BIO120H1 Lecture Notes - Lecture 18: Net Reproduction Rate, Population Ecology, Exponential Growth
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Population: collection of individuals in a certain area. Aspen: clones: one seed produces many identical, connected stems. Larkspur man unique seeds produce many unique plants. Dandelion: no sex; many identical seeds produce many identical, unconnected plants. Predict the trajectory of population growth through time, i. e. , n as a function of t. Nt (time advances one step) t -> t+1. Challenge: choosing simple but realistic parameters for f. When using differential equations, time steps are infinitesimally small: use concept of lim ntial f limits & ction. When using differential equations, time steps are infinitesimally small: use concept of lim calculus; growth is smooth; best suited for species with continuous reproduction. When using difference equations, time steps are discrete units (days, years, etc. ): use iter recursion equations; growth is stepwise and bumpy; best suited for episodic reproduction. Different organisms might be better fit by one or the other.
