Question

The logistic population growth model, dN/dt = rN (K N/K), describes a populations growth when an upper growth is assumed. This upper limit to growth is known as the population's______ ,and as N gets larger,dN/dt___________

• A. Biotic potential, increases
• B. Biotic potential, decreases
• C. Carrying capacity, increases
• D. Carrying capacity, decreases

Answer 1

The correct option is D Carrying capacity, decreases

• The logistic population growth model is represented by :
  

dN/dt = rN (K-N/ K)

Where, N = Population density at time t

r = Intrinsic rate of natural increase

K = Carrying capacity

• In nature, a given habitat has enough resources to support a maximum possible number, beyond which no further growth is possible. This limit is known as nature’s carrying capacity (K) for that species in that habitat.
  
• As the value of N increases, the rate of growth dN/dt decreases.

So, the correct option is 'Carrying capacity, decreases'.