Question

1. Estimate the population of México for the year 2015, assuming that the population obeys a) the General Population equation and b) the Logistic equation. Compare the estimated value with the actual value and discuss and interpret any differences.

Answer 1

Ans a) General Population equation = dN/dT​=r_max​N

In exponential growth, a population's per capita (per individual) growth rate stays the same regardless of population size,making the population grow faster and faster as it gets larger.

Logistic Equation = dN/dT= r_max​((K−N)​N)/K

In logistic growth, a population's per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity (K).

  Exponential growth produces a J-shaped curve, while logistic growth produces an S-shaped curve.