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[[File:Cistern Size.png|thumb|Schematic diagram of the inputs and outputs to a rainwater harvesting cistern]]
[[File:Cistern Size.png|thumb|Schematic diagram of the inputs and outputs to a rainwater harvesting cistern]]
===Simple===
===Simple===
Five percent of the average annual yield can be estimated
Five percent of the average annual yield can be estimated:
$$Y_{0.05} = A \times C_{vol,A}\times R_{a} \times e \times 0.05$$
$$Y_{0.05} = A \times C_{vol,A}\times R_{a} \times e \times 0.05$$
where:
where:
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*''R<sub>a</sub>'' &#61;  The average annual rainfall depth (mm)
*''R<sub>a</sub>'' &#61;  The average annual rainfall depth (mm)
*''e'' &#61; The efficiency of the pre-storage filter}}
*''e'' &#61; The efficiency of the pre-storage filter}}
*Filter efficiency (e) can be reasonably estimated as 0.9 pending manufacturer’s information.<br>
*Filter efficiency (''e'') can be reasonably estimated as 0.9 pending manufacturer’s information.<br>
*In a study of three sites in Ontario, STEP found the annual ''C<sub>vol, A</sub>'' of the rooftops to be around 0.8 [http://www.sustainabletechnologies.ca/wp/home/urban-runoff-green-infrastructure/low-impact-development/rainwater-harvesting/performance-evaluation-of-rainwater-harvesting-systems-toronto-ontario/]. This figure includes losses to evaporation, snow being blown off the roof, and a number of overflow events.
*In a study of three sites in Ontario, STEP found the annual ''C<sub>vol, A</sub>'' of the rooftops to be around 0.8 [http://www.sustainabletechnologies.ca/wp/home/urban-runoff-green-infrastructure/low-impact-development/rainwater-harvesting/performance-evaluation-of-rainwater-harvesting-systems-toronto-ontario/]. This figure includes losses to evaporation, snow being blown off the roof, and a number of overflow events.


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Then the following calculations are based upon two criteria:
Then the following calculations are based upon two criteria:
#A design rainfall depth is to be captured entirely by the RWH system.
#A design rainfall depth is to be captured entirely by the RWH system.
#The average annual demand (D) is greater than the average annual yield (Y) from the catchment.  
#The average annual demand (''D'') is greater than the average annual yield (''Y'') from the catchment.  


When \(Y_{0.05}/D_{0.05}<0.33\), the storage volume required can be estimated:
When \(Y_{0.05}/D_{0.05}<0.33\), the storage volume required can be estimated:
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*''e'' &#61; The efficiency of the pre-storage filter.}}
*''e'' &#61; The efficiency of the pre-storage filter.}}


*Careful catchment selection means that the runoff coefficient, for a rainstorm event (C<sub>vol, E</sub>) should be 0.9 or greater.
*Careful catchment selection means that the runoff coefficient, for a rainstorm event (''C<sub>vol, E</sub>'') should be 0.9 or greater.
          
          


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