Hawkins et al Unvertainty.docx

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HawkinsetalUnvertainty

UncertaintyintheMixed-UnitInput-OutputLifeCycleAssessmentModeloftheUSEconomy

TroyHawkinsa,ChrisHendricksonb,H.ScottMatthewsc

GreenDesignInstitute

CarnegieMellonUniversity

5000ForbesAvenue,Pittsburgh,PA15213USA

atrh@andrew.cmu.edu,bcth@andrew.cmu.edu,chsm@andrew.cmu.edu

Abstract

Bringinginput-outputbasedtechniquesforenvironmentalresearchtoabroaderaudiencerequiresbetterunderstandingandcommunicationoftheuncertaintyassociatedwiththeirresults.Herewediscussuncertaintiesininput-outputlifecycleassessmentmodelsbasedonourexperienceindevelopingtheMixed-UnitInput-OutputLifeCycleAssessment(MUIO-LCA)modelfortheUSeconomy.TheMUIO-LCAmodelextendsthe500sector1997USBenchmarkmakeandusetablesthroughtheadditionofcommoditiesandindustriestorepresenttheflowofcadmium,lead,nickel,andzincinmassunits.Thesesectorsallowexplicittrackingofmaterialflowsandforthecalculationofpollutantreleasesbasedonphysicalquantitiesratherthandollarvalues.UncertaintiesintheUSGeologicalSurveydatausedtocreatetheseaccountsarediscussed.TheeffectoflevelofaggregationontheusefulnessanduncertaintyofIO-LCAmodelsispresentedinthecontextofMUIO-LCA.GuidancerelatingtouncertaintyassociatedwiththeassumptionofaUStechnologymixforimportedmetalsisalsoprovided.UncertaintyintoxicreleasemultipliersbasedontheUSEPAToxicsReleaseInventoryispresentedaswellasadiscussionofthetreatmentofuncertaintyforasetofmaterialusemultipliersbasedonUSGeologicalSurveydata.OurexperiencewithuncertaintyinthedevelopmentoftheMUIO-LCAmodelprovidesguidancefortheinterpretationofIO-LCAmodelresultsandforimprovedtreatmentofuncertaintyinthenextgenerationofIO-LCAmodels.

Introduction

Input-outputtechniquesareincreasinglyusedforenvironmentalpolicyanalysisandenvironmentallifecycleassessment.ResearchersarerealizingthebenefitofIOmodelsinsimplifyingtheanalysisofsupplychainsandreducingthetruncationerrorassociatedwithprocess-basedanalysis.ImprovingtherobustnessoftheresultsofIObasedenvironmentalassessmentsrequiresimprovingourunderstandingofmodeluncertainty.WeofferanassessmentoftheuncertaintiesassociatedwithIOmodelsforenvironmentalassessmentbasedonourexperiencedevelopingtheMixed-UnitInput-OutputLifeCycleAssessment(MUIO-LCA)model.

LiketheEIO-LCAmodel,alsodevelopedthroughtheGreenDesignInstituteatCarnegieMellonUniversity,theMUIO-LCAmodelisbasedontheUSBenchmarkIOAccountscombinedwithadditionaldatarelatedtoreleasesofpollutants,energyconsumption,andmaterialuse.MUIO-LCAextendsthecapabilityofEIO-LCAbyaddingcommoditiesandindustriesrelatedtocadmium,lead,nickel,andzincflows.Metaloutputofthesesectorsaretrackedinmassunits.Theinclusionofadditionalsectorsallowsforexplicittrackingofmaterialflowsandcalculationofmetaluse.LikeEIO-LCA,MUIO-LCAallowsforthecalculationofpollutantreleasesandenergyusethroughoutthecompletesupplychainofanindustry.

Modelpredictionsarenevercertain.Understandinguncertaintyinamodelisimportanttointerpretingitsresults.Thisbecomesespeciallyimportantiftheoutcomestobecomparedarenearoneanotherinmagnitude.InterpretingtheresultsofanIO-LCAmodelisespeciallytrickyduetothelargeamountsofdataandmanyassumptionsonwhichtheresultsarebased.ThecommonguidancegiventothoseinterpretingresultsofEIO-LCAhasbeenthattheyshouldbeconsideredwithinanorderofmagnitudeofthetruevalues.ThroughoutdevelopmentoftheMUIO-LCAmodelwehaveattemptedtotracktheassumptions,errors,anduncertaintiesinvolvedinthemodel.HerewewillusethisexperiencetoprovideguidancerelatedtotheuncertaintyofMUIO-LCA.OurdiscussionalsohighlightsuncertaintiesinEIO-LCAandthe1997USBenchmarkAccountsonwhichMUIO-LCAisbased.

InTable1wepresentanoverviewofsourcesoferrorinIOLCAmodelspresentedinnoparticularorder.Weprovidebriefdescriptionsofthefirst7typesoferrorinthesectionthatfollows.ThefinalthreetypesoferroraredescribedinmoredetailwithspecificattentiontotheMUIO-LCAmodel.

SeveralsourcesoferrorinIOLCAmodelshavebeenillustratedinpreviouslypublishedworks.Itisnotourdesiretoprovideacomprehensivediscussionhere.Ratherwewillfocusoninstanceswhereourexperienceprovidesuniqueinsights.Lenzen('01)providesamorecomprehensivediscussionoferrorinIOLCAmodelstowhichthereadercanrefer.

UncertaintyinIO-LCA

SourceDataUncertainty

Sourcedatauncertaintyreferstouncertaintyintheunderlyingdataonwhichthemakeandusetablesarebased.Inthecaseofthe1997BenchmarkAccountstatisticaltechniquesareappliedtoalargeamountofdatafromtheEconomicCensus,ForeignTradeDatabase,andCommodityFlowSurveytoestimatetheentriesinthemakeandusetables.ResponsestotheEconomicCensusarenotalwaysaccurate.Althoughadjustmentsaremadetoaccountforthis,someamountofuncertaintypropagatesthroughthemodel.Uncertaintyisalsointroducedbysampling,estimations,anddatamanipulation.

EstimationofTransactions

Estimationoftransactionsreferstouncertaintyintroducedbytheestimationofmakeandusetableentries.Thisuncertaintyisstronglyrelatedtosourcedata.Incaseswheresourcedataisverylimited,simplifyingassumptionsmustbemadetoallowtheestimationofinter-industrytransactions.Entriesinthe1997USBenchmarkmakeandusetablesarealsoadjustedtoreallocateproductionofsomesecondaryproductstotheirprimaryindustryandtobalancethetotaloutputsofthemakeandusetables.Commodityproductionandconsumptionarereallocatedfromtoreducetheamountofsecondaryproductsproducedbyindustries.Productionofcertaincommoditiesismovedtotheprimaryindustryandtheconsumptionmixisadjustedaccordingly.Tablesarebalancedbyadjustingtheentriesuntilthetotalindustryoutputandtotalcommodityoutputcalculatedasthesumsofrowsandcolumnsofthemakeandusetablesbalance.Thesequantitiesoftendonotmatchinitiallyduetomisreported,erroneous,ormissingdataaswellasthetimelagbetweenthepurchaseofinputsandtheproductionofgoods.BalancingwasperformedbytheBEAbasedonexpertopinionandcomparisontothe1992account.Remainingdifferencesarecorrectedbyadjustingentriesinothervalueadded(Lawson'02).

ProportionalityAssumption

IOmodelsestimatesupplychainaffectsunderanassumptionofproportionality.Large-scalechangeswhicheffectavailabilityofsupply,augmentationofinfrastructure,orpricesarenotwellrepresentedintypicalIOmodelsdescribedhere.Generallytheimpactoflarge-scalechangesisunderestimatedbyIO-LCAmodels.

Cradle-to-GateTruncation

IO-LCAmodelscaptureonlycradletogateimpactsofaproduct.Thatistheimpactoccurringfrommaterialextractionthroughmanufacturingtothepointofsale.Additionalinformationisneededtoestimatetheuseandend-of-lifephasesoftheproductlifecycle.Thisshouldnotintroduceuncertaintyintoresultsaslongastheuserunderstandstheproperuseofthemodel.Oftenhowever,IOmodelresultsaremisrepresentedastheentireimpactofaproduct.

ChangesinTechnologyorProductionMixOverTime

ChangesintechnologyorproductionmixovertimeareoftennotwellcharacterizedbyIO-LCAaccountswhichrepresentasnapshotofaneconomy.Allofthedatausedarefromaspecificpointintime,1997inthecaseofthe1997USBenchmarkAccounts.Changesaffectingthetechnologystructureoccurevenoveraoneyeartimeperiod.Beyondthis,theresultsofIOmodelsareoftenextrapolatedtorepresentfutureyears.TheUSEconomicCensusisperformedevery5years.TheUSBEArequiresanother5yearstoconstructthemakeandusetables.Thusthemostrecentmodelavailableisoftenbasedondatafrom5to10yearsearlier.Properlyinterpretingmodelpredictionsoftheconsequencesofcurrentdecisionsshouldinvolveconsiderationoftheinfluenceofchangesintheeconomyoverthepast5-10yearsonmodelpredictions.

ModelInputUncertainty

UsersoftheEIO-LCAmodelareofteninterestedintheproductionofacertainamountofagoodsuchasabarrelofoil,alead-acidbattery,oranautomobile.Usingthemodelrequirestransformingthefunctionalunittoadollaramountoffinaldemandinthemostcloselyrelatedsector.Inputsmustalsobeadjustedtoreflectproducer’spricesforgoods(UNDESA'99).Marginsanddeliverycostsshouldbeinputtothemodelasfinaldemandsforretailtrade(4A0000),wholesaletrade(420000),trucktransportation(484000),railtransportation(482000),watertransportation(483000),airtransportation(481000),etc.Allfinaldemandinputsmustalsobeinflatedordeflatedtoreflect1997dollars.

Generallymodelusersaremorefamiliarwiththevaluesofgoodsincurrentpurchaser’sprices.DevelopersofIOLCAmodelsshouldtakethisintoconsiderationwhendesigningtheiruserinterfaceanddocumentation.Ideallyuserswouldbepromptedwithinformationabouthowthemodelinputshouldbedetermined.Consumerpriceindices(CPI)areavailableforinflating/deflatingpricesto1997dollars,howeverthecalculationofCPIitselfintroduceserror.Adjustingafinaldemandinpurchaserpricetoreflectproducerprice,margins,anddeliverycanbedonewiththeuseofatransformationmatrixbasedontheaveragemarginsforacommodity.Thepurchaser-producerpricetransformationmatrixcanbecalculatedusinginformationprovidedintheUSBenchmarkAccountsbasedonintermediateorf

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