Modeling Species Diversity With Disturbance
For the model $$S(D) = a*D*e^{-b*D}$$ describing species diversity as a function of disturbance $$D$$, if maximum diversity occurs at $$D = 2$$, what is the required value of $$b$$?
TITLE: Table of Disturbance Levels vs. Species Diversity: #000000
| Disturbance (units) | Species Diversity |
|---|---|
| 0.5 | 1.2 |
| 1.0 | 2.0 |
| 2.0 | 2.7 |
| 3.0 | 2.5 |
A
$$b = 1$$
B
$$b = 2$$
C
$$b = 0.25$$
D
$$b = 0.5$$
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