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Lecture 3

# EEB 3408W Lecture 3: ecology lecture 3 Premium

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Department
Ecology, Evolution, and Behav
Course Code
EEB 3408W
Professor
Cavender- Bares, Jeannine

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Density independent growth - continuous exponential growth model, unlimited resources
dN/dt = rN, Nt = N0ert
Change per unit of time, population quantity
lnNt = lnN0 + rt graphed with t as x axis and ln population size as y, slope is r and lnN0 is the y
intercept
- Units of r = year-1
Density dependent population growth - more realistic model
- Sources are not infinite
dN / dt = rN((K-N)/K)
- Adds carrying capacity, max number that fit
- Immigration and emigration are equal
- All individuals are identical (reproduction)
- Parthenogenetic females, no males
- Intraspecific (within population) competition reduces per capita growth
- Interspecific (2 different populations) competing
- K is the environmental carrying capacity
- K-N is the unused carrying capacity
- K-N / K = the fraction of the carrying capacity that still remains (feedback term)
- Only part that differs from the density independent
- Now growth is logistic instead of exponential
- dN/Ndt = r - (r/K)N = per capita growth
- This is a linear function
- The y axis is dN/Ndt
- The x axis is N (population)
- The slope is -(r/K)
- The y intercept is r
- Integrated: Nt = K / (1+ (K-N0)/Nt)e-rt
-
- Maximum sustainable yield = K/2
- Rate increases, reaches a peak then decreases to 0
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Description
Density independent growth - continuous exponential growth model, unlimited resources rt dN/dt = rN, N = Nte 0 Change per unit of time, population quantity lnN t lnN + 0t graphed with t as x axis and ln population size as y, slope is r and lnN is the y 0 intercept -1 - Units of r = year Density dependent population growth - more realistic model - Sources are not infinite dN / dt = rN((K-N)/K) - Adds carrying capacity, max number that fit - Immigration and emigration are equal - All individuals are identical (reproduction) - Parthenogenetic females, no males - Intraspecific (within population) competition reduces per capita growth - Interspecific (2 di
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