Defining reliability for rainwater harvesting systems

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1 19h Inernaional Congress on Modelling and Simulaion, Perh, Ausralia, December 2011 hp://mssanz.org.au/modsim2011 Defining reliabiliy for rainwaer harvesing sysems C.W. Baek a and N. A. Coles a a Cenre for Excellence in Ecohydrology, School of Environmenal Sysems Engineering, The Universiy of Wesern Ausralia, Wesern Ausralia chun.baek@uwa.edu.au Absrac: Rainwaer harvesing sysems such as roof-rainank waer harvesing sysems for inernal domesic use, and arificial cachmen rainfall-runoff harvesing sysems conneced o farm dams for agriculural purposes, have many advanages as susainable waer resources. Rainwaer harvesing sysems can provide adequae high qualiy waer across significan areas of Wesern Ausralia (WA) ha do no have access o he comprehensive waer supply scheme. Declining rainfall rends in souh-wesern Ausralia due o climae variabiliy make rainwaer harvesing sysems more significan as a waer resource for isolaed farms and communiies in arid and semi-arid areas (whea-bel and pasoral areas) in WA. The design of cachmen-dam sysems, especially size of dam and cachmen, will impac he efficiency and cos of consrucion of he sysem, in arid and semi-arid areas of WA and hey are generally deermined o saisfy he argeed demand reliabiliy of cachmen-dam sysems. The reliabiliy of cachmen-dam sysems can be defined as he probabiliy ha he sysem will supply a required demand of waer during a specified ime. The resul of waer balance simulaions for he design of harvesing sysem can be affeced by ime inerval for he waer balance simulaion such as daily, weekly or monhly calculaion. The pracical reliabiliy of cachmen-dam sysems can be defined using available waer supply demand or period wih waer supply failure. Deerminaion of he modelling ime inerval and he definiion of reliabiliy will herefore be a criical design facor for waer supplies. Evaporaion from a farm dam will be affeced no only by weaher condiions (e.g. emperaure, wind) bu also by dam design characerisics such as surface area. Therefore, cachmen-dam designs will reurn differen waer balance simulaion resuls han hose for roof-rainank sysems, in arid and semi-arid climaes. Farm dams undergo significan waer loss hrough evaporaion while roof-rainank sysems (if capped) are unaffeced by evaporaive losses. The definiion of he reliabiliy of a rainwaer harvesing sysem is a significan facor in deermining he demand reliabiliy ha may resul in he under-esimaion or over-esimaion of supply efficacy and reliabiliy, paricularly in dry climaes. Simulaion process for he reliabiliy of rainwaer harvesing sysem has no grea difference depending on which modeling ime inerval and he definiion of reliabiliy are applied. However, here is he variabiliy in he calculaed reliabiliy considerably depending on regional condiions. This paper assesses his variabiliy in he reliabiliy of cachmen-dam sysems hrough an evaluaion of he influence of he modelling ime inerval for he waer balance simulaions; and he definiion of reliabiliy. The reliabiliy of cachmen-dam sysems for en sies locaed in dryland agriculural areas of WA are evaluaed using daily and weekly modelling ime inervals and five definiions of reliabiliy (volume-based esimaion, daily, weekly, monhly, and annual period-based esimaions). Evaluaion resuls indicae ha using annual period-based esimaion for reliabiliy is no suiable for arid and semi-arid areas in WA due o he risk of under-esimaion. When he cycle of agriculural aciviy and waer demand in WA is considered, volume-based esimaion, and daily and weekly period-based esimaions have he risk of over-esimaion. Therefore, he use of monhly period-based esimaion is recommended for he design of arificial waer harvesing sysems in he dryland agriculural areas in souh wes WA. Keywords: Rainwaer Harvesing Sysem, Waer Balance Simulaion, Reliabiliy. 3818

2 Baek and Coles, Defining reliabiliy for rainwaer harvesing sysems 1. INTRODUCTION Small scale agriculural reservoirs or waer anks are sill he major waer supply sources for almos all rural areas in Wesern Ausralia (WA), in spie of he fac ha 90% of he populaion in WA are serviced by he comprehensive waer supply scheme and local waer supply schemes (Waer Corporaion, WA, 2005). Recharging hese waer sorages by capured rainfall-runoff from naural cachmens or cared waer by using rucks is neiher efficien, nor cos effecive. Rainwaer harvesing sysems (RHS) such as arificial cachmen-dam rainfall-runoff harvesing sysems conneced o farm dams have many advanages as susainable waer resources. RHS can provide sufficien high qualiy waer across significan areas of WA ha do no have access o he comprehensive waer supply scheme. Declining rainfall rends in souh-wesern Ausralia (Bureau of Meeorology, Ausralia, 2011) associaed wih climae change make cachmen-dam sysems and heir designed reliabiliy more significan as a waer resource for isolaed farms and communiies in arid and semi-arid areas in WA (Baek and Coles, 2011). The design of he key componens of RHSs such as he arificial cachmen, sorage dam, and he connecing channel impacs he efficiency and he cos of hese sysems. In souh-wesern Ausralia rainfall is delivered as banded fronal paerns during he winer season or hrough inense summer hundersorm aciviy (Baek and Coles, 2011). Arificial cachmens and sorage dam design combinaions are generally deermined o saisfy a argeed demand reliabiliy. Reliabiliy is defined as he probabiliy ha he dam-cachmen combinaion will supply a required demand for waer during a specified ime. Available waer supply can be calculaed by waer balance simulaion based on cachmen size, dam volume, rainfall, waer demand, and evaporaion losses. The resulan waer balance simulaion will be applied o esimae he reliabiliy. The resul of waer balance simulaion for he design of a RHS can be affeced by he modelling ime inerval for he waer balance simulaion such as daily, weekly or monhly calculaion inervals (Cowden e al., 2008; Basinger e al., 2010; and Baek, 2010). Pracical reliabiliy of he sysem can be defined using available waer supply amoun (volume-based esimaion, VE) or he ime period wih waer supply failure (period-based esimaion, PE) (Baek and Coles, 2011). Deerminaion of he modelling ime inerval and definiion of reliabiliy won make grea difference in simulaion process for he design of RHS such as compuaional ime. Bu hey will be criical facors for waer supply design. For example, variaion of reliabiliy caused by variaion in modelling ime inervals has been repored by previous sudies (Basinger e al., 2010; and Kahinda e al., 2010) bu hese sudies mainly focused on roof-rainank sysems. Evaporaion from a farm dam will be affeced no only by climaic condiions (emperaure, wind, ec) bu also by dam characerisics such as size, volume and exposure (Farmer and Coles, 2003). Farm dams also undergo significan waer loss hrough evaporaion while roof-rainank sysems (if capped) are unaffeced by evaporaive losses (Khasagir and Jayasuriya, 2010). Therefore, farm dams will demonsrae a differen paern of variance for waer balance simulaions han roof-rainank sysems. The definiion of he reliabiliy of a waer supply (VE or PE) will also generae a wide range of he reliabiliy of he sysem. Therefore, appropriae definiion of he reliabiliy of a cachmen-dam sysem mus be he firs criical design facor evaluaed and defined. Suiable modeling ime inerval or definiion of reliabiliy for a specific region mus be deermined no only by calculaed reliabiliy bu also by regional condiion considered by decision maker. This paper assesses he variabiliy in he reliabiliy of cachmen-dam sysems hrough an evaluaion of he influence of he modelling ime inerval for he waer balance simulaions and he definiion of reliabiliy. The reliabiliy of cachmendam sysems for en sies locaed in dryland agriculural areas of WA is evaluaed using daily and weekly modelling ime inervals and five definiions of reliabiliy. 2. ROADED CATCHMENTS A roaded cachmen (Figure 1) will be used o represen he arificial cachmen in he simulaion sudy. Roaded cachmens in various forms have been uilised for harvesing rainfall-runoff in WA since he 1960s (Coles e al., 2004) o improve he reliabiliy and efficiency of naural cachmens by grading, compacing and sealing he surface of he cachmen. The roaded cachmen is suied o he low and moderae inensiy rainfall paerns in WA and i is presumed ha beween 2,000~3,000 roaded cachmens have been consruced and used in WA for agriculural purposes. Figure 2 shows he srucure of a ypical farm dam used for waer sorage (Dep. of Agriculure, WA, 2005). A maximum dam deph of 5.0 m and baer slope of 1:3 are generally applied o he design of a farm dam in he dryland agriculural areas of Wesern Ausralia (Sanon, 2005). In he dryland agriculural areas of WA, defined as areas receiving less han 600 mm of rainfall per annum (Coles e al., 2000), summer evaporaion raes range around 300 mm/monh, and dam deph will decline by up o 70 mm, by evaporaion hrough one week wihou rainfall. This change in dam deph will also cause reduced waer surface area (Famer and Coles, 2004). For a farm dam, which has maximum sorage volume of 3,000 m 3, maximum dam deph of 5.0 m and baer slope of 1:3, weekly evaporaion loss simulaions calculaed using waer surface area of 1 s day of a week for he whole week; are greaer han using waer surface areas 3819

3 Baek and Coles, Defining reliabiliy for rainwaer harvesing sysems considering only daily change of dam deph by as much as 0.2~1.5 m 3. Therefore, calculaed reliabiliy using weekly modelling ime inerval can be lower han ha using a daily inerval. However, as menioned above, because exra rainfall can cover some proporion of waer deficiencies during he week, calculaed reliabiliy using weekly inerval will be greaer han ha using daily inerval. The variaion in deficiency paerns beween daily and weekly inervals will be described laer, and his analysis will be uilised o assess demand reliabiliy. Figure 1. Cachmen-dam sysem using a roaded cachmen Figure 2. Srucure of ypical farm dam 3. WATER BALANCE SIMULATION AND RELIABILITY 3.1. Waer Balance Simulaion Waer balance simulaions for he design of cachmen-dam sysems generally use a simple equaion. The volume of rainwaer mainained in he farm dam mainly depends on he runoff from a roaded cachmen, he demand me from he rainwaer, and he evaporaion from he farm dam. To mainain reliabiliy, enough waer in he dam is required o supply he demand wih minimum risk of he sorage failing (i.e. being empy). The equaion for waer balance simulaion used in his sudy is given in Eq. (1). S = S 1 + Q + Q D E, rc d 0 S S max (1) where, S is he sorage (dam) volume a he ime period () for a given simulaion, Q rc is he runoff from he roaded cachmen, Q d is he direc rainfall amoun o he dam, D is he oal demand for waer, E is he oal evaporaion from he dam and S max is he maximum dam volume Definiion of Reliabiliy Volume-based and period based esimaions (VE and PE) are used o define he reliabiliy for cachmen-dam sysems. VE (Eq. (2)) assesses he sysem reliabiliy using available waer supply and required waer demand during he simulaion period. PE (Eq. (3)) evaluaes he sysem reliabiliy using he oal number of simulaions and number of simulaions in which waer supply failure occurs. ( D De RHS ) R = (2) D T failure RHS ( N N ) R = (3) T N where, R RHS is he reliabiliy of he cachmen-dam sysem, D is he oal demand for waer on he h ime period, De is he oal deficiency for waer, N T is he oal number of waer balance simulaions, and N failure is he oal number of waer balance simulaions where he waer supply has failed Variabiliy in Reliabiliy As menioned, he resul of waer balance simulaion for he design of cachmen-dam sysems can be affeced by he modelling ime inerval (i.e. daily, weekly or monhly). The reliabiliy calculaed using longer inervals for he simulaion is generally beer(greaer) han ha of using shorer ime frames inervals because addiional sored rainfall can be carried forward during longer ime simulaions, and cover some proporion of waer deficiencies for he exended simulaion period. This is no possible during shor ime simulaion runs. In addiion, since agriculural aciviies generally have an annual cycle, he DAMCAT5 model (Baek, 2010), originally developed o assess demand-design reliabiliy for livesock waer supplies in dryland agriculural areas of souh-wesern Ausralia by 3820

4 Baek and Coles, Defining reliabiliy for rainwaer harvesing sysems he Deparmen of Agriculure, WA, adops an annual PE for reliabiliy esimaion. For example, one week failure and en weeks failures in one year will give he same reliabiliies wih DAMCAT5. However, he mos criical issue resuling for annual based reliabiliy esimaion (annual PE) is he increased poenial for he underesimaion of reliabiliy. However, reliabiliy using VE and daily or weekly PE may risk over-esimaion of reliabiliy based on he random characerisics of rainfall paerns (Baek and Coles, 2011). For example, a single day failure of waer supply for every 12 monhs in a year, and 12 days failure for one monh in one year will have a significanly differen simulaed reliabiliy. Rainfall, evaporaion and waer demand paerns will influence his failure paern and appropriae definiion of he reliabiliy is required o be deermined depending on local consumpion and climaic condiions. Selecion of he bes opion for he design of waer harvesing sysems is difficul as each mehod has boh advanages and disadvanages. This is due o uncerainy inheren in he rainfall delivery o he waer supply associaed wih iner-annual variabiliy and drying rends induced by climae variabiliy in he las wo decades. Selecion of he mos appropriae simulaion mehod such as VE or PE, and period (daily, weekly, monhly or annual) for PE is criical o deermining he arge demand reliabiliy. In his sudy, he reliabiliy of a cachmendam sysem is defined using five differen scenarios. Scenario 1 uses VE and Scenarios 2~5 are based on daily, weekly, monhly and annual PE, respecively. In addiion, wo modelling ime inervals (i.e. daily and weekly) are used for he evaluaion of reliabiliy because monhly inerval is no suiable for he waer balance simulaion for cachmen-dam sysems in arid and semi-arid areas due o he error caused by he difference in evaporaion losses. DAMCAT5 model was modified o calculae hese scenarios. Calculaed resuls are compared o sugges suiable definiion for he reliabiliy for use in arid and semi-arid areas a WA. 4. APPLICATION AND DISCUSSION 4.1. Research Sies and Climae Excep for he norhern region above Broome and some regions along he souh-wesern coasline, almos all pars of WA are classed as arid or semi-arid areas whose annual average rainfall is less han 600 mm (Figure 3). However, here are many farms, vineyards and pasures in souh-wes pars in WA (named he Wheabel division and Souh Wes Division by Insiuion of Engineers, Ausralia (2001)) ha are supplied wih waer from small o large on-farm dams, ha have a wide range of rainwaer harvesing (or conribuing) cachmens. Alhough farm dams are he major waer source, an increasing number of dam or waer supply failures or waer shorages have occurred in recen years due o changes in climae, an associaed decline in annual rainfall and/or a variaion in rainfall delivery paerns. Ten sies, whose annual average rainfall ranges from 300 o 500 mm, have been seleced from arid and semi-arid areas in WA (Figure 1), and he reliabiliy of cachmen-dam sysems are evaluaed using wo modelling ime inervals, daily and weekly and five reliabiliy scenarios (previously described). S1. Norseman S2. Merredin S3. Salmon Gums S4. Dowerin S5. Ongerup S6. Wagin S7. Jerramungup S8. Pingelly S9. Geraldon S10. Cranbrook Figure 3. Annual average rainfall of WA and Research sies 3821

5 Baek and Coles, Defining reliabiliy for rainwaer harvesing sysems 4.2. Reliabiliy Calculaion The reliabiliy of cachmen-dam sysems for a simulaion period of 60 years is calculaed using daily rainfall daa from 1950 o Waer balance simulaion for he firs year (1950) was excluded in he reliabiliy calculaion. For he purpose of hese simulaions a maximum dam volume of 2,000 m 3 and he roaded cachmen (arificial cachmen) area of 1.5 ha are assumed. (In his sudy, i was acceped ha dam and cachmen designs will vary wih sie condiions, rainfall, evaporaion and demand. The sizes given are for consisency in design performance evaluaion raher han adapaion o local condiions and demand) The rainfall-runoff hreshold value, which is for calculaion of rainfall loss prior o runoff generaion was se a 10 mm/day based on Laing (1981), and Baek (2010). DAMCAT5 model (Baek, 2010) provides regional daily livesock drinking rae (L/day) and monhly dam evaporaion rae (mm/monh) based on he resuls of Luke (1988) and hey are used o calculae waer demand and evaporaion. Number of livesock was assumed as 1,000. To include he variaion of evaporaion associaed wih variable dam surface area, i is also assumed ha he farm dam has recangular plan shape, baer slope of 1:3, and iniial sorage of 30% o maximum dam volume. Table 1 and Figure 4 display he simulaed resuls. Table 1. Comparisons of reliabiliy depending on he differen reliabiliy scenario Sie (ID) Ave. Rain (mm) Norseman (S1) 304 Merredin (S2) 327 Salmon Gums (S3) 357 Dowerin (S4) 357 Ongerup (S5) 387 Wagin (S6) 424 Jerramungup 440 (S7) Pingelly (S8) 444 Geraldon (S9) 455 Cranbrook (S10) 490 Time sep Volume-based esimaion (Sc. 1) Period-based esimaions Daily (Sc. 2) Weekly (Sc. 3) Monhly (Sc. 4) Annual (Sc. 5) D De R N T N failure R N T N failure R N T N failure R N T N failure R Daily 51,991 7, ,915 3, Weekly 51,967 7, Daily 53,799 6, ,915 2, Weekly 53,775 6, Daily 49,085 3, ,915 1, Weekly 49,066 3, Daily 55,242 5, ,915 1, Weekly 55,217 5, Daily 47,621 1, , Weekly 47,601 1, Daily 49, , Weekly 49, Daily 47, , Weekly 47, Daily 43, , Weekly 43, Daily 52,696 2, , Weekly 52,673 2, Daily 44, , Weekly 44, (a) using daily modelling ime ineval (b) using weekly modelling ime ineval Figure 4. Comparisons of reliabiliy depending on differen reliabiliy scenarios 3822

6 Baek and Coles, Defining reliabiliy for rainwaer harvesing sysems Resuls depending on he Reliabiliy Scenarios As shown in Table 1 and Figure 4, Scenario 1 and Scenario 2 show similar reliabiliy values for given condiions. The majoriy of rainfall in he souh-wes Ausralia is delivered in winer, wih a generally long dry summer season, where rainfall can be delivered from pos sub-ropical cyclonic evens or localised hunder sorms. In he majoriy of cases here is a waer defici prior o he winer rains. Noe ha Scenario 5 reas waer supply failure of 1 week in a year, as waer supply failure of he whole year, herefore he calculaed reliabiliy of Scenario 5 is lower han all oher cases. This highlighs he risk of under-esimaion using an annual PE. This paern is displayed in Figure 5, which shows percenile of monhly failures calculaed using a daily modelling ime inerval. Monhly waer supply failures are comparaively disribued from Jan o May (dry season) and rarely happen in he winer rainy season. Therefore, i is demonsraed ha Scenario 5 is no suiable for reliabiliy esimaion for arid and semi-arid areas in WA because of he risk of under-esimaion (or increased failure raes associaed wih single evens wihin a year). Figure 5. Percenile of monhly failure using daily modelling ime inerval Resuls depending on Annual Average Rainfall As shown in Table 1 and Figure 4, he reliabiliy of Scenario 5 is lower han oher scenarios as he annual average rainfall for hese regions is low and less reliable relaive o disance in-land from he coasal regions as rainfall declines from 600 mm o 300 mm per annum. This resul can be also explained by he seasonal rainfall paern of WA. Figure 6 compares monhly average rainfall of Norseman (S1, 304 mm), Merredin (S2, 307 mm), Geraldon (S9, 455 mm) and Cranbrook (S10, 490mm) regions. The difference in monhly average rainfall during winer (May~Aug) and summer (Sep~Apr) becomes greaer as average annual rainfall increases. Geraldon (S9) and Cranbrook (S10), which has more rainfall in he winer season han Norseman (S1) and Merredin (S2), have greaer opporuniies o harves rainwaer during his period. Therefore he roaded cachmens in he higher average annual rainfall areas have he poenial o generae significanly more runoff, hus improving reliabiliy. Noe ha no only does rainfall decline from he Souh-Wes o he Norh-Eas bu evaporaion increases. The combinaion of hese wo rends significanly impacs he reliabiliy of he dam-cachmen designs evaluaed in his simulaion. Figure 6. Monhly average rainfall for S1, S2, S9 and S10 sies Simulaion Resuls Figure 7 shows he difference in calculaed reliabiliy beween daily and weekly modelling ime inervals. Apar from S6 (scenario 4 and 5) and S5 (scenario 5), all he calculaed reliabiliies using weekly inerval are higher han hose using daily inerval. Reliabiliy using he weekly inerval is comparaively higher han ha of using daily inervals for dry regions. However hese differences are no as significan as hose described by Cowden e 3823

7 Baek and Coles, Defining reliabiliy for rainwaer harvesing sysems al. (2008) and Basinger e al. (2010) for he roofrainank sysems. The difference in he reliabiliy paern beween daily and weekly simulaions is caused by he addiional winer rainfall (posiive effec) and he variaion of dam surface area (negaive effec), which influences he waer balance simulaion. 5. CONCLUSIONS In his sudy, he variabiliy of he reliabiliy of cachmen-dam sysems is evaluaed using a waer balance simulaion model DAMCAT5. The waer supply reliabiliy for en sies locaed in he arid and semi-arid areas in WA has been esimaed using wo modelling ime inervals and five scenarios o assess reliabiliy, including: volume-based, and daily, weekly, monhly, and annual period-based esimaions. The Figure 7. Difference in reliabiliy beween daily and weekly modelling ime inervals research has suggesed ha using annual period-based esimaion (Scenario 5) is no suiable for arid and semi-arid areas in WA due o he elevaed risk of under-esimaion. When he cycle of agriculural aciviy is considered, Scenarios 1~3 risk over-esimaion of waer supply reliabiliy. The evaluaions have demonsraed ha monhly period-based esimaion (Scenario 4) for he design of roaded cachmen-dam waer harvesing sysems provide he bes resuls in arid and semi-arid areas of WA. REFERENCES Baek, C.W. (2010). DAMCAT5, Version 5.0 Tuorial. Deparmen of Agriculure and Food (WA), Available a: (accessed 04 May 2011). Baek, C.W. and Coles, N. (2011). Poenial of arificial cachmen rainwaer collecing sysems in he arid and semi-arid areas of Wesern Ausralia. Paper presened a he 4 h IWA-ASPIRE Conference & Exhibiion, IWA, Tokyo, Japan, Ocober 2-6. Basinger, M., Monalo, F., and Lall, U. (2010). A rainwaer harvesing sysem reliabiliy model based on nonparameric sochasic rainfall generaor. Journal of Hydrology, 392(3-4), Bureau of Meeorology, Ausralia (2011). Ausralian Climae Change and Variabiliy. Available a: (accessed 10 Jun 2011). Coles, N.A., Calin, T.J., Farmer, D., and Sanon, D. (2004). Waer managemen: Wha's in a name? Paper presened a he 13 h Inernaional Soil Conservaion Organisaion Conference (Conserving Soil and Waer for Sociey: Sharing Soluions, ISCO 2004), ASSSI, Brisbane, Ausralia, July 4-8. Coles, N.A., Hauck E.J., Simons, J.A., and Laing, I.A.F. (2000). Farm Waer Planning Sraegies for Dryland Agriculural Areas: Local and Regional Perspecives. Paper presened a he Xh World Waer Congress, IWRA, Melbourne, Ausralia, March Cowden, J.R., Wakins Jr., D.W., and Mihelcic, J.R. (2008). Sochasic rainfall modeling in Wes Africa: Parsimonious approaches for domesic rainwaer harvesing assessmen. Journal of Hydrology, 361(1-2), Deparmen of Agriculure, WA (2005). Farm dams in Wesern Ausralia. Bullein Farmer, D. and Coles, N.A. (2003). Assessing he sorage reliabiliy of farm dams. Resource Managemen Technical Repor 245. Deparmen of Agriculure, WA. ISSN Insiuion of Engineers, Ausralia (IEAus) (2010). Ausralian rainfall and runoff: A guide o flood esimaion. Pilgrim, D.H. (Edior), Vol. 1, IEAus, Canberra. Kahinda, J.M., Taigbenu, A.E. and Boroo, R.J. (2010). Domesic rainwaer harvesing as an adapaion measure o climae change in Souh Africa. Physics and Chemisry of he Earh, 35(13-14), Khasagir, A. and Jayasuriya, N. (2010). Opimal sizing of rain waer anks for domesic waer conservaion. Journal of Hydrology, 381, Laing, I.A.F. (1981). Evaluaion of small cachmen surface reamens. Ausralian Waer Resources Council Tech. Paper No. 61, Ausralian Governmen Publishing Service, Canberra, Ausralia. Luke, G.J. (1988). Consumpion of waer by livesock. Div. of Resource Managemen Technical Repor 60, W.A. Dep. of Agriculure. Sanon, D. (2005). Farm dams in Wesern Ausralia. Bullein 4609, Deparmen of Agriculure (WA), Ausralia. Waer Corporaion, WA (2005). Inegraed Waer Supply Scheme, Source Developmen Plan , An Overview. Available a: (accessed 04 May 2011). 3824

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