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Î €ö€öpD¬ ,™4 ³€ö€ö®€¬ ,©¯$ ·€ö€ö°‘¬ ,Ä #G Œ €ö€ö¼ ‡!œ €ö€ö¼ ‡#  €ö€ö0¬ (&! ë€ö€ö­¬ ,.bV€ö€öº0¬ &0Ü €ö€ö¼ ‡2: L€ö€öû‹¬ <Ùƒ ' æ€ö€ö*Ϭ >í€ö¼ŠAJ;€ö€öa $Iû€ö€öe  Ne€ö€ög  Sƒ€ö€öi  X  s€ö€ö b &[€ö€ös\ a €ö€ö Q &d. €ö€ö@ &gë;€ö€ö= $k=;€ö€öžT $sD;€ö€ö¸- $v4;€ö€öz $z;€ö€ö¶¶ $q;€ö€ö¾Ê $…;€ö€öˆ\ Š €ö€öÁ]\$Ž$£ Q €ö€ö²¢ $“„]Q €ö€ö„ˆ\,•3;¨€ö€öE+  ›w;¹€ö€ö!¿ $¢¼;€ö€ö´³ $¨¬wj€ö€öGø\ «C €ö€öt  ­P €ö€ö;  ²]J U€ö€ö:  ·hV Z€ö€ö9 $¹¼€ö€ö¼ ‡»Ì€ö€ö¼ ‡¾ª€ö¼ŠÂ¯;Ô€ö€öÜ(ÆÐ;€ö€öàÜ Éáq€ö€öâÜ Î €ö€ö¨ Ü,Ôv €ö€ö(¾Ü ׸Š€ö€ö°\(Ü×ðc €ö€ö#ð\ Þæ€ö¼ŠáÈ €ö€örU\$ãý €ö€ö–³\,è} €ö€öº¹\,î“nQ €ö€ö\,ôgQ €ö€ö®\,ù6Q €ö€öÁÍ\,þWRg €ö€öA\ r–€ö€öKù\  §-Q €ö€öÃn\,( (€ö€ö¬o\ - €ö€öm\(ªÍQ €ö€öµ\ L0€ö€öÌû\ 4c€ö¼Š:ê €ö€öJL$41Ç €ö€ö[\$4*¤ €ö€ö ll$4";€ö€ö }|$4æn€ö€ö €Œ,4L\l|ŒŒ < Ì œ¬ ¼ üü œ ¬¼, ì < Ü œ Ì<\Ì Ü\¼¬ |¬ \L ̬lÌ Ü  , Lì ü \ ¼ <L\L |¼\ œ,Ü< ,L< œ ¼ œ ,lœ<| ¼lŒ¬Ì <¬¼, üL \ \ÜŒì¼l Ü ü Œ\,Œ L| œ,|< Œüì<ì\œŒ|\l|üü| |¬ì Œ L < ü,ü ¼ ü ìÌì, L\Ì<, ¬ œŒl\ |Ü ü\ŒlÜlŒ | l|Ì쌜<¬Ì¼ÌÜL , ,, < ÌL ¬|<Œ ¼ Ìl ¼ LŒ<¼üÌ  l  ì|¬l ¼ÌÜì¬ì ¼Ìì ŒL| ÜÌœ,¬ ì üì¬L, | |ìü lŒlÜ,œLlÜœ\ l Œ ü¬ üÜœ ܼÜì\L¬ ,<Lœœ \Ü < lC¡7L¿××ÈBSUMPRODVMINVMAXTimeINITIAL TIMEFINAL TIMETIME STEP SAVEPER.Namibiamodel stepp steppnSTEP -Month reset resetreservoirgdp per capita constraintif then elseDemand sideGrowth gdp per capitaPercent Efficient .Macrosmod modulon-Dimensionless.SubscriptsSERSER1SER2SER3 -indexMine Diamond Cu NiCoalGoldMVAgSRelWJPCh1PCh2PCh3Tch1TCh2TCh3 BASIN CDNa8CuNaCuAnFishOkAnOkNaOrNaOrSaSIAn SINa72 SINa73 UZambAn UZambNa USANaSwNaKuNa LSANaBasin1 Basin2 Basin3 NAMPET BOTSPETGWGrootfonteinOtjiwarangobraunfels OmaruruNeis neis Omdel Karibib UsakosRossing KhanSwartbank Rooibank Osona Rehobeth Windhoek North.scenariosSTCCPefficiencyefficiency levelrampClimate ChangeIncremental Rainfall ChangeMonthly Sum Pinterprecipitation dataTIME SHIFTEffective PrecipitationStart Time"Incremental Temperature ChangeTemperatureTCTemperature K-KActual Vapour Pressure shiftAVactual vapor pressureTime ScaleSupply versus DemandSupply by SER RechargeDemands Totalgroundwater percentageHuman ExtractionTotal groundwater percentage .DemandsDemands AgricultureIrrigated HaURY AgriculturalUR Percent by Month-mDemands LivestockLivestock SmallUse Rate Livestock SmallLivestock LargeUse Rate Livestock LargeGrowth LUcountry demandEmergency abstractionDemands from Surface SourcesMax Rural Water Use rateMax Urban water use rateDemands MiningGrowth GDP MiningDemands Total Mining NamibiaDemands DomesticPopulation Urban SERUse Rate UrbanPopulation Rural SERUse Rate RuralLosses Systeminitial rural water useinitial urban water usePercent RuralPercent UrbanPopulation RuralPopulation UrbanURC Rural DomesticURC Urban DomesticDemands Industrial GDP NTUse Rate per Namibian DollarUse by Region-ha.EquationMon January February March AprilMayJuneJuly AugustSeptember October November December.PETRadrwssin latitudedcos-mm-dacModified PM PETRngradient of saturated vaporpsychrometric constantWindVPDlatent heat of vaporization albedo alpha 0asatmospheric pressure-Paemissivitypi -radiansbcbsReStefan BoltzmanJulian Dayday length-hdays in year-dayfSun hours-J-kgRi ARCTANxEresexptan-C-W sum PETReference Crop EvaporationRh-s&Specific Heat at Constant Pressurelat .supplyVolume to Surface Area SERVSA Curve SER1VSA Curve ser2VSA Curve ser3 INFRA3infrastructure level INFRA2 INFRA1Inflow SERDistribution of Basin Runoff res serOutflow SEREvaporation SERExcess Releases SERinitial storageRUNOFF CM'sevap coefficientPETMaximum Storage SERSurface Supply Deficitevap coefficient SER unitsINITminimum storageMinimum BaseflowMCM-MCM -year.GroundwaterGW Storage GW INITAquifer ExtentRecharge over Basin lambdaRelative StorageArea .SurfacezPrecipitationEvapotranspirationSubsurface RunoffSurface RunoffExcess RunoffMaximum Storage Capacityupper bound zRUNOFF mm epsilonbasin size alpha gamma .Control#stepp(n)##reset(SupplybySER[SER])##reset(sumPET[BASIN])#"#reset(RelativeStorage[BASIN])##reset(basinsize[BASIN])#LÖ¡7L¿ŒŒ‡ ;V¼q \Œ¡7L¿qqÈnœü œ¬¬¬ì¼ ¬¬¬¼ , <  $< '¬ *Ì -ü 0, Ì 4 Œ 8œ œœœœ¬¬<Œ E¬Ü Hü œ L, ìQ¬¬¬U¬¬¬¼ZÌ`¬¬c, g¬, jì¡7L¿wwÈ,<L\l|Œœ¬¼ÌÜìü , <Ll|¬¼ÌÜìŒ ,\œü,lœÜŒœ¬¼ÌÜìü ,<L\l ,<L\ l|Œœ¬¼ÌÜìü ,<L\|Œ¬¼Ìü ,ì¼ÌÜì¡7L¿ttd <¬ ülüŒÜ l Ìl œ¼ ü Ü    Ü Œ ü¬=L\lÌ¬Ì Ü L¼ œ ¬<üL \ \Œ¼Ü | ì\Œ|\|,ü ¼ ü ÌŒ\ , |Œ ¼ l ¼ < l 윬 ¬|lŒ¬ Ü < lLÜ Ü ì\\ Ì ¼ ¼ < Ü  Ì ü¬ ÌL<,ìLlœ¼ | ¬<l ¬¼ | \Üì¼ü¼<l¼ü<ì\ l üŒœ| \ l \ ¼ ¬ l ¼  ì<,ìL œ<¬¼ì¼ ,\Œ|\üŒ <¬¬ üLLܼ Œì¼ü¬¬¬Œ|\<\ üŒll lü Ì üüü L \ Œ  ¼ < ¼¼œ| üܼ¼<lìü œ¬ lüüì\Œ Ì ì œœ  \ œ lÌ Ü ü ì\ì Œ L < , \ üŒ | Ì  l ì œ¬ œ üüì¼ü¼Ì¬Œ œ Ì ü |Ìœ¬œ¼<¬l \ ¼  ¼ì<ì¼ <l,¬ \Œ¼œ¬lü¬ l L \ ¬  ü/|lœ<| ¼lŒ¬,\Üì,üì<œüü |ìÌL\<Ì , ̬ ¼üìLL\ l Œ¬ ܼ ¼ Œ œ¬ll l Œ¼<ìlLlÜ  |ì¼ìL¼<ìl¼< \ | ¼ lŒl l œ¬¼ lüŒ¬¬l œ¼ì<¬ ü\ l \  ¼lܼl| ¼¼| œœÜ\ \ œ ¼ Ü <   42ÿÿÿÿÿÿÿÿÿ Times New RomandÀÀÀIntroduction63ÿÿÿÿÿÿÿÿÿCentury GothicdÀÀÀMain Menu85ÿÿÿÿÿÿÿÿÿ Century GothicdÀÀÀModel Specifications:7ÿÿÿÿÿÿÿÿÿ Times New RomandÀÀÀSocio-Ecological Regions (SERs)<9ÿÿÿÿÿÿÿÿÿ Times New RomandÀÀÀModeled Watersheds>;ÿÿÿÿÿÿÿÿÿ€ Century GothicËÀÀÀNamibia Supply and Demand Model@=ÿÿÿÿÿÿÿÿÿ Century GothicqÀÀÀSurface Water BalanceB?ÿÿÿÿÿÿÿÿCentury Gothic‚ÀÀÀBasin ReservoirDAÿÿÿÿÿÿÿÿÿ Century GothicMdÀÀÀWater DemandsFCÿÿÿÿÿÿÿÿÿTimes New RomandÀÀÀWater ScenariosJEÿÿÿÿÿÿÿÿÿCentury Gothic dÀÀÀRunning the Model Jz›¬¹H¡7L¿¯¯ÈÓFB Ü‘&ÿ€0SER Water Resources Modelº¶ × 9PÿThis model was developed by the Population Project at the International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria.¾¹ És@@ÿSupport for this project came from the European Commission (DG VIII - Directorate-General for Development, Contract No. B7-6200/96-18/VIII/ENV).‚ ÏÉ"#ÿThis program was written by Molly E. Hellmuth, Kenneth M. Strzepek, and David N. YatesB@ Ò‰ÿCopyright © 2001, IIASA20 ¼B”&ÿ€0NAMIBIAfa Ú;g&ÿÀÀÀÿCentury GothicClick here to explore...h® *@Qbt…”£³Æ×âðÿH¡7L¿¦¦È62 ª+¯(ÿ€0Main MenuJH ësñÿClick on underlined topics for more informationVT 6Œ9ÿor scroll through the model by clicking Page Up / PageDown.B= —Ý–ÿ€MODEL SPECIFICATIONSB@ ºd¸ÿ€SUPPLY AND DEMAND MODELFD ׉Ôÿ€SURFACE WATER BALANCE MODELB> ¯ÿ€BASIN RESERVOIR MODEL:6 oÙmÿ €WATER DEMANDS:8 uwÿ €WATER SCENARIOS>: ƒ5†ÿ€RUNNING THE MODELJF èæÿ€MAP: SOCIO-ECOLOGICAL REGIONSB@ µ)µÿ€MAP: MODELED WATERSHEDS*( ÔOBÿ€€62 ¼s<ÿÀÀÀÿ Next Page:6 8s<ÿÀÀÀÿ Previous Page:5 ]º`ÿ€INTRODUCTIONX¥ J[ixH¡7L¿ÍÍȆÿ ÖKA[ÿÿThis model runs on a monthly time step. There are four variables that are entered in exogenous data files - precipitation, temperature, maximum soil capacity and vapor pressure. 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Ìâÿÿÿÿ Comic Sans MS /˜) BÓ½BÆ*( Œ@] ÿ€€€€€€ *( l4c ÿ€€€€€€  |÷$ ÿ" G6ÿÿÿÿ " 8ëìÿÿÿÿ " 8®Þÿÿÿÿ  0•îÿNKÉíNd9í 0ûí"*( û <(ÿ  0+*ÿS0+{SPd+D 0+]!*( û]( ( *( _\; UT¯\OTû1*( l3¬(ÿ€€€€€€ XT•…O¬ 1O’ OZþT¦_0çò*( ü­(ÿ€€€€€€ " T79©ÿÿÿÿ *( ,o1(ÿ€€€€€€ a7v*( J(ÿ€€€€€€ *( œ?(ÿ€€€€€€ d(*( œ&ÿ(ÿ€€€€€€ f0.ç*( ÌÅ(ÿ€€€€€€ h8ج*( l/¹(ÿ€€€€€€ jB/«*( œ/¹(ÿ€€€€€€ lB/«62 ê€<ÿÀÀÀÿ Main Menu:6 g€<ÿÀÀÀÿ Previous Page62 i€<ÿÀÀÀÿ Next Pageðì '7>IT_ju€‡’¤ª°·ÂÌÒØßêû +28>O`gmsz…–œ§­¾ÇØßåëö !'29?ELWbmv‡’˜Ÿ¥¬µ¾ÇÐÙâíø"(.;AGRX^ekqxƒ‰’£®´¿ÅÐÖáçòø %06ALR[ixH¡7L¿ØØȆJH üÞH0ÿ Comic Sans MS*( L1` @ b>< iˆT)ÿ€2Supply Source Model 5 ÿ*( ëFÿ€€€ÿ€*( ¼`b ÿ€€€€€€ *( l_!V ÿ€€€€€€ *( l[j ÿ€€€€€€ *( œ{ c ÿ€€€€€€ *( | ‹` ÿ€€€€€€  l” ÿ*( ŒÂ" ÿ€€€ *( üÊ Š3@€ÀÿÀ€€€ 0ž–ÿ ˜dĘ 0é˜"*( œé¬, ÿ $ 08@ÿ8! d8è 08!*( Ìn3 ÿ B@  Õÿÿÿÿ Comic Sans MS 0þÿŒ! dŒ] 0ŒE!*( ÜÒEG  *( -{   \¯D^ ÿN,B@  @@ÿÿÿÿ Comic Sans MSB@ Yÿÿÿÿ Comic Sans MS 0e;ÿ'$c' dcé 0c!*( ì¹Z ÿ *( <éÐ0ÀÀÀ@ b )(Ñh (¿ß*( ¼ïŒ( ÿ€€€€€€ , ”‘B@( Æžÿÿÿÿ Comic Sans MS" (àÿÿÿÿ B@( &ÿÿÿÿ Comic Sans MS ¬éMK1@ê 1@Ë)*( |“²Pÿ€€€€€€ *( ,dÕ(ÿ€€€€€€ 5™×1@é| |Â>& \ÀZ$81Á=91º[*( ì&¢‚4ÿ€ÿ€Àÿ@@@ 0ö8ÿ@=ø@<døä 0øù!*( <1ù1(ÿ€€€€€€ *( ,}_(ÿ€€€€€€ *( <}_(ÿ€€€€€€ "  ^ÿÿÿÿ *( L‡Ã(ÿ€€€€€€ E=ß*( ì¿(ÿ€€€€€€ GÝ ü¶ÖHÿI Õ ¼V ÿ" KªÆÿÿÿÿ " (K 'ÿÿÿÿ " K3ÿÿÿÿ " Kø,ÿÿÿÿ "  Kžÿÿÿÿ " K°Dÿÿÿÿ *( ŒO¿(ÿ€€€€€€ *( lO¿(ÿ€€€€€€ *( Œç(ÿ€€€€€€ *( lç(ÿ€€€€€€  Ló¡ ÿ lT<=ÿW ‘+W8=W9K0( YøHÿ€€€ÿ[eJVe÷*( /g ÿ€€€ÿ^e8 ePP 0õÿd<õZdadõ" 0õA!*( 7A: (ÿ€€€  þ(" eAø‚ÿÿÿÿ *( <ñ(ÿ€€€€€€ h’*( <†oU&ÿ€€€ jx3*( ,Oe=!ÿ€€€ lAA3*( ,w+(ÿ€€€€€€ nP*( <½à(ÿ€€€€€€ p~ð*( L×(ÿ€€€€€€ rUï*( œÚ(ÿ€€€€€€ t Ð*( œQÝ(ÿ€€€€€€ v<KÕ*( 9Í(ÿ€€€€€€ *( üQÛ(ÿ€€€€€€y<KÔ*( LBm‰ ÿ€*( ³w-ÿ€€€€€€|{Ås" A{½4ÿÿÿÿ62 fßBÿÀÀÀÿ Main Menu:6 ÞßAÿÀÀÀÿ Previous Page62 îß@ÿ ÀÀÀÿ Next Page@× *5@FQWbq€˜©ºÌÝîùÿ !,2=CNT_epv‡’˜¥«¶ÁÇÒØãéôú '-8>IOZ`ks~„• ¦±·ÂÈÖåH¡7L¿GGÈó*( læ#(ÿÿ *( œåê(ÿÿ *( ¼çœ(ÿÿ *( léÛ2ÿÿ *( |¥Ù0 ÿ€€€ÿ€ OÙ*( ŒëØ@ ÿ€€€ÿ jØ*( | æ[(ÿÿ :6 ÎKù(ÿ€0Water Demands:7 úªNÿÿWater Use Rate2/ ˆ¨ ÿÿ€Driver*( èµ< ÿÿ B@ "èJÿÿÿÿ Comic Sans MSB@ "æÑÿÿÿÿ Comic Sans MSD@ "æ ÿÿÿÿ Comic Sans MSB@ "ç+ÿÿÿÿ Comic Sans MSB@ "æîÿÿÿÿ Comic Sans MS*( Üå8 ÿÿ fö*( ¼èß< ÿÿ iä*( œ Ws ÿÿ   Y*( 쮈= ÿÿ€ F‘*( Ì­ª< ÿÿ€ F¢*( ü ©_ ÿÿ ¡*( Ü ‡^ ÿÿ Œ’*( ̺õP ÿ€€€ÿ€ !Bî*( ¬¾ÑT ÿ€€€ÿ€ #BÞ*( Œ Z ÿ€€€ÿ€ % EZ0( |¸"M ÿÿ€ '@C"*( LãSÿ€€€€ *( ŒäP( ÿ€€€€€€ * ã@*( ìå( ÿ€€€€€€ , å*( çÆ( ÿ€€€€€€ . ç¸*( œçÆ( ÿ€€€€€€ 0 ç¸*( œä( ÿ€€€€€€ 2 æõ*( ¬â„( ÿ€€€€€€ 4 Þt*( ìâ„( ÿ€€€€€€ 6 Þt*( ¬ â„( ÿ€€€€€€ 8 Þt*(  º( ÿ€€€€€€ :! º*( < º( ÿ€€€€€€ <! º*( , ¾ñ( ÿ€€€€€€ ># ¾ã*( L ¾ñ( ÿ€€€€€€ @# ¾ã*( Lý#( ÿ€€€€€€ B ò*( \ ý#( ÿ€€€€€€ D ò*( \ÿ( ÿ€€€€€€ F õï*( l ÿ( ÿ€€€€€€ H õï62 ä<ÿÀÀÀÿ Main Menu:6 a<ÿÀÀÀÿ Previous Page62 c<ÿ ÀÀÀÿ Next PageHF ;ju€‹š¥ÍØÞéï6|ÂÍØÞéïú (H¡7L¿ËËÈ6*( L&³+ ÿÿ *( ƒ ÿÿ ni „³ ÿ To change temperature and climate series, change this parameter:º· Ÿç%ÿ To Consider the effects of transient temperature changes in Temperature and Precipitation, Turn Climate Change to ON by setting it equal to 1.*( Ü=áA ÿÿ *( ,04 ÿ *( ¼$Ú4 ÿÿ :8 ž&ä&ÿ€0Water Scenarios*( Ü(u, ÿÿ ž™ $ÿ To view results on a monthly time scale change "time scale" to zero, for a yearly time scale, change value to 1.*( L=‡B ÿ€€€ÿ 2©*( l*Ð(ÿ€€€€€€ 'Ô  80,ÿ To consider the effects of industrial efficiency and no growth in water use per capita, turn demand side on by changing value to 1. Industrial efficiency makes industrial water use more efficient (SEE BELOW) as we move from 2002 to 2021. ¡(ÿ To consider the effects of higher water use efficiency in industrial use, please modify Efficiency variable to incorporate the percentage reduction in water use . This will gradually become more efficient as we move from 2002 to 2021. — %ÿ€ÿConsider the effects of various scenarios by comparing the "Supply versus Demand Ratio" -- which represents water stress. Values between 5 and 2.5 indicate that the system is under stress, while values below 2.5 represent high stress.*( ìBúFÿ€ÿ*( M!(ÿ€€€€€€J*( M!(ÿ€€€€€€J*( üM!(ÿ€€€€€€J*( b8+ÿ€62 ¾O<ÿÀÀÀÿ Main Menu:6 ;O<ÿ ÀÀÀÿ Previous Page62 =O<ÿ ÀÀÀÿ Next PageLÊ /Wƒ¢¼ÍØæH¡7L¿¦¦Èõ>: ÇQ#(ÿ€0Running the ModelVT Šàÿ€The model may be run in a variety of ways. žš ïõW+ÿ1. Go to the Scenarios View and click on the Set up a Simulation button on the Main Toolbar and change the highlighted variables.®¬ ÞKG5ÿ2. Click on Stop Simulation Setup, name the simulation in the Name the Simulation box, and click on the Run a Simulation button on the Top Toolbar.zw ó­Z ÿ3. 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‡œR•Œ²•°&®º•,²•°%¦ @%•<²•°$¦@%•<²•°(¦@'¦@@z•²•°&®º¦333@±¦Há @±¦š™9@±¦ÍÌ,@±¦Í̬?±¦š™@±¦h‘­>±¦@±¦ @±¦ÍÌ,@±¦333@±¦@±¦{@±¦ff@±¦ff&@±¦ @±¦33@‡, '‡ìz•L²•°&®º¦$V O±¦êVzP±¦QA²Q±¦P©Q±¦ŽR±¦·ÁQ±¦ ~R±¦šnªR±¦Ž in humid climates, this value is 1.26, in arid climates 1.74solar declination"Maximum possible daylight hourscloudiness fator¶Ability to provide the energy required for evaporation. Amount of heat needed, in clories or MJ/K, to evaporate one gram of water at one atmosphere pressure to vapor>>539 cal/gm.sunset hour angle’Net Radiation--net input of radiation at the surface at any instant. The difference between the radiation absorbed Ri(1-a), and that emitted,Re.Evaporationsaturated vapor pressure.slope of the saturate vapor pressure curveRData file to be used. Monthly temperature time series, Celcius. Air temperature.hpa hundreds of pascalslatitude of site>Reference crop Evaporation is used as the same thing as PET.ÞFOR SER1, Data from Bokaa dam, which has a similar storage capacity of SER1, was used. This dam has "bad" characteristics, which I thought would best mimic an open canal distribution system.For SER2, the surface area to capacity information from the Namibian DWA was used from Von Bach, and an extra val;ue was extrapolated onto the end to extend over the supply available for SER2.For SER3, the surface area to capacity information from the Namibian DWA was used for Hardap.ÒThis describes the level of infrastructure currently found in each Macro watershed. These scalars should not exceed a sum of 1 across SER's for each Basin (i.e. INFRA1[CD] + INFRA2[CD] + INFRA3[CD]<= 1BMajor surface supply dams which supply the three namibian SER'sBPositive values inidicate that demand exceeds available supply&The time step for the simulation.¾The inital volume represents the estimated annual sustainable yield. So, there is actually assumed to be a full years supply at the beginnninbg of the simulations. 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