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Lecture 17

ZOL 355 Lecture Notes - Lecture 17: Logistic Function, Exponential Growth, Loggerhead Sea TurtlePremium

7 pages50 viewsSpring 2018

Department
Zoology
Course Code
ZOL 355
Professor
P.Ostrom
Lecture
17

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Lecture 17: Population Ecology, Logistic Growth
Brief Review: Exponential & Geometric Growth Equations for Estimating
Population Size N and Growth Rate r or λ
Assumptions of the exponential growth equation
o When is the exponential growth equation a reasonable model for
population growth?
o All populations have the potential for exponential growth but
o this is not the case for long, Why?
There is a limit to the population; space, food, etc.
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Population growth is limited by the carrying capacity or K such populations
experience logistic growth.
o Comparison of logistic and exponential growth curves
Carrying Capacity - the maximum amount a population can be
K is a population size that has reached its max size
o Comparison of equations for population growth rate for logistic and
exponential growth
Exponential Growth Logistic
(unrestricted) (restricted or bounded)
dN/dt = rN dN/dt = rN(1 N/K)
K = carrying capacity
What happens to N and dN/dt if N=K?
Population is not growing - its zero
What happens to N and dN/dt if N<K?
Population is decreasing
What happens to N and dN/dt if N>K?
Population is increasing
o K is the carrying capacity but also the equilibrium population size
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