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GLOBAL BIOGEOCHEMICAL CYCLES, VOL. 17, NO. 1, 1030, doi:10.1029/2002GB001933, 2003<strong>Effects</strong> <strong>of</strong> <strong>photorespiration</strong>, <strong>the</strong> <strong>cytochrome</strong> <strong>pathway</strong>, <strong>and</strong> <strong>the</strong>alternative <strong>pathway</strong> on <strong>the</strong> triple isotopic composition <strong>of</strong>atmospheric O 2Alon Angert 1Institute <strong>of</strong> Earth Sciences, Hebrew University <strong>of</strong> Jerusalem, Jerusalem, IsraelShimon RachmilevitchDepartment <strong>of</strong> Plant Sciences, Institute <strong>of</strong> Life Sciences, Hebrew University <strong>of</strong> Jerusalem, Jerusalem, IsraelEugeni Barkan <strong>and</strong> Boaz LuzInstitute <strong>of</strong> Earth Sciences, Hebrew University <strong>of</strong> Jerusalem, Jerusalem, IsraelReceived 21 May 2002; revised 21 November 2002; accepted 21 November 2002; published 25 March 2003.[1] The triple isotopic composition <strong>of</strong> atmospheric O 2 is a new tracer used to estimatechanges in global productivity. To estimate such changes, knowledge <strong>of</strong> <strong>the</strong> relationshipbetween <strong>the</strong> discrimination against 17 O <strong>and</strong> <strong>the</strong> discrimination against 18 O is needed.This relationship is presented as q =ln( 17 a)/ln( 18 a). Here, <strong>the</strong> value <strong>of</strong> <strong>the</strong>ta wasevaluated for <strong>the</strong> most important processes that affect <strong>the</strong> isotopic composition <strong>of</strong>oxygen. Similar values were found for dark respiration through <strong>the</strong> <strong>cytochrome</strong> <strong>pathway</strong>(0.516 ± 0.001) <strong>and</strong> <strong>the</strong> alternative <strong>pathway</strong> (0.514 ± 0.001), <strong>and</strong> slightly higher valuewas found for diffusion in air (0.521 ± 0.001). The combined effect <strong>of</strong> diffusion <strong>and</strong>respiration on <strong>the</strong> atmosphere was shown to be close to that <strong>of</strong> dark respiration. Thevalue we found for <strong>photorespiration</strong> (0.506 ± 0.005) is considerably lower than that <strong>of</strong>dark respiration. Our results clearly show that <strong>the</strong> triple isotopic composition <strong>of</strong> <strong>the</strong>atmosphere is affected by <strong>the</strong> relative rates <strong>of</strong> <strong>photorespiration</strong> <strong>and</strong> dark respiration.Also, we show that closing <strong>the</strong> current global isotopic balance will enable <strong>the</strong> estimation<strong>of</strong> <strong>the</strong> current global rate <strong>of</strong> <strong>photorespiration</strong>. Using <strong>the</strong> Last Glacial Maximum as a casestudy, we show that variations in global rate <strong>of</strong> <strong>photorespiration</strong> affected <strong>the</strong> tripleisotopic composition in <strong>the</strong> past. Strong fractionations measured in illuminated plantsindicated that <strong>the</strong> alternative <strong>pathway</strong> is activated in <strong>the</strong> same conditions that favor highrate <strong>of</strong> <strong>photorespiration</strong>. This activation suggests that <strong>the</strong> global rate <strong>of</strong> <strong>the</strong> alternative<strong>pathway</strong> is higher than believed thus far, <strong>and</strong> may help to close <strong>the</strong> gap between <strong>the</strong>calculated <strong>and</strong> measured Dole Effect. INDEX TERMS: 0315 Atmospheric Composition <strong>and</strong>Structure: Biosphere/atmosphere interactions; 0365 Atmospheric Composition <strong>and</strong> Structure: Troposphere—composition <strong>and</strong> chemistry; 1040 Geochemistry: Isotopic composition/chemistry; 1615 Global Change:Biogeochemical processes (4805); KEYWORDS: triple isotope, oxygen isotopes, Dole Effect,<strong>photorespiration</strong>, LGM, 17 OCitation: Angert, A., S. Rachmilevitch, E. Barkan, <strong>and</strong> B. Luz, <strong>Effects</strong> <strong>of</strong> <strong>photorespiration</strong>, <strong>the</strong> <strong>cytochrome</strong> <strong>pathway</strong>, <strong>and</strong> <strong>the</strong>alternative <strong>pathway</strong> on <strong>the</strong> triple isotopic composition <strong>of</strong> atmospheric O 2 , Global Biogeochem. Cycles, 17(1), 1030,doi:10.1029/2002GB001933, 2003.1. Introduction[2] The isotopic composition <strong>of</strong> atmospheric O 2 fluctuatedover glacial-interglacial timescales. Variations in <strong>the</strong>ratios <strong>of</strong> all three stable O 2 isotopes were applied to estimatechanges in global gross production [Luz et al., 1999]. The1 Now at Center for Atmospheric Sciences, University <strong>of</strong> California,Berkeley, Berkeley, California, USA.Copyright 2003 by <strong>the</strong> American Geophysical Union.0886-6236/03/2002GB001933$12.00difference between <strong>the</strong> 18 O/ 16 O ratio <strong>of</strong> atmospheric O 2 <strong>and</strong>seawater H 2 O is known as <strong>the</strong> Dole Effect. Variations in <strong>the</strong>Dole Effect, are used to estimate changes in <strong>the</strong> ratio <strong>of</strong>marine to terrestrial productivity in <strong>the</strong> past [Bender et al.,1994]. To improve interpretation <strong>of</strong> past atmosphericchanges, it is necessary to underst<strong>and</strong> <strong>the</strong> basic processesaffecting atmospheric isotopic composition.[3] Atmospheric O 2 is produced by photosyn<strong>the</strong>sis withoutisotopic fractionation from <strong>the</strong> substrate water [Guy etal., 1993]. Thus, marine photosyn<strong>the</strong>sis results in production<strong>of</strong> O 2 with identical isotopic composition to seawater.30 - 1


30 - 2 ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPESThe substrate water in leaves is enriched in 17 O <strong>and</strong> 18 Othrough evapotranspiration [Dongmann, 1974]. As a result,terrestrial photosyn<strong>the</strong>sis produces O 2 that, on average, isenriched in <strong>the</strong>se heavy isotopes. In both marine <strong>and</strong>terrestrial systems, <strong>the</strong> major cause <strong>of</strong> <strong>the</strong> heavy isotopeenrichment is preferential removal <strong>of</strong> 16 O (over 17 O <strong>and</strong>18 O) by biological uptake mechanisms [Lane <strong>and</strong> Dole,1956]. This preferential removal is mass-dependent <strong>and</strong> <strong>the</strong>relative increase in 17 O/ 16 O is about half (0.52) <strong>of</strong> <strong>the</strong>relative increase in 18 O/ 16 O (Figure 1). In addition toevapotranspiration <strong>and</strong> biological uptake, atmospheric O 2is also affected by photochemical reactions in <strong>the</strong> stratosphere[Luz et al., 1999]. These reactions preferentiallytransfer 17 O <strong>and</strong> 18 O from O 2 to CO 2 in a mass-independentway. Hence, in <strong>the</strong>se reactions <strong>the</strong> ratio <strong>of</strong> <strong>the</strong> increase in17 O/ 16 O over 18 O/ 16 O in CO 2 is equal to 1 or larger[Lämmerzahl et al., 2002; Thiemens, 1999]. As a result,O 2 becomes mass-independently depleted in <strong>the</strong> heavyisotopes [Bender et al., 1994]. At <strong>the</strong> surface <strong>of</strong> <strong>the</strong> Earth,<strong>the</strong> 17 O depletion <strong>of</strong> atmospheric O 2 is removed byexchange through photosyn<strong>the</strong>sis <strong>and</strong> uptake. Therefore,<strong>the</strong> net result is depletion in 17 O <strong>of</strong> atmospheric O 2 incomparison to O 2 affected by biological uptake alone(Figure 1). The magnitude <strong>of</strong> this depletion depends on<strong>the</strong> ratio <strong>of</strong> production <strong>of</strong> 17 O depleted O 2 in <strong>the</strong> stratosphere,<strong>and</strong> its destruction by biological cycling. Thus, pastvariations in <strong>the</strong> 17 O depletion can be used to infer changesin global biological productivity.[4] In order to apply this approach, it is necessary that <strong>the</strong>relationship between 17 O/ 16 O <strong>and</strong> 18 O/ 16 O to be known withgreat accuracy. However, <strong>the</strong> triple isotope relationships indifferent physical-chemical mass-dependent processes,varies slightly about 0.52 [Luz <strong>and</strong> Barkan, 2000; Matsuhisaet al., 1978; Young et al., 2002]. If this is also <strong>the</strong> casefor O 2 consumption by different biological mechanisms,<strong>the</strong>n a change in <strong>the</strong> ratio <strong>of</strong> uptake by <strong>the</strong> different <strong>pathway</strong>swill result in variations in <strong>the</strong> magnitude <strong>of</strong> <strong>the</strong> 17 Odepletion. As a consequence, past variations in this parameterwill be misinterpreted.[5] In interpretations <strong>of</strong> variations in <strong>the</strong> Dole Effect it isusually assumed that <strong>the</strong> major driving force is changes in<strong>the</strong> terrestrial to marine production rate (terrestrial producedO 2 is heavier than marine produced, because <strong>of</strong> <strong>the</strong> enrichment<strong>of</strong> leaf water in evapotranspiration). An impliedassumption is that <strong>the</strong> enrichment due to biological uptakeremains constant. In <strong>the</strong> present paper, we explore <strong>the</strong>possibility that time variations in Dole Effect were alsoaffected by changes in <strong>the</strong> relative rates <strong>of</strong> O 2 uptake bydifferent biological mechanisms, that have different fractionationsassociated with <strong>the</strong>m. Consumption (or uptake) <strong>of</strong>O 2 in plants occurs via four mechanisms: ordinary respirationthrough <strong>the</strong> <strong>cytochrome</strong> oxidase <strong>pathway</strong> (COX), respirationby <strong>the</strong> alternative oxidase <strong>pathway</strong> (AOX), Mehlerreaction, <strong>and</strong> <strong>photorespiration</strong>. The first two processes takeplace in light as well as in dark conditions, while <strong>the</strong> lattertwo occur only under illumination. In addition, O 2 diffusionin air precedes biological uptake in some cases. The discriminationagainst 18 O associated with <strong>the</strong> AOX (28%)isstronger than <strong>the</strong> discrimination associated with o<strong>the</strong>r mechanisms(COX 18%, Mehler 15%, <strong>photorespiration</strong> Figure 1. Schematic plot (not to scale) <strong>of</strong> 17 O <strong>and</strong> 18 Orelative to 16 O variations. Oxygen is produced by photosyn<strong>the</strong>sis<strong>and</strong> it is fractionated by biological uptake in amass-dependent way, <strong>and</strong> by stratospheric photochemistryin a mass-independent way. The balance between <strong>the</strong>se twotypes <strong>of</strong> fractionation control <strong>the</strong> triple isotopic composition<strong>of</strong> atmospheric O 2 .22%). Hence, an increase in <strong>the</strong> proportion <strong>of</strong> O 2 uptake byAOX will significantly intensify <strong>the</strong> Dole Effect.[6] To improve <strong>the</strong> interpretation <strong>of</strong> past variations in <strong>the</strong>triple O 2 isotopes <strong>and</strong> <strong>the</strong> Dole Effect, we have investigated<strong>the</strong> effects <strong>of</strong> biological mechanisms in controlled laboratoryexperiments. In one set <strong>of</strong> experiments, we studiedtriple isotope variations due to uptake alone by COX <strong>and</strong>AOX, <strong>and</strong> due to removal by diffusion. In a second set <strong>of</strong>experiments, conducted in an airtight terrarium, we analyzed<strong>the</strong> combined effects <strong>of</strong> production <strong>and</strong> consumptionby both dark <strong>and</strong> light reactions in steady state betweenphotosyn<strong>the</strong>sis <strong>and</strong> uptake.2. Triple Isotope Systematics2.1. Terminology[7] Atmospheric O 2 is depleted in 17 O due to stratosphericreactions. Hence, O 2 that is produced by photosyn<strong>the</strong>siswill have 17 O excess with respect to atmospheric O 2 .This 17 O excess was formulated in previous papers [Luz <strong>and</strong>Barkan, 2000; Luz et al., 1999] as D 17 O=d 17 O 0.521 d 18 O. However, this definition is somewhat problematicsince it contains a linear approximation to <strong>the</strong> mass-dependentfractionation, <strong>and</strong> because <strong>the</strong> parameter 0.521 (thatrepresents mass-dependent processes) depends on <strong>the</strong>choice <strong>of</strong> reference material. Here, we follow <strong>the</strong> suggestion<strong>of</strong> Miller [2002] for a new definition <strong>of</strong> <strong>the</strong> 17 O excess thatis free <strong>of</strong> <strong>the</strong>se problems:17 R18 R17 D ln C ln : ð1Þ17R18 ref R ref


ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES 30 - 3[8] The new definition <strong>of</strong> <strong>the</strong> 17 O excess will be noted as17 D to distinguish it from <strong>the</strong> old definition (D 17 O). 17 Rst<strong>and</strong>s for <strong>the</strong> isotope ratio 17 O 16 O/ 16 O 2 , 18 R st<strong>and</strong>s for <strong>the</strong>isotope ratio 18 O 16 O/ 16 O 2 , <strong>and</strong> <strong>the</strong> subscript ‘‘ref’’ st<strong>and</strong>s for<strong>the</strong> reference. It should be noted that 17 D is a calculatedvalue that depends both on <strong>the</strong> st<strong>and</strong>ard used <strong>and</strong> on <strong>the</strong>value <strong>of</strong> <strong>the</strong> parameter C. This parameter represents <strong>the</strong>triple isotope relationships in mass-dependent processes.However, as was mentioned in <strong>the</strong> introduction, <strong>the</strong>serelationships vary slightly about 0.52 for different processes.As a result, The chosen C value can only correspond to <strong>the</strong>relationship associated with one <strong>of</strong> <strong>the</strong> processes, preferably<strong>the</strong> main one. In this study we choose to use a value <strong>of</strong> C =0.516, which corresponds to ordinary dark respiration(COX), <strong>the</strong> most wide spread global O 2 uptake mechanism.[9] In <strong>the</strong> old definition <strong>of</strong> <strong>the</strong> 17 Oexcess(D 17 O) <strong>the</strong>variations in <strong>the</strong> isotopic composition were described on ad 17 O versus d 18 O plot. To describe <strong>the</strong> variation in <strong>the</strong> isotopiccomposition according to <strong>the</strong> new definition, two new termsthat will be used for <strong>the</strong> axes <strong>of</strong> such plot are suggested,Ln 17 O lnLn 18 O ln17 R17R ref18 R18R ref¼ ln d 17 O þ 1Þ¼ ln d 18 O þ 1Þ:[10] Ano<strong>the</strong>r advantage <strong>of</strong> 17 D,Ln 17 O <strong>and</strong> Ln 18 O is that<strong>the</strong>y are dimensionless. Hence, <strong>the</strong> value <strong>of</strong> a sample versus<strong>the</strong> reference exactly equals to <strong>the</strong> value <strong>of</strong> <strong>the</strong> referenceversus <strong>the</strong> sample with <strong>the</strong> opposite sign (this is not true forD 17 O, d 17 O <strong>and</strong> d 18 O). For convenience, Ln 17 O <strong>and</strong> Ln 18 Oare expressed as permil (%) <strong>and</strong> 17 D as per meg deviationsfrom <strong>the</strong> st<strong>and</strong>ard.[11] The slope <strong>of</strong> a line passing between two points (A<strong>and</strong> B) on a Ln 17 O versus Ln 18 O plot, will be defined as l,as in previous work [e.g., Miller, 2002], ln 17 R A = 17 R Bl : ð4Þln 18 R A = 18 R B[12] Following Mook [2000], <strong>the</strong> relationship between <strong>the</strong>discrimination against17 O <strong>and</strong> 18 O (relative to 16 O) ispresented asq ln ð17 aÞlnð 18 aÞ ; ð5Þwhere 17 a <strong>and</strong> 18 a are <strong>the</strong> fractionation factors x R p / x R s . Thesubscripts ‘‘p’’ <strong>and</strong> ‘‘s’’ st<strong>and</strong> for ‘‘product’’ <strong>and</strong> ‘‘substrate,’’respectively (x can be 17 or 18).[13] Blunier et al. [2002] used an additional relationshipbetween <strong>the</strong> discriminations,g ð2Þð3Þ17 a 118a 1 ¼ 17 e18e ; ð6Þwhere x e is x a 1.[14] The terms q <strong>and</strong> g describe <strong>the</strong> inherent relationshipbetween <strong>the</strong> discriminations, but cannot be measureddirectly. What can be measured is <strong>the</strong> slope (l) that iscontrolled by <strong>the</strong>se relationships <strong>and</strong> <strong>the</strong> processes thattake place in <strong>the</strong> system. In <strong>the</strong> special case <strong>of</strong> a systemat steady state, in which production equals uptake, <strong>the</strong>slope (l) is equal to q (see section 2.2). In <strong>the</strong> specialcase <strong>of</strong> a system where only uptake takes place, <strong>the</strong> slope(l) is equal to g (see section 2.3). Hence, by conductingexperiments in such systems, q or g could be calculatedfrom <strong>the</strong> measured l. In o<strong>the</strong>r systems (for example, inones where mixing takes place) <strong>the</strong> slope can be differentfrom both q <strong>and</strong> g. The difference between <strong>the</strong> value <strong>of</strong> q<strong>and</strong> g is small (0.003), but since <strong>the</strong> 17 O excessvariations in O 2 are minute such a difference cannot beneglected.[15] This paper deals with <strong>the</strong> effect <strong>of</strong> <strong>the</strong> biosphere on<strong>the</strong> triple isotopic composition <strong>of</strong> <strong>the</strong> atmosphere. Since <strong>the</strong>biosphere-atmosphere system is close to production-uptakesteady state, we chose to use q to report <strong>the</strong> relationshipbetween discriminations.2.2. Production-Uptake Steady State[16] In this study, we used a terrarium similar to that <strong>of</strong>Luz et al. [1999] to estimate <strong>the</strong> q value associated with<strong>photorespiration</strong>. To underst<strong>and</strong> how <strong>the</strong> q value <strong>of</strong> aprocess can be evaluated from such experiment, we willdiscuss <strong>the</strong> triple isotope systematics <strong>of</strong> a closed system inbiological production-uptake steady state. Such a systemcan also be used as a model for <strong>the</strong> Earth atmosphere <strong>and</strong>biosphere without <strong>the</strong> effects <strong>of</strong> stratospheric photochemistry<strong>and</strong> <strong>the</strong> hydrological cycle.[17] The starting point for such a system is oxygen that isproduced by photosyn<strong>the</strong>sis in photosystem 2 from water(noted as ‘‘W’’) without isotopic fractionation. Uptake byrespiration causes enrichment in <strong>the</strong> heavy isotopes. Since<strong>the</strong> fractionation in biological uptake is mass dependent, <strong>the</strong>enrichment in 17 O will be about half <strong>of</strong> <strong>the</strong> enrichment in18 O. In steady state, depending on <strong>the</strong> value <strong>of</strong> q, <strong>the</strong> systemwill reach ei<strong>the</strong>r <strong>the</strong> point that is marked as ‘‘BSS1’’(Biological Steady State 1) or ‘‘BSS2’’ in Figure 2. TheLn 18 O value <strong>of</strong> <strong>the</strong> O 2 in steady state relative to <strong>the</strong>substrate water is illustrated by <strong>the</strong> horizontal distancebetween ‘‘BSS1’’ (or ‘‘BSS2’’) <strong>and</strong> ‘‘W,’’ <strong>and</strong> is <strong>the</strong>system’s equivalent <strong>of</strong> <strong>the</strong> ‘‘Dole Effect.’’[18] A system in production-uptake steady state can beanalyzed graphically as in Figure 2, or, more rigorously, bya model that deals with <strong>the</strong> fluxes <strong>of</strong> <strong>the</strong> three isotopicspecies. Such a one-box model <strong>of</strong> production-uptake steadystate can be formulated as follows:y P ¼ y U;where y P is production rate <strong>of</strong> y O 16 O (y can be 16, 17 or18), <strong>and</strong> y U is uptake rate <strong>of</strong> y O 16 O.[19] Equation (7) can be rewritten as follows:ð7Þ16 P x R W ¼ 16 U x R BSS x a; ð8Þwhere x can be 17 or 18, <strong>the</strong> subscript ‘‘W’’ st<strong>and</strong>s foroxygen produced by photosyn<strong>the</strong>sis, <strong>and</strong> ‘‘BSS’’ st<strong>and</strong>s for<strong>the</strong> system air in biological steady state.


30 - 4 ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES[23] According to equation (1), <strong>the</strong> 17 D <strong>of</strong> <strong>the</strong> photosyn<strong>the</strong>ticallyproduced oxygen is17 R W17 R W17 D W ¼ ln C ln : ð11Þ17R17 ref R ref[24] Subtracting equation (11) from equation (10), <strong>and</strong>using equation (5) yields17 D 17 BSS D W ¼ ln18 a C q: ð12ÞFigure 2. Schematic plot (not to scale) <strong>of</strong> Ln 17 O versusLn 18 O for a closed system in production-uptake steadystate. Point ‘‘W’’ represents oxygen that is produced byphotosyn<strong>the</strong>sis in photosystem 2 from water, <strong>and</strong> ‘‘BSS1’’<strong>and</strong> ‘‘BSS2’’ represent biological steady states. The slope <strong>of</strong><strong>the</strong> line that connects ‘‘BSS1’’ <strong>and</strong> ‘‘W’’ is equal to q 1 <strong>and</strong><strong>the</strong> slope <strong>of</strong> <strong>the</strong> line connecting ‘‘BSS2’’ <strong>and</strong> ‘‘W’’ is equalto q 2 (q =ln( 17 a)/ln( 18 a)). When q <strong>of</strong> <strong>the</strong> system equals q 1<strong>the</strong> system reaches <strong>the</strong> steady state condition indicated by‘‘BSS1’’ with an 17 O excess <strong>of</strong> 17 D BSS1 . Since C equals toq 1 , 17 D BSS1 equals to <strong>the</strong> 17 D W . When q <strong>of</strong> <strong>the</strong> system equalsq 2 <strong>the</strong> system reaches steady state indicated by ‘‘BSS2’’with 17 O excess <strong>of</strong> 17 D BSS2 that is lower than 17 D BSS1 . Thehorizontal distance between ‘‘BSS’’ <strong>and</strong> ‘‘W’’ is <strong>the</strong>system’s equivalent <strong>of</strong> <strong>the</strong> global Dole Effect (in Ln 18 Oterms). The difference between 17 D BSS1 <strong>and</strong> 17 D BSS2 isgiven by <strong>the</strong> system’s ‘‘Dole Effect’’ times <strong>the</strong> differencebetween q 1 <strong>and</strong> q 2 .[20] Rearranging equation (8) <strong>and</strong> substituting it intoequation (4) givesl BSS ¼ ln ð17 aÞln 18 ¼ q: ð9Þð aÞ [21] Hence, <strong>the</strong> slope <strong>of</strong> <strong>the</strong> line connecting <strong>the</strong> O 2 <strong>of</strong> abiological system in production-uptake steady state, <strong>and</strong> <strong>the</strong>O 2 produced from <strong>the</strong> substrate water, is equal to <strong>the</strong> value<strong>of</strong> q. However, as we will show in section 2.3 below, <strong>the</strong>value <strong>of</strong> l is not always equal to <strong>the</strong> value <strong>of</strong> q.[22] The 17 D in production-uptake steady state can befound by substituting equations (7) <strong>and</strong> (8) into equation (1),[25] When q equals C, <strong>the</strong> 17 D value <strong>of</strong> <strong>the</strong> air in steadystate equals to that <strong>of</strong> <strong>the</strong> oxygen that is produced from <strong>the</strong>substrate water. However, if q is different from C, <strong>the</strong>n17 D BSS is controlled both by q <strong>and</strong> 18 a.[26] Currently, <strong>the</strong> value <strong>of</strong> 17 D W cannot be measureddirectly with sufficient accuracy. However, this value canbe estimated by conducting a terrarium experiment inwhich <strong>the</strong> q value <strong>of</strong> <strong>the</strong> uptake process is known (thisknown q will be noted as q 1 ). In such an experiment, <strong>the</strong>value <strong>of</strong> 17 D in steady state ( 17 D BSS1 ) will be identical tothat <strong>of</strong> 17 D W , if we choose C = q 1 . By conducting anadditional experiment in which <strong>the</strong> q value <strong>of</strong> <strong>the</strong> uptakeprocess is unknown (this unknown q will be noted as q 2 ),we can calculate <strong>the</strong> value <strong>of</strong> q 2 from <strong>the</strong> 17 O excess insteady state <strong>of</strong> this experiment ( 17 D BSS2 ), by rearrangingequation (12),ð17 D 17 BSS 2 D W Þq 2 ¼ q 1ln 18 : ð13Þð aÞ[27] The value <strong>of</strong> ln( 18 a) for <strong>the</strong> system can be found byrearranging equation (8),ln 18 a ¼ ln 18 R BSS = 18 R W : ð14Þ[28] The right-h<strong>and</strong> side <strong>of</strong> equation (14) is <strong>the</strong> Ln 18 Ovalue <strong>of</strong> ‘‘BSS’’ versus ‘‘W,’’ which is equivalent to <strong>the</strong>terrarium Dole Effect in Ln 18 O terms (<strong>the</strong> value <strong>of</strong> <strong>the</strong> DoleEffect in d 18 O terms is greater by 0.3% if SMOW is <strong>the</strong>reference <strong>and</strong> lower by 0.3% if atmospheric O 2 is <strong>the</strong>reference). Hence, <strong>the</strong> calculation <strong>of</strong> q 2 from equation (13)is identical to <strong>the</strong> solution presented graphically in Figure 2.[29] To estimate q values by <strong>the</strong> method describe above,<strong>the</strong> q value <strong>of</strong> at least one process (q 1 ) must be knownindependently. This value can be found by conductingexperiments in systems in which <strong>the</strong>re is O 2 uptake butno production.2.3. O 2 Removal Only[30] In our dark respiration <strong>and</strong> binary diffusion experiments,O 2 is only removed from <strong>the</strong> system. The change inisotopic composition in such experiments follows <strong>the</strong>Raleigh distillation equation,1717 R W = 17 a18 R W = 18 aD BSS ¼ ln C ln : ð10Þ17R18 ref R refx e ¼ ln x R= x R 0; ð15Þln f


ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES 30 - 5where x R 0 is <strong>the</strong> initial isotope ratio x O 16 O/ 16 O 2 <strong>and</strong> f is <strong>the</strong>remaining 16 O 2 fraction. Substituting equation (15) intoequation (4) yieldsl R ¼17 e¼ g; ð16Þ18ewhere <strong>the</strong> subscript R st<strong>and</strong>s for Raleigh distillation.Equation (16) shows that in a system where <strong>the</strong>re is onlyuptake <strong>of</strong> oxygen, <strong>the</strong> value <strong>of</strong> l is different from <strong>the</strong>value <strong>of</strong> q. The value <strong>of</strong> q in ‘‘removal only’’ experimentscan be calculated by substituting equation (16) intoequation (5),q ¼ ln ð 1 þ l R 18 eÞlnð1 þ 18 eÞ : ð17Þ[31] The range <strong>of</strong> 18 e in biological uptake is 15 to32% <strong>and</strong> <strong>the</strong> value <strong>of</strong> q in mass-dependent fractionationis about 0.5. Hence, l R will be larger by 0.002–0.004 than qin most systems. For O 2 samples close in composition to <strong>the</strong>st<strong>and</strong>ard O 2 , using slightly different C values will notsignificantly affect <strong>the</strong> calculated 17 D. However, for <strong>the</strong>purpose <strong>of</strong> <strong>the</strong> present study where comparisons betweensteady state O 2 <strong>and</strong> its substrate water are necessary, a smalldifference in parameter C becomes significant. To illustrate<strong>the</strong> importance this point, consider a water sample havingLn 18 O= 23% <strong>and</strong> Ln 17 O= 11.7% with respect to airO 2 . Using equation (1) <strong>and</strong> C = 0.52, 17 D <strong>of</strong> this sample iscalculated as 260 per meg. Similar calculation with C =0.524 yields 17 D <strong>of</strong> 352 per meg.3. Experimental Methods3.1. Dark Respiration Experiments[32] Axenic cultures <strong>of</strong> Lemna gibba, a small waterplant, were grown in a nutrient solution. Illumination frommixed fluorescent/inc<strong>and</strong>escent lamps was at an intensity<strong>of</strong> 200 ± 20 mE m 2 s 1 photosyn<strong>the</strong>tic photon flux (PPF),at <strong>the</strong> level <strong>of</strong> <strong>the</strong> fronds, for 12 h d 1 . Air temperaturewas 24°C <strong>and</strong> 19 ± 0.5°C in <strong>the</strong> light <strong>and</strong> dark periods,respectively.[33] The seeds <strong>of</strong> Orobanche aegyptica, an obligatoryroot parasite, were placed in empty tea bags <strong>and</strong> suspendedfor sterilization in 1% solution <strong>of</strong> NaOCl for 5 min. Theseeds were <strong>the</strong>n rinsed thoroughly for 20 min in steriledistilled H 2 O. After <strong>the</strong> rinse, <strong>the</strong> seeds were activated by 3days imbibition in 5 ml <strong>of</strong> H 2 O in 9-cm-diameter Petridishes with one layer <strong>of</strong> Whatman paper, to which a mixture<strong>of</strong> antibiotics was added. The mixture contained 50 mg each<strong>of</strong> streptomycin <strong>and</strong> penicillin G <strong>and</strong> 25 mg <strong>of</strong> chloramphenicol,in order to prevent <strong>the</strong> development <strong>of</strong> bacterialinfections during <strong>the</strong> imbibition period.[34] To determine <strong>the</strong> q value associated with <strong>the</strong> COX,we inhibited <strong>the</strong> AOX in <strong>the</strong> plant samples with 2 mMSalicylhydroxamic acid (SHAM). To determine <strong>the</strong> valueassociated with <strong>the</strong> AOX, we inhibited <strong>the</strong> COX with 1mM NaCN. The inhibitors were added to a closedaerated chamber containing <strong>the</strong> plant samples <strong>and</strong> waterfor at least 90 min before measurements were made.Additional control experiments without inhibitors wereconducted with Lemna <strong>and</strong> natural soil (<strong>the</strong> resulting qvalue was expected to lie between that <strong>of</strong> <strong>the</strong> AOX <strong>and</strong><strong>the</strong> COX).[35] For <strong>the</strong> incubation, about 1 g <strong>of</strong> plant sample wasinserted into 6 cm 3 blood collection tubes (Vacutainers 1 )that were closed with rubber septa. The tubes wereimmersed in water during incubation in order to preventair leaks. After an incubation period <strong>of</strong> 1 to 10 hours, <strong>the</strong> airin <strong>the</strong> tubes was sampled, via a needle, directly to <strong>the</strong>vacuum preparation line. In o<strong>the</strong>r experiments, plant sampleswere incubated in water <strong>and</strong> <strong>the</strong> changes in <strong>the</strong>dissolved oxygen were monitored. At <strong>the</strong> end <strong>of</strong> <strong>the</strong>seexperiments, 120 cm 3 water were sampled in 250 cm 3pre-evacuated flasks closed with a Lowers Happert 1 valve.Sampling <strong>and</strong> extraction <strong>of</strong> <strong>the</strong> dissolved gases were doneaccording to Luz et al. [2002].3.2. Terrarium Experiments[36] We used an airtight terrarium as described by Luz etal. [1999]. The terrarium contained Philodendron plants,soil <strong>and</strong> natural water from Lake Kinneret, Israel (d 18 O=0.5% versus SMOW). It was illuminated by a fluorescentlamp (100 mE m 2 s 1 ) for 24 h d 1 ,10hd 1 ,4hd 1<strong>and</strong> 2 h d 1 in different stages <strong>of</strong> <strong>the</strong> experiment. Differentlight conditions were used to manipulate <strong>the</strong> CO 2concentration in <strong>the</strong> terrarium, which, in turn, affects <strong>the</strong>relative rate <strong>of</strong> <strong>photorespiration</strong> [Badger, 1985]. Theterrarium was also covered <strong>and</strong> darkened for dark incubations.The CO 2 concentration in <strong>the</strong> terrarium air wasdetermined by sampling 6 cm 3 air in pre-evacuated bloodcollection tubes (Vacutainers 1 ), <strong>and</strong> measuring <strong>the</strong> airsample with an infrared gas analyzer (LI-COR-6252 1 )by a method similar to Davidson <strong>and</strong> Trumbore [1995].The relative accuracy for CO 2 concentration measurementwas ±5%.3.3. O 2 -N 2 Diffusion Experiments[37] In <strong>the</strong> diffusion <strong>of</strong> O 2 in N 2 experiments, a 4-cm 3flask was filled with pure oxygen. The neck <strong>of</strong> <strong>the</strong> flask wasfilled with a diffusive medium (plastic sponge) that preventedadvective mixing, <strong>and</strong> <strong>the</strong> oxygen that diffused out<strong>of</strong> <strong>the</strong> tube was immediately removed by a flow <strong>of</strong> N 2 . After1–2 hours, <strong>the</strong> O 2 concentration in <strong>the</strong> flasks was considerablylowered <strong>and</strong> <strong>the</strong> flasks were closed <strong>and</strong> transferredfor isotopic analysis.3.4. Sample Preparation <strong>and</strong> Mass Spectrometry[38] Sampling, sample preparation, <strong>and</strong> mass spectrometrywere according to Angert <strong>and</strong> Luz [2001], Luz et al.[2002], <strong>and</strong> Luz <strong>and</strong> Barkan [2000]. The preparation <strong>of</strong> <strong>the</strong>sample included cryogenic removal <strong>of</strong> water vapor <strong>and</strong> CO 2,<strong>and</strong> chromatographic separation <strong>of</strong> N 2 , which is needed foraccurate 17 D measurements. The samples were frozen at4°K into stainless steel tubes <strong>and</strong> transferred for analysisin a Finnigan Delta-Plus mass-spectrometer. Correctionswere applied in order to account for <strong>the</strong> sensitivity <strong>of</strong>ionization efficiencies <strong>of</strong> <strong>the</strong> three isotopic species tovariations in <strong>the</strong> O 2 /Ar ratio. The analytical error (absolutedifference from <strong>the</strong> average) for d 18 O, dO 2 /Ar, <strong>and</strong> D 17 Owas 0.02%, 0.5% <strong>and</strong> 5 per meg, respectively. All values


30 - 6 ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPESThere was no significant difference between <strong>the</strong> l R valuesin <strong>the</strong> incubations <strong>of</strong> Lemna gibba <strong>and</strong> Orobanche aegyptica,nor between different experiments with <strong>the</strong> sameplants. The l R value determined for incubation withoutinhibitors <strong>of</strong> Lemna was 0.517 ± 0.001, <strong>and</strong> a value <strong>of</strong> 0.517± 0.002 was found for <strong>the</strong> natural soil. In <strong>the</strong> two diffusionexperiments we found l R value <strong>of</strong> 0.5228 ± 0.0002, with nosignificant difference between <strong>the</strong> experiments.[40] The 17 D, dO 2 /Ar, Ln 18 O <strong>and</strong> [CO 2 ] <strong>of</strong> <strong>the</strong> terrariumair in <strong>the</strong> course <strong>of</strong> <strong>the</strong> experiment are presented in Table 2<strong>and</strong> shown in Figure 4. In days 1–58, in which <strong>the</strong>re was a24-hour illumination per day, <strong>the</strong> CO 2 concentrations in <strong>the</strong>terrarium were about 150 ppm. In days 127–178, when <strong>the</strong>illumination was <strong>of</strong> 10 h d 1 ,CO 2 concentration decreasedfrom 4500 ppm in <strong>the</strong> beginning <strong>of</strong> <strong>the</strong> light period to 150ppm, after about 3 hours. In days 184–235 <strong>and</strong> 330–365, inwhich <strong>the</strong>re were 2–4 hours illumination, <strong>the</strong> CO 2 concentrationwere 10,000–40,000 ppm, <strong>and</strong> in days 249–252, inwhich <strong>the</strong>re were 4 hours <strong>of</strong> illumination, CO 2 decreased toabout 150 ppm after 2–3 hours <strong>of</strong> illumination. The isotopicdiscrimination ( 18 e) that was calculated from <strong>the</strong> darkperiods (days 183–184 <strong>and</strong> 283–285) is 16.7%.Figure 3. Relative changes in <strong>the</strong> triple isotopic composition<strong>of</strong> O 2 (plotted as Ln 17 O versus Ln 18 O in per mils) asresult <strong>of</strong> (a) uptake through <strong>the</strong> COX, (b) uptake through <strong>the</strong>AOX, <strong>and</strong> (c) removal by diffusion into N 2 . The slope <strong>of</strong> <strong>the</strong>fitted regression line is l, <strong>and</strong> <strong>the</strong> reported precisionaccuracy is st<strong>and</strong>ard error. The values <strong>of</strong> q are calculatedaccording to equation (17).are reported with respect to <strong>the</strong> atmospheric O 2 (HLAst<strong>and</strong>ard).4. Results[39] The results <strong>of</strong> <strong>the</strong> dark incubation <strong>and</strong> <strong>the</strong> diffusion<strong>of</strong> O 2 in N 2 experiments, are illustrated in Figure 3, <strong>and</strong>summarized in Table 1. The isotopic discrimination ( 18 e)was calculated by equation (15) from <strong>the</strong> results <strong>of</strong> <strong>the</strong> darkincubation experiments. As expected, higher fractionationfor each plant species was measured when <strong>the</strong> plants wereinhibited with NaCN, <strong>and</strong> lower fractionation when <strong>the</strong>plants were inhibited with SHAM. Considerably loweruptake rates were measured when <strong>the</strong> plant was inhibitedwith NaCN (data not shown). The value <strong>of</strong> l R in <strong>the</strong>seexperiments was determined from <strong>the</strong> Ln 17 O versus Ln 18 Oaccording to equation (4). The l R values that were found are0.518 ± 0.001 for <strong>the</strong> COX, 0.5179 ± 0.0003 for <strong>the</strong> AOX.5. Discussion5.1. Dark Incubation Experiments <strong>and</strong> Diffusion inLiquid Phase[41] The value <strong>of</strong> q was calculated from <strong>the</strong> measured l Rvalues by equation (17). The fractionations ( 17 e <strong>and</strong> 18 e)arestrongly controlled by <strong>the</strong> effects <strong>of</strong> slow diffusion to <strong>the</strong>consumption site [Angert <strong>and</strong> Luz, 2001; Guy et al., 1989].However, <strong>the</strong> value <strong>of</strong> l R in our experiments can be shownto be independent <strong>of</strong> such effects. The overall fractionation<strong>of</strong> a system in which <strong>the</strong> oxygen supply is limited bydiffusion is given byx e ¼ x e diff þ ð x e x con e diff ÞC i =C a ; ð18Þtaken from Farquhar et al. [1982], where x e is <strong>the</strong> overallfractionation, x e con is <strong>the</strong> fractionation in consumption, x e diffTable 1. Summary <strong>of</strong> Dark Incubation Experiments <strong>and</strong> DiffusionExperiments a Inhibitor n l SE e SEOrobanche aegyptica SHAM 3 0.517 0.003 14.5 0.9Orobanche aegyptica SHAM 4 0.520 0.006 14.2 0.7Lemna gibba SHAM 7 0.518 0.003 20.7 0.1Lemna gibba SHAM 7 0.518 0.002 19.6 0.2Lemna (in water) SHAM 8 0.518 0.001 14.1 0.4COX 29 0.518 0.001Orobanche aegyptica NaCN 4 0.516 0.002 18.5 0.9Orobanche aegyptica NaCN 5 0.517 0.002 21.5 1.4Lemna gibba NaCN 6 0.5181 0.0003 27.9 0.1Lemna gibba NaCN 6 0.518 0.001 27.1 0.2AOX 21 0.5179 0.0003Lemna gibba - 4 0.517 0.001 20.1 0.3Soil - 4 0.517 0.002 16.6 0.3Diffusion in N 2 - 6 0.5226 0.0004 14.9 0.1Diffusion in N 2 - 6 0.5231 0.0003 - -Diffusion in N 2 12 0.5228 0.0002a Abbreviations: n, number <strong>of</strong> data points; SE, st<strong>and</strong>ard error.


ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES 30 - 7Table 2. Summary <strong>of</strong> <strong>the</strong> Terrarium ExperimentDayDO 2 /ArVersus Atm, aD 18 Oversus Atm, aLn 18 Oversus Water b17 Dversus Atm, aLight, CO 2 ,hd 1 ppmCO 2 ,


30 - 8 ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPESwill be an intermediate value between <strong>the</strong> q <strong>of</strong> COX <strong>and</strong> that<strong>of</strong> diffusion. Such a situation occurs in soils in general (<strong>and</strong>also <strong>the</strong> soil in our terrarium experiments), in whichfractionation <strong>of</strong> entering O 2 by diffusion in air has beenshown to have strong effects [Angert et al., 2001]. Since soilrespiration is an important component <strong>of</strong> <strong>the</strong> oxygen cycle,such an effect should be considered in any attempt toestimate <strong>the</strong> terrarium or global q.[46] The effective fractionation <strong>of</strong> a system in which <strong>the</strong>oxygen supply is limited by diffusion is given by equation(18). We can estimate <strong>the</strong> effective q for different C i /C aratios by calculating <strong>the</strong> 17 e <strong>and</strong> 18 e using this equation.Oxygen concentration in soils vary widely with soil depth,soil type, soil moisture, <strong>and</strong> rate <strong>of</strong> respiration in <strong>the</strong> soil.However, most <strong>of</strong> <strong>the</strong> soil respiration takes place at <strong>the</strong> top<strong>of</strong> <strong>the</strong> soil pr<strong>of</strong>ile. Hence, it will be justified to assume that<strong>the</strong> C i /C a ratio for weighted average soil respiration is notsmaller than 0.9. This value corresponds to about 20,000ppm <strong>of</strong> CO 2 , which is in <strong>the</strong> upper range <strong>of</strong> <strong>the</strong> concentrationsin soils. Even for this high value, <strong>the</strong> effective q is0.5164, only 0.0004 larger than that <strong>of</strong> COX <strong>and</strong> within <strong>the</strong>margin <strong>of</strong> error <strong>of</strong> its assessment. This effect might becompensated if some <strong>of</strong> <strong>the</strong> consumption in soil respirationis through <strong>the</strong> AOX, in which q is lower than in <strong>the</strong> COX.Thus, <strong>the</strong> effect <strong>of</strong> diffusion on <strong>the</strong> effective q in soils isvery small. Confirmation for that comes from <strong>the</strong> l value(0.517 ± 0.001) that was measured in natural soil, in whichdiffusion limitation was indicated by relatively weak fractionation( 18 e = 16%). In summary, effects <strong>of</strong> diffusion inair through soil pr<strong>of</strong>iles can be neglected in <strong>the</strong> discussion<strong>of</strong> <strong>the</strong> global triple isotope balance as well as <strong>the</strong> isotopicbalance in <strong>the</strong> terrarium. Additional diffusion limitations insoils occur in liquid phase, but, as shown in <strong>the</strong> previoussection, <strong>the</strong> effect on <strong>the</strong> triple isotopic composition isnegligible.Figure 4. Summary <strong>of</strong> <strong>the</strong> terrarium experiment results.Shown in <strong>the</strong> markers are <strong>the</strong> variations in (a) 17 D versus <strong>the</strong>atmosphere in per megs (with C = 0.516), (b) Ln 18 O in permils versus <strong>the</strong> terrarium water, <strong>and</strong> (c) dO 2 /Ar in per milsversus <strong>the</strong> atmosphere. The solid line shows <strong>the</strong> hours perday in which <strong>photorespiration</strong> was engaged due to low CO 2concentration (5000 ppm) throughout <strong>the</strong> day <strong>and</strong> <strong>the</strong> average17 D was 215 ± 14 per meg. In <strong>the</strong> second interval (‘‘Low’’),


ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES 30 - 9<strong>the</strong> terrarium was illuminated for 24 h d 1 ,CO 2 concentrationwas low (150 ppm), <strong>and</strong> <strong>the</strong> average 17 D was 93 ±6 per meg. In <strong>the</strong> third interval (‘‘Variable’’), <strong>the</strong> terrariumwas illuminated for 10 h d 1 <strong>and</strong> <strong>the</strong> CO 2 concentrationchanged with <strong>the</strong> illumination. The plant was exposed toCO 2 levels below 500 ppm, while illuminated, for about 7hours per day. The average 17 D in this interval was 145 ± 6per meg. Similar dependence <strong>of</strong> <strong>the</strong> D 17 O values inillumination can be seen in <strong>the</strong> terrarium experiments <strong>of</strong>Luz et al. [1999]. Although <strong>the</strong>re is no CO 2 concentrationdata for <strong>the</strong>se experiments, <strong>the</strong> relationship between illumination<strong>and</strong> CO 2 were probably similar to <strong>the</strong> relationships in<strong>the</strong> current experiment.[49] The different D 17 O values in steady state indicatechanges in <strong>the</strong> average q <strong>of</strong> <strong>the</strong> terrarium (Figure 2).These changes indicate variations in <strong>the</strong> relative rates <strong>of</strong>different processes in <strong>the</strong> terrarium, each with its characteristicq. The difference between <strong>the</strong> q <strong>of</strong> COX <strong>and</strong> AOXwe report here is only 0.002. Thus, even if <strong>the</strong> entireuptake in <strong>the</strong> terrarium was shifted from COX to AOX,which is not very likely, it will only cause a lowering <strong>of</strong>17 D <strong>of</strong> about 50 per meg (according to equation (12)).Therefore, <strong>the</strong> change <strong>of</strong> 122 per meg in 17 D betweenintervals ‘‘High’’ <strong>and</strong> ‘‘Low’’ cannot be explained bychanges in <strong>the</strong> ratio between COX <strong>and</strong> AOX. It can beexplained by an increase in <strong>the</strong> importance <strong>of</strong> a process(or processes) in which q is considerably smaller than indark respiration. Because lowering <strong>of</strong> q occurs when CO 2concentration is low, <strong>photorespiration</strong> is a likely mechanism.Ano<strong>the</strong>r process that might be activated in <strong>the</strong> lightis <strong>the</strong> Mehler reaction. Whe<strong>the</strong>r or not this is an importantmechanism is debatable, but preliminary experiments inour laboratory indicate that <strong>the</strong> q value in Mehler reactionis relatively high (Y. Helman, unpublished results, 2002),<strong>and</strong> hence this reaction could not be responsible for <strong>the</strong>lowering <strong>of</strong> <strong>the</strong> terrarium q in <strong>the</strong> light. In addition, in arecent review, Badger et al. [2000] argue that O 2 uptakeby Mehler reaction is <strong>of</strong> small importance in higherplants.[50] When CO 2 concentration in <strong>the</strong> terrarium was highthroughout <strong>the</strong> day (interval ‘‘High’’), <strong>photorespiration</strong> wasinhibited <strong>and</strong> <strong>the</strong> average q was controlled by COX <strong>and</strong>AOX alone. Since <strong>the</strong> q values <strong>of</strong> COX <strong>and</strong> AOX are close(0.516 <strong>and</strong> 0.514, respectively), <strong>and</strong> usually most <strong>of</strong> <strong>the</strong>respiration takes place through <strong>the</strong> COX, we assume that <strong>the</strong>average q in interval ‘‘High’’ (‘‘q 1 ’’) was 0.516. Since q 1 isequal to C, <strong>the</strong> 17 D W <strong>of</strong> <strong>the</strong> terrarium water is equal to17 D BSS in interval ‘‘High’’ (see equation (12)), 215 per megon average. In interval ‘‘Variable,’’ <strong>the</strong> CO 2 concentrationwas low enough to allow <strong>photorespiration</strong> in part <strong>of</strong> <strong>the</strong> day<strong>and</strong> D 17 O dropped from 215 to 145 per meg, <strong>and</strong> it wentdown even fur<strong>the</strong>r to 93 per meg, in interval ‘‘Low,’’ whenlow CO 2 concentration <strong>and</strong> illumination were present for 24hours per day (Figure 5).[51] By using <strong>the</strong> value <strong>of</strong> 215 for 17 D W <strong>and</strong> 18 e <strong>of</strong> 24%(see section 5.5) in equation (13), we calculated an averageq for interval ‘‘Low’’ (‘‘q 2 ’’) <strong>of</strong> 0.511. This value <strong>of</strong> q 2represents a weighted average for both dark respiration <strong>and</strong><strong>photorespiration</strong>. This clearly indicates that <strong>the</strong> q value <strong>of</strong><strong>photorespiration</strong> must be significantly less than 0.516. AFigure 5. Analysis <strong>of</strong> <strong>the</strong> terrarium experiments (not toscale). In interval ‘‘High,’’ <strong>photorespiration</strong> was inhibited asa result <strong>of</strong> high CO 2 concentrations <strong>and</strong> <strong>the</strong> relationshipbetween <strong>the</strong> fractionations was controlled by dark respiration(q 1 = 0.516). In Interval ‘‘Low,’’ both dark respiration<strong>and</strong> <strong>photorespiration</strong> (PR) were engaged (q 2 = 0.511). Toaccount for such an effect, <strong>the</strong> q <strong>of</strong> <strong>photorespiration</strong> must belower than 0.511, <strong>and</strong> it can be calculated from <strong>the</strong> relativerates <strong>of</strong> dark respiration <strong>and</strong> <strong>photorespiration</strong> as 0.506.quantitative estimate <strong>of</strong> <strong>the</strong> q value for <strong>photorespiration</strong> willbe derived in section 5.6.5.4. Deviations From Steady State[52] While <strong>the</strong> 17 D <strong>of</strong> <strong>the</strong> terrarium air was in steady statein intervals ‘‘Low,’’ ‘‘Variable’’ <strong>and</strong> ‘‘High,’’ <strong>the</strong> dO 2 /Arvalues were constant only through interval ‘‘Low.’’ Inintervals ‘‘Variable’’ <strong>and</strong> ‘‘High,’’ <strong>the</strong> O 2 concentrationincreased with time, indicating a net production in <strong>the</strong>terrarium. To study <strong>the</strong> effect <strong>of</strong> this net production on <strong>the</strong>17 D, we used a simple numerical model. This model dealswith <strong>the</strong> fluxes <strong>of</strong> production <strong>and</strong> uptake <strong>of</strong> <strong>the</strong> differentisotopic species without <strong>the</strong> steady state assumption. Thetemporal concentration <strong>of</strong> isotopic species is given byequation (19) where Dt st<strong>and</strong>s for time interval.x O 16 Ot þDt ¼ x O 16 Ot þ Dt 16 P x R W16 U x R t x a : ð19Þ[53] As expected, running <strong>the</strong> model with 16 U =16 P <strong>and</strong> q =C gave identical result to <strong>the</strong> analytical model (equation(12)); hence, when <strong>the</strong> value <strong>of</strong> 17 D reached a plateau(equivalent to 17 D BSS in <strong>the</strong> analytical model), it was equalto that <strong>of</strong> 17 D W . However, running <strong>the</strong> model with production( 16 P) that is higher <strong>the</strong>n uptake ( 16 U) resulted in 17 Dvalues in a plateau slightly higher <strong>the</strong>n 17 D W . For example,running <strong>the</strong> model with 16 U/ 16 P ratio <strong>of</strong> 0.5 <strong>and</strong> 17 D W <strong>of</strong>211 per meg resulted in 17 D in a plateau <strong>of</strong> 221 per meg. Toestimate uptake in interval ‘‘High,’’ we assumed that it wasidentical to <strong>the</strong> uptake rate in <strong>the</strong> dark periods (<strong>the</strong> oxygendepletion rate). This assumption is probably true since <strong>the</strong>high CO 2 levels in interval ‘‘High’’ inhibited <strong>photorespiration</strong>.From this uptake rate <strong>and</strong> <strong>the</strong> observed net production(rate <strong>of</strong> increase in O 2 concentration), we found <strong>the</strong> ratio <strong>of</strong>uptake to production was 0.9 for interval ‘‘High.’’ Using


30 - 10 ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPESthis value in <strong>the</strong> numerical model, we found that thisdeviation from steady state will cause an increase <strong>of</strong> 4per meg in <strong>the</strong> value <strong>of</strong> 17 D, when it reached a plateau.Thus, 17 D W is 211 per meg instead <strong>of</strong> <strong>the</strong> 215 per megcalculated based on <strong>the</strong> steady state assumption. Thiscorrection for 17 D W is small with respect to o<strong>the</strong>r uncertainties<strong>and</strong> does not significantly change <strong>the</strong> value calculatedfor q 2 (0.511).[54] Ano<strong>the</strong>r nonsteady state effect results from <strong>the</strong> diurnalillumination cycle in <strong>the</strong> terrarium. Photosyn<strong>the</strong>sis tookplace in <strong>the</strong> few hours <strong>of</strong> illumination, while <strong>the</strong> uptakethrough dark respiration continued all day, <strong>and</strong> as a result<strong>the</strong> O 2 concentration fluctuated. By modeling this conditionin <strong>the</strong> numerical model, we found that it will cause <strong>the</strong> 17 Dvalue to fluctuate around <strong>the</strong> value 17 D BSS . The amplitude<strong>of</strong> <strong>the</strong> fluctuations in 17 D depends on <strong>the</strong> amplitude <strong>of</strong> <strong>the</strong>fluctuations in O 2 concentration. For interval ‘‘High,’’ wecan calculate from <strong>the</strong> dark periods that dark respirationconsumed about 9% <strong>of</strong> <strong>the</strong> O 2 reservoir <strong>of</strong> <strong>the</strong> terrarium perday. Using this value <strong>and</strong> <strong>the</strong> value <strong>of</strong> 0.9 for uptake toproduction ratio, <strong>the</strong> calculated magnitude <strong>of</strong> <strong>the</strong> 17 Dfluctuations resulting from <strong>the</strong> light-dark cycle is ±2 permeg. Again, this value is considerably smaller than <strong>the</strong>analytical uncertainty, <strong>and</strong> <strong>the</strong>refore this effect can be alsoneglected.5.5. Dependence <strong>of</strong> 18 E on Illumination <strong>and</strong> [CO 2 ]:Implication for <strong>the</strong> Dole Effect[55] The weighted-average 18 e <strong>of</strong> all <strong>the</strong> processes in <strong>the</strong>terrarium can be estimated from <strong>the</strong> terrarium equivalent <strong>of</strong><strong>the</strong> global Dole Effect (equation (14)), which is <strong>the</strong> value <strong>of</strong>Ln 18 O <strong>of</strong> ‘‘BSS’’ versus ‘‘W.’’ The Ln 18 O values <strong>of</strong> <strong>the</strong>terrarium air versus <strong>the</strong> value <strong>of</strong> <strong>the</strong> substrate water arepresented in Figure 4b. In <strong>the</strong> three intervals in which <strong>the</strong>17 D <strong>of</strong> <strong>the</strong> terrarium was constant, <strong>the</strong> Ln 18 O was almostconstant.[56] In interval ‘‘High,’’ <strong>the</strong> fractionation (e) in <strong>the</strong>terrarium according to equation (14) is 18.4 ± 1.8%, ininterval ‘‘Low’’ 23.9 ± 0.5%, <strong>and</strong> in interval ‘‘Variable’’21.7 ± 0.2%. The fractionation in interval ‘‘High’’ is inagreement with <strong>the</strong> known fractionation for <strong>the</strong> COX,18% [Guy et al., 1989], <strong>and</strong> with <strong>the</strong> fractionation thatwas calculated for <strong>the</strong> dark periods 16.7%. This agreementindicates that, as was assumed in section 5.3., <strong>the</strong>uptake in <strong>the</strong> terrarium was dominated by COX in interval‘‘High’’ in which <strong>the</strong> CO 2 concentration was high.[57] The fractionation by COX is 18%, in <strong>photorespiration</strong>it is 21.7%, <strong>and</strong> that <strong>of</strong> AOX is about30% [Ribas-Carbo et al., 2000]. Thus, <strong>photorespiration</strong><strong>and</strong> COX alone cannot explain <strong>the</strong> high Ln 18 O valuesmeasured in interval ‘‘Low’’ <strong>and</strong> interval ‘‘Variable.’’These high values seem to indicate that a considerableportion <strong>of</strong> <strong>the</strong> uptake was through <strong>the</strong> AOX. Since ininterval ‘‘Variable’’ <strong>the</strong>re was net production that introducedoxygen with light isotopic composition, <strong>the</strong> fractionationmust have been even stronger than that calculatedabove for <strong>the</strong> same interval according to <strong>the</strong> steady stateassumption ( 21.7%). The fractionation in interval‘‘Low’’ was extremely strong. The relative rate <strong>of</strong> uptakethrough <strong>the</strong> AOX in this interval was estimated from <strong>the</strong>observed Ln 18 O values in section 5.6. as 41–31% <strong>of</strong>gross production.[58] Some enrichment <strong>of</strong> <strong>the</strong> terrarium leaf water byevapotranspiration might have contributed to <strong>the</strong> highLn 18 O. However, since <strong>the</strong> relative humidity in <strong>the</strong> terrariumwas 100% this effect was probably very small. In fact,no enrichment was found when we compared <strong>the</strong> d 18 O<strong>of</strong><strong>the</strong> terrarium free water <strong>and</strong> <strong>the</strong> terrarium leaf water (datanot shown). However, this result might originate frommeasuring total leaf water, which includes depleted veinwater. Even if we assume that <strong>the</strong> enrichment at <strong>the</strong> site <strong>of</strong>photosyn<strong>the</strong>sis was as high as 1%, our main conclusionswill remain <strong>the</strong> same. The relative rate <strong>of</strong> <strong>the</strong> AOX ininterval ‘‘Low’’ will be 19–29%, still a very high figure,<strong>and</strong> <strong>the</strong> correction to q P (see section 5.6) will be muchsmaller than <strong>the</strong> o<strong>the</strong>r uncertainties.[59] The strong measured fractionation indicates that <strong>the</strong>AOX was activated in <strong>the</strong> same conditions that favorhigh rate <strong>of</strong> <strong>photorespiration</strong>-illumination <strong>and</strong> low CO 2 .This finding is in agreement with <strong>the</strong> indication for highAOX rates in <strong>the</strong> light inferred from in situ measurementsin a lake [Luz et al., 2002]. The CO 2 concentrationin <strong>the</strong> terrarium were very low (150 ppm), much lowerthan in most natural environments. However, since <strong>the</strong>relative humidity in terrarium was 100% stomatal conductancemust have been high. Consequently, <strong>the</strong> internalCO 2 concentration in <strong>the</strong> leaves was similar to that <strong>of</strong>midday in many natural environments. Since strongfractionation occurred not only with <strong>the</strong> 24 h d 1 illuminationbut also with <strong>the</strong> 10 h d 1 illumination, which iscloser to <strong>the</strong> natural cycle, we conclude that <strong>the</strong> engagement<strong>of</strong> <strong>the</strong> AOX in <strong>the</strong> light is likely also in manynatural systems.[60] In previous models <strong>of</strong> <strong>the</strong> Dole Effect, <strong>the</strong> global rate<strong>of</strong> <strong>the</strong> AOX was assumed to be very low <strong>and</strong> was neglected[Bender et al., 1994; Malaize et al., 1999]. This low rate isbased on measurements <strong>of</strong> <strong>the</strong> AOX activity in <strong>the</strong> dark.However, if <strong>the</strong> AOX activation is enhanced in illuminatedleaves in natural systems, <strong>the</strong>n its global rate should beconsiderably higher. This higher rate may help to close <strong>the</strong>gap between <strong>the</strong> calculated value <strong>of</strong> <strong>the</strong> Dole Effect (20.8%[Bender et al., 1994]) <strong>and</strong> <strong>the</strong> measured one (23.5%[Kroopnick <strong>and</strong> Craig, 1972]), <strong>and</strong> compensate for <strong>the</strong>weak fractionation recently reported for soil respiration[Angert et al., 2001]. The connection between <strong>photorespiration</strong><strong>and</strong> AOX might also explain past changes in <strong>the</strong> DoleEffect. Increased rate <strong>of</strong> <strong>photorespiration</strong> will be coupledwith an increased rate <strong>of</strong> AOX. Drier <strong>and</strong> hotter climate isexpected to cause an increased rate <strong>of</strong> <strong>photorespiration</strong>, aswell as more evapotranspiration that will result in 18 Oenriched leaf water. Thus, such climate will cause anincreased Dole Effect by both heavier composition <strong>of</strong> leafwater <strong>and</strong> increased rate <strong>of</strong> <strong>photorespiration</strong> <strong>and</strong> <strong>the</strong> AOX,two processes that have high fractionation relative to that <strong>of</strong>COX.5.6. Estimating <strong>the</strong> Q <strong>of</strong> Photorespiration[61] The average q in <strong>the</strong> terrarium in interval ‘‘Low’’ was0.511. This value <strong>and</strong> <strong>the</strong> values found for <strong>the</strong> AOX <strong>and</strong>COX, can be used to estimate <strong>the</strong> q associated with photo-


ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES 30 - 11respiration by assuming production uptake steady state, <strong>and</strong>a simple weighted average equation,GP ¼ U P þ U COX þ U AOXð20Þ0:511 ¼ ðq P U P þ 0:516U COX þ 0:514U AOX Þ=GP; ð21Þwhere GP is gross production in <strong>the</strong> terrarium, U st<strong>and</strong>s foruptake, <strong>and</strong> <strong>the</strong> subscript P st<strong>and</strong>s for <strong>photorespiration</strong>. Inorder to solve equation (20) for q P <strong>the</strong> rates <strong>of</strong> <strong>the</strong> differentuptake <strong>pathway</strong>s in <strong>the</strong> terrarium relative to gross productionmust be estimated.[62] The gross oxygen production in <strong>the</strong> terrarium, atinterval ‘‘Low,’’ can be estimated from previous experimentsin <strong>the</strong> same terrarium [Luz et al., 1999]. In one <strong>of</strong><strong>the</strong>se experiments <strong>the</strong> d 18 O <strong>of</strong> <strong>the</strong> water was 6.6% (onSMOW scale). As a result, <strong>the</strong> d 18 O value in steady statewas very different from <strong>the</strong> initial atmospheric value. At <strong>the</strong>beginning <strong>of</strong> <strong>the</strong> experiment (days 1–37, illumination <strong>of</strong>24 h d 1 , as at interval ‘‘Low’’), changes in <strong>the</strong> d 18 O <strong>and</strong>dO 2 /Ar <strong>of</strong> <strong>the</strong> terrarium were observed, when it approachedsteady state. The changes in <strong>the</strong> d 18 O <strong>and</strong> dO 2 /Ar weremodeled by <strong>the</strong> numerical model described in section 5.4.The best fit to <strong>the</strong> observed data was reached with uptake togross production ratio <strong>of</strong> 0.99 <strong>and</strong> gross production rate(GP) that is 19.2% <strong>of</strong> <strong>the</strong> terrarium O 2 reservoir per day.[63] The uptake rate measured in <strong>the</strong> dark periods was45% <strong>of</strong> <strong>the</strong> GP estimated above, <strong>and</strong> was probably mostlythrough <strong>the</strong> COX. When <strong>the</strong> terrarium was illuminated,considerable portion <strong>of</strong> <strong>the</strong> total dark respiration must havebeen through <strong>the</strong> AOX (section 5.5.); hence, <strong>the</strong> rate <strong>of</strong>COX in interval ‘‘Low’’ was lower than 45% <strong>of</strong> GP. If weassume a COX <strong>of</strong> 10–30% <strong>of</strong> GP, <strong>the</strong> rate <strong>of</strong> <strong>photorespiration</strong>(U P ) can be calculated from <strong>the</strong> known fractionations <strong>of</strong><strong>the</strong> different <strong>pathway</strong>s <strong>and</strong> <strong>the</strong> terrarium-fractionation ( 18 e)we evaluated for interval ‘‘Low’’ ( 24%) by equation (20)<strong>and</strong> a weighted average equation similar to equation (21),24 ¼ ðe P U P þ e COX U COX þ e AOX U AOX Þ=GP:ð22Þ[64] Using fractionation values <strong>of</strong> 30% for AOX[Ribas-Carbo et al., 2000], 18% for COX [Guy et al.,1989], <strong>and</strong> 21.8% for <strong>photorespiration</strong> U P was calculatedas 29–59% <strong>of</strong> GP. The corresponding rate <strong>of</strong> AOX is 41–31% <strong>of</strong> GP. According to <strong>the</strong>se rates <strong>and</strong> <strong>the</strong> q values <strong>of</strong> <strong>the</strong>COX <strong>and</strong> <strong>the</strong> AOX, <strong>the</strong> q associated with <strong>photorespiration</strong> iscalculated as 0.506 ± 0.003. The error margin is based onlyon <strong>the</strong> uncertainty in <strong>the</strong> rate <strong>of</strong> <strong>the</strong> COX, <strong>and</strong> neglects <strong>the</strong>uncertainty in <strong>the</strong> fractionations <strong>of</strong> <strong>the</strong> different <strong>pathway</strong>s.The uncertainty in <strong>the</strong> fractionation in <strong>the</strong> COX <strong>and</strong> <strong>photorespiration</strong>is small [Guy et al., 1989, 1993]; however <strong>the</strong>uncertainty in <strong>the</strong> fractionation <strong>of</strong> <strong>the</strong> AOX is larger, about±2% for green tissue [Ribas-Carbo et al., 2000; Robinsonet al., 1992]. Including this uncertainty <strong>the</strong> q associated with<strong>photorespiration</strong> is 0.506 ± 0.005.[65] In <strong>photorespiration</strong>, O 2 is consumed by two enzymes,Rubisco <strong>and</strong> glycolate-oxidase. Hence, <strong>the</strong> q value <strong>of</strong> <strong>photorespiration</strong>represents <strong>the</strong> weighted average <strong>of</strong> <strong>the</strong> two consumptionprocesses. Fur<strong>the</strong>r study is necessary in order toderive <strong>the</strong> q values associated with each <strong>of</strong> <strong>the</strong> two enzymes.Figure 6. Analysis <strong>of</strong> triple isotopic composition (not toscale) <strong>of</strong> <strong>the</strong> Last Glacial Maximum (LGM). The point thatrepresents <strong>the</strong> LGM atmosphere (after correction for lowerrate <strong>of</strong> stratospheric photochemistry) lies 12 per meg lowerthan <strong>the</strong> present atmosphere. A change in <strong>the</strong> global averageq (q b ) will affect <strong>the</strong> triple isotopic composition <strong>of</strong> <strong>the</strong>atmosphere in a way that is similar to <strong>the</strong> way a change in qaffected <strong>the</strong> terrarium air (Figure 5). Hence, a change in q bwill cause a change in <strong>the</strong> atmospheric 17 D with amagnitude <strong>of</strong> <strong>the</strong> Ln 18 O difference between atmosphericO 2 <strong>and</strong> photosyn<strong>the</strong>tic oxygen times <strong>the</strong> difference in q b .Thus, a change <strong>of</strong> 0.001 in q b will result in a change <strong>of</strong>about 19 per meg in <strong>the</strong> atmospheric 17 D. The higher globalrates <strong>of</strong> <strong>photorespiration</strong> (PR) in <strong>the</strong> LGM (27% <strong>of</strong> globalproduction instead <strong>of</strong> 24% today) caused lowering <strong>of</strong> q b thatcan explain 5 per meg <strong>of</strong> <strong>the</strong> 12 per meg difference. The rest<strong>of</strong> this difference can be attributed to lower global grossproduction.[66] The q value <strong>of</strong> 0.506 ± 0.005 we report here for<strong>photorespiration</strong> is considerably lower than that <strong>of</strong> both darkrespiration <strong>pathway</strong>s. In <strong>the</strong> next section, we will use thisvalue to estimate <strong>the</strong> effect <strong>of</strong> <strong>photorespiration</strong> on <strong>the</strong> tripleisotopic composition <strong>of</strong> <strong>the</strong> atmosphere.5.7. Implication for <strong>the</strong> Triple Isotopic Composition <strong>of</strong>Atmospheric O 2[67] In order to estimate how a change in <strong>the</strong> globalaverage q <strong>of</strong> biological processes will affect <strong>the</strong> tripleisotopecomposition <strong>of</strong> <strong>the</strong> atmosphere, we can analyze itin a graphical approach presented in Figure 6, or with arigorous analytical model. In this model, <strong>the</strong> troposphere(which is well mixed relatively to <strong>the</strong> lifetime <strong>of</strong> oxygen init) is represented by one box, <strong>and</strong> O 2 is exchanged between<strong>the</strong> biosphere, <strong>the</strong> troposphere, <strong>and</strong> <strong>the</strong> stratosphere. Insteady state we can write <strong>the</strong> following equation:y Sy T þ y Py U ¼ 0;ð23Þwhere y S is <strong>the</strong> stratosphere to troposphere flux <strong>and</strong> y Trepresent <strong>the</strong> flux from <strong>the</strong> troposphere to <strong>the</strong> stratosphere


30 - 12 ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES<strong>of</strong> any isotopic species ( y O 16 O, y = 16,17,18). Flux y Prepresents global photosyn<strong>the</strong>tic production <strong>and</strong> y U isglobal uptake <strong>of</strong> any isotopic species. In <strong>the</strong> model, <strong>the</strong>transfer <strong>of</strong> O 2 to <strong>the</strong> stratosphere involves no fractionation<strong>and</strong> O 2 reentering <strong>the</strong> troposphere is fractionated by x a s (asin <strong>the</strong> work <strong>of</strong> Blunier et al. [2002]). The relationshipbetween 18 a s <strong>and</strong> 17 a s is given by q s . The parameter x a sdescribes <strong>the</strong> sum <strong>of</strong> stratospheric effects on O 2 isotopes,<strong>and</strong> does not represent any single physical process. Theglobal average isotopic ratio <strong>of</strong> oxygen produced fromwater by photosyn<strong>the</strong>sis will be noted as x R AW . The isotopiccomposition <strong>of</strong> leaf water (which is <strong>the</strong> substrate forphotosyn<strong>the</strong>sis on l<strong>and</strong>) is controlled by <strong>the</strong> hydrologicalcycle <strong>and</strong> evapotranspiration. However, since informationon <strong>the</strong> different q’s in <strong>the</strong> hydrological cycle is scarce[Meijer <strong>and</strong> Li, 1998; Miller, 2002] <strong>and</strong> since <strong>the</strong>re is noinformation about <strong>the</strong> q <strong>of</strong> evapotranspiration, we willassume an average isotopic ratio for all <strong>the</strong> oxygenproduced by photosyn<strong>the</strong>sis <strong>and</strong> will not deal directly withdifferences in <strong>the</strong> substrate water. This average isotopic ratiois assumed to be constant in time. The average globalfractionation in biological uptake is given by x a b <strong>and</strong> q b .Wealso assume 16 T = 16 S <strong>and</strong> 16 P = 16 U. Including <strong>the</strong>seformulations in equation (23) gives16 S x R T ð1Þþ 16 P x R 16 AW P x a b x R T ¼ 0; ð24Þx a swhere x can be 17 or 18, <strong>and</strong> <strong>the</strong> subscript ‘‘T’’ st<strong>and</strong>s fortropospheric oxygen.[68] According to equation (1), <strong>the</strong> 17 D <strong>of</strong> tropospheric O 2relative to oxygen produced by photosyn<strong>the</strong>sis is 17 D T AW ¼ ln 17 R T = 17 R AWC ln 18 R T = 18 R AW 10 6 :ð25Þ[69] The value <strong>of</strong> 17 D T-AW is always negative, sincetropospheric O 2 is depleted in 17 O. Equations (24) <strong>and</strong>(25) give17 D T AW ¼ ln16 P16P 17 a16 b S ð17 a s 1Þ16 PC ln16P 18 : ð26Þa16 b S ð18 a s 1Þ[70] The average global q associated <strong>the</strong> biological uptakewill be noted as q b . The difference in <strong>the</strong> tropospheric 17 Dresulting from a change <strong>of</strong> <strong>the</strong> global average q b from q b1 toq b2 is given by substituting equation (26) with equation (5),17 D T W ðq b1 Þ17 D T W ðq b2 Þ¼ln!16 P ð 18 a b Þ qb2 16 S ð17 a s 1Þ:16P ð18 a b Þ qb1 16 S ð17 a s 1Þð27Þ5.7.1. Implications for <strong>the</strong> 17 D in Ice Cores[71] The new q values reported here may change <strong>the</strong>interpretation <strong>of</strong> 17 D measured in ice cores. To demonstratethis, we will use <strong>the</strong> Last Glacial Maximum (LGM) as acase study. According to Blunier et al. [2002], <strong>the</strong> ratio <strong>of</strong><strong>photorespiration</strong> to terrestrial production was 43% in <strong>the</strong>LGM relative to 38% at <strong>the</strong> modern biosphere. This differenceis due to relatively low atmospheric CO 2 concentrationin <strong>the</strong> LGM (since <strong>the</strong> residence time <strong>of</strong> O 2 in <strong>the</strong> atmosphereis 1200 years, <strong>the</strong> preindustrial CO 2 levels are usedfor present), which was partially compensated by anincrease in <strong>the</strong> relative rate <strong>of</strong> photosyn<strong>the</strong>sis in C4 plants.We can apply equation (27) or Figure 6 to estimate <strong>the</strong>effect <strong>of</strong> this different <strong>photorespiration</strong> rate on <strong>the</strong> LGM’s17 D T-AW . By assuming that <strong>the</strong> ratio <strong>of</strong> terrestrial productionto marine production is 1.7 [Blunier et al., 2002] <strong>and</strong> that no<strong>photorespiration</strong> takes place in <strong>the</strong> oceans, we estimate that<strong>the</strong> ratio <strong>of</strong> <strong>photorespiration</strong> to global production is 24% atpresent <strong>and</strong> was 27% in <strong>the</strong> LGM. Using <strong>the</strong> q values fordark respiration <strong>and</strong> <strong>photorespiration</strong> we are reporting here,<strong>and</strong> assuming that 10% <strong>of</strong> dark respiration is through <strong>the</strong>AOX, we calculated that <strong>the</strong> q b in <strong>the</strong> LGM was lower byabout 0.00025 from <strong>the</strong> present value. Assuming <strong>the</strong> AW is40% seawater <strong>and</strong> 60% leaf water <strong>and</strong> using an averageLn 18 O value <strong>of</strong> 23% versus <strong>the</strong> atmosphere for <strong>the</strong> former<strong>and</strong> +6% versus SMOW for <strong>the</strong> later [Gillon <strong>and</strong> Yakir,2001], we calculated <strong>the</strong> average global fractionation ( 18 e b )as 19.4 (0.4 [ 23] + 0.6 [ 23 + 6] = 19.4). Inaddition, we used a 16 P/ 16 S ratio <strong>of</strong> 0.0097 [Luz et al.,1999].[72] Using equation (27), with <strong>the</strong> above parameters wecalculated that <strong>the</strong> effect <strong>of</strong> higher <strong>photorespiration</strong> rates in<strong>the</strong> LGM is expected to cause <strong>the</strong> 17 D <strong>of</strong> <strong>the</strong> LGM troposphereto be lower by 5 ± 2 per meg relative to <strong>the</strong> presenttroposphere (<strong>the</strong> ±2 per meg error margin is derived from<strong>the</strong> uncertainty in <strong>the</strong> q values). This result agrees with <strong>the</strong>simple graphical solution presented at Figure 6 (0.00025 19.4 = 5 per meg). This 5 per meg estimate is insensitive tomost <strong>of</strong> <strong>the</strong> assumptions in <strong>the</strong> calculation, except <strong>the</strong>assumption on <strong>the</strong> variations in <strong>the</strong> global rate <strong>of</strong> <strong>photorespiration</strong>.Hence, this calculation gives <strong>the</strong> order <strong>of</strong>magnitude <strong>of</strong> <strong>the</strong> variation in 17 D that are caused byvariations in global <strong>photorespiration</strong>. To estimate whe<strong>the</strong>ror not this 5 per meg signal is significant, it should becompared to <strong>the</strong> 17 D signal generated by changes in globalproductivity.[73] The D 17 O <strong>of</strong> <strong>the</strong> LGM troposphere relative to <strong>the</strong>present troposphere was measured in air from ice cores <strong>and</strong>was found to be +38 per meg [Blunier et al., 2002; Luz etal., 1999]. This corresponds to a 17 D value <strong>of</strong> +43 per meg(with C <strong>of</strong> 0.516). This value is affected by a lower rate <strong>of</strong>mass-independent stratospheric processes that resultedfrom lower CO 2 concentration in <strong>the</strong> LGM atmosphere.This lower rate resulted in 17 D <strong>of</strong> <strong>the</strong> LGM tropospherehigher by 55 per meg than <strong>the</strong> present value (under <strong>the</strong>assumptions <strong>of</strong> linear dependence <strong>of</strong> <strong>the</strong> stratosphericprocesses rate on CO 2 concentration <strong>and</strong> constant ozoneconcentration [Luz et al., 1999]. There is a 12 per megdifference between <strong>the</strong> +55 per meg expected from <strong>the</strong>lower rate <strong>of</strong> stratospheric processes <strong>and</strong> <strong>the</strong> +43 per megactually measured. This difference was considered inprevious papers [Blunier et al., 2002; Luz et al., 1999]to indicate lower global productivity in <strong>the</strong> LGM. However,as shown above, about half <strong>of</strong> this 12 per meg


ANGERT ET AL.: BIOLOGICAL EFFECTS ON THREE O 2 ISOTOPES 30 - 13change can be explained as <strong>the</strong> result <strong>of</strong> higher <strong>photorespiration</strong>rate in <strong>the</strong> LGM. In conclusion, small changesin <strong>the</strong> global rate <strong>of</strong> <strong>photorespiration</strong> can have an importantimpact on <strong>the</strong> atmospheric 17 D. Consequently, any interpretation<strong>of</strong> triple-isotope ice core data must take thisimpact into account.5.7.2. Global 17 D Budget in <strong>the</strong> Present Atmosphere[74] To gain some insight on <strong>the</strong> global 17 D budget, weestimate <strong>the</strong> parameters <strong>of</strong> equation (26) that represents <strong>the</strong>effects <strong>of</strong> <strong>the</strong> biosphere <strong>and</strong> <strong>the</strong> stratosphere on <strong>the</strong> tripleisotopic composition. The current value <strong>of</strong> q b was calculated,as in <strong>the</strong> previous section, from <strong>the</strong> derived q values<strong>and</strong> <strong>the</strong> estimated global relative rates <strong>of</strong> <strong>photorespiration</strong>(24%), COX (68%) <strong>and</strong> AOX (8%), as 0.513 ± 0.002 (0.24 0.506 + 0.68 0.516 + 0.08 0.514 = 0.513, <strong>the</strong> errormargin is derived from <strong>the</strong> uncertainty in <strong>the</strong> q values).According to Luz et al. [1999] <strong>the</strong> stratospheric massindependentprocesses result in lowering <strong>of</strong> <strong>the</strong> currentatmospheric D 17 O in 117 ± 13 per meg. In <strong>the</strong> terms <strong>of</strong>equation (26) (with 16 P/ 16 S ratio <strong>of</strong> 0.0097 [Luz et al., 1999]<strong>and</strong> q s = 1) this 117 ± 13 per meg lowering corresponds tox a s <strong>of</strong> 0.99999765 ± 0.0000001 assuming 17 D ffi D 17 O <strong>and</strong>18 e b that was calculated in section 5.7.1 as 19.4%. Using<strong>the</strong>se parameters, we calculated by equation (26) that 17 D T-AW (<strong>the</strong> troposphere versus AW) is 175 ± 50 per meg (<strong>the</strong>error margin is based on <strong>the</strong> error in q b <strong>and</strong> x a s ). Correspondingly,17 D AW (<strong>the</strong> average substrate water for photosyn<strong>the</strong>sisversus <strong>the</strong> troposphere) is 175 ± 50 per meg. Thiscalculation can also be preformed graphically on Figure 7.The calculated 17 D AW value is smaller than ei<strong>the</strong>r 215 per megobtained for Lake Kinneret water (section 5.3) or 249 per megfor seawater [Luz <strong>and</strong> Barkan, 2000]. The difference between<strong>the</strong> calculated 17 D AW <strong>and</strong> value obtained for seawater can besolved if higher global rates <strong>of</strong> <strong>photorespiration</strong> will beassumed in <strong>the</strong> calculation. However, this will not explain<strong>the</strong> difference between <strong>the</strong> values obtained for Kinneret water<strong>and</strong> seawater. Both this difference, <strong>and</strong> <strong>the</strong> difference betweenseawater <strong>and</strong> <strong>the</strong> calculated 17 D AW , can be explained byvarious isotope effects in <strong>the</strong> hydrological cycle.[75] Reported l values for meteoric precipitation rangefrom 0.528 [Meijer <strong>and</strong> Li, 1998] to 0.525 [Miller, 2002].Since q is only slightly lower than l (0.002), it is clear that<strong>the</strong> corresponding q values are higher than <strong>the</strong> ones wedetermined for biological uptake (0.506–0.516). The source<strong>of</strong> Lake Kinneret water is depleted meteoric precipitationthat later becomes enriched by evaporation. Hence, arelatively low q associated with evaporation can explainwhy <strong>the</strong> 17 D W <strong>of</strong> lake Kinneret is lower than that <strong>of</strong> seawater[Luz <strong>and</strong> Barkan, 2000]. Similar explanation can show how17 D AW becomes 74 per meg smaller than 17 D W <strong>of</strong> seawater.If <strong>the</strong> q <strong>of</strong> evapotranspiration is also low, <strong>the</strong>n <strong>the</strong> depletionin <strong>the</strong> heavy isotopes <strong>of</strong> meteoric precipitation <strong>and</strong> <strong>the</strong>enrichment in evapotranspiration will yield a low 17 D <strong>of</strong>average leaf water. Such low 17 D <strong>of</strong> leaf water will contributeto a low 17 D AW (175 per meg, Figure 7).[76] The discussion above demonstrates that rigorousclosure <strong>of</strong> <strong>the</strong> triple isotopic balance requires direct measurements<strong>of</strong> <strong>the</strong> q values associated with <strong>the</strong> hydrologicalcycle. Such estimation will enable independent estimate <strong>of</strong><strong>the</strong> isotopic composition <strong>of</strong> average water ( 17 D AW ). TheFigure 7. Schematic illustration (not to scale) <strong>of</strong> suggestedtriple isotope budget in <strong>the</strong> present global atmosphere. Theglobal composition <strong>of</strong> oxygen produced by photosyn<strong>the</strong>sis(AW) is a weighted average <strong>of</strong> about 60% O 2 producedfrom leaf water <strong>and</strong> 40% from seawater. Average leaf wateris formed from seawater that is depleted in 17 O <strong>and</strong> 18 Oduring meteoric precipitation (q 0.525) <strong>and</strong> enriched byevapotranspiration (q < 0.525). AW oxygen is enriched dueto biological uptake (q b = 0.513) to form BSS oxygen. BSSsignifies <strong>the</strong> hypo<strong>the</strong>tical composition <strong>of</strong> <strong>the</strong> atmospherethat would have been produced in <strong>the</strong> absence <strong>of</strong> stratosphericphotochemistry. Fur<strong>the</strong>r mass independent depletion(q 1) by stratospheric photochemistry causes 117 per meglowering <strong>of</strong> atmospheric 17 D.average global biological q (q b ) could be calculated from17 D AW <strong>and</strong> <strong>the</strong> measured triple isotopic composition <strong>of</strong>atmospheric O 2 . Our study shows that <strong>the</strong> relative globalrates <strong>of</strong> dark respiration <strong>and</strong> <strong>photorespiration</strong> control q b .Hence, <strong>the</strong> rates <strong>of</strong> <strong>the</strong>se globally important processes couldbe evaluated from triple isotope studies.6. Conclusions[77] The q values for <strong>the</strong> <strong>cytochrome</strong> <strong>pathway</strong>, <strong>the</strong> alternative<strong>pathway</strong>, <strong>photorespiration</strong>, <strong>and</strong> diffusion in air are0.516 ± 0.001, 0.514 ± 0.001, 0.506 ± 0.005, <strong>and</strong> 0.521 ±0.001, respectively. The combined effect <strong>of</strong> diffusion <strong>and</strong>respiration on <strong>the</strong> atmosphere was shown to be close to that<strong>of</strong> dark respiration. Since <strong>the</strong> value associated with <strong>photorespiration</strong>was found to be considerably lower than that <strong>of</strong>dark respiration, <strong>the</strong> triple isotopic composition <strong>of</strong> atmosphericO 2 is strongly controlled by <strong>the</strong> relative global rates<strong>of</strong> <strong>the</strong>se two processes. This control makes <strong>the</strong> tripleisotopic composition a tracer <strong>of</strong> <strong>the</strong> global rate <strong>of</strong> <strong>photorespiration</strong>in <strong>the</strong> past, as well as in <strong>the</strong> present.[78] The engagement <strong>of</strong> <strong>the</strong> alternative oxidase <strong>pathway</strong>(AOX) in <strong>the</strong> light is larger in low CO 2 than in high CO 2concentrations. Thus, environmental conditions that lower<strong>the</strong> internal CO 2 concentration in leaves are expected tocause an increase in <strong>photorespiration</strong> rate as well as in <strong>the</strong>AOX rate. Since <strong>the</strong> fractionation in both processes is strong,such environmental conditions will cause an increased DoleEffect.


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