BIO120H1 Lecture Notes - Step Function, Inflection Point, Smoothness
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BIO120H1 Full Course Notes
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Defining populations and individuals, with a focus on some unusual cases. Exponential and geometric population growth models without density dependence incorporating density dependence; effects of crowding, etc. More complex density dependence: time delays, allee effects. Population: collection of individuals of the same species in a certain area. Individuals in population interact in various ways which affect reproduction and mortality. Notion of what is an individual can become complicated. Aspen: clones, one seed produces many identical, connected stems. Dandelion: no sex, many identical seeds produce many identical, larkspur: many unique seeds produce many unique plants unconnected plants. Predict the trajectory of population growth through time, i. e. , n as a function of t. Time advances one step: t t + 1. Challenge: choosing simple but realistic parameters for f. Calculus lets us look at smooth changes where population size is a continuous function (may be curved but defined at all times)