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Alexander von Humboldt gave the relation...

Alexander von Humboldt gave the relationship between the species richness and its geographical area . Which of the following is the correct logarithmic equation for his findings ?

A

log C = log Z + S log A

B

log C = log C + A log Z

C

log S = log C + Z log A

D

log Z = log C + S log A

Text Solution

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The correct Answer is:
To solve the question regarding the relationship between species richness and geographical area as described by Alexander von Humboldt, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Concept**: - Alexander von Humboldt proposed a relationship between species richness (the number of different species) and the area of a habitat. This is known as the species-area relationship. 2. **Identifying the Variables**: - In this relationship, we denote: - \( S \): Number of species (species richness) - \( A \): Area - \( C \): A constant that represents the intercept of the line on the graph - \( Z \): The slope of the line, which indicates how species richness changes with area. 3. **Formulating the Equation**: - The relationship can be expressed in a logarithmic form. The general equation for the species-area relationship is: \[ \log S = \log C + Z \log A \] - This equation indicates that the logarithm of the number of species is a linear function of the logarithm of the area. 4. **Conclusion**: - Based on the above understanding, we can conclude that the correct logarithmic equation representing Humboldt's findings is: \[ \log S = \log C + Z \log A \] 5. **Selecting the Correct Option**: - If the options provided in the question include this equation, then that option would be the correct answer.
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