Browsed relative growth behavior

This behavior simulates herbivory by allowing trees to grow at different rates when browsed versus unbrowsed.

Parameters for this behavior

Parameter nameDescription
Asymptotic Diameter Growth (A) Asymptote of the Michaelis-Menton growth function at high light - function term A below.
Slope of Growth Response (S) Slope of the Michaelis-Menton growth function at zero light - function term S below.
Relative Michaelis-Menton Growth - Diameter Exponent The exponent to be used with diameter when calculating relative growth.
Browsed Asymptotic Diameter Growth (A) Asymptote of the Michaelis-Menton growth function at high light when a plant has been browsed.
Browsed Slope of Growth Response (S) Slope of the Michaelis-Menton growth function at zero light when a plant has been browsed.
Browsed Diameter Exponent The diameter exponent for growth when a plant has been browsed.

How it works

Trees grow according to the relative growth version of the Michaelis-Menton function. The same function is used for both browsed and unbrowsed trees, but the parameters are different. The function is:

where:

Growth is compounded over multiple timesteps with the equation:

G = ((Y + 1)T - 1) * diam X

where:

Whether or not a tree is browsed is determined by the Random browse behavior.

How to apply it

This behavior can be applied to seedlings, saplings, and adults of any species. Any tree species/type combination to which it is applied must also have a light behavior and the Random browse behavior applied. You can use either the diam with auto height or diam only version.