref><ref type="bibr">Xiao et al., 2007)</ref>. The global acetylene budget is estimated at roughly 7 Tg year -1 with about half of the emissions from biofuel burning and the remaining half split equally between fossil fuel and biomass burning <ref type="bibr">(Xiao et al., 2007)</ref>. Acetylene may also have a small source from partial combustion of methane through geologic outgassing (i.e., mud volcanoes) <ref type="bibr">(Anderson, 1958;</ref><ref type="bibr">Gunter &amp; Musgrave, 1971;</ref><ref type="bibr">Liu et al., 2017)</ref>. This source is not well quantified but is likely to be a minor component of the budget <ref type="bibr">(Nicewonger et al., 2020)</ref>. Acetylene is lost in the atmosphere via reaction with the hydroxyl radical, resulting in a global mean lifetime of roughly 2-3 weeks <ref type="bibr">(Burkholder et al., 2015;</ref><ref type="bibr">Xiao et al., 2007)</ref>. A minor sink to chlorine atoms also occurs, but this sink accounts for less than 1% of the total loss <ref type="bibr">(Burkholder et al., 2015;</ref><ref type="bibr">Wang et al., 2019)</ref> and therefore does not contribute significantly to variability in atmospheric acetylene levels. Acetylene is an ideal proxy for paleobiomass burning because the biomass burning source is believed to be the only major source of acetylene to the preindustrial atmosphere <ref type="bibr">(Nicewonger et al., 2020)</ref>. The ice core records of acetylene from Greenland and Antarctica are shown in Figure <ref type="figure">2</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Ethane</head><p>Ethane is emitted to the modern atmosphere primarily from the production, processing, transmission and use of oil and natural gas, burning of biofuels and biomass, and natural geologic seeps <ref type="bibr">(Etiope &amp; Ciccioli, 2009;</ref><ref type="bibr">Helmig et al., 2016;</ref><ref type="bibr">Pozzer et al., 2010;</ref><ref type="bibr">Rudolph, 1995;</ref><ref type="bibr">Simpson et al., 2012;</ref><ref type="bibr">Tzompa-Sosa et al., 2017;</ref><ref type="bibr">Xiao et al., 2008)</ref>. Minor emissions from oceanic and terrestrial ecosystems have been suggested but are highly uncertain <ref type="bibr">(Clarkson et al., 1997;</ref><ref type="bibr">Plass-D&#252;lmer et al., 1995;</ref><ref type="bibr">Stein &amp; Rudolph, 2007)</ref>. Total global emissions of ethane have been estimated at 10-20 Tg year -1 with roughly two thirds of the budget from human use of fossil fuels and biofuels <ref type="bibr">(Aydin et al., 2011;</ref><ref type="bibr">Dals&#248;ren et al., 2018;</ref><ref type="bibr">Etiope &amp; Ciccioli, 2009;</ref><ref type="bibr">Franco et al., 2016;</ref><ref type="bibr">Helmig et al., 2016;</ref><ref type="bibr">Nicewonger et al., 2016;</ref><ref type="bibr">Rudolph, 1995;</ref><ref type="bibr">Simpson et al., 2012;</ref><ref type="bibr">Tzompa-Sosa et al., 2017;</ref><ref type="bibr">Xiao et al., 2008)</ref>. The largest natural source of ethane is from biomass burning emissions with global emissions around 3.4 Tg year -1 during the satellite era (1997-2017) <ref type="bibr">(Giglio et al., 2013;</ref><ref type="bibr">van der Werf et al., 2017)</ref>. Geologic ethane emissions in the modern atmosphere are estimated at 2-4 Tg year -1 <ref type="bibr">(Etiope &amp; Ciccioli, 2009)</ref>. However, the importance and magnitude of geologic hydrocarbons in the preindustrial atmosphere has been heavily debated based on measurements of radiocarbon-free methane in ice cores <ref type="bibr">(Dyonisius et al., 2020;</ref><ref type="bibr">Hmiel et al., 2020;</ref><ref type="bibr">Petrenko et al., 2017)</ref>.</p><p>The major sink of atmospheric ethane is via oxidation with the hydroxyl radical (OH) resulting in a global mean lifetime of roughly 2 months <ref type="bibr">(Burkholder et al., 2015;</ref><ref type="bibr">Poisson et al., 2000;</ref><ref type="bibr">Rudolph, 1995;</ref><ref type="bibr">Xiao et al., 2008)</ref>. Ethane is also oxidized by chlorine atoms which are produced in the marine boundary layer by reactions involving marine aerosols and polluted air <ref type="bibr">(Knipping &amp; Dabdub, 2003;</ref><ref type="bibr">Lawler et al., 2009;</ref><ref type="bibr">Wang et al., 2019)</ref>. The reaction rate constant with chlorine occurs at a rate roughly 230 times faster than the reaction rate constant with <ref type="bibr">OH (Burkholder et al., 2015)</ref>. This reaction has been omitted from most budget analyses of ethane (e.g., <ref type="bibr">Pozzer et al., 2010;</ref><ref type="bibr">Tzompa-Sosa et al., 2017;</ref><ref type="bibr">Xiao et al., 2008)</ref> because the distribution and magnitude of chlorine atoms is not well known. Recent analysis by <ref type="bibr">Wang et al. (2019)</ref> shows the reaction with chlorine may constitute a significant portion (~20%) of the ethane sink. The ice core records of ethane from Greenland and Antarctica are shown in Figure <ref type="figure">2</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Methane</head><p>Methane is emitted to the atmosphere through fossil fuel production, transport and use (including natural gas, coal, and oil), biomass and biofuel burning, geologic outgassing (seepage), and biogenic sources (e.g., wetlands, ruminant animals, agriculture and waste, and thawing permafrost) <ref type="bibr">(Dlugokencky et al., 2011;</ref><ref type="bibr">Etiope, 2012;</ref><ref type="bibr">Kirschke et al., 2013;</ref><ref type="bibr">Nisbet et al., 2014)</ref>. Roughly two-thirds of methane emissions today are from human activities. The main destruction of atmospheric methane occurs via oxidation with the hydroxyl radical (OH) resulting in an atmospheric lifetime of roughly 9-10 years <ref type="bibr">(Dlugokencky et al., 2011;</ref><ref type="bibr">Kirschke et al., 2013;</ref><ref type="bibr">Prather et al., 2012)</ref>. Methane is also lost by reaction with chlorine atoms. The magnitude of this sink term is not well constrained but is estimated in the range of 1-5% of the total loss <ref type="bibr">(Allan et al., 2007;</ref><ref type="bibr">Prather et al., 2012;</ref><ref type="bibr">Wang et al., 2019)</ref>.</p><p>Ice core measurements of the abundance of methane and its stable isotopic composition (&#948; 13 CH 4 ) have been used to reconstruct the preindustrial methane budget (Figure <ref type="figure">2</ref>) <ref type="bibr">(Beck et al., 2018;</ref><ref type="bibr">Bock et al., 2017;</ref><ref type="bibr">Ferretti et al., 2005;</ref><ref type="bibr">Mischler et al., 2009;</ref><ref type="bibr">Sapart et al., 2012)</ref>. Inferring emissions from methane isotopic measurements and methane concentration requires knowledge of the isotopic end-member values for each source. These are known for the modern atmosphere <ref type="bibr">(Schwietzke et al., 2016)</ref>, but there may be climate or ecology induced changes in end-member values on centennial or millennial time scales <ref type="bibr">(Sowers, 2010)</ref>. Changes to the &#948; 13 C of atmospheric CO 2 due to industrialization has also altered the isotopic values of the biogenic and biomass burning methane sources as plants are using more depleted &#948; 13 C in their photosynthetic process, but these changes are well characterized <ref type="bibr">(Rubino et al., 2013)</ref>. The large kinetic isotope effect associated with reaction of CH 4 with chlorine atoms introduces another source of uncertainty in the preindustrial methane isotope budget that has not been addressed in previous studies <ref type="bibr">(Ferretti et al., 2005;</ref><ref type="bibr">Lassey et al., 2007;</ref><ref type="bibr">Nicewonger et al., 2018)</ref>.</p><p>The geologic outgassing of methane is a subject of current debate. <ref type="bibr">Etiope and Schwietzke (2019)</ref> proposed that such emissions comprise 45 (27-63) Tg CH 4 year -1 , based on surface measurements from several hundred global sites. If constant, this would comprise roughly 20% of the preindustrial methane budget. Ice core &#916; 14 CH 4 measurements indicate a much lower fraction of radiocarbon-depleted CH 4 , with best estimates all less than 20 Tg year -1 <ref type="bibr">(Dyonisius et al., 2020;</ref><ref type="bibr">Hmiel et al., 2020;</ref><ref type="bibr">Petrenko et al., 2017)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Methods</head><p>Here we describe the use of models to infer the biomass burning required to account for previously published ice core measurements of ethane <ref type="bibr">(Nicewonger et al., 2018)</ref>, acetylene <ref type="bibr">(Nicewonger et al., 2020)</ref> and methane and &#948; 13 CH 4 <ref type="bibr">(Bock et al., 2017;</ref><ref type="bibr">Ferretti et al., 2005;</ref><ref type="bibr">MacFarling Meure et al., 2006;</ref><ref type="bibr">Mischler et al., 2009;</ref><ref type="bibr">Mitchell et al., 2011;</ref><ref type="bibr">Sowers, 2010)</ref>. For the short-lived gases, ethane and acetylene, a 3-D chemistry transport model was used to quantify how the levels of these gases over Greenland and Antarctica relate to emissions from different geographic footprints (section 3.1). For the longer-lived gas, methane, a one-box global atmospheric  <ref type="bibr">Ferretti et al., 2005)</ref>, WDC05A (triangles, <ref type="bibr">Mischler et al., 2009)</ref>, and TALDICE (circles, <ref type="bibr">Bock et al., 2017)</ref> ice cores; right: Antarctic ice core methane (in nmol mol -1 ) from WDC05A <ref type="bibr">(Mitchell et al., 2011)</ref> and Law Dome <ref type="bibr">(Etheridge et al., 1998)</ref>. Error bars on the acetylene and ethane measurements represent 1&#963; uncertainties.</p><p>10.1029/2020JD032932</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Journal of Geophysical Research: Atmospheres</head><p>model is used to estimate the global methane mixing ratio and &#948; 13 CH 4 isotopic signature for various emission scenarios (section 3.2). Using the ice core levels as a constraint, we estimate the emissions of the trace gases under various scenarios. A discussion of how emission scenarios were evaluated is described in section 3.3. Scenarios exploring changes in atmospheric lifetime due to the presence of chlorine atoms are also described (section 3.4).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Modeling: Chemistry Transport Model</head><p>The UCI-Chemistry Transport Model (UCI-CTM) is a 3-D tropospheric CTM <ref type="bibr">(Holmes et al., 2013;</ref><ref type="bibr">Prather &amp; Hsu, 2010)</ref>. It was run with roughly 2.8&#176;horizontal resolution and 57 vertical layers. Transport was driven by the European Center for Medium-Range Weather Forecasts (ECMWF) reanalysis-forecast meteorological fields, using tropospheric chemistry described by <ref type="bibr">Holmes et al. (2013)</ref>. Fossil fuel emissions of acetylene and ethane were based on the Representative Concentration Pathway (RCP) year 2000 inventories <ref type="bibr">(Lamarque et al., 2010)</ref>. Biomass burning emissions of dry matter were based on the Global Fire Emissions Database Version 3.1 (GFED3.1; van der <ref type="bibr">Werf et al., 2010)</ref>. Emission factors were used to calculate biomass burning emissions of acetylene and ethane from dry matter emissions <ref type="bibr">(Akagi et al., 2011;</ref><ref type="bibr">Andreae, 2019)</ref>.</p><p>Acetylene and ethane have atmospheric lifetimes comparable to or shorter than the characteristic transport times from their major sources to the polar regions. Consequently, transport and removal must be considered in order to estimate the variations in emissions responsible for atmospheric histories derived from ice core data. The UCI-CTM was used to estimate the sensitivity (defined as pmol mol -1 per Tg year -1 emission) of acetylene and ethane levels over Greenland and Antarctica to various sources <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020))</ref>. Sensitivities were estimated by defining a reference model simulation of the modern atmosphere and adding acetylene-like and ethane-like tracer species <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020))</ref>. These tracers react with the same OH lifetime and stratospheric loss rate as acetylene and ethane but do not affect the abundance of OH in the model. The use of tracer species for this purpose is appropriate, as acetylene and ethane are low-level trace gases that do not significantly impact tropospheric photochemistry <ref type="bibr">(Prather, 1994)</ref>. Based on observational constraints, the best estimate of methane lifetime due to OH oxidation is 11.2 years <ref type="bibr">(Prather et al., 2012)</ref>. The UCI-CTM is slightly more reactive, with an OH methane lifetime of 8.9 years. To compensate for the elevated reactivity of the model, the OH reaction coefficients for acetylene and ethane were reduced by 25% (see supporting information, SI).</p><p>Simulations were conducted for a 3-year period using meteorological fields from 2005-2007 and the final year (2007) was used to calculate annual average air mass weighted acetylene and ethane mole fractions.</p><p>Sensitivities for acetylene and ethane over Greenland and Antarctica were calculated as follows:</p><p>Sensitivity &#188; abundance over polar region emissions (1) in units of pmol mol -1 /Tg year -1 . Acetylene and ethane levels were calculated from model output by integrating the mass of each compound and the mass of air from the surface to roughly 500 hPa over the polar regions (60-90&#176;N for Greenland and 60-90&#176;S for Antarctica). Acetylene levels in each high latitude region are relatively uniform, consistent with global chemistry transport modeling <ref type="bibr">(Nicewonger et al., 2020)</ref>. Therefore, using the average mixing ratios in these regions is representative of the average mixing ratios over Greenland and Antarctica. Sensitivities were computed for emissions from biomass burning (from several different regions), biofuels, fossil fuels, and geologic emissions (Table <ref type="table">1</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Modeling: Methane and 13 CH 4 Box Model</head><p>A one-box steady state atmospheric box model based on <ref type="bibr">Nicewonger et al. (2018)</ref> was used to calculate methane mixing ratios and the &#948; 13 CH 4 isotopic signature for a range of emission scenarios. The model includes emissions from biogenics (wetlands and agriculture), biomass and biofuel burning, and geologic outgassing. Sources were assigned a 13 C/ 12 C ratio based on the modern inventory from <ref type="bibr">Schwietzke et al. (2016)</ref> with the biomass burning, biofuel burning, and biogenic sources adjusted by 1.8&#8240; to account for the depletion in atmospheric &#948; 13 CO 2 since industrialization <ref type="bibr">(Rubino et al., 2013;</ref><ref type="bibr"/> Table S1). The model includes CH 4 losses to OH, soil, and the stratosphere and simulations are done with and without a chlorine sink. The lifetimes of CH 4 with respect to OH, soil, stratosphere, and chlorine are 11.2, 200, 120, and 10.1029/2020JD032932</p><p>Journal of Geophysical Research: Atmospheres 200 years, respectively <ref type="bibr">(Prather et al., 2012)</ref>. The isotope fractionation factors for the OH, soil, stratosphere, and chlorine sinks are 0.995, 0.980, 0.997, and 0.940, respectively <ref type="bibr">(Lassey et al., 2007)</ref>. The model solves the mass balance equations for CH 4 , 12 CH 4 , and 13 CH 4 and results are reported as CH 4 mole fraction (nmol mol -1 ) and &#948; 13 CH 4 (per mil, &#8240;).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3.">Evaluating Emission Scenarios</head><p>The UCI-CTM sensitivities were used to calculate the levels of acetylene and ethane over Greenland and Antarctica for a variety of emission scenarios by summing over the various types of emissions multiplied by the sensitivity of that emission type. In all scenarios, biofuel emissions of acetylene and ethane were fixed at 0.5 Tg year -1 (van <ref type="bibr">Aardenne et al., 2001)</ref>. The modeled Greenland and Antarctic acetylene and ethane levels were compared to the ice core observations (Table <ref type="table">S2</ref>). Emission scenarios were evaluated for two defined time periods, the MP (1000-1500 CE) when acetylene and ethane levels were high and the Little Ice Age (LIA: 1650-1750 CE) when acetylene and ethane levels were low, using the following metrics, with acetylene as an example:</p><p>where m stands for the modeled acetylene level and o for the observed mean level of acetylene from the ice core record from Greenland (grn) and Antarctica (ant). Emissions scenarios were considered viable if &#916; acetylene, grn and &#916; acetylene , ant were both &lt;0.1 and rejected if either &#916; acetylene, grn or &#916; acetylene , ant were &gt;0.1 as was done in <ref type="bibr">Nicewonger et al. (2018</ref><ref type="bibr">Nicewonger et al. ( , 2020))</ref>.</p><p>A similar approach was used to evaluate emission scenarios of methane calculated using the one-box model. Emissions of methane from biomass burning, microbial, and geologic sources were varied over a broad range. The resulting methane and &#948; 13 CH 4 from each emission scenario were compared to ice core records of CH 4 and &#948; 13 CH 4 (Table <ref type="table">S2</ref>). Emission scenarios were evaluated for defined time periods by using the following metrics: </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.">Chlorine Sink</head><p>Chlorine atoms are estimated to account for roughly 1-5% of the total loss of methane <ref type="bibr">(Allan et al., 2007;</ref><ref type="bibr">Prather et al., 2012;</ref><ref type="bibr">Wang et al., 2019)</ref>. The reaction rate (k ethane ) for ethane with chlorine at 298 K is 5.69 &#215; 10 -11 cm 3 molecules -1 s -1 <ref type="bibr">(Burkholder et al., 2015)</ref>. The reaction rate (k methane ) for methane with chlorine at 298 K is 1.00 &#215; 10 -13 cm 3 molecules -1 s -1 <ref type="bibr">(Burkholder et al., 2015)</ref>. The ratio of k ethane /k methane is roughly 569. Assuming the upper limit chlorine sink of 5% of total methane loss, the resulting methane lifetime due to chlorine loss is about 200 years <ref type="bibr">(Prather et al., 2012)</ref>. Using this lifetime, and the k ethane /k methane ratio, we calculated the impact on the ethane sink as follows:</p><p>where &#964; OH is the lifetime of ethane due to OH oxidation (which we assumed is 2.5 months or roughly 0.21 years); &#964; Cl is the lifetime of ethane due to chlorine oxidation, which is calculated based on the methane lifetime due to chlorine loss and the ratio of k ethane /k methane to chlorine:</p><p>where 200 years is the methane lifetime due to a 5% total loss from chlorine oxidation, and k ethane /k methane is the relative ratio between the reaction rates of ethane and methane to chlorine. The &#964; total becomes</p><p>Thus, a 5% chlorine methane sink means that about 40% of all ethane loss occurs due to reaction with chlorine. <ref type="bibr">Wang et al. (2019)</ref> estimates from an oxidant-aerosol-halogen atmospheric chemistry model that chlorine contributes 1% to the global oxidation of methane and 20% to ethane. Our calculated response for ethane to chlorine oxidation is slightly less than what is expected from the Wang et al. ( <ref type="formula">2019</ref>) results. Sensitivities were calculated from the UCI-CTM over a range of lifetimes for ethane, including the extreme case of a 40% chlorine sink. In doing this it was assumed that the chlorine field is identical to the OH field in the UCI-CTM, which is not necessarily correct but can be considered a reasonable approximation <ref type="bibr">(Wang et al., 2019)</ref>. In scenarios with chlorine oxidation enabled, the 40% case sensitivities were used for ethane (Table <ref type="table">S3</ref>). Journal of Geophysical Research: Atmospheres</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Results and Discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1.">Emissions Scenarios for the Medieval and Little Ice Age Periods</head><p>The first step in the analysis is to develop emissions scenarios for acetylene, ethane, and methane that satisfy the observed ice core data for each trace gas. In constructing those scenarios, the geologic sources of methane and ethane were limited to two possible conditions: (1) 0 or (2) the high end of the range permitted by radiocarbon measurements of ice core methane <ref type="bibr">(Dyonisius et al., 2020;</ref><ref type="bibr">Hmiel et al., 2020;</ref><ref type="bibr">Petrenko et al., 2017)</ref>.</p><p>For acetylene, we assumed a maximum geologic emission of 0.5 Tg year -1 during the preindustrial based on results from <ref type="bibr">Nicewonger et al. (2020)</ref>, although there is no quantitative evidence to suggest the geologic acetylene source is nonzero. Similarly, two different estimates for the atmospheric chlorine sink for ethane and methane were allowed: (1) 0% for both compounds and (2) 40% and 5% for ethane and methane, respectively, based on the calculations in section 3.4. The chlorine sink is not significant for acetylene and is kept at 0% in all scenarios. These constraints result in four different emission scenarios: no geologic emissions with no chlorine sink (noGEO-noCl), no geologic emissions with a high chlorine sink (noGEO-highCl), low geologic emissions with no chlorine sink (lowGEO-noCl), and low geologic emissions with a high chlorine sink (lowGEO-highCl) (Table <ref type="table">2</ref>).</p><p>In the model simulations for acetylene and ethane, boreal (90-50&#176;N) and non-boreal (90&#176;S to 50&#176;N) biomass burning emissions can vary independently. Greenland exhibits very high sensitivity emissions from boreal fires, and the boreal burning emissions must be allowed to vary independently in order to simulate the different trends in Greenland and Antarctic ice cores <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020))</ref>. In contrast, Antarctic acetylene and ethane exhibits very low sensitivity to boreal burning emissions. Antarctic ice core records of acetylene and ethane primarily reflect tropical burning, which comprises the bulk of global biomass burning emissions today based on the CTM sensitivities and geographic distribution of fires <ref type="bibr">(Nicewonger et al., 2018</ref><ref type="bibr">(Nicewonger et al., , 2020))</ref>. In the following discussion, the biomass burning acetylene and ethane emissions are reported as the sum of the emissions from boreal and non-boreal regions (see Tables <ref type="table">3</ref> and <ref type="table">4</ref> for breakdown).</p><p>Because of the long atmospheric lifetime of methane, differences in sensitivity due to the geographic location of emissions are negligible. As such, methane emissions are also reported as global totals (Table <ref type="table">5</ref>).  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Journal of Geophysical Research: Atmospheres</head><p>There are similarities in the inferred biomass burning emissions of acetylene, ethane, and methane over the last 1,000 years in the four emission scenarios (Figure <ref type="figure">3</ref>). There is a large decline in biomass burning emissions for all three gases from the MP (1000-1500 CE) to the LIA (1650-1750 CE). The acetylene history exhibits a 49-55% decline from the MP to the LIA with most of this due to a reduction in non-boreal (tropical) emissions. For methane and ethane, the decline in emissions from the MP to LIA are 21-57% and 22-35%, respectively. The ranges reflect the different constraints imposed by the geologic source strength and atmospheric chlorine sink (Figure <ref type="figure">3</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2.">Is there a Single Preindustrial Fire History Consistent With Acetylene, Ethane, and Methane</head><p>Ice Core Records?</p><p>Emissions of acetylene, ethane, and methane from biomass burning are not equal by mass (i.e., not 1-g acetylene to 1-g methane), and so comparing the inferred biomass burning histories of these compounds together cannot allow us to answer the question of whether the ice core gas records indicate a single fire history. A fire history (dry matter burned) can be derived from each of the trace gas emission histories as follows:</p><p>H kg dry matter y &#188; E g trace gas y EF g trace gas kg dry matter <ref type="bibr">(9)</ref> where H is the fire history, E is the emissions history based on the ice core data, and EF is the trace gas specific emission factor. For this calculation we used boreal and non-boreal biome-weighted emission factors for acetylene and ethane, and a globally weighted emission factor for methane, assuming the same 10.1029/2020JD032932</p><p>Journal of Geophysical Research: Atmospheres geographic footprint and distribution of biomes as the GFED4 inventory (Tables <ref type="table">S5</ref> and <ref type="table">S6</ref>). In accordance with the trace gas histories, the fire histories show a large decline from the MP to the LIA, and the results exhibit sensitivity to assumptions about the chlorine sink and geologic emissions (Figure <ref type="figure">4</ref> and Table <ref type="table">6</ref>).</p><p>The fire histories (dry matter burned) inferred from the three gases for the past 1,000 years do not agree under the admittedly unrealistic assumption of modern fire and biogeography. At most two of the trace gases yield similar dry matter burned histories for any of the four model scenarios. Interestingly, the shortest-lived gas, acetylene, yields the highest dry matter burned through time in all scenarios. This suggests that changes in the geographic distribution of fires could reconcile the burning histories. For example, sedimentary charcoal records in various locations across the globe depict different fire activity histories (e.g., <ref type="bibr">Marlon et al., 2008 ;</ref><ref type="bibr">Power et al., 2012)</ref>. South American speleothem proxy records suggest a southward shift in the location of the Intertropical Convergence Zone (ITCZ) during the Little Ice Age leading to an enhanced South American summer monsoon <ref type="bibr">(Haug et al., 2001;</ref><ref type="bibr">Sachs et al., 2009;</ref><ref type="bibr">Vuille et al., 2012)</ref>. One could Table 6 Dry Matter Burned (Pg year -1 ) Inferred From the Three Ice Core Gas Records Scenario Acetylene Ethane Methane MP LIA % decline MP LIA % decline MP LIA % decline noGEO-noCl 17.34 &#177; 2.50 8.89 &#177; 1.17 49 7.89 &#177; 0.88 5.86 &#177; 0.71 26 8.74 &#177; 0.75 6.91 &#177; 0.62 21 noGEO-highCl 17.34 &#177; 2.50 8.89 &#177; 1.17 49 13.33 &#177; 1.23 9.91 &#177; 0.99 26 5.84 &#177; 0.55 3.86 &#177; 0.46 34 lowGEO-noCl 14.48 &#177; 2.33 6.55 &#177; 1.00 55 4.99 &#177; 0.81 2.94 &#177; 0.61 41 6.39 &#177; 0.75 4.55 &#177; 0.62 28 lowGEO-highCl 14.48 &#177; 2.33 6.55 &#177; 1.00 55 10.32 &#177; 1.14 6.94 &#177; 0.87 33 3.54 &#177; 0.54 1.51 &#177; 0.38 57 10.1029/2020JD032932</p><p>Journal of Geophysical Research: Atmospheres hypothesize that shifting the ITCZ north or south impacts the location and extent of tropical burning which could result in the observations in the charcoal records <ref type="bibr">(Marlon et al., 2008;</ref><ref type="bibr">Power et al., 2012)</ref>. Such shifts could also influence the transport of the shorter-lived gases (acetylene and ethane) to the polar regions. Human activities also likely influenced the spatial distribution of burning. Pollen records in Meso-and South America during the last 2,000 years show a succession from forests to savanna, likely driven by human activities <ref type="bibr">(Flantua et al., 2016)</ref>. Pollen studies in New Zealand also show shifts in vegetation due to human activities <ref type="bibr">(Elliot et al., 1998)</ref>. Additional changes to the vegetation landscape occurred after the catastrophic depopulation that occurred in the Americas following European contact in the mid to late fourteenth century <ref type="bibr">(Koch et al., 2019)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2.1.">Sensitivity to Changes in the Spatial Distribution of Biomes and Biomass Burning</head><p>Since a single fire history was unable to be reconstructed simply by scaling the modern distribution of fire, three additional model scenarios were constructed to explore the sensitivity of fire histories to possible changes in the spatial distributions of biomes and burning. Relative changes in regional burning patterns have been inferred from the global charcoal database and changes in biomes have been inferred from pollen and land use records <ref type="bibr">(Marlon et al., 2008;</ref><ref type="bibr">Pongratz et al., 2008;</ref><ref type="bibr">Power et al., 2012)</ref>. Rather than try to reproduce specific patterns of change implied by these records, we focused on a few extreme cases to test the limits of whether such changes could reconcile the burning histories from the three trace gases. These scenarios are described below.</p><p>1. All savanna/grassland (all-SAV) -This scenario is designed to examine the possibility that trace gas emission factors were different in the past due to variations in the spatial patterns of the types of vegetation <ref type="bibr">(Pongratz et al., 2008)</ref>. As an extreme case, we assumed that all the paleobiomass from the non-boreal zone had the trace gas emission factor of savanna/grassland (which comprises about 67% of dry matter burned today). These factors are lower than the GFED4 global weighted mean emission factor, which 10.1029/2020JD032932</p><p>Journal of Geophysical Research: Atmospheres considers all biomes in the non-boreal zone weighted by their total contribution to non-boreal emissions, so a correspondingly larger dry matter burned is required to achieve the same biomass burning emissions of each gas. In addition, the 13 CH 4 source end-member for biomass burning was changed to -12&#8240; to represent an all grassland dominated fire-regime <ref type="bibr">(Farquhar et al., 1989;</ref><ref type="bibr">Ferretti et al., 2005)</ref>. The all-SAV fire characteristics were applied to all four of the scenarios in Table <ref type="table">2</ref>. The results show only a slight reduction in the discrepancies between the inferred dry matter burned from acetylene, ethane, and methane (Figure <ref type="figure">5</ref>). Clearly, changing the emission factors to result in the highest ratio of emission to dry matter burned alone cannot resolve these discrepancies between the inferred dry matter histories from the three gases. 2. All South America (all-SA) -It is possible that the discrepancies observed in the dry matter burned using the modern spatial distribution of fires may be due to the fact that the location of fires has changed over the past 1,000 years. The abundances of shorter-lived trace gases in the atmosphere over the polar regions are sensitive to the location of fire emissions. Acetylene and ethane over Antarctica exhibit the highest sensitivity to emissions from South America as compared to any other southern latitude site (Table <ref type="table">1</ref>).</p><p>To test the influence of spatial changes in the distribution of fire, we moved all non-boreal biomass burning ethane and acetylene emissions to South America (Figure <ref type="figure">6</ref>), while keeping the same vegetation type distribution in South America as modern day (i.e., no changes to the emission factors). This reduces the burning required for these compounds relative to that for the longer-lived methane, which is insensitive to the location of emissions. The required dry matter burned from acetylene and ethane is significantly reduced and there is better agreement between the inferred dry matter burned histories from all the gases. It is important to emphasize that this is an extreme, and climatically unrealistic case, but it tests the upper limits of the hypothesis that the location of fires in the preindustrial was different than the modern era. Even in this improbable case, there is no scenario in which all three inferred dry 10.1029/2020JD032932</p><p>Journal of Geophysical Research: Atmospheres matter burned histories agree within their analytical uncertainties. This suggests that changes to the location of fires in the past cannot solely explain the differences observed in the dry matter histories from acetylene, ethane, and methane. 3. All savanna/grassland and all South America (all-SAV-SA) -Here the two previous cases are combined, with savanna/grassland emission ratios and all burning in South America. In this case, there is only one scenario in which all three inferred dry matter burned histories agree within estimated uncertainties (Figure <ref type="figure">7</ref>). This is the case where ethane and methane have no geologic emissions and a high chlorine sink.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2.2.">Sensitivity to Assumptions About Biofuel Emissions</head><p>The modern-day distribution of biofuel emissions used in our calculations may not reflect the preindustrial conditions <ref type="bibr">(Yevich &amp; Logan, 2003)</ref>. <ref type="bibr">Koch et al. (2019)</ref> suggest that MP indigenous populations, located in the Caribbean, Mexico, Central America, Inca Territory, Amazonia, South America, and North America, were roughly 60.5 million. Most of this population was in the tropics (30&#176;S to 30&#176;N). There is strong consensus that these populations relied heavily on biofuels. If biofuel emissions in the preindustrial were greater than previously thought and were more concentrated in the tropics than the modern inventory suggests, the required biomass burning emission scenarios implied from this work would be lower. However, replacing non-boreal (tropical) biomass burning emissions with tropically located biofuel emissions would be a roughly 1:1 trade off and would require the same total emissions to reconstruct the acetylene and ethane records. Reconstructing a single fire history from acetylene, ethane, and methane would still be challenging unless the biofuel sources (1) were heavily distributed toward the higher southern latitudes (&gt;30&#176;S) and (2) were heavily enriched in acetylene emissions over ethane and methane emissions. Emission factors from multiple biomass types do not indicate that this is realistic <ref type="bibr">(Akagi et al., 2011;</ref><ref type="bibr">Andreae, 2019;</ref><ref type="bibr">Andreae &amp; Merlet, 2001)</ref>. 10.1029/2020JD032932 The biomass burning histories of methane reconstructed here are sensitive to the isotopic end-members assigned to each source. It is likely that the methane isotope end-members are dynamic and change through time, particularly due to ecosystem shifts and changes in climate <ref type="bibr">(Sowers, 2010)</ref>. The complicated nature of the methane isotope budget makes interpreting paleobiomass burning emissions challenging, particularly over long time periods, and during periods of large climate shifts. We are unable to fully address all the complexities of the methane budget in this study, but acknowledge that some of the differences in the fire histories between acetylene, ethane, and methane may be due to the methane isotopic-end-member values used in our model.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.">Conclusions</head><p>The focus of this study is on developing a quantitative record of changes in biomass burning over the past millennium. Ice core gas records are among the only truly quantitative methods of inferring burning because the atmosphere physically integrates emissions across the planet. In this study, we show that ice core records of acetylene, ethane, and methane do not readily yield a single fire history even allowing dramatic changes in the distribution of fires and vegetation types. Uncertainties in background geologic emissions of ethane and methane and the chorine sink likely do not account for the differences in the dry matter burned histories derived from the three trace gases. One could argue that the results for methane are most uncertain, given the complexity of the budget, the difficulty in establishing whether isotopic end-members remain constant in time, and assumptions about changes in microbial emissions. Putting aside methane, the best agreement in the acetylene and ethane dry matter burned histories is from scenarios in which ethane has a large chlorine sink, consistent with recent modeling work by <ref type="bibr">Wang et al. (2019)</ref>. This suggests that chlorine plays an important role in the global ethane budget and should be included in future analyses. The history of atmospheric hydrocarbons in polar ice clearly contains a wealth of useful information about the history of burning. However, further work is needed to fully understand those records in a quantitative sense.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="13" xml:id="foot_0"><p>CH 4 (purple;<ref type="bibr">Ferretti et al., 2005)</ref>. (b) Inferred biomass burning emissions from carbon monoxide and its isotopes (pink;<ref type="bibr">Wang et al., 2010)</ref> and global fire activity from global charcoal<ref type="bibr">(Marlon et al., 2008)</ref>.10.1029/2020JD032932Journal of Geophysical Research: Atmospheres</p></note>
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