On a logarithmic scale, the relation between species richness and area is described by the following equation:
`logS=logC+ZLogA`
In the above equation 'Z' represents

Options

A. Y-intercept
B. Species richness
C. Regression coefficient
D. Area explored

Answer

To solve the question regarding the equation `logS = logC + Z logA`, we need to identify what the variable 'Z' represents in the context of the species-area relationship. Let's break it down step by step:

### Step-by-Step Solution:

1. **Understanding the Equation**: The equation `logS = logC + Z logA` describes the relationship between species richness (S) and area (A) on a logarithmic scale. Here, `S` is the species richness, `C` is a constant, `A` is the area, and `Z` is a coefficient.

2. **Identifying the Variables**:
- `S` (Species Richness): This represents the number of different species in a given area.
- `C` (Constant): This is the y-intercept of the relationship when plotted on a logarithmic scale.
- `A` (Area): This is the area being considered in relation to species richness.
- `Z` (Coefficient): This is the variable we need to define.

3. **Understanding the Role of 'Z'**: In the context of the species-area relationship, 'Z' quantifies how species richness changes with area. It is often referred to as the slope of the line when the relationship is plotted on a logarithmic scale. This means that 'Z' indicates the rate at which species richness increases as the area increases.

4. **Conclusion**: Based on the definitions and roles of the variables in the equation, we can conclude that 'Z' represents the regression coefficient, which indicates the relationship between the area and species richness.

### Final Answer:
In the equation `logS = logC + Z logA`, 'Z' represents the **regression coefficient**.

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