In the equation of species-area relationship, the letter 'C' and 'Z' represent

Options

A. Option1 C = Regression coefficient,Z = y - intercept
B. Option2 C= slope of the line,Z = regression coefficient
C. Option3 C = y - intercept,Z = slope of the line (regression coefficient)
D. Option4 Both 2 and 3

Answer

**Step-by-Step Solution:**

1. **Understanding the Species-Area Relationship**: The species-area relationship describes how the number of species (species richness) increases with the area being studied. This concept was developed by Alexander von Humboldt.

2. **Identifying the Equation**: The relationship can be expressed mathematically. The equation for the species-area relationship is given as:
\[ \log S = \log C + Z \log A \]
where:
- \( S \) = species richness
- \( C \) = y-intercept
- \( Z \) = slope of the line (regression coefficient)
- \( A \) = area

3. **Interpreting the Variables**:
- **C (y-intercept)**: In the context of the equation, \( C \) represents the value of species richness when the area is 1 (i.e., when \( A = 1 \)). It is a constant that helps to define the starting point of the relationship on the graph.
- **Z (slope)**: The letter \( Z \) represents the slope of the line, indicating how much the species richness increases with an increase in area. It is also referred to as the regression coefficient, which quantifies the relationship between area and species richness.

4. **Conclusion**: Therefore, in the species-area relationship equation, \( C \) is the y-intercept, and \( Z \) is the slope of the line.

**Final Answer**: In the equation of species-area relationship, \( C \) represents the y-intercept, and \( Z \) represents the slope of the line (regression coefficient).

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