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Law Of Tolerance And Quadratic Models

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The Law of Tolerance states that a species’ performance diminishes as an abiotic factor deviates from its optimal range. If the physiological stress on a species is modeled as a function of temperature, x, using the quadratic equation f(x)=ax2+bx+cf(x)=ax^2+bx+c, how would an increase in the coefficient a affect the potential distribution of that species?

A

It steepens the curve, causing deviations from the optimum to become more pronounced, which may reduce the habitable range.

B

It shifts the optimum range upward without altering the steepness of the curve.

C

It has no significant effect on species distribution as a merely scales the function without affecting tolerance limits.

D

It flattens the curve, thereby increasing the range of tolerable temperatures.

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