Choose one of the following equations to model exponential population growth for

Question

Choose one of the following equations to model exponential population growth for an animal A. a. N = dN (ln R_0/K) b. dN/dt = rN (K - N)/K) c. dN/dt = rN d. dN/dt = r_1 N_1 ((K_1 + N_1 - aN_2)/aN_2) e. N = dN (ln R_0)(K - N/K) Given the following parameters for A: N = the population with N set initially at 3 ln R_0 = 2.0 sigma x xmx/sigma xmx = 4 K = carrying capacity = 2000 a = the competition growth coefficient s = 5 a. Which equation should you choose? b. What is the intrinsic rate of increase for this population? c. What is the final expected population generated by the correct equation?

Explanation / Answer

Exponential population growth rate is shown by

dN/dt = rN

where dN/dt is rate of growth of population

r is intrinsic rate of increase

N is size of population.

t is time period.

3a. As shown above we should choose equation c.

3b. Intrinsic rate of increase is r.

r=lnRo/t

r= 2/t

3c. Final expected population is maximum population that an environment can sustain that is equal to carrying capacity.

So final expected population is 2000.

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