BIOL 3060 Lecture Notes - Lecture 6: Empirical Measure

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Lecture #6 - wednesday, jan 23rd, 2019 discrete resource growth discrete model can produce overshoot dynamics (can be non-excitable or excitable) It"s paradoxical, because you"d think a large population would be better off, but it turns out they"re often more vulnerable to a drop in resources - Chris wilmers argument: warmer climate increases r further, exciting boom and bust" dynamics. A population persists if its local densities remain safely above 0 the assumption is that a population has a high probability of going locally extinct when they attain low densities. Measuring stability: common metrics of stability: resilience a measure of the return time to equilibrium after a perturbation the quicker the return time, the more resilient or stable the system. Cv = sd/mean = sqrt(variance)/mean low cv is stable, and high cv is unstable how do growth rates (r) influence stability? rule #1:

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