BIO220H1 Lecture Notes - Lecture 16: Sustainable Fishery, Socket Wrench, Exponential Growth
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BIO220H1 Full Course Notes
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Document Summary
Population growth formula, otherwise known as the logistics equation, refers to dn/dt = r x n x (k-n)/k. Dn = change in abundance, dt = change in time, dn/dt = change in abundance over time. R = intrinsic rate of population growth, k = carrying capacity. For population growth, before the k/2 mark, population growth accelerates, until reaching a certain point population growth decelerates. For the logistics equation, this can be used to predict harvesting. How much to take out of a population, and etc. For harvesting, if populations are harvested to 90% of k, they will recover to k. If populations are harvested till they are 10% of k, then it is believed that exponential growth phase will reoccur. The challenge is to know which percentage to harvest in order to maximize growth rate. The inflection point states that population increase is maximized at k/2.
