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Population Growth Outline

# Population Growth Outline - Population Growth Exponential...

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Population Growth Exponential Growth Non-overlapping Generations N t =(R) t N 0 – where the parents die before the offspring reproduce N = population R = #offspring/female t = generation or time interval N 0 = initial # of individuals Example: If ten fertile female lions each have three offspring then die, how many lions will exist after five generations? N t =(R) t N 0 ? = (3) 5 10 The population of lions after t (5 generations) is 2,430 lions Overlapping Generations with Discrete Reproduction - N t = (λ) t N 0 where parents are still alive when their offspring reproduce and reproduction does not occur continuously but during a mating season, for example. λ = expected lifetime reproduction/generation time Overlapping Generations with Continuous Reproduction - N t = (e) r t N 0 where parents are still alive when their offspring reproduce and reproduction occurs continuously r = (birth-death) e = math constant e Density Dependent Growth Logistic Growth Model - ΔN = r max *[(K-N)/N] *N where the population will only grow as large as the resources/environment will allow it

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