Question

Study the image given below and identify the equations for the curves represented by A and B.

• A. $A-logS=logC+ZlogA,B-S=C{A}^z$
• B. $A-S=C{A}^z,B-logS=logC+ZlogA$
• C. $A-S=logC+ZlogA,B-logS=C{A}^z$
• D. $A-logS=C{A}^z,B-S=logC+Zlog$

Answer 1

The correct option is B $A-S=C{A}^z,B-logS=logC+ZlogA$

Alexander von Humboldt was a German naturalist and geographer who proposed the species - area relationship of an ecosystem. He observed that within a region, species richness increases with increasing explored area, but upto a certain limit.

The relationship plot between species richness and area gives a rectangular hyperbola.
This graph can be represented by the equation,

$S=C{A}^z$

On logarithmic scale, it can be represented as

log S = log C + Z log A

where S - Species richness
Z - Slope of line (regression coefficient)
C - Y-intercept
A - Area

These equations can be graphically represented as: