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BIOB50H3 Final: BIOB50-FORMULA-SHEETPremium

4 pages45 viewsFall 2017

Department
Biological Sciences
Course Code
BIOB50H3
Professor
Peter Molnar
Study Guide
Final

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BIOB50 FORMULA SHEET
Lecture 6
r-selection and K-selection
dN/dt = rN (1 N/K)
Lecture 7
Population growth / Life tables
Nt+1 = Nt + B - D
Population size (at time t+1); Population size (at time t); number of births; number of deaths
Geometric growth
Nt+1 = Nt
Population size (at time t+1); Population size (at time t)
λ = geometric growth rate or per capita finite rate of increase (if λ = 1, population size does not
change).
Exponential growth
N(t) = N(0)ert
= er
r = ln()
dN/dt = rN
Net reproductive rate (R0)
R0 = lxFx
Lecture 8
Logistic growth: assumes that r declines linearly as N
increases
dN/dt = rN (1 N/K)
The logistic equation can be modified to include a time lag (τ):
Geometric and exponential growth curves overlap because the
equations are similar in form. λ can be calculated from r, and
vice versa.
Whenever R0 > 1, λ will also be > 1 (r > 0), so the
population increases in size.
N = population density
r = per capita growth rate
K = carrying capacity
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