BIO220H1 Lecture Notes - Lecture 5: Logistic Function, Inflection Point, European Cooperation In Science And Technology

• School: UTSG
• Department: Biology
• Course: BIO220H1
• Professor: John Stinchcombe

Document Summary

Some harvesting is absolutely necessary = energy, biomass, and nutrients. General rule: harvest out the recruitment (new individuals coming in) and keep the stock alone (base population) Inflection point at k/2 = half of the carrying capacity. Be careful of approaching 0 and equals 0: density dependent growth rate can limit population size, the tern carrying capacity on islands is limited by their nesting space, reliance on fish as a daily source of protein. Maximizing population growth: per capita rate of increase = dn / dt x 1 / n (on an individual level) = declining rate of increase as we approach the carrying capacity, multiplying that by population size, parabola. All logistic curves of that formula will have an inflection point at k/2. Formula: dn/dt = r n [(k - n) / k] Ideal harvesting strategy: harvesting k/2 individuals per year, so that the population is at maximum growth rate highest chances of replenishment.