variable meanings Flashcards
B (Hamilton’s Rule)
Benefit to recipient
r (Hamilton’s Rule)
coefficient of relatedness
C (Hamilton’s Rule)
cost to donor
λ
population growth rate
N1
Initial population
No
population when looking at it
Nt=Noλ^t
geometric population growth
Nt
population at time t
t
time steps
Nt=Noe^rt
exponential growth equation
e
natural log (2.72)
r
intrinsic growth rate
d
change
Td=(loge(2)/r)
doubling time equation
dN/dt=rN(1-N/K)
logistic growth equation
dP/dt=cP(1-P)-eP
Levin’s metapopulation model
P
(metapopulation)
proportion of habitat patches occupied at time t
c
(metapopulation)
patch colonization rate
e
(metapopulation)
patch extinction rate at equilibrium
N
(LV)
number of prey
c (lotka-volterra)
capture efficiency
P (lotka-volterra)
number of predators
dP/dt=acNP-mP
predator equation
a
(predator)
efficiency of converting prey into predators
m
(predator)
per capita mortality rate of predators (chances of predator dying)
dN1/dt=r1N1(1-(N1+αN2)/K1)
Lotka-volterra equation of species 1
dN2/dt=r2N2(1-N2+βN1)/K2)
Lotka-Volterra equation of species 2
N1 (lotka-volterra, s1)
number of individuals of species 1
N2 (lotka-volterra, s2)
number of individuals of species 2
r1
growth rate of s1
r2
growth rate of s2
K1
carrying capacity of s1
K2
carrying capacity of s2
α
effect of species 2 on species 1
β
effect of species 1 on species 2
when do two species coexist?
α<1 and β<1
s1 excludes s2 when
α<1 and β>1
s2 excludes s1 when
α>1 and β<1