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GlobalChangeBiology(2016),doi:10.1111/gcb.13315 Variation in stem mortality rates determines patterns of above-ground biomass in Amazonian forests: implications for dynamic global vegetation models MICHELLE O. JOHNSON1, DAVID GALBRAITH1, MANUEL GLOOR1, HANNES DE DEURWAERDER2, MATTHIEU GUIMBERTEAU3,4, ANJA RAMMIG5,6, KIRSTEN THONICKE6, HANS VERBEECK2, CELSO VON RANDOW7, ABEL MONTEAGUDO8, OLIVER L. PHILLIPS1, ROEL J. W. BRIENEN1, TED R. FELDPAUSCH9, GABRIELA LOPEZ GONZALEZ1, SOPHIE FAUSET1, CARLOS A. QUESADA10, BRADLEY CHRISTOFFERSEN11,12, PHILIPPE CIAIS3, GILVAN SAMPAIO7, BART KRUIJT13, PATRICK MEIR11,14, PAUL MOORCROFT15, KE ZHANG16, ESTEBAN ALVAREZ-DAVILA17, ATILA ALVES DE OLIVEIRA10, IEDA AMARAL10, ANA ANDRADE10, LUIZ E. O. C. ARAGAO8, ALEJANDRO ARAUJO- MURAKAMI18, ERIC J. M. M. ARETS13, LUZMILA ARROYO18, GERARDO A. AYMARD19, CHRISTOPHER BARALOTO20, JOCELY BARROSO21, DAMIEN BONAL22, RENE BOOT23, JOSE CAMARGO10, JEROME CHAVE24, ALVARO COGOLLO25, FERNANDO CORNEJO VALVERDE26, ANTONIO C. LOLA DA COSTA27, ANTHONY DI FIORE28, LEANDRO FERREIRA29, NIRO HIGUCHI10, EURIDICE N. HONORIO30, TIM J. KILLEEN31, SUSAN G. LAURANCE32, WILLIAM F. LAURANCE32, JUAN LICONA33, THOMAS LOVEJOY34, YADVINDER MALHI35, BIA MARIMON36, BEN HUR MARIMON JUNIOR36, DARLEY C. L. MATOS29, CASIMIRO MENDOZA37, DAVID A. NEILL38, GUIDO PARDO39, MARIELOS PEN˜ A-CLAROS33,40, NIGEL C. A. PITMAN41, LOURENS POORTER40, ADRIANA PRIETO42, HIRMA RAMIREZ-ANGULO43, ANAND ROOPSIND44, AGUSTIN RUDAS42, RAFAEL P. SALOMAO29, MARCOS SILVEIRA45, JULIANA STROPP46, HANS TER STEEGE47, JOHN TERBORGH41, RAQUEL THOMAS44, MARISOL TOLEDO33, ARMANDO TORRES-LEZAMA43, GEERTJE M. F. VAN DER HEIJDEN48, RODOLFO VASQUEZ9, IMA CE(cid:1)LIA GUIMARA~ES VIEIRA29, EMILIO VILANOVA43, VINCENT A. VOS49,50 andTIMOTHY R. BAKER1 1SchoolofGeography,UniversityofLeeds,LeedsLS62QT,UK,2CAVElabComputational&AppliedVegetationEcology,Faculty ofBioscienceEngineering,GhentUniversity,CoupureLinks653,B-9000Gent,Belgium,3LaboratoiredesSciencesduClimatetde l’Environnement,LSCE/IPSL,CEA-CNRS-UVSQ,Universite´Paris-Saclay,F-91191Gif-sur-Yvette,France,4UMR7619 METIS,IPSL,SorbonneUniversite´s,UPMC,CNRS,EPHE,75252Paris,France,5TUMSchoolofLifeSciencesWeihenstephan, TechnicalUniversityMunich,Hans-Carl-von-Carlowitz-Platz2,85354Freising,Germany,6PotsdamInstituteforClimateImpact Research(PIK),TelegrafenbergA62,POBox601203,D-14412Potsdam,Germany,7INPE,Av.DosAstronautas,1.758,Jd. Granja,CEP:12227-010SaoJosedosCampos,SP,Brazil,8Jard´ınBota´nicodeMissouri,ProlongacionBolognesiMz.e,Lote6, Oxapampa,Pasco,Peru,9Geography,CollegeofLifeandEnvironmentalSciences,UniversityofExeter,RennesDrive,ExeterEX4 4RJ,UK,10INPA,Av.Andre´Arau´jo,2.936,CEP69067-375Petro´polis,Manaus,AM,Brazil,11SchoolofGeosciences,University ofEdinburgh,EdinburghEH93FF,UK,12EarthandEnvironmentalSciencesDivision,LosAlamosNationalLaboratory,POBox 1663,LosAlamos,NM 87545,USA,13ALTERRA,Wageningen-UR,POBox47,6700AAWageningen,TheNetherlands, 14ResearchSchoolofBiology,AustralianNationalUniversity,Canberra,ACT0200,Australia,15DepartmentofOrganismicand EvolutionaryBiology,HarvardUniversity,26OxfordStreet,Cambridge,MA 02138,USA,16CooperativeInstituteforMesoscale MeteorologicalStudies,UniversityofOklahoma, NationalWeatherCenter, Suite2100,120DavidL.BorenBlvd,Norman,OK 73072,USA,17Fundacio´nCon-Vida,Cr68A46A-77Medell´ın,Medell´ın,Colombia,18MuseodeHistoriaNaturalNoelKempff Mercado,UniversidadAutonomaGabrielReneMoreno,Casilla2489,Av.Irala565,SantaCruz,Bolivia,19UNELLEZ-Guanare, ProgramadeCienciasdelAgroyelMar,HerbarioUniversitario(PORT),MesadeCavacas,EstadoPortuguesa3350,Venezuela, 20DepartmentofBiologicalSciences,InternationalCenterforTropicalBotany(ICTB),FloridaInternationalUniversity,112200 SW8thStreet,OE167,Miami,FL33199,USA,21UniversidadeFederaldoAcre,CampusdeCruzeirodoSul,RioBranco,Brazil, 22INRA,UMR1137“EcologieetEcophysiologieForestiere”,54280Champenoux,France,23TropenbosInternational,POBox232, 6700AEWageningen,TheNetherlands,24Universite´PaulSabatierCNRS,UMR5174EvolutionetDiversite´Biologique, Correspondence:TimothyR.Baker,tel.+44(0)1133438352,fax +44(0)1133435259,e-mail:[email protected] ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd. 1 ThisisanopenaccessarticleunderthetermsoftheCreativeCommonsAttributionLicense,whichpermitsuse, distributionandreproductioninanymedium,providedtheoriginalworkisproperlycited. 2 M. O. JOHNSON etal. baˆtiment4R1,31062Toulouse,France,25Jard´ınBota´nicodeMedell´ınJoaqu´ınAntonioUribe, Calle73#51D14Medell´ın, Colombia,26AndestoAmazonBiodiversityProgram,PuertoMaldonado,MadredeDios,Peru´,27CentrodeGeociencias, UniversidadeFederaldoPara,CEP66017-970Belem,Para,Brazil,28DepartmentofAnthropology,UniversityofTexasatAustin, SACRoom5.150,2201SpeedwayStopC3200,Austin,TX78712,USA,29MuseuParaenseEmilioGoeldi,Av.Magalha˜esBarata, 376-Sa˜oBraz,CEP:66040-170Bele´m,PA,Brazil,30InstitutodeInvestigacionesdelaAmazon´ıaPeruana,Av.Jose´Quin˜oneskm 2.5,Iquitos,Peru´,31WorldWildlifeFund,125024thStNW,Washington,DC20037,USA,32CentreforTropicalEnvironmental andSustainabilityScience(TESS)andCollegeofMarineandEnvironmentalSciences,JamesCookUniversity,Cairns,Qld4878, Australia,33InstitutoBolivianodeInvestigacio´nForestal,C.P.6201SantaCruzdelaSierra,Bolivia,34EnvironmentalScienceand PolicyDepartmentandtheDepartmentofPublicandInternationalAffairsatGeorgeMasonUniversity(GMU),3351Fairfax Drive,Arlington, VA22201,USA,35EnvironmentalChangeInstitute,SchoolofGeographyandtheEnvironment,Universityof Oxford,SouthParksRoad,OxfordOX13QY,UK,36UniversidadedoEstadodeMatoGrosso,CampusdeNovaXavantina,Caixa Postal08,CEP78.690-000NovaXavantina,MT,Brazil,37EscueladeCienciasForestales(ESFOR),Av.FinalAtahuallpas/n, Casilla447,Cochabamba,Bolivia,38FacultaddeIngenier´ıaAmbiental,UniversidadEstatalAmazo´nica,Pasolateralkm21/2via Napo,Puyo,Pastaza,Ecuador,39UniversidadAutonomadelBeni,CampusUniversitario,Av.Eje´rcitoNacional,final,Riberalta, Beni,Bolivia,40ForestEcologyandForestManagementGroup,WageningenUniversity,POBox47,Wageningen6700AA,The Netherlands,41CenterforTropicalConservation,DukeUniversity,Box90381,Durham,NC27708,USA,42DoctoradoInstituto deCienciasNaturales,UniversidadNacionaldeColombia,Bogota´,Colombia,43InstitutodeInvestigacionesparaelDesarrollo Forestal,UniversidaddeLosAndes,AvenidaPrincipalChorrosdeMilla,CampusUniversitarioForestal,EdificioPrincipal, Me´rida,Venezuela,44IwokramaInternationalCentreforRainforestConservationandDevelopment,77HighStreetKingston, Georgetown,Guyana,45MuseuUniversita´rio,UniversidadeFederaldoAcre,RioBranco,AC69910-900,Brazil,46Instituteof BiologicalandHealthSciences,FederalUniversityofAlagoas, Av.LourivalMeloMota,s/n,TabuleirodoMartins,Macei(cid:1)o, AL 57072-900,Brazil,47NaturalisBiodiversityCenter,POBox 9517,2300RALeiden,TheNetherlands,48SchoolofGeography, UniversityofNottingham,NottinghamNG72RD,UK,49CentrodeInvestigacio´nyPromocio´ndelCampesinado,regionalNorte Amazo´nico,C/NicanorGonzaloSalvatierraN˚362,Casilla16,Riberalta,Bolivia,50UniversidadAuto´nomadelBeni,Avenida6de AgostoN(cid:1)64,Riberalta,Bolivia Abstract Understandingtheprocessesthatdetermineabove-groundbiomass(AGB)inAmazonianforestsisimportantforpre- dictingthesensitivityoftheseecosystemstoenvironmentalchangeandfordesigningandevaluatingdynamicglobal vegetationmodels(DGVMs).AGBisdeterminedbyinputsfromwoodyproductivity[woodynetprimaryproductiv- ity(NPP)]andtherateatwhichcarbonislostthroughtreemortality.Here,wetestwhethertwodirectmetricsoftree mortality(theabsoluterateofwoodybiomasslossandtherateofstemmortality)and/orwoodyNPP,controlvaria- tioninAGBamong167plotsinintactforestacrossAmazonia.Wethencomparetheserelationshipsandtheobserved variation in AGB and woodyNPP with the predictions of four DGVMs. The observations show that stem mortality rates,ratherthanabsoluteratesofwoodybiomassloss,arethemostimportantpredictorofAGB,whichisconsistent withtheimportanceofstandsizestructurefordeterminingspatialvariationinAGB.Therelationshipbetweenstem mortalityratesandAGBvariesamongdifferentregionsofAmazonia,indicatingthatvariationinwooddensityand height/diameterrelationshipsalsoinfluencesAGB.Incontrasttopreviousfindings,wefindthatwoodyNPPisnot correlated with stem mortality rates and is weakly positively correlated with AGB. Across the four models, basin- wideaverageAGBissimilartothemeanoftheobservations.However,themodelsconsistentlyoverestimatewoody NPP and poorly represent the spatial patterns of both AGB and woody NPP estimated using plot data. In marked contrast to the observations, DGVMs typically show strong positive relationships between woody NPP and AGB. Resolvingthesedifferenceswillrequireincorporatingforestsizestructure,mechanisticmodelsofstemmortalityand variationinfunctionalcompositioninDGVMs. Keywords: allometry,carbon,dynamicglobalvegetationmodel,forestplots,productivity,tropicalforest Received3October2015;revisedversionreceived5February2016andaccepted1March2016 basininparticularcomprisesapproximately50%ofthe Introduction world’s tropical forests, and therefore, any perturba- Tropical forests are the most carbon-rich and produc- tions to this ecosystem will have important feedbacks tive of all forest biomes (Pan et al., 2011). The Amazon onbothcarboncyclingandclimateworldwide(Zhao& ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 STEM MORTALITY CONTROLS FOREST BIOMASS 3 Running,2010;Wanget al.,2014).Itisthereforeimpor- processes that drive variation in above-ground carbon tant that we understand the processes that determine stocks, which can also be used to evaluate and cali- current patterns of carbon storage and cycling to pre- brate DGVMs. For example, the paradigm to emerge dict how the productivity and carbon stores of these from previous analysis of plot data in Amazonia is forests will respond to changing environmental condi- that there is a positive association between woody tions. NPP and stem mortality rates, linked to a reduction Ourknowledgeofthesensitivityofrainforestecosys- in AGB (Baker et al., 2004; Malhi et al., 2004; Quesada tems to environmental change is based on three et al., 2012). This finding has been used to evaluate sources. Firstly, observational data from networks of the architecture and outputs of DVGMs (Negro´n- permanent plots, flux towers, remote sensing and air- Jua´rez et al., 2015) and has stimulated attempts to craft measurements of greenhouse gas concentrations make direct links between mortality and woody NPP have demonstrated the sensitivity of these ecosystems in these models (Delbart et al., 2010; Castanho et al., to environmental change, particularly in response to 2013). drought(e.g.Phillipset al.,2009;Restrepo-Coupeet al., More generally, observational data are valuable for 2013;Gattiet al.,2014).Secondly,experimentalmanipu- informing how the fundamental processes that influ- lations of water stress have probed the mechanisms enceAGBshouldbeincludedinvegetationmodels.For behind these responses (e.g. Nepstad et al., 2007; da example, the residence time of woody biomass, s w Costaet al.,2010;Meiret al.,2015;Rowlandet al.,2015). (years), is often used as a measure of mortality in Thirdly, process-based ecosystem models, especially DGVMsandisdefinedforaforestatsteadystateas: dynamicglobalvegetationmodels(DGVMs),havebeen AGB used to explore the future sensitivity of Amazon vege- sw ¼ W : ð1Þ P tation to increasing temperatures, carbon dioxide con- centrationsandwaterstress(e.g.Galbraithet al.,2010). This parameter varies almost sixfold among tropical Coupled with climate models, DGVMs have high- forest plots (Galbraith et al., 2013). However, surpris- lighted the sensitivity (Cox et al., 2004), and more ingly, in several commonly used vegetation models, recently, the resilience (Rammig et al., 2010; Hunting- thisparameterisconstant;Galbraithet al.(2013)found fordet al.,2013)ofAmazonianforeststoenvironmental that 21 of the 27 vegetation models they compared use change. However, observations of above-ground bio- single, fixed values for this parameter. In addition, mass (AGB, Mg C ha(cid:1)1) and woody productivity (the observational data suggest that the ultimate cause of amount of net primary productivity (NPP) allocated to variationintreemortality,WPandhenceAGBisvaria- above-groundwoodygrowth:W ,MgCha(cid:1)1 yr(cid:1)1)are tion in edaphic properties (Quesada et al., 2012). Que- P still little used to parameterize and evaluate DGVMs sada et al. (2012) found that spatial differences in WP (e.g. Delbart et al., 2010; Castanho et al., 2013), despite correlated most strongly with total soil phosphorus, substantial progress increasing the spatial distribution whereas stem mortality rates correlated with a soil ofsuchinsituobservations(e.g.Feldpauschet al.,2011; physical structure index which combined soil depth, Quesada et al., 2012; Mitchard et al., 2014). Integrating texture, topography and anoxia. Most DGVMs, how- the insights from such observational studies into the ever,onlyincludeverylimitedfeedbacksbetweenveg- design, calibration and validation of DGVMs would etation and edaphic properties. Soil properties such as enhance our ability to make convincing predictions of texturearemainlyimplementedintoDGVMstoparam- thefutureoftropicalcarbon. eterize hydraulic processes (e.g. Marthews et al., 2014) Observational data can either be used to evaluate and soil structure and nutrient content are rarely con- the outputs of models, or more fundamentally, cali- sideredforotherprocessessuchasstemmortality. brate and inform the processes that models should Overall,theaimofthisstudyistocomparehowvari- aim to include. For example, networks of inventory ation in WP and mortality control variation in AGB in plots have revealed strong differences in AGB among Amazonia using both field observations and four terra firme forests in north-east and south-western DGVMs, to inform the future development of vegeta- Amazonia (Baker et al., 2004; Malhi et al., 2006; Bar- tion models. In terms of the analysis of observations, aloto et al., 2011; Quesada et al., 2012; Mitchard et al., we build on previous work (e.g. Baker et al., 2004; 2014). Such observations have been used to evaluate Malhi et al., 2004, 2015) in two ways. Firstly, we com- the predictions of Amazonian forest biomass from parepatternsofAGBwithvariationintwodirectmea- both remote sensing (e.g. Mitchard et al., 2014) and surements of mortality from each plot: the absolute, DGVM studies (e.g. Castanho et al., 2013). These field stand-level rate of woody biomass loss (WL; Mg C observations also yield information about the ha(cid:1)1 yr(cid:1)1) and the rate of stem mortality (l; % yr(cid:1)1). ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 4 M. O. JOHNSON etal. Previousstudieshaveuseds toexaminehowmortal- climate, forest structure and species composition (e.g. w ity influences AGB (e.g. Malhi et al., 2004, 2015; Gal- terSteegeet al.,2006;Feldpauschet al.,2011).Here,we braith et al., 2013). However, although s is a useful use data from these regions to test whether the para- w parameterinthecontextofvegetationmodellingandto digmofapositiveassociationbetweenwoodyNPPand partition ecosystem carbon fluxes, its dependency on stem mortality rates, linked to a reduction in AGB, is AGB (see Eqn 1) means that this term is not an inde- foundacrossthefullrangeofSouthAmericanlowland pendentcontrolofAGBstocks:itisinevitablethatAGB moisttropicalforests. is inversely related to s . In addition, as s is defined In terms of the analysis of the DGVMs, we aim w w foraforestatsteadystate,itcannotbeeasilyrelatedto firstly to establish the reliability of land vegetation specific short-term processes, such as droughts, which simulation for the Amazon basin by comparison of ultimately cause tree mortality. Here, we therefore test modelling results with kriged maps of field observa- the sensitivity of AGB to direct independent measures tions of W , mortality and AGB that illustrate the P ofbothstand-levelandstem-levelvariationinmortality major patterns of variation in these variables. We then rates,asthesemeasuresmayultimatelyprovideamore test how well the four DGVMs capture these spatial appropriatebasisformodellingmortalityinDGVMs. patterns and the overall magnitude of AGB and W . P Secondly, we greatly extend the spatial coverage of Finally, we explore the relationships between simu- observations. The first large-scale studies of Amazon lated AGB, W and s . By comparing our findings P w forest dynamics (Baker et al., 2004; Malhi et al., 2004; from the analysis of the observations and simulation Phillipset al.,2004)focusedonthewestern,andcentral results, we conclude by making recommendations for andeasternportionsofthebasin,butincludedfewdata model developments and data collection that will from forests on the Guiana and Brazilian Shields improve our ability to model Amazonian vegetation (Fig. 1). These areas, however, have distinctive soils, carbon stocks. (a) (b) (c) Fig.1 Locationofplotsusedtocalculate(a)above-groundwoodybiomass,(b)above-groundwoodyproductivityandstemandbio- mass-basedmortalityand(c)thepositionofthekriged1°mapgridcells.TheAmazonbasinincludingforestsontheGuianaShieldis splitintoregions(shownbydifferentcolours)thataredefinedinFeldpauschetal.(2011).Plotlocationsarenotgeographicallyexact butareoffsetslightlytoimprovethevisualizationofplotswhichareinverycloseproximitytoeachother. ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 STEM MORTALITY CONTROLS FOREST BIOMASS 5 where D is stem diameter (cm), q is stem wood density Materialsandmethods (gcm(cid:1)3),Hisstemheight(m)andnisthenumberoftreesin the stand. We retained the use of this biomass equation for Plotobservations this study, instead of using the recent biomass equation of Chaveetal.(2014),toprovideestimatesofW thatareconsis- We used tree inventory data from permanent sample plots P tent with Mitchard et al. (2014). Estimates of AGB for moist locatedthroughoutAmazoniacompiledaspartoftheRAIN- tropicalforestsareinfactsimilarusingeitherequation(Chave FORandTEAMnetworkstoestimatestocks(AGB)andfluxes etal., 2014). The height of each tree was estimated from tree of carbon (woody NPP, stem and biomass mortality) within diameter using a height-diameter Weibull equation with dif- Amazonian forest stands (Fig. 1). For analysis of AGB, we ferent coefficients for each region, based on field-measured, used the data for the 413 plots analysed by Mitchard et al. height-diameter relationships (Feldpausch etal., 2011). We (2014) (Fig. 1a). For properties which can only be calculated usedthismethodtoestimatetreeheight,ratherthanpredict- by observing change over time and thus require more than onecensus,plotsinintact,moist,lowland(<1000masl)forest ing height on the basis of climate as in Chave et al. (2014), becauseamongmoistforestsinAmazonia,theprincipalvaria- werechosenwhichhadaminimumtotalmonitoringperiodof tion in height/diameter allometry is due to the contrast 2 years between 1995 and 2009 inclusive. Data for 167 plots between the particularly tall-statured forests on the Guiana thatmetthesecriteriaforanalysisofdynamicpropertieswere Shield and shorter-statured forest in other regions (Feld- downloadedfromForestPlots.net(Lopez-Gonzalezetal.,2011, pausch etal., 2011). This difference is related to the unique 2012;Johnsonet al.,2016;Fig. 1bandTableS1)andtheTEAM species composition of forests on the Guiana Shield rather website (http://www.teamnetwork.org/data/query; data set than variation in climate (Feldpausch etal., 2011). The wood identifier codes 20130415013221_3991 and 20130405063033_ density of each tree wasassigned on a taxonomicbasis from 1587). For this data set, mean plot size is 1.09ha, the mean the pan-tropical database of Zanne etal. (2009) and Chave dateofthefirstcensusis2000.2andthemeandateofthefinal etal. (2009), following Baker etal. (2004). Mean plot wood censusis2008.5.Meancensusintervallengthis3.70yearsand density values were used when taxonomic information was plot mean total monitoring period is 8.3years. Most of the missingforindividualtrees. plotsweremonitoredformostofthetimeperiod:onaverage, To estimate total above-ground woody biomass, we 76% of plots were being monitored in any given year from 2000–2008(Fig.S1).Alltreeswithadiameteratbreastheight assumed that carbon is 50% of total dry biomass (Penman etal., 2003) and to account for the unmeasured, small trees (dbh)greaterthan10cmwereincludedintheanalyses. (<10cm), we added an additional 6.2% of carbon to each of Plotswereclassifiedintofourregionsoflowlandmoistforest theplots,followingMalhietal.(2006).Wedonotincludethe definedbythenatureandgeologicalageofthesoilsubstrate unknown contributions from lianas, epiphytes, necromass, (Fig.1;Feldpauschetal.,2011).ThesoilsandforestsoftheGui- shrubsandherbs. anaandBrazilianShieldshavedevelopedonold,Cretaceous, crystallinesubstrates,whereastheforestsofWesternAmazonia are underlain by younger Andean substrates and Miocene Mortalityandproductivity deposits(Irion,1978;Quesadaetal.,2010;Higginsetal.,2011). East-central Amazonia contains reworked sediments derived Stem mortality rates were calculated as the exponential mor- fromtheotherthreeregionsthathaveundergonealmostcontin- talitycoefficientl[%yr(cid:1)1;Sheil&May(1996)]: uousweatheringformorethan20millionyears,leadingtovery nutrientpoorsoils(Irion,1978;Quesadaetal.,2010).Previous l¼lnðn0Þ(cid:1)lnðn0(cid:1)ndÞ(cid:3)100; ð3Þ comparativestudieshavenotedsubstantialdifferencesinforest t dynamicsbetweenWesternandEast-centralAmazonia(Baker where n is the number of stems at the start of the census etal.,2004,2014;Quesadaetal.,2012),butlargelyexcludedfor- 0 interval,n isthenumberofstemsthatdieintheintervaland ests on the Guiana and Brazilian Shields. This classification d tisthecensusintervallength.Asestimatesofmortalityrates thereforeallowsustotesttheimpactofincludingthesedistinc- in heterogeneous populations are influenced by the census tiveforestsonAmazon-widepatternsofforestdynamics. interval, we standardized our estimates of l to comparable censusintervalsusingtheequationofLewisetal.(2004).We Above-groundbiomass calculated corrected values of l for each census interval for each plot in the data set, and calculated average values of l ForAGBvalues,weusedthedatasetpresentedbyMitchard perplot,weightedbythecensusintervallength. etal.(2014)andLopez-Gonzalezet al.(2014).Inbrief,forthis TotalNPPcannotbecalculatedfromtreeinventoriesasthis dataset,theAGB(MgDWha(cid:1)1)ofeachplotwascalculated includes both the growth of the stem as well as litterfall and using the Chave etal. (2005) moist forest allometric equa- rootproductionwhichhasonlybeenmeasuredatarelatively tionwhichincludesmeasurementsofdiameter,wooddensity small number of Amazonian sites (Malhi et al., 2015). There- andheight: fore,we arerestricted tocalculatingW ,whichcanbecalcu- P P nð0:0509qD2HÞ lated from repeated censuses of tree diameters within AGB¼ 1 ; ð2Þ inventoryplots.Comparableoutputcanbeobtainedfromveg- 1000 ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 6 M. O. JOHNSON etal. etation models as DGVMs typically partition total above- from four DGVMs. The DGVMs included in this study are groundNPPintodifferentcarbonpoolsusingvariouscarbon the joint uk land environment simulator (jules), v. 2.1. (Best allocation algorithms, ranging from fixed coefficients (e.g. etal.,2011;Clarket al.,2011),theLund-Potsdam-JenaDGVM INLAND) to approaches based on resource limitation (e.g. for managed Land (LPJmL; Sitch etal., 2003; Gerten et al., ORCHIDEE). For comparison with measurement data, we 2004; Bondeau et al., 2007), the INtegrated model of LAND used the fraction of simulated above-ground NPP that the surface processes (INLAND) model (a development of the modelsallocatetowoodygrowth.Boththeobservedmeasure- IBISmodel,Kuchariketal.,2000)andtheOrganisingCarbon mentsandmodelsexcludethecontributiontoW thatismade andHydrology InDynamicEcosystEms(ORCHIDEE) model P bythelossandregrowthoflargewoodybranches.Thiscom- (Krinner etal., 2005). A brief description of each of the four ponentisapproximately1MgCha(cid:1)1 a(cid:1)1inAmazonianfor- models and how output data are derived is included in the estsor10%ofabove-groundNPP(Malhiet al.,2009).W was supplementary information (Appendix S2). The models each L calculated as the sum of the biomass of all trees that died followed the standardized Moore Foundation Andes-Ama- withinagivencensusinterval. zon Initiative (AAI) modelling protocol (Zhang et al., 2015). EstimatesofW andW areinfluencedbythecensusinter- The simulated region spanned 88°W to 34°W and 13°N to P L val over which they are calculated, because more trees will 25°S. Simulations from each model included a spin-up per- recruit anddie without being recorded during longer census iod from bare ground of up to 500years with pre-industrial intervals(Talbotetal.,2014).WefollowedthemethodsofTal- atmospheric CO (278ppm). The models were then forced 2 bot et al. (2014) for calculating W with forest inventory data by recycling 39year, 1° spatial resolution, bias-corrected P tocorrectforthisbias(Supportinginformation,AppendixS1). NCEP meteorological data (Sheffield etal., 2006) for 1715– Thus, we calculated W as the sumof (i) the growth of trees 2008 with increasing CO concentrations, as in Zhang et al. P 2 that survive the census period, and the estimated growth of (2015). Figure S3 shows the spatial distribution of mean (ii) trees that died during the census interval, prior to their meteorological variables for 2000–2008 across the Amazon death, (iii) trees which recruited within the interval, and (iv) basin. As well as precipitation, temperature and short-wave treesthatbothrecruitedanddiedduringthecensusinterval. radiation we also show maximum cumulative water deficit Similarly, to calculate W we summed the biomass of trees (MWD), calculated from monthly precipitation values to L, thatdiewithinacensusintervalwithcomponents(ii)and(iv) indicatedroughtseverityacrossthebasin,asinAragaoet al. above.WecalculatedcorrectedvaluesofW andW foreach (2007).Thetimeperiodofmodeloutputis2000–2008. P L census interval for each plot in the data set, and calculated TocomparesimulatedwoodyNPPwithobservedW ,cor- P averagevaluesperplot,weightedbycensusintervallength. rections were applied to the simulated total woody NPP to calculate above-ground woody NPP only, by assuming a Analysisofobservationaldata below-groundtoabove-groundallocationratioof0.21(Malhi etal.,2009).InthecaseofJULES,onlyafractionoftheNPPis ThecurrentparadigmforAmazonianforestssuggeststhatW P allocated tobiomass growth, astheremainder is allocatedto and l are positively correlated and that both correlate nega- ‘spreading’ of vegetated area – an increase in the fraction of tively withAGB(Malhiet al.,2002;Quesadaetal., 2012).We grid cell cover (Cox, 2001). To facilitate comparison with tested whether these relationships are supported by the data observationsandothermodels,wethereforerescaledW from from across South American tropical lowland moist forest, P JULES,retainingtherelativeallocationtowoodbutassuming includingplotsfromtheGuianaandBrazilianShield.Firstly, thatalloftheNPPwasusedforgrowth. weexploredwhetherdifferentregionshavedistinctivepatterns We compared model outputs to kriged maps of AGB, W ofcarboncyclingbycomparingW ,W ,landAGBamongthe P P L and mortality to understand how well the DGVMs captured fourregionsusingANOVA.Secondly,weexploredtherelation- the major differences in AGB, W and mortality across the ships between these terms using generalized least squares P basin. The forest properties were mapped onto a region regression.WetestedwhetherW andeitherW orlweresig- P L defined as Amazonia sensu stricto (Eva et al., 2005) which is nificantlyrelatedtoAGBandwhethertheserelationshipsdif- divided into 1° by 1° longitude–latitude grid cells (Fig. 1c). fered among the four regions. We accounted for spatial Model output was provided for the same grid. The kriged autocorrelation by specifying a Gaussian spatial correlation mapswerecreatedusingordinarykrigingwiththegstatpack- structure,whichisconsistentwiththeshapeofthesemivari- ageinR(Pebesma,2004).Toassessthepredictiveabilityofthe ograms for these forest properties across the plot network kriging method, we performed a leave-one-out cross-valida- (Fig.S2).Stemmortalityratesandabsoluteratesofwoodybio- tiontechnique.Thisinvolvesleavingonesiteoutinturnand masslosswerelog-transformedpriortoanalysistoensurethe performingthekrigingusingtherestoftheobservations.The residuals were normally distributed. Model evaluation was kriging prediction for this location was then compared with performedonthebasisofAkaikeinformationcriterion(AIC) theobservation.Resultsfromthecross-validationdemonstrate values.AnalyseswerecarriedoutusingthenlmepackageinR thattherewasnospatialbiasinthekrigingmethod(Fig.S4). (RDevelopmentCoreTeam,2012;Pinheiroetal.,2015). Therewasalsonotendencyforthekrigingtooverestimateor underestimatevaluesforthewholebasin.However,thekrig- Modelsimulationsandcomparisonwithobservations ing method was not able to capture the few locations with We tested how well a range of DGVMs perform for Amazo- veryhighmortalityvalues(Fig.S5).Thisproblemiscommon nia by comparing observed AGB, W and s to the output to any interpolation method which is effectively averaging P w ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 STEM MORTALITY CONTROLS FOREST BIOMASS 7 observed values. The median percentage bias between the regionsisassociatedwithdifferentpatternsinW .Inthe P leave-one-out cross-validation and the measured plot values western Amazon, the lower biomass values are associ- was13.6%,12.7%and23.0%forAGB,WPandstemmortality ated with high WP (Fig. 2a–c). In contrast, the particu- raterespectively. larly low biomass forests of the Brazilian Shield have Wedonotintendthekrigedmapstobeadetailed,accurate highratesofstemmortalityandlowW (Fig. 2a–c). P description of Amazon forest properties: ecological patterns Analysis of the relationships using generalized are a mix of smooth gradients (e.g. related to climate) and least squares allows the relative importance of W more abrupt boundaries (e.g. related to edaphic properties) P and l for determining AGB to be explored in more thatcannotbeshownusingthesemethods.Rather,weintend detail. Stem mortality rate is the key parameter that thesemapsasbroadscaletoolstoprovideameansofevaluat- ingtheperformanceofthevegetationmodels. controls variation in AGB (Table 2, Fig. 4c). This rela- Finally, we compared how well the DGVMs captured the tionship between AGB and stem mortality rates is mean and variability in AGB, W and s (calculated using not because there is a correlation between AGB and P w averagevaluesforWPandAGBacrossallgridcellsfor2000– stem number, as these two variables are unrelated 2008 from model outputs using Eqn 1) for grid cells where (Fig. S6). In contrast, the alternative measure of mor- thereisobservationaldata,andcontrastthecontrolsonAGB tality, W , is not related to AGB (Fig. 4b): all models L betweenobservationsandmodelsintermsofW andmortal- P including stem mortality rates, rather than W , show L ity. We acknowledge that the models will predict a small substantially better fit and lower AIC values increaseinW overthetimeperiodofstudyduetoCO fertil- ization(~0.35PMgCha(cid:1)1 a(cid:1)1;Lewiset al.,2009).Howev2er,the (Table 2). effectofthisprocessonestimatesofs issmall. The effect of stem mortality rate on AGB also differs w amongregions(Fig.4c).Forexample,forastemmortal- ityrateof1.5%yr(cid:1)1,forestsontheGuianaShieldstore Results approximately 75% more carbon as (above-ground) wood than forests on the Brazilian Shield (Fig. 4c). In Observedlinksbetweenwoodybiomass,mortalityand addition,thestrengthoftherelationshipbetweenAGB productivity and stem mortality rates varies among regions: the There is a strong variation in AGB (F = 72.1, slope of this relationship is comparatively shallow 3,163 P < 0.001), l (F = 23.6, P < 0.001) and W amongtheplotsinwesternAmazonia(Fig.4c).Finally, 3,163 P (F = 22.7,P < 0.001)amongthefourregions,butnot W is significantly positively correlated with variation 3,163 P W (F = 1.49,ns;Table 1,Fig. 2).ForestsontheGui- in AGB, although the relationship is weak (Table 2, L 3,163 ana Shield are characterized by the highest AGB of all Fig.4a). Amazonianforests,associatedwithlowstemmortality ratesandhighW (Fig. 2a–c).East-centralAmazonfor- P Modelprojectionsandcomparisonwithobservations estsalsohavecomparativelyhighAGBandsimilar,very lowstemmortalityrates.However,W islowerinthese The comparisons of simulated AGB and above-ground P sites (Fig. 2b). Compared with these regions, forests in W reveal considerable differences both between the P the western Amazon and on the Brazilian Shield have individual models and between the models and obser- lower AGB. However, the lower biomass in these two vations(Table 3,Figs5,6,S7andS8).Forthewholeof Table1 Observedforestproperties(mean (cid:4) SE)calculatedfromplotdataforeachregionofAmazonia East-central Western Basin GuianaShield Amazon Amazon BrazilianShield Meanabove-groundbiomass(MgCha(cid:1)1) 153.48(cid:4) 2.82 211.91(cid:4)5.03 167.64(cid:4) 4.95 126.26(cid:4) 2.38 107.73(cid:4) 4.48 n= 413 n= 110 n = 78 n =149 n= 76 Meanabove-groundwoodyproductivity 2.97(cid:4) 0.06 3.51(cid:4)0.13 2.41(cid:4) 0.07 3.06(cid:4) 0.07 2.40(cid:4) 0.15 (MgCha(cid:1)1yr(cid:1)1) n= 167 n= 41 n = 37 n =76 n= 13 Stem-basedmortalityrate(%yr(cid:1)1) 1.96(cid:4) 0.08 1.66(cid:4)0.16 1.38(cid:4) 0.08 2.62(cid:4) 0.12 3.19(cid:4) 0.38 n= 167 n= 41 n = 37 n =76 n= 13 Meanabove-groundbiomasslosses 2.46(cid:4) 0.13 3.06(cid:4)0.44 2.12(cid:4) 0.16 2.43(cid:4) 0.15 1.57(cid:4) 0.12 (MgCha(cid:1)1yr(cid:1)1) n= 167 n= 41 n = 37 n =76 n= 13 Meanwooddensity(gcm(cid:1)3) 0.63(cid:4) 0.00 0.69(cid:4)0.00 0.67(cid:4) 0.01 0.58(cid:4) 0.00 0.61(cid:4) 0.01 n= 413 n= 110 n = 78 n =149 n= 76 Basalarea(m2 ha(cid:1)1) 26.64(cid:4) 5.53 29.10(cid:4)0.49 28.24(cid:4) 0.51 25.98(cid:4) 0.41 22.73(cid:4) 0.66 n= 413 n= 110 n = 78 n =149 n= 76 ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 8 M. O. JOHNSON etal. Fig.2 Boxplotsofplotmeasurementsof(a)above-groundbiomass,(b)above-groundwoodyproductivity,(c)stemmortalityratesand (d)absoluteratesofwoodybiomasslossinfourregionsofAmazonia.GuShld=GuianaShield,ECAmaz=EastCentralAmazon, WAmaz=WesternAmazon,BShld=BrazilianShield. Table2 GeneralizedleastsquaresmodelsrelatingAGBtovariationin(A)above-groundwoodyproductivity(W ),stemmortality P rates(l)orratesofwoodybiomassloss(W );(B)landW ;(C)W andW among167plotsacrossfourregionsofAmazonia.Mod- L P L P els incorporated region as an additional factor and interactions as appropriate. Terms for mortality were log-transformed before analysis.Allmodelsincorporated aGaussianspatialerrorcorrelation structuretoaccountforspatial autocorrelation. Themodel withthestrongestsupportishighlightedinbold;thismodelwasusedtoquantifytherelationshipsinFig. 3 Model Terms Interactions Loglikelihood AIC Pseudorsquared A.Includingeithermortalityorgrowth 1 l,Region (cid:1)813.7 1643.3 0.65 2 W ,Region (cid:1)830.1 1676.3 0.57 L 3 W ,Region (cid:1)829.3 1674.5 0.58 P B.IncludingW andlasmortalityterm P 4 W ,l,Region (cid:1)810.8 1639.6 0.66 P 5 W ,l,Region l9Region (cid:1)805.0 1634.0 0.68 P 6 W ,l,Region W 9 Region (cid:1)808.8 1641.6 0.67 P P C.IncludingW andW asmortalityterm P L 7 W ,W ,Region (cid:1)829.0 1676.1 0.58 P L 8 W ,W ,Region W 9Region (cid:1)826.7 1677.4 0.59 P L L 9 W ,W ,Region W 9 Region (cid:1)826.6 1677.2 0.59 P L P AGB,above-groundbiomass. the Amazon basin, mean AGB is highest for ORCHI- underestimate mean AGB (Table 3). However, the DEE,andlowestforINLAND;incontrast,woodyNPP modelensemblemeanAGBvalue(163.87MgCha(cid:1)1)is is highest for LPJmL and lowest for JULES (Table 3). closetotheobservedmean(153.48MgCha(cid:1)1).Incon- Compared with the plots, different models over- and trast, all models overestimate above-ground W P ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 STEM MORTALITY CONTROLS FOREST BIOMASS 9 Table3 Basin mean values, standard errors and root mean square error (RMSE) for above-ground wood biomass (AGB; Mg C ha(cid:1)1)andabove-groundwoodynetprimaryproductivity(woodyNPP;MgCha(cid:1)1yr(cid:1)1)fromtheplotobservationsandmeanval- uesfromfourDGVMsfortheplotlocations.Abelow-groundtoabove-groundallocationratioof0.21isappliedtotheDGVMval- uestoconvertfromtotalNPPwoodtoabove-groundwoodyNPP AGB(Obsmean = 153.48) W (Obsmean = 2.97) P AGBwood AGNPPwood Model ORCHIDEE JULES INLAND LPJmL ORCHIDEE JULES INLAND LPJmL Modelmean 218.00(cid:4) 3.16 137.93(cid:4) 2.09 125.43(cid:4) 1.35 174.10(cid:4) 2.89 7.80(cid:4) 0.10 4.05(cid:4) 0.09 7.46(cid:4) 0.11 9.92(cid:4) 0.10 RMSE 91.84 76.98 61.36 73.65 5.00 1.89 4.73 7.06 NPP,netprimaryproductivity;DGVMs,dynamicglobalvegetationmodels. comparedwiththemeanfortheplots,bybetween36% betweenwoodyNPPandAGBfromtheplotdatacom- (JULES)and234%(LPJmL;Table 3,Fig.5).Variationin parativelywell(Fig.7). s inevitably reflects the variation in mean AGB and Simulated AGB and W from all four models show w P woody NPP with average values for ORCHIDEE and strong relationships with climatological drivers. Corre- JULES (27.9 and 33.2 years) approximately twice the lations between W and precipitation are particularly P valuesforINLANDandLPJmL(16.7and17.5 years). strong for INLAND and LPJmL and all models apart Thereareconsiderabledifferencesbetweentheobser- fromJULESexhibitstrongcorrelationsbetweenrainfall vations and the predictions across the four models in and AGB (Fig. S9). Weaker correlations are observed thespatialvariabilityofAGBandW (Figs5,6andS7). between temperature and short-wave radiation and P JULES and INLAND both simulate very little spatial simulatedW andAGB(Fig.S10). P heterogeneityinAGBintheAmazonbasin,incontrast to the strong pattern in the observations: compared Discussion with the observations, they simulate a very narrow range of AGB values and underestimate both the AGB UnderstandingspatialvariationintheAGBofAmazon oftheGuianaShieldandthebasinasawhole(Table 3, forests Fig.5c, e).LPJmLandORCHIDEEdisplaygreatervari- abilityintheirpredictionsofAGB(Fig.5g, i).However, Overall,ourresultsextendandenrichtheoriginalpara- LPJmL predicts highest AGB in the north-west of the digm concerning the controls on forest dynamics in basin in contrast to the observations (Fig. 5i). ORCHI- DEE is the only model that provides a reasonable matchwiththespatialpatternsintheobservations,but thismodelstilloverestimatesAGBformostofthebasin comparedwiththeplotobservations(Table 3,Fig.5g). IntermsofW ,LPJmL(Fig.5j)istheonlymodelthat P captures the higher observed values in the Guiana ShieldandWesternAmazoncomparedwiththeBrazil- ian Shield and East-central Amazon (Fig. 5b). In con- trast, INLAND, ORCHIDEE and JULES simulate very little variability in W across the majority of basin P (Fig.5d, f, h). Forallmodels,thespatialvariationins issimilarto w that of AGB (Fig. 6). LPJmL demonstrates the greatest spatialvariationinresidencetimeswiththehighestval- uesfoundinthenorth-westofthebasin(Fig.6).JULES and INLAND display little variation in s across the w basin. Overall, JULES, LPJmL and INLAND display a much stronger positive relationship between woody NPP and AGB (Fig. 7) than seen in the observations (Fig. 4a), although the form of this relationship varies. Fig.3 Relationship between woody net primary productivity In contrast, the relationship predicted by ORCHIDEE (NPP) and stem mortality rates for 167 forest plots in four matches the variability and form of the relationship regionsofAmazonia. ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315 10 M. O. JOHNSON etal. Amazonia. The previous paradigm described corre- Incontrasttothesepatternsforabsoluteratesofloss latedwesttoeastgradientsinW ,stemmortalityrates ofbiomass,therearestrongrelationshipsbetweenstem P and AGB across the Amazon basin, maintained by a mortality rates and AGB (Fig. 4c). This result suggests soil-mediated, positive feedback mechanism (Malhi that variation in the numbers and diameters of trees et al., 2004; Quesada et al., 2012). Our findings agree that die in different locations is a key control on AGB: thatvariationinmortalityisthekeydriverofvariation high rates of stand-level biomass loss and W can be P in AGB across Amazonian forests (Table 2, Fig. 4). associated with high AGB if stem mortality rates are However, our results modify the current paradigm low, and biomass loss is concentrated in a few large aboutvariationinforestdynamicsinAmazoniainfour trees, but can also be associated with comparatively importantways. lowAGBifstemmortalityratesarehigh,andmortality Firstly,theplotdatademonstratethatthereisnocor- is concentrated in a larger number of smaller trees relation between W (above-ground woody productiv- (Fig. 4). Stem mortality rates may influence AGB P ity) and stem mortality rates with the new, broader because they affect the size structure of forests: demo- data set: they vary independently (Fig. 3). Previous graphic theory demonstrates how higher stem mortal- studies have strongly focused on western Amazonia ityratesareassociatedwithasteeperslopeoftreesize/ and some East-central Amazon sites. However, the frequency distributions and therefore fewer large trees inclusion of data from the Guiana Shield in particular (Coomes et al., 2003; Muller-Landau et al., 2006). In demonstrates that low stem mortality rates can also be turn,variationinthenumberoflargetreesisakeypre- associatedwithhighW (Fig. 3). dictorofspatialvariationinbiomassamongforestplots P Secondly, our results demonstrate that variation in (e.g. Baker et al., 2004; Baraloto et al., 2011). Impor- stem mortality rates, rather than absolute rates of car- tantly, this result indicates that incorporating stem bon loss, is the key aspect of mortality that determines diameter distributions within modelling frameworks variationinAGB.ThelackofcorrelationbetweenAGB will be important for obtaining accurate predictions of andabsoluteratesofbiomassloss(Fig. 4b)issomewhat AGB. surprising: for a forest stand at approximately steady Thirdly, our results resolvea paradox in the original state, we might expect this relationship to at least mir- paradigm–thatW showedanegativecorrelationwith P ror the weak correlation between AGB and stand W AGB(Malhi,2012).Here,withabroaderrangeofsites, P (Fig. 4a).Thisresultmaybebecauseestimatesofabso- theexpectedpositivecorrelationisfound,althoughthe luteAGBlossaresubjecttogreatersamplingerrorthan strengthoftherelationshipremainsweak(Fig. 4a).Pos- W duetostochasticvariationintreemortality(e.g.see itivecorrelationsbetweenAGBandW areafeatureof P P wide variationin values on the x axis ofFig. 4b).Sam- theoutputofDGVMs(e.g.Fig.7).Thisanalysis,atleast pling over longer time intervals may reveal stronger to an extent, demonstrates consistency between one correlationsbetweenabsoluteratesofbiomasslossand aspect of the models and the data, although the AGB. Fig.4 RelationshipsbetweenAGBand(a)woodyNPP,(b)absoluteratesofwoodybiomasslossand(c)stemmortalityratesfor167 forestplotsinfourregionsofAmazonia.LinesrelatetosignificantrelationshipsasgivenbyfinalstatisticalmodelinTable3.NPP,net primaryproductivity;AGB,above-groundbiomass. ©2016TheAuthors.GlobalChangeBiologyPublishedbyJohnWiley&SonsLtd.,doi:10.1111/gcb.13315

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