Discussion
Which of the following equation is used to calculate the depth of available water(AW) to plants?
(Given: FCv- Volumetric Field Capacity
PWPv- Permanent wilting point percentages
Dr= Depth of root zone)
Answer: A
The equation is \(AW = [(FC_{v} - PWP_{v})\,D_{r}]/100\).
Available water is the water held between field capacity, the upper limit, and the permanent wilting point, the lower limit. With both as volumetric percentages, their difference times the root zone depth gives the depth of water available:
\[ \begin{aligned} AW &= \frac{(FC_{v} - PWP_{v})\,D_{r}}{100} \\ &= \frac{(30 - 15) \times 1000}{100} \\ &= 150\ \text{mm} \end{aligned} \]
The example uses \(FC_{v} = 30\%\), \(PWP_{v} = 15\%\) and a root zone of 1000 mm. The other options subtract the wrong way round, which gives a negative value, or divide by the depth instead of multiplying.
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