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Risk-based principles for defining and managing water security JimHallandEdoardoBorgomeo rsta.royalsocietypublishing.org EnvironmentalChangeInstitute,UniversityofOxford,Oxford,UK The concept of water security implies concern Research about potentially harmful states of coupled human and natural water systems. Those harmful states may be associated with water scarcity (for humans Citethisarticle:HallJ,BorgomeoE.2013 and/or the environment), floods or harmful water Risk-basedprinciplesfordefiningand quality. The theories and practices of risk analysis managingwatersecurity.PhilTransRSocA and risk management have been developed and 371:20120407. elaborated to deal with the uncertain occurrence of harmful events. Yet despite their widespread http://dx.doi.org/10.1098/rsta.2012.0407 application in public policy, theories and practices of risk management have well-known limitations, particularly in the context of severe uncertainties Onecontributionof16toaThemeIssue and contested values. Here, we seek to explore the ‘Watersecurity,riskandsociety’. boundaries of applicability of risk-based principles as a means of formalizing discussion of water security. Not only do risk concepts have normative SubjectAreas: appeal, but they also provide an explicit means climatology,hydrology,statistics of addressing the variability that is intrinsic to hydrological,ecologicalandsocio-economicsystems. Weillustratethenatureoftheseinterconnectionswith Keywords: a simulation study, which demonstrates how water watersecurity,risk,hazard,vulnerability, resources planning could take more explicit account exposure,decision ofepistemicuncertainties,tolerabilityofriskandthe trade-offsinriskamongdifferentactors. Authorforcorrespondence: JimHall e-mail:[email protected] 1. Definingwatersecurity Water security has acquired increasing prominence as a concept and objective in global water policy, though the extent to which it differs from previous framings of globalwaterchallengesisnotalwaysclear[1].Certainly, theoriginaldefinitionintermsofabroadaiminwhich ‘every person has access to enough safe water at an affordable cost to lead a clean, healthy and productive life, while ensuring the environment is protected and 2013TheAuthors.PublishedbytheRoyalSocietyunderthetermsofthe CreativeCommonsAttributionLicensehttp://creativecommons.org/licenses/ by/3.0/,whichpermitsunrestricteduse,providedtheoriginalauthorand sourcearecredited. enhanced’[2,p.12]hardlyseemedtoaddvaluetoexistingglobalwaterobjectives,forexample 2 articulatedintheMillenniumDevelopmentGoals.Yet,subsequentdefinitionshaveincreasingly associated water security with the management of water-related risks. UN Water [3, p. 1] .rs rGinercceooygrpn&oizrSeaattdehsoefpfimr[o5pt,eopcr.tti1ao]nncceofruoopfmlvea‘‘rwaianabtaeilcric-tryeepalatnatdebdlreidslkeisvianesltteohrfesiw’ripantreairtg-srmedlaeatfitiecndsiteritoisonkf,sw’anwadtietrhMs‘eatchsuoenraitv&yaiiCnladabliioclawittyo[ro4sf]. ........ta.royalso .c anacceptablequantityandqualityofwaterforhealth,livelihoods,ecosystemsandproduction’. ...iety IsrniismktphsilnsyoTdtheoefinmnlyeewsIseaseutmeers,sGteorceubyreitecytoanalsg.r[‘u6to,elnpetr.aw3b]iltethawktehaettehlrea-rnfegolauctuaesgdeornoisfkw‘sateotceusr-orricetiylea’t,tyeb’d.uTtrihasiklsssofoabcsruitnsepguspfutohrnethowerrea,ttietcor, ........publishin .g ethmisppiraicpaelr.andoperationalsubstancetotheterm‘watersecurity’,inwaysthatwillbesetoutin ......org .P theRreifsokreisdaessaolsciwatietdhwthiethntahteupreotoefnptioalssfiobrleunudnedseirsairbalbeloeuotucotcmoemsetsoamnadtetrhiaeliirztee.nAdneanlcyysistooforcicsukrs. .....hilTra .n Risk-baseddecisionmakingusesevidenceofriskstoinformindividualandsocietalchoicesabout ...sR whichcoursesofactiontoadoptinfuture.Itinvolvesweighinguprisksandcosts,inthebroadest ..So .c possiblesense,forarangeofdifferentactors. ..A .3 wcdoeinfitIhtnninetthdehneeat)tacqaowunriataleltnixhcgtaeeovnofevfwiasrpaortanaetnmriagesleenactonu.fdrAwittyega,mtievthpre-eonrrefawloalctasuetcdesarlisesrtsea.ustAeposuossnr(coinecpsioatetsteerymndsttsiewamoliltfyh(wahthaarotrievmsreefrqusutblaaaotsneuistntictw,yoaimlnalnebesdestaquosuuasoartcyncoitaomittryeed)as, ...........71:20120407 forhumanhealthandwell-being,theeconomyandthenaturalenvironment.Weareconcerned aboutwater-relatedoutcomesinwhichneedsforwaterservices(topeopleandtheenvironment) arenotsatisfied.Theseareoftentimesassociatedwiththeextremesofthehydrologicalspectrum (droughts and floods) and harmful water quality. Harmful outcomes are a consequence of disastrousevents(the‘water-relateddisasters’oftheUNWaterdefinition[3]),butmayequally well be the result of chronic conditions, for example associated with salinization, hypoxia and waterlogging. Even in the absence of harmful physical aquatic conditions, individuals and communities may risk a shortage of water or sanitation services because of deficiencies of entitlementoraccess. The possibility of harmful states of the aquatic environment (droughts, floods, harmful water quality, etc.) can seldom be eliminated. The notion in UN Water’s definition [3, p. 1] that ‘protection against...water-related disasters’ can be ‘ensur[ed]’ denies the random nature of these events and the unbounded potential for some extremes. Risk management involves weighinglikelihoodsandconsequencesofarangeofpossibleoutcomesandengaginginsocietal discussionofthetolerabilityofrisksandthewillingnesstopayforriskreduction,recognizing thatrisksaresociallyconstructedandthatthereisarangeoffactorsthatdetermineindividuals’ perception of risk [7]. Analysis of other risks to which society is exposed will help to place water-relatedrisksincontextandtoidentifytheappropriatescaleandnatureofresponse. The definition of tolerability of water-related risk is bound to be shaped by cultural and economic contexts and the scale and range of other risks to which a society is exposed. The thresholdoftolerabilitywillnotbeacrispone.Yet,instancesaboundwherethelikelihoodand consequences of water-related risks have stimulated societal and political action, be it to cope withthechroniceffectsofhydrologicalvariabilityontheeconomyofEthiopia[8],thedamaging effectsoffloodsontheMississippi[9,10]orthedegradedaquaticenvironmentinEuropewhich hasledtotheWaterFrameworkDirective[11].Therubricofwatersecurityoffersthepotentialto bothanalyseandgeneralizetheseinstancesofriskmanagement. Intheirdevelopmentofindicatorsofwatersecurity,Lautze&Manthrithilake[1]identifyfive components that they consider to be critical to the concept of water security: (i) basic needs, (ii)agriculturalproduction,(iii)theenvironment,(iv)riskmanagement,and(v)independence. The ‘risk-management’ indicator is associated specifically with ‘prevention of water-related disasters’.Inthispaper,wearguethatriskisthedefiningattributeofwatersecurity,thoughrisk hasmultipledimensions.Thus,eachofLautzeandManthrithilake’sindicescanbetakenasan indicatorofrisk(i)ofnotsatisfyingbasicneeds(forgivenproportionsoftimeandquantilesof 3 the population), (ii) of inadequate agricultural production owing to water-related constraints, (iii) of harmful environmental impacts, and (iv) to the reliability of water supplies from the .rs altehcaetidiorsnttosoloecfroannbesiiligidthye.braotuiorinngofcaoubnrotraieds.raTnhginekoifnwgaotfewr-raetelartesedcurirsiktysaansdthceoanbtesxetn-csepeocfifiinctoevlearlaubalteiorniskosf ........ta.royalso .c Meanwhile,Cook&Bakker[12]identifyfourframingsofwatersecurity:wateravailability; ...iety hstheucemulraaisnttyv)i;sualannbderrsaoubasidltiatcyianttacobhih-laiatlzyl.afrTodrhsea;hfiraursnmtgtaehnroenfeedeoidfffstehr(eedsneetvceisalsonupbemse.erMnetco-arrseetlairtneecdtee,nrwmtlyist,hoBfaantkokeleemrraphbhaleassraiisdskvo,nowcfaohtoeildde ........publishin .g aphryisskic-baal,saedndfrmamedinicga,lasrcgiuenincgest,haantd‘thisehceonncceepctomofpraistikblieswdeipthloaynedinatcerrodsissctihpelinbaiorylogapicparl,oasochciatol, ......org .P anaAlyssiwnegsweaetkertosedceumriotyn’s.trateinthispaper,watersecurityprovidesthebasisfordevelopment .....hilTra .n ofgeneralframeworksformeasuringandmanagingwater-relatedrisks.Webeginbyanalysing ...sR inmoredetailthetheoreticalandempiricalmotivationsforthinkingofwatersecurityinterms ..So .c ofrisk.Wegoonalsotoidentifysomepracticalattractionsofthisapproach.Wethenformalizea ..A .3 dppsoereorfiwspnpeoietspiceotrdniovvfoeoisfdrredoisfeakvnd,eaiilfnopfeppprmlaeincretatnitctiauooclnftaoriinrnfsdotichicnueastcwionoragnstteouerfxpwtoreonasftoteahurewrscemaectsuuerrlstiyirt-yesa.stteoTtmruhirbesc.uretiAsseksny-rbaissattukesm-erbed.aodsTfeehdrfieinsafkirptaiapomnlnideciwastthotihoerknemoniruseeltittiaichplaseloler, ...........71:20120407 deals with all dimensions of water-related risks, nor does it explore different actors’ attitudes torisk.Itdoeshoweverdemonstratehowdifferentsourcesofuncertainty,includingthesevere uncertainty in the outputs from climate models, can be incorporated in risk-based planning decisions.Weaddresssomeofthecriticismsofarisk-basedapproachbeforeconcluding. 2. Whyfocusuponrisk? (a) Theoreticalandempiricalobservations While market values of water are typically lacking [13], theory and simulation studies yield decreasing marginal values [14–16]. Water users and managers tend to be concerned with avoidingundesirableshortages(orindeedextremefloodflows)uptoapointwhenasatisfactory quantity of water is assured and the marginal value of water declines. In other words, water usersareconcernedabouttheriskofwater-relatedneedsnotbeingsatisfied,ratherthanabout maximizingconsumptionofwaterresources.Eventhoughinmanycountriesthemarginalcost of domestic water supply is at or close to zero, domestic demand for water does not increase inanunboundedway.Thereisalimittothenumberofcropsthatfarmerscancultivateinany given year, so again their need for water is bounded and their concern is with water scarcity threateningtheirobjectivesforagriculturalproduction.Similarly,inrelationtowaterquality,the focusisuponachievingacceptablewaterqualitystandardswithinthecontextofgivenusesand environments,ratherthanuponachievingthebestpossiblewaterquality.Theconcerniswiththe riskofstandardsnotbeingsatisfied. Thereareusesofwaterthatwillcontinuetoyieldbenefitinamoreorlessunboundedway. Inelectricitymarketswherehydropowersubstitutesforlargerelectricitysupplieswithahigher marginalcost,hydropowergeneratorscanalwayssellelectricity.Decisionmakersmaywellwish tomaximizethesebeneficialoutcomes,butwedonotregardthisasameanstoachievingwater security(thoughitmaybeameanstoachievingenergysecurity).Indeed,itmaybeathreatto watersecurityifhydropowergenerationincreasesthewater-relatedriskstowhichotherpeople andtheenvironmentareexposed. It seems that water users are more concerned with satisfying an acceptable level of water- related risks rather than maximizing returns. In an empirical study of 22 case studies of water resourcesplanning,Rogers&Fiering[17]identifiedlimiteduseofoptimizationtechniques.On contribution of 4 water to growth water and growth S-curve .rs s‘ewcuatreer’ dceovuenlotrpiiensg incteorumnterdieiaste dceovuenlotrpieesd .......ta.royals .o .c ‘tipping ...iety ‘pwoaitnetr’ ........publishin .g insecure’ .....org cumulative investment in water ..P infrastructure and institutions .....hilTra Figure1.ThewatersecurityS-curve[5].(Onlineversionincolour.) ..ns ..R .S .o .c ..A .3 tdtShhiemaecniocsoninonendtcsreeasstrchsyraa,irbtdielmyrdaaowaxpsiimnt‘isgmaiztiueizspifi‘ntochgnienotgphv’reeborebwahalloabrpviklieiotryoufofro.rSfmRiamoacbnohucniees.vt[1isTn8ahg]t,iissatfihciscceieyntphgpteairsbaoplpmeproo(rstomaeatocirshtoefbadtcuotisondtremywc)ioasortieeuortnccomomnmataneekmasig’npergoamrtthaherneayrtt ...........71:20120407 analysis of water resource management in the context of a changing climate [19–21]. Robust satisficing responds to the often severe uncertainties to which decision makers often find themselves exposed, by proposing that under such conditions decision makers should seek options that satisfy minimum performance requirements under the widest range of future conditions,ratherthanseekingtooptimizeaparticularperformanceobjective[22]. Parallelingthesearguments,atamacro-economicscale,Grey&Sadoff[5]identifyalevelling offininvestmentinwaterinfrastructureandinstitutionsthataccompaniesatransitiontowater security (figure 1). In ‘water insecure’ societies, water-related risks are intolerably high and inhibit growth. As a consequence, resources for investment and institutions and infrastructure tomanagetherisksareconstrainedandthesocietiesare‘hostagetohydrology’.Whenresources are made available to manage water-related risks, the marginal benefits are high and risks are rapidlyreduced.Asrisksgodown,themarginalcostperunitofriskreductionincreases,anda pointisreachedwheretheS-curveflattensoff:largenewinvestmentsarenotjustifiedbecause water-relatedrisksaretolerablylow—thecountryis‘watersecure’.Thestorydoesnotendthere however,asinstitutionsandinfrastructurecanandwilldeteriorateifnotmaintained,expectations with respect to risk to people and the natural environment are dynamic and the climate is changingmeaningthatsocietiesthathadperceivedthemselvestobewatersecurearenowfacing newthreats. ResearchbytheJapanWaterForumandtheWorldBank[23]illustratesthistransitioninJapan. ObservethisintheplotofdeathsversusfloodcontrolinvestmentinJapan(figure2).Flooding, causedbyheavyseasonalrainsaswellastyphoons,hadmajoreconomicimpactsinJapanwhile the country was recovering from World War II. Flood damages occasionally exceeded 10% of grossdomesticproduct(GDP),andin1959TyphoonIsewanresultedinthedeathof5159people. The risk to this rapidly growing economy was unacceptable and, from 1950 to 1975, some (cid:2)2 trillion was invested in river infrastructure (similar to the investment in railways). Since the 1970s, the impact of flood on the Japanese economy has not exceeded 1% of GDP in any year. Theaverageannualdamageisroughly0.1%ofGDP.Thisfigureisreflectedelsewhere:theIPCC’s Special Report on Extreme Events [24] (SREX) reported climate-related damages from extreme events(ofwhichhydro-meteorologicalrisksarethelargestcontributor)of‘lessthan0.1%ofGDP for high-income countries...during the period from 2001 to 2006’. Underlining the Grey and SadoffS-curve,SREXreportedlossesof1%ofGDPformiddle-incomecountries,whichhavehigh economicvulnerabilityandunder-developedriskreduction,whilethisratiohasbeenabout0.3% no. people killed Soil Conservation and the Flood Control Urgent Measures Act flood control investment 5 and missing by flood Flood Control Special Account Act (100millions of yen) 6000 40000 Typhoon Isewan 54000000 pfleooopdl ec okniltlreodl ainnvde mstmisseinntg by flood 332505000000000 ..........rsta.royalsoc 3000 athmee Rnidvmere nLta two 20000 ....ietyp 2000 1150000000 ........ublishing 1000 5000 .....org . .P 019021904190619081910191219141916191819201922192419261928193019321934193619381940194219441946194819501952195419561958196019621964196619681970197219741976197819801982198419861988199019921994199619980 ......hilTran .s year ..R .S .o Figure2.FlooddamagesandfloodcontrolinfrastructureinvestmentinJapan[23]. ...cA .3 .7 othfeGIynDaaPrenfsoaornplaoolwyosr-i,isnbcouoftmhwiegactheorhu-urnemtlraiaetnesdvwurhilsnickehsrahtbhairvloietuyl.gohwtehceonleonmsiocfvBuelncker’sab[i2l5it]yRiniskGSDoPcietetyrm, Aslblaenca[u2s6e, ..........1:20120407 p.3]notedhow‘extremenaturaleventstendtoachieveanexceptionalconvergenceofawareness onthepartofmajorandminorwaterusers,aswellasonthepartofpolicymakers,legislators andofinfluentialagents,forexamplethemedia’.Extremeeventsopen‘policywindows’[27]in which policy imperatives and opportunities exist to respond to risks. This was the case in The Netherlandswherethe1953floods(inwhich1836peopledied)stimulatedthemajorprogramme of Delta Works, which was completed in 1997. However, as we have already noted, changing societalexpectationsandachangingclimatecanstimulatere-evaluationoftolerablelevelsofrisk, whichtookplaceinTheNetherlandsintheworkoftheDeltacommissie[28],whichadvocateda 10-foldincreasedstandardofprotectionagainstflooding.Astheeconomiccaseforsuchahigh standardisatleastquestionable[29]andDutchsocietywashardlyclamouringforareduction in risk (which is already so low as to be imperceptible to most citizens), we may speculate as to why further investment of AC3bn per year was advocated. At a time when global business confidenceissoweak,aboldstatementofwatersecuritythatTheNetherlandswillbeopenfor business‘comewhatmay’wasperhapsmoreaimedattheinternationalinvestorcommunitythan atdomesticaudiences. The empirical cases in this exploration of the relationship between water risk and decision making have focused upon flooding (in Japan and The Netherlands). Flooding is a tractable case because the impacts can be relatively readily defined in economic terms and the costs of mitigationarelargelyincurredbygovernmentssotendtobeavailable.Grey&Sadoff[5]provide narrativesofthewatersecuritytransitioninthecontextofawiderrangeofwater-relatedrisks, including drought risks to agriculture and salinization, with instances of countries at different stagesofdevelopment.Ineachofthesecases,weobservehowchoicesandoutcomesatamicro- and macroscale can be explained in terms of water-related risks and management response tothem. (b) Operationalizingwatersecurity Having advanced some theoretical and empirical motivations for thinking of water security in terms of risk, we now examine how a risk-based definition of water security can be helpful inpracticalterms. Risk brings particular focus to water management problems because it is concerned with outcomesthatwevalue.Analysisofrisksprovidesessentialevidencetoenablechoicesbetween alternativecoursesofaction.Inthatsense,riskisforward-looking,usinganalysisofrisksnow 6 andinthefuturetoinformdecisionmaking.Specifically,andcrucially,riskrelatesthepotential forachosenactionoractivity(includingthechoiceofinaction)toleadtoundesirableoutcomes.It .rs trshiysusktsse.pmIrtso?vb’eidOgesrstcthohenevqbeuaressisestliyfoon‘rHd‘Woewchidamtinuigschuitpiwsonoarnftuhitmutorperroaecvdteuiomcneesnt,htweiintrhiwstkhasteeaarsissmoeccoiuafrtmietdyanwwaoigtrihnthgw(wactoaemtreprr-earseroelaudtrectdoe ........ta.royalso .c other pressing needs)?’ [4]. It does imply the need to value undesirable outcomes, which in ...iety cYeoxenpt,toteshseeteordbejqseeucttitriivenmegsseaannntddtocsoietnxupsatltroiaoriennsttshoetfhctaootlmemrpaalbeyixlniittoyytaobnfedraissrketivsceuisrleactuoenndcs.terrutacitnivtyeiisnbitosuonwdntoribgehpt,rohbellepminagtitco. ........publishin .g tomThaenafgoerwriasrkds-lboeofkoirnegdnisaatsuterersoafcrtuisakllpyrmovaitdeersiatlihzee.bWaseishfaovrepnrootmedottihoantodfisparsotearcstiavreesotrftaetnegtihees ......org .P satnimdusloucsieftoarlproaltiitoicnaalleacftoiornrteodruecdinugcerriisskk,bbeufotrreiskaadniaslaysstiesrcoacncbuersu.sIendsttaonpcerosvoidfeththiseepcroonaoctmiviec .....hilTra .n approachare,anecdotally,rare,thoughthatmaybebecausetheyhaveresultedindisastersnot ...sR occurringsoareunderreported.However,theDutchDeltacommissie,mentionedabove,couldbe ..So .c taken as an instance of a proactive risk-management strategy. The Deltacommissie’s work also ..A .3 oiclhrluiaeAsnntgrtfeaoedtsceuasasnphudpoprpwoolnaaancchhtreiiomssikcteeolfsyrwaarmneasdtiepnorogunistcsscaeuonsmetsboe,esnthdouoitssasetebdinlcyghtouainnitsthgheeigensrsk.aatierndistkwh-ebaatlesorendrgepsteoerursmrpceeacsbtimovueatnfrafougmteumoretehn(eutrn(pIcWreorRctaeMisns)-). ...........71:20120407 Proponents of IWRM [30] have argued how inclusive and flexible processes are essential to managing the multiple demands placed upon water resources. Water security complements IWRMbyarticulatingthewater-relatedoutcomesthatareofmostconcerntodecisionmakers. ItisarguedthatIWRMprovidestheprocessthroughwhichthedimensionsofwatersecuritycan beaddressedtogether[31]. Definitions of risk incorporate some combination of likelihood and consequence of sets of possible outcomes as being a basis for decision making [32]. Inherent therefore is the notion that there is a range of possible outcomes (some of which may not even be foreseeable [33]) andtheoutcome(s)thatwillinpracticematerializecannotbepreciselyforecast.Thisemphasis uponunpredictability(atleastindeterministicterms)isparticularlyconstructiveinthecontext ofwater-relatedhazards,becausenaturalvariability,ontimescalesfromminutes(e.g.forflash floods) to decades (e.g. for groundwater reserves), as well as in space, is such a distinguishing characteristic of water resources systems. Risk analysis encourages us to think about a whole range of possible future conditions, from the everyday to the extremely unlikely. Analysis of hydrological variability has long formed the basis for water resources management decisions, forexampleinrelationtoinfrastructureplanningandoperation[34,35].Arisk-baseddefinition ofwatersecurityembedsthemanagementofvariability(andassociateduncertainties)attheheart ofwaterpolicy. Traditional engineering approaches to dealing with variability have sought to identify a ‘designcondition’(forexample,areservoirstoragevolumeoradikecrestlevel)anddesignto meetthatcondition[36].Arisk-basedapproachinvolvesconsideringthefullrangeofconditions to which a system might be exposed, including those that exceed the ‘design condition’. This places a focus upon system response to extreme conditions and the capacity to recover, i.e.resilience.Attentionisdrawntothemodesbywhichsystemsmayfailandwhetherfailureis catastrophicor‘graceful’.Warningsystemsandemergencyreliefhavebeenrecognizedasintegral aspectsofthesystemicmanagementofrisks. Arisk-basedperspectiveequallyemphasizestheprobabilityandtheconsequencesofharmful events. It thus provides a mechanism to analyse the effectiveness of risk-management options designedtoreducetheseverityoftheaquatichazardandtoreduceexposureandvulnerability, the two factors which determine our ability to manage or adapt to hazards. Following SREX [24,p.3],wethinkof‘vulnerability’asthe‘propensityorpredispositiontobeadverselyaffected’, inotherwordsthesensitivityofthesystemtobeadverselyaffectedbyahazard.The‘exposure’ is the ‘presence of people; livelihoods; environmental services and resources; infrastructure; or 7 economic, social, or cultural assets in places that could be adversely affected’. Thus measures to reduce vulnerability, through the development of coping or risk-sharing strategies (e.g. .rs ibtnoasseuecrdoanfnrocamem)i,ceowdrioesrxakpd.ovPsaounprtueagl(aeet.iogor.ntlshatcrhokauotgfaherenlatdintidlseamudsveeannzt,toaangrieendrge)igncaatrhndeebidreaarcsecabedesisilnytgoapwpaparrtteaicri,usfeloadrrlweyxivathmuilnpnletehraoebwrlieisn.kg- ........ta.royalso .c While risk provides a mechanism (via probabilities) for incorporating variability into ...iety mpcaranonbaaalgsboeilmiintyeflndutiesdntrceiecbitushitoeionvnsu,slinwneefruaabturielrietaymlsaaonydcboeexnpdceoifrsfneuerredenttaofbhrooaumztatrphdreso,ocfenoserseiemxsapomlfipecdlhebatyhnrgooebu,sgewhrvhsaioctcihoionm-se.ecCoannhoatnmhgaiect ........publishin .g cchhaannggeesi.nAfuwtuerlel-adnedfintoedteastntahlyessiesnosfitrivisiktysocfandebceisisocnrusttionipzoedtentotiaidlfeunttuifryecthhoasnegefasc[t3o7r]s. that may ......org .P estaAbsliswheedha[3v8e],atlrheoaudgyhidtheenitrifiuepdt,akrieskin-bpasreadctinceothioanssboefenwpataetrchryes[o1u7r]c,ebsomthainnagsceompeenatnadrescwaelell. .....hilTra .n Floodriskmanagementisnowtheprevailingparadigmforrespondingtofloods[36,39].Inwater ...sR resources,thescopeofapplicationhasbeenrathernarrow,forexamplefocusinguponreservoir ..So .c optimization[40–42].Here,ouraimsaremuchmorebroadbased,seekingtodemonstratehow ..A .3 c3o.ncFeoprtmsoaflriizsikncganthunedreirspkindaefimnuilttii-oanttributedefinitionofwatersecurity. ...........71:20120407 Weconsidersomeappropriatespatialscaleofanaquaticsystem.Itneednotbeself-containedin aquaticterms:therewillbefluxesovertheboundary.Thesystemwillalmostinvariablyhavebeen modified,oftenprofoundlyso,byhumaninfluences.Thesystemisdefinedintermsofavectorof statevariables,w(t),wheretdenotestimedependency,whichdefinetheaquaticattributesofthe system:storagevolumes(aboveandbelowground),waterlevels,flows,waterqualityindicators, soilmoisturecontents,precipitationandsoon. DrawingupontheconceptualframeworkproposedintheMillenniumEcosystemAssessment [43], we define a set of water-related services that the aquatic system performs, which are associated with constituents of human well-being. Aquatic systems are dealt with extensively intheMillenniumEcosystemAssessmentandarerecognizedfortheirroleinprovisioningwater for use domestically, in agriculture and industry, regulating floods and assimilating waste and culturalservices,forexamplerecreation. Theattributesathatarevaluedintheaquaticsystemareafunctiongofasubsetofthesystem states(whichmayincludeantecedentconditionsaswellas,orinsteadof,thepresentstate)anda series of time-dependent auxiliary variables, x(t), which determine the human and biophysical factors that go together with the aquatic system state variables to determine the ecosystem servicesthattheaquaticsystemprovides.Eachattributeinthevectoraiscalculatedasafunction ofthesystemstateandauxiliaryvariables.a(t)maybeafunctionofpast(timet−n)aswellas i present(timet)systemstates—itmay,forexample,besensitivetocumulativeeffects.Thus, a(t)=g(w(t−n,...,t),x(t−n,...,t)). (3.1) i i Theseattributesathatarevaluedintheaquaticsystemmightinclude — thefrequencyofwatershortagestodomesticorindustrialwaterusers, — thefrequencyofviolatingwaterqualitystandards, — countsofaquaticspecies, — theoutputofirrigatedagriculturalland,and — thedistributionofflooddamages. We note that the relative influence of aquatic variables w and auxiliary variables x upon these outcomes varies. We also note that the function g can be applied to future (uncertain) system i states,toestimatewhichoutcomewouldbeassociatedwithagivenvectoroffutureconditions. (a) 8 .rs Fa()i .......ta.royals 1– .....ociety .p .......ublishin .g no. households flooded in a given year (a) ......org i .P .h (b)70 rivers lakes ....ilTra .n .s 60 ..R .S .o 50 ...cA .3 .7 % 432000 ..........1:20120407 10 0 high good moderate poor bad WFD ecological status Figure3.Examplesofsummaryrepresentationsofwater-relatedattributesforpopulationsofactors.(a)Householdsflooded. (b)EcologicalstatusofriversandlakesinEngland.(Onlineversionincolour.) Giventhevariationintimeofwandx,thecorrespondingvariationinamaybedescribedbya jointprobabilitydensityfunctionf(a).Wecanthereforecalculateexpectationsofa orprobabilities i ofa exceedinggiventhresholds,forgiventimeframes. i Attributesmaybedisaggregatedwithrespecttodifferentactorsinthesystem:someresidents maygetflooded,othersmaynot;somefarmersmayhavewaterforirrigation,othersmaynot. Particularlyinformativearefrequencydistributionsofthenumbersofactorswhodo,ordonot, satisfysometargetforawater-relatedattribute(figure3). Computing probability distributions of attributes across actors requires information about the dependence between outcomes for different actors. Large-scale events, for example major droughts, which impact upon multiple actors, are often highly correlated with space and time. The incidence of correlated risk is of particular interest from the perspective of national governmentsconcernedaboutwatersecurity,orinsurerswhomaybeprovidingcoverforwater- related risks. Understanding spatial correlation is essential to understand how risks aggregate with spatial scale. Countrywide risk estimates may conceal smaller locations of high risk, in particularwhenpopulationsareconcentratedinareasofhigherrisk(figure4).Bythesametoken, tolerabilityofriskwilldependonthesizeofpopulation,withsocietiestendingtobeaverseto verylarge-scalelossestopeople[44]. Actors associate utilities with water-related attributes a. Their utilities will reflect both their preferenceswithrespecttodifferentcombinationsofattributesettingsandtheirattitudestorisk. This is only usually practical if it is possible to obtain a representation of the utility function suchthat u(a1,...,an)=h(h1(a1),...,hn(an)), (3.2) 40 9 6-min grid %) ? .rs population (20 30-min grid ............ta.royalsociety 0106 country 104 102 1 ........publishin .g average element area (km2) .....org . Figure4.WaterstressinAfricaaspercentageofthepopulation,computedwithincreasingresolution[4].(Onlineversion ..Ph incolour.) ....ilTra .n .s ..R .S .o .c wherehk isafunctionofattributeak onlyandwherehhasasimpleform,forexampleadditive ...A3 oimhmraaspmrgobuirentleataninlptdulicitchsialcaitutiryvsasecae.tnedNdriaosrbtniioscekvstheoa,evflrewearstasshit,oeearnrwcf(eufihnngitccurtharieollent5oaa)d.loTtfuoohrreamdrseiifisgoknnf-iibtfithiacoisasnendtocyeffprwoaemfaddtieonerecgsrsoeeeafcnsuwairnabigttlyeemriusnaesrtcgetuoirrnmirateyslp:uordtfeielstcioetrnyleetarissat,iwbnalgoes ...........71:20120407 risk, and has long been regarded as a defining (and, for Adam Smith, puzzling) characteristic ofwater[16].Riskaversion,inparticularinrelationtolow-probability–high-consequenceevents, helpstoexplainwhygovernmentscontinuetoinvestincostlyhazardmanagementschemes,even whentheexpectedriskisrelativelylow[16]. Risk-based decision making involves choices between alternative courses of actions on the basis of their benefits in terms of risk reduction and their costs, aggregated through time over some appropriate time horizon. All of these costs and benefits are aggregated into the utility functioninequation(3.2),whichthenprovidestherationaleforestablishingapreferenceordering overalternativecoursesofaction. Although complete and coherent as an approach to decision making, two significant reservationsshouldbenotedatthispoint.Thefirstisthepracticaldifficultyofelicitingutilitiesin practicalsettings[45].Inpractice,theeconomicbenefitsofwaterservicesmaybequitediffuse and embedded in many aspects of economic value, so are difficult to unravel [16]. Secondly, the preference ordering of options may be sensitive to uncertainties in our understanding of thesysteminquestionandtheutilitiesassociatedwithit.Severalauthorshavehighlightedthe importanceofexhaustivesensitivitytestinginordertoidentifydecisionsthatareasfaraspossible robusttouncertainties[37,46–48]. 4. Aframeworkforindicatorsofwatersecurity Riskisnotanobservablequantity,soifwebaseadefinitionofwatersecurityuponrisk,itmeans that water security is not directly observable. This presents a problem if we wish to develop indicators that will track risk through time and demonstrate the effectiveness (or otherwise) of adaptations that are intended to reduce risk. A complete picture of risk can be constructed fromacompositesetofindicatorsthattrackthevariousfactorsthatcontributetorisk(figure6). Indicatorsofhazardwillincludethefrequencyofhydrologicalextremes,harmfulwaterquality and so on. They may extend to indicators of deliberate water security threats such as terrorist attack or dependence on hostile neighbouring nations. Indicators of exposure relate to the numbers of exposed populations, businesses, species, etc. Indicators of vulnerability relate to thesensitivityofspeciesandthecopingcapacityofindividualsandcommunities.Acomposite oftheseindicatorscanbeusedtotrackchangethroughtimeandelucidatethefactorsthatmay influenceorexplainchange. (a) 10 .rs uautility, ()i ....................ta.royalsocietypublishin .g .....org . .P .h ....ilTra .n .s quantity of water available for use (a) ..R i ..So .c ..A (b) ..37 ..........1:20120407 a)j u( y, utilit s,0 probability of flooding P(a=1) s,1 ur= j ur= caj caj od oc0 i.e. od oc1 i.e. o flo1)= flo1)= n= = aj aj P( P( Figure5.Utilityrepresentationofsignificantcharacteristicsofwatersecurity.(a)Decreasingmarginalvalueand(b)risk aversion. indicators of hazard e ng risk impacts a at present of ch and in future in the past s indicators of ver vulnerability and dri exposure Figure6.Componentsofrisk-basedindicatorsofwatersecurity.Observablequantitiesarehighlighted.(Onlineversionin colour.)

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