53-popecolmod - dN = r N (K - N) dt K Logistic Model of...

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Introduction to Ecology: Population Ecology
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Factors biotic abiotic
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Populations size, density
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Populations Dispersion (Wikipedia)
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Growth Rate of a Population change in population size = (births + immigrations) - (deaths + emigrations) (note: during a specified time interval) Simplified version change in population = [(# of births) - (# of deaths)] during time interval when N = # of individuals in population during time t N t = B - D
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N t = N (b - d) This can be rewritten as: Where: b = natality = average per capita birth rate = # of births/1000 per year d = mortality = average per capita death rate = # of deaths/1000 per year
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Instantaneous Growth Rate of a Population Per capita growth rate = r = b - d N t = rN dN dt = r N In reality: r = (b - d) + (i - e)
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Exponential Growth Model: J-shaped curves
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Logistic Model of Growth K = carrying capacity = max. # of individuals the environment can support K - N = how many more can be supported than are now ( N ) K - N = fraction available for further growth K The growth equation becomes:
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Unformatted text preview: dN = r N (K - N) dt K Logistic Model of Growth: S-shaped (sigmoid) curves stationary log lag Real data: Paramecium caudatum (54-5) usually seen (not completely smooth) reindeer introduction & crash ? Other ways to cheat for awhile Factors affecting population density-dependent boom-bust cycles eg: ~ 10 year rhythms of hares & lynxes Snowy owls & lemmings cicadas avoidance Factors affecting population density-dependent Competition: spiders vs. lizards Factors affecting population density- independent Eg: tsunami (Wikipedia) Demography iteroparous semelparous r strategist K strategist Life table Survivorship curves Drummond phlox herring gull Metapopulation agriculture Industrial revolution Human population growth 7 billion 2011 Mexico: birth & death rates US Age structure Why are there so many humans? Consumption (over)population ecological footprint Do we want this ?...
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53-popecolmod - dN = r N (K - N) dt K Logistic Model of...

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