Allometry Relation for Tree-Trunk Diameter and Height

Tree allometry establishes quantitative relations between tree-trunk diameter and height.

The height of a tree is proportional to the diameter to the 0.535 power.

Formula

QuantityVariable["H", "Height"] == Quantity[20.6`3., "Meters"]*(Quantity[1, "Meters"^(-1)]*QuantityVariable["D", "Diameter"])^0.535

Get the resource:

In[1]:=

$ResourceObject["Allometry Relation for Tree-Trunk Diameter and \ Height"]$

Out[1]=

Get the formula:

In[2]:=

Out[2]=

Use some values:

In[3]:=

$FormulaData[ ResourceObject[ "Allometry Relation for Tree-Trunk Diameter and Height"], \ {QuantityVariable["H","Height"] -> Quantity[5, "Meters"]}]$

Out[3]=