BIOL 127 Lecture Notes - Lecture 3: Mathematical Constant, Aphid, Positive Feedback

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Therefore, we want to linearize the curve: take natural log of population size get a straight line! r>0 larger populations grow faster. More individuals reproducing: we want to get rid of e , take natural log, solve and place e constant, units are individuals are per capita rate! (per head, per individual, per unit time) R tells us how fast a population is growing: shortcut, natural log of 2 over r. Intrinsic rate of natural increase: estimate how/when the time will double. Deterministic model: eventually hits x axis and goes instinct, demographic stochasticity: random birth and death sequences, relative size of b and d and # of individuals influence insect population that will. Instantaneous birth is less than instantaneous death doomed to go extinct! Lectures 05: logistic growth: density dependence taking place rn=accelerator ; (1-n/k)=decelerator, k = carrying capacity/max population size given the environmental conditions. If you sit below k/2, population is almost growing exponentially.

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