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Question

Relationship between species richness (S) and area (A) represented in the following graph is described by the equation


A
log S = log A + Z log C
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B
log C = log A + S log A
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C
log S = log C + Z log A
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D
log C = log S + Z log A
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Solution

The correct option is C log S = log C + Z log A
The German naturalist and geographer, Alexander von Humboldt, while exploring South American jungles, observed that species - richness increased with increasing explored area, but only up to a limit. This relationship between species richness and explored area is a rectangular hyperbola, described by the equation
S=CAz Where S is species richness; C is Y-intercept; A is area and Z is the slope to the line (regression coefficient).
On a logarithmic scale, the relationship is a straight line, described by the equation
Log S = Log C + Z log A



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