(a) Estimate the net stumpage value of a Douglas fir stand that is 60 years old.


To estimate the net stumpage value of a Douglas fir stand that is 60 years old, we generally need the following key pieces of information:

1. **Volume of timber**: The amount of marketable timber available in the 60-year-old Douglas fir stand. This is typically measured in board feet (BF) or cubic meters (m³) per acre.

2. **Stumpage price**: The price paid per unit of timber (usually per thousand board feet or cubic meter) for the rights to harvest the timber. Stumpage prices vary depending on region, market conditions, and timber quality.

3. **Logging costs**: The expenses associated with harvesting the timber, which include cutting, hauling, and transportation.

4. **Management costs**: Any other costs associated with maintaining and managing the forest stand, such as replanting or regulatory fees.

The formula for the **net stumpage value** is as follows:

\[
\text{Net Stumpage Value} = (\text{Timber Volume} \times \text{Stumpage Price}) - \text{Logging Costs} - \text{Management Costs}
\]

### Steps to estimate:
1. **Estimate Timber Volume**: Use growth and yield models specific to Douglas fir to estimate the amount of timber that can be harvested at 60 years.
   
   For example, if we estimate a stand to produce **35,000 board feet per acre** at 60 years:
   \[
   \text{Timber Volume} = 35,000 \text{ board feet}
   \]

2. **Find the Stumpage Price**: Stumpage prices fluctuate, but a typical range could be **$350 per 1,000 board feet** (MBF).
   \[
   \text{Stumpage Price} = 350 \text{ dollars per MBF}
   \]

   So for 35 MBF (35,000 BF):
   \[
   \text{Gross Revenue} = 35 \times 350 = 12,250 \text{ dollars per acre}
   \]

3. **Deduct Logging and Management Costs**: Suppose the combined logging and management costs are estimated to be **$4,000 per acre**.

\[
\text{Net Stumpage Value} = 12,250 - 4,000 = 8,250 \text{ dollars per acre}
\]

Thus, the **net stumpage value per acre** of the Douglas fir stand at 60 years would be approximately **$8,250**.

Would you like more details on any specific part of this calculation?

### Related Questions:
1. How do different regions affect stumpage prices?
2. What are the key factors influencing timber volume growth in Douglas fir stands?
3. What are typical logging costs per acre in different regions?
4. How does the age of a Douglas fir stand impact timber quality?
5. What management practices can increase the stumpage value of a forest stand?

### Tip:
Forest management techniques, such as thinning and pruning, can significantly enhance both timber quality and net stumpage value over time.

Estimate the net stumpage value of a Douglas fir stand that is 60 years old.

Learn how to estimate the net stumpage value of a 60-year-old Douglas fir stand. This guide covers timber volume estimation, stumpage price calculation, and cost deductions, leading to an approximate net value of $8,250 per acre. Suitable for high school students with knowledge of economics and mathematics.

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