3. Population growth (25 points):
(a) Calculate population growth with geometric growth at N0 = 250, R = 5.5 and t = 27.
N27 =
(b) Calculate population growth with exponential growth at N0 = 250, r = 0.92 and t = 33.
N33 =
(c) What would the population size be with logistic growth at N0 = 250, r = 0.92, K = 42,750 and t = 33?
(No calculations required for (c). Just an approximation)
N33 =
(d) If a population of cranes doubled in 516 years, then what is the the instantaneous rate of population growth (r)?
r =
(e) Time lag: What is the population size at time = 4 (N4) when K = 8000, R = 6.5, N2 = 1000 and N3 = 6000
with a time lag.
N4 =
(f) Time lag: What is the population size at time = 10 (N10) when K = 8000, R = 6.5, N8 = 7000 and N9 =
12,000 with a time lag.
N10 =
(g) If a population of frogs was reduced by half in 712 years, then what is the instantaneous rate of population
growth (r)?
r =
(h) What is one assumption that has to be meet for an accurate estimate of r in (d) and (g)?