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Volume4 in theAcademic Press | TERRESTRIAL ECOLOGYSERIES Editor-in-Chief JamesR.Ehleringer,UniversityofUtah,USA Editorial Board JamesMacMahon,UtahStateUniversity,USA MonicaG.Turner,UniversityofWisconsin,USA Books in the Series ToddE.DawsonandRolfT.W.Siegwolf:StableIsotopesasIndicatorsofEcological Change,2007 Keith A. Hobson and Leonard I. Wassenaar: Tracking Animal Migration with StableIsotopes,2008 RobertA.Garrott,P.J.WhiteandFredWatson:LargeMammalEcologyinCentral Yellowstone:ASynthesisof16YearsofIntegratedFieldStudies,2008 AcademicPressisanimprintofElsevier 84Theobald’sRoad,LondonWC1X8RR,UK Radarweg29,POBox211,1000AEAmsterdam,TheNetherlands 30 CorporateDrive,Suite400,Burlington,MA01803,USA 525BStreet,Suite1900,SanDiego,CA92101-4495,USA Firstedition2011 Copyright#2011ElsevierInc.Allrightsreserved Nopartofthispublicationmaybereproduced,storedinaretrievalsystem ortransmittedinanyformorbyanymeanselectronic,mechanical,photocopying, recordingorotherwisewithoutthepriorwrittenpermissionofthepublisher PermissionsmaybesoughtdirectlyfromElsevier’sScience&TechnologyRights DepartmentinOxford,UK:phone(+44)(0)1865843830;fax(+44)(0)1865853333; email:permissions@elsevier.com.Alternativelyyoucansubmityourrequestonlineby visitingtheElsevierwebsiteathttp://elsevier.com/locate/permissions,andselecting ObtainingpermissiontouseElseviermaterial Notice Noresponsibilityisassumedbythepublisherforanyinjuryand/ordamagetopersons orpropertyasamatterofproductsliability,negligenceorotherwise,orfromanyuse oroperationofanymethods,products,instructionsorideascontainedinthematerial herein.Becauseofrapidadvancesinthemedicalsciences,inparticular,independent verificationofdiagnosesanddrugdosagesshouldbemade ISBN:978-0-12-374460-9 ISSN:1936-7961 ForinformationonallAcademicPresspublications visitourwebsiteatelsevierdirect.com PrintedandboundinUSA 11 12 10 9 8 7 6 5 4 3 2 1 Acknowledgements I n the course of preparing this book, a number of people read and commented on the drafts of various chapters; some did so in detail, providing us with invaluable comments, queries and suggestions. Most of these people are busy professional scientists and university teachers, and theirtimeisvaluable.Wethereforegreatlyappreciatethegiftofsomeofit.Inparticular,wethankRam Oren (Duke University, NC), Belinda Medlyn (Macquarie University, NSW), Philip Smethurst (CSIRO, Hobart, Tasmania), Torgny Na¨shlom (Swedish University of Agricultural Sciences, Umea¨, Sweden), Auro Almeida (CSIRO, Hobart, Tasmania) and Richard Waring (Oregon State University Corvallis,OR)whoallreadandprovideddetailedcommentonthedraftofvariouschapters.Aswellas reading and providing comment on chapter drafts, Dick Waring also drew our attention to relevant papers and provided copies of many that we had difficulty in obtaining. Auro Almeida provided comment on drafts and made available data from his work in Brazil, as well as copies of papers we couldnotaccessovertheworldwideWeb.HespentsignificantamountsoftimewithPJSdiscussinghis workanditsimplications.LukeEspreyprovidedcommentonachapterandsomeinsightsintoforestry in South Africa. MikeRyanchecked our statements about some aspects of respiration toensurethat they were consistent with conventional wisdom. Chris Beadle, Dale Worledge and Tony O’Grady (CSIRO, Tasmania) also made available various climatic and soil temperature data, and Vanessa Haverd(CSIRO,Canberra)thedataforonesetofcanopyprofilesshowninFigure2.11.Weacknowl- edge permissionfrom Cambridge University PresstoreproduceFigure9.3fromJones(1992)‘Plants and Microclimate’ as our Figure 2.8, and from Oxford University Press to use Figures 3 and 4 from Cˇerma´ketal.(2007)(TreePhysiology27,pp.181–198)asourFigure7.7.Wewouldalsoliketothank ElsevierandTreePhysiologyformakingavailabletousfreesubscriptionstotheirelectronicresources, supplementedbytheservicesofMessrsGoogleandWiki. vi Preface T his book was originally planned as a second edition of ‘Physiological Ecology of Forest Production’, whichwas published by Academic Press in 1986. Encouraged by friends among the community of tree ecologists, physiologists, and foresters who were generous in their appreciation of the original, I approached Academic Press and we negotiated a contract. Academic Press was, a little later, bought out by Elsevier, but they honoured the contract, and the editors at Elsevier have been patient with our inability to meet the submission date that was originally agreedupon. Myinitialoutlineowedmuchtotheearlierbook,butIwaspainfullyawareofhowmuchprogress had been made in our field in the quarter century that had passed since that was written. This was clearlynotgoingtobearevision,butratheranalmostcompletelynewbook.Itwasalsocleartomethat I needed help: I needed a coauthor who was familiar with the field of physiological ecology and modelling,withparticularreferencetotreesandforests,whohadtheskillsnecessarytomakeupformy shortcomings,andwhowasinterestedandhadthetimetogivetothebusinessofwritingatechnical book.Fortunately,PeterSands,whohadrecently retiredfromtheCSIRO(CommonwealthScientific and Industrial Research Organisation, Australia), met all those criteria. We had done some work togetherandkneweachotherwell,andherespondedpositivelyandenthusiasticallytomyinvitationto joinmeinthetask. Peter had worked with various types of models relating to forestry for many years and had been involved with a number of projects where he provided the mathematical skills needed by biologists, ecologists,andforesters.Hehadrewrittenthesoftwareforthe3-PGmodelthatIhadproducedwith my great friend and colleague Dick Waring from Oregon State University, and that flexible and powerful software has been a key factor in the success of that model, which is mentioned frequently and discussed in detail in this book. The fact that Peter lives in Tasmania and I live in the Blue Mountains in New South Wales was no obstacle to our collaboration: we had broadband internet connections and that is all you need nowadays. In extremis we could resort to the telephone, but seldomneededto.IthasbeenarealpleasureandastimulatingexperiencetoworkwithPeter;thebook wehaveproducedistheresultofacompletelyequalpartnershipandequal,mutual,effort.Therehave beenfewsignificantdisagreementsandthosewereresolvedwithoutstressorproblems. In the preface to the 1987 book, I said that my objective was to demonstrate how a quantitative approach to whole-plant physiology, coupled with some knowledge of the physics of plant environ- ments, allowsus to analyze the way trees grow, and the wayenvironmental factors and management actionsaffectgrowth.Thatobjectivehasbeenextended,inthisbook,toincludeconsiderationofthe modelsthathavebeendevelopedtodescribemanyoftheprocessesthatunderlieandgoverntheway treesgrow.Itisthesemodelsthatprovidethetoolswithwhichknowledgeandunderstandingcanbe translatedintothequantitativepredictionsneededbymanagersanddecision-makersconcernedwith forestproductivity,hydrology,andwaterbalanceorcarbonsequestration. Our target audience is teachers and graduate students in forestry, ecology, and ecophysiology. Althoughour(limited)knowledgeofundergraduatecoursesaroundtheworldintheseandassociated fieldssuggeststhatthetextisprobablynotpitchedatalevelwhereitwillbeusefultoundergraduates, there is no reason why some undergraduate courses should not be able to make use of it. We also hope that the book will be useful to established scientists who may find that the coverage of areas outsidetheir specialtiesisofvalue,andtoforestmanagers whowanttounderstandtheir forestsata deeper level. The book is wide-ranging and, for biologists and foresters unaccustomed to think in vii viii Preface mathematicalterms,thetreatmentofvariousprocessesmaysometimesseemdense.However,wehope you will persevere. The properties and behaviour of many of the equations can be explored in the spreadsheetsandothermaterialonthePHYSECOLWebsiteElsevierestablishedspecificallytoaccompany thisbook,andwherethecodeforthe3-PGmodelcanalsobefoundanddownloadedwithoutcharge. We have had in mind, throughout the writing of this book, the idea that the various (first order) processes that contribute to, and determine, the way trees respond to their environment, and grow, should be considered in relation to the process of growth (biomass accumulation) as a whole. Theindividualbiophysicalprocessesareusuallystudied,asfaraspossible,inisolation,butthegrowth ofatreeisacomplexprocessofinteractionsandfeedbacks,soweneedtoconsiderthesystemaswhole. The framework withinwhichwecan do that isa process-basedmodelthat constitutes an attemptto describe growth in quantitative, mathematical terms. So, all the chapters dealing with individual processes are set within such a framework, and in the second last chapter, we deal in detail with the3-PGmodel. Asalways,withexercisessuchasthis,anumberofpeoplehavecontributedtheirtimeandexpertise to help us avoid factual mistakes and to offer suggestions about matters where our treatment was inadequate. In most cases, these people are busy professional scientists for whom it is not a trivial mattertocommitvaluabletimetoreadingandcommentingondraftchaptersofsomeone’snewbook. Weareverygratefultothosewhodidthis;theyhelpedconsiderablytoimprovetheproductbutbearno responsibility for our mistakes and shortcomings. These friends and colleagues are named in the Acknowledgements, but here I want to thank, particularly, Dick Waring, who not only offered comment, advice, and encouragement, but also did his best to make sure that I kept abreast of the literature. He drew my attention to numerous papers I might otherwise have missed and frequently obtainedandsenttome pdfcopiesofpapersthat Icouldnototherwisegetaccessto. SinceIdo not haveaccesstoalibrary,thiswasassistanceofimmensevalue. It is customary, at this point in the preparation of a book, for the author to thank his family for toleratinglongperiodsduringwhichhewasantisocial,notavailableforfamilyactivities,andgenerally focussedonaprojectinwhichtheyhadnopart.However,thingsareabitdifferentinmycase.Being retired,thewritingprojecthasprovidedmewithanactivitythatkeptmybrainactiveandkeptmein touchwithmyfriendsinthescientificcommunity,whichhasbeenanimportantpartofmylifefor40 years. Mychildren have long since left home and my wife, Diana, is generallyquite happy to see me peckingawayonthecomputer(shehasherown,sothereisnoconflictonthatfront),providedIdonot useitasanexcusetoescapedomesticandgardeningduties.Sheisalwayssupportiveand,althoughshe contributedlittletothisbook,withoutheritwouldnothavebeenwritten. Joe Landsberg ‘Withycombe’, Mt Wilson NSW April 2010 I fully endorse Joe’s comments about our work on this book! It has indeed been a pleasure and inspirational.Aboveall,itwasarealjoytohavetheopportunitytoimmersemyselfinscience,simply for its own sake, free of the need to justify what I was doing to some organisation, and free of organisational politics. Thanks, Joe, for this opportunity! It has also been a pleasure to be on this journey with Joe and to build on our working relationship through the sharing of anecdotes in our lives,thedoingsofourfamilies,andthevariedclimatesofourphysicalenvironments.Therehasbeen farmoretowritingthisbookthanthescienceyouaregoingtofindherein! I came to plant physiology via a ‘sea change’ into mathematical modelling of natural systems in severaldivisionsoftheCSIRO.Thiswasafter10yearsasatheoreticalphysicistdevelopingandapplying techniquestoanalyze—anddesign—opticalimageformingsystemsandtomodeltheeyesofvarious animals.Intheprocess,IbecameabitofaJackofAllTrades—butMasterofNone—invariousareas. My first project in that new phase of my career was a collaboration with Dick Hughes developing a Preface ix model of the population dynamics of that pesky little irritant of the Australian bush: the bush fly (HughesandSands1979).Thiswasmyintroductiontothenatureofbiologicaldataandhowradically it differs from the data captured by physicists and engineers. It was also my first taste of working alongsideabiologist,andIamgratefultoDickformakingthat,too,sucharewardingandpleasurable experience.Atthesametime,myteamleaderinCSIROwasPeterBenyon,amodellerwhohailedfrom weaponsresearch,whotaughtmetheimportanceoflookingatthewholesystem—notjustthebitsthat werethecurrentflavourofthemonth.Peterisnolongerwithus,buthisrespectforotherdisciplines andrigourremainapartofmywayofthinking. Duringthewritingofthisbook,Isuffereddetachedretinasinbothofmyeyes,oneofwhichisstill byno meanssatisfactory. This unfortunate excursioninto the practical aspectsof myearly academic interestsledtotheneedforasignificantextensionofthecontractfordeliveringthisbook.Forthiswe aregratefultooureditorsatElsevierfortheirunderstandingandflexibility. Finally,Iwouldliketoexpressmythankstomyfamily,especiallytomywifeKrista,forhersupport andpatiencewithmy,attimes,annoyinglyone-pointedapproachtolife,andtomygrandchildrenwho havehad a ratherelusiveOldGrumpforawhile. However, Istill hadtotakemyshareof household responsibilities! Peter Sands 39OakleighAv. Taroona, Australia 7053 For thePHYSECOLWeb site, go tohttp://www.elsevierdirect.com/9780123744609 Table of Symbols W edefineherethesymbolswiththeirunits,andcommonsubscripts,asusedinthisbook.All symbols are defined in the text where they are first used, with their units given, and are sometimes redefined—as a reminder—later. We have not necessarily included in this list symbolsthatoccuronlyonceinthebook.Wehavealsolistedgenericsymbols,thatis,withsubscripts omitted,andinseparatelistsbiophysicalconstantswiththeirstandardvalues,andsubscriptsandtheir meaning. The units given are usually the base units, whereas when values are given prefixes are used. For example, the base unit of assimilation rate is molm(cid:1)2s(cid:1)1 but values are typically given in mmolm(cid:1)2s(cid:1)1, and the base unit of water potential is Pa but values are usually given in MPa. Some quantitieshavedifferentunitsdependingontheircontext.Acommonexampleisconductance:ifitisa molarfluxitsunitsaremolm(cid:1)2s(cid:1)1,whereasifitisamassfluxitsunitsare(usually)ms(cid:1)1. Whilewritingthebookwetriedtobeconsistentwithconventionaluseintheliteratureconcerned withenvironmentalphysicsandplantecophysiology,insofarasthereisanyconsensusamongusersin thismatter.However,becauseoftherangeofmaterialcovered,ithasbeendifficulttoavoidusingthe samesymbolorsubscripttodenotedifferentvariablesonnumerousoccasions.Forexample,Hdenotes heat flux in Chapter 2, but is also used to denote stand or canopy height, and a parameter in the temperature response of the photosynthesis model. We have decided to accept this problem because manysymbolsarewidelyusedinparticularcontextsandchangingthemmayleadtogreaterconfusion thandoesduplication! Wealsorelyonacertaindegreeofcommonsenseanduseofcontextwheninterpretingasymbol.For instance,Astandsforanareaandforanassimilationrate,andsubscriptsBimpliesboleorbasalandC canopy.ThusAisleafassimilationrate,A isbasalarea,A iscanopyassimilationrate. B C (a)Biophysicalconstants.Thefollowingarethevaluesofvariousbiophysicalconstantsusedinthetext Symbol Meaning Units Value c Specificheatofdryair Jkg(cid:1)1K(cid:1)1 1004 pa D Diffusivityofwatervapourinair m2s-1 2.4(cid:3)10-5 v g AccelerationduetogravityatEarth’ssurface ms(cid:1)2 9.81 I Solarconstant:averagetotalirradiancenormaltobeam Wm-2s(cid:1)1 1367 SC externaltotheatmosphere M Assumedeffectivemolecular weightofplantdrymatter gmol(cid:1)1 24 DM P Pressureofstandardatmosphereatsealevel kPa 101.3 0 q MJofphotosyntheticallyactiveradiationpermoleof MJmol(cid:1)1 4.6 MJ photons R Universalgasconstant Jmol(cid:1)1K(cid:1)1 8.3145 e Ratioofmolecularweightsofwaterandair – 0.622 g Psychrometricconstant PaK(cid:1)1 66.1 l Latentheatofvaporisationofwater MJkg(cid:1)1 2.45 xi xii TableofSymbols s Stefan–Boltzmanconstant Wm(cid:1)2K(cid:1)4 5.67(cid:3)10(cid:1)8 r Densityofdryair kgm(cid:1)3 1.204 a r Densityofwater kgm(cid:1)3 1000 w (b)Genericsymbols [Q] ConcentrationoftheentityQ molm(cid:1)3, kgkg(cid:1)1 a Ascalefactor,forexampleinallometricrelationships;intercept Various inlinearrelationship A,A ,A Assimilationrate,RubiscolimitedA,RuBPregeneration molm-2s-1 C j limitedA A ,A Standortreebasalarea,maximumstandbasalarea m2ha(cid:1)1, B Bx m2tree(cid:1)1 a Foliageareadensityincanopy m2m(cid:1)3 F A Areaofentity i m2,ha i b Slopeinlinearrelationships Various b Parametersinexpressionforg (i¼1,2,3) Various i cS B Fractionofwaterintissuethatisbound – t C Capacitanceoftissueforwater m3Pa(cid:1)1, kgPa(cid:1)1 C Genericsymbolforconcentration kgkg(cid:1)1, molkg(cid:1)1 C ,C,C CO concentrationorpartialpressure—atmospheric,atleaf molmol(cid:1)1,Pa a s i 2 surface,intercellular C(cid:4) IntracellularCO partialpressureatwhichtheRuBP-saturated molmol(cid:1)1 i 2 andRuBP-limitedratesofphotosynthesisareequal c Genericsymbolforspecificheat Jkg(cid:1)1K(cid:1)1 p C Electricalconductivityofsoil dSm(cid:1)1 S d Apparentreferenceheight m d Characteristicdimensionofleaf cm d Depthofdrysoillayer mm D,D Vapourpressuredeficit,valueofDcharacterisingarelationship kPa 0 withD d,d Genericsymbolforadiameter,diameteratbreastheight cm B D,D,D Diffusivity,ofwaterinsoil,andinsaturatedsoil m2s(cid:1)1 s sat d,d ,d Numberoffrostsinmonth,totaldaysinmonth,rainydaysin daymonth(cid:1)1 F m R month D ,D Decompositionrateoflitter,andofstructurallitter kgm-2yr-1 L s d Dayofyear(1January¼1) – n E Activationenergy—parameterinK(T) Jmol(cid:1)1 E Elasticmodulusofstem Pa E Transpirationrateperunitleafarea molm(cid:1)2s(cid:1)1 e Vapourpressure kPa E,E Rateofevaporation,rateofevaporationfromwetsurface kgm(cid:1)2s(cid:1)1 0 e ParameterineffectofwaterstressonL – C0 cc e Annualaveragecropfactor – Cav E ,E Equilibriumandimposedevaporationrates kgm(cid:1)2s(cid:1)1 eq imp E ,E Rateoftranspirationperunitleafarea,andperunit kgm(cid:1)2s(cid:1)1, L T groundarea mms(cid:1)1 TableofSymbols xiii E Totalevaporationfromsoil kgm(cid:1)2,mm S e,e Actualrateofevaporationfromsoilsurface,potentialrateof mmh(cid:1)1 s s1 soilevaporation E ,E Totalevaporationfromsoilduringphase1,phase2evaporation mm s1 s2 toreducesoilevaporationrateto50% F Fluxofanentity Various f,F Afraction,forexamplediffuseradiationasfractionoftotal – F Weightingfunctioninmixed-specieslightinterceptionmodel – H f Amodifierwhereiissymbolofvariable,forexamplef iseffect – i T oftemperatureongrowthorconductance F Indexofsitefertilityasusedin3-PG – R FS IndexofsitefertilityornutrientavailabilityasusedinPROMOD – G Fluxofheatintostorageinground Wm(cid:1)2 ms(cid:1)1 g Genericsymbolforconductance molm(cid:1)2s(cid:1)1 g ,g ,g , Conductances:boundarylayer,ofcanopy,ofcanopyata ms(cid:1)1 b C Cref g ,g ,g referenceVPDof1kPa,forheat,ofstomata,forvapour H S V g ,g ,g Conductances:boundarylayerofsoil,ofsoilsurfacelayer, ms(cid:1)1 bs Cs Csx maximumvalueofg Cs g ,g ,g , Actualandunconstrained(optimal)canopyconductancein ms(cid:1)1 C Copt Cn g 3-PG,g foropencanopy,species-specificmaximumg Cx Copt C H Enthalpyofactivestate—parameterinK(T) Jmol(cid:1)1 H Treeormainstemheight m h,h Measureofdaylength h,sday(cid:1)1 d H Relativehumidity – r I Genericsymbolforirradiance Wm(cid:1)2 I ,I Irradianceinhorizontalplaneabovecanopyandabove Wm(cid:1)2 0 S0 atmosphere I ,I ,I Irradianceindirectbeam,diffuseirradiance,totalirradiance Wm(cid:1)2 dir dif t I Irradianceonleaf Wm(cid:1)2 l I Amountofrainfallinterceptedbycanopy kgm(cid:1)2,mm R i ,i Fractionofrainfallinterceptedbycanopy,itsmaximum – R Rx J Genericsymbolforflowrateorflux Various J,J ,J Genericsymbolforflux,diffusivefluxrate,massfluxrateof molm(cid:1)2s(cid:1)1 D M nutrients J,J Rateofelectrontransportanditsmaximum molm(cid:1)2s(cid:1)1 max J ,J,J,J Volumeormassflowrateoutofstoragetoxylem,outoffoliage m3s(cid:1)1,kgs(cid:1)1 c f s x (transpiration),fromsoiltoxylem,fromxylemtofoliage J Volumeormassfluxofwaterinsoil m3m(cid:1)2s(cid:1)1, s kgm(cid:1)2s(cid:1)1 K Diffusioncoefficientinair cm2s(cid:1)1 K Genericsymbolforarate Various k Genericsymbolusedinvariouscontexts,ofteninrate Various relationships K Genericsymbolforhydraulicconductivity ms(cid:1)1 K,K ,K Michaelis–Mentenparameter,Kforcarboxylation, Pa C O Kforoxygenation xiv TableofSymbols k,k ,k ,k Lightextinctioncoefficient,effectiveextinctioncoefficient, – eff H R extinctioncoefficientforhomogeneouscanopy,rainfall extinctioncoefficient K ,K Michaelis–MentenparametersforCandNinnutrientuptake kgkg(cid:1)1 C N rate K Turbulentexchangecoefficientforentity i(i¼m,V,H) m2s(cid:1)1 i K,K Hydraulicconductivityofsoilandofsaturatedsoil ms(cid:1)1 s sat L Genericsymbolforalength m L Latentheatflux Wm(cid:1)2 L Leafareaindex m2m(cid:1)2 L Ligninconcentration kg1kg(cid:1)1 L Annuallitterfallrate kgm(cid:1)2yr(cid:1)1 a l Leafareaperunitgroundareainlayeri m2m(cid:1)2 i L ,L,L Nutrient,temperatureandsoilwaterdeterminedLAIindexofa m2m(cid:1)2 N T W closedcanopy L ,L ,L Rootlength,L perunitgroundareaandperunitsoilvolume m,mm(cid:1)2, R RA RV R mm(cid:1)3 L ,L CanopyLAIabovewhichfractionofinterceptedrainfalldoes m2m(cid:1)2 Rx gCx notincrease,andabovewhichcanopyconductancedoesnot increase m Leaftransmittance – M Rateofmetabolicenergyexpenditure Wm(cid:1)2 m Slopeoflinearrelationship Various m,m ,m Opticalairmassofatmosphere,standardairmassandrelative – 0 r airmass m Fractionofbiomassinpooliofanaveragetreeassociatedwitha – i dyingtree n Fractionofradiationincidentonleafthatistransmitted – N Genericnitrogenconcentration kgkg(cid:1)1 n Genericsymbolforapower,forexampleinallometric – relationships N,N Nitrogenmineralisationrate,mineralizationrateofwetsoil kgday(cid:1)1 base N FoliarNcontent kg F N Numberoftreesinastand Trees S N Populationdensity Treesha(cid:1)1 S O Partialpressureofoxygen Pa P Atmosphericpressure Pa p Porosityofsoil – P,P ,P Genericsymbolforproduction,grossP,netP kgtree(cid:1)1, g n tha(cid:1)1 P ,P AmountofCandNinactiveSOMpools kg aC aN p FractionofstembiomasspoolW asbranchesandbark – BB S p ,p Foliage:shootandroot:shootallocationratios(i.e.(cid:1) /(cid:1) ,(cid:1) /(cid:1) ) – FS RS F S R S Q Agenericquantity Various q Genericsymbolforaflowrate Various q Specifichumidityofair – Q,Q GenericsymbolforinsolationoraccumulatedPAR,insolation Jm(cid:1)2day-1 0 abovecanopy

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