Question:

The formula based on the relationship between volume and increment was introduced by

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Hundeshogen = Ratio of actual/normal. Von Mantel = Simple Volume/Rotation. These are the two "Grandfathers" of yield math.
  • Von Mantel in 1852
  • Hundeshogen in 1826
  • D Brandis in 1896
  • Champion and Seth in 1922
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Question:
The question asks for the originator of a yield regulation formula that relies on the ratio between actual volume and increment. This is a classic concept in forest management and sustainability.
Detailed Explanation:

Concept: Yield regulation aims to ensure that the amount of wood harvested does not exceed the forest's ability to regenerate. One way to do this is by assuming that the yield should be proportional to the increment.

Hundeshogen's Formula (1826): Hundeshogen proposed that the yield ($Y$) of an actual forest should bear the same proportion to its actual volume ($V$) as the increment ($i$) of a normal forest bears to its normal volume ($V_n$). \[ Y = \frac{i}{V_n} \times V \] This was one of the earliest mathematical approaches to sustainability.

Comparison: - Von Mantel (1852) introduced a simpler formula based on volume and rotation ($Y = 2V/R$), assuming a normal distribution of age classes. - Brandis is famous for the Brandis Method used in teak forests of Burma (Myanmar). - Champion and Seth are famous for forest type classification, not yield formulas.

Step 2: Final Answer:

The formula based on the relationship between volume and increment was introduced by Hundeshogen in 18
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