Question

The symbol \(r\) in population ecology represents

• A. Carrying capacity
• B. Natality rate
• C. Intrinsic rate of natural increase
• D. Mortality rate

Hint:

Population Growth Equations: Exponential Growth: \[ \boxed{\frac{dN}{dt}=rN} \] Logistic Growth: \[ \boxed{\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)} \] where \[ K=\text{Carrying Capacity} \] and \[ r=\text{Intrinsic Rate of Natural Increase} \]

Answer 1

The Correct Option is C

Step 1: Recall the population growth equation. For exponential population growth, \[ \frac{dN}{dt}=rN \] where \(N\) is the population size.

Step 2: Interpret the term \(r\). The parameter \(r\) represents the growth potential of a population under ideal environmental conditions. \[ r = \text{Intrinsic Rate of Natural Increase} \]

Step 3: Identify the correct option. Thus, \[ \boxed{r=\text{Intrinsic Rate of Natural Increase}} \] Therefore, \[ \boxed{\text{(C)}} \] is the correct answer.