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Highlighting the Role of Groundwater in Lake– Aquifer Interaction to Reduce Vulnerability and Enhance Resilience to Climate Change

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A method is presented to analyze the interaction between groundwater and Lake Linlithgow (Australia) as a case study. A simplistic approach based on a “node” representing the groundwater component is employed in a spreadsheet of water balance modeling to analyze and highlight the effect of groundwater on the lake level over time. A comparison is made between the simulated and observed lake levels over a period of time by switching the groundwater “node “on and off. A bucket model is assumed to represent the lake behavior. Although this study demonstrates the understanding of Lake Linlithgow’s groundwater system, the current model reflects the contemporary understanding of the local groundwater system, illustrates how to go about modeling in data‐scarce environments, and provides a means to assess focal areas for future data collection and model improvements. Results show that this approach is convenient for getting first‐hand information on the effect of groundwater on wetland or lake levels through lake water budget computation via a node representing the groundwater component. The method can be used anywhere and the applicability of such a method is useful to put in place relevant adaptation mechanisms for future water resources management, reducing vulnerability and enhancing resilience to climate change within the lake basin.
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Hydrology2017,4,10;doi:10.3390/hydrology4010010
www.mdpi.com/journal/hydrology
Article
HighlightingtheRoleofGroundwaterinLake–
AquiferInteractiontoReduceVulnerabilityand
EnhanceResiliencetoClimateChange
YohannesYihdego
1,2,
*,JohnAWebb
2
,andBabakVaheddoost
3
1
SnowyMountainsEngineeringCorporation(SMEC),Sydney,NewSouthWales2060,Australia
2
EnvironmentalGeoscience,LaTrobeUniversity,Melbourne,Victoria3086,Australia;
john.webb@latrobe.edu.au
3
HydraulicLab.,IstanbulTechnicalUniversity,Istanbul34467,Turkey;babakwa@gmail.com
*Correspondence:yohannesyihdego@gmail.com
AcademicEditor:AbdonAtangana
Received:22December2016;Accepted:8February2017;Published:13February2017
Abstract:AmethodispresentedtoanalyzetheinteractionbetweengroundwaterandLake
Linlithgow(Australia)asacasestudy.Asimplisticapproachbasedona“node”representingthe
groundwatercomponentisemployedinaspreadsheetofwaterbalancemodelingtoanalyzeand
highlighttheeffectofgroundwateronthelakelevelovertime.Acomparisonismadebetweenthe
simulatedandobservedlakelevelsoveraperiodoftimebyswitchingthegroundwater“node“on
andoff.Abucketmodelisassumedtorepresentthelakebehavior.Althoughthisstudy
demonstratestheunderstandingofLakeLinlithgow’sgroundwatersystem,thecurrentmodel
reflectsthecontemporaryunderstandingofthelocalgroundwatersystem,illustrateshowtogo
aboutmodelingindatascarceenvironments,andprovidesameanstoassessfocalareasforfuture
datacollectionandmodelimprovements.Resultsshowthatthisapproachisconvenientforgetting
firsthandinformationontheeffectofgroundwateronwetlandorlakelevelsthroughlakewater
budgetcomputationviaanoderepresentingthegroundwatercomponent.Themethodcanbeused
anywhereandtheapplicabilityofsuchamethodisusefultoputinplacerelevantadaptation
mechanismsforfuturewaterresourcesmanagement,reducingvulnerabilityandenhancing
resiliencetoclimatechangewithinthelakebasin.
Keywords:lake–groundwaterinteraction;waterbalance;wetland;ecosystem;hydrology;climate
change;adaptation
1.Introduction
Whenwaterdemandexceedswateravailability,waterscarcityisinevitable.Climatechange,
populationgrowth,andeconomicdevelopmentaddtowaterscarcityrisksmainlyinaridregions[1–6].
Concerteddatacollectioneffortsareusuallylackingindevelopingcountries,especiallywhenit
comestogroundwatersystems.Manylakestudiesencountereddifficultiesinestimatinggroundwater
ordefiningaplausible,appropriateconceptualmodeloftheaquifersystemathand[7–11].Prudent
understandingofthe(ground)watersystemformsamajorinhibitingfactorforeffectivewater
management.Watermanagementbasedonsuchmodelsmayhaveunintendedorevendetrimental
consequences.
Wetland’simportancehasbeenrecognizedbytheRamsarconventionduetothepossible
impactsitmayhaveonpeopleinthenextdecadesandhowitsconservationcanamelioratepoverty
conditions.Recentresearchhasbeendonetoassesstherelationshipbetweengroundwaterand
surfacewater,duetothedependabilityofecosystemsongroundwatercontributions[12–16].The
pressureongroundwaterresourcesbytheseactivitieshasalertedtheinterestofenvironmental
Hydrology2017,4,10 2of18
authorities,whoneedtoassessthehydrodynamicbetweenwetlands,adjacentgroundwater,and
surfacewater[17–64].Manyactivitieshavebeencarriedouttovalidatethehydrogeological
conceptualmodelinthewetlandvicinity.Agroupofobservationwellsinstalledaroundthewetland
hasenabledtheassessmentthroughnonlinearDarcy’sexpressiontoapproximatevolumesof
rechargeanddischargefromtheaquifertothewetland.
Groundwaterisimportantforunderstandinglakesystemsduetoitsinfluenceonalake’swater
budget,nutrientbudget,andacidbufferingcapacity[21,22].Asaresult,groundwaterflowstoand
fromlakeshaveoftenbeenestimatedusingsimpleflowgridsandonedimensionalDarcian
calculations.Groundwaterinteractionwithlakescanbespatiallyandtemporallyvariable,however.
Otherwaterbalanceapproacheshavealsobeenusedthatemployedarepresentativegroundwater
headunderneaththelakeforcalculatingthefluxovertheentirelakearea.Themostsophisticated
wayofinvestigatinglake–groundwaterinteractionsisbyexplicitlyincludinglakesingroundwater
flowmodels[10,28–30].Waterresourcesmanagersrelyontoolsthatassistwithstreamliningsupply
anddemand[25–27,31,49].
Modelinglake–aquiferinteractionisanessentialmilestoneinlimnologicalstudies[32].
Groundwaterisoneofthemostimportanthydrologicalvariablesofthewaterbudgetinlakes;
however,thisvariable,duetoitsnature,cannotbeaddressedwithoutuncertainties[32,33].Many
scientists,however,havetriedtomodeltheinteractionbetweengroundwaterandsurfacewater
usingvariousstatistical,conceptual,orempiricalmodels(e.g.,Lohman[34];Edelman[2];Lewiset
al.[35];Postetal.[36];Jakovovicetal.[37];Yihdegoetal.[38]).
Theroleofgroundwaterinwetlandwaterbudgetisofgreatconcerntoecologists,water
managers,andenvironmentalscientists[39].Groundwateriscriticalforunderstandingmostlake
systemsbecauseitinfluencesalake’swaterbudgetandnutrientbudget[40].Severalstudieshave
reportedontheuseofamassbalanceapproachtosimulatelakelevelsfromhydrologicaland
meteorologicaldata[41,42].Therehavebeenmanydifferentempirical,analytical,andnumerical
approachesforsimulatinglake–groundwaterinteractions(e.g.,fixedlakestages,HighKnodes,and
LAK3packagethroughnumericalmodeling).Theadvantagesanddisadvantagesoftheseapproaches
havebeendocumentedbymanyresearchers.ManyhighlysophisticatedmodelslikeLAKPackage
arenotwidelyusedduetodataandresourceconstraints[17,35,43].ThelimiteduseofLAKPackage
isattributabletothelackofstandardizationandassociatedgraphicaluserinterfaces,complexthree
dimensionaldiscretizationanddataneeds,andspatialandtemporalcomplexityinherentin
includingsurfacewaterfeaturesinagroundwatermodel.Whilesophisticatedapproachesoffermore
detail,theiradvantagesmaybeoffsetbyassociatedcomplexityandeveninstabilityofthesolution
procedure[44].Consequently,afullfeaturedLAKpackageisnotanautomaticchoicefor
practitioners,regulators,andthewidercommunity;rather,thechosenmethodshoulddependon
boththehydrogeologicalconditionsandthemodelingobjectives[39,45–48].
WithintheGlenelgHopkinsCatchmentManagementAuthorityarea,LakeLinlithgowandthe
nearbyshallowlakesareconsideredtobeofenvironmentalimportanceduetothedrainageand/or
degradationofmanyotherwetlandsthroughoutthisregion[32,52,53].However,inrecentyearsLake
Linlithgowhasbeenaffectedbyalgalbloomsandhighlakesalinities,andhasbecomedryoverthe
summerduringmostyearssince2000.ThenormalseasonalfluctuationforLakeLinlithgowis10,000
μS/cminwinterandspring,risingto16,000μS/cminlateautumn[60].However,during1999,the
lowestsalinitylevelsrecordedwere27,000μS/cmandtheypeakedat58,000μS/cm(seawater)inthe
autumn,beforesharplyincreasingto63,000μS/cmpriortodryingoutinFebruary2000.Extensive
researchwascarriedouttocharacterizefuturechangesingroundwatersalinizationwithinthebasalt
aquifersintheHamiltonarea,includingLakeLinlithgow,usinghydrogeological,chemical,and
isotopictechniques[14,32,50].Theaimofthisstudyistoimproveourunderstandingoflake–aquifer
interactionthroughanalyzingthegroundwatercomponentofLakeLinlithgowasacasestudy.
Hydrology2017,4,10 3of18
2.StudyArea
LakeLinlithgowcoversanareaof9.65km2andisthelargestinaseriesofhighlytomoderately
salinewetlands,locatedapproximately16kmeastofHamilton,westernVictoria(Figure1).Thelake
isfedbyBoonawahCreekandthereisnosurfaceoutlet.ThecatchmentareaforLakeLinlithgowis
85km2.ThevolcanicplainssurroundingLakeLinlithgowaretopographicallysubdued,comprising
aflattoundulatingplainwithaverageelevationof~200mAustralianHeightDatum(AHD),gently
increasinginelevationfromsouthtonorth(Figure1).Theplainisdottedwithseveralprominent
eruptionpointsandanumberofsmallerlowreliefvolcaniccones.Thevolcanicplainisdeeply
dissected(upto80m)bystreamsonitswesternandsouthwesternmargins.
Figure1.DigitalelevationmodelshowingtherelativeelevationoftheterrainsurroundingLake
Linlithgow.
ThepreEuropeanvegetationcomprisedRiverRedGum,SwampGum,MannaGum,
Blackwood,andLightwoodalongmoderatelyinciseddrainagelines,andTeatree,SilverBanksia,
andLightwoodontheblackselfmulchingclaysassociatedwiththemarginsofswampsandlakes
(i.e.,BuckleySwamp)[55].Thepoorlydevelopeddrainagelinesassociatedwiththeheadwatersof
GrangeBurn,VioletCreek,andMuddyCreekwereoftendominatedbygrasslands.LakeLinlithgow
andLakeKennedy(Figure2)werepresumablyvegetatedwithsalttolerantspeciessuchasplantain,
Australiansaltgrass,andstreakedarrowgrass,andarerelativelyunalteredsinceEuropean
settlement.
Themostsignificantlandusechangeoccurredbetween1900and1920,withtheconversionto
introducedpasture[55].
Hydrology2017,4,10 4of18
Figure2.Landsatimagery(takeninFebruary2004)showingtheLakeLinlithgowarea.
2.1.Hydrology
Theaveragerainfalloverthecatchmentisabout689mm,recordedatHamiltonResearchCentre.
Rainfallrecordsoverthelast45yearsclearlyshowthatrainfallishighlyvariable,butoverthelast
decadetherehasbeenasubstantialdrop,withannualrainfallbelowthelongtermaverage.
Maximumrainfallisreceivedoverwinter(thewettestmonthsareJulyandAugust)andexceedsor
equalsevaporationforMaytoSeptember,whengroundwaterrechargeismostlikelytooccur.June
toSeptemberrainfallcontributes45%tothemeanannualprecipitationinthecatchment;pan
evaporationishighestfromOctobertoAprilandtotals1053mm.
2.2.Geology
ThebasementgeologyoftheareaconsistsofCambrianvolcanics,EarlyPaleozoicturbidites,and
Siluriansandstone,intrudedbyDevoniangranites(Figure3).Thesebasementrocksdonotoutcrop
aroundLakeLinlithgow.
Thedisruptionofthedrainagesystembythebasaltflowsformedthelakesinthecenterofthe
catchment.LakeLinlithgowsitsonfirstphase(~4Ma)basalts,andisencircledbysecondphase(~2
Ma)basaltflows,formingarelativelyflatlakebedwithsteepbanks.Lunettesoccurontheeastern
andnortheasternmarginofthelake,~4mabovethecurrentmaximumlakelevel[50].Thereisalocal
groundwaterflowsystemaroundLakeLinlithgow[32,55],andaregionaltointermediate
groundwaterflowsysteminthesurroundingvolcanicplain(Figure4).
PotentiometricsurfacecontoursfortheNewerVolcanicsaquiferindicatethatLakeLinlithgow
isagroundwaterthroughflowlake,withgroundwaterflowenteringthelakefromtheeastand
leavingtowardsthewest(Figure4).Groundwaterentersthroughaseriesofspringsandseepsalong
theeasternlakemargin,mostlyfromthesecondphasebasaltaquifer,whichterminateshere[50,54–
56].HydrographsfromboresinthebasaltaquifersurroundingLakeLinlithgow(Figure5)showa
strongcorrelationwiththelakelevel.Thedecliningtrendof20cm/yearfrom1997to2001isclearly
aresponsetobelowaveragerainfall[14].Thepalaeosolslyingbetweensuccessivebasaltphases
hinderoutflowfromthelakeandactasbarrierstogroundwaterflow(Figure6).
Hydrology2017,4,10 5of18
Figure3.GeologicalmapoftheareasurroundingLakeLinlithgow.
Figure4.LakeLinlithgowandassociatedwetlands(gray)andbasaltaquiferpotentiometricsurface
contours(mAHD).
Hydrology2017,4,10 6of18
Figure5.Comparisonofborehydrographswiththelakelevel.Thepositionsoftheboresareshown
inFigure4;screeneddepthofB57685isfrom82.5to88.5m.
Figure6.West–EastandSouth–NorthhydrogeologicalcrosssectionsthroughLakeLinlithgow[50,55].
2.3.LakeHydrology
MonthlylakelevelandsalinitydataareavailableforLakeLinlithgowfrom1964to2007,when
thelakedriedout,althoughthesalinitymeasurementsareavailableonlysporadicallyfrom1964to
1974(Figure7).LakeLinlithgowhasamediandepthof1.45m,buttypicallyvariesseasonallybyup
to1m(Figure7).AgraphofcumulativedeviationofrainfallfromthemeanforHamiltonResearch
Stationshowsastrongcorrelationwithlakelevels;peaksinthelakelevelgenerallycorrespondto
periodsofaboveaveragerainfall(Figure7).Inyearsofbelowaveragerainfall,thelakedriesout
duringsummer,asoccurredinJanuary–Aprilof1983,2000,and2001,butafterasuccessionofhigh
rainfallyears,lakelevelsrisesubstantially(Figure7).
Hydrology2017,4,10 7of18
Figure7.Lakelevelwithvariationinrainfall.
LakeLinlithgowistypicallysaline(median12400μS/cm).Thelargeseasonalvariationinlake
leveliscorrelatedwithasubstantialrangeinlakesalinity(3300–98,900μS/cm;Figure8).Thereisa
generaltendencyforLakeLinlithgowtobecomemoresalineuntilthelakedriesout(Figure8).
Figure8.Relationshipbetweenmeasuredlakedepthandsalinityfortheperiod1964–2007.
3.Methodology
Aspreadsheetmodelwasemployedtoanalyzeforthecurrentstudy[32].Anexplanationofthe
modelisgivenbelow.
3.1.WaterBalanceModel
MonthlytimestepmodelingofthelakewaterlevelwascarriedoutusingExcelspreadsheets,
andtheresultingwaterbudgetwasusedasinputforthesaltbudget.Thelakewaterbalanceis
calculatedbyestimatingallthelake’swatergainsandlosses,andthecorrespondingchangein
volumeisexpressedas:
Volumechange=Surfacewaterinflow+Rainfall+Q
in
−Evaporation−Surface
wateroutflow−Q
out
,(1)
whereQ
in
isthegroundwaterinflowandQ
out
thegroundwateroutflow.
Thenetfluxofthegroundwaterflow(Q
in
−Q
out)
canbecalculatedas:
Q=C(H
lake
−H
aquifer
)inm
3
month
1
,(2)
Hydrology2017,4,10 8of18
whereCistheconductanceofthelakebedsediments(m2month1)andHisthewaterlevelinthelake
andsurroundingaquifer(m).Hydraulicconductivitycanbeexpressedas
C=K×A/Linm2month1,(3)
whereKisthehydraulicconductivityofthelakebedsediments(mmonth1)andAandLarethelake
area(m2)andlakebedsedimentthickness(m),respectively.Theformulationissimilartothatusedin
theriver(RIV)andlakepackages,whichspecifiesthefluxthroughtheriverbedorlakebedasa
functionofstage,potentiometricheadintheconnectedcells,andtheriverbedorlakebedconductance
inwhichthelakebedconductance,COND,ateachcelliseitherspecifiedbytheuserinthelake
packageinputfile,orcalculatedfromthelakebedgeometryandhydraulicconductivity.Aswiththe
riverpackage,flowfromthelaketothegroundwaterintheLAKpackageislimitedwhenthehead
inacellfallsbelowthelakebedbottom.Also,ifthestageofthelakeisbelowthetopofthelakebed,
thelakecellisdryandseepageintothegroundwateriscutoffforthatcell.Inthisspreadsheetmodel,
asimilarprocedurewasappliedtoformulatetheboundaryconditionsthatcontrolthesolutionof
potentiometrichead.
Thetemporalareaisestimatedfromthelakestage–area–volumerelationshipbuiltin[42],while
thelakebedsedimentisestimatedusingthesoilerosionmodelofthecatchment.Thewaterlevelin
thesurroundingaquiferisupdated(Haquifernew)usingtheinflowandoutflowcalculatedforthe
previousmonth(Haquiferpre)is
Haquiferpre=Q/A×Sy(m)(4)
Haquifernew=Hinold+Hin(m),(5)
whereAisthesurfaceareaoftheinteractingaquiferandSyisthespecificyieldoftheaquifer.The
modelrequiresknownhydrometeorologicaldata(inflowfromtherivers,rainfallonthelakesurface,
aquiferarea,andevaporationfromthelake)andestimatestheunknownnetgroundwaterfluxdue
tointeractionofthelakewiththesurroundingaquiferbycomparingthesimulatedandrecordedlake
levelsandcalculatingaresidual.Themodelwascalibratedusingsolveranditeration.Thenet
groundwatercomponentisrepresentedasanodeintheequationtoswitchonandoffandassessthe
significanceofthegroundwaterintheoveralllakewaterbudget,asexplainedthroughthefluctuation
andlakeleveltrendovertime.
3.2.LakeWaterBudgetandModelParameters
3.2.1.LakeStorage
Bathymetrydataarenotavailableforthelake;however,thearea–depthrelationshipwas
estimated.Thelakeareawasmeasuredfrom12Landsatimagestakenbetween1972and2004and
correlatedwiththemeasuredlakedepthinthemonthwhentheimagesweretaken(Figure9).The
lakeareawasestimatedusingENVIsoftware(withthresholdmethodandgrowbutton);thisismore
accuratethantheGIS(vector)methodusedby[50]becauseitfindssimilarpixelsselectedforthe
waterbodyandtherebybetteridentifiesthenaturalboundary.Thelineofbestfit(withr2=0.99)to
thearea/depthdatagivestherelationshipforLakeLinlithgowas:
A(t)=1.545(D(t))5−23.09(D(t))4+135.9(D(t))3−393.7(D(t)2+561.1(D(t)−305.8.(6)
Thepolynomialrelationshipbetweenlakearea(A(t))andlakedepth(D(t))isduetothelake’s
relativelyflatlakebedandsteepbanks,andgivesabetterfitforthedepth–arearelationshipthanthe
logarithmfunctionusedby[50],whichhadasmallerr2value.
Thelakevolumeatthebeginningofagivenmonthcanthereforebecalculatedfromthedepth
andareaattheendoftheprecedingmonth.Thelakedepthmustbefirstadjusted,becausethe
minimumreadingonthebaseofthelakelevelgaugeis~1.3m.Thus,thisvalueisdeductedfromthe
recordedlakeleveltogetthetruelakedepth.Forthemodeling,theinitialvolumeinSeptember1964
wascalculatedfromthemeasuredwaterdepthinthatmonth(2.79m).
Hydrology2017,4,10 9of18
Figure9.RelationshipbetweenlakeareaderivedfromLandsatimageryandmeasuredlakedepth.
3.2.2.PrecipitationonLake
Monthlyprecipitationistakenfromthenearestrainfallstation(HamiltonResearchCentre),
whichliesapproximately13kmsouthwestofLakeLinlithgow,andismultipliedbythelakeareato
givethevolumeofdirectrainfallintothelake.Theprecipitationdataareonlyavailableupuntil2001;
valuesforthesubsequenttimeperiodhavebeenextrapolatedfromtherainfallatCarinyastation(~65
kmfromHamiltonResearchCentre)usingthecorrelationbetweenrainfallatHamiltonResearch
CentreandCarinya.
3.2.3.SurfaceFlowtotheLake
SurfaceinflowtoLakeLinlithgowisreceivedthroughBoonawahCreek,forwhichthereareno
gaugingdataavailable.Surfaceinflowscan,however,beestimatedbythetanhcumulativesurplus
rainfallapproach[42]usingtheGrangeBurnflow,whichisgaugedatMorgiana(gaugeno.238219;
Figure1),becausetheGrangeBurnandLakeLinlithgowcatchmentsareadjacentandhavesimilar
topography,soiltype,vegetation,landuse,andrainfall.Thetanhcumulativesurplusrainfall
approachprovidesatoolwithwhichrunoffinGrangeBurncanbepredictedforanygivenmonthly
precipitation/evaporation(Figure10).Usingareascaling,thiscanbeconvertedtoaflowinBoonawah
Creek;thecatchmentareasforBoonawahCreek(atLakeLinlithgow)andGrangeBurnatMorgiana
are85km
2
and997km
2
,respectively.
Figure10.StreamflowmodelingfortheGrangeBurnatMorgiana(gaugeno.238219).Thelocation
ofthegaugestationisshowninFigure1.
Hydrology2017,4,10 10of18
3.2.4.OutflowfromtheLake
TheevaporationfromLakeLinlithgowisestimatedusingmonthlyevaporationdataatHamilton
ResearchStation,wherepanevaporationwasmeasuredfrom1968toJune2000.Theevaporationdata
fromJuly2000hasbeenextrapolatedfromWhiteSwanReservoirstationbyestablishingacorrelation
betweenpanevaporationatHamiltonResearchCentreandWhiteSwanReservoir.Evaporationdata
from1964to1968arelackingatWhiteSwanReservoir,soevaporationforthisperiodwasestimated
fromthecorrelationofevaporationattheHamiltonResearchCentrewiththatattheMelbourne
regionaloffice.Alocalcalibrationcoefficientwasusedtoadjusttheseasonalpanevaporationdata
fromHamiltonResearchCentreforthebestfitofthemodel.Theoptimizedlocalcalibration
coefficientis1.18;thistakesintoaccountthespatialvariationinposition,elevation,andstorageeffect
betweenHamiltonResearchCentreandLakeLinlithgow.
3.2.5.GroundwaterInflowandOutflowEstimation
Groundwaterinflow/outflowwasinitiallyestimatedusingDarcy’sLaw.Thewidthsofthe
groundwaterinflowandoutflowzonesalongthelakeperimeterare~6.1kmand3.6kmrespectively.
Thecrosssectionalareaiscalculatedbymultiplyingthewidthofthegroundwaterinflow/outflow
zonebythesaturatedthickness(8m)ofthefirstphasebasaltaquiferinhydrauliccontactwiththe
lake.Theaveragehydraulicconductivityofthebasaltaquifer(0.09m/day)isderivedfrom
groundwaterflowratescalculatedusinggroundwaterradiocarbonagesbyBennetts[50].The
hydraulicgradienteithersideofthelake,deriveddirectlyfromthepotentiometriccontours,is3.7×
103(Figure4).SimilartoLakeBurrumbeet,anaveragevalueof0.000864m/dhasbeenchosenforthe
permeabilityofthelakefloorinordertoestimatethegroundwateroutflowthroughthelakebed.
Usingthesefigures,themonthlygroundwateroutflowandinflowfrom/tothelakewereestimated
as~0.29MLand~0.48ML,respectively.
Modelcalibration,carriedoutbyadjustinginputparameterssothatthesimulatedlakelevelsfit
theobservedlakelevel,givesthenetgroundwaterflowestimation.Inthiscasetheoptimizedlake–
aquiferconductance(C)valueis2.71×103m2/day,whichisequivalenttoahydraulicconductivity
valueoflakeshoresedimentsofabout7m/day;thisfallswithintherangeofprevioushydraulic
conductivityestimatesforthesesandbeaches.Theoptimizedspecificyieldandaquiferareaare0.1
and45km2,respectively[32].
Theoptimizedspecificyieldcomparesreasonablywithpreviousspecificyieldestimatesofthe
basaltaquifer,whichrangeupto0.18[51].Theaquiferareainhydrauliccontactwiththelake(45
km2)issignificantcomparedwiththecatchmentareaofLakeLinlithgow(85km2),indicatingthat
lakelevelfluctuationsdirectlyimpactabouthalfofthebasaltaquiferinthecatchmentarea.
Thebestpossiblefitofthewaterbudgetmodelwasattainedat~0.37×106Land3.1×106L
monthlyaveragegroundwateroutflowandinflow,withtheexceptionofdryperiods.Thevalueof
optimizedgroundwateroutflowcomparescloselywiththeinitialestimate.
4.ResultsandDiscussion
4.1.LakeWaterLevels
Thepredictedlakelevelsshowgoodagreementwiththemeasuredlakeleveldata(Figure11),
withanr2valueof~0.85(Figure12).Thesumofthesquareddifferencesdidnotexceed0.4m,except
forafewoutliers(Figure13).
Thewaterbalanceshowsthatthemajorinfluenceonlakelevelsisevaporation(Table1),
accountingforanaverageof54%ofthetotalwaterbudget.Ithasthegreatestinfluenceinsummer,
reachingupto99%ofthetotalbudget,butdecreasedduringdryperiods,becauseitisproportional
tothelakearea[32].Groundwaterinflowcontributesabout1%ofthelakewaterbudget.Eventhough
groundwateroutflowisminor(0.1%),itdominatesthelakewaterlossesduringearlywinter(June),
atimewhenevaporationisverysmall(Figure14).
Hydrology2017,4,10 11of18
Figure11.LakeLinlithgowmeasuredwaterlevelsandacomparisontomodeledresultsfortheperiod
1964–2007.
Figure12.CorrelationbetweenobservedandcalculatedlakeelevationinAHDm.
Table1.Averagelongterm(1964–2007)monthlycontribution(inpercent)ofeachLakeLinlithgow
waterbudgetcomponenttotheoveralllakewaterbudget.
Evaporation
(%)
Groundwater
Outflow(%)
Precipitation
(%)
Surface
Inflow(%)
Groundwater
Inflow(%)
540.13781
198
198
199
199
200
200
201
201
Oct-63 Apr-69 Sep-74 Mar-80 Sep-85 Mar-91 Aug-96 Feb-02 Aug-07
Lake level (m AHD)
observed lake level predicted lake level
R2 = 0.8446
197.0
197.5
198.0
198.5
199.0
199.5
200.0
200.5
201.0
197.0 197.5 198.0 198.5 199.0 199.5 200.0 200.5 201.0
Actual lake leve l (m AHD)
Predicted lake level (m AHD)
Hydrology2017,4,10 12of18
Figure13.Temporaldistributionofsquaredifferencebetweenobservedandcalculatedlakelevels.
Figure14.AnnualwaterbalanceofLakeLinlithgow(1965–2006).
Thus,LakeLinlithgowisagroundwaterthroughflowlake,andthelake–groundwater
interactionisimportantsinceitaffectstheenvironmentalhealthofthismajorwetland.
4.2.WaterBudgetErrorsandSensitivityAnalysis
Asensitivityanalysisshowsthatthemodelismostsensitivetoevaporationandprecipitation
(Figure15),andsurfaceinflowtoalesserextent.However,themostlikelysourceoferrorwithinthe
modelisestimatingtheungaugedsurfaceinflow(i.e.,BoonawahCreek)bythetanhrelationship
fromGrangeBurn;thiscouldbeinerrorifthethresholdvalueatwhichcumulativesurplusrainfall
becomesrunoffinGrangeBurnatMorgianaisdifferenttothatofthesmallercatchmentofBoonawah
Creek.
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
Dec-62 Jun-68 Dec-73 May -79 Nov-84 May-90 Oc t-95 A pr-01 Oct -06
Lake level difference square (m)
Hydrology2017,4,10 13of18
Figure15.RelativesensitivityofLakeLinlithgowwaterbalancemodeltochangesinthewaterbudget
components.
4.3.Interpretation
Toassesstheeffectofgroundwatercomponent,whichisthemainobjectiveofthispaper,further
analysiswascarriedoutthroughasecondmodelrunwithoutagroundwatercomponent.The
calculatedwaterlevelsfollowedthesametrendasobservedlakelevels,butwereonaveragelower
thantheobservedvalues.Thelowercalculatedlakelevelimpliesthatthetotalobservedlakestorage
islowerthanwouldbeexpectedifthelakedidnothavegroundwaterinflow(Figure16).
Figure16.Observedandsimulatedlakelevel(deactivatingthegroundwaternodefromthemodel).
Theeffectofgroundwaterisevidentfromthegraph.Thesimulatedvolumetriccomponentof
thegroundwaterofthelakewaterbudgetisshowninFigure17.Thebaseflowisestimated(G=260)
(Figure10)usingthetanhcumulativesurplusrainfallapproach.Thissimplisticmodelseemsa
197.5
198.0
198.5
199.0
199.5
200.0
200.5
201.0
Oct-63 Apr-69 Sep-74 Mar-80 Sep-85 Mar-91 Aug-96 Feb-02 Aug-07
Lake level (m AHD)
observed lake level predicted lake level
Hydrology2017,4,10 14of18
reliableandmodesttooltoseethelake–groundwaterrelationshipataglanceandwillbeusefulif
constrainedbythemassbalanceandreliableestimateofparameters[9,32,51].Thisapproachcould
beadoptedformuchwetlandmanagement.Thismodelwillgiveinsightintothegroundwater–
surfacewaterrelationshipandguideourfuturedatagatheringfromsensitiveparameters.The
parametersusedaresmallandconvenientformanagementpractice.
Figure17.VolumetricgroundwatercomponentintheLakeLinlithgowwaterbudget.
Theneedforstudyoftheinteractionoflakesandgroundwaterstemsfromthefactthat
groundwateriscommonlyignoredoristheresidualterminlakewater.Becauseallvariablesina
lakewaterbudgetarerarelymeasured,itisimpossibletoadequatelyevaluatetheerrorsorthe
residual.
Evenifgroundwaterisincludedaspartofalakewaterbalancestudy,improperplacementof
wellscanleadtoamisunderstandingoftheinteractionbetweenlakesandgroundwater.Nomatter
howmanywellsareusedtodefinethewatertableinthesettings,themapsshowsagradienttowards
thelake,andtherewouldbenowaytodetecttheoutseepagethatoccurs.Ifonlyoneorafewwells
areplacednearalake,thegroundwaterflowsystemwouldnotbeadequatelydefinedandwouldbe
subjecttomisinterpretation[16,55,58].
Overalongperiodoffallinglakelevelsfrom1968uptothedroughtperiod1982/3,thesimulated
lakelevelsaremorethanonemeterlowerthantheobservedlevelsduetothelackofgroundwater
inflow.However,thereisagoodmatchbetweenthesimulatedandactuallakelevelsduringaperiod
ofrisinglakelevels,indicatingthatthegroundwateroutflowfromLakeLinlithgowrechargingthe
aquiferisverysmall.Whenthegroundwatercomponentisaddedtothemodel,itaccuratelyfollows
theobservedlevels(Figure11).
GroundwaterisanimportantcomponentofthewaterbalanceofLakeLinlithgow,anditsflow
isinfluencedbythelakelevel.Ifthelakelevelrises,groundwateroutflowandthereforelakerecharge
intothesurroundingaquiferwillincrease.Ifthelakeleveldecreases,groundwaterdischargefrom
theaquiferintothelakewillincrease.Thisinteractioncausesinertiainthelake–groundwatersystem,
delayingreactionstoexternal(meteorological)stresses(Figure17).Thisphenomenoncanbeshown
usingthelakewaterbalancemodel.Ifthemodelisrunwithnogroundwatercomponents,it
overshootsafterperiodsofriseorrecession(Figure16).
-150
-100
-50
0
50
100
150
Dec-62 Jun-68 Dec-73 May-79 Nov-84 May-90 Oct-95 Apr-01 Oct-06
Volume (ML )
Hydrology2017,4,10 15of18
5.Conclusions
Thispaperaimsatanunderstandingofthegroundwatersysteminwetlands,viaacasestudyat
LakeLinlithgow,Australia.
Whenthemodelwasrunbasedonsurfacewaterbalancecomponents(viaswitchingthe“node”
off,i.e.,intheabsenceofgroundwater),therewasaprogressiveseparationbetweenobservedand
calculatedlakelevels.Thecalculatedlevelsimplythatthelakeshouldaccumulatemorestoragethan
isactuallyobserved.Thisseparationcouldnotbeattributedtosystematicerrorsinsurfacerunoff,
precipitation,andevaporationmeasurements.Rather,itisanindicationofsubterraneanwaterfluxes
(i.e.,groundwater).
Theresultsofsuchanalysisleadtoabetterunderstandingofthegroundwatersystemwithina
lake/wetlandecosystem.
Uncertaintiesassociatedwiththegroundwatercomponentofthelakewaterbudgetincrease
unpredictabilityandunreliabilityandfurthercomplicatethefuturemanagementofwetlands.No
matterhowmanywellsareusedtodefinethewatertableinthesettings,thegroundwaterflow
systemwouldnotbeadequatelydefinedandwouldbesubjecttomisinterpretation.Thepresent
methodgivesabetterwayofstudyingsurfacewater–groundwaterinteraction,whichisingreat
demandinthecurrentstrategyforbetterwetlandandintegratedwaterresourcesmanagement.The
resultunderscorestheneedtoputinplacerelevantadaptationmechanismstoreducevulnerability
andenhanceresiliencetoclimatechangewithinthelakebasin.
Acknowledgments:Wewouldliketothanktheanonymousreviewers.Themanuscripthasbenefittedfromthe
reviewers’andeditors’comments.
AuthorContributions:Y.Y.andJ.W.conceivedanddesignedtheresearch;Y.Y.performedtheresearch;Y.Y.
andJ.W.analyzedthedata;B.V.contributedanalysistools;Y.Y.wrotethepaper.
ConflictsofInterest:Theauthorsdeclarenoconflictofinterest.
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... So far, no universally acceptable definition for drought has been suggested, mostly because of the diverse aspects and outcomes regarding the phenomenon (Esfahanian et al., 2017;Hayes et al., 2011;Lloyd-Hughes, 2014). Droughts have been studied mainly using five categories: meteorologic, hydrologic, agricultural, socioeconomic, and ecologic drawbacks (Mersin et al., 2022a;Yihdego et al., 2017). These drought types can be interpreted as decrease in rainfall (meteorologic drought), lack of moisture in soil (agricultural drought), decrease in streamflow (hydrologic drought), water deficit in the habitat or environment to maintain its integrity (ecologic drought), and lack of water to meet anthropogenic activities (socioeconomic drought) (Yihdego et al., 2017). ...
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This paper aims to refine an effective procedure to reconstruct the past level changes of closed lakes, as a tool for future management. In most cases, such water bodies are overlooked (particularly when they are small), even if they play a significant role in local communities from the economic and social points of view. In this perspective, this study explores the potential of using reanalysis data, as a single source of data to compute the lake water mass balance, and water level observations. It focuses on some closed lakes with minimal anthropogenic influence in Europe, Africa, and the United States. The number of cases studied is limited by the fact that a significant time series of water levels is difficult to obtain for small lakes. The research leverages ERA5 Land (ERA5L), the land component of ERA5 reanalysis, incorporating the Freshwater Lake (FLake) model. FLake allows simulation of the interaction of inland water bodies with the atmosphere. The use of ERA5L is preceded by data validation by considering satellite observation. To simulate the water mass balance of the selected lakes, the proposed procedure combines precipitation, runoff, and evaporation from the lake, provided by ERA5L, and the lake water level observations. The results indicate that even with a short time series of water level observations, a good agreement (Pearson coefficient ranging from 50% to 90%) between the observed monthly variation of the lake level and the corresponding values of the water storage, computed by using ERA5L, is achieved. The procedure exhibits adaptability and robustness, with an accurate representation of the lake water level trends. However, occasional discrepancies are noted during specific periods, primarily attributed to ERA5L precipitation biases. The proposed procedure can be used only when lake water level observations are available. This limits the number of lakes that it can be applied to. However, the procedure can be applied even with a short time series of data, without the need for additional ground-based or remotely sensed data to compute the water mass balance. Significance Statement This study employs ERA5L reanalysis data and lake level observations to effectively reconstruct the natural variability of closed lake water levels in some monitored lakes in Europe, Africa, and the United States. Results demonstrate the adaptability and robustness of the proposed procedure in capturing the past level changes. Despite occasional discrepancies attributed to precipitation biases, the procedure proves reliable for assessing lake water level trends. Future studies could refine the procedure and extend its applicability, enhancing the ability to monitor environmental changes.
... Droughts are a hazard phenomenon associated with water deficit, and can be classified into several major types: (i) meteorological, as a reduction in precipitation; (ii) agricultural, as a lack of moisture in the soil; (iii) hydrological, with a decline in stream flows; (iv) ecological, as a water deficit in the environment (Yihdego et al., 2017); and (vi) anthropogenic, broadly defined as drought events caused or intensified by human activities . Flash droughts have recently also come to attention due to their sudden emergence and severe impacts on ecosystems and water resources . ...
... Selection of local levels, such as plant diversity, irrigation time, and market responses, including the type of income sources, resources, and credit programs of enterprises, can help to adapt to climate change (Heller et al. 2015). Government responses like eliminating subsidies and maintaining and improving agricultural markets, a technological development that includes the development and upgrading of new products, various advances in water management, and encouraging and educating people to adapt to these changes can enhance adaptation to climate change (Yihdego et al. 2017;Becker et al. 2015). Vulnerability assessment and resilience mechanisms and adaptation to global climate change are critical . ...
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http://www.epa.vic.gov.au/~/media/Publications/Yihdego%202008%20Lake%20Purrumbete%20report%20updated%202010.pdf
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itle-VUEESC La Trobe 2007 : 25th September 2007, La Trobe University / [editors, Sarah Hegarty, Dale McKenzie, Yohannes Yihdego]. Creator-Victorian -Universities Earth and Environmental Sciences Conference (21th : 2007 : Wodonga, Victoria) Other Creators Hegarty, Sarah. McKenzie, Dale. Yihdego, Yohannes. La Trobe University Geological Society of Australia Published Sydney : Geological Society of Australia, 2007. Physical Description 43 p. ; 30 cm. Series Abstracts (Geological Society of Australia), 0729-011X ; no. 88 Abstracts (Geological Society of Australia) ; no. 88 Language English Identifiers Libraries Australia ID 42377513 Contributed by Libraries Australia https://trove.nla.gov.au/work/35072836
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In western Victoria, southeast Australia, the watertable has been declining for the last 10-15 years, and this is attributed to either the low rainfall over this time and/or a substantial change in land use, with grazing land replaced by cropping and tree plantations. To determine the relative impact of climate and land use on the watertable, groundwater level fluctuations were modelled using two different approaches: Predefined Impulse Response Function In Continuous Time (PIRFICT) model (a transfer function-noise model), and an auto-regressive model, Hydrograph Analysis: Rainfall and Time Trends (HARTT). HARTT does not take evapotranspiration into account, and this is a serious drawback in areas with shallow groundwaters, because PIRFICT modelling showed that these areas have significant seasonal evaporation. However, the average trends calculated using both models differ only slightly. Most of the groundwater level fluctuations are explained by climatic variables (90%). The average non-climate trend is statistically insignificant, indicating that groundwater levels are not rising/falling due to changes in landuse, at least not during the observation period. However, bores screened in one aquifer, the Port Campbell Limestone, show a substantial negative trend (-0.3 m/yr) due to groundwater pumping from irrigation bores. The HARTT analysis showed that the impact of recharge on groundwater level occurred with less than a month’s lag time, and the PIRFICT modeling calculated that the impact stays in the system 5.7 years on average. This is an indication of the time needed for the groundwater storage to move to a new state of hydrologic (physical, pressure-related) equilibrium. The short groundwater response times mean that the effect of massive clearing more than 50 years ago on the water table could not be detected. These response times are much more rapid than those derived from groundwater flow system concepts. Overall, the results of the modelling allow the impacts of land management change on groundwater resources and dry land salinity to be more reliably predicted and therefore better managed.
Chapter
The increasing occurrence of drought events along with lack of proper drought management practices in various regions of the world has caused several socioeconomic problems for natural-resource-dependent communities. The operation of surface water resources that are quickly affected by drought, in most regions, is performed using the reservoir. Therefore, reservoir operation during drought is one of the most important drought management policies. During wet and normal periods, when inflow is sufficient, achieving reservoir operating targets does not pose a problem. However, during drought or when forecasting a drought, it may not be possible to reach the target because of an inflow shortage. To minimize the impact of drought on reservoir performance, rule curves are coupled with hedging rules to balance the shortage in water supply with the storage target. This chapter discusses reservoir operation during drought.