Lec 14 Bild 3 2011(1)

Lec 14 Bild 3 2011(1) - Announcement from Marina (TA) No...

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Announcement from Marina (TA) No class this Friday due to Veteran’s day. Alternate office hours: Thursday 10-11 am in Muir Bio 2165.
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Lecture 14: Population growth II I. Geometric and exponential growth II. Logistic growth III. Density dependence IV. Metapopulations
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Four processes make up population growth: Births & deaths: Both depend on current population size Immigration & emigration: Movement among populations
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Four processes make up population growth: Births & deaths: Both depend on current population size Immigration & emigration: Movement among populations
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Models that we will consider in this lecture focus on births and deaths only Change in population over time (dN/dt) = (b – d)N b, d = per capita birth and death rates b – d = r = the instantaneous rate of increase or the per capita rate of population increase over a short time interval. r = rate of population growth First model of population growth: dN/dt = rN Exponential or Geometric growth
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I. Geometric or exponential growth
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I. Geometric or exponential growth dN/dt = rN r > 0, pop. grows r < 0, pop. declines r = 0, pop. stable
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I. Geometric or exponential growth N t = N 0 e rt dN/dt = rN This equation tells us a population’s growth rate at a specific time interval. This equation tells us a population’s size after a time interval given a particular value of r and the original population size. This equation allows us to predict population size at time t. N t = pop size at time t in the future N 0 = initial pop size e = base of natural log (2.718) r = b-d t = time interval
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I. Geometric or exponential growth Example 1 of how to predict a population’s growth with dN/dt = rN From your book: Concept Check 53.2 2009, US population = 307,000,000 people 14 births and 8 deaths per 1,000 people in 2009 What was the US net population growth that year? What was the US growth rate?
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This note was uploaded on 01/16/2012 for the course BILD 3 taught by Professor Wills during the Fall '07 term at UCSD.

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Lec 14 Bild 3 2011(1) - Announcement from Marina (TA) No...

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