How do you predict future population size using r?
Predicting future population size requires the exponential growth equation: Nt = N0 × e^(rt), where Nt is the population at time t, N0 is the initial population, e is Euler's number (approximately 2.718), r is the intrinsic rate of increase, and t is the time period.
For instance, with June beetles starting at 3,000 individuals, 400 births and 150 deaths per month (giving r = 250/3000 = 0.083 per month), the population after 6 months would be: N6 = 3,000 × e^(0.083 × 6) = 3,000 × e^0.5 = 3,000 × 1.649 = approximately 4,947 beetles.
This calculation assumes constant growth conditions, which rarely occur in nature but provides a useful baseline for comparison. When environmental factors change or carrying capacity is reached, you'll need to switch to logistic growth models for more accurate predictions.
Suggested Q&A
General · Class 12- GeneralClass 12Electric Field at Centre of Ring with Non-Uniform Charge Distribution. Four quadrants carry linear charge densities: +2λ, −2λ, +λ, −λ. Find electric field at centre.
- GeneralClass 12P°(hexane) = 408 Torr, P°(heptane) = 141 Torr. x(hexane) = 0.300. Find Y₆ and Y₇.
- GeneralClass 122N₂O₅(g) → 4NO₂(g) + O₂(g). Initial P = 50 mmHg; P at 30 min = 87.5 mmHg. Find P at 60 min.
- GeneralClass 12What is the difference between psychosis and neurosis?
- GeneralClass 12What is the difference between prism and a pyramid?
- GeneralClass 12What is the difference between phrase and clause?