Question

Von Mantel's formula of regulation of yield, which is based on the relationship between volume and increment is applicable to _______

• A. Regular even aged normal forest
• B. Regular uneven aged forest
• C. Irregular even aged forest
• D. Irregular even and uneven forest

Hint:

Von Mantel's formula simplifies yield regulation because it only requires knowing the total volume of the growing stock (\(V\)) and the rotation age (\(R\)), making it useful for initial forest management plans.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Von Mantel's formula is a classical method used to regulate timber yield based on the assumption that a normal forest maintains a specific relationship between its total growing stock and annual growth increment.
Key Formula or Approach:
Von Mantel's classical yield formula is: \[ Y = \frac{2V}{R} \] Where \(Y\) is the annual yield, \(V\) is the actual volume of growing stock, and \(R\) is the rotation age.

Step 2: Detailed Explanation:
- This formula assumes a perfectly normal, regular, even-aged forest with a uniform distribution of age classes from 1 year to the rotation age (\(R\)).
- In this idealized forest, the total volume of growing stock is represented as a triangular distribution, and the annual growth increment is exactly equal to the volume of the mature age-class harvested each year.
- Because it relies on these strict structural assumptions, the formula is theoretically applicable only to a regular even-aged normal forest.

Step 3: Final Answer:
Von Mantel's formula is applicable to a regular even-aged normal forest.