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The second calculation is the theoretical ET. The theoretical volume of ET lost per day is given by (Lindsey and Bassuk, 1991) | The second calculation is the theoretical ET. The theoretical volume of ET lost per day is given by (Lindsey and Bassuk, 1991) | ||
− | <math>ET = CP | + | <math>ET = (CP) (LAI) (E_{rate}) (E_{ratio})</math> |
Where: | Where: | ||
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− | <math>CP = Π (d/2) | + | <math>CP = Π (d/2)^2</math> |
where: | where: |
Credits are discussed for volume, phosphorus and total suspended solids (TSS).
Volume credits for tree trenches and tree boxes includes water that infiltrates into the underlying soil, water that is intercepted by the tree canopy, and water that is taken up and evapotranspired by trees.
Two calculations are needed to determine the evapotranspiration (ET) credit. First is the volume of water available for ET. This equals the water stored above an underdrain between field capacity and the wilting point.
The second calculation is the theoretical ET. The theoretical volume of ET lost per day is given by (Lindsey and Bassuk, 1991)
\(ET = (CP) (LAI) (E_{rate}) (E_{ratio})\)
Where:
The canopy projection area (CP) is the perceived tree canopy diameter at maturity and is given by
\(CP = Π (d/2)^2\)
where:
CP varies by tree species. Please refer to the Tree Species List for these values.
The leaf area index (LAI) should be stratified by type into either
These values are based on collected research for global leaf area from 1932-2000 (Scurlock, Asner and Gower 2002).
The evaporation rate (Erate) per unit time can be calculated using a pan evaporation rate for the givenarea, as available at NOAA. This should be estimated into per day value. The evaporation ratio (Eratio) is the equivalent that accounts for the efficiency of the leaves to transpire the available soil water or, alternately, the stomatal resistance of the canopy to transpiration and water movement. This is set at 0.20, or 20 percent based on research by Lindsey and Bassuk (1991). This means that a 1 square centimeter leaf transpires only about 1/5 as much as 1 square centimeter of pan surface.
It is recommended that calculations be based over a three day period.
To determine the credit, compare the volume of water available for ET to the theoretical ET over a 3 day period. The credit is the smaller of these two values.