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What is the correct expression for calculating volume per acre using volume factors?

  1. Volume per tree x number of trees

  2. (∑(ni) x VFi) / np

  3. (# points x volume factor) / total area

  4. Volume factor x tree species diversity

The correct answer is: (∑(ni) x VFi) / np

The correct expression for calculating volume per acre using volume factors is derived from the concept of combining tree measurements and applying a conversion factor that accounts for the volume contribution of individual trees within a given area. The formula includes the sum of the product of the number of trees of each species (ni) times their corresponding volume factor (VFi). By dividing this total by the number of plots (np), you are effectively standardizing the total volume by the number of plots sampled, which allows for an accurate estimation of volume per acre based on sample data. This method is particularly useful in forest inventory and management, as it provides a systematic approach to estimate the total timber volume of a forested area while accounting for the variability in species size and density. Understanding how to utilize volume factors correctly is crucial for forest management practices, enabling better decision-making in terms of resource management and sustainability.