The relation between specles richness and area Is described on a logarithmic scale by the equaton (where 8 - specles richness, A= area, Z = slope of the line (regression co-efficient), C=Y-Intercept].

Options

A. log S= log C-Z log A
B. log S= Z log A
C. log S = log C+ Z log A
D. log S = log C

Answer

To solve the problem regarding the relationship between species richness (S) and area (A) using the logarithmic scale, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Variables**:
- Identify the variables in the equation:
- S = Species richness
- A = Area
- Z = Slope of the line (regression coefficient)
- C = Y-Intercept

2. **Establish the Equation**:
- The relationship is given by the equation:
\[ \log S = \log C + Z \cdot \log A \]
- This equation indicates that the logarithm of species richness (S) is a linear function of the logarithm of area (A).

3. **Graphical Representation**:
- On a graph, plot the area (A) on the x-axis and species richness (S) on the y-axis.
- The relationship is expected to be linear, meaning as the area increases, the species richness also increases.

4. **Interpreting the Components**:
- **Y-Intercept (C)**: This is the value of S when A is 1 (since \(\log(1) = 0\)).
- **Slope (Z)**: This indicates how much S increases for a unit increase in \(\log A\). A steeper slope means a greater increase in species richness with area.

5. **Conclusion**:
- The equation \(\log S = \log C + Z \cdot \log A\) effectively describes the species-area relationship, showing that larger areas tend to support more species.