In Exercise 4.22 we saw the equation, due to Fisher et al (1943), S = ln

Question:

In Exercise 4.22 we saw the equation, due to Fisher et al (1943), S = α ln

1 +

, where S is the number of species in a random sample from a population, N is the number of individuals in the sample, and

α is a constant.

Experimental data, and a comparison to the theoretical equation, are shown in Fig. 4.13.

a. How is dS/dt related to dN/dt? Does your answer make scientific sense?

b. What is lim N→∞

dS dN

Is this consistent with your answer to the first part of the question?

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