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3 trees are located is a sample plot of 15m X 15m. their dbh are as under:dbh= 25cm, 30cm, 35cm find the stand basal area in sq m per Ha

Question

3 trees are located is a sample plot of 15m X 15m. their dbh are as under:dbh= 25cm, 30cm, 35cm find the stand basal area in sq m per Ha

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Solution

To calculate the stand basal area in square meters per hectare, follow these steps:

  1. First, calculate the basal area of each tree using the formula: Basal Area = π * (DBH/2)^2. The DBH (Diameter at Breast Height) is given in cm, but we need to convert it to meters by dividing by 100.

    For the first tree: Basal Area = π * (0.25/2)^2 = 0.049 m^2 For the second tree: Basal Area = π * (0.30/2)^2 = 0.071 m^2 For the third tree: Basal Area = π * (0.35/2)^2 = 0.096 m^2

  2. Add up the basal areas of all trees to get the total basal area for the plot: 0.049 m^2 + 0.071 m^2 + 0.096 m^2 = 0.216 m^2

  3. The sample plot size is 15m x 15m = 225 m^2. To express the basal area per hectare (10,000 m^2), we need to scale up the sample plot. The scaling factor is 10,000 m^2 / 225 m^2 = 44.44 (approximately).

  4. Multiply the total basal area by the scaling factor to get the stand basal area per hectare: 0.216 m^2 * 44.44 = 9.6 m^2/ha (approximately).

So, the stand basal area is approximately 9.6 square meters per hectare.

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