Question:
A stand of Deodar of first quality at the age of 70 years have volume of 100 cubic meter and vulume at ten years ago was 70 cubic meter,while the thinning was carried out five yeays ago yielded 10 cubic meter. Then the increment per cent(p) by Presseler's formula will be equal to:
A stand of Deodar of first quality at the age of 70 years have volume of 100 cubic meter and vulume at ten years ago was 70 cubic meter,while the thinning was carried out five yeays ago yielded 10 cubic meter. Then the increment per cent(p) by Presseler's formula will be equal to:
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Always include the thinning volume \( T \) in both the numerator (with a positive sign, as it is part of the total growth) and the denomitor when using Presseler's modified formula.
This ensures an accurate estimation of the stand's biological growth rate.
This ensures an accurate estimation of the stand's biological growth rate.
Updated On: Jul 28, 2026
- 4.44
- 44.4
- 4.00
- 0.44
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
In forest mensuration, the volume increment percent of a tree stand represents the rate of volume growth over a specific period.
Presseler's formula is a standard method used to estimate this increment percentage, especially when intermediate yields (such as thinnings) are obtained during the period.
Key Formula or Approach:
The generalized Presseler's formula for volume increment percent \( p \), accounting for intermediate thinning volume \( T \), is expressed as:
\[ p = \frac{V_2 - V_1 + T}{V_2 + V_1 + T} \times \frac{200}{n} \]
where:
- \( V_2 \) is the present volume of the stand.
- \( V_1 \) is the volume of the stand at the beginning of the period.
- \( T \) is the volume of timber removed in thinning during the period.
- \( n \) is the number of years in the period.
Step 2: Detailed Explation:
Let's substitute the given values into the formula:
- Present volume, \( V_2 = 100 \text{ m}^3 \)
- Volume ten years ago, \( V_1 = 70 \text{ m}^3 \)
- Thinning volume, \( T = 10 \text{ m}^3 \)
- Time period, \( n = 10 \text{ years} \)
Calculating the numerator:
\[ V_2 - V_1 + T = 100 - 70 + 10 = 40 \text{ m}^3 \]
Calculating the denomitor:
\[ V_2 + V_1 + T = 100 + 70 + 10 = 180 \text{ m}^3 \]
Now, calculate the increment percent \( p \):
\[ p = \frac{40}{180} \times \frac{200}{10} \]
\[ p = \frac{4}{18} \times 20 \]
\[ p = \frac{80}{18} \approx 4.44\% \]
The calculated value matches Option (A).
Step 3: Fil Answer
The volume increment percent according to Presseler's formula is 4.44%.
In forest mensuration, the volume increment percent of a tree stand represents the rate of volume growth over a specific period.
Presseler's formula is a standard method used to estimate this increment percentage, especially when intermediate yields (such as thinnings) are obtained during the period.
Key Formula or Approach:
The generalized Presseler's formula for volume increment percent \( p \), accounting for intermediate thinning volume \( T \), is expressed as:
\[ p = \frac{V_2 - V_1 + T}{V_2 + V_1 + T} \times \frac{200}{n} \]
where:
- \( V_2 \) is the present volume of the stand.
- \( V_1 \) is the volume of the stand at the beginning of the period.
- \( T \) is the volume of timber removed in thinning during the period.
- \( n \) is the number of years in the period.
Step 2: Detailed Explation:
Let's substitute the given values into the formula:
- Present volume, \( V_2 = 100 \text{ m}^3 \)
- Volume ten years ago, \( V_1 = 70 \text{ m}^3 \)
- Thinning volume, \( T = 10 \text{ m}^3 \)
- Time period, \( n = 10 \text{ years} \)
Calculating the numerator:
\[ V_2 - V_1 + T = 100 - 70 + 10 = 40 \text{ m}^3 \]
Calculating the denomitor:
\[ V_2 + V_1 + T = 100 + 70 + 10 = 180 \text{ m}^3 \]
Now, calculate the increment percent \( p \):
\[ p = \frac{40}{180} \times \frac{200}{10} \]
\[ p = \frac{4}{18} \times 20 \]
\[ p = \frac{80}{18} \approx 4.44\% \]
The calculated value matches Option (A).
Step 3: Fil Answer
The volume increment percent according to Presseler's formula is 4.44%.
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