Question

In the graph of species-area relationship, what does the slope of the line represent when plotted on a log-log scale?

• A. Carrying capacity
• B. Regression coefficient \( Z \)
• C. Population density
• D. Natality rate

Hint:

In the equation \( \log S = \log C + Z\log A \), the coefficient of \( \log A \) always represents the slope.

Answer 1

The Correct Option is B

Concept: When the species-area relationship equation is converted into logarithmic form, it becomes a straight-line equation.

Step 1: Writing the original equation.
\[ S = CA^{Z} \]

Step 2: Taking logarithm on both sides.
\[ \log S = \log C + Z \log A \] This equation is similar to: \[ y = mx + c \] where:

• \( y = \log S \)
• \( x = \log A \)
• \( m = Z \) (slope)

Step 3: Determining the slope.
Hence, the slope of the graph is: \[ Z \] which is called the regression coefficient.