What is the correct expression for basal area per tree according to the given formula?

What is the correct expression for basal area per tree according to the given formula?

• A. Basal area per tree = π × DBH^2
• B. Basal area per tree = BAF
• C. Basal area per tree = DBH × BAF
• D. Basal area per tree = 2 × BAF

Answer: (D)

Basal area per tree is the area of the cross-section at breast height that a single tree contributes to the stand. When using a Basal Area Factor (BAF) in sampling, each counted tree represents a fixed area of ground, but the sampling geometry effectively connects that representation to both sides of the line or the two halves around the tree. Because of that two-sided representation, the per-tree basal area expression becomes twice the BAF. In other words, the method defines the amount of basal area a single tree adds as 2 × BAF, rather than the raw BAF or the geometric cross-section π/4 × DBH^2. The other forms either ignore the BAF-based conversion or would give the actual geometric area, which isn’t the per-tree value used in this BAF-based estimation.

Basal area per tree is the area of the cross-section at breast height that a single tree contributes to the stand. When using a Basal Area Factor (BAF) in sampling, each counted tree represents a fixed area of ground, but the sampling geometry effectively connects that representation to both sides of the line or the two halves around the tree. Because of that two-sided representation, the per-tree basal area expression becomes twice the BAF. In other words, the method defines the amount of basal area a single tree adds as 2 × BAF, rather than the raw BAF or the geometric cross-section π/4 × DBH^2. The other forms either ignore the BAF-based conversion or would give the actual geometric area, which isn’t the per-tree value used in this BAF-based estimation.